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- N: 1 0 0 0
- S: 0 0 0 1
- W: 0.707107 0 0 0.707107
- E: -0.707107 0 0 0.707107
- NW: 0.923880 0 0 0.382683
- NE: -0.923880 0 0 0.382683
- SE: -0.382683 0 0 0.923880
- SW: 0.382683 0 0 0.923880
- * Note that AC uses W X Y Z ordering for rotations
- 0 : 1 0 0 0 (N)
- 1 : 0.999962 0 0 0.008727
- 2 : 0.999848 0 0 0.017452
- 3 : 0.999657 0 0 0.026177
- 4 : 0.999391 0 0 0.034899
- 5 : 0.999048 0 0 0.043619
- 6 : 0.998630 0 0 0.052336
- 7 : 0.998135 0 0 0.061049
- 8 : 0.997564 0 0 0.069756
- 9 : 0.996917 0 0 0.078459
- 10 : 0.996195 0 0 0.087156
- 11 : 0.995396 0 0 0.095846
- 12 : 0.994522 0 0 0.104528
- 13 : 0.993572 0 0 0.113203
- 14 : 0.992546 0 0 0.121869
- 15 : 0.991445 0 0 0.130526
- 16 : 0.990268 0 0 0.139173
- 17 : 0.989016 0 0 0.147809
- 18 : 0.987688 0 0 0.156434
- 19 : 0.986286 0 0 0.165048
- 20 : 0.984808 0 0 0.173648
- 21 : 0.983255 0 0 0.182236
- 22 : 0.981627 0 0 0.190809
- 23 : 0.979925 0 0 0.199368
- 24 : 0.978148 0 0 0.207912
- 25 : 0.976296 0 0 0.216440
- 26 : 0.974370 0 0 0.224951
- 27 : 0.972370 0 0 0.233445
- 28 : 0.970296 0 0 0.241922
- 29 : 0.968148 0 0 0.250380
- 30 : 0.965926 0 0 0.258819
- 31 : 0.963630 0 0 0.267238
- 32 : 0.961262 0 0 0.275637
- 33 : 0.958820 0 0 0.284015
- 34 : 0.956305 0 0 0.292372
- 35 : 0.953717 0 0 0.300706
- 36 : 0.951057 0 0 0.309017
- 37 : 0.948324 0 0 0.317305
- 38 : 0.945519 0 0 0.325568
- 39 : 0.942641 0 0 0.333807
- 40 : 0.939693 0 0 0.342020
- 41 : 0.936672 0 0 0.350207
- 42 : 0.933581 0 0 0.358368
- 43 : 0.930418 0 0 0.366501
- 44 : 0.927184 0 0 0.374607
- 45 : 0.923880 0 0 0.382683 (NW)
- 46 : 0.920505 0 0 0.390731
- 47 : 0.917060 0 0 0.398749
- 48 : 0.913545 0 0 0.406737
- 49 : 0.909961 0 0 0.414693
- 50 : 0.906308 0 0 0.422618
- 51 : 0.902585 0 0 0.430511
- 52 : 0.898794 0 0 0.438371
- 53 : 0.894934 0 0 0.446198
- 54 : 0.891007 0 0 0.453991
- 55 : 0.887011 0 0 0.461749
- 56 : 0.882948 0 0 0.469472
- 57 : 0.878817 0 0 0.477159
- 58 : 0.874620 0 0 0.484810
- 59 : 0.870356 0 0 0.492424
- 60 : 0.866025 0 0 0.500000
- 61 : 0.861629 0 0 0.507538
- 62 : 0.857167 0 0 0.515038
- 63 : 0.852640 0 0 0.522499
- 64 : 0.848048 0 0 0.529919
- 65 : 0.843391 0 0 0.537300
- 66 : 0.838671 0 0 0.544639
- 67 : 0.833886 0 0 0.551937
- 68 : 0.829038 0 0 0.559193
- 69 : 0.824126 0 0 0.566406
- 70 : 0.819152 0 0 0.573576
- 71 : 0.814116 0 0 0.580703
- 72 : 0.809017 0 0 0.587785
- 73 : 0.803857 0 0 0.594823
- 74 : 0.798636 0 0 0.601815
- 75 : 0.793353 0 0 0.608761
- 76 : 0.788011 0 0 0.615662
- 77 : 0.782608 0 0 0.622515
- 78 : 0.777146 0 0 0.629320
- 79 : 0.771625 0 0 0.636078
- 80 : 0.766045 0 0 0.642788
- 81 : 0.760406 0 0 0.649448
- 82 : 0.754710 0 0 0.656059
- 83 : 0.748956 0 0 0.662620
- 84 : 0.743145 0 0 0.669131
- 85 : 0.737277 0 0 0.675590
- 86 : 0.731354 0 0 0.681998
- 87 : 0.725374 0 0 0.688355
- 88 : 0.719340 0 0 0.694658
- 89 : 0.713250 0 0 0.700909
- 90 : 0.707107 0 0 0.707107 (W)
- 91 : 0.700909 0 0 0.713250
- 92 : 0.694658 0 0 0.719340
- 93 : 0.688355 0 0 0.725374
- 94 : 0.681998 0 0 0.731354
- 95 : 0.675590 0 0 0.737277
- 96 : 0.669131 0 0 0.743145
- 97 : 0.662620 0 0 0.748956
- 98 : 0.656059 0 0 0.754710
- 99 : 0.649448 0 0 0.760406
- 100: 0.642788 0 0 0.766044
- 101: 0.636078 0 0 0.771625
- 102: 0.629320 0 0 0.777146
- 103: 0.622515 0 0 0.782608
- 104: 0.615662 0 0 0.788011
- 105: 0.608761 0 0 0.793353
- 106: 0.601815 0 0 0.798636
- 107: 0.594823 0 0 0.803857
- 108: 0.587785 0 0 0.809017
- 109: 0.580703 0 0 0.814116
- 110: 0.573576 0 0 0.819152
- 111: 0.566406 0 0 0.824126
- 112: 0.559193 0 0 0.829038
- 113: 0.551937 0 0 0.833886
- 114: 0.544639 0 0 0.838671
- 115: 0.537300 0 0 0.843391
- 116: 0.529919 0 0 0.848048
- 117: 0.522498 0 0 0.852640
- 118: 0.515038 0 0 0.857167
- 119: 0.507538 0 0 0.861629
- 120: 0.500000 0 0 0.866025
- 121: 0.492424 0 0 0.870356
- 122: 0.484810 0 0 0.874620
- 123: 0.477159 0 0 0.878817
- 124: 0.469472 0 0 0.882948
- 125: 0.461749 0 0 0.887011
- 126: 0.453991 0 0 0.891007
- 127: 0.446198 0 0 0.894934
- 128: 0.438371 0 0 0.898794
- 129: 0.430511 0 0 0.902585
- 130: 0.422618 0 0 0.906308
- 131: 0.414693 0 0 0.909961
- 132: 0.406737 0 0 0.913545
- 133: 0.398749 0 0 0.917060
- 134: 0.390731 0 0 0.920505
- 135: 0.382683 0 0 0.923880 (SW)
- 136: 0.374607 0 0 0.927184
- 137: 0.366501 0 0 0.930418
- 138: 0.358368 0 0 0.933580
- 139: 0.350207 0 0 0.936672
- 140: 0.342020 0 0 0.939693
- 141: 0.333807 0 0 0.942641
- 142: 0.325568 0 0 0.945519
- 143: 0.317305 0 0 0.948324
- 144: 0.309017 0 0 0.951057
- 145: 0.300706 0 0 0.953717
- 146: 0.292372 0 0 0.956305
- 147: 0.284015 0 0 0.958820
- 148: 0.275637 0 0 0.961262
- 149: 0.267238 0 0 0.963631
- 150: 0.258819 0 0 0.965926
- 151: 0.250380 0 0 0.968148
- 152: 0.241922 0 0 0.970296
- 153: 0.233445 0 0 0.972370
- 154: 0.224951 0 0 0.974370
- 155: 0.216440 0 0 0.976296
- 156: 0.207912 0 0 0.978148
- 157: 0.199368 0 0 0.979925
- 158: 0.190809 0 0 0.981627
- 159: 0.182236 0 0 0.983255
- 160: 0.173648 0 0 0.984808
- 161: 0.165048 0 0 0.986286
- 162: 0.156434 0 0 0.987688
- 163: 0.147809 0 0 0.989016
- 164: 0.139173 0 0 0.990268
- 165: 0.130526 0 0 0.991445
- 166: 0.121869 0 0 0.992546
- 167: 0.113203 0 0 0.993572
- 168: 0.104528 0 0 0.994522
- 169: 0.095846 0 0 0.995396
- 170: 0.087156 0 0 0.996195
- 171: 0.078459 0 0 0.996917
- 172: 0.069757 0 0 0.997564
- 173: 0.061049 0 0 0.998135
- 174: 0.052336 0 0 0.998630
- 175: 0.043619 0 0 0.999048
- 176: 0.034899 0 0 0.999391
- 177: 0.026177 0 0 0.999657
- 178: 0.017452 0 0 0.999848
- 179: 0.008727 0 0 0.999962
- 180: 0 0 0 1 (S)
- 181: -0.008727 0 0 0.999962
- 182: -0.017452 0 0 0.999848
- 183: -0.026177 0 0 0.999657
- 184: -0.034899 0 0 0.999391
- 185: -0.043619 0 0 0.999048
- 186: -0.052336 0 0 0.998630
- 187: -0.061049 0 0 0.998135
- 188: -0.069756 0 0 0.997564
- 189: -0.078459 0 0 0.996917
- 190: -0.087156 0 0 0.996195
- 191: -0.095846 0 0 0.995396
- 192: -0.104529 0 0 0.994522
- 193: -0.113203 0 0 0.993572
- 194: -0.121869 0 0 0.992546
- 195: -0.130526 0 0 0.991445
- 196: -0.139173 0 0 0.990268
- 197: -0.147809 0 0 0.989016
- 198: -0.156434 0 0 0.987688
- 199: -0.165048 0 0 0.986286
- 200: -0.173648 0 0 0.984808
- 201: -0.182235 0 0 0.983255
- 202: -0.190809 0 0 0.981627
- 203: -0.199368 0 0 0.979925
- 204: -0.207912 0 0 0.978148
- 205: -0.216440 0 0 0.976296
- 206: -0.224951 0 0 0.974370
- 207: -0.233445 0 0 0.972370
- 208: -0.241922 0 0 0.970296
- 209: -0.250380 0 0 0.968148
- 210: -0.258819 0 0 0.965926
- 211: -0.267238 0 0 0.963630
- 212: -0.275637 0 0 0.961262
- 213: -0.284015 0 0 0.958820
- 214: -0.292372 0 0 0.956305
- 215: -0.300706 0 0 0.953717
- 216: -0.309017 0 0 0.951057
- 217: -0.317305 0 0 0.948324
- 218: -0.325568 0 0 0.945519
- 219: -0.333807 0 0 0.942641
- 220: -0.342020 0 0 0.939693
- 221: -0.350207 0 0 0.936672
- 222: -0.358368 0 0 0.933580
- 223: -0.366501 0 0 0.930418
- 224: -0.374607 0 0 0.927184
- 225: -0.382683 0 0 0.923880 (SE)
- 226: -0.390731 0 0 0.920505
- 227: -0.398749 0 0 0.917060
- 228: -0.406737 0 0 0.913545
- 229: -0.414693 0 0 0.909961
- 230: -0.422618 0 0 0.906308
- 231: -0.430511 0 0 0.902585
- 232: -0.438371 0 0 0.898794
- 233: -0.446198 0 0 0.894934
- 234: -0.453991 0 0 0.891006
- 235: -0.461749 0 0 0.887011
- 236: -0.469472 0 0 0.882948
- 237: -0.477159 0 0 0.878817
- 238: -0.484810 0 0 0.874620
- 239: -0.492424 0 0 0.870356
- 240: -0.500000 0 0 0.866025
- 241: -0.507538 0 0 0.861629
- 242: -0.515038 0 0 0.857167
- 243: -0.522498 0 0 0.852640
- 244: -0.529919 0 0 0.848048
- 245: -0.537300 0 0 0.843391
- 246: -0.544639 0 0 0.838671
- 247: -0.551937 0 0 0.833886
- 248: -0.559193 0 0 0.829038
- 249: -0.566406 0 0 0.824126
- 250: -0.573576 0 0 0.819152
- 251: -0.580703 0 0 0.814116
- 252: -0.587785 0 0 0.809017
- 253: -0.594823 0 0 0.803857
- 254: -0.601815 0 0 0.798635
- 255: -0.608761 0 0 0.793353
- 256: -0.615661 0 0 0.788011
- 257: -0.622515 0 0 0.782608
- 258: -0.629320 0 0 0.777146
- 259: -0.636078 0 0 0.771625
- 260: -0.642788 0 0 0.766044
- 261: -0.649448 0 0 0.760406
- 262: -0.656059 0 0 0.754710
- 263: -0.662620 0 0 0.748956
- 264: -0.669131 0 0 0.743145
- 265: -0.675590 0 0 0.737277
- 266: -0.681998 0 0 0.731354
- 267: -0.688355 0 0 0.725374
- 268: -0.694658 0 0 0.719340
- 269: -0.700909 0 0 0.713250
- 270: -0.707107 0 0 0.707107 (E)
- 271: -0.713250 0 0 0.700909
- 272: -0.719340 0 0 0.694658
- 273: -0.725374 0 0 0.688354
- 274: -0.731354 0 0 0.681998
- 275: -0.737277 0 0 0.675590
- 276: -0.743145 0 0 0.669131
- 277: -0.748956 0 0 0.662620
- 278: -0.754710 0 0 0.656059
- 279: -0.760406 0 0 0.649448
- 280: -0.766044 0 0 0.642788
- 281: -0.771625 0 0 0.636078
- 282: -0.777146 0 0 0.629321
- 283: -0.782608 0 0 0.622515
- 284: -0.788011 0 0 0.615661
- 285: -0.793353 0 0 0.608761
- 286: -0.798635 0 0 0.601815
- 287: -0.803857 0 0 0.594823
- 288: -0.809017 0 0 0.587785
- 289: -0.814116 0 0 0.580703
- 290: -0.819152 0 0 0.573576
- 291: -0.824126 0 0 0.566406
- 292: -0.829038 0 0 0.559193
- 293: -0.833886 0 0 0.551937
- 294: -0.838671 0 0 0.544639
- 295: -0.843391 0 0 0.537300
- 296: -0.848048 0 0 0.529919
- 297: -0.852640 0 0 0.522498
- 298: -0.857167 0 0 0.515038
- 299: -0.861629 0 0 0.507538
- 300: -0.866025 0 0 0.500000
- 301: -0.870356 0 0 0.492424
- 302: -0.874620 0 0 0.484810
- 303: -0.878817 0 0 0.477159
- 304: -0.882948 0 0 0.469472
- 305: -0.887011 0 0 0.461749
- 306: -0.891007 0 0 0.453991
- 307: -0.894934 0 0 0.446198
- 308: -0.898794 0 0 0.438371
- 309: -0.902585 0 0 0.430511
- 310: -0.906308 0 0 0.422618
- 311: -0.909961 0 0 0.414693
- 312: -0.913545 0 0 0.406737
- 313: -0.917060 0 0 0.398749
- 314: -0.920505 0 0 0.390731
- 315: -0.923880 0 0 0.382683 (NE)
- 316: -0.927184 0 0 0.374606
- 317: -0.930418 0 0 0.366501
- 318: -0.933580 0 0 0.358368
- 319: -0.936672 0 0 0.350207
- 320: -0.939693 0 0 0.342020
- 321: -0.942642 0 0 0.333807
- 322: -0.945519 0 0 0.325568
- 323: -0.948324 0 0 0.317305
- 324: -0.951057 0 0 0.309017
- 325: -0.953717 0 0 0.300706
- 326: -0.956305 0 0 0.292372
- 327: -0.958820 0 0 0.284015
- 328: -0.961262 0 0 0.275637
- 329: -0.963630 0 0 0.267238
- 330: -0.965926 0 0 0.258819
- 331: -0.968148 0 0 0.250380
- 332: -0.970296 0 0 0.241922
- 333: -0.972370 0 0 0.233445
- 334: -0.974370 0 0 0.224951
- 335: -0.976296 0 0 0.216440
- 336: -0.978148 0 0 0.207912
- 337: -0.979925 0 0 0.199368
- 338: -0.981627 0 0 0.190809
- 339: -0.983255 0 0 0.182236
- 340: -0.984808 0 0 0.173648
- 341: -0.986286 0 0 0.165048
- 342: -0.987688 0 0 0.156434
- 343: -0.989016 0 0 0.147809
- 344: -0.990268 0 0 0.139173
- 345: -0.991445 0 0 0.130526
- 346: -0.992546 0 0 0.121869
- 347: -0.993572 0 0 0.113203
- 348: -0.994522 0 0 0.104528
- 349: -0.995396 0 0 0.095846
- 350: -0.996195 0 0 0.087156
- 351: -0.996917 0 0 0.078459
- 352: -0.997564 0 0 0.069756
- 353: -0.998135 0 0 0.061049
- 354: -0.998630 0 0 0.052336
- 355: -0.999048 0 0 0.043619
- 356: -0.999391 0 0 0.034899
- 357: -0.999657 0 0 0.026177
- 358: -0.999848 0 0 0.017452
- 359: -0.999962 0 0 0.008727
- 360: -1 0 0 0 (N)
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