Paper XI: Packets, Arithmetic Realization, and Conditional Comparison

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1 {
2   "orbit_counts": {
3     "2": [
4       1,
5       1,
6       2,
7       3,
8       6,
9       9,
10       18,
11       30
12     ],
13     "3": [
14       2,
15       3,
16       8,
17       18,
18       48,
19       116,
20       312,
21       810
22     ],
23     "5": [
24       4,
25       10,
26       40,
27       150,
28       624,
29       2580,
30       11160,
31       48750
32     ]
33   },
34   "tensor_4_6": [
35     [
36       0,
37       1,
38       0,
39       1,
40       0,
41       1
42     ],
43     [
44       1,
45       0,
46       1,
47       0,
48       1,
49       0
50     ],
51     [
52       0,
53       1,
54       0,
55       1,
56       0,
57       1
58     ],
59     [
60       1,
61       0,
62       1,
63       0,
64       1,
65       0
66     ]
67   ],
68   "quadratic_planes": [
69     {
70       "x": 0,
71       "y": 0,
72       "q0": 0,
73       "q1": 0
74     },
75     {
76       "x": 1,
77       "y": 0,
78       "q0": 0,
79       "q1": 1
80     },
81     {
82       "x": 0,
83       "y": 1,
84       "q0": 0,
85       "q1": 1
86     },
87     {
88       "x": 1,
89       "y": 1,
90       "q0": 1,
91       "q1": 1
92     }
93   ],
94   "arf_counts": [
95     {
96       "r": 1,
97       "zero": 3,
98       "one": 1
99     },
100     {
101       "r": 2,
102       "zero": 10,
103       "one": 6
104     },
105     {
106       "r": 3,
107       "zero": 36,
108       "one": 28
109     },
110     {
111       "r": 4,
112       "zero": 136,
113       "one": 120
114     },
115     {
116       "r": 5,
117       "zero": 528,
118       "one": 496
119     }
120   ],
121   "levels": {
122     "dyadic": [
123       60,
124       18,
125       3
126     ],
127     "odd_p3": [
128       144,
129       24,
130       4
131     ]
132   },
133   "dyadic_capacity": [
134     {
135       "d": 1,
136       "rank": 2,
137       "host_symplectic": 0,
138       "source_symplectic": 2,
139       "host_carrier": 1,
140       "source_carrier": 2
141     },
142     {
143       "d": 2,
144       "rank": 4,
145       "host_symplectic": 2,
146       "source_symplectic": 4,
147       "host_carrier": 2,
148       "source_carrier": 4
149     },
150     {
151       "d": 3,
152       "rank": 8,
153       "host_symplectic": 6,
154       "source_symplectic": 6,
155       "host_carrier": 8,
156       "source_carrier": 8
157     },
158     {
159       "d": 4,
160       "rank": 16,
161       "host_symplectic": 14,
162       "source_symplectic": 8,
163       "host_carrier": 128,
164       "source_carrier": 16
165     },
166     {
167       "d": 5,
168       "rank": 32,
169       "host_symplectic": 30,
170       "source_symplectic": 10,
171       "host_carrier": 32768,
172       "source_carrier": 32
173     }
174   ]
175 }

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