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1.1 ! root 1: // table of quotients and remainders for [-15...16] / [-15...16] ! 2: ! 3: // numerator = -15 ! 4: {1, 0}, ! 5: {1, -1}, ! 6: {1, -2}, ! 7: {1, -3}, ! 8: {1, -4}, ! 9: {1, -5}, ! 10: {1, -6}, ! 11: {1, -7}, ! 12: {2, -1}, ! 13: {2, -3}, ! 14: {3, 0}, ! 15: {3, -3}, ! 16: {5, 0}, ! 17: {7, -1}, ! 18: {15, 0}, ! 19: {0, 0}, ! 20: {-15, 0}, ! 21: {-8, 1}, ! 22: {-5, 0}, ! 23: {-4, 1}, ! 24: {-3, 0}, ! 25: {-3, 3}, ! 26: {-3, 6}, ! 27: {-2, 1}, ! 28: {-2, 3}, ! 29: {-2, 5}, ! 30: {-2, 7}, ! 31: {-2, 9}, ! 32: {-2, 11}, ! 33: {-2, 13}, ! 34: {-1, 0}, ! 35: {-1, 1}, ! 36: // numerator = -14 ! 37: {0, -14}, ! 38: {1, 0}, ! 39: {1, -1}, ! 40: {1, -2}, ! 41: {1, -3}, ! 42: {1, -4}, ! 43: {1, -5}, ! 44: {1, -6}, ! 45: {2, 0}, ! 46: {2, -2}, ! 47: {2, -4}, ! 48: {3, -2}, ! 49: {4, -2}, ! 50: {7, 0}, ! 51: {14, 0}, ! 52: {0, 0}, ! 53: {-14, 0}, ! 54: {-7, 0}, ! 55: {-5, 1}, ! 56: {-4, 2}, ! 57: {-3, 1}, ! 58: {-3, 4}, ! 59: {-2, 0}, ! 60: {-2, 2}, ! 61: {-2, 4}, ! 62: {-2, 6}, ! 63: {-2, 8}, ! 64: {-2, 10}, ! 65: {-2, 12}, ! 66: {-1, 0}, ! 67: {-1, 1}, ! 68: {-1, 2}, ! 69: // numerator = -13 ! 70: {0, -13}, ! 71: {0, -13}, ! 72: {1, 0}, ! 73: {1, -1}, ! 74: {1, -2}, ! 75: {1, -3}, ! 76: {1, -4}, ! 77: {1, -5}, ! 78: {1, -6}, ! 79: {2, -1}, ! 80: {2, -3}, ! 81: {3, -1}, ! 82: {4, -1}, ! 83: {6, -1}, ! 84: {13, 0}, ! 85: {0, 0}, ! 86: {-13, 0}, ! 87: {-7, 1}, ! 88: {-5, 2}, ! 89: {-4, 3}, ! 90: {-3, 2}, ! 91: {-3, 5}, ! 92: {-2, 1}, ! 93: {-2, 3}, ! 94: {-2, 5}, ! 95: {-2, 7}, ! 96: {-2, 9}, ! 97: {-2, 11}, ! 98: {-1, 0}, ! 99: {-1, 1}, ! 100: {-1, 2}, ! 101: {-1, 3}, ! 102: // numerator = -12 ! 103: {0, -12}, ! 104: {0, -12}, ! 105: {0, -12}, ! 106: {1, 0}, ! 107: {1, -1}, ! 108: {1, -2}, ! 109: {1, -3}, ! 110: {1, -4}, ! 111: {1, -5}, ! 112: {2, 0}, ! 113: {2, -2}, ! 114: {3, 0}, ! 115: {4, 0}, ! 116: {6, 0}, ! 117: {12, 0}, ! 118: {0, 0}, ! 119: {-12, 0}, ! 120: {-6, 0}, ! 121: {-4, 0}, ! 122: {-3, 0}, ! 123: {-3, 3}, ! 124: {-2, 0}, ! 125: {-2, 2}, ! 126: {-2, 4}, ! 127: {-2, 6}, ! 128: {-2, 8}, ! 129: {-2, 10}, ! 130: {-1, 0}, ! 131: {-1, 1}, ! 132: {-1, 2}, ! 133: {-1, 3}, ! 134: {-1, 4}, ! 135: // numerator = -11 ! 136: {0, -11}, ! 137: {0, -11}, ! 138: {0, -11}, ! 139: {0, -11}, ! 140: {1, 0}, ! 141: {1, -1}, ! 142: {1, -2}, ! 143: {1, -3}, ! 144: {1, -4}, ! 145: {1, -5}, ! 146: {2, -1}, ! 147: {2, -3}, ! 148: {3, -2}, ! 149: {5, -1}, ! 150: {11, 0}, ! 151: {0, 0}, ! 152: {-11, 0}, ! 153: {-6, 1}, ! 154: {-4, 1}, ! 155: {-3, 1}, ! 156: {-3, 4}, ! 157: {-2, 1}, ! 158: {-2, 3}, ! 159: {-2, 5}, ! 160: {-2, 7}, ! 161: {-2, 9}, ! 162: {-1, 0}, ! 163: {-1, 1}, ! 164: {-1, 2}, ! 165: {-1, 3}, ! 166: {-1, 4}, ! 167: {-1, 5}, ! 168: // numerator = -10 ! 169: {0, -10}, ! 170: {0, -10}, ! 171: {0, -10}, ! 172: {0, -10}, ! 173: {0, -10}, ! 174: {1, 0}, ! 175: {1, -1}, ! 176: {1, -2}, ! 177: {1, -3}, ! 178: {1, -4}, ! 179: {2, 0}, ! 180: {2, -2}, ! 181: {3, -1}, ! 182: {5, 0}, ! 183: {10, 0}, ! 184: {0, 0}, ! 185: {-10, 0}, ! 186: {-5, 0}, ! 187: {-4, 2}, ! 188: {-3, 2}, ! 189: {-2, 0}, ! 190: {-2, 2}, ! 191: {-2, 4}, ! 192: {-2, 6}, ! 193: {-2, 8}, ! 194: {-1, 0}, ! 195: {-1, 1}, ! 196: {-1, 2}, ! 197: {-1, 3}, ! 198: {-1, 4}, ! 199: {-1, 5}, ! 200: {-1, 6}, ! 201: // numerator = -9 ! 202: {0, -9}, ! 203: {0, -9}, ! 204: {0, -9}, ! 205: {0, -9}, ! 206: {0, -9}, ! 207: {0, -9}, ! 208: {1, 0}, ! 209: {1, -1}, ! 210: {1, -2}, ! 211: {1, -3}, ! 212: {1, -4}, ! 213: {2, -1}, ! 214: {3, 0}, ! 215: {4, -1}, ! 216: {9, 0}, ! 217: {0, 0}, ! 218: {-9, 0}, ! 219: {-5, 1}, ! 220: {-3, 0}, ! 221: {-3, 3}, ! 222: {-2, 1}, ! 223: {-2, 3}, ! 224: {-2, 5}, ! 225: {-2, 7}, ! 226: {-1, 0}, ! 227: {-1, 1}, ! 228: {-1, 2}, ! 229: {-1, 3}, ! 230: {-1, 4}, ! 231: {-1, 5}, ! 232: {-1, 6}, ! 233: {-1, 7}, ! 234: // numerator = -8 ! 235: {0, -8}, ! 236: {0, -8}, ! 237: {0, -8}, ! 238: {0, -8}, ! 239: {0, -8}, ! 240: {0, -8}, ! 241: {0, -8}, ! 242: {1, 0}, ! 243: {1, -1}, ! 244: {1, -2}, ! 245: {1, -3}, ! 246: {2, 0}, ! 247: {2, -2}, ! 248: {4, 0}, ! 249: {8, 0}, ! 250: {0, 0}, ! 251: {-8, 0}, ! 252: {-4, 0}, ! 253: {-3, 1}, ! 254: {-2, 0}, ! 255: {-2, 2}, ! 256: {-2, 4}, ! 257: {-2, 6}, ! 258: {-1, 0}, ! 259: {-1, 1}, ! 260: {-1, 2}, ! 261: {-1, 3}, ! 262: {-1, 4}, ! 263: {-1, 5}, ! 264: {-1, 6}, ! 265: {-1, 7}, ! 266: {-1, 8}, ! 267: // numerator = -7 ! 268: {0, -7}, ! 269: {0, -7}, ! 270: {0, -7}, ! 271: {0, -7}, ! 272: {0, -7}, ! 273: {0, -7}, ! 274: {0, -7}, ! 275: {0, -7}, ! 276: {1, 0}, ! 277: {1, -1}, ! 278: {1, -2}, ! 279: {1, -3}, ! 280: {2, -1}, ! 281: {3, -1}, ! 282: {7, 0}, ! 283: {0, 0}, ! 284: {-7, 0}, ! 285: {-4, 1}, ! 286: {-3, 2}, ! 287: {-2, 1}, ! 288: {-2, 3}, ! 289: {-2, 5}, ! 290: {-1, 0}, ! 291: {-1, 1}, ! 292: {-1, 2}, ! 293: {-1, 3}, ! 294: {-1, 4}, ! 295: {-1, 5}, ! 296: {-1, 6}, ! 297: {-1, 7}, ! 298: {-1, 8}, ! 299: {-1, 9}, ! 300: // numerator = -6 ! 301: {0, -6}, ! 302: {0, -6}, ! 303: {0, -6}, ! 304: {0, -6}, ! 305: {0, -6}, ! 306: {0, -6}, ! 307: {0, -6}, ! 308: {0, -6}, ! 309: {0, -6}, ! 310: {1, 0}, ! 311: {1, -1}, ! 312: {1, -2}, ! 313: {2, 0}, ! 314: {3, 0}, ! 315: {6, 0}, ! 316: {0, 0}, ! 317: {-6, 0}, ! 318: {-3, 0}, ! 319: {-2, 0}, ! 320: {-2, 2}, ! 321: {-2, 4}, ! 322: {-1, 0}, ! 323: {-1, 1}, ! 324: {-1, 2}, ! 325: {-1, 3}, ! 326: {-1, 4}, ! 327: {-1, 5}, ! 328: {-1, 6}, ! 329: {-1, 7}, ! 330: {-1, 8}, ! 331: {-1, 9}, ! 332: {-1, 10}, ! 333: // numerator = -5 ! 334: {0, -5}, ! 335: {0, -5}, ! 336: {0, -5}, ! 337: {0, -5}, ! 338: {0, -5}, ! 339: {0, -5}, ! 340: {0, -5}, ! 341: {0, -5}, ! 342: {0, -5}, ! 343: {0, -5}, ! 344: {1, 0}, ! 345: {1, -1}, ! 346: {1, -2}, ! 347: {2, -1}, ! 348: {5, 0}, ! 349: {0, 0}, ! 350: {-5, 0}, ! 351: {-3, 1}, ! 352: {-2, 1}, ! 353: {-2, 3}, ! 354: {-1, 0}, ! 355: {-1, 1}, ! 356: {-1, 2}, ! 357: {-1, 3}, ! 358: {-1, 4}, ! 359: {-1, 5}, ! 360: {-1, 6}, ! 361: {-1, 7}, ! 362: {-1, 8}, ! 363: {-1, 9}, ! 364: {-1, 10}, ! 365: {-1, 11}, ! 366: // numerator = -4 ! 367: {0, -4}, ! 368: {0, -4}, ! 369: {0, -4}, ! 370: {0, -4}, ! 371: {0, -4}, ! 372: {0, -4}, ! 373: {0, -4}, ! 374: {0, -4}, ! 375: {0, -4}, ! 376: {0, -4}, ! 377: {0, -4}, ! 378: {1, 0}, ! 379: {1, -1}, ! 380: {2, 0}, ! 381: {4, 0}, ! 382: {0, 0}, ! 383: {-4, 0}, ! 384: {-2, 0}, ! 385: {-2, 2}, ! 386: {-1, 0}, ! 387: {-1, 1}, ! 388: {-1, 2}, ! 389: {-1, 3}, ! 390: {-1, 4}, ! 391: {-1, 5}, ! 392: {-1, 6}, ! 393: {-1, 7}, ! 394: {-1, 8}, ! 395: {-1, 9}, ! 396: {-1, 10}, ! 397: {-1, 11}, ! 398: {-1, 12}, ! 399: // numerator = -3 ! 400: {0, -3}, ! 401: {0, -3}, ! 402: {0, -3}, ! 403: {0, -3}, ! 404: {0, -3}, ! 405: {0, -3}, ! 406: {0, -3}, ! 407: {0, -3}, ! 408: {0, -3}, ! 409: {0, -3}, ! 410: {0, -3}, ! 411: {0, -3}, ! 412: {1, 0}, ! 413: {1, -1}, ! 414: {3, 0}, ! 415: {0, 0}, ! 416: {-3, 0}, ! 417: {-2, 1}, ! 418: {-1, 0}, ! 419: {-1, 1}, ! 420: {-1, 2}, ! 421: {-1, 3}, ! 422: {-1, 4}, ! 423: {-1, 5}, ! 424: {-1, 6}, ! 425: {-1, 7}, ! 426: {-1, 8}, ! 427: {-1, 9}, ! 428: {-1, 10}, ! 429: {-1, 11}, ! 430: {-1, 12}, ! 431: {-1, 13}, ! 432: // numerator = -2 ! 433: {0, -2}, ! 434: {0, -2}, ! 435: {0, -2}, ! 436: {0, -2}, ! 437: {0, -2}, ! 438: {0, -2}, ! 439: {0, -2}, ! 440: {0, -2}, ! 441: {0, -2}, ! 442: {0, -2}, ! 443: {0, -2}, ! 444: {0, -2}, ! 445: {0, -2}, ! 446: {1, 0}, ! 447: {2, 0}, ! 448: {0, 0}, ! 449: {-2, 0}, ! 450: {-1, 0}, ! 451: {-1, 1}, ! 452: {-1, 2}, ! 453: {-1, 3}, ! 454: {-1, 4}, ! 455: {-1, 5}, ! 456: {-1, 6}, ! 457: {-1, 7}, ! 458: {-1, 8}, ! 459: {-1, 9}, ! 460: {-1, 10}, ! 461: {-1, 11}, ! 462: {-1, 12}, ! 463: {-1, 13}, ! 464: {-1, 14}, ! 465: // numerator = -1 ! 466: {0, -1}, ! 467: {0, -1}, ! 468: {0, -1}, ! 469: {0, -1}, ! 470: {0, -1}, ! 471: {0, -1}, ! 472: {0, -1}, ! 473: {0, -1}, ! 474: {0, -1}, ! 475: {0, -1}, ! 476: {0, -1}, ! 477: {0, -1}, ! 478: {0, -1}, ! 479: {0, -1}, ! 480: {1, 0}, ! 481: {0, 0}, ! 482: {-1, 0}, ! 483: {-1, 1}, ! 484: {-1, 2}, ! 485: {-1, 3}, ! 486: {-1, 4}, ! 487: {-1, 5}, ! 488: {-1, 6}, ! 489: {-1, 7}, ! 490: {-1, 8}, ! 491: {-1, 9}, ! 492: {-1, 10}, ! 493: {-1, 11}, ! 494: {-1, 12}, ! 495: {-1, 13}, ! 496: {-1, 14}, ! 497: {-1, 15}, ! 498: // numerator = 0 ! 499: {0, 0}, ! 500: {0, 0}, ! 501: {0, 0}, ! 502: {0, 0}, ! 503: {0, 0}, ! 504: {0, 0}, ! 505: {0, 0}, ! 506: {0, 0}, ! 507: {0, 0}, ! 508: {0, 0}, ! 509: {0, 0}, ! 510: {0, 0}, ! 511: {0, 0}, ! 512: {0, 0}, ! 513: {0, 0}, ! 514: {0, 0}, ! 515: {0, 0}, ! 516: {0, 0}, ! 517: {0, 0}, ! 518: {0, 0}, ! 519: {0, 0}, ! 520: {0, 0}, ! 521: {0, 0}, ! 522: {0, 0}, ! 523: {0, 0}, ! 524: {0, 0}, ! 525: {0, 0}, ! 526: {0, 0}, ! 527: {0, 0}, ! 528: {0, 0}, ! 529: {0, 0}, ! 530: {0, 0}, ! 531: // numerator = 1 ! 532: {-1, -14}, ! 533: {-1, -13}, ! 534: {-1, -12}, ! 535: {-1, -11}, ! 536: {-1, -10}, ! 537: {-1, -9}, ! 538: {-1, -8}, ! 539: {-1, -7}, ! 540: {-1, -6}, ! 541: {-1, -5}, ! 542: {-1, -4}, ! 543: {-1, -3}, ! 544: {-1, -2}, ! 545: {-1, -1}, ! 546: {-1, 0}, ! 547: {0, 0}, ! 548: {1, 0}, ! 549: {0, 1}, ! 550: {0, 1}, ! 551: {0, 1}, ! 552: {0, 1}, ! 553: {0, 1}, ! 554: {0, 1}, ! 555: {0, 1}, ! 556: {0, 1}, ! 557: {0, 1}, ! 558: {0, 1}, ! 559: {0, 1}, ! 560: {0, 1}, ! 561: {0, 1}, ! 562: {0, 1}, ! 563: {0, 1}, ! 564: // numerator = 2 ! 565: {-1, -13}, ! 566: {-1, -12}, ! 567: {-1, -11}, ! 568: {-1, -10}, ! 569: {-1, -9}, ! 570: {-1, -8}, ! 571: {-1, -7}, ! 572: {-1, -6}, ! 573: {-1, -5}, ! 574: {-1, -4}, ! 575: {-1, -3}, ! 576: {-1, -2}, ! 577: {-1, -1}, ! 578: {-1, 0}, ! 579: {-2, 0}, ! 580: {0, 0}, ! 581: {2, 0}, ! 582: {1, 0}, ! 583: {0, 2}, ! 584: {0, 2}, ! 585: {0, 2}, ! 586: {0, 2}, ! 587: {0, 2}, ! 588: {0, 2}, ! 589: {0, 2}, ! 590: {0, 2}, ! 591: {0, 2}, ! 592: {0, 2}, ! 593: {0, 2}, ! 594: {0, 2}, ! 595: {0, 2}, ! 596: {0, 2}, ! 597: // numerator = 3 ! 598: {-1, -12}, ! 599: {-1, -11}, ! 600: {-1, -10}, ! 601: {-1, -9}, ! 602: {-1, -8}, ! 603: {-1, -7}, ! 604: {-1, -6}, ! 605: {-1, -5}, ! 606: {-1, -4}, ! 607: {-1, -3}, ! 608: {-1, -2}, ! 609: {-1, -1}, ! 610: {-1, 0}, ! 611: {-2, -1}, ! 612: {-3, 0}, ! 613: {0, 0}, ! 614: {3, 0}, ! 615: {1, 1}, ! 616: {1, 0}, ! 617: {0, 3}, ! 618: {0, 3}, ! 619: {0, 3}, ! 620: {0, 3}, ! 621: {0, 3}, ! 622: {0, 3}, ! 623: {0, 3}, ! 624: {0, 3}, ! 625: {0, 3}, ! 626: {0, 3}, ! 627: {0, 3}, ! 628: {0, 3}, ! 629: {0, 3}, ! 630: // numerator = 4 ! 631: {-1, -11}, ! 632: {-1, -10}, ! 633: {-1, -9}, ! 634: {-1, -8}, ! 635: {-1, -7}, ! 636: {-1, -6}, ! 637: {-1, -5}, ! 638: {-1, -4}, ! 639: {-1, -3}, ! 640: {-1, -2}, ! 641: {-1, -1}, ! 642: {-1, 0}, ! 643: {-2, -2}, ! 644: {-2, 0}, ! 645: {-4, 0}, ! 646: {0, 0}, ! 647: {4, 0}, ! 648: {2, 0}, ! 649: {1, 1}, ! 650: {1, 0}, ! 651: {0, 4}, ! 652: {0, 4}, ! 653: {0, 4}, ! 654: {0, 4}, ! 655: {0, 4}, ! 656: {0, 4}, ! 657: {0, 4}, ! 658: {0, 4}, ! 659: {0, 4}, ! 660: {0, 4}, ! 661: {0, 4}, ! 662: {0, 4}, ! 663: // numerator = 5 ! 664: {-1, -10}, ! 665: {-1, -9}, ! 666: {-1, -8}, ! 667: {-1, -7}, ! 668: {-1, -6}, ! 669: {-1, -5}, ! 670: {-1, -4}, ! 671: {-1, -3}, ! 672: {-1, -2}, ! 673: {-1, -1}, ! 674: {-1, 0}, ! 675: {-2, -3}, ! 676: {-2, -1}, ! 677: {-3, -1}, ! 678: {-5, 0}, ! 679: {0, 0}, ! 680: {5, 0}, ! 681: {2, 1}, ! 682: {1, 2}, ! 683: {1, 1}, ! 684: {1, 0}, ! 685: {0, 5}, ! 686: {0, 5}, ! 687: {0, 5}, ! 688: {0, 5}, ! 689: {0, 5}, ! 690: {0, 5}, ! 691: {0, 5}, ! 692: {0, 5}, ! 693: {0, 5}, ! 694: {0, 5}, ! 695: {0, 5}, ! 696: // numerator = 6 ! 697: {-1, -9}, ! 698: {-1, -8}, ! 699: {-1, -7}, ! 700: {-1, -6}, ! 701: {-1, -5}, ! 702: {-1, -4}, ! 703: {-1, -3}, ! 704: {-1, -2}, ! 705: {-1, -1}, ! 706: {-1, 0}, ! 707: {-2, -4}, ! 708: {-2, -2}, ! 709: {-2, 0}, ! 710: {-3, 0}, ! 711: {-6, 0}, ! 712: {0, 0}, ! 713: {6, 0}, ! 714: {3, 0}, ! 715: {2, 0}, ! 716: {1, 2}, ! 717: {1, 1}, ! 718: {1, 0}, ! 719: {0, 6}, ! 720: {0, 6}, ! 721: {0, 6}, ! 722: {0, 6}, ! 723: {0, 6}, ! 724: {0, 6}, ! 725: {0, 6}, ! 726: {0, 6}, ! 727: {0, 6}, ! 728: {0, 6}, ! 729: // numerator = 7 ! 730: {-1, -8}, ! 731: {-1, -7}, ! 732: {-1, -6}, ! 733: {-1, -5}, ! 734: {-1, -4}, ! 735: {-1, -3}, ! 736: {-1, -2}, ! 737: {-1, -1}, ! 738: {-1, 0}, ! 739: {-2, -5}, ! 740: {-2, -3}, ! 741: {-2, -1}, ! 742: {-3, -2}, ! 743: {-4, -1}, ! 744: {-7, 0}, ! 745: {0, 0}, ! 746: {7, 0}, ! 747: {3, 1}, ! 748: {2, 1}, ! 749: {1, 3}, ! 750: {1, 2}, ! 751: {1, 1}, ! 752: {1, 0}, ! 753: {0, 7}, ! 754: {0, 7}, ! 755: {0, 7}, ! 756: {0, 7}, ! 757: {0, 7}, ! 758: {0, 7}, ! 759: {0, 7}, ! 760: {0, 7}, ! 761: {0, 7}, ! 762: // numerator = 8 ! 763: {-1, -7}, ! 764: {-1, -6}, ! 765: {-1, -5}, ! 766: {-1, -4}, ! 767: {-1, -3}, ! 768: {-1, -2}, ! 769: {-1, -1}, ! 770: {-1, 0}, ! 771: {-2, -6}, ! 772: {-2, -4}, ! 773: {-2, -2}, ! 774: {-2, 0}, ! 775: {-3, -1}, ! 776: {-4, 0}, ! 777: {-8, 0}, ! 778: {0, 0}, ! 779: {8, 0}, ! 780: {4, 0}, ! 781: {2, 2}, ! 782: {2, 0}, ! 783: {1, 3}, ! 784: {1, 2}, ! 785: {1, 1}, ! 786: {1, 0}, ! 787: {0, 8}, ! 788: {0, 8}, ! 789: {0, 8}, ! 790: {0, 8}, ! 791: {0, 8}, ! 792: {0, 8}, ! 793: {0, 8}, ! 794: {0, 8}, ! 795: // numerator = 9 ! 796: {-1, -6}, ! 797: {-1, -5}, ! 798: {-1, -4}, ! 799: {-1, -3}, ! 800: {-1, -2}, ! 801: {-1, -1}, ! 802: {-1, 0}, ! 803: {-2, -7}, ! 804: {-2, -5}, ! 805: {-2, -3}, ! 806: {-2, -1}, ! 807: {-3, -3}, ! 808: {-3, 0}, ! 809: {-5, -1}, ! 810: {-9, 0}, ! 811: {0, 0}, ! 812: {9, 0}, ! 813: {4, 1}, ! 814: {3, 0}, ! 815: {2, 1}, ! 816: {1, 4}, ! 817: {1, 3}, ! 818: {1, 2}, ! 819: {1, 1}, ! 820: {1, 0}, ! 821: {0, 9}, ! 822: {0, 9}, ! 823: {0, 9}, ! 824: {0, 9}, ! 825: {0, 9}, ! 826: {0, 9}, ! 827: {0, 9}, ! 828: // numerator = 10 ! 829: {-1, -5}, ! 830: {-1, -4}, ! 831: {-1, -3}, ! 832: {-1, -2}, ! 833: {-1, -1}, ! 834: {-1, 0}, ! 835: {-2, -8}, ! 836: {-2, -6}, ! 837: {-2, -4}, ! 838: {-2, -2}, ! 839: {-2, 0}, ! 840: {-3, -2}, ! 841: {-4, -2}, ! 842: {-5, 0}, ! 843: {-10, 0}, ! 844: {0, 0}, ! 845: {10, 0}, ! 846: {5, 0}, ! 847: {3, 1}, ! 848: {2, 2}, ! 849: {2, 0}, ! 850: {1, 4}, ! 851: {1, 3}, ! 852: {1, 2}, ! 853: {1, 1}, ! 854: {1, 0}, ! 855: {0, 10}, ! 856: {0, 10}, ! 857: {0, 10}, ! 858: {0, 10}, ! 859: {0, 10}, ! 860: {0, 10}, ! 861: // numerator = 11 ! 862: {-1, -4}, ! 863: {-1, -3}, ! 864: {-1, -2}, ! 865: {-1, -1}, ! 866: {-1, 0}, ! 867: {-2, -9}, ! 868: {-2, -7}, ! 869: {-2, -5}, ! 870: {-2, -3}, ! 871: {-2, -1}, ! 872: {-3, -4}, ! 873: {-3, -1}, ! 874: {-4, -1}, ! 875: {-6, -1}, ! 876: {-11, 0}, ! 877: {0, 0}, ! 878: {11, 0}, ! 879: {5, 1}, ! 880: {3, 2}, ! 881: {2, 3}, ! 882: {2, 1}, ! 883: {1, 5}, ! 884: {1, 4}, ! 885: {1, 3}, ! 886: {1, 2}, ! 887: {1, 1}, ! 888: {1, 0}, ! 889: {0, 11}, ! 890: {0, 11}, ! 891: {0, 11}, ! 892: {0, 11}, ! 893: {0, 11}, ! 894: // numerator = 12 ! 895: {-1, -3}, ! 896: {-1, -2}, ! 897: {-1, -1}, ! 898: {-1, 0}, ! 899: {-2, -10}, ! 900: {-2, -8}, ! 901: {-2, -6}, ! 902: {-2, -4}, ! 903: {-2, -2}, ! 904: {-2, 0}, ! 905: {-3, -3}, ! 906: {-3, 0}, ! 907: {-4, 0}, ! 908: {-6, 0}, ! 909: {-12, 0}, ! 910: {0, 0}, ! 911: {12, 0}, ! 912: {6, 0}, ! 913: {4, 0}, ! 914: {3, 0}, ! 915: {2, 2}, ! 916: {2, 0}, ! 917: {1, 5}, ! 918: {1, 4}, ! 919: {1, 3}, ! 920: {1, 2}, ! 921: {1, 1}, ! 922: {1, 0}, ! 923: {0, 12}, ! 924: {0, 12}, ! 925: {0, 12}, ! 926: {0, 12}, ! 927: // numerator = 13 ! 928: {-1, -2}, ! 929: {-1, -1}, ! 930: {-1, 0}, ! 931: {-2, -11}, ! 932: {-2, -9}, ! 933: {-2, -7}, ! 934: {-2, -5}, ! 935: {-2, -3}, ! 936: {-2, -1}, ! 937: {-3, -5}, ! 938: {-3, -2}, ! 939: {-4, -3}, ! 940: {-5, -2}, ! 941: {-7, -1}, ! 942: {-13, 0}, ! 943: {0, 0}, ! 944: {13, 0}, ! 945: {6, 1}, ! 946: {4, 1}, ! 947: {3, 1}, ! 948: {2, 3}, ! 949: {2, 1}, ! 950: {1, 6}, ! 951: {1, 5}, ! 952: {1, 4}, ! 953: {1, 3}, ! 954: {1, 2}, ! 955: {1, 1}, ! 956: {1, 0}, ! 957: {0, 13}, ! 958: {0, 13}, ! 959: {0, 13}, ! 960: // numerator = 14 ! 961: {-1, -1}, ! 962: {-1, 0}, ! 963: {-2, -12}, ! 964: {-2, -10}, ! 965: {-2, -8}, ! 966: {-2, -6}, ! 967: {-2, -4}, ! 968: {-2, -2}, ! 969: {-2, 0}, ! 970: {-3, -4}, ! 971: {-3, -1}, ! 972: {-4, -2}, ! 973: {-5, -1}, ! 974: {-7, 0}, ! 975: {-14, 0}, ! 976: {0, 0}, ! 977: {14, 0}, ! 978: {7, 0}, ! 979: {4, 2}, ! 980: {3, 2}, ! 981: {2, 4}, ! 982: {2, 2}, ! 983: {2, 0}, ! 984: {1, 6}, ! 985: {1, 5}, ! 986: {1, 4}, ! 987: {1, 3}, ! 988: {1, 2}, ! 989: {1, 1}, ! 990: {1, 0}, ! 991: {0, 14}, ! 992: {0, 14}, ! 993: // numerator = 15 ! 994: {-1, 0}, ! 995: {-2, -13}, ! 996: {-2, -11}, ! 997: {-2, -9}, ! 998: {-2, -7}, ! 999: {-2, -5}, ! 1000: {-2, -3}, ! 1001: {-2, -1}, ! 1002: {-3, -6}, ! 1003: {-3, -3}, ! 1004: {-3, 0}, ! 1005: {-4, -1}, ! 1006: {-5, 0}, ! 1007: {-8, -1}, ! 1008: {-15, 0}, ! 1009: {0, 0}, ! 1010: {15, 0}, ! 1011: {7, 1}, ! 1012: {5, 0}, ! 1013: {3, 3}, ! 1014: {3, 0}, ! 1015: {2, 3}, ! 1016: {2, 1}, ! 1017: {1, 7}, ! 1018: {1, 6}, ! 1019: {1, 5}, ! 1020: {1, 4}, ! 1021: {1, 3}, ! 1022: {1, 2}, ! 1023: {1, 1}, ! 1024: {1, 0}, ! 1025: {0, 15}, ! 1026: // numerator = 16 ! 1027: {-2, -14}, ! 1028: {-2, -12}, ! 1029: {-2, -10}, ! 1030: {-2, -8}, ! 1031: {-2, -6}, ! 1032: {-2, -4}, ! 1033: {-2, -2}, ! 1034: {-2, 0}, ! 1035: {-3, -5}, ! 1036: {-3, -2}, ! 1037: {-4, -4}, ! 1038: {-4, 0}, ! 1039: {-6, -2}, ! 1040: {-8, 0}, ! 1041: {-16, 0}, ! 1042: {0, 0}, ! 1043: {16, 0}, ! 1044: {8, 0}, ! 1045: {5, 1}, ! 1046: {4, 0}, ! 1047: {3, 1}, ! 1048: {2, 4}, ! 1049: {2, 2}, ! 1050: {2, 0}, ! 1051: {1, 7}, ! 1052: {1, 6}, ! 1053: {1, 5}, ! 1054: {1, 4}, ! 1055: {1, 3}, ! 1056: {1, 2}, ! 1057: {1, 1}, ! 1058: {1, 0},
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