Bonsai Algorithm#
The Bonsai Algorithm provides a method to create a TernaryTree encoding with the same toplogy as a target quantum computer.
First we’ll define a RustworkX graph representing the topology of the device (this can be obtained from most quantum SDKs.)
Just like the original paper, we’ll use a heavy-hex layout with 36 qubits.
import rustworkx as rx
from rustworkx import visualization as rxv
import matplotlib.pyplot as plt
import numpy as np
import ferrmion as fr
graph = rx.PyGraph()
graph.add_nodes_from(range(37))
graph.add_edges_from_no_data(
[
(0, 1),
(0, 2),
(0, 3),
(1, 4),
(2, 5),
(3, 6),
(4, 7),
(4, 8),
(5, 9),
(5, 10),
(6, 11),
(6, 12),
(7, 13),
(8, 14),
(9, 15),
(10, 16),
(11, 17),
(12, 18),
(13, 19),
(13, 20),
(14, 21),
(14, 22),
(15, 23),
(15, 24),
(16, 25),
(16, 26),
(17, 27),
(17, 28),
(18, 29),
(18, 30),
(22, 31),
(26, 32),
(30, 33),
(31, 34),
(32, 35),
(33, 36),
]
)
EdgeIndices[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35]
Let’s plot a diagram of the device so we can see it’s right.
(This bit looks complicated but it’s just to plot a nice-looking diagram so you can safely itnore it)
r = np.array([0, -1]) * np.sqrt(1 / graph.num_nodes())
s = np.array([1 * np.sin(45), np.cos(45)]) * np.sqrt(1 / graph.num_nodes())
q = np.array([-1 * np.sin(45), np.cos(45)]) * np.sqrt(1 / graph.num_nodes())
pos = {
0: [0, 0],
1: q,
2: s,
3: r,
4: 2 * q,
5: 2 * s,
6: 2.0 * r,
7: 2 * q - s,
8: 2 * q - r,
9: 2 * s - r,
10: 2 * s - q,
11: 2 * r - q,
12: 2 * r - s,
13: 2 * (q - s),
14: 2 * q - 2 * r,
15: 2 * s - 2 * r,
16: 2 * s - 2 * q,
17: 2 * (r - q),
18: 2 * r - 2 * s,
19: 3 * q - 2 * s,
20: 2 * (q - s) + r,
21: 3 * q - 2 * r,
22: 2 * (q - r) + s,
23: 2 * (s - r) + s,
24: 2 * (s - r) + q,
25: 3 * s - 2 * q,
26: 2 * (s - q) + r,
27: 3 * r - 2 * q,
28: 2 * r - 2 * q + s,
29: 3 * r - 2 * s,
30: 2 * (r - s) + q,
31: 2 * q - 2 * r + 2 * s,
32: 2 * (s - q + r),
33: 2 * (r - s + q),
34: 2 * q - 3 * r + 2 * s,
35: 2 * (s - q + r) - q,
36: 2 * (r - s + q) - s,
}
pos = rx.spring_layout(graph, pos=pos, fixed={*range(graph.num_nodes())})
rxv.mpl_draw(graph, with_labels=True, pos=pos, node_color="orange", node_size=400)
Root node#
The root node is set as the node for which its longest path is the shortest of all the nodes’ longest paths.
distances = rx.distance_matrix(graph)
plt.bar([*range(distances.shape[1])], np.max(distances, axis=1))
plt.title("Longest Paths")
plt.xlabel("Start Node")
plt.ylabel("Path Length")
plt.show()
So for this graph, node 0 has the shortest path length and is therefore the root of the tree.
To implement the algorithm, we’ll build the graph out of Ternary Tree Nodes from ferrmion. By doing this, making an encoding from the graph is as simple as passing the root node to a ferrmion.TernaryTree.
from ferrmion.encode.ternary_tree_node import TTNode
from enum import Enum
import numpy as np
# First we find the root
root_index = np.argmin(np.max(distances, axis=1))
node_queue = [root_index]
used_indices = {root_index}
# Set values for the root node.
nodes = [TTNode(parent=None) for _ in range(graph.num_nodes())]
nodes[root_index].root_path = ""
nodes[root_index].qubit_label = root_index
Labelling Scheme#
At this point it’s useful to define a preference for which branch we want to assign new nodes to.
In the original paper there are two methods, which assign each of X, Y and Z in order of prefernce:
Homogeneous: [X, Y, Z]
Heterogenous: [Z, X, Y]
class LabellingTypes(Enum):
HOM = "homogenous"
HET = "heterogenous"
labelling = LabellingTypes("homogenous")
Building the Tree#
To build the tree, we follow a bredth-first search, adding child nodes to each parent in the order defined by the Labelling type we have used.
while len(node_queue) > 0:
node = node_queue.pop(0)
parent = nodes[node]
match labelling:
case LabellingTypes.HOM:
chars = ["x", "y", "z"]
case LabellingTypes.HET:
chars = ["z", "x", "y"]
neighbors = list(set(graph.neighbors(node)).difference(used_indices))
for child in neighbors[:3]:
node_queue.append(child)
used_indices.add(child)
n_neighbors = len(neighbors)
for neighbor, char in zip(neighbors[:3], chars[:n_neighbors]):
parent.add_child(
char,
child_node=nodes[neighbor],
root_path=f"{parent.root_path}{char}",
qubit_label=neighbor,
)
nodes[neighbor].parent = parent
Orphaned Nodes#
At this point we need to check if the tree covers all the nodes of our original graph (i.e. the tree spans the graph).
If not, then we attach orphaned nodes to the node closest to it which has space for another child.
if len(used_indices) == graph.num_nodes():
print("Tree spans the graph!")
else:
print("Tree does not span the graph!")
unused_indices = set(range(graph.num_nodes())).difference(used_indices)
for unused in unused_indices:
closest = np.argsort(distances[unused])
for used in closest:
used_node: TTNode = nodes[used]
for child_branch in chars:
if getattr(used_node, child_branch) is None:
used_node.add_child(
child_branch,
child_node=nodes[unused],
root_path=f"{used_node.root_path}{child_branch}",
qubit_label=unused,
)
unused_indices.remove(used)
break
if len(unused_indices) > 0:
print("Error, not all qubits assigned to nodes.")
Tree spans the graph!
Creating an Encoding#
Now we can create a TernaryTree encoding from the root node.
bonsai = fr.TernaryTree(graph.num_nodes(), root_node=nodes[root_index])
bonsai.enumeration_scheme = bonsai.default_enumeration_scheme()
Let’s see what this encoding looks like
from ferrmion.visualise import draw_tt
draw_tt(bonsai, enumeration_scheme=bonsai.enumeration_scheme)
Inbuilt Function#
There is an in-built function in ferrmion, we only need to pass the initial graph.
from ferrmion.optimize import bonsai_algorithm
bonsai = bonsai_algorithm(graph=graph, homogenous=True)
draw_tt(bonsai, enumeration_scheme=bonsai.enumeration_scheme)
or the heterogenous labelling, and optionally a maximum number of nodes
bonsai = bonsai_algorithm(graph=graph, homogenous=False, max_nodes=14)
draw_tt(bonsai)
Encoding a Hamiltonian#
We can encode a hamiltonian in the usual way, using the TernaryTree encoding we just created.
Note that the number of qubits in the encoding is equal to the number of qubits in the original graph, even when you input a value for max_nodes.
import json
from pathlib import Path
folder = Path.cwd().joinpath(Path("../../../python/tests/"))
with open(folder.joinpath("./data/h2o_sto-3g.json"), "rb") as file:
data = json.load(file)
ones = np.array(data["ones"])
twos = np.array(data["twos"])
fham = fr.molecular_hamiltonian(ones, twos, 0.0)
bonsai.encode(fham)
QubitHamiltonian({'IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -55.5499652939275+0i, 'IIIIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 1.3692852793737031+0i, 'IIIIIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.04260474193554964+0i, 'IIIIIIIIIIIIXZIIIIIIIIIIIIIIIIIIIIIII': -0.001276799856755393+0i, 'IIIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 12.412562749241015+0i, 'IIIIIIIIIIIIZZIIIIIIIIIIIIIIIIIIIIIII': 0.2788345398357328+0i, 'IIIIIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.04260474193554967+0i, 'IIIIIIIIIIIYIZIIIIIIIIIIIIIIIIIIIIIII': -0.004624697930126074+0i, 'IIIIIIIIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.006883909531020928+0i, 'IIIIIIIIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.04576168631235402+0i, 'IIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 12.412562749241015+0i, 'IIIIIIIIIIIZIZIIIIIIIIIIIIIIIIIIIIIII': 0.2723251803602428+0i, 'IIIIIIIIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.04576168631235402+0i, 'IIIIIIIIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': 1.1861764896511457+0i, 'IIIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.3695921964533493+0i, 'IIIIIIIIIIXIIZIIIIIIIIIIIIIIIIIIIIIII': -0.041748033270122595+0i, 'IIIIIIIIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00019258277957225466+0i, 'IIIIIIIIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.09069468683278183+0i, 'IIIIIIIIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.002195849780574526+0i, 'IIIIIIIIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.08689038253453374+0i, 'IIIIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000011102230246251565i, 'IIIIIIIIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0011728496324256812+0i, 'IIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 1.2032770698223643+0i, 'IIIIIIIIIIZIIZIIIIIIIIIIIIIIIIIIIIIII': 0.1495529514646438+0i, 'IIIIIIIIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0016049614613082557+0i, 'IIIIIIIIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.19925178925179549+0i, 'IIIIIIIIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0024520742319046086+0i, 'IIIIIIIIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.19651043562860998+0i, 'IIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.2282196033169116+0i, 'IIIIIIIIIXIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.030072497489920507+0i, 'IIIIIIIIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0005352864175997575+0i, 'IIIIIIIIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.05594810826424417+0i, 'IIIIIIIIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.005292538036894558+0i, 'IIIIIIIIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.05602378747674352+0i, 'IIIIIIIIIXXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.007909859219790817+0i, 'IIIIIIIIIXZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.018266563940230497+0i, 'IIIIIIIIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.005292538036894558+0i, 'IIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.7826196716002198+0i, 'IIIIIIIIIZIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.13757320524011335+0i, 'IIIIIIIIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.005238342528165344+0i, 'IIIIIIIIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.20050918168196913+0i, 'IIIIIIIIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.005363081061715332+0i, 'IIIIIIIIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.1927862357089559+0i, 'IIIIIIIIIZXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.025710228344431634+0i, 'IIIIIIIIIZZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.12476309978484465+0i, 'IIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.28158077115505264+0i, 'IIIIIIIIXIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.03935434664997739+0i, 'IIIIIIIIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0052550748930259225+0i, 'IIIIIIIIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.06750035453726223+0i, 'IIIIIIIIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.004664385121536082+0i, 'IIIIIIIIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.07633055491601706+0i, 'IIIIIIIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.019038338034766407+0i, 'IIIIIIIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01883195682114601+0i, 'IIIIIIIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.015251288901414455+0i, 'IIIIIIIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024214302142386256+0i, 'IIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000027755575615628914i, 'IIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.7826196716002201+0i, 'IIIIIIIIZIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.1471331824402226+0i, 'IIIIIIIIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.005363081061715332+0i, 'IIIIIIIIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.19278623570895587+0i, 'IIIIIIIIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.005238342528165344+0i, 'IIIIIIIIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.20050918168196913+0i, 'IIIIIIIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.009611394286546185+0i, 'IIIIIIIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14251230266477907+0i, 'IIIIIIIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.011300857017540786+0i, 'IIIIIIIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14916067114498632+0i, 'IIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 1.3692852793737034+0i, 'IIIIIIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.22003977334376146+0i, 'IIIIIIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004624697930126075+0i, 'IIIIIIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.2723251803602428+0i, 'IIIIIIIZIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.001276799856755393+0i, 'IIIIIIIZIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.2788345398357328+0i, 'IIIIIIIZIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.04767397029989949+0i, 'IIIIIIIZIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.15670394815268146+0i, 'IIIIIIIZIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.02978246200549448+0i, 'IIIIIIIZIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1471331824402226+0i, 'IIIIIIIZXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024737509033955715+0i, 'IIIIIIIZZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.13757320524011335+0i, 'IIIIIIXYIIIXIYIIIIIIIIIIIIIIIIIIIIIII': 0.0033478980733706813+0i, 'IIIIIIXYIIIYIXIIIIIIIIIIIIIIIIIIIIIII': -0.0033478980733706813+0i, 'IIIIIIXYIIIZIXIIIIIIIIIIIIIIIIIIIIIII': 0.013857911511535839+0i, 'IIIIIIYXIIIXXYIIIIIIIIIIIIIIIIIIIIIII': 0.006509359475489988+0i, 'IIIIIIYXIIIXZYIIIIIIIIIIIIIIIIIIIIIII': -0.0033478980733706813+0i, 'IIIIIIYXIIIYXXIIIIIIIIIIIIIIIIIIIIIII': -0.006509359475489988+0i, 'IIIIIIYXIIIYZXIIIIIIIIIIIIIIIIIIIIIII': 0.0033478980733706813+0i, 'IIIIIIYXIIIZXXIIIIIIIIIIIIIIIIIIIIIII': 0.0033478980733706813+0i, 'IIIIIIYXIIIZZXIIIIIIIIIIIIIIIIIIIIIII': -0.013857911511535839+0i, 'IIIIIIYYIIIXYYIIIIIIIIIIIIIIIIIIIIIII': 0.006509359475489988+0i, 'IIIIIIYYIIIYYXIIIIIIIIIIIIIIIIIIIIIII': -0.006509359475489988+0i, 'IIIIIIYYIIIZYXIIIIIIIIIIIIIIIIIIIIIII': 0.0033478980733706813+0i, 'IIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.24174347916141453+0i, 'IIIIIIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.04260474193554964+0i, 'IIIIIIZIIIIIXZIIIIIIIIIIIIIIIIIIIIIII': 0.001276799856755393+0i, 'IIIIIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 1.3095987815670713+0i, 'IIIIIIZIIIIIZZIIIIIIIIIIIIIIIIIIIIIII': 0.18148106566453154+0i, 'IIIIIIZIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.006883909531020928+0i, 'IIIIIIZIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.00278320271207416+0i, 'IIIIIIZIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.04576168631235402+0i, 'IIIIIIZIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.24862738869243545+0i, 'IIIIIIZIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00019258277957225466+0i, 'IIIIIIZIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.03962027835876848+0i, 'IIIIIIZIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0016049614613082557+0i, 'IIIIIIZIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.14896740087869104+0i, 'IIIIIIZIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0005352864175997575+0i, 'IIIIIIZIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.03074172994251951+0i, 'IIIIIIZIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.005238342528165344+0i, 'IIIIIIZIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.13727790125213096+0i, 'IIIIIIZIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0004440400296842834+0i, 'IIIIIIZIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.02985187056319963+0i, 'IIIIIIZIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.005699114922710205+0i, 'IIIIIIZIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.005363081061715332+0i, 'IIIIIIZIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.11949869311198345+0i, 'IIIIIIZZIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.004624697930126075+0i, 'IIIIIIZZIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.16762315415299572+0i, 'IIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006962569100596312+0i, 'IIIIIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000023702939314246265+0i, 'IIIIIXIIIXIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000003507589357822036+0i, 'IIIIIXIIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001576519939186647+0i, 'IIIIIXIIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003608549427980129+0i, 'IIIIIXIIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004866371549477807+0i, 'IIIIIXIIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004829499433754864+0i, 'IIIIIXIIIXXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010344920233936945+0i, 'IIIIIXIIIXZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004033626832746919+0i, 'IIIIIXIIIYYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010344920233936945+0i, 'IIIIIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000005634143389817655+0i, 'IIIIIXIIIZIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.00000007812829627745813+0i, 'IIIIIXIIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004097051117877952+0i, 'IIIIIXIIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000014026196029089862+0i, 'IIIIIXIIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002169337505576471+0i, 'IIIIIXIIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000014398077355283076+0i, 'IIIIIXIIIZXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000011530426358281644+0i, 'IIIIIXIIIZZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000035764084553792075+0i, 'IIIIIXIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000027710446468664605+0i, 'IIIIIXIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006730297739958639+0i, 'IIIIIXIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000017858857857403533+0i, 'IIIIIXIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000014168683990934356+0i, 'IIIIIXIZIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002067835508433422+0i, 'IIIIIXIZIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000708598865312652+0i, 'IIIIIXZIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001576519939186647+0i, 'IIIIIXZIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000632759644065592+0i, 'IIIIIXZIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004097051117877952+0i, 'IIIIIXZIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008151136069873853+0i, 'IIIIIYIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003686346771541274+0i, 'IIIIIYIIIXXXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000008885015986546761+0i, 'IIIIIYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000014448745105110505+0i, 'IIIIIYIIIXYIIZIIIIIIIIIIIIIIIIIIIIIII': 0.00000016222443168374952+0i, 'IIIIIYIIIXYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.0000003507991232947341+0i, 'IIIIIYIIIXYYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000008885015986546761+0i, 'IIIIIYIIIXYZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000033364608768942936+0i, 'IIIIIYIIIXZXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000002573843094109958+0i, 'IIIIIYIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004033626832746919+0i, 'IIIIIYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000014448745105110505+0i, 'IIIIIYIIIYXIIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000016222443168374952+0i, 'IIIIIYIIIYXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000003507991232947341+0i, 'IIIIIYIIIYXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000033364608768942936+0i, 'IIIIIYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000023702939314246265+0i, 'IIIIIYIIIYZIIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000003507589357822036+0i, 'IIIIIYIIIYZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001576519939186647+0i, 'IIIIIYIIIYZIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003608549427980129+0i, 'IIIIIYIIIYZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000022925284553678497+0i, 'IIIIIYIIIYZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004829499433754864+0i, 'IIIIIYIIIZXXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'IIIIIYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000002693993647827759+0i, 'IIIIIYIIIZYIIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000003074183777810702+0i, 'IIIIIYIIIZYIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'IIIIIYIIIZYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007347201655634372+0i, 'IIIIIYIIIZYYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'IIIIIYIIIZYZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000681037446078476+0i, 'IIIIIYIIIZZXIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000002169337505576471+0i, 'IIIIIYIIXXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010091648988092029+0i, 'IIIIIYIIXYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000010091648988092029+0i, 'IIIIIYIIXYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000027710446468664605+0i, 'IIIIIYIIXZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000033006513049228165+0i, 'IIIIIYIIZXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007285063449655289+0i, 'IIIIIYIIZYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007285063449655289+0i, 'IIIIIYIIZYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000017858857857403533+0i, 'IIIIIYIIZZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009320333651911841+0i, 'IIIIIYIZIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000001912619259779544+0i, 'IIIIIYIZIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000001912619259779544+0i, 'IIIIIYIZIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002067835508433422+0i, 'IIIIIYIZIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000413542251708466+0i, 'IIIIIYZIIXYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000013710151688695009+0i, 'IIIIIYZIIYXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013710151688695009+0i, 'IIIIIYZIIYZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001576519939186647+0i, 'IIIIIYZIIYZIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000632759644065592+0i, 'IIIIIYZIIZYIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004045869417738505+0i, 'IIIIIYZIIZYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004081172345395382+0i, 'IIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1138342741333026+0i, 'IIIIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.3695921964533493+0i, 'IIIIIZIIIIXIIZIIIIIIIIIIIIIIIIIIIIIII': 0.041748033270122595+0i, 'IIIIIZIIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00019258277957225466+0i, 'IIIIIZIIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.09069468683278183+0i, 'IIIIIZIIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0010230001481488448+0i, 'IIIIIZIIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.08689038253453374+0i, 'IIIIIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.00000000000000011102230246251565i, 'IIIIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.8087614661390341+0i, 'IIIIIZIIIIZIIZIIIIIIIIIIIIIIIIIIIIIII': 0.14977690192751728+0i, 'IIIIIZIIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0010394978280810383+0i, 'IIIIIZIIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.21644617849239706+0i, 'IIIIIZIIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00430380478205216+0i, 'IIIIIZIIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.21115311137136497+0i, 'IIIIIZIIIXXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.008829584070185767+0i, 'IIIIIZIIIXZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.025116946394515387+0i, 'IIIIIZIIIYYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0009197248503949491+0i, 'IIIIIZIIIZXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.025710228344431634+0i, 'IIIIIZIIIZZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.11260352219579123+0i, 'IIIIIZIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.019038338034766407+0i, 'IIIIIZIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01710273040043527+0i, 'IIIIIZIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.009611394286546185+0i, 'IIIIIZIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14133466753116214+0i, 'IIIIIZIZIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.04767397029989949+0i, 'IIIIIZIZIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1558728664595792+0i, 'IIIIIZZIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00019258277957225466+0i, 'IIIIIZZIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.03962027835876848+0i, 'IIIIIZZIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0010394978280810383+0i, 'IIIIIZZIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.15143077861234577+0i, 'IIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.12789328975601538+0i, 'IIIIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.28158077115505264+0i, 'IIIIZIIIXIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.03935434664997739+0i, 'IIIIZIIIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0004440400296842834+0i, 'IIIIZIIIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.06750035453726223+0i, 'IIIIZIIIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004664385121536082+0i, 'IIIIZIIIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.07633055491601706+0i, 'IIIIZIIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.019038338034766407+0i, 'IIIIZIIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01883195682114601+0i, 'IIIIZIIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.015251288901414455+0i, 'IIIIZIIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024214302142386256+0i, 'IIIIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.00000000000000027755575615628914i, 'IIIIZIIIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.005699114922710205+0i, 'IIIIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 1.6537243288460575+0i, 'IIIIZIIIZIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.1869158982407541+0i, 'IIIIZIIIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0016619185006724766+0i, 'IIIIZIIIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.23672126719374745+0i, 'IIIIZIIIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.003950528800448666+0i, 'IIIIZIIIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.25130968020687516+0i, 'IIIIZIIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.034981465957937025+0i, 'IIIIZIIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.16072378814077942+0i, 'IIIIZIIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.02440793299041327+0i, 'IIIIZIIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.153255590126598+0i, 'IIIIZIIZXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024737509033955715+0i, 'IIIIZIIZZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.150710913268634+0i, 'IIIIZIZIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0052550748930259225+0i, 'IIIIZIZIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.02985187056319963+0i, 'IIIIZIZIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0016619185006724766+0i, 'IIIIZIZIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.1374330588794629+0i, 'IIIIZXIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000027710446468664605+0i, 'IIIIZXIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006730297739958639+0i, 'IIIIZXIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000024121078272479878+0i, 'IIIIZXIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004331890572045071+0i, 'IIIIZYIIXXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000010091648988092029+0i, 'IIIIZYIIXYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010091648988092029+0i, 'IIIIZYIIXYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000027710446468664605+0i, 'IIIIZYIIXZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000033006513049228165+0i, 'IIIIZYIIZXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000015495072801730244+0i, 'IIIIZYIIZYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000015495072801730244+0i, 'IIIIZYIIZYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000024121078272479878+0i, 'IIIIZYIIZZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000025857859202230357+0i, 'IIIIZZIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.019038338034766407+0i, 'IIIIZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01710273040043527+0i, 'IIIIZZIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.034981465957937025+0i, 'IIIIZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.15570145539773306+0i, 'IIIXIIIIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.0056398152645194535+0i, 'IIIXIIIIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': 0.0033451847586839474+0i, 'IIIXIIXXIIIIXXIIIIIIIIIIIIIIIIIIIIIII': -0.008126858431383244+0i, 'IIIXIIXXIIIIZXIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'IIIXIIXYIIIIYXIIIIIIIIIIIIIIIIIIIIIII': -0.008126858431383244+0i, 'IIIXIIYYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'IIIXIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.12510154235632362+0i, 'IIIXIIZIIIIXIZIIIIIIIIIIIIIIIIIIIIIII': 0.011057422434771452+0i, 'IIIXIIZIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.0056398152645194535+0i, 'IIIXIIZIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': 0.10435224811558719+0i, 'IIIXIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.0000000000000002636779683484747i, 'IIIXIIZIIIXXIIIIIIIIIIIIIIIIIIIIIIIII': -0.005348984651919431+0i, 'IIIXIIZIIIYYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0022519417697686554+0i, 'IIIXIIZIIIYZIIIIIIIIIIIIIIIIIIIIIIIII': -0.010754405245218531+0i, 'IIIXIIZIIIZXIIIIIIIIIIIIIIIIIIIIIIIII': 0.005526403189571275+0i, 'IIIXIIZIIXIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.005699114922710205+0i, 'IIIXIIZIIYIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0004440400296842833+0i, 'IIIXIIZIIYIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.02985187056319963+0i, 'IIIXIIZIIZIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.003540857988442715+0i, 'IIIXIIZIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.001645453200215271+0i, 'IIIXIIZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0017556821572203576+0i, 'IIIXIIZZIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0029305640033882086+0i, 'IIIXIXZIIXIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001159901719433355+0i, 'IIIXIXZIIZIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001640297548266427+0i, 'IIIXIYZIIXXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000775994529237496+0i, 'IIIXIYZIIXXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003672815794682171+0i, 'IIIXIYZIIXYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017171107540547482+0i, 'IIIXIYZIIXZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000004009018053822631+0i, 'IIIXIYZIIXZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009982206229658626+0i, 'IIIXIYZIIYXXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000024931052832922437+0i, 'IIIXIYZIIYZXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000011999918999715813+0i, 'IIIXIYZIIZXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000005669791421695029+0i, 'IIIXIYZIIZYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000030252015407492863+0i, 'IIIXIYZIIZZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000007970028045829575+0i, 'IIIXIYZIIZZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000011807104383991747+0i, 'IIIXIZZIIIXXIIIIIIIIIIIIIIIIIIIIIIIII': 0.007600926421688087+0i, 'IIIXIZZIIIZXIIIIIIIIIIIIIIIIIIIIIIIII': 0.006916381747073598+0i, 'IIIXZIZIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.001645453200215271+0i, 'IIIXZIZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0032825324569077186+0i, 'IIIYIIIIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.0056398152645194535+0i, 'IIIYIIIIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.0033451847586839474+0i, 'IIIYIIIIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.00470053558938752+0i, 'IIIYIIIIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.026007683665143604+0i, 'IIIYIIXXIIIIXYIIIIIIIIIIIIIIIIIIIIIII': -0.008126858431383244+0i, 'IIIYIIXXIIIIZYIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'IIIYIIXYIIIIYYIIIIIIIIIIIIIIIIIIIIIII': -0.008126858431383244+0i, 'IIIYIIYYIIIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'IIIYIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.027071153783879885+0i, 'IIIYIIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.12510154235632362+0i, 'IIIYIIZIIIIYIZIIIIIIIIIIIIIIIIIIIIIII': 0.011057422434771452+0i, 'IIIYIIZIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.0056398152645194535+0i, 'IIIYIIZIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.10435224811558719+0i, 'IIIYIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.12121080615047831+0i, 'IIIYIIZIIIIZIZIIIIIIIIIIIIIIIIIIIIIII': 0.005803462242885839+0i, 'IIIYIIZIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.00470053558938752+0i, 'IIIYIIZIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.03271096904839934+0i, 'IIIYIIZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.007600926421688087+0i, 'IIIYIIZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00006419934777012783+0i, 'IIIYIIZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.005526403189571275+0i, 'IIIYIIZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.0035018658056936588+0i, 'IIIYIIZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0052550748930259225+0i, 'IIIYIIZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.02985187056319963+0i, 'IIIYIIZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.003540857988442715+0i, 'IIIYIIZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.0008194456980115759+0i, 'IIIYIIZIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.001645453200215271+0i, 'IIIYIIZIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.005389940360181949+0i, 'IIIYIIZIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0017556821572203576+0i, 'IIIYIIZIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.014431843203402878+0i, 'IIIYIIZZIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0029305640033882086+0i, 'IIIYIIZZIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.017531573048408616+0i, 'IIIYIXZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000011999918999715813+0i, 'IIIYIXZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017366260443253713+0i, 'IIIYIXZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000004009018053822631+0i, 'IIIYIXZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000015605972678081312+0i, 'IIIYIXZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011807104383991747+0i, 'IIIYIYZIIXYYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000024931052832922437+0i, 'IIIYIYZIIXYZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000014267036996037242+0i, 'IIIYIYZIIYXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017171107540547482+0i, 'IIIYIYZIIYXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000035301454247217986+0i, 'IIIYIYZIIYYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000775994529237496+0i, 'IIIYIYZIIYZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001159901719433355+0i, 'IIIYIYZIIYZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007384054213595088+0i, 'IIIYIYZIIZYYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000030252015407492863+0i, 'IIIYIYZIIZYZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000005669791421695029+0i, 'IIIYIZZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.005348984651919431+0i, 'IIIYIZZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.010690205897448405+0i, 'IIIYIZZIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0022519417697686554+0i, 'IIIYIZZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.006916381747073598+0i, 'IIIYIZZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0006376199396606315+0i, 'IIIYZIZIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.001645453200215271+0i, 'IIIYZIZIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.005389940360181949+0i, 'IIIYZIZIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0032825324569077186+0i, 'IIIYZIZIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00046350433828580475+0i, 'IIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 1.6537243288460572+0i, 'IIIZIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.150710913268634+0i, 'IIIZIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.003950528800448666+0i, 'IIIZIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.25130968020687516+0i, 'IIIZIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0016619185006724766+0i, 'IIIZIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.23672126719374745+0i, 'IIIZIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024637767495922565+0i, 'IIIZIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.12488327537866341+0i, 'IIIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01901799263023132+0i, 'IIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1278932897560154+0i, 'IIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.03557775846404743+0i, 'IIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.153255590126598+0i, 'IIIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1869158982407541+0i, 'IIIZIIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.003950528800448666+0i, 'IIIZIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.16859960000636953+0i, 'IIIZIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000023141406748940377+0i, 'IIIZIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004331890572045071+0i, 'IIIZIYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000010327166927560803+0i, 'IIIZIYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010327166927560803+0i, 'IIIZIYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000023141406748940377+0i, 'IIIZIYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002095435672266327+0i, 'IIIZIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024637767495922565+0i, 'IIIZIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14011241477038927+0i, 'IIIZZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03557775846404743+0i, 'IIIZZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.18184667193832385+0i, 'IIXIIXIYIIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.007150996688037628+0i, 'IIXIIXIYIIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.007150996688037628+0i, 'IIXIIXIYIIZIIYIIIIIIIIIIIIIIIIIIIIIII': -0.005925937029776886+0i, 'IIXIIXYIIIXYXIIIIIIIIIIIIIIIIIIIIIIII': -0.0027413536231855333+0i, 'IIXIIXYIIIXYZIIIIIIIIIIIIIIIIIIIIIIII': 0.0008471127705963529+0i, 'IIXIIXYIIIXZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0008471127705963529+0i, 'IIXIIXYIIIXZZIIIIIIIIIIIIIIIIIIIIIIII': -0.011970655549977808+0i, 'IIXIIXYIIIYXXIIIIIIIIIIIIIIIIIIIIIIII': 0.0027413536231855333+0i, 'IIXIIXYIIIYXZIIIIIIIIIIIIIIIIIIIIIIII': -0.0008471127705963529+0i, 'IIXIIXYIIIZYXIIIIIIIIIIIIIIIIIIIIIIII': -0.003804304298248096+0i, 'IIXIIXYIIIZYZIIIIIIIIIIIIIIIIIIIIIIII': 0.0012155829277210994+0i, 'IIXIIXYIIIZZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0023884325601467803+0i, 'IIXIIXYIIIZZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00024874569931095396+0i, 'IIXIIYIYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.005925937029776886+0i, 'IIXIIYYIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.003804304298248096+0i, 'IIXIIYYIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.0012155829277210994+0i, 'IIXIIZIYIXIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000029037494294204896+0i, 'IIXIIZIYIYIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000029037494294204896+0i, 'IIXIIZIYIZIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.000000010612387392739576+0i, 'IIXIIZYIIXIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001715303560530475+0i, 'IIXIIZYIIXIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'IIXIIZYIIXIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026857132619785154+0i, 'IIXIIZYIIYIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001715303560530475+0i, 'IIXIIZYIIZIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000005368271948496131+0i, 'IIXIIZYIIZIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'IIXIIZYIIZIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000040811723453953825+0i, 'IIXXIXXIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004420592289100262+0i, 'IIXXIXXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.005169661159311189+0i, 'IIXXIXXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0034860696019765654+0i, 'IIXXIXXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'IIXXIZXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009821165340814609+0i, 'IIXXIZXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000033006513049228165+0i, 'IIXXIZXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000031898032780365845+0i, 'IIXYIXXIIIYIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004420592289100262+0i, 'IIXYIXXIIIYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.005169661159311189+0i, 'IIXYIYXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0034860696019765654+0i, 'IIXYIYXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'IIXYIZXIIYIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009821165340814609+0i, 'IIXYIZXIIYIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000033006513049228165+0i, 'IIYIIXIXIIXIIYIIIIIIIIIIIIIIIIIIIIIII': 0.007150996688037628+0i, 'IIYIIXIXIIYIIXIIIIIIIIIIIIIIIIIIIIIII': -0.007150996688037628+0i, 'IIYIIXIXIIZIIYIIIIIIIIIIIIIIIIIIIIIII': 0.005925937029776886+0i, 'IIYIIXXIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0008471127705963529+0i, 'IIYIIXXIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.011970655549977808+0i, 'IIYIIXXIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0008471127705963529+0i, 'IIYIIXXIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0012155829277210994+0i, 'IIYIIXXIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00024874569931095396+0i, 'IIYIIXYIIIXYYIIIIIIIIIIIIIIIIIIIIIIII': -0.0027413536231855333+0i, 'IIYIIXYIIIXZYIIIIIIIIIIIIIIIIIIIIIIII': 0.0008471127705963529+0i, 'IIYIIXYIIIYXYIIIIIIIIIIIIIIIIIIIIIIII': 0.0027413536231855333+0i, 'IIYIIXYIIIZYYIIIIIIIIIIIIIIIIIIIIIIII': -0.003804304298248096+0i, 'IIYIIXYIIIZZYIIIIIIIIIIIIIIIIIIIIIIII': 0.0023884325601467803+0i, 'IIYIIYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.005925937029776886+0i, 'IIYIIYXIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0012155829277210994+0i, 'IIYIIYYIIIIXYIIIIIIIIIIIIIIIIIIIIIIII': 0.003804304298248096+0i, 'IIYIIZIXIXIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.000000029037494294204896+0i, 'IIYIIZIXIYIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000029037494294204896+0i, 'IIYIIZIXIZIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000010612387392739576+0i, 'IIYIIZXIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026857132619785154+0i, 'IIYIIZXIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004045869417738505+0i, 'IIYIIZXIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000040811723453953825+0i, 'IIYIIZYIIXIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001715303560530475+0i, 'IIYIIZYIIXIZYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'IIYIIZYIIYIXYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001715303560530475+0i, 'IIYIIZYIIZIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000005368271948496131+0i, 'IIYXIXXIIIXIYIIIIIIIIIIIIIIIIIIIIIIII': -0.004420592289100262+0i, 'IIYXIXXIIIZIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0034860696019765654+0i, 'IIYXIXYIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.005169661159311189+0i, 'IIYXIXYIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'IIYXIZXIIXIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009821165340814609+0i, 'IIYXIZYIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000033006513049228165+0i, 'IIYXIZYIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000031898032780365845+0i, 'IIYYIXXIIIYIYIIIIIIIIIIIIIIIIIIIIIIII': -0.004420592289100262+0i, 'IIYYIXYIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.005169661159311189+0i, 'IIYYIYXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0034860696019765654+0i, 'IIYYIYYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'IIYYIZXIIYIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009821165340814609+0i, 'IIYYIZYIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000033006513049228165+0i, 'IIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 1.2032770698223643+0i, 'IIZIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.15670394815268146+0i, 'IIZIIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0024520742319046086+0i, 'IIZIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.19651043562860995+0i, 'IIZIIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0016049614613082557+0i, 'IIZIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.19925178925179549+0i, 'IIZIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0225365859117987+0i, 'IIZIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.15748379976743815+0i, 'IIZIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.010939886003671444+0i, 'IIZIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14251230266477907+0i, 'IIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.02874441791906964+0i, 'IIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.12476309978484465+0i, 'IIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1495529514646438+0i, 'IIZIIIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0024520742319046086+0i, 'IIZIIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.13699674532871325+0i, 'IIZIIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003985903840946113+0i, 'IIZIIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004230005267618371+0i, 'IIZIIYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009254037476549453+0i, 'IIZIIYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009254037476549453+0i, 'IIZIIYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003985903840946113+0i, 'IIZIIYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012944526688671274+0i, 'IIZIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0225365859117987+0i, 'IIZIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.15212425995457146+0i, 'IIZIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.02874441791906964+0i, 'IIZIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.12488327537866341+0i, 'IIZXIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0011058109004710127+0i, 'IIZYIIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0011058109004710127+0i, 'IIZYIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0016677953536175304+0i, 'IIZZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.16072378814077942+0i, 'IXIIXIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008372221309046716+0i, 'IXIIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000002370293931424626+0i, 'IXIIXIIIXIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000002067835508433422+0i, 'IXIIXIIIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000022925284553678497+0i, 'IXIIXIIIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004829499433754864+0i, 'IXIIXIIIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001576519939186647+0i, 'IXIIXIIIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003608549427980129+0i, 'IXIIXIIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011082274893034266+0i, 'IXIIXIIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003985903840946113+0i, 'IXIIXIIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007206114890338043+0i, 'IXIIXIIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000017858857857403533+0i, 'IXIIXIIIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000025738430941099575+0i, 'IXIIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000012585121054601024+0i, 'IXIIXIIIZIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.00000017385686000629275+0i, 'IXIIXIIIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000015605972678081312+0i, 'IXIIXIIIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000030541321995916434+0i, 'IXIIXIIIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000015605972678081312+0i, 'IXIIXIIIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000034447415218334567+0i, 'IXIIXIIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000001148275881106232+0i, 'IXIIXIIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006386924541554692+0i, 'IXIIXIIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007728518362924502+0i, 'IXIIXIIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011143265955913177+0i, 'IXIIXIIZXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003507589357822036+0i, 'IXIIXIIZZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011122056727197663+0i, 'IXIIXIZIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004866371549477808+0i, 'IXIIXIZIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004058748756887983+0i, 'IXIIXIZIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000007970028045829575+0i, 'IXIIXIZIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011807104383991747+0i, 'IXIIXXIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.028731145335370935+0i, 'IXIIXXIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.014553660689923637+0i, 'IXIIXXIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0024102072388789866+0i, 'IXIIXXIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00417227146923148+0i, 'IXIIXYIIXXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01609883405788545+0i, 'IXIIXYIIXYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01609883405788545+0i, 'IXIIXYIIXYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.028731145335370935+0i, 'IXIIXYIIXZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.012224502972950158+0i, 'IXIIXYIIZXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.008754323921027938+0i, 'IXIIXYIIZYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008754323921027938+0i, 'IXIIXYIIZYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0024102072388789866+0i, 'IXIIXYIIZZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'IXIIXZIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000011082274893034266+0i, 'IXIIXZIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000017307763482067758+0i, 'IXIIXZIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000001148275881106232+0i, 'IXIIXZIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006328824523493424+0i, 'IXIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000017928828757176555i, 'IXIIYIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001640297548266427+0i, 'IXIIYIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000023141406748940377+0i, 'IXIXXIZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000065698468974556556+0i, 'IXIYXIZIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000005991892318599132+0i, 'IXIYXIZIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000065698468974556556+0i, 'IXIZXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000024121078272479878+0i, 'IXIZXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000015802371676598853+0i, 'IXZIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004033626832746919+0i, 'IXZIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000012932091917714566+0i, 'IYIIXIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000002370293931424626+0i, 'IYIIXIIIYIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000002067835508433422+0i, 'IYIIXIIIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004866371549477808+0i, 'IYIIXIIIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004829499433754864+0i, 'IYIIXIIIYIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001576519939186647+0i, 'IYIIXIIIYIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003608549427980129+0i, 'IYIIXIIIYIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011082274893034266+0i, 'IYIIXIIIYIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003985903840946113+0i, 'IYIIXIIIYXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007206114890338043+0i, 'IYIIXIIIYZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000017858857857403533+0i, 'IYIIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.00000000000000017928828757176555i, 'IYIIXIIZYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003507589357822036+0i, 'IYIIXIZIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000025738430941099575+0i, 'IYIIXIZIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000022925284553678497+0i, 'IYIIXIZIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004058748756887983+0i, 'IYIIXIZIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001640297548266427+0i, 'IYIIXXIIYXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.028731145335370935+0i, 'IYIIXXIIYZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.014553660689923637+0i, 'IYIIXYIIYXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01609883405788545+0i, 'IYIIXYIIYYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01609883405788545+0i, 'IYIIXYIIYYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.028731145335370935+0i, 'IYIIXYIIYZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.012224502972950158+0i, 'IYIIXZIIYIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000011082274893034266+0i, 'IYIIXZIIYIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000017307763482067758+0i, 'IYIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000012585121054601024+0i, 'IYIIYIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.00000017385686000629275+0i, 'IYIIYIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000007970028045829575+0i, 'IYIIYIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000030541321995916434+0i, 'IYIIYIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000015605972678081312+0i, 'IYIIYIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000034447415218334567+0i, 'IYIIYIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000001148275881106232+0i, 'IYIIYIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006386924541554692+0i, 'IYIIYIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007728518362924502+0i, 'IYIIYIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011143265955913177+0i, 'IYIIYIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000023141406748940377+0i, 'IYIIYIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008372221309046716+0i, 'IYIIYIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011122056727197663+0i, 'IYIIYIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000015605972678081312+0i, 'IYIIYIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011807104383991747+0i, 'IYIIYXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0024102072388789866+0i, 'IYIIYXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00417227146923148+0i, 'IYIIYYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.008754323921027938+0i, 'IYIIYYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008754323921027938+0i, 'IYIIYYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0024102072388789866+0i, 'IYIIYYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'IYIIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000001148275881106232+0i, 'IYIIYZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006328824523493424+0i, 'IYIXYIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000065698468974556556+0i, 'IYIYXIZIYIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000005991892318599132+0i, 'IYIYYIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000065698468974556556+0i, 'IYIZXIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000024121078272479878+0i, 'IYIZYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000015802371676598853+0i, 'IYZIXIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004033626832746919+0i, 'IYZIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000012932091917714566+0i, 'IZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.8087614661390343+0i, 'IZIIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.1558728664595792+0i, 'IZIIIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00430380478205216+0i, 'IZIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.21115311137136497+0i, 'IZIIIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0010394978280810383+0i, 'IZIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.21644617849239706+0i, 'IZIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.023241028726596953+0i, 'IZIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.15212425995457146+0i, 'IZIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.010563285704591746+0i, 'IZIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14133466753116214+0i, 'IZIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01951293763931425+0i, 'IZIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.11260352219579123+0i, 'IZIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14977690192751728+0i, 'IZIIIIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00430380478205216+0i, 'IZIIIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.13409989194936212+0i, 'IZIIIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000017307763482067758+0i, 'IZIIIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009098782231234566+0i, 'IZIIIYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000021427195126971213+0i, 'IZIIIYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000021427195126971213+0i, 'IZIIIYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000017307763482067758+0i, 'IZIIIYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010002775785646489+0i, 'IZIIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.023241028726596953+0i, 'IZIIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.15438267614540724+0i, 'IZIIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01951293763931425+0i, 'IZIIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.14011241477038927+0i, 'IZIXIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0023314221635218476+0i, 'IZIYIIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0023314221635218476+0i, 'IZIYIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.0035346515295708483+0i, 'IZIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.15570145539773306+0i, 'IZZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1138342741333026+0i, 'XIIZXIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.004235961114459337+0i, 'XIIZXIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004235961114459337+0i, 'XIIZXIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.025116946394515387+0i, 'XIIZXIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.006916381747073598+0i, 'XIIZXIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.025116946394515387+0i, 'XIIZXIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0006376199396606315+0i, 'XIIZYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.006916381747073598+0i, 'XIIZYIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.0006376199396606315+0i, 'XXIIIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000036158860189078805+0i, 'XXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004331890572045071+0i, 'XXIXIIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.0000000626362927343161+0i, 'XXIXIIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000053662020597575315+0i, 'XXIXIIYIIIIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000039060932224181344+0i, 'XXIXIIYIIIIZYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001640297548266427+0i, 'XXIYIIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.0000000626362927343161+0i, 'XXIYIIYIIIIXYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000039060932224181344+0i, 'XXIZIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0000003072188755992133+0i, 'XXIZIIXIIIIIYZIIIIIIIIIIIIIIIIIIIIIII': -0.000000006327747523109497+0i, 'XXIZIIXIIIIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000371881326193215+0i, 'XXIZIIXIIIIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000024974529554956165+0i, 'XXIZIIXIIIXIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006758033844461568+0i, 'XXIZIIXIIIZIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000588758398825461+0i, 'XXIZIIXIIXIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000010898827842388664+0i, 'XXIZIIXIIZIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001505432923495098+0i, 'XXIZIIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001159901719433355+0i, 'XXIZIIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001505432923495098+0i, 'XXIZIIXZIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000022756168494170135+0i, 'XXIZIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000005634143389817655+0i, 'XXIZIIYIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.0000000708598865312652+0i, 'XXIZIIYIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002169337505576471+0i, 'XXIZIIYIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000014398077355283076+0i, 'XXIZIIYIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004097051117877952+0i, 'XXIZIIYIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000014026196029089862+0i, 'XXIZIIYIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009887471522063672+0i, 'XXIZIIYIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004230005267618371+0i, 'XXIZIIYIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000002268847683767937+0i, 'XXIZIIYIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000014168683990934356+0i, 'XXIZIIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000073840542135950865+0i, 'XXIZIIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006962569100596312+0i, 'XXIZIIYZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007812829627745813+0i, 'XXIZIIZXIIIXIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000016428420971060635+0i, 'XXIZIIZXIIIYIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000016428420971060635+0i, 'XXIZIIZXIIIZIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000007268409746192927+0i, 'XXIZIXXIIXIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.002993118809594667+0i, 'XXIZIXXIIZIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0032643069539711215+0i, 'XXIZIXYIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.014553660689923635+0i, 'XXIZIXYIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.017330886662983627+0i, 'XXIZIYXIIXYIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0009533430025949679+0i, 'XXIZIYXIIYXIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0009533430025949679+0i, 'XXIZIYXIIYZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.002993118809594667+0i, 'XXIZIYXIIZYIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0012155829277210994+0i, 'XXIZIYYIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.011304778122555207+0i, 'XXIZIYYIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.011304778122555207+0i, 'XXIZIYYIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.014553660689923635+0i, 'XXIZIYYIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00024874569931095396+0i, 'XXIZIZXIIIXIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006758033844461568+0i, 'XXIZIZXIIIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000019517876574944395+0i, 'XXIZIZYIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009887471522063672+0i, 'XXIZIZYIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009098782231234566+0i, 'XXIZZIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000004009018053822631+0i, 'XXIZZIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000011999918999715813+0i, 'XXIZZIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017366260443253713+0i, 'XXIZZIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000010185732916363537+0i, 'XXIZZIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009982206229658626+0i, 'XXIZZIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004331890572045071+0i, 'XXXXIXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006545167376159874+0i, 'XXXXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000001148275881106232+0i, 'XXXXIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.019038338034766407+0i, 'XXXYIXIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006545167376159874+0i, 'XXXYIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000001148275881106232+0i, 'XXXYIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.019038338034766407+0i, 'XXXYIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01920048641000208+0i, 'XXXZIXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006535968122391638+0i, 'XXXZIXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006758033844461568+0i, 'XXXZIXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009887471522063672+0i, 'XXXZIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006758033844461568+0i, 'XXXZIZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.001723890321633336+0i, 'XXXZIZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.020134362192740975+0i, 'XXXZIZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.001723890321633336+0i, 'XXXZIZZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00019258277957225466+0i, 'XXXZIZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.03962027835876848+0i, 'XXZZIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000588758398825461+0i, 'XXZZIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000035764084553792075+0i, 'XYIIIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000036158860189078805+0i, 'XYIIIIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004331890572045071+0i, 'XYIXIIIYIIIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.0000000626362927343161+0i, 'XYIXIIYIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000039060932224181344+0i, 'XYIXIIYIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001640297548266427+0i, 'XYIXIIYIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000053662020597575315+0i, 'XYIYIIIYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.0000000626362927343161+0i, 'XYIYIIYIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000039060932224181344+0i, 'XYIZIIXIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000014398077355283076+0i, 'XYIZIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0000003072188755992133+0i, 'XYIZIIXIIIIIXZIIIIIIIIIIIIIIIIIIIIIII': 0.000000006327747523109497+0i, 'XYIZIIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000005634143389817655+0i, 'XYIZIIXIIIIIZZIIIIIIIIIIIIIIIIIIIIIII': -0.0000000708598865312652+0i, 'XYIZIIXIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000371881326193215+0i, 'XYIZIIXIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004097051117877952+0i, 'XYIZIIXIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000024974529554956165+0i, 'XYIZIIXIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000014026196029089862+0i, 'XYIZIIXIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006758033844461568+0i, 'XYIZIIXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009887471522063672+0i, 'XYIZIIXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000588758398825461+0i, 'XYIZIIXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004230005267618371+0i, 'XYIZIIXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000010898827842388664+0i, 'XYIZIIXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002268847683767937+0i, 'XYIZIIXIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001505432923495098+0i, 'XYIZIIXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000014168683990934356+0i, 'XYIZIIXIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000004009018053822631+0i, 'XYIZIIXIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009982206229658626+0i, 'XYIZIIXIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000011999918999715813+0i, 'XYIZIIXIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001505432923495098+0i, 'XYIZIIXIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006962569100596312+0i, 'XYIZIIXZIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000022756168494170135+0i, 'XYIZIIXZIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007812829627745813+0i, 'XYIZIIYIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002169337505576471+0i, 'XYIZIIYIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017366260443253713+0i, 'XYIZIIZYIIIXIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000016428420971060635+0i, 'XYIZIIZYIIIYIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000016428420971060635+0i, 'XYIZIIZYIIIZIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000007268409746192927+0i, 'XYIZIXXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.002993118809594667+0i, 'XYIZIXXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.014553660689923635+0i, 'XYIZIXXIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0032643069539711215+0i, 'XYIZIXXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.017330886662983627+0i, 'XYIZIYXIIXYIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0009533430025949679+0i, 'XYIZIYXIIXYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.011304778122555207+0i, 'XYIZIYXIIYXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0009533430025949679+0i, 'XYIZIYXIIYXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.011304778122555207+0i, 'XYIZIYXIIYZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.002993118809594667+0i, 'XYIZIYXIIYZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.014553660689923635+0i, 'XYIZIYXIIZYIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0012155829277210994+0i, 'XYIZIYXIIZYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00024874569931095396+0i, 'XYIZIZXIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006758033844461568+0i, 'XYIZIZXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009887471522063672+0i, 'XYIZIZXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000019517876574944395+0i, 'XYIZIZXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009098782231234566+0i, 'XYIZZIXIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001159901719433355+0i, 'XYIZZIXIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000073840542135950865+0i, 'XYIZZIXIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000010185732916363537+0i, 'XYIZZIXIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004331890572045071+0i, 'XYYXIXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006545167376159874+0i, 'XYYXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000001148275881106232+0i, 'XYYXIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.019038338034766407+0i, 'XYYYIXIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006545167376159874+0i, 'XYYYIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000001148275881106232+0i, 'XYYYIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.019038338034766407+0i, 'XYYYIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01920048641000208+0i, 'XYYZIXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006535968122391638+0i, 'XYYZIXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006758033844461568+0i, 'XYYZIXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009887471522063672+0i, 'XYYZIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006758033844461568+0i, 'XYYZIZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.001723890321633336+0i, 'XYYZIZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.020134362192740975+0i, 'XYYZIZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.001723890321633336+0i, 'XYYZIZZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00019258277957225466+0i, 'XYYZIZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.03962027835876848+0i, 'XYZZIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000588758398825461+0i, 'XYZZIIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000035764084553792075+0i, 'XZIIXIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.00020318282248258038+0i, 'XZIIXIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00020318282248258038+0i, 'XZIIXIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.02440793299041327+0i, 'XZIIXIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0032825324569077186+0i, 'XZIIXIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.02440793299041327+0i, 'XZIIXIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00046350433828580475+0i, 'XZIIYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0032825324569077186+0i, 'XZIIYIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00046350433828580475+0i, 'XZIXXIIXXIIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.014616837616021673+0i, 'XZIXXIIXZIIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.03620498497212011+0i, 'XZIXXIIYYIIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.014616837616021673+0i, 'XZIXXIXIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0005906897714898403+0i, 'XZIXXIXIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.008369953204006035+0i, 'XZIXXIXIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0022886102997761895+0i, 'XZIXXIXIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.03116654112690665+0i, 'XZIXXIYIXIIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.008830200378754833+0i, 'XZIXXIYIXIIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.005108425151220365+0i, 'XZIXXIYIYIIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.008830200378754833+0i, 'XZIXXIYIYIIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.0005906897714898403+0i, 'XZIXXIYIYIIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.005108425151220365+0i, 'XZIXXIYIYIIZZIIIIIIIIIIIIIIIIIIIIIIII': -0.008369953204006035+0i, 'XZIXXIYIZIIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.014588413013127716+0i, 'XZIXXIYIZIIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.0022886102997761895+0i, 'XZIXYIIYIIIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.03620498497212011+0i, 'XZIXYIYIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.014588413013127716+0i, 'XZIXYIYIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.0022886102997761895+0i, 'XZIXYIYIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0022886102997761895+0i, 'XZIXYIYIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.03116654112690665+0i, 'XZIYXIIXXIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.014616837616021673+0i, 'XZIYXIIXZIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.03620498497212011+0i, 'XZIYXIIYYIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.014616837616021673+0i, 'XZIYXIXIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0005906897714898403+0i, 'XZIYXIXIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0022886102997761895+0i, 'XZIYXIYIXIIXYIIIIIIIIIIIIIIIIIIIIIIII': 0.008830200378754833+0i, 'XZIYXIYIYIIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.008830200378754833+0i, 'XZIYXIYIYIIXZIIIIIIIIIIIIIIIIIIIIIIII': 0.0005906897714898403+0i, 'XZIYXIYIZIIXYIIIIIIIIIIIIIIIIIIIIIIII': 0.014588413013127716+0i, 'XZIYYIIYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.03620498497212011+0i, 'XZIYYIYIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.014588413013127716+0i, 'XZIYYIYIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.0022886102997761895+0i, 'XZIZXIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.003540857988442715+0i, 'XZIZXIXIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000016653345369377348i, 'XZIZXIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.07170028934810821+0i, 'XZIZXIXIXIIIYZIIIIIIIIIIIIIIIIIIIIIII': 0.0015342142323995914+0i, 'XZIZXIXIXIIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.00007567921249935078+0i, 'XZIZXIXIXIIZYIIIIIIIIIIIIIIIIIIIIIIII': 0.058639553406999015+0i, 'XZIZXIXIXIXIYIIIIIIIIIIIIIIIIIIIIIIII': -0.001723890321633336+0i, 'XZIZXIXIXIZIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00006671308503174798+0i, 'XZIZXIXIXXIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0001247385335499872+0i, 'XZIZXIXIXZIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0021316548314588226+0i, 'XZIZXIXIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.05602378747674352+0i, 'XZIZXIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.07170028934810821+0i, 'XZIZXIXIYIIIXZIIIIIIIIIIIIIIIIIIIIIII': -0.0015342142323995914+0i, 'XZIZXIXIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000016653345369377348i, 'XZIZXIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.22821960331691157+0i, 'XZIZXIXIYIIIZZIIIIIIIIIIIIIIIIIIIIIII': 0.02978246200549448+0i, 'XZIZXIXIYIIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.00007567921249935078+0i, 'XZIZXIXIYIIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.0005352864175997575+0i, 'XZIZXIXIYIIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.058639553406999015+0i, 'XZIZXIXIYIIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.05594810826424417+0i, 'XZIZXIXIYIXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.001723890321633336+0i, 'XZIZXIXIYIXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.020134362192740975+0i, 'XZIZXIXIYIZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00006671308503174798+0i, 'XZIZXIXIYIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.010939886003671444+0i, 'XZIZXIXIYXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0001247385335499872+0i, 'XZIZXIXIYXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.017779208140147496+0i, 'XZIZXIXIYZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0021316548314588226+0i, 'XZIZXIXIYZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.011300857017540786+0i, 'XZIZXIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.1251015423563236+0i, 'XZIZXIXIZIIIYZIIIIIIIIIIIIIIIIIIIIIII': 0.0029305640033882086+0i, 'XZIZXIXIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0+0.0000000000000002636779683484747i, 'XZIZXIXIZIIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.0056398152645194535+0i, 'XZIZXIXIZIIZYIIIIIIIIIIIIIIIIIIIIIIII': 0.10435224811558719+0i, 'XZIZXIXIZIXIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0018629150499428657+0i, 'XZIZXIXIZIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0011058109004710127+0i, 'XZIZXIXIZXIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0005906897714898403+0i, 'XZIZXIXIZZIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0017556821572203576+0i, 'XZIZXIXZXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.00541436689900591+0i, 'XZIZXIXZYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00541436689900591+0i, 'XZIZXIXZYIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.030072497489920507+0i, 'XZIZXIXZZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.011057422434771452+0i, 'XZIZXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0008194456980115759+0i, 'XZIZXIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.22821960331691157+0i, 'XZIZXIYIXIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.02978246200549448+0i, 'XZIZXIYIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.005292538036894558+0i, 'XZIZXIYIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.05602378747674352+0i, 'XZIZXIYIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0005352864175997575+0i, 'XZIZXIYIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.05594810826424417+0i, 'XZIZXIYIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.020134362192740975+0i, 'XZIZXIYIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.010939886003671444+0i, 'XZIZXIYIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.017779208140147496+0i, 'XZIZXIYIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.011300857017540786+0i, 'XZIZXIYIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.005292538036894558+0i, 'XZIZXIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.1212108061504783+0i, 'XZIZXIYIZIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.017531573048408612+0i, 'XZIZXIYIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.008045720348071468+0i, 'XZIZXIYIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.027071153783879885+0i, 'XZIZXIYIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.004700535589387521+0i, 'XZIZXIYIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.03271096904839934+0i, 'XZIZXIYIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01920048641000208+0i, 'XZIZXIYIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0016677953536175304+0i, 'XZIZXIYIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.008369953204006035+0i, 'XZIZXIYIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.014431843203402878+0i, 'XZIZXIYZXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.030072497489920507+0i, 'XZIZXIYZZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.005803462242885839+0i, 'XZIZXIZXXIIXIYIIIIIIIIIIIIIIIIIIIIIII': 0.0038801526666063187+0i, 'XZIZXIZXXIIYIXIIIIIIIIIIIIIIIIIIIIIII': -0.0038801526666063187+0i, 'XZIZXIZXXIIZIXIIIIIIIIIIIIIIIIIIIIIII': 0.0002900354844260307+0i, 'XZIZXIZXZIIXIYIIIIIIIIIIIIIIIIIIIIIII': 0.008126858431383244+0i, 'XZIZXIZXZIIYIXIIIIIIIIIIIIIIIIIIIIIII': -0.008126858431383244+0i, 'XZIZXIZXZIIZIXIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'XZIZXIZYYIIXIYIIIIIIIIIIIIIIIIIIIIIII': 0.0038801526666063187+0i, 'XZIZXIZYYIIYIXIIIIIIIIIIIIIIIIIIIIIII': -0.0038801526666063187+0i, 'XZIZXIZYYIIZIXIIIIIIIIIIIIIIIIIIIIIII': 0.0002900354844260307+0i, 'XZIZXXXIXZIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000013472670936498622+0i, 'XZIZXXXIYXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007206114890338044+0i, 'XZIZXXXIYZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000013472670936498622+0i, 'XZIZXXXIYZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002268847683767937+0i, 'XZIZXXYIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007206114890338044+0i, 'XZIZXXYIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000002268847683767937+0i, 'XZIZXXYIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000005991892318599132+0i, 'XZIZXXYIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000053662020597575315+0i, 'XZIZXYXIYXYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000013006680423453114+0i, 'XZIZXYXIYYXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013006680423453114+0i, 'XZIZXYXIYYZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007206114890338044+0i, 'XZIZXYXIYZYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026857132619785154+0i, 'XZIZXYXIZXYIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007349942199732871+0i, 'XZIZXYXIZYXIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007349942199732871+0i, 'XZIZXYXIZZYIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000030252015407492863+0i, 'XZIZXYYIXXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013006680423453114+0i, 'XZIZXYYIXYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000013006680423453114+0i, 'XZIZXYYIXYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007206114890338044+0i, 'XZIZXYYIXZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026857132619785154+0i, 'XZIZXYYIZXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006830796729644614+0i, 'XZIZXYYIZYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006830796729644614+0i, 'XZIZXYYIZYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000005991892318599132+0i, 'XZIZXYYIZZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000031898032780365845+0i, 'XZIZXZXIXIXIYIIIIIIIIIIIIIIIIIIIIIIII': 0.001723890321633336+0i, 'XZIZXZXIXIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0012428423048646698+0i, 'XZIZXZXIYIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.001723890321633336+0i, 'XZIZXZXIYIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.020134362192740975+0i, 'XZIZXZXIYIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0012428423048646698+0i, 'XZIZXZXIYIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.010563285704591746+0i, 'XZIZXZXIZIXIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0018629150499428657+0i, 'XZIZXZXIZIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0023314221635218476+0i, 'XZIZXZYIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.020134362192740975+0i, 'XZIZXZYIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.010563285704591746+0i, 'XZIZXZYIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01920048641000208+0i, 'XZIZXZYIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0035346515295708483+0i, 'XZIZYIXIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.027071153783879885+0i, 'XZIZYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.1251015423563236+0i, 'XZIZYIXIIIIIXZIIIIIIIIIIIIIIIIIIIIIII': -0.0029305640033882086+0i, 'XZIZYIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.1212108061504783+0i, 'XZIZYIXIIIIIZZIIIIIIIIIIIIIIIIIIIIIII': -0.017531573048408612+0i, 'XZIZYIXIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.0056398152645194535+0i, 'XZIZYIXIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.004700535589387521+0i, 'XZIZYIXIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.10435224811558719+0i, 'XZIZYIXIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': -0.03271096904839934+0i, 'XZIZYIXIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0018629150499428657+0i, 'XZIZYIXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.01920048641000208+0i, 'XZIZYIXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0011058109004710127+0i, 'XZIZYIXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.0016677953536175304+0i, 'XZIZYIXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0005906897714898403+0i, 'XZIZYIXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.008369953204006035+0i, 'XZIZYIXIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0017556821572203576+0i, 'XZIZYIXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.014431843203402878+0i, 'XZIZYIXIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0014422703777326902+0i, 'XZIZYIXIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.01901799263023132+0i, 'XZIZYIXIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0014422703777326902+0i, 'XZIZYIXIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.003540857988442715+0i, 'XZIZYIXIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0008194456980115759+0i, 'XZIZYIXZIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.011057422434771452+0i, 'XZIZYIXZIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.005803462242885839+0i, 'XZIZYIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.0000000000000002636779683484747i, 'XZIZYIYIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.008045720348071468+0i, 'XZIZYIYIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01901799263023132+0i, 'XZIZYIZYIIIXIYIIIIIIIIIIIIIIIIIIIIIII': 0.008126858431383244+0i, 'XZIZYIZYIIIYIXIIIIIIIIIIIIIIIIIIIIIII': -0.008126858431383244+0i, 'XZIZYIZYIIIZIXIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'XZIZYXXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000005991892318599132+0i, 'XZIZYXXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000053662020597575315+0i, 'XZIZYYXIIXYIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007349942199732871+0i, 'XZIZYYXIIXYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006830796729644614+0i, 'XZIZYYXIIYXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007349942199732871+0i, 'XZIZYYXIIYXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006830796729644614+0i, 'XZIZYYXIIYZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000005991892318599132+0i, 'XZIZYYXIIZYIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'XZIZYYXIIZYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000031898032780365845+0i, 'XZIZYZXIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0018629150499428657+0i, 'XZIZYZXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.01920048641000208+0i, 'XZIZYZXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0023314221635218476+0i, 'XZIZYZXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0035346515295708483+0i, 'XZXXXXIIXIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.009912461097923628+0i, 'XZXXXXIIZIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03584051276211602+0i, 'XZXXXYIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008754323921027938+0i, 'XZXXXYIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01034369846201446+0i, 'XZXXXZIIXYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000010091648988092029+0i, 'XZXXXZIIZYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000051679058741694396+0i, 'XZXYXXIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.009912461097923628+0i, 'XZXYXXIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.008754323921027938+0i, 'XZXYXXIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.03584051276211602+0i, 'XZXYXXIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01034369846201446+0i, 'XZXYXZIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010091648988092029+0i, 'XZXYXZIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006830796729644614+0i, 'XZXYXZIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000051679058741694396+0i, 'XZXYXZIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004903502479567088+0i, 'XZXZXXZIXIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0007820302480193845+0i, 'XZXZXXZIXIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00732667793655905+0i, 'XZXZXXZIXIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0007820302480193845+0i, 'XZXZXXZIXIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0009533430025949679+0i, 'XZXZXXZIXIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.011304778122555207+0i, 'XZXZXXZIZIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004420592289100262+0i, 'XZXZXXZIZIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00516966115931119+0i, 'XZXZXXZIZIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.004420592289100262+0i, 'XZXZXXZIZIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.005738011371745221+0i, 'XZXZXXZIZIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.01926468575777221+0i, 'XZXZXYZIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0009533430025949679+0i, 'XZXZXYZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.005738011371745221+0i, 'XZXZXZZIXXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013006680423453114+0i, 'XZXZXZZIXZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013710151688695009+0i, 'XZXZXZZIZXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017581110633189572+0i, 'XZXZXZZIZXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006973467099604988+0i, 'XZXZXZZIZYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017581110633189572+0i, 'XZXZXZZIZZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026228241358670817+0i, 'XZYXXXIIYIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.009912461097923628+0i, 'XZYXXYIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008754323921027938+0i, 'XZYXXZIIYYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000010091648988092029+0i, 'XZYXYXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03584051276211602+0i, 'XZYXYYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01034369846201446+0i, 'XZYXYZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000051679058741694396+0i, 'XZYYXXIIYIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.009912461097923628+0i, 'XZYYXXIIYIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.008754323921027938+0i, 'XZYYXZIIYXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010091648988092029+0i, 'XZYYXZIIYZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006830796729644614+0i, 'XZYYYXIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.03584051276211602+0i, 'XZYYYXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01034369846201446+0i, 'XZYYYZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000051679058741694396+0i, 'XZYYYZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004903502479567088+0i, 'XZYZXXZIYIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0007820302480193845+0i, 'XZYZXXZIYIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00732667793655905+0i, 'XZYZXXZIYIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0007820302480193845+0i, 'XZYZXXZIYIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0009533430025949679+0i, 'XZYZXXZIYIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.011304778122555207+0i, 'XZYZXYZIYIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0009533430025949679+0i, 'XZYZXZZIYXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013006680423453114+0i, 'XZYZXZZIYZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013710151688695009+0i, 'XZYZYXZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004420592289100262+0i, 'XZYZYXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00516966115931119+0i, 'XZYZYXZIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.004420592289100262+0i, 'XZYZYXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.005738011371745221+0i, 'XZYZYXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.01926468575777221+0i, 'XZYZYYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.005738011371745221+0i, 'XZYZYZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017581110633189572+0i, 'XZYZYZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006973467099604988+0i, 'XZYZYZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017581110633189572+0i, 'XZYZYZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026228241358670817+0i, 'XZZZXIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0007153171629876366+0i, 'XZZZXIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0007153171629876366+0i, 'XZZZXIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.018266563940230497+0i, 'XZZZXIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0055264031895712745+0i, 'XZZZXIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.018266563940230497+0i, 'XZZZXIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0035018658056936588+0i, 'XZZZYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0055264031895712745+0i, 'XZZZYIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0035018658056936588+0i, 'YIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010344920233936945+0i, 'YIXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007712233168235471+0i, 'YIYIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000010344920233936945+0i, 'YIYIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007712233168235471+0i, 'YXXIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000011102230246251565i, 'YXXIIIZIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0011728496324256812+0i, 'YXXIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.015632475168107188+0i, 'YXYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.3695921964533493+0i, 'YXYIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.04767397029989949+0i, 'YXYIIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0010230001481488448+0i, 'YXYIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.08689038253453374+0i, 'YXYIIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00019258277957225466+0i, 'YXYIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.09069468683278183+0i, 'YXYIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.03828998582126885+0i, 'YXYIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0225365859117987+0i, 'YXYIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.020134362192740975+0i, 'YXYIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.009611394286546185+0i, 'YXYIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0053484610543687175+0i, 'YXYIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.025710228344431634+0i, 'YXYIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.041748033270122595+0i, 'YXYIIIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0021958497805745257+0i, 'YXYIIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.03937153265945753+0i, 'YXYIIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000011082274893034266+0i, 'YXYIIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009887471522063672+0i, 'YXYIIYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008019530673693032+0i, 'YXYIIYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008019530673693032+0i, 'YXYIIYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000011082274893034266+0i, 'YXYIIYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006535968122391638+0i, 'YXYIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03828998582126885+0i, 'YXYIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.023241028726596953+0i, 'YXYIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01028401411373847+0i, 'YXYIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024637767495922565+0i, 'YXYXIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0018629150499428657+0i, 'YXYYIIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0018629150499428657+0i, 'YXYYIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.01920048641000208+0i, 'YXYZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.034981465957937025+0i, 'YXZIIXIXIIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.005925937029776886+0i, 'YXZIIXIXIIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.005925937029776886+0i, 'YXZIIXIXIIZIIYIIIIIIIIIIIIIIIIIIIIIII': -0.006095964532061923+0i, 'YXZIIXXIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0023884325601467803+0i, 'YXZIIXXIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00024874569931095396+0i, 'YXZIIXXIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0023884325601467803+0i, 'YXZIIXXIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0032643069539711215+0i, 'YXZIIXXIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.017330886662983627+0i, 'YXZIIXYIIIXYYIIIIIIIIIIIIIIIIIIIIIIII': 0.003804304298248097+0i, 'YXZIIXYIIIXZYIIIIIIIIIIIIIIIIIIIIIIII': -0.0012155829277210994+0i, 'YXZIIXYIIIYXYIIIIIIIIIIIIIIIIIIIIIIII': -0.003804304298248097+0i, 'YXZIIXYIIIZYYIIIIIIIIIIIIIIIIIIIIIIII': 0.005293067121032079+0i, 'YXZIIXYIIIZZYIIIIIIIIIIIIIIIIIIIIIIII': -0.0032643069539711215+0i, 'YXZIIYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.006095964532061923+0i, 'YXZIIYXIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0032643069539711215+0i, 'YXZIIYYIIIIXYIIIIIIIIIIIIIIIIIIIIIIII': -0.005293067121032079+0i, 'YXZIIZIXIXIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.000000014397538493886142+0i, 'YXZIIZIXIYIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000014397538493886142+0i, 'YXZIIZIXIZIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000007268409746192927+0i, 'YXZIIZXIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000013472670936498622+0i, 'YXZIIZXIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002268847683767937+0i, 'YXZIIZXIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000013472670936498622+0i, 'YXZIIZXIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004097051117877952+0i, 'YXZIIZXIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008151136069873853+0i, 'YXZIIZYIIXIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012209500057747357+0i, 'YXZIIZYIIXIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000010898827842388664+0i, 'YXZIIZYIIYIXYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012209500057747357+0i, 'YXZIIZYIIZIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000371881326193215+0i, 'YXZIIZYIIZIZYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017596323937886755+0i, 'YXZXIXXIIIXIYIIIIIIIIIIIIIIIIIIIIIIII': 0.005738011371745221+0i, 'YXZXIXXIIIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.004584959583551752+0i, 'YXZXIXYIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01926468575777221+0i, 'YXZXIXYIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00417227146923148+0i, 'YXZXIZXIIXIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001159901719433355+0i, 'YXZXIZXIIZIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001640297548266427+0i, 'YXZXIZYIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006730297739958639+0i, 'YXZXIZYIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000053662020597575315+0i, 'YXZYIXXIIIYIYIIIIIIIIIIIIIIIIIIIIIIII': 0.005738011371745221+0i, 'YXZYIXYIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01926468575777221+0i, 'YXZYIYXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.004584959583551752+0i, 'YXZYIYYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00417227146923148+0i, 'YXZYIZXIIYIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001159901719433355+0i, 'YXZYIZYIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006730297739958639+0i, 'YYXIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.3695921964533493+0i, 'YYXIIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.04767397029989949+0i, 'YYXIIIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0021958497805745257+0i, 'YYXIIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.08689038253453374+0i, 'YYXIIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00019258277957225466+0i, 'YYXIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.09069468683278183+0i, 'YYXIIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03828998582126885+0i, 'YYXIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0225365859117987+0i, 'YYXIIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.020134362192740975+0i, 'YYXIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.009611394286546185+0i, 'YYXIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01028401411373847+0i, 'YYXIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.025710228344431634+0i, 'YYXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.041748033270122595+0i, 'YYXIIIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0010230001481488448+0i, 'YYXIIIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.03937153265945753+0i, 'YYXIIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011082274893034266+0i, 'YYXIIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009887471522063672+0i, 'YYXIIYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008019530673693032+0i, 'YYXIIYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008019530673693032+0i, 'YYXIIYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011082274893034266+0i, 'YYXIIYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006535968122391638+0i, 'YYXIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.03828998582126885+0i, 'YYXIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.023241028726596953+0i, 'YYXIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0053484610543687175+0i, 'YYXIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024637767495922565+0i, 'YYXXIIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0018629150499428657+0i, 'YYXYIIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0018629150499428657+0i, 'YYXYIIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.01920048641000208+0i, 'YYXZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.034981465957937025+0i, 'YYYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000011102230246251565i, 'YYYIIIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0011728496324256812+0i, 'YYYIIIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.015632475168107188+0i, 'YYZIIXIYIIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.005925937029776886+0i, 'YYZIIXIYIIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.005925937029776886+0i, 'YYZIIXIYIIZIIYIIIIIIIIIIIIIIIIIIIIIII': -0.006095964532061923+0i, 'YYZIIXYIIIXYXIIIIIIIIIIIIIIIIIIIIIIII': -0.003804304298248097+0i, 'YYZIIXYIIIXYZIIIIIIIIIIIIIIIIIIIIIIII': 0.0023884325601467803+0i, 'YYZIIXYIIIXZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0012155829277210994+0i, 'YYZIIXYIIIXZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00024874569931095396+0i, 'YYZIIXYIIIYXXIIIIIIIIIIIIIIIIIIIIIIII': 0.003804304298248097+0i, 'YYZIIXYIIIYXZIIIIIIIIIIIIIIIIIIIIIIII': -0.0023884325601467803+0i, 'YYZIIXYIIIZYXIIIIIIIIIIIIIIIIIIIIIIII': -0.005293067121032079+0i, 'YYZIIXYIIIZYZIIIIIIIIIIIIIIIIIIIIIIII': 0.0032643069539711215+0i, 'YYZIIXYIIIZZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0032643069539711215+0i, 'YYZIIXYIIIZZZIIIIIIIIIIIIIIIIIIIIIIII': -0.017330886662983627+0i, 'YYZIIYIYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.006095964532061923+0i, 'YYZIIYYIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.005293067121032079+0i, 'YYZIIYYIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.0032643069539711215+0i, 'YYZIIZIYIXIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.000000014397538493886142+0i, 'YYZIIZIYIYIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000014397538493886142+0i, 'YYZIIZIYIZIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000007268409746192927+0i, 'YYZIIZYIIXIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012209500057747357+0i, 'YYZIIZYIIXIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000013472670936498622+0i, 'YYZIIZYIIXIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000010898827842388664+0i, 'YYZIIZYIIXIZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002268847683767937+0i, 'YYZIIZYIIYIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012209500057747357+0i, 'YYZIIZYIIYIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000013472670936498622+0i, 'YYZIIZYIIZIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000371881326193215+0i, 'YYZIIZYIIZIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004097051117877952+0i, 'YYZIIZYIIZIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017596323937886755+0i, 'YYZIIZYIIZIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008151136069873853+0i, 'YYZXIXXIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.005738011371745221+0i, 'YYZXIXXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.01926468575777221+0i, 'YYZXIXXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004584959583551752+0i, 'YYZXIXXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00417227146923148+0i, 'YYZXIZXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001159901719433355+0i, 'YYZXIZXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006730297739958639+0i, 'YYZXIZXIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001640297548266427+0i, 'YYZXIZXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000053662020597575315+0i, 'YYZYIXXIIIYIXIIIIIIIIIIIIIIIIIIIIIIII': -0.005738011371745221+0i, 'YYZYIXXIIIYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.01926468575777221+0i, 'YYZYIYXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004584959583551752+0i, 'YYZYIYXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00417227146923148+0i, 'YYZYIZXIIYIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001159901719433355+0i, 'YYZYIZXIIYIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006730297739958639+0i, 'YZXIXIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000014448745105110505+0i, 'YZXIXIIIYIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.0000001912619259779544+0i, 'YZXIXIIIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'YZXIXIIIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000003336460876894293+0i, 'YZXIXIIIYIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000003507991232947341+0i, 'YZXIXIIIYIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008019530673693032+0i, 'YZXIXIIIYIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009254037476549453+0i, 'YZXIXIIIYXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000013006680423453114+0i, 'YZXIXIIIYZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007285063449655289+0i, 'YZXIXIIZYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000016222443168374952+0i, 'YZXIXIZIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000008885015986546761+0i, 'YZXIXIZIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000016395864950673523+0i, 'YZXIXIZIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000030252015407492863+0i, 'YZXIXXIIYXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01609883405788545+0i, 'YZXIXXIIYZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.011304778122555207+0i, 'YZXIXYIIYXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01774920287993442+0i, 'YZXIXYIIYYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01774920287993442+0i, 'YZXIXYIIYYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01609883405788545+0i, 'YZXIXYIIYZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00732667793655905+0i, 'YZXIXZIIYIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008019530673693032+0i, 'YZXIXZIIYIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000021427195126971213+0i, 'YZXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008533051967376143+0i, 'YZXIYIIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.000000012670494333708411+0i, 'YZXIYIIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000018312215462359245+0i, 'YZXIYIIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026158463855350305+0i, 'YZXIYIIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006545167376159874+0i, 'YZXIYIIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017204352194986832+0i, 'YZXIYIIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006973467099604988+0i, 'YZXIYIIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000016973594685476829+0i, 'YZXIYIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010327166927560803+0i, 'YZXIYIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006881945697384801+0i, 'YZXIYIIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004814686642482088+0i, 'YZXIYIZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'YZXIYIZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000005669791421695029+0i, 'YZXIYXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024386799089135124+0i, 'YZXIYXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01926468575777221+0i, 'YZXIYYIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.009912461097923628+0i, 'YZXIYYIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.009912461097923628+0i, 'YZXIYYIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024386799089135124+0i, 'YZXIYYIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00516966115931119+0i, 'YZXIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006545167376159874+0i, 'YZXIYZIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000001919499197929779+0i, 'YZXXXIZIYIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007349942199732871+0i, 'YZXXYIZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004250126591521307+0i, 'YZXYXIZIYIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007349942199732871+0i, 'YZXYXIZIYIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006830796729644614+0i, 'YZXYYIZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004250126591521307+0i, 'YZXYYIZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004903502479567088+0i, 'YZXZXIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000015495072801730244+0i, 'YZXZYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003527481440276699+0i, 'YZYIXIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006881945697384801+0i, 'YZYIXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000014448745105110505+0i, 'YZYIXIIIXIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.0000001912619259779544+0i, 'YZYIXIIIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.0000003336460876894293+0i, 'YZYIXIIIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000003507991232947341+0i, 'YZYIXIIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008019530673693032+0i, 'YZYIXIIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009254037476549453+0i, 'YZYIXIIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000013006680423453114+0i, 'YZYIXIIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007285063449655289+0i, 'YZYIXIIIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'YZYIXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008533051967376143+0i, 'YZYIXIIIZIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.000000012670494333708411+0i, 'YZYIXIIIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'YZYIXIIIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000018312215462359245+0i, 'YZYIXIIIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026158463855350305+0i, 'YZYIXIIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006545167376159874+0i, 'YZYIXIIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017204352194986832+0i, 'YZYIXIIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006973467099604988+0i, 'YZYIXIIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000016973594685476829+0i, 'YZYIXIIZXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000016222443168374952+0i, 'YZYIXIIZZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004814686642482088+0i, 'YZYIXIZIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'YZYIXIZIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000016395864950673523+0i, 'YZYIXIZIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000005669791421695029+0i, 'YZYIXXIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01609883405788545+0i, 'YZYIXXIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.011304778122555207+0i, 'YZYIXXIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024386799089135124+0i, 'YZYIXXIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01926468575777221+0i, 'YZYIXYIIXXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01774920287993442+0i, 'YZYIXYIIXYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01774920287993442+0i, 'YZYIXYIIXYZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01609883405788545+0i, 'YZYIXYIIXZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00732667793655905+0i, 'YZYIXYIIZXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.009912461097923628+0i, 'YZYIXYIIZYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.009912461097923628+0i, 'YZYIXYIIZYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024386799089135124+0i, 'YZYIXYIIZZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00516966115931119+0i, 'YZYIXZIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008019530673693032+0i, 'YZYIXZIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000021427195126971213+0i, 'YZYIXZIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006545167376159874+0i, 'YZYIXZIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000001919499197929779+0i, 'YZYIYIIIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'YZYIYIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010327166927560803+0i, 'YZYXXIZIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007349942199732871+0i, 'YZYXXIZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004250126591521307+0i, 'YZYYXIZIXIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007349942199732871+0i, 'YZYYXIZIXIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006830796729644614+0i, 'YZYYXIZIZIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004250126591521307+0i, 'YZYYXIZIZIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004903502479567088+0i, 'YZYZXIIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000015495072801730244+0i, 'YZYZXIIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003527481440276699+0i, 'YZZIXXIXXIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000029037494294204896+0i, 'YZZIXXIXXIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000029037494294204896+0i, 'YZZIXXIXXIZIIYIIIIIIIIIIIIIIIIIIIIIII': 0.00000001439753849388614+0i, 'YZZIXXIXZIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000017485180976190498+0i, 'YZZIXXIXZIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000017485180976190498+0i, 'YZZIXXIXZIZIIYIIIIIIIIIIIIIIIIIIIIIII': 0.0000000626362927343161+0i, 'YZZIXXIYYIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000029037494294204896+0i, 'YZZIXXIYYIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000029037494294204896+0i, 'YZZIXXIYYIZIIYIIIIIIIIIIIIIIIIIIIIIII': 0.00000001439753849388614+0i, 'YZZIXXXIXIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'YZZIXXXIXIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026857132619785154+0i, 'YZZIXXXIXIYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000008885015986546761+0i, 'YZZIXXXIXIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000010898827842388664+0i, 'YZZIXXXIXIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002268847683767937+0i, 'YZZIXXXIZIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000031898032780365845+0i, 'YZZIXXXIZIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001640297548266427+0i, 'YZZIXXXIZIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000053662020597575315+0i, 'YZZIXXYIXIXYYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017153035605304745+0i, 'YZZIXXYIXIYXYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017153035605304745+0i, 'YZZIXXYIXIZYYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012209500057747357+0i, 'YZZIXXYIXIZZYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000013472670936498622+0i, 'YZZIXXYIYIXYXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017153035605304745+0i, 'YZZIXXYIYIXYZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'YZZIXXYIYIXZZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026857132619785154+0i, 'YZZIXXYIYIYXXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017153035605304745+0i, 'YZZIXXYIYIYXZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000008885015986546761+0i, 'YZZIXXYIYIZYXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012209500057747357+0i, 'YZZIXXYIYIZYZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000010898827842388664+0i, 'YZZIXXYIYIZZXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000013472670936498622+0i, 'YZZIXXYIYIZZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002268847683767937+0i, 'YZZIXXYIZIXYYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007846248392991063+0i, 'YZZIXXYIZIXZYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'YZZIXXYIZIYXYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007846248392991063+0i, 'YZZIXXYIZIZYYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003906093222418134+0i, 'YZZIXYIXXIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.00000001439753849388614+0i, 'YZZIXYIXZIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.0000000626362927343161+0i, 'YZZIXYIYYIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.00000001439753849388614+0i, 'YZZIXYXIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000010898827842388664+0i, 'YZZIXYXIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001640297548266427+0i, 'YZZIXYYIXIIXYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012209500057747357+0i, 'YZZIXYYIYIIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012209500057747357+0i, 'YZZIXYYIYIIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000010898827842388664+0i, 'YZZIXYYIZIIXYIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003906093222418134+0i, 'YZZIXZIXXXIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.009559977200109288+0i, 'YZZIXZIXXYIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.009559977200109288+0i, 'YZZIXZIXXZIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.0002900354844260307+0i, 'YZZIXZIXZXIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.014616837616021673+0i, 'YZZIXZIXZYIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.014616837616021673+0i, 'YZZIXZIXZZIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'YZZIXZIYYXIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.009559977200109288+0i, 'YZZIXZIYYYIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.009559977200109288+0i, 'YZZIXZIYYZIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.0002900354844260307+0i, 'YZZIXZXIXXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0001247385335499872+0i, 'YZZIXZXIXXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.017779208140147496+0i, 'YZZIXZXIXYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0001247385335499872+0i, 'YZZIXZXIXZIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0005352864175997575+0i, 'YZZIXZXIXZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.03074172994251951+0i, 'YZZIXZXIZXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.005108425151220365+0i, 'YZZIXZXIZXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.008369953204006035+0i, 'YZZIXZXIZYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.005108425151220365+0i, 'YZZIXZXIZZIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004700535589387521+0i, 'YZZIXZXIZZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.026007683665143607+0i, 'YZZIXZYIXXIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.007722945973013233+0i, 'YZZIXZYIXXIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.0001247385335499872+0i, 'YZZIXZYIXYIXYIIIIIIIIIIIIIIIIIIIIIIII': -0.007722945973013233+0i, 'YZZIXZYIXZIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.00007567921249935078+0i, 'YZZIXZYIXZIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.0047572516192948+0i, 'YZZIXZYIYXIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.007722945973013233+0i, 'YZZIXZYIYXIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.0001247385335499872+0i, 'YZZIXZYIYXIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0001247385335499872+0i, 'YZZIXZYIYXIZZIIIIIIIIIIIIIIIIIIIIIIII': -0.017779208140147496+0i, 'YZZIXZYIYYIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.007722945973013233+0i, 'YZZIXZYIYYIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.0001247385335499872+0i, 'YZZIXZYIYZIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.00007567921249935078+0i, 'YZZIXZYIYZIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.0005352864175997575+0i, 'YZZIXZYIYZIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0047572516192948+0i, 'YZZIXZYIYZIZZIIIIIIIIIIIIIIIIIIIIIIII': -0.03074172994251951+0i, 'YZZIXZYIZXIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.008830200378754833+0i, 'YZZIXZYIZXIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.0005906897714898403+0i, 'YZZIXZYIZYIXYIIIIIIIIIIIIIIIIIIIIIIII': -0.008830200378754833+0i, 'YZZIXZYIZZIYYIIIIIIIIIIIIIIIIIIIIIIII': -0.0056398152645194535+0i, 'YZZIXZYIZZIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.0033451847586839474+0i, 'YZZIYXIYIIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000017485180976190498+0i, 'YZZIYXIYIIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000017485180976190498+0i, 'YZZIYXIYIIZIIYIIIIIIIIIIIIIIIIIIIIIII': 0.0000000626362927343161+0i, 'YZZIYXYIIIXYXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007846248392991063+0i, 'YZZIYXYIIIXZXIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000030252015407492863+0i, 'YZZIYXYIIIXZZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000031898032780365845+0i, 'YZZIYXYIIIYXXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007846248392991063+0i, 'YZZIYXYIIIZYXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003906093222418134+0i, 'YZZIYXYIIIZYZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001640297548266427+0i, 'YZZIYXYIIIZZZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000053662020597575315+0i, 'YZZIYYIYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.0000000626362927343161+0i, 'YZZIYYYIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003906093222418134+0i, 'YZZIYYYIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001640297548266427+0i, 'YZZIYZIYIXIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.014616837616021673+0i, 'YZZIYZIYIYIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.014616837616021673+0i, 'YZZIYZIYIZIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.011728110805522775+0i, 'YZZIYZYIIXIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.008830200378754833+0i, 'YZZIYZYIIXIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.005108425151220365+0i, 'YZZIYZYIIXIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0005906897714898403+0i, 'YZZIYZYIIXIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.008369953204006035+0i, 'YZZIYZYIIYIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.008830200378754833+0i, 'YZZIYZYIIYIXZIIIIIIIIIIIIIIIIIIIIIIII': 0.005108425151220365+0i, 'YZZIYZYIIZIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.0056398152645194535+0i, 'YZZIYZYIIZIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.004700535589387521+0i, 'YZZIYZYIIZIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0033451847586839474+0i, 'YZZIYZYIIZIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.026007683665143607+0i, 'YZZXXXXIXIXIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017581110633189572+0i, 'YZZXXXXIXIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000011999918999715813+0i, 'YZZXXXXIYIXIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017581110633189572+0i, 'YZZXXXXIYIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006973467099604987+0i, 'YZZXXXXIYIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000011999918999715813+0i, 'YZZXXXXIYIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007728518362924502+0i, 'YZZXXXXIZIXIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004250126591521307+0i, 'YZZXXXXIZIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000065698468974556556+0i, 'YZZXXXYIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006973467099604987+0i, 'YZZXXXYIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007728518362924502+0i, 'YZZXXXYIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004903502479567088+0i, 'YZZXXZXIXXIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0017851758312223574+0i, 'YZZXXZXIXZIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.005108425151220365+0i, 'YZZXXZXIYXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0017851758312223574+0i, 'YZZXXZXIYXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.015251288901414455+0i, 'YZZXXZXIYZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.005108425151220365+0i, 'YZZXXZXIYZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.008369953204006035+0i, 'YZZXXZXIZXIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.001645453200215271+0i, 'YZZXXZXIZZIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0022886102997761895+0i, 'YZZXXZYIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.015251288901414455+0i, 'YZZXXZYIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.008369953204006035+0i, 'YZZXXZYIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.005389940360181949+0i, 'YZZXXZYIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03116654112690665+0i, 'YZZXYXXIIIXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004250126591521307+0i, 'YZZXYXXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004903502479567088+0i, 'YZZXYXXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000065698468974556556+0i, 'YZZXYZXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.001645453200215271+0i, 'YZZXYZXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.005389940360181949+0i, 'YZZXYZXIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0022886102997761895+0i, 'YZZXYZXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.03116654112690665+0i, 'YZZYXXXIXIYIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017581110633189572+0i, 'YZZYXXXIYIYIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017581110633189572+0i, 'YZZYXXXIYIYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006973467099604987+0i, 'YZZYXXXIZIYIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004250126591521307+0i, 'YZZYXXYIXIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006973467099604987+0i, 'YZZYXXYIZIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004903502479567088+0i, 'YZZYXYXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000011999918999715813+0i, 'YZZYXYXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000011999918999715813+0i, 'YZZYXYXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007728518362924502+0i, 'YZZYXYXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000065698468974556556+0i, 'YZZYXYYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007728518362924502+0i, 'YZZYXZXIXYIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0017851758312223574+0i, 'YZZYXZXIYYIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0017851758312223574+0i, 'YZZYXZXIYYIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.015251288901414455+0i, 'YZZYXZXIZYIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.001645453200215271+0i, 'YZZYXZYIXYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.015251288901414455+0i, 'YZZYXZYIZYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.005389940360181949+0i, 'YZZYYXXIIIYIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004250126591521307+0i, 'YZZYYXXIIIYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004903502479567088+0i, 'YZZYYYXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000065698468974556556+0i, 'YZZYYZXIIYIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.001645453200215271+0i, 'YZZYYZXIIYIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.005389940360181949+0i, 'ZIIXIXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017204352194986832+0i, 'ZIIXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006386924541554692+0i, 'ZIIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01883195682114601+0i, 'ZIIYIXIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017204352194986832+0i, 'ZIIYIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006386924541554692+0i, 'ZIIYIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01883195682114601+0i, 'ZIIYIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0016677953536175304+0i, 'ZIIZIXZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000028444148802410263+0i, 'ZIIZIXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012944526688671274+0i, 'ZIIZIXZIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000028444148802410263+0i, 'ZIIZIXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000588758398825461+0i, 'ZIIZIXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004230005267618371+0i, 'ZIIZIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000588758398825461+0i, 'ZIIZIZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00006671308503174798+0i, 'ZIIZIZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.010939886003671444+0i, 'ZIIZIZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00006671308503174798+0i, 'ZIIZIZZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0016049614613082557+0i, 'ZIIZIZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.14896740087869104+0i, 'ZIXIIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007924300902775946+0i, 'ZIXIIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000025857859202230357+0i, 'ZIXXIIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000017485180976190498+0i, 'ZIXXIIXIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000030252015407492863+0i, 'ZIXXIIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000031898032780365845+0i, 'ZIXXIIYIIIIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007846248392991063+0i, 'ZIXYIIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000017485180976190498+0i, 'ZIXYIIXIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'ZIXYIIYIIIIXYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007846248392991063+0i, 'ZIXZIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007243452402991124+0i, 'ZIXZIIXIIIIYYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000005368271948496131+0i, 'ZIXZIIXIIIIZYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006848440571650526+0i, 'ZIXZIIXIIIZIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000028444148802410263+0i, 'ZIXZIIXIIXIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'ZIXZIIXIIZIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012875068127912043+0i, 'ZIXZIIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001717110754054748+0i, 'ZIXZIIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012875068127912043+0i, 'ZIXZIIXZIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000005209640329771513+0i, 'ZIXZIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000002693993647827759+0i, 'ZIXZIIYIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.000000041354225170846595+0i, 'ZIXZIIYIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'ZIXZIIYIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000681037446078476+0i, 'ZIXZIIYIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'ZIXZIIYIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007347201655634372+0i, 'ZIXZIIYIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006535968122391638+0i, 'ZIXZIIYIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012944526688671276+0i, 'ZIXZIIYIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026857132619785154+0i, 'ZIXZIIYIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009320333651911841+0i, 'ZIXZIIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000035301454247217986+0i, 'ZIXZIIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003686346771541274+0i, 'ZIXZIIYZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003074183777810702+0i, 'ZIXZIIZXIIIXIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000005209640329771514+0i, 'ZIXZIIZXIIIYIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000005209640329771514+0i, 'ZIXZIIZXIIIZIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000010612387392739576+0i, 'ZIXZIXXIIXIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0022644694973199754+0i, 'ZIXZIXXIIZIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0023884325601467803+0i, 'ZIXZIXYIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.012224502972950158+0i, 'ZIXZIXYIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00024874569931095396+0i, 'ZIXZIYXIIXYIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0007820302480193845+0i, 'ZIXZIYXIIYXIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0007820302480193845+0i, 'ZIXZIYXIIYZIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0022644694973199754+0i, 'ZIXZIYXIIZYIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0008471127705963529+0i, 'ZIXZIYYIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.007326677936559049+0i, 'ZIXZIYYIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.007326677936559049+0i, 'ZIXZIYYIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.012224502972950158+0i, 'ZIXZIYYIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.011970655549977808+0i, 'ZIXZIZXIIIZIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000020284764022882738+0i, 'ZIXZIZYIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006535968122391638+0i, 'ZIXZIZYIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010002775785646489+0i, 'ZIXZZIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000775994529237496+0i, 'ZIXZZIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000024931052832922437+0i, 'ZIXZZIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000014267036996037242+0i, 'ZIXZZIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000003674174311254638+0i, 'ZIXZZIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003672815794682171+0i, 'ZIXZZIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002095435672266327+0i, 'ZIYIIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007924300902775946+0i, 'ZIYIIIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000025857859202230357+0i, 'ZIYXIIIYIIIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000017485180976190498+0i, 'ZIYXIIYIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007846248392991063+0i, 'ZIYXIIYIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000030252015407492863+0i, 'ZIYXIIYIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000031898032780365845+0i, 'ZIYYIIIYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000017485180976190498+0i, 'ZIYYIIYIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007846248392991063+0i, 'ZIYYIIYIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'ZIYZIIXIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000681037446078476+0i, 'ZIYZIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007243452402991124+0i, 'ZIYZIIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.0000002693993647827759+0i, 'ZIYZIIXIIIIIZZIIIIIIIIIIIIIIIIIIIIIII': 0.000000041354225170846595+0i, 'ZIYZIIXIIIIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000005368271948496131+0i, 'ZIYZIIXIIIIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004045869417738505+0i, 'ZIYZIIXIIIIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006848440571650526+0i, 'ZIYZIIXIIIIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007347201655634372+0i, 'ZIYZIIXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006535968122391638+0i, 'ZIYZIIXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000028444148802410263+0i, 'ZIYZIIXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012944526688671276+0i, 'ZIYZIIXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000008885015986546761+0i, 'ZIYZIIXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026857132619785154+0i, 'ZIYZIIXIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012875068127912043+0i, 'ZIYZIIXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000009320333651911841+0i, 'ZIYZIIXIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000775994529237496+0i, 'ZIYZIIXIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003672815794682171+0i, 'ZIYZIIXIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000024931052832922437+0i, 'ZIYZIIXIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012875068127912043+0i, 'ZIYZIIXIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003686346771541274+0i, 'ZIYZIIXZIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000005209640329771513+0i, 'ZIYZIIXZIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003074183777810702+0i, 'ZIYZIIYIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'ZIYZIIYIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000014267036996037242+0i, 'ZIYZIIZYIIIXIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000005209640329771514+0i, 'ZIYZIIZYIIIYIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000005209640329771514+0i, 'ZIYZIIZYIIIZIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000010612387392739576+0i, 'ZIYZIXXIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0022644694973199754+0i, 'ZIYZIXXIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.012224502972950158+0i, 'ZIYZIXXIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0023884325601467803+0i, 'ZIYZIXXIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00024874569931095396+0i, 'ZIYZIYXIIXYIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0007820302480193845+0i, 'ZIYZIYXIIXYIZIIIIIIIIIIIIIIIIIIIIIIII': 0.007326677936559049+0i, 'ZIYZIYXIIYXIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0007820302480193845+0i, 'ZIYZIYXIIYXIZIIIIIIIIIIIIIIIIIIIIIIII': -0.007326677936559049+0i, 'ZIYZIYXIIYZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0022644694973199754+0i, 'ZIYZIYXIIYZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.012224502972950158+0i, 'ZIYZIYXIIZYIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0008471127705963529+0i, 'ZIYZIYXIIZYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.011970655549977808+0i, 'ZIYZIZXIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006535968122391638+0i, 'ZIYZIZXIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000020284764022882738+0i, 'ZIYZIZXIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000010002775785646489+0i, 'ZIYZZIXIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001717110754054748+0i, 'ZIYZZIXIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000035301454247217986+0i, 'ZIYZZIXIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000003674174311254638+0i, 'ZIYZZIXIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000002095435672266327+0i, 'ZIZIIXZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000003674174311254638+0i, 'ZIZIIXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000002095435672266327+0i, 'ZIZIIXZIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000003674174311254638+0i, 'ZIZIIXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000010185732916363537+0i, 'ZIZIIXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004331890572045071+0i, 'ZIZIIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000010185732916363537+0i, 'ZIZIIZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0014422703777326902+0i, 'ZIZIIZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.01901799263023132+0i, 'ZIZIIZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0014422703777326902+0i, 'ZIZIIZZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0016619185006724766+0i, 'ZIZIIZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.1374330588794629+0i, 'ZIZXIIIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.015632475168107188+0i, 'ZIZXIIIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01028401411373847+0i, 'ZIZXIIIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.019512937639314252+0i, 'ZIZXIIIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.010754405245218531+0i, 'ZIZXIXIIIIXXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'ZIZXIXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008533051967376144+0i, 'ZIZXIXIIIIYIIZIIIIIIIIIIIIIIIIIIIIIII': 0.000000004814686642482088+0i, 'ZIZXIXIIIIYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026158463855350305+0i, 'ZIZXIXIIIIYZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000018312215462359245+0i, 'ZIZXIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000017928828757176555i, 'ZIZXIXIIIIZXIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001640297548266427+0i, 'ZIZXIXIIIXYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003672815794682171+0i, 'ZIZXIXIIIZYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006881945697384801+0i, 'ZIZXIXIIXIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000516790587416944+0i, 'ZIZXIXIIZIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000016973594685476829+0i, 'ZIZXIXIZIIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012670494333708411+0i, 'ZIZXIXZIIIYIZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000026228241358670817+0i, 'ZIZXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000012585121054601024+0i, 'ZIZXIYIIIIIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.00000011122056727197663+0i, 'ZIZXIYIIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000015605972678081312+0i, 'ZIZXIYIIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000034447415218334567+0i, 'ZIZXIYIIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000007970028045829575+0i, 'ZIZXIYIIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000003054132199591643+0i, 'ZIZXIYIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007712233168235471+0i, 'ZIZXIYIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000012932091917714566+0i, 'ZIZXIYIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009982206229658626+0i, 'ZIZXIYIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008372221309046716+0i, 'ZIZXIYIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004726248502142025+0i, 'ZIZXIYIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011143265955913177+0i, 'ZIZXIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000017385686000629275+0i, 'ZIZXIYZIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000015605972678081312+0i, 'ZIZXIYZIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011270484178015994+0i, 'ZIZXIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.00000000000000027755575615628914i, 'ZIZXIZIIIXIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.005699114922710205+0i, 'ZIZXIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.28158077115505264+0i, 'ZIZXIZIIIYIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.024737509033955715+0i, 'ZIZXIZIIIYIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.004664385121536082+0i, 'ZIZXIZIIIYIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.07633055491601706+0i, 'ZIZXIZIIIYIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0004440400296842833+0i, 'ZIZXIZIIIYIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.06750035453726223+0i, 'ZIZXIZIIIYXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.005348461054368717+0i, 'ZIZXIZIIIYZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.02874441791906964+0i, 'ZIZXIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.0000000000000002636779683484747i, 'ZIZXIZIIIZIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.008045720348071468+0i, 'ZIZXIZIIXYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.02536230037058259+0i, 'ZIZXIZIIZYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024214302142386252+0i, 'ZIZXIZIZIYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.03935434664997739+0i, 'ZIZXIZZIIYIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004664385121536082+0i, 'ZIZXIZZIIYIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.021481917359193595+0i, 'ZIZXZXIIXIYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000516790587416944+0i, 'ZIZXZXIIZIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000003527481440276699+0i, 'ZIZXZYIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004726248502142025+0i, 'ZIZXZYIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000015802371676598853+0i, 'ZIZXZZIIXYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.02536230037058259+0i, 'ZIZXZZIIZYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.03557775846404743+0i, 'ZIZYIIIIIXXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.005348461054368717+0i, 'ZIZYIIIIIXZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.019512937639314252+0i, 'ZIZYIIIIIZXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00006419934777012783+0i, 'ZIZYIIIIIZZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0006376199396606315+0i, 'ZIZYIXIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000012932091917714566+0i, 'ZIZYIXIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000008533051967376144+0i, 'ZIZYIXIIIIXIIZIIIIIIIIIIIIIIIIIIIIIII': -0.000000004814686642482088+0i, 'ZIZYIXIIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026158463855350305+0i, 'ZIZYIXIIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000030252015407492863+0i, 'ZIZYIXIIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000018312215462359245+0i, 'ZIZYIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000012585121054601024+0i, 'ZIZYIXIIIIZIIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000011122056727197663+0i, 'ZIZYIXIIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000015605972678081312+0i, 'ZIZYIXIIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000034447415218334567+0i, 'ZIZYIXIIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000015605972678081312+0i, 'ZIZYIXIIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000003054132199591643+0i, 'ZIZYIXIIIXXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000014267036996037242+0i, 'ZIZYIXIIIXZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017366260443253713+0i, 'ZIZYIXIIIYYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000035301454247217986+0i, 'ZIZYIXIIIZXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006881945697384801+0i, 'ZIZYIXIIIZZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008372221309046716+0i, 'ZIZYIXIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000516790587416944+0i, 'ZIZYIXIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004726248502142025+0i, 'ZIZYIXIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000016973594685476829+0i, 'ZIZYIXIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000011143265955913177+0i, 'ZIZYIXIZIIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012670494333708411+0i, 'ZIZYIXIZIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000017385686000629275+0i, 'ZIZYIXZIIIXIZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000026228241358670817+0i, 'ZIZYIXZIIIZIXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000015605972678081312+0i, 'ZIZYIXZIIIZIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000011270484178015994+0i, 'ZIZYIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0+0.00000000000000017928828757176555i, 'ZIZYIYIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007712233168235471+0i, 'ZIZYIYIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007384054213595088+0i, 'ZIZYIZIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0008194456980115759+0i, 'ZIZYIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.28158077115505264+0i, 'ZIZYIZIIIXIIIZIIIIIIIIIIIIIIIIIIIIIII': 0.024737509033955715+0i, 'ZIZYIZIIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.004664385121536082+0i, 'ZIZYIZIIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.07633055491601706+0i, 'ZIZYIZIIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0052550748930259225+0i, 'ZIZYIZIIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.06750035453726223+0i, 'ZIZYIZIIIXXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01028401411373847+0i, 'ZIZYIZIIIXZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.02874441791906964+0i, 'ZIZYIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.00000000000000027755575615628914i, 'ZIZYIZIIIYYIIIIIIIIIIIIIIIIIIIIIIIIII': -0.015632475168107188+0i, 'ZIZYIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.12121080615047831+0i, 'ZIZYIZIIIZIIIZIIIIIIIIIIIIIIIIIIIIIII': -0.005803462242885839+0i, 'ZIZYIZIIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.00470053558938752+0i, 'ZIZYIZIIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.03271096904839934+0i, 'ZIZYIZIIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.008045720348071468+0i, 'ZIZYIZIIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.027071153783879885+0i, 'ZIZYIZIIIZXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.010690205897448405+0i, 'ZIZYIZIIIZZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0035018658056936588+0i, 'ZIZYIZIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.02536230037058259+0i, 'ZIZYIZIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.005389940360181949+0i, 'ZIZYIZIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024214302142386252+0i, 'ZIZYIZIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.014431843203402878+0i, 'ZIZYIZIZIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03935434664997739+0i, 'ZIZYIZIZIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.017531573048408616+0i, 'ZIZYIZZIIXIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.004664385121536082+0i, 'ZIZYIZZIIXIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.021481917359193595+0i, 'ZIZYIZZIIZIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.00470053558938752+0i, 'ZIZYIZZIIZIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.026007683665143604+0i, 'ZIZYZXIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000516790587416944+0i, 'ZIZYZXIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004726248502142025+0i, 'ZIZYZXIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003527481440276699+0i, 'ZIZYZXIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000015802371676598853+0i, 'ZIZYZZIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.02536230037058259+0i, 'ZIZYZZIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.005389940360181949+0i, 'ZIZYZZIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.03557775846404743+0i, 'ZIZYZZIIZZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00046350433828580475+0i, 'ZIZZIIZIIXXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.003988359818953312+0i, 'ZIZZIIZIIXXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.007909859219790817+0i, 'ZIZZIIZIIXYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0013111264947250074+0i, 'ZIZZIIZIIXZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004235961114459337+0i, 'ZIZZIIZIIXZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.025116946394515387+0i, 'ZIZZIIZIIYXXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0026772333242283037+0i, 'ZIZZIIZIIYZXIIIIIIIIIIIIIIIIIIIIIIIII': 0.004235961114459337+0i, 'ZIZZIIZIIZXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.002195849780574526+0i, 'ZIZZIIZIIZXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.03937153265945753+0i, 'ZIZZIIZIIZYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0011728496324256812+0i, 'ZIZZIIZIIZZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00430380478205216+0i, 'ZIZZIIZIIZZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.13409989194936212+0i, 'ZIZZIXIIIIXYXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000005368271948496131+0i, 'ZIZZIXIIIIXZXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004045869417738505+0i, 'ZIZZIXIIIIXZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004081172345395382+0i, 'ZIZZIXIIIIYXXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000005368271948496131+0i, 'ZIZZIXIIIIZYXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000371881326193215+0i, 'ZIZZIXIIIIZYZIIIIIIIIIIIIIIIIIIIIIIII': 0.000000017596323937886755+0i, 'ZIZZIXIIIIZZXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004097051117877952+0i, 'ZIZZIXIIIIZZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000008151136069873853+0i, 'ZIZZIXXXIIXIXYIIIIIIIIIIIIIIIIIIIIIII': 0.0000000052096403297715135+0i, 'ZIZZIXXXIIXIZYIIIIIIIIIIIIIIIIIIIIIII': -0.000000010612387392739578+0i, 'ZIZZIXXXIIYIXXIIIIIIIIIIIIIIIIIIIIIII': -0.0000000052096403297715135+0i, 'ZIZZIXXXIIYIZXIIIIIIIIIIIIIIIIIIIIIII': 0.000000010612387392739578+0i, 'ZIZZIXXXIIZIXYIIIIIIIIIIIIIIIIIIIIIII': -0.000000016428420971060635+0i, 'ZIZZIXXXIIZIZYIIIIIIIIIIIIIIIIIIIIIII': 0.000000007268409746192926+0i, 'ZIZZIXXYIIXIYYIIIIIIIIIIIIIIIIIIIIIII': 0.0000000052096403297715135+0i, 'ZIZZIXXYIIYIYXIIIIIIIIIIIIIIIIIIIIIII': -0.0000000052096403297715135+0i, 'ZIZZIXXYIIZIYYIIIIIIIIIIIIIIIIIIIIIII': -0.000000016428420971060635+0i, 'ZIZZIXYYIIXIIYIIIIIIIIIIIIIIIIIIIIIII': -0.000000010612387392739578+0i, 'ZIZZIXYYIIYIIXIIIIIIIIIIIIIIIIIIIIIII': 0.000000010612387392739578+0i, 'ZIZZIXYYIIZIIYIIIIIIIIIIIIIIIIIIIIIII': 0.000000007268409746192926+0i, 'ZIZZIXZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000588758398825461+0i, 'ZIZZIXZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000035764084553792075+0i, 'ZIZZIXZIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000681037446078476+0i, 'ZIZZIXZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007243452402991124+0i, 'ZIZZIXZIIIXYIZIIIIIIIIIIIIIIIIIIIIIII': -0.000000005209640329771513+0i, 'ZIZZIXZIIIXYXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000005368271948496131+0i, 'ZIZZIXZIIIXYZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006848440571650526+0i, 'ZIZZIXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000002693993647827759+0i, 'ZIZZIXZIIIXZIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000003074183777810702+0i, 'ZIZZIXZIIIXZXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004045869417738505+0i, 'ZIZZIXZIIIXZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000007347201655634372+0i, 'ZIZZIXZIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007243452402991124+0i, 'ZIZZIXZIIIYXIZIIIIIIIIIIIIIIIIIIIIIII': 0.000000005209640329771513+0i, 'ZIZZIXZIIIYXXIIIIIIIIIIIIIIIIIIIIIIII': -0.000000005368271948496131+0i, 'ZIZZIXZIIIYXZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006848440571650526+0i, 'ZIZZIXZIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000014398077355283076+0i, 'ZIZZIXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000003072188755992133+0i, 'ZIZZIXZIIIZYIZIIIIIIIIIIIIIIIIIIIIIII': 0.000000022756168494170135+0i, 'ZIZZIXZIIIZYXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000371881326193215+0i, 'ZIZZIXZIIIZYZIIIIIIIIIIIIIIIIIIIIIIII': 0.00000024974529554956165+0i, 'ZIZZIXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000005634143389817655+0i, 'ZIZZIXZIIIZZIZIIIIIIIIIIIIIIIIIIIIIII': -0.00000007812829627745813+0i, 'ZIZZIXZIIIZZXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000004097051117877952+0i, 'ZIZZIXZIIIZZZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000014026196029089862+0i, 'ZIZZIXZIIXXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000008885015986546761+0i, 'ZIZZIXZIIXXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000016395864950673523+0i, 'ZIZZIXZIIXYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000008885015986546761+0i, 'ZIZZIXZIIXZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000004866371549477807+0i, 'ZIZZIXZIIXZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004058748756887983+0i, 'ZIZZIXZIIYYZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000016395864950673523+0i, 'ZIZZIXZIIZXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012875068127912043+0i, 'ZIZZIXZIIZXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000003686346771541274+0i, 'ZIZZIXZIIZYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012875068127912043+0i, 'ZIZZIXZIIZZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001505432923495098+0i, 'ZIZZIXZIIZZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006962569100596312+0i, 'ZIZZIXZIXIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009821165340814609+0i, 'ZIZZIXZIXIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000033006513049228165+0i, 'ZIZZIXZIXIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000009821165340814609+0i, 'ZIZZIXZIXIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001159901719433355+0i, 'ZIZZIXZIXIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006730297739958639+0i, 'ZIZZIXZIZIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000012875068127912043+0i, 'ZIZZIXZIZIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009320333651911841+0i, 'ZIZZIXZIZIYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000012875068127912043+0i, 'ZIZZIXZIZIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001505432923495098+0i, 'ZIZZIXZIZIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000014168683990934356+0i, 'ZIZZIXZZIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000413542251708466+0i, 'ZIZZIXZZIIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000006327747523109497+0i, 'ZIZZIXZZIIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000708598865312652+0i, 'ZIZZIYIIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000371881326193215+0i, 'ZIZZIYIIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.000000017596323937886755+0i, 'ZIZZIYXXIIIIXXIIIIIIIIIIIIIIIIIIIIIII': 0.000000016428420971060635+0i, 'ZIZZIYXXIIIIZXIIIIIIIIIIIIIIIIIIIIIII': -0.000000007268409746192926+0i, 'ZIZZIYXYIIIIYXIIIIIIIIIIIIIIIIIIIIIII': 0.000000016428420971060635+0i, 'ZIZZIYYYIIIIIXIIIIIIIIIIIIIIIIIIIIIII': -0.000000007268409746192926+0i, 'ZIZZIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000003072188755992133+0i, 'ZIZZIYZIIIIXIZIIIIIIIIIIIIIIIIIIIIIII': -0.000000022756168494170135+0i, 'ZIZZIYZIIIIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.00000000371881326193215+0i, 'ZIZZIYZIIIIXZIIIIIIIIIIIIIIIIIIIIIIII': -0.00000024974529554956165+0i, 'ZIZZIYZIIIXXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000027042797867344305+0i, 'ZIZZIYZIIIYYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000027042797867344305+0i, 'ZIZZIYZIIIYZIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000011530426358281644+0i, 'ZIZZIYZIIIZXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000000588758398825461+0i, 'ZIZZIYZIIXIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000002573843094109958+0i, 'ZIZZIYZIIYIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000022925284553678497+0i, 'ZIZZIYZIIYIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004058748756887983+0i, 'ZIZZIYZIIZIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001505432923495098+0i, 'ZIZZIYZIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001159901719433355+0i, 'ZIZZIYZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001505432923495098+0i, 'ZIZZIYZZIIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000006327747523109497+0i, 'ZIZZIZIIIXIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.00007567921249935078+0i, 'ZIZZIZIIIXIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.0047572516192948+0i, 'ZIZZIZIIIXIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0005352864175997575+0i, 'ZIZZIZIIIXIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.03074172994251951+0i, 'ZIZZIZIIIYIXXIIIIIIIIIIIIIIIIIIIIIIII': 0.00007567921249935078+0i, 'ZIZZIZIIIYIXZIIIIIIIIIIIIIIIIIIIIIIII': 0.0047572516192948+0i, 'ZIZZIZIIIZIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.006883909531020928+0i, 'ZIZZIZIIIZIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.00278320271207416+0i, 'ZIZZIZIIIZIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.0027832027120741603+0i, 'ZIZZIZIIIZIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.19399938985579732+0i, 'ZIZZIZXXIXIIXYIIIIIIIIIIIIIIIIIIIIIII': 0.0038801526666063187+0i, 'ZIZZIZXXIXIIZYIIIIIIIIIIIIIIIIIIIIIII': -0.00029003548442603077+0i, 'ZIZZIZXXIYIIXXIIIIIIIIIIIIIIIIIIIIIII': -0.0038801526666063187+0i, 'ZIZZIZXXIYIIZXIIIIIIIIIIIIIIIIIIIIIII': 0.00029003548442603077+0i, 'ZIZZIZXXIZIIXYIIIIIIIIIIIIIIIIIIIIIII': -0.0033478980733706813+0i, 'ZIZZIZXXIZIIZYIIIIIIIIIIIIIIIIIIIIIII': 0.013857911511535839+0i, 'ZIZZIZXYIXIIYYIIIIIIIIIIIIIIIIIIIIIII': 0.0038801526666063187+0i, 'ZIZZIZXYIYIIYXIIIIIIIIIIIIIIIIIIIIIII': -0.0038801526666063187+0i, 'ZIZZIZXYIZIIYYIIIIIIIIIIIIIIIIIIIIIII': -0.0033478980733706813+0i, 'ZIZZIZYYIXIIIYIIIIIIIIIIIIIIIIIIIIIII': -0.00029003548442603077+0i, 'ZIZZIZYYIYIIIXIIIIIIIIIIIIIIIIIIIIIII': 0.00029003548442603077+0i, 'ZIZZIZYYIZIIIYIIIIIIIIIIIIIIIIIIIIIII': 0.013857911511535839+0i, 'ZIZZIZZIIIIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.005363081061715332+0i, 'ZIZZIZZIIIIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.11949869311198347+0i, 'ZIZZIZZIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.05602378747674352+0i, 'ZIZZIZZIIXIXIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.00000000000000016653345369377348i, 'ZIZZIZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.07170028934810821+0i, 'ZIZZIZZIIXIYIZIIIIIIIIIIIIIIIIIIIIIII': -0.00541436689900591+0i, 'ZIZZIZZIIXIYXIIIIIIIIIIIIIIIIIIIIIIII': 0.00007567921249935078+0i, 'ZIZZIZZIIXIYZIIIIIIIIIIIIIIIIIIIIIIII': -0.05863955340699901+0i, 'ZIZZIZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.2282196033169116+0i, 'ZIZZIZZIIXIZIZIIIIIIIIIIIIIIIIIIIIIII': 0.030072497489920507+0i, 'ZIZZIZZIIXIZXIIIIIIIIIIIIIIIIIIIIIIII': -0.0005352864175997575+0i, 'ZIZZIZZIIXIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.05594810826424417+0i, 'ZIZZIZZIIXXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0026772333242283037+0i, 'ZIZZIZZIIXXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.008829584070185767+0i, 'ZIZZIZZIIXZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0007153171629876366+0i, 'ZIZZIZZIIXZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.018266563940230497+0i, 'ZIZZIZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.07170028934810821+0i, 'ZIZZIZZIIYIXIZIIIIIIIIIIIIIIIIIIIIIII': 0.00541436689900591+0i, 'ZIZZIZZIIYIXXIIIIIIIIIIIIIIIIIIIIIIII': -0.00007567921249935078+0i, 'ZIZZIZZIIYIXZIIIIIIIIIIIIIIIIIIIIIIII': 0.05863955340699901+0i, 'ZIZZIZZIIYIYIIIIIIIIIIIIIIIIIIIIIIIII': 0-0.00000000000000016653345369377348i, 'ZIZZIZZIIYXXIIIIIIIIIIIIIIIIIIIIIIIII': -0.003988359818953312+0i, 'ZIZZIZZIIYYYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0013111264947250074+0i, 'ZIZZIZZIIYYZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0009197248503949491+0i, 'ZIZZIZZIIYZXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0007153171629876366+0i, 'ZIZZIZZIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.24174347916141453+0i, 'ZIZZIZZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.04260474193554967+0i, 'ZIZZIZZIIZIYIZIIIIIIIIIIIIIIIIIIIIIII': 0.004624697930126074+0i, 'ZIZZIZZIIZIYXIIIIIIIIIIIIIIIIIIIIIIII': -0.006883909531020928+0i, 'ZIZZIZZIIZIYZIIIIIIIIIIIIIIIIIIIIIIII': 0.04576168631235402+0i, 'ZIZZIZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 1.3095987815670718+0i, 'ZIZZIZZIIZIZIZIIIIIIIIIIIIIIIIIIIIIII': 0.16762315415299572+0i, 'ZIZZIZZIIZIZXIIIIIIIIIIIIIIIIIIIIIIII': 0.0027832027120741603+0i, 'ZIZZIZZIIZIZZIIIIIIIIIIIIIIIIIIIIIIII': 0.24862738869243545+0i, 'ZIZZIZZIIZXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0010230001481488448+0i, 'ZIZZIZZIIZXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.03937153265945753+0i, 'ZIZZIZZIIZZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0024520742319046086+0i, 'ZIZZIZZIIZZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.13699674532871325+0i, 'ZIZZIZZIXXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0017851758312223574+0i, 'ZIZZIZZIXXIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.015251288901414455+0i, 'ZIZZIZZIXYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0017851758312223574+0i, 'ZIZZIZZIXZIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004664385121536082+0i, 'ZIZZIZZIXZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.021481917359193595+0i, 'ZIZZIZZIZXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.002131654831458822+0i, 'ZIZZIZZIZXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.011300857017540786+0i, 'ZIZZIZZIZYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.002131654831458822+0i, 'ZIZZIZZIZZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.005238342528165344+0i, 'ZIZZIZZIZZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.13727790125213096+0i, 'ZIZZIZZZIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0015342142323995914+0i, 'ZIZZIZZZIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.02978246200549448+0i, 'ZIZZIZZZIYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0015342142323995914+0i, 'ZIZZIZZZIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.001276799856755393+0i, 'ZIZZIZZZIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.18148106566453154+0i, 'ZIZZZXZIXIXYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000009821165340814609+0i, 'ZIZZZXZIXIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000033006513049228165+0i, 'ZIZZZXZIXIYXIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000009821165340814609+0i, 'ZIZZZXZIXIZYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001159901719433355+0i, 'ZIZZZXZIXIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006730297739958639+0i, 'ZIZZZXZIZIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000007924300902775946+0i, 'ZIZZZXZIZIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000025857859202230357+0i, 'ZIZZZXZIZIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000007924300902775946+0i, 'ZIZZZXZIZIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000036158860189078805+0i, 'ZIZZZXZIZIZZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004331890572045071+0i, 'ZIZZZYZIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000001159901719433355+0i, 'ZIZZZYZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000036158860189078805+0i, 'ZIZZZZZIXXIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0017851758312223574+0i, 'ZIZZZZZIXXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.015251288901414455+0i, 'ZIZZZZZIXYIXIIIIIIIIIIIIIIIIIIIIIIIII': -0.0017851758312223574+0i, 'ZIZZZZZIXZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.004664385121536082+0i, 'ZIZZZZZIXZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.021481917359193595+0i, 'ZIZZZZZIZXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.00020318282248258038+0i, 'ZIZZZZZIZXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.02440793299041327+0i, 'ZIZZZZZIZYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.00020318282248258038+0i, 'ZIZZZZZIZZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.003950528800448666+0i, 'ZIZZZZZIZZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.16859960000636953+0i, 'ZXXZXIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.003988359818953311+0i, 'ZXXZXIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0026772333242283037+0i, 'ZXXZXIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.008829584070185767+0i, 'ZXXZXIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.005348984651919432+0i, 'ZXXZXIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.007909859219790817+0i, 'ZXXZXIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.010690205897448405+0i, 'ZXXZYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.007600926421688087+0i, 'ZXXZYIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.00006419934777012783+0i, 'ZXYZXIXIXIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.0013111264947250076+0i, 'ZXYZXIXIXIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.0009197248503949491+0i, 'ZXYZXIXIZIIIXIIIIIIIIIIIIIIIIIIIIIIII': -0.0022519417697686554+0i, 'ZXYZXIXIZIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.010754405245218531+0i, 'ZXZXXXIIXIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024386799089135124+0i, 'ZXZXXXIIZIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01034369846201446+0i, 'ZXZXXYIIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.002410207238878986+0i, 'ZXZXXYIIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01558904062734379+0i, 'ZXZXXZIIXYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000027710446468664605+0i, 'ZXZXXZIIZYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004726248502142025+0i, 'ZXZYXXIIXIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024386799089135124+0i, 'ZXZYXXIIXIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.002410207238878986+0i, 'ZXZYXXIIZIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01034369846201446+0i, 'ZXZYXXIIZIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01558904062734379+0i, 'ZXZYXZIIXXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000027710446468664605+0i, 'ZXZYXZIIXZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000005991892318599132+0i, 'ZXZYXZIIZXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004726248502142025+0i, 'ZXZZXXZIXIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0022644694973199754+0i, 'ZXZZXXZIXIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.012224502972950158+0i, 'ZXZZXXZIXIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0022644694973199754+0i, 'ZXZZXXZIXIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.002993118809594667+0i, 'ZXZZXXZIXIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.014553660689923637+0i, 'ZXZZXXZIZIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0034860696019765654+0i, 'ZXZZXXZIZIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'ZXZZXXZIZIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0034860696019765654+0i, 'ZXZZXXZIZIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004584959583551751+0i, 'ZXZZXXZIZIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00417227146923148+0i, 'ZXZZXYZIXIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.002993118809594667+0i, 'ZXZZXYZIZIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.004584959583551751+0i, 'ZXZZXZZIXXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007206114890338043+0i, 'ZXZZXZZIXZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001576519939186647+0i, 'ZXZZXZZIXZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000632759644065592+0i, 'ZXZZXZZIZXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000011999918999715813+0i, 'ZXZZXZZIZXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007728518362924502+0i, 'ZXZZXZZIZYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000011999918999715813+0i, 'ZXZZXZZIZZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000015605972678081312+0i, 'ZXZZXZZIZZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011270484178015994+0i, 'ZYXZXIXIYIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0013111264947250076+0i, 'ZYXZXIYIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0009197248503949491+0i, 'ZYXZYIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': 0.0022519417697686554+0i, 'ZYXZYIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.010754405245218531+0i, 'ZYYZXIXIXIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.0026772333242283037+0i, 'ZYYZXIXIYIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.003988359818953311+0i, 'ZYYZXIXIYIIIZIIIIIIIIIIIIIIIIIIIIIIII': -0.007909859219790817+0i, 'ZYYZXIXIZIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.007600926421688087+0i, 'ZYYZXIYIXIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.008829584070185767+0i, 'ZYYZXIYIZIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00006419934777012783+0i, 'ZYYZYIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.005348984651919432+0i, 'ZYYZYIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.010690205897448405+0i, 'ZYZXXXIIYIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.024386799089135124+0i, 'ZYZXXYIIYIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.002410207238878986+0i, 'ZYZXXZIIYYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000027710446468664605+0i, 'ZYZXYXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01034369846201446+0i, 'ZYZXYYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01558904062734379+0i, 'ZYZXYZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000004726248502142025+0i, 'ZYZYXXIIYIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.024386799089135124+0i, 'ZYZYXXIIYIZIIIIIIIIIIIIIIIIIIIIIIIIII': 0.002410207238878986+0i, 'ZYZYXZIIYXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000027710446468664605+0i, 'ZYZYXZIIYZIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000005991892318599132+0i, 'ZYZYYXIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01034369846201446+0i, 'ZYZYYXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01558904062734379+0i, 'ZYZYYZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000004726248502142025+0i, 'ZYZZXXZIYIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0022644694973199754+0i, 'ZYZZXXZIYIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.012224502972950158+0i, 'ZYZZXXZIYIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0022644694973199754+0i, 'ZYZZXXZIYIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.002993118809594667+0i, 'ZYZZXXZIYIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.014553660689923637+0i, 'ZYZZXYZIYIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.002993118809594667+0i, 'ZYZZXZZIYXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007206114890338043+0i, 'ZYZZXZZIYZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000001576519939186647+0i, 'ZYZZXZZIYZIZIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000632759644065592+0i, 'ZYZZYXZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0034860696019765654+0i, 'ZYZZYXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': 0.008510280512553675+0i, 'ZYZZYXZIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0034860696019765654+0i, 'ZYZZYXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.004584959583551751+0i, 'ZYZZYXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00417227146923148+0i, 'ZYZZYYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.004584959583551751+0i, 'ZYZZYZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000011999918999715813+0i, 'ZYZZYZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000007728518362924502+0i, 'ZYZZYZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000011999918999715813+0i, 'ZYZZYZZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000015605972678081312+0i, 'ZYZZYZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000011270484178015994+0i, 'ZZXZIIXIIIIIYIIIIIIIIIIIIIIIIIIIIIIII': -0.000000027042797867344305+0i, 'ZZXZIIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000000011530426358281644+0i, 'ZZYZIIXIIIIIXIIIIIIIIIIIIIIIIIIIIIIII': 0.000000027042797867344305+0i, 'ZZYZIIXIIIIIZIIIIIIIIIIIIIIIIIIIIIIII': 0.0000000011530426358281644+0i, 'ZZZXIXIIIIYIIIIIIIIIIIIIIIIIIIIIIIIII': 0.0000001919499197929779+0i, 'ZZZXIYIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000006328824523493424+0i, 'ZZZXIZIIIYIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.01710273040043527+0i, 'ZZZYIXIIIIXIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0000001919499197929779+0i, 'ZZZYIXIIIIZIIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000006328824523493424+0i, 'ZZZYIZIIIXIIIIIIIIIIIIIIIIIIIIIIIIIII': 0.01710273040043527+0i, 'ZZZYIZIIIZIIIIIIIIIIIIIIIIIIIIIIIIIII': -0.0035346515295708483+0i, 'ZZZZIXZIIIXYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000020284764022882738+0i, 'ZZZZIXZIIIXZIIIIIIIIIIIIIIIIIIIIIIIII': -0.00000010002775785646489+0i, 'ZZZZIXZIIIYXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000020284764022882738+0i, 'ZZZZIXZIIIZYIIIIIIIIIIIIIIIIIIIIIIIII': -0.000000019517876574944395+0i, 'ZZZZIXZIIIZZIIIIIIIIIIIIIIIIIIIIIIIII': 0.00000009098782231234566+0i, 'ZZZZIYZIIIIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.000000019517876574944395+0i, 'ZZZZIZZIIXIYIIIIIIIIIIIIIIIIIIIIIIIII': -0.0012428423048646698+0i, 'ZZZZIZZIIXIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.010563285704591746+0i, 'ZZZZIZZIIYIXIIIIIIIIIIIIIIIIIIIIIIIII': 0.0012428423048646698+0i, 'ZZZZIZZIIZIYIIIIIIIIIIIIIIIIIIIIIIIII': 0.0010394978280810383+0i, 'ZZZZIZZIIZIZIIIIIIIIIIIIIIIIIIIIIIIII': 0.15143077861234577+0i})