8585# @Zhu's group at U. North Carolina at Charlotte #
8686#############################################################
8787"""
88+
89+ # Asymmetric unit bounds for 230 space groups
90+ # Format: space_group_number x_min x_max y_min y_max z_min z_max
91+ ASU = np .array ([
92+ [ 0 , 1 , 0 , 1 , 0 , 1 ], # SG 1
93+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 ], # SG 2
94+ [ 0 , 1 , 0 , 1 , 0 , 1 / 2 ], # SG 3
95+ [ 0 , 1 , 0 , 1 , 0 , 1 / 2 ], # SG 4
96+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 5
97+ [ 0 , 1 , 0 , 1 / 2 , 0 , 1 ], # SG 6
98+ [ 0 , 1 , 0 , 1 / 2 , 0 , 1 ], # SG 7
99+ [ 0 , 1 , 0 , 1 / 4 , 0 , 1 ], # SG 8
100+ [ 0 , 1 , 0 , 1 / 4 , 0 , 1 ], # SG 9
101+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 10
102+ [ 0 , 1 , 0 , 1 / 4 , 0 , 1 ], # SG 11
103+ [ 0 , 1 / 2 , 0 , 1 / 4 , 0 , 1 ], # SG 12
104+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 2 ], # SG 13
105+ [ 0 , 1 , 0 , 1 / 4 , 0 , 1 ], # SG 14
106+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 15
107+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 16
108+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 17
109+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 18
110+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 19
111+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 20
112+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 ], # SG 21
113+ [ 0 , 1 / 4 , 0 , 1 / 4 , 0 , 1 ], # SG 22
114+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 23
115+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 24
116+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 25
117+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 26
118+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 27
119+ [ 0 , 1 / 4 , 0 , 1 , 0 , 1 ], # SG 28
120+ [ 0 , 1 / 4 , 0 , 1 , 0 , 1 ], # SG 29
121+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 2 ], # SG 30
122+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 31
123+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 32
124+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 33
125+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 34
126+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 ], # SG 35
127+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 36
128+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 ], # SG 37
129+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 38
130+ [ 0 , 1 / 2 , 0 , 1 / 4 , 0 , 1 ], # SG 39
131+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 ], # SG 40
132+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 41
133+ [ 0 , 1 / 4 , 0 , 1 / 4 , 0 , 1 ], # SG 42
134+ [ 0 , 1 / 4 , 0 , 1 / 4 , 0 , 1 ], # SG 43
135+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 44
136+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 45
137+ [ 0 , 1 / 4 , 0 , 1 , 0 , 1 / 2 ], # SG 46
138+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 47
139+ [ 0 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 ], # SG 48
140+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 49
141+ [ 0 , 1 / 4 , 0 , 1 , 0 , 1 / 2 ], # SG 50
142+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 ], # SG 51
143+ [ 0 , 1 , 0 , 1 / 4 , 0 , 1 / 2 ], # SG 52
144+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 4 ], # SG 53
145+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 54
146+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 55
147+ [ 0 , 1 / 4 , 0 , 1 , 0 , 1 / 2 ], # SG 56
148+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 4 ], # SG 57
149+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 58
150+ [ 0 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 ], # SG 59
151+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 60
152+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 61
153+ [ 0 , 1 / 2 , 0 , 1 / 4 , 0 , 1 ], # SG 62
154+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 63
155+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 64
156+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 65
157+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 66
158+ [ 0 , 1 / 2 , 0 , 1 / 4 , 0 , 1 / 2 ], # SG 67
159+ [ 0 , 1 / 2 , 0 , 1 / 4 , 0 , 1 / 2 ], # SG 68
160+ [ 0 , 1 / 4 , 0 , 1 / 4 , 0 , 1 / 2 ], # SG 69
161+ [ 0 , 1 / 8 , - 1 / 8 , 1 / 8 , 0 , 1 ], # SG 70
162+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 71
163+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 72
164+ [ 0 , 1 / 4 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 73
165+ [ 0 , 1 / 4 , 0 , 1 / 4 , 0 , 1 ], # SG 74
166+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 75
167+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 76
168+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 77
169+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 78
170+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 79
171+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 4 ], # SG 80
172+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 81
173+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 82
174+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 83
175+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 84
176+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 2 ], # SG 85
177+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 2 ], # SG 86
178+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 87
179+ [ 0 , 1 / 4 , 0 , 1 / 4 , 0 , 1 ], # SG 88
180+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 89
181+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 90
182+ [ 0 , 1 , 0 , 1 , 0 , 1 / 8 ], # SG 91
183+ [ 0 , 1 , 0 , 1 , 0 , 1 / 8 ], # SG 92
184+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 4 ], # SG 93
185+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 94
186+ [ 0 , 1 , 0 , 1 , 0 , 1 / 8 ], # SG 95
187+ [ 0 , 1 , 0 , 1 , 0 , 1 / 8 ], # SG 96
188+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 97
189+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 8 ], # SG 98
190+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 99
191+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 100
192+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 101
193+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 102
194+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 103
195+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 104
196+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 105
197+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 106
198+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 107
199+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 108
200+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 109
201+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 110
202+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 111
203+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 112
204+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 ], # SG 113
205+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 114
206+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 115
207+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 4 ], # SG 116
208+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 117
209+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 4 ], # SG 118
210+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 119
211+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 120
212+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 121
213+ [ 0 , 1 / 2 , 0 , 1 , 0 , 1 / 8 ], # SG 122
214+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 123
215+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 124
216+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 2 ], # SG 125
217+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 4 ], # SG 126
218+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 127
219+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 128
220+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 2 ], # SG 129
221+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 4 ], # SG 130
222+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 131
223+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 132
224+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 4 ], # SG 133
225+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 2 ], # SG 134
226+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 135
227+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 136
228+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 4 ], # SG 137
229+ [ - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 , 0 , 1 / 2 ], # SG 138
230+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 139
231+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 140
232+ [ 0 , 1 / 2 , - 1 / 4 , 1 / 4 , 0 , 1 / 8 ], # SG 141
233+ [ 0 , 1 / 2 , - 1 / 4 , 1 / 4 , 0 , 1 / 8 ], # SG 142
234+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 ], # SG 143
235+ [ 0 , 1 , 0 , 1 , 0 , 1 / 3 ], # SG 144
236+ [ 0 , 1 , 0 , 1 , 0 , 1 / 3 ], # SG 145
237+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 3 ], # SG 146
238+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 2 ], # SG 147
239+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 6 ], # SG 148
240+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 2 ], # SG 149
241+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 2 ], # SG 150
242+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 151
243+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 152
244+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 153
245+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 154
246+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 6 ], # SG 155
247+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 ], # SG 156
248+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 ], # SG 157
249+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 2 ], # SG 158
250+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 2 ], # SG 159
251+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 3 ], # SG 160
252+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 6 ], # SG 161
253+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 162
254+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 4 ], # SG 163
255+ [ 0 , 2 / 3 , 0 , 1 / 3 , 0 , 1 ], # SG 164
256+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 4 ], # SG 165
257+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 6 ], # SG 166
258+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 12 ], # SG 167
259+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 ], # SG 168
260+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 169
261+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 170
262+ [ 0 , 1 , 0 , 1 , 0 , 1 / 3 ], # SG 171
263+ [ 0 , 1 , 0 , 1 , 0 , 1 / 3 ], # SG 172
264+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 2 ], # SG 173
265+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 2 ], # SG 174
266+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 175
267+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 4 ], # SG 176
268+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 177
269+ [ 0 , 1 , 0 , 1 , 0 , 1 / 12 ], # SG 178
270+ [ 0 , 1 , 0 , 1 , 0 , 1 / 12 ], # SG 179
271+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 180
272+ [ 0 , 1 , 0 , 1 , 0 , 1 / 6 ], # SG 181
273+ [ 0 , 2 / 3 , 0 , 2 / 3 , 0 , 1 / 4 ], # SG 182
274+ [ 0 , 2 / 3 , 0 , 1 / 3 , 0 , 1 ], # SG 183
275+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 184
276+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 185
277+ [ 0 , 2 / 3 , 0 , 1 / 3 , 0 , 1 ], # SG 186
278+ [ 0 , 2 / 3 , 0 , 2 , 0 , 1 / 2 ], # SG 187
279+ [ 0 , 2 / 3 , 0 , 2 , 0 , 1 / 4 ], # SG 188
280+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 189
281+ [ 0 , 2 / 3 , 0 , 2 , 0 , 1 / 4 ], # SG 190
282+ [ 0 , 2 / 3 , 0 , 1 / 3 , 0 , 1 / 2 ], # SG 191
283+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 192
284+ [ 0 , 2 / 3 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 193
285+ [ 0 , 2 / 3 , 0 , 2 , 0 , 1 / 4 ], # SG 194
286+ [ 0 , 1 , 0 , 1 , 0 , 1 / 2 ], # SG 195
287+ [ 0 , 1 / 2 , 0 , 1 / 2 , - 1 / 4 , 1 / 4 ], # SG 196
288+ [ 0 , 1 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 197
289+ [ 0 , 1 / 2 , 0 , 1 / 2 , - 1 / 2 , 1 / 2 ], # SG 198
290+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 199
291+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 200
292+ [ - 1 / 4 , 3 / 4 , - 1 / 4 , 1 / 4 , - 1 / 4 , 1 / 4 ], # SG 201
293+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 202
294+ [ - 1 / 8 , 3 / 8 , - 1 / 8 , 1 / 8 , - 3 / 8 , 1 / 8 ], # SG 203
295+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 204
296+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 205
297+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 206
298+ [ 0 , 1 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 207
299+ [ 0 , 1 / 2 , 0 , 1 / 2 , - 1 / 4 , 1 / 4 ], # SG 208
300+ [ 0 , 1 / 2 , 0 , 1 / 4 , - 1 / 4 , 1 / 4 ], # SG 209
301+ [ 0 , 1 / 2 , - 1 / 8 , 1 / 8 , - 1 / 8 , 1 / 8 ], # SG 210
302+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 211
303+ [ 0 , 1 / 2 , 0 , 3 , - 1 / 2 , 1 / 4 ], # SG 212
304+ [ - 1 / 4 , 1 / 2 , 0 , 3 , 0 , 1 / 2 ], # SG 213
305+ [ - 3 / 8 , 1 / 8 , - 1 / 8 , 1 / 8 , - 1 / 8 , 3 / 8 ], # SG 214
306+ [ 0 , 1 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 215
307+ [ 0 , 1 / 2 , 0 , 1 / 4 , - 1 / 4 , 1 / 4 ], # SG 216
308+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 217
309+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 218
310+ [ 0 , 1 / 2 , 0 , 1 / 4 , - 1 / 4 , 1 / 4 ], # SG 219
311+ [ 1 / 4 , 1 / 2 , 1 / 4 , 1 / 2 , 0 , 1 / 2 ], # SG 220
312+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 2 ], # SG 221
313+ [ 1 / 4 , 3 / 4 , 1 / 4 , 3 , 1 / 4 , 3 / 4 ], # SG 222
314+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 223
315+ [ 1 / 4 , 3 , 1 / 4 , 3 , 0 , 1 / 2 ], # SG 224
316+ [ 0 , 1 / 2 , 0 , 1 / 4 , 0 , 1 / 4 ], # SG 225
317+ [ 0 , 1 / 2 , 0 , 1 / 4 , 0 , 1 / 4 ], # SG 226
318+ [ - 1 / 8 , 3 / 8 , - 1 / 8 , 0 , - 1 / 4 , 0 ], # SG 227
319+ [ - 1 / 8 , 3 / 8 , - 1 / 8 , 0 , - 1 / 4 , 0 ], # SG 228
320+ [ 0 , 1 / 2 , 0 , 1 / 2 , 0 , 1 / 4 ], # SG 229
321+ [ - 1 / 8 , 1 / 8 , - 1 / 8 , 1 / 8 , 0 , 1 / 4 ], # SG 230
322+ ])
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