E48-Teiler

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Immer wieder hat man das Problem, für die Verstärkungseinstellung eines OP oder zur Spannungswahl eines einstellbaren Spannungsreglers eine passende Widerstandskombination zu finden.

Daher habe ich schon vor Jahren ( auf dem Atari 1040 ST mit Omicron-Basic ) drei Tabellen berechnet und aufsteigend sortiert, die alle innerhalb einer Dekade mit Widerständen der E24 / E48 / oder E96-Reihe möglichen Teiler auflisten. Für größere Teilverhältnisse nimmt man einfach das Zehnfache bzw. ein Zehntel des gesuchten Quotienten.

Je nach Aufgabe muss man seine Gleichung so umformen, dass für R1/R2 ein Dezimalbruch zwzschen 0,1 und 0,9 herauskommt(Kehrwert bilden oder auch 1 addieren/subtrahieren).

Durch Toleranzen und den Strom, der dem Teiler entnommen wird, stimmen die berechneten Werte nicht genau mit der Praxis überein. Mit einem benachbarten Wert kommt man dem Sollwert möglicherweise näher.

Weblinks[Bearbeiten]


Spannungsteiler mit Widerständen der Reihe E48[Bearbeiten]


0.10432 = 169/ 1620  0.10454 = 115/ 1100  0.10459 = 205/ 1960  0.10472 = 133/ 1270
0.10473 = 442/ 4220  0.10474 = 287/ 2740  0.10476 = 154/ 1470  0.10476 = 110/ 1050
0.10481 = 196/ 1870  0.10481 = 348/ 3320  0.10481 = 261/ 2490  0.10482 = 825/ 7870
0.10484 = 953/ 9090  0.10484 = 649/ 6190  0.10485 = 562/ 5360  0.10486 = 237/ 2260
0.10487 = 215/ 2050  0.10487 = 301/ 2870  0.10488 = 365/ 3480  0.10489 = 536/ 5110
0.10489 = 750/ 7150  0.10491 = 619/ 5900  0.10492 = 511/ 4870  0.10493 = 681/ 6490
0.10493 = 383/ 3650  0.10493 = 100/  953  0.10493 = 787/ 7500  0.10495 = 487/ 4640
0.10495 = 127/ 1210  0.10496 = 402/ 3830  0.10496 = 909/ 8660  0.10496 = 866/ 8250
0.10497 = 422/ 4020  0.10497 = 464/ 4420  0.10498 = 274/ 2610  0.10498 = 590/ 5620
0.10498 = 316/ 3010  0.10499 = 715/ 6810  0.10500 = 105/ 1000  0.10500 = 147/ 1400
0.10505 = 187/ 1780  0.10506 = 332/ 3160  0.10506 = 249/ 2370  0.10511 = 226/ 2150
0.10519 = 162/ 1540  0.10521 = 121/ 1150  0.10526 = 140/ 1330  0.10532 = 178/ 1690
0.10952 = 115/ 1050  0.10962 = 205/ 1870  0.10969 = 215/ 1960  0.10974 = 169/ 1540
0.10985 = 301/ 2740  0.10987 = 178/ 1620  0.10991 = 133/ 1210  0.10993 = 365/ 3320
0.10995 = 442/ 4020  0.10995 = 464/ 4220  0.10996 = 287/ 2610  0.10998 = 562/ 5110
0.11000 = 649/ 5900  0.11000 = 110/ 1000  0.11000 = 825/ 7500  0.11000 = 154/ 1400
0.11000 = 121/ 1100  0.11001 = 100/  909  0.11001 = 681/ 6190  0.11003 = 866/ 7870
0.11004 = 274/ 2490  0.11004 = 953/ 8660  0.11005 = 383/ 3480  0.11006 = 536/ 4870
0.11006 = 787/ 7150  0.11007 = 590/ 5360  0.11010 = 316/ 2870  0.11011 = 196/ 1780
0.11012 = 261/ 2370  0.11012 = 348/ 3160  0.11012 = 511/ 4640  0.11013 = 750/ 6810
0.11013 = 402/ 3650  0.11014 = 619/ 5620  0.11016 = 715/ 6490  0.11017 = 249/ 2260
0.11017 = 105/  953  0.11018 = 487/ 4420  0.11018 = 909/ 8250  0.11018 = 422/ 3830
0.11020 = 162/ 1470  0.11023 = 237/ 2150  0.11023 = 140/ 1270  0.11024 = 226/ 2050
0.11029 = 332/ 3010  0.11043 = 127/ 1150  0.11052 = 147/ 1330  0.11065 = 187/ 1690
0.11496 = 169/ 1470  0.11497 = 215/ 1870  0.11500 = 115/ 1000  0.11516 = 205/ 1780
0.11523 = 121/ 1050  0.11526 = 287/ 2490  0.11530 = 226/ 1960  0.11532 = 301/ 2610
0.11532 = 316/ 2740  0.11536 = 383/ 3320  0.11538 = 825/ 7150  0.11540 = 562/ 4870
0.11540 = 487/ 4220  0.11540 = 442/ 3830  0.11542 = 464/ 4020  0.11542 = 681/ 5900
0.11542 = 110/  953  0.11543 = 187/ 1620  0.11545 = 127/ 1100  0.11545 = 590/ 5110
0.11546 = 866/ 7500  0.11547 = 100/  866  0.11548 = 649/ 5620  0.11548 = 619/ 5360
0.11548 = 261/ 2260  0.11550 = 909/ 7870  0.11550 = 365/ 3160  0.11550 = 715/ 6190
0.11551 = 105/  909  0.11551 = 953/ 8250  0.11551 = 536/ 4640  0.11551 = 402/ 3480
0.11556 = 750/ 6490  0.11556 = 787/ 6810  0.11558 = 178/ 1540  0.11560 = 237/ 2050
0.11561 = 511/ 4420  0.11561 = 274/ 2370  0.11561 = 348/ 3010  0.11561 = 422/ 3650
0.11565 = 133/ 1150  0.11567 = 332/ 2870  0.11570 = 140/ 1210  0.11571 = 162/ 1400
0.11574 = 147/ 1270  0.11578 = 154/ 1330  0.11581 = 249/ 2150  0.11597 = 196/ 1690
0.12067 = 115/  953  0.12071 = 169/ 1400  0.12078 = 215/ 1780  0.12085 = 226/ 1870
0.12088 = 301/ 2490  0.12090 = 133/ 1100  0.12091 = 237/ 1960  0.12095 = 127/ 1050
0.12098 = 196/ 1620  0.12100 = 121/ 1000  0.12101 = 110/  909  0.12107 = 316/ 2610
0.12108 = 649/ 5360  0.12108 = 402/ 3320  0.12108 = 178/ 1470  0.12109 = 511/ 4220
0.12109 = 953/ 7870  0.12109 = 442/ 3650  0.12109 = 287/ 2370  0.12111 = 866/ 7150
0.12112 = 562/ 4640  0.12113 = 619/ 5110  0.12114 = 487/ 4020  0.12114 = 825/ 6810
0.12114 = 464/ 3830  0.12114 = 590/ 4870  0.12116 = 750/ 6190  0.12116 = 332/ 2740
0.12117 = 681/ 5620  0.12118 = 715/ 5900  0.12120 = 909/ 7500  0.12120 = 383/ 3160
0.12121 = 100/  825  0.12123 = 274/ 2260  0.12124 = 105/  866  0.12125 = 348/ 2870
0.12125 = 154/ 1270  0.12126 = 365/ 3010  0.12126 = 787/ 6490  0.12126 = 422/ 3480
0.12126 = 536/ 4420  0.12130 = 205/ 1690  0.12139 = 261/ 2150  0.12142 = 187/ 1540
0.12146 = 249/ 2050  0.12148 = 147/ 1210  0.12173 = 140/ 1150  0.12180 = 162/ 1330
0.12651 = 115/  909  0.12654 = 205/ 1620  0.12666 = 133/ 1050  0.12673 = 237/ 1870
0.12690 = 316/ 2490  0.12696 = 226/ 1780  0.12696 = 121/  953  0.12699 = 287/ 2260
0.12700 = 127/ 1000  0.12700 = 301/ 2370  0.12700 = 649/ 5110  0.12700 = 348/ 2740
0.12701 = 442/ 3480  0.12701 = 536/ 4220  0.12702 = 110/  866  0.12704 = 249/ 1960
0.12705 = 681/ 5360  0.12706 = 100/  787  0.12706 = 953/ 7500  0.12706 = 169/ 1330
0.12710 = 619/ 4870  0.12710 = 422/ 3320  0.12711 = 511/ 4020  0.12711 = 750/ 5900
0.12711 = 825/ 6490  0.12712 = 464/ 3650  0.12713 = 909/ 7150  0.12714 = 787/ 6190
0.12714 = 178/ 1400  0.12714 = 562/ 4420  0.12715 = 487/ 3830  0.12715 = 590/ 4640
0.12716 = 866/ 6810  0.12717 = 365/ 2870  0.12720 = 332/ 2610  0.12721 = 187/ 1470
0.12721 = 402/ 3160  0.12721 = 215/ 1690  0.12722 = 715/ 5620  0.12724 = 383/ 3010
0.12727 = 105/  825  0.12727 = 140/ 1100  0.12727 = 196/ 1540  0.12727 = 154/ 1210
0.12731 = 261/ 2050  0.12744 = 274/ 2150  0.12755 = 162/ 1270  0.12782 = 147/ 1150
0.13271 = 215/ 1620  0.13279 = 115/  866  0.13300 = 133/ 1000  0.13307 = 169/ 1270
0.13311 = 121/  909  0.13311 = 205/ 1540  0.13313 = 442/ 3320  0.13314 = 237/ 1780
0.13315 = 249/ 1870  0.13316 = 261/ 1960  0.13317 = 562/ 4220  0.13318 = 301/ 2260
0.13321 = 365/ 2740  0.13326 = 127/  953  0.13326 = 649/ 4870  0.13326 = 681/ 5110
0.13327 = 825/ 6190  0.13328 = 953/ 7150  0.13333 = 110/  825  0.13333 = 100/  750
0.13333 = 196/ 1470  0.13333 = 316/ 2370  0.13333 = 536/ 4020  0.13333 = 348/ 2610
0.13333 = 140/ 1050  0.13333 = 464/ 3480  0.13333 = 332/ 2490  0.13338 = 787/ 5900
0.13339 = 715/ 5360  0.13340 = 619/ 4640  0.13341 = 105/  787  0.13342 = 511/ 3830
0.13342 = 487/ 3650  0.13343 = 866/ 6490  0.13344 = 383/ 2870  0.13345 = 750/ 5620
0.13348 = 909/ 6810  0.13348 = 590/ 4420  0.13348 = 287/ 2150  0.13354 = 422/ 3160
0.13355 = 402/ 3010  0.13357 = 187/ 1400  0.13363 = 147/ 1100  0.13365 = 274/ 2050
0.13372 = 226/ 1690  0.13383 = 178/ 1330  0.13388 = 162/ 1210  0.13391 = 154/ 1150
0.13939 = 115/  825  0.13945 = 205/ 1470  0.13950 = 226/ 1620  0.13955 = 133/  953
0.13957 = 261/ 1870  0.13961 = 215/ 1540  0.13966 = 169/ 1210  0.13971 = 127/  909
0.13972 = 121/  866  0.13975 = 348/ 2490  0.13975 = 464/ 3320  0.13977 = 110/  787
0.13978 = 383/ 2740  0.13979 = 274/ 1960  0.13980 = 562/ 4020  0.13981 = 590/ 4220
0.13982 = 316/ 2260  0.13983 = 825/ 5900  0.13983 = 681/ 4870  0.13984 = 365/ 2610
0.13986 = 100/  715  0.13987 = 649/ 4640  0.13987 = 442/ 3160  0.13988 = 249/ 1780
0.13990 = 866/ 6190  0.13992 = 715/ 5110  0.13992 = 750/ 5360  0.13994 = 953/ 6810
0.13994 = 487/ 3480  0.13994 = 536/ 3830  0.14000 = 301/ 2150  0.14000 = 140/ 1000
0.14000 = 287/ 2050  0.14000 = 147/ 1050  0.14000 = 105/  750  0.14000 = 154/ 1100
0.14000 = 511/ 3650  0.14000 = 196/ 1400  0.14003 = 787/ 5620  0.14004 = 619/ 4420
0.14006 = 909/ 6490  0.14006 = 402/ 2870  0.14008 = 332/ 2370  0.14015 = 178/ 1270
0.14019 = 422/ 3010  0.14023 = 237/ 1690  0.14060 = 187/ 1330  0.14086 = 162/ 1150
0.14612 = 115/  787  0.14625 = 215/ 1470  0.14629 = 237/ 1620  0.14631 = 133/  909
0.14642 = 287/ 1960  0.14642 = 205/ 1400  0.14652 = 274/ 1870  0.14658 = 365/ 2490
0.14662 = 261/ 1780  0.14665 = 127/  866  0.14666 = 154/ 1050  0.14666 = 121/  825
0.14666 = 110/  750  0.14668 = 619/ 4220  0.14668 = 487/ 3320  0.14671 = 402/ 2740
0.14673 = 562/ 3830  0.14674 = 383/ 2610  0.14675 = 226/ 1540  0.14676 = 590/ 4020
0.14676 = 681/ 4640  0.14677 = 750/ 5110  0.14677 = 866/ 5900  0.14679 = 825/ 5620
0.14681 = 715/ 4870  0.14682 = 787/ 5360  0.14682 = 301/ 2050  0.14683 = 649/ 4420
0.14683 = 464/ 3160  0.14683 = 348/ 2370  0.14683 = 511/ 3480  0.14684 = 953/ 6490
0.14684 = 100/  681  0.14684 = 442/ 3010  0.14684 = 536/ 3650  0.14684 = 909/ 6190
0.14685 = 105/  715  0.14690 = 332/ 2260  0.14690 = 140/  953  0.14695 = 169/ 1150
0.14697 = 316/ 2150  0.14700 = 147/ 1000  0.14703 = 422/ 2870  0.14710 = 178/ 1210
0.14724 = 187/ 1270  0.14727 = 162/ 1100  0.14733 = 249/ 1690  0.14736 = 196/ 1330
0.15333 = 115/  750  0.15347 = 287/ 1870  0.15357 = 215/ 1400  0.15357 = 301/ 1960
0.15357 = 133/  866  0.15363 = 169/ 1100  0.15370 = 249/ 1620  0.15374 = 226/ 1470
0.15374 = 121/  787  0.15379 = 649/ 4220  0.15381 = 383/ 2490  0.15384 = 110/  715
0.15389 = 237/ 1540  0.15391 = 511/ 3320  0.15391 = 825/ 5360  0.15393 = 274/ 1780
0.15393 = 127/  825  0.15395 = 953/ 6190  0.15397 = 562/ 3650  0.15398 = 619/ 4020
0.15398 = 348/ 2260  0.15400 = 154/ 1000  0.15400 = 750/ 4870  0.15400 = 442/ 2870
0.15400 = 365/ 2370  0.15401 = 787/ 5110  0.15401 = 422/ 2740  0.15401 = 140/  909
0.15402 = 536/ 3480  0.15402 = 402/ 2610  0.15404 = 590/ 3830  0.15406 = 909/ 5900
0.15407 = 681/ 4420  0.15408 = 100/  649  0.15409 = 866/ 5620  0.15409 = 715/ 4640
0.15411 = 487/ 3160  0.15413 = 205/ 1330  0.15414 = 316/ 2050  0.15415 = 464/ 3010
0.15418 = 105/  681  0.15424 = 147/  953  0.15428 = 162/ 1050  0.15433 = 196/ 1270
0.15441 = 332/ 2150  0.15443 = 261/ 1690  0.15454 = 187/ 1210  0.15478 = 178/ 1150
0.16083 = 115/  715  0.16095 = 169/ 1050  0.16096 = 301/ 1870  0.16111 = 261/ 1620
0.16121 = 133/  825  0.16122 = 316/ 1960  0.16122 = 237/ 1470  0.16123 = 287/ 1780
0.16131 = 442/ 2740  0.16133 = 121/  750  0.16137 = 127/  787  0.16137 = 681/ 4220
0.16141 = 205/ 1270  0.16142 = 226/ 1400  0.16144 = 649/ 4020  0.16144 = 536/ 3320
0.16144 = 402/ 2490  0.16144 = 825/ 5110  0.16149 = 562/ 3480  0.16150 = 365/ 2260
0.16152 = 953/ 5900  0.16152 = 110/  681  0.16155 = 100/  619  0.16156 = 866/ 5360
0.16159 = 154/  953  0.16160 = 787/ 4870  0.16160 = 383/ 2370  0.16161 = 619/ 3830
0.16163 = 750/ 4640  0.16164 = 590/ 3650  0.16165 = 215/ 1330  0.16166 = 140/  866
0.16167 = 464/ 2870  0.16168 = 422/ 2610  0.16168 = 249/ 1540  0.16170 = 511/ 3160
0.16171 = 147/  909  0.16174 = 909/ 5620  0.16176 = 715/ 4420  0.16178 = 105/  649
0.16179 = 487/ 3010  0.16181 = 178/ 1100  0.16186 = 348/ 2150  0.16195 = 332/ 2050
0.16198 = 196/ 1210  0.16200 = 162/ 1000  0.16213 = 274/ 1690  0.16260 = 187/ 1150
0.16886 = 115/  681  0.16898 = 316/ 1870  0.16899 = 133/  787  0.16900 = 169/ 1000
0.16910 = 301/ 1780  0.16913 = 274/ 1620  0.16923 = 121/  715  0.16927 = 562/ 3320
0.16928 = 237/ 1400  0.16929 = 215/ 1270  0.16933 = 127/  750  0.16934 = 464/ 2740
0.16934 = 442/ 2610  0.16938 = 249/ 1470  0.16938 = 332/ 1960  0.16940 = 681/ 4020
0.16940 = 825/ 4870  0.16941 = 154/  909  0.16942 = 205/ 1210  0.16943 = 715/ 4220
0.16945 = 649/ 3830  0.16946 = 383/ 2260  0.16947 = 866/ 5110  0.16947 = 422/ 2490
0.16948 = 261/ 1540  0.16949 = 100/  590  0.16949 = 110/  649  0.16952 = 178/ 1050
0.16954 = 590/ 3480  0.16957 = 953/ 5620  0.16958 = 619/ 3650  0.16958 = 909/ 5360
0.16961 = 787/ 4640  0.16962 = 536/ 3160  0.16962 = 402/ 2370  0.16962 = 105/  619
0.16968 = 750/ 4420  0.16968 = 487/ 2870  0.16969 = 140/  825  0.16974 = 147/  866
0.16975 = 348/ 2050  0.16976 = 511/ 3010  0.16976 = 365/ 2150  0.16982 = 287/ 1690
0.16992 = 226/ 1330  0.16998 = 162/  953  0.17000 = 187/ 1100  0.17043 = 196/ 1150
0.17716 = 287/ 1620  0.17719 = 115/  649  0.17733 = 133/  750  0.17733 = 169/  953
0.17751 = 442/ 2490  0.17752 = 316/ 1780  0.17754 = 332/ 1870  0.17755 = 261/ 1470
0.17755 = 348/ 1960  0.17762 = 127/  715  0.17767 = 121/  681  0.17768 = 215/ 1210
0.17770 = 110/  619  0.17771 = 590/ 3320  0.17772 = 750/ 4220  0.17773 = 487/ 2740
0.17777 = 464/ 2610  0.17779 = 953/ 5360  0.17780 = 825/ 4640  0.17780 = 681/ 3830
0.17780 = 649/ 3650  0.17782 = 866/ 4870  0.17782 = 154/  866  0.17784 = 562/ 3160
0.17785 = 249/ 1400  0.17786 = 715/ 4020  0.17787 = 619/ 3480  0.17787 = 402/ 2260
0.17788 = 909/ 5110  0.17789 = 140/  787  0.17792 = 274/ 1540  0.17793 = 100/  562
0.17795 = 226/ 1270  0.17796 = 105/  590  0.17800 = 178/ 1000  0.17804 = 365/ 2050
0.17804 = 511/ 2870  0.17805 = 787/ 4420  0.17805 = 422/ 2370  0.17807 = 536/ 3010
0.17809 = 187/ 1050  0.17810 = 301/ 1690  0.17813 = 383/ 2150  0.17818 = 147/  825
0.17818 = 196/ 1100  0.17819 = 237/ 1330  0.17821 = 162/  909  0.17826 = 205/ 1150
0.18578 = 115/  619  0.18580 = 301/ 1620  0.18591 = 169/  909  0.18601 = 133/  715
0.18609 = 348/ 1870  0.18622 = 365/ 1960  0.18634 = 464/ 2490  0.18636 = 205/ 1100
0.18636 = 287/ 1540  0.18639 = 274/ 1470  0.18642 = 261/ 1400  0.18644 = 121/  649
0.18644 = 110/  590  0.18644 = 619/ 3320  0.18649 = 127/  681  0.18649 = 787/ 4220
0.18649 = 649/ 3480  0.18649 = 511/ 2740  0.18649 = 953/ 5110  0.18649 = 442/ 2370
0.18651 = 332/ 1780  0.18656 = 750/ 4020  0.18656 = 100/  536  0.18657 = 681/ 3650
0.18659 = 487/ 2610  0.18661 = 237/ 1270  0.18663 = 866/ 4640  0.18665 = 825/ 4420
0.18665 = 909/ 4870  0.18666 = 154/  825  0.18666 = 196/ 1050  0.18666 = 140/  750
0.18668 = 715/ 3830  0.18670 = 590/ 3160  0.18671 = 562/ 3010  0.18672 = 422/ 2260
0.18675 = 536/ 2870  0.18677 = 226/ 1210  0.18677 = 178/  953  0.18678 = 147/  787
0.18682 = 383/ 2050  0.18683 = 105/  562  0.18695 = 215/ 1150  0.18697 = 402/ 2150
0.18698 = 316/ 1690  0.18700 = 187/ 1000  0.18706 = 162/  866  0.18721 = 249/ 1330
0.19491 = 115/  590  0.19506 = 316/ 1620  0.19515 = 169/  866  0.19518 = 365/ 1870
0.19523 = 287/ 1470  0.19523 = 205/ 1050  0.19530 = 133/  681  0.19540 = 383/ 1960
0.19545 = 301/ 1540  0.19545 = 215/ 1100  0.19547 = 121/  619  0.19548 = 649/ 3320
0.19549 = 825/ 4220  0.19550 = 348/ 1780  0.19557 = 442/ 2260  0.19558 = 487/ 2490
0.19562 = 536/ 2740  0.19567 = 154/  787  0.19568 = 127/  649  0.19568 = 953/ 4870
0.19568 = 681/ 3480  0.19569 = 100/  511  0.19571 = 274/ 1400  0.19572 = 110/  562
0.19577 = 787/ 4020  0.19578 = 464/ 2370  0.19578 = 511/ 2610  0.19580 = 140/  715
0.19581 = 562/ 2870  0.19581 = 178/  909  0.19582 = 750/ 3830  0.19586 = 237/ 1210
0.19588 = 619/ 3160  0.19589 = 715/ 3650  0.19589 = 105/  536  0.19590 = 909/ 4640
0.19592 = 866/ 4420  0.19600 = 196/ 1000  0.19600 = 147/  750  0.19601 = 590/ 3010
0.19606 = 249/ 1270  0.19609 = 402/ 2050  0.19622 = 187/  953  0.19624 = 261/ 1330
0.19627 = 422/ 2150  0.19636 = 162/  825  0.19644 = 332/ 1690  0.19652 = 226/ 1150
0.20462 = 115/  562  0.20476 = 215/ 1050  0.20476 = 301/ 1470  0.20481 = 383/ 1870
0.20484 = 169/  825  0.20493 = 133/  649  0.20493 = 332/ 1620  0.20500 = 287/ 1400
0.20500 = 205/ 1000  0.20505 = 365/ 1780  0.20508 = 121/  590  0.20510 = 402/ 1960
0.20510 = 562/ 2740  0.20512 = 681/ 3320  0.20516 = 127/  619  0.20519 = 316/ 1540
0.20521 = 866/ 4220  0.20522 = 511/ 2490  0.20522 = 825/ 4020  0.20522 = 110/  536
0.20530 = 464/ 2260  0.20533 = 154/  750  0.20533 = 100/  487  0.20536 = 536/ 2610
0.20537 = 649/ 3160  0.20538 = 953/ 4640  0.20545 = 226/ 1100  0.20545 = 715/ 3480
0.20547 = 750/ 3650  0.20547 = 105/  511  0.20548 = 787/ 3830  0.20548 = 487/ 2370
0.20551 = 261/ 1270  0.20554 = 178/  866  0.20557 = 590/ 2870  0.20558 = 140/  681
0.20558 = 442/ 2150  0.20559 = 147/  715  0.20564 = 619/ 3010  0.20565 = 909/ 4420
0.20566 = 196/  953  0.20572 = 187/  909  0.20578 = 249/ 1210  0.20584 = 162/  787
0.20585 = 422/ 2050  0.20591 = 348/ 1690  0.20601 = 274/ 1330  0.20608 = 237/ 1150
0.21455 = 115/  536  0.21473 = 169/  787  0.21481 = 348/ 1620  0.21486 = 133/  619
0.21496 = 316/ 1470  0.21497 = 402/ 1870  0.21500 = 301/ 1400  0.21500 = 215/ 1000
0.21511 = 205/  953  0.21516 = 383/ 1780  0.21523 = 226/ 1050  0.21525 = 127/  590
0.21526 = 536/ 2490  0.21526 = 110/  511  0.21530 = 121/  562  0.21530 = 422/ 1960
0.21532 = 562/ 2610  0.21532 = 590/ 2740  0.21536 = 715/ 3320  0.21538 = 154/  715
0.21540 = 909/ 4220  0.21540 = 825/ 3830  0.21542 = 866/ 4020  0.21545 = 237/ 1100
0.21548 = 487/ 2260  0.21550 = 681/ 3160  0.21551 = 100/  464  0.21551 = 750/ 3480
0.21558 = 332/ 1540  0.21560 = 105/  487  0.21560 = 442/ 2050  0.21561 = 953/ 4420
0.21561 = 511/ 2370  0.21561 = 649/ 3010  0.21561 = 787/ 3650  0.21562 = 196/  909
0.21567 = 619/ 2870  0.21570 = 261/ 1210  0.21571 = 140/  649  0.21574 = 274/ 1270
0.21575 = 178/  825  0.21578 = 287/ 1330  0.21581 = 464/ 2150  0.21585 = 147/  681
0.21593 = 187/  866  0.21597 = 365/ 1690  0.21600 = 162/  750  0.21652 = 249/ 1150
0.22504 = 115/  511  0.22530 = 365/ 1620  0.22533 = 169/  750  0.22542 = 133/  590
0.22551 = 442/ 1960  0.22552 = 205/  909  0.22560 = 215/  953  0.22566 = 422/ 1870
0.22570 = 562/ 2490  0.22571 = 237/ 1050  0.22571 = 316/ 1400  0.22574 = 121/  536
0.22582 = 953/ 4220  0.22584 = 402/ 1780  0.22585 = 332/ 1470  0.22587 = 110/  487
0.22590 = 750/ 3320  0.22591 = 619/ 2740  0.22597 = 348/ 1540  0.22597 = 127/  562
0.22598 = 287/ 1270  0.22600 = 226/ 1000  0.22602 = 825/ 3650  0.22605 = 590/ 2610
0.22610 = 511/ 2260  0.22610 = 866/ 3830  0.22611 = 909/ 4020  0.22613 = 649/ 2870
0.22613 = 154/  681  0.22614 = 787/ 3480  0.22616 = 536/ 2370  0.22617 = 140/  619
0.22617 = 178/  787  0.22624 = 100/  442  0.22624 = 681/ 3010  0.22626 = 715/ 3160
0.22629 = 105/  464  0.22631 = 301/ 1330  0.22632 = 196/  866  0.22634 = 464/ 2050
0.22636 = 249/ 1100  0.22644 = 274/ 1210  0.22650 = 147/  649  0.22651 = 487/ 2150
0.22657 = 162/  715  0.22662 = 383/ 1690  0.22666 = 187/  825  0.22695 = 261/ 1150
0.23613 = 115/  487  0.23636 = 442/ 1870  0.23636 = 169/  715  0.23641 = 383/ 1620
0.23652 = 215/  909  0.23665 = 133/  562  0.23672 = 205/  866  0.23673 = 348/ 1470
0.23673 = 464/ 1960  0.23679 = 121/  511  0.23686 = 649/ 2740  0.23694 = 127/  536
0.23694 = 590/ 2490  0.23696 = 100/  422  0.23700 = 237/ 1000  0.23700 = 301/ 1270
0.23701 = 365/ 1540  0.23704 = 787/ 3320  0.23706 = 953/ 4020  0.23706 = 825/ 3480
0.23706 = 110/  464  0.23707 = 422/ 1780  0.23713 = 562/ 2370  0.23714 = 249/ 1050
0.23714 = 332/ 1400  0.23714 = 226/  953  0.23716 = 619/ 2610  0.23716 = 536/ 2260
0.23719 = 287/ 1210  0.23726 = 866/ 3650  0.23727 = 261/ 1100  0.23728 = 681/ 2870
0.23728 = 140/  590  0.23728 = 154/  649  0.23733 = 178/  750  0.23733 = 909/ 3830
0.23734 = 750/ 3160  0.23747 = 147/  619  0.23754 = 715/ 3010  0.23755 = 105/  442
0.23756 = 487/ 2050  0.23757 = 196/  825  0.23759 = 316/ 1330  0.23761 = 187/  787
0.23767 = 511/ 2150  0.23786 = 402/ 1690  0.23788 = 162/  681  0.23826 = 274/ 1150
0.24784 = 115/  464  0.24812 = 464/ 1870  0.24813 = 133/  536  0.24814 = 402/ 1620
0.24816 = 169/  681  0.24826 = 215/  866  0.24829 = 365/ 1470  0.24831 = 442/ 1780
0.24845 = 121/  487  0.24846 = 487/ 1960  0.24848 = 205/  825  0.24849 = 825/ 3320
0.24853 = 127/  511  0.24854 = 681/ 2740  0.24857 = 261/ 1050  0.24857 = 348/ 1400
0.24859 = 619/ 2490  0.24862 = 226/  909  0.24865 = 649/ 2610  0.24867 = 562/ 2260
0.24868 = 237/  953  0.24870 = 383/ 1540  0.24875 = 100/  402  0.24876 = 301/ 1210
0.24878 = 154/  619  0.24881 = 105/  422  0.24881 = 316/ 1270  0.24882 = 953/ 3830
0.24885 = 866/ 3480  0.24886 = 110/  442  0.24894 = 590/ 2370  0.24895 = 178/  715
0.24900 = 249/ 1000  0.24904 = 909/ 3650  0.24904 = 196/  787  0.24905 = 787/ 3160
0.24909 = 274/ 1100  0.24911 = 140/  562  0.24912 = 715/ 2870  0.24915 = 147/  590
0.24916 = 750/ 3010  0.24926 = 511/ 2050  0.24930 = 536/ 2150  0.24933 = 187/  750
0.24956 = 287/ 1150  0.24961 = 162/  649  0.24962 = 332/ 1330  0.24970 = 422/ 1690
0.26018 = 115/  442  0.26027 = 133/  511  0.26040 = 169/  649  0.26042 = 487/ 1870
0.26048 = 205/  787  0.26049 = 422/ 1620  0.26054 = 383/ 1470  0.26060 = 215/  825
0.26064 = 649/ 2490  0.26066 = 110/  422  0.26067 = 464/ 1780  0.26071 = 365/ 1400
0.26071 = 511/ 1960  0.26072 = 237/  909  0.26077 = 121/  464  0.26078 = 127/  487
0.26084 = 866/ 3320  0.26090 = 287/ 1100  0.26091 = 681/ 2610  0.26094 = 715/ 2740
0.26095 = 274/ 1050  0.26096 = 226/  866  0.26100 = 261/ 1000  0.26101 = 154/  590
0.26103 = 402/ 1540  0.26106 = 590/ 2260  0.26107 = 825/ 3160  0.26109 = 953/ 3650
0.26109 = 100/  383  0.26115 = 316/ 1210  0.26118 = 619/ 2370  0.26119 = 140/  536
0.26119 = 105/  402  0.26120 = 909/ 3480  0.26128 = 249/  953  0.26132 = 750/ 2870
0.26133 = 196/  750  0.26138 = 178/  681  0.26139 = 562/ 2150  0.26141 = 332/ 1270
0.26146 = 787/ 3010  0.26146 = 536/ 2050  0.26153 = 187/  715  0.26153 = 442/ 1690
0.26156 = 147/  562  0.26165 = 348/ 1330  0.26171 = 162/  619  0.26173 = 301/ 1150
0.27251 = 115/  422  0.27283 = 442/ 1620  0.27302 = 169/  619  0.27310 = 133/  487
0.27318 = 215/  787  0.27326 = 511/ 1870  0.27333 = 205/  750  0.27333 = 287/ 1050
0.27346 = 402/ 1470  0.27346 = 536/ 1960  0.27349 = 681/ 2490  0.27357 = 383/ 1400
0.27359 = 487/ 1780  0.27363 = 110/  402  0.27363 = 301/ 1100  0.27367 = 237/  866
0.27370 = 127/  464  0.27372 = 750/ 2740  0.27375 = 121/  442  0.27379 = 909/ 3320
0.27383 = 649/ 2370  0.27385 = 953/ 3480  0.27387 = 261/  953  0.27389 = 619/ 2260
0.27392 = 249/  909  0.27393 = 226/  825  0.27394 = 715/ 2610  0.27397 = 140/  511
0.27397 = 100/  365  0.27400 = 274/ 1000  0.27401 = 348/ 1270  0.27402 = 154/  562
0.27402 = 422/ 1540  0.27405 = 866/ 3160  0.27408 = 825/ 3010  0.27412 = 196/  715
0.27414 = 562/ 2050  0.27415 = 105/  383  0.27421 = 787/ 2870  0.27425 = 147/  536
0.27426 = 178/  649  0.27438 = 332/ 1210  0.27441 = 590/ 2150  0.27443 = 365/ 1330
0.27455 = 464/ 1690  0.27457 = 162/  590  0.27459 = 187/  681  0.27478 = 316/ 1150
0.28606 = 115/  402  0.28641 = 464/ 1620  0.28644 = 169/  590  0.28663 = 536/ 1870
0.28663 = 133/  464  0.28666 = 301/ 1050  0.28666 = 215/  750  0.28671 = 205/  715
0.28672 = 121/  422  0.28673 = 562/ 1960  0.28700 = 287/ 1000  0.28701 = 442/ 1540
0.28704 = 953/ 3320  0.28707 = 422/ 1470  0.28707 = 511/ 1780  0.28712 = 261/  909
0.28714 = 402/ 1400  0.28714 = 715/ 2490  0.28716 = 226/  787  0.28716 = 649/ 2260
0.28720 = 110/  383  0.28722 = 787/ 2740  0.28727 = 237/  825  0.28727 = 316/ 1100
0.28731 = 154/  536  0.28733 = 127/  442  0.28734 = 681/ 2370  0.28735 = 100/  348
0.28735 = 750/ 2610  0.28740 = 365/ 1270  0.28745 = 825/ 2870  0.28747 = 140/  487
0.28751 = 274/  953  0.28752 = 249/  866  0.28756 = 178/  619  0.28760 = 348/ 1210
0.28765 = 909/ 3160  0.28767 = 105/  365  0.28767 = 147/  511  0.28770 = 866/ 3010
0.28780 = 590/ 2050  0.28781 = 196/  681  0.28790 = 619/ 2150  0.28796 = 383/ 1330
0.28813 = 187/  649  0.28816 = 487/ 1690  0.28825 = 162/  562  0.28869 = 332/ 1150
0.30026 = 115/  383  0.30053 = 562/ 1870  0.30061 = 487/ 1620  0.30068 = 442/ 1470
0.30069 = 215/  715  0.30071 = 169/  562  0.30090 = 133/  442  0.30094 = 127/  422
0.30095 = 316/ 1050  0.30099 = 121/  402  0.30100 = 301/ 1000  0.30102 = 590/ 1960
0.30102 = 205/  681  0.30109 = 825/ 2740  0.30112 = 536/ 1780  0.30114 = 237/  787
0.30115 = 287/  953  0.30120 = 750/ 2490  0.30120 = 100/  332  0.30129 = 464/ 1540
0.30132 = 681/ 2260  0.30133 = 226/  750  0.30136 = 154/  511  0.30136 = 110/  365
0.30138 = 261/  866  0.30142 = 422/ 1400  0.30143 = 274/  909  0.30153 = 787/ 2610
0.30157 = 383/ 1270  0.30158 = 953/ 3160  0.30165 = 365/ 1210  0.30168 = 715/ 2370
0.30169 = 178/  590  0.30172 = 140/  464  0.30172 = 105/  348  0.30174 = 866/ 2870
0.30181 = 332/ 1100  0.30181 = 249/  825  0.30184 = 147/  487  0.30186 = 649/ 2150
0.30195 = 619/ 2050  0.30199 = 909/ 3010  0.30200 = 196/  649  0.30210 = 187/  619
0.30223 = 162/  536  0.30225 = 402/ 1330  0.30236 = 511/ 1690  0.30260 = 348/ 1150
0.31506 = 115/  365  0.31516 = 133/  422  0.31529 = 169/  536  0.31543 = 511/ 1620
0.31550 = 590/ 1870  0.31564 = 464/ 1470  0.31571 = 215/  681  0.31571 = 442/ 1400
0.31573 = 562/ 1780  0.31573 = 287/  909  0.31581 = 619/ 1960  0.31584 = 301/  953
0.31587 = 205/  649  0.31592 = 127/  402  0.31592 = 121/  383  0.31600 = 237/  750
0.31600 = 316/ 1000  0.31605 = 866/ 2740  0.31606 = 787/ 2490  0.31608 = 226/  715
0.31609 = 110/  348  0.31609 = 825/ 2610  0.31619 = 332/ 1050  0.31622 = 154/  487
0.31623 = 487/ 1540  0.31626 = 105/  332  0.31636 = 348/ 1100  0.31636 = 261/  825
0.31637 = 715/ 2260  0.31639 = 249/  787  0.31639 = 274/  866  0.31645 = 750/ 2370
0.31645 = 100/  316  0.31652 = 383/ 1210  0.31653 = 402/ 1270  0.31658 = 649/ 2050
0.31661 = 953/ 3010  0.31663 = 196/  619  0.31672 = 909/ 2870  0.31672 = 178/  562
0.31674 = 140/  442  0.31674 = 681/ 2150  0.31681 = 147/  464  0.31694 = 187/  590
0.31702 = 162/  511  0.31715 = 536/ 1690  0.31729 = 422/ 1330  0.31739 = 365/ 1150
0.33045 = 115/  348  0.33072 = 169/  511  0.33084 = 133/  402  0.33086 = 536/ 1620
0.33101 = 619/ 1870  0.33112 = 649/ 1960  0.33113 = 301/  909  0.33117 = 205/  619
0.33127 = 215/  649  0.33129 = 487/ 1470  0.33132 = 825/ 2490  0.33132 = 110/  332
0.33140 = 287/  866  0.33142 = 348/ 1050  0.33142 = 464/ 1400  0.33146 = 590/ 1780
0.33146 = 237/  715  0.33150 = 121/  365  0.33158 = 316/  953  0.33159 = 127/  383
0.33163 = 261/  787  0.33175 = 909/ 2740  0.33175 = 140/  422  0.33180 = 866/ 2610
0.33181 = 511/ 1540  0.33181 = 365/ 1100  0.33185 = 750/ 2260  0.33186 = 226/  681
0.33189 = 154/  464  0.33200 = 332/ 1000  0.33200 = 249/  750  0.33205 = 953/ 2870
0.33206 = 787/ 2370  0.33208 = 178/  536  0.33212 = 274/  825  0.33219 = 681/ 2050
0.33220 = 196/  590  0.33222 = 100/  301  0.33223 = 402/ 1210  0.33227 = 105/  316
0.33228 = 422/ 1270  0.33233 = 442/ 1330  0.33254 = 562/ 1690  0.33255 = 715/ 2150
0.33257 = 147/  442  0.33264 = 162/  487  0.33274 = 187/  562  0.33304 = 383/ 1150
0.34638 = 115/  332  0.34691 = 562/ 1620  0.34702 = 169/  487  0.34705 = 649/ 1870
0.34725 = 133/  383  0.34733 = 215/  619  0.34744 = 681/ 1960  0.34745 = 205/  590
0.34757 = 301/  866  0.34761 = 365/ 1050  0.34761 = 511/ 1470  0.34763 = 316/  909
0.34770 = 121/  348  0.34775 = 619/ 1780  0.34779 = 866/ 2490  0.34781 = 953/ 2740
0.34785 = 487/ 1400  0.34787 = 287/  825  0.34794 = 127/  365  0.34800 = 348/ 1000
0.34800 = 261/  750  0.34801 = 237/  681  0.34803 = 442/ 1270  0.34805 = 536/ 1540
0.34810 = 110/  316  0.34810 = 825/ 2370  0.34815 = 274/  787  0.34818 = 383/ 1100
0.34822 = 226/  649  0.34823 = 787/ 2260  0.34825 = 249/  715  0.34825 = 140/  402
0.34827 = 909/ 2610  0.34833 = 178/  511  0.34834 = 147/  422  0.34837 = 332/  953
0.34841 = 154/  442  0.34843 = 100/  287  0.34875 = 196/  562  0.34876 = 422/ 1210
0.34878 = 715/ 2050  0.34883 = 750/ 2150  0.34883 = 105/  301  0.34887 = 464/ 1330
0.34888 = 187/  536  0.34911 = 590/ 1690  0.34913 = 162/  464  0.34956 = 402/ 1150
0.36392 = 115/  316  0.36417 = 681/ 1870  0.36419 = 590/ 1620  0.36422 = 169/  464
0.36438 = 133/  365  0.36440 = 215/  590  0.36445 = 121/  332  0.36460 = 649/ 1780
0.36462 = 536/ 1470  0.36467 = 287/  787  0.36476 = 383/ 1050  0.36476 = 205/  562
0.36479 = 715/ 1960  0.36484 = 301/  825  0.36489 = 316/  866  0.36492 = 154/  422
0.36493 = 562/ 1540  0.36494 = 127/  348  0.36496 = 100/  274  0.36500 = 511/ 1400
0.36500 = 365/ 1000  0.36503 = 261/  715  0.36504 = 825/ 2260  0.36506 = 909/ 2490
0.36510 = 226/  619  0.36513 = 953/ 2610  0.36516 = 348/  953  0.36517 = 237/  649
0.36523 = 332/  909  0.36528 = 442/ 1210  0.36533 = 274/  750  0.36535 = 464/ 1270
0.36540 = 866/ 2370  0.36544 = 110/  301  0.36545 = 402/ 1100  0.36550 = 178/  487
0.36553 = 140/  383  0.36563 = 249/  681  0.36567 = 196/  536  0.36567 = 147/  402
0.36585 = 105/  287  0.36585 = 750/ 2050  0.36594 = 187/  511  0.36604 = 787/ 2150
0.36616 = 487/ 1330  0.36627 = 619/ 1690  0.36651 = 162/  442  0.36695 = 422/ 1150
0.38205 = 115/  301  0.38209 = 619/ 1620  0.38218 = 133/  348  0.38231 = 562/ 1470
0.38235 = 169/  442  0.38235 = 715/ 1870  0.38246 = 205/  536  0.38246 = 301/  787
0.38253 = 127/  332  0.38256 = 215/  562  0.38258 = 681/ 1780  0.38265 = 750/ 1960
0.38266 = 287/  750  0.38273 = 953/ 2490  0.38283 = 348/  909  0.38285 = 402/ 1050
0.38285 = 536/ 1400  0.38287 = 237/  619  0.38291 = 121/  316  0.38300 = 383/ 1000
0.38300 = 365/  953  0.38303 = 316/  825  0.38305 = 226/  590  0.38308 = 154/  402
0.38311 = 590/ 1540  0.38314 = 100/  261  0.38318 = 866/ 2260  0.38321 = 105/  274
0.38321 = 274/  715  0.38325 = 261/  681  0.38327 = 110/  287  0.38337 = 332/  866
0.38346 = 487/ 1270  0.38347 = 464/ 1210  0.38354 = 909/ 2370  0.38356 = 196/  511
0.38356 = 140/  365  0.38362 = 178/  464  0.38363 = 422/ 1100  0.38366 = 249/  649
0.38372 = 825/ 2150  0.38381 = 147/  383  0.38388 = 162/  422  0.38390 = 787/ 2050
0.38398 = 187/  487  0.38402 = 649/ 1690  0.38421 = 511/ 1330  0.38434 = 442/ 1150
0.40047 = 169/  422  0.40060 = 133/  332  0.40061 = 649/ 1620  0.40069 = 115/  287
0.40106 = 750/ 1870  0.40111 = 215/  536  0.40117 = 205/  511  0.40133 = 301/  750
0.40136 = 590/ 1470  0.40139 = 287/  715  0.40142 = 562/ 1400  0.40145 = 110/  274
0.40152 = 316/  787  0.40153 = 787/ 1960  0.40154 = 365/  909  0.40160 = 100/  249
0.40168 = 715/ 1780  0.40169 = 237/  590  0.40181 = 442/ 1100  0.40184 = 348/  866
0.40188 = 383/  953  0.40189 = 127/  316  0.40190 = 422/ 1050  0.40194 = 619/ 1540
0.40199 = 121/  301  0.40200 = 402/ 1000  0.40208 = 154/  383  0.40210 = 953/ 2370
0.40213 = 226/  562  0.40215 = 261/  649  0.40221 = 909/ 2260  0.40226 = 249/  619
0.40229 = 140/  348  0.40229 = 105/  261  0.40234 = 274/  681  0.40236 = 511/ 1270
0.40242 = 332/  825  0.40243 = 825/ 2050  0.40246 = 196/  487  0.40247 = 487/ 1210
0.40271 = 178/  442  0.40273 = 147/  365  0.40279 = 866/ 2150  0.40295 = 681/ 1690
0.40298 = 162/  402  0.40300 = 536/ 1330  0.40301 = 187/  464  0.40347 = 464/ 1150
0.41970 = 115/  274  0.42037 = 681/ 1620  0.42039 = 169/  402  0.42074 = 215/  511
0.42085 = 787/ 1870  0.42088 = 133/  316  0.42091 = 825/ 1960  0.42094 = 205/  487
0.42095 = 442/ 1050  0.42097 = 301/  715  0.42108 = 619/ 1470  0.42133 = 316/  750
0.42134 = 383/  909  0.42134 = 750/ 1780  0.42142 = 649/ 1540  0.42142 = 590/ 1400
0.42143 = 287/  681  0.42145 = 110/  261  0.42147 = 365/  866  0.42160 = 121/  287
0.42164 = 226/  536  0.42164 = 261/  619  0.42168 = 953/ 2260  0.42168 = 105/  249
0.42168 = 140/  332  0.42170 = 237/  562  0.42180 = 178/  422  0.42181 = 348/  825
0.42181 = 464/ 1100  0.42182 = 402/  953  0.42185 = 332/  787  0.42191 = 154/  365
0.42192 = 127/  301  0.42194 = 100/  237  0.42200 = 422/ 1000  0.42203 = 249/  590
0.42204 = 536/ 1270  0.42218 = 274/  649  0.42231 = 511/ 1210  0.42241 = 196/  464
0.42241 = 147/  348  0.42243 = 866/ 2050  0.42255 = 562/ 1330  0.42279 = 909/ 2150
0.42297 = 162/  383  0.42307 = 715/ 1690  0.42307 = 187/  442  0.42347 = 487/ 1150
0.44061 = 115/  261  0.44117 = 825/ 1870  0.44125 = 169/  383  0.44135 = 715/ 1620
0.44147 = 215/  487  0.44149 = 649/ 1470  0.44160 = 121/  274  0.44176 = 110/  249
0.44181 = 205/  464  0.44183 = 866/ 1960  0.44186 = 133/  301  0.44190 = 464/ 1050
0.44195 = 316/  715  0.44199 = 301/  681  0.44200 = 442/ 1000  0.44213 = 787/ 1780
0.44214 = 619/ 1400  0.44216 = 237/  536  0.44218 = 348/  787  0.44220 = 681/ 1540
0.44221 = 287/  649  0.44224 = 402/  909  0.44226 = 383/  866  0.44227 = 226/  511
0.44237 = 261/  590  0.44242 = 365/  825  0.44247 = 100/  226  0.44250 = 127/  287
0.44251 = 562/ 1270  0.44252 = 154/  348  0.44264 = 274/  619  0.44266 = 332/  750
0.44272 = 487/ 1100  0.44277 = 147/  332  0.44278 = 178/  402  0.44281 = 422/  953
0.44297 = 536/ 1210  0.44303 = 140/  316  0.44303 = 105/  237  0.44306 = 249/  562
0.44312 = 187/  422  0.44325 = 953/ 2150  0.44341 = 909/ 2050  0.44343 = 196/  442
0.44360 = 590/ 1330  0.44378 = 750/ 1690  0.44383 = 162/  365  0.44434 = 511/ 1150
0.46184 = 115/  249  0.46296 = 750/ 1620  0.46301 = 169/  365  0.46310 = 866/ 1870
0.46326 = 681/ 1470  0.46336 = 215/  464  0.46341 = 133/  287  0.46348 = 825/ 1780
0.46350 = 127/  274  0.46357 = 649/ 1400  0.46360 = 121/  261  0.46365 = 287/  619
0.46377 = 909/ 1960  0.46378 = 365/  787  0.46379 = 301/  649  0.46379 = 237/  511
0.46379 = 442/  953  0.46380 = 205/  442  0.46380 = 487/ 1050  0.46385 = 154/  332
0.46400 = 348/  750  0.46400 = 464/ 1000  0.46402 = 316/  681  0.46406 = 226/  487
0.46413 = 110/  237  0.46420 = 402/  866  0.46424 = 383/  825  0.46424 = 422/  909
0.46428 = 715/ 1540  0.46433 = 332/  715  0.46440 = 274/  590  0.46441 = 261/  562
0.46445 = 196/  422  0.46446 = 562/ 1210  0.46454 = 511/ 1100  0.46455 = 249/  536
0.46456 = 590/ 1270  0.46460 = 105/  226  0.46475 = 178/  383  0.46487 = 953/ 2050
0.46511 = 140/  301  0.46511 = 100/  215  0.46517 = 187/  402  0.46518 = 147/  316
0.46541 = 619/ 1330  0.46551 = 162/  348  0.46568 = 787/ 1690  0.46608 = 536/ 1150
0.48523 = 115/  237  0.48540 = 133/  274  0.48563 = 169/  348  0.48578 = 205/  422
0.48580 = 787/ 1620  0.48594 = 121/  249  0.48609 = 909/ 1870  0.48622 = 953/ 1960
0.48624 = 442/  909  0.48626 = 301/  619  0.48639 = 715/ 1470  0.48642 = 215/  442
0.48642 = 681/ 1400  0.48644 = 287/  590  0.48651 = 866/ 1780  0.48659 = 127/  261
0.48665 = 237/  487  0.48665 = 383/  787  0.48666 = 511/ 1050  0.48666 = 365/  750
0.48671 = 348/  715  0.48672 = 110/  226  0.48688 = 464/  953  0.48690 = 316/  649
0.48694 = 261/  536  0.48700 = 487/ 1000  0.48701 = 750/ 1540  0.48706 = 226/  464
0.48727 = 402/  825  0.48727 = 536/ 1100  0.48727 = 249/  511  0.48729 = 422/  866
0.48734 = 154/  316  0.48740 = 619/ 1270  0.48751 = 332/  681  0.48754 = 274/  562
0.48756 = 196/  402  0.48760 = 590/ 1210  0.48767 = 178/  365  0.48780 = 140/  287
0.48780 = 100/  205  0.48795 = 162/  332  0.48796 = 649/ 1330  0.48816 = 825/ 1690
0.48825 = 187/  383  0.48837 = 147/  301  0.48837 = 105/  215  0.48869 = 562/ 1150
0.50884 = 115/  226  0.50903 = 169/  332  0.50925 = 825/ 1620  0.50947 = 215/  422
0.50957 = 133/  261  0.50962 = 953/ 1870  0.50995 = 205/  402  0.51004 = 127/  249
0.51016 = 301/  590  0.51020 = 750/ 1470  0.51020 = 100/  196  0.51039 = 442/  866
0.51045 = 464/  909  0.51047 = 536/ 1050  0.51048 = 365/  715  0.51050 = 316/  619
0.51054 = 121/  237  0.51066 = 383/  750  0.51067 = 909/ 1780  0.51067 = 287/  562
0.51071 = 715/ 1400  0.51076 = 261/  511  0.51077 = 237/  464  0.51080 = 402/  787
0.51090 = 562/ 1100  0.51094 = 140/  274  0.51100 = 511/ 1000  0.51101 = 348/  681
0.51101 = 487/  953  0.51102 = 649/ 1270  0.51103 = 787/ 1540  0.51119 = 274/  536
0.51129 = 249/  487  0.51131 = 226/  442  0.51149 = 178/  348  0.51151 = 422/  825
0.51155 = 332/  649  0.51157 = 619/ 1210  0.51162 = 110/  215  0.51162 = 154/  301
0.51174 = 196/  383  0.51203 = 681/ 1330  0.51219 = 105/  205  0.51219 = 147/  287
0.51232 = 187/  365  0.51242 = 866/ 1690  0.51265 = 162/  316  0.51304 = 590/ 1150
0.53413 = 133/  249  0.53456 = 866/ 1620  0.53475 = 100/  187  0.53481 = 169/  316
0.53482 = 215/  402  0.53488 = 115/  215  0.53523 = 562/ 1050  0.53524 = 205/  383
0.53537 = 787/ 1470  0.53539 = 953/ 1780  0.53539 = 121/  226  0.53544 = 287/  536
0.53554 = 226/  422  0.53558 = 301/  562  0.53559 = 316/  590  0.53566 = 383/  715
0.53571 = 105/  196  0.53571 = 825/ 1540  0.53571 = 750/ 1400  0.53575 = 487/  909
0.53575 = 442/  825  0.53579 = 464/  866  0.53586 = 127/  237  0.53593 = 261/  487
0.53597 = 365/  681  0.53600 = 402/  750  0.53600 = 536/ 1000  0.53614 = 178/  332
0.53619 = 237/  442  0.53620 = 511/  953  0.53620 = 274/  511  0.53620 = 348/  649
0.53621 = 422/  787  0.53622 = 681/ 1270  0.53634 = 332/  619  0.53636 = 649/ 1210
0.53636 = 590/ 1100  0.53639 = 140/  261  0.53649 = 147/  274  0.53658 = 154/  287
0.53658 = 110/  205  0.53663 = 249/  464  0.53698 = 196/  365  0.53735 = 187/  348
0.53759 = 715/ 1330  0.53786 = 909/ 1690  0.53820 = 162/  301  0.53826 = 619/ 1150
0.56097 = 115/  205  0.56111 = 909/ 1620  0.56118 = 133/  237  0.56122 = 825/ 1470
0.56122 = 110/  196  0.56135 = 215/  383  0.56146 = 169/  301  0.56149 = 105/  187
0.56156 = 301/  536  0.56161 = 237/  422  0.56162 = 442/  787  0.56164 = 287/  511
0.56164 = 205/  365  0.56179 = 100/  178  0.56190 = 590/ 1050  0.56194 = 127/  226
0.56200 = 562/ 1000  0.56204 = 154/  274  0.56214 = 787/ 1400  0.56215 = 511/  909
0.56218 = 226/  402  0.56219 = 348/  619  0.56223 = 402/  715  0.56224 = 140/  249
0.56227 = 316/  562  0.56233 = 866/ 1540  0.56235 = 487/  866  0.56240 = 365/  649
0.56240 = 383/  681  0.56242 = 464/  825  0.56243 = 536/  953  0.56250 = 261/  464
0.56262 = 274/  487  0.56266 = 422/  750  0.56271 = 332/  590  0.56272 = 619/ 1100
0.56279 = 121/  215  0.56280 = 681/ 1210  0.56299 = 715/ 1270  0.56321 = 147/  261
0.56321 = 196/  348  0.56325 = 187/  332  0.56329 = 178/  316  0.56334 = 249/  442
0.56390 = 953/ 1690  0.56390 = 750/ 1330  0.56434 = 649/ 1150  0.56445 = 162/  287
0.58673 = 115/  196  0.58823 = 110/  187  0.58827 = 953/ 1620  0.58849 = 133/  226
0.58885 = 169/  287  0.58904 = 215/  365  0.58904 = 301/  511  0.58908 = 205/  348
0.58911 = 866/ 1470  0.58928 = 825/ 1400  0.58932 = 287/  487  0.58933 = 442/  750
0.58952 = 619/ 1050  0.58955 = 237/  402  0.58955 = 316/  536  0.58958 = 464/  787
0.58965 = 536/  909  0.58966 = 365/  619  0.58971 = 562/  953  0.58983 = 348/  590
0.58988 = 105/  178  0.59000 = 590/ 1000  0.59000 = 649/ 1100  0.59003 = 154/  261
0.59004 = 249/  422  0.59006 = 511/  866  0.59007 = 226/  383  0.59013 = 383/  649
0.59020 = 422/  715  0.59024 = 121/  205  0.59025 = 909/ 1540  0.59030 = 487/  825
0.59030 = 402/  681  0.59036 = 147/  249  0.59036 = 196/  332  0.59049 = 261/  442
0.59051 = 274/  464  0.59055 = 750/ 1270  0.59069 = 127/  215  0.59071 = 140/  237
0.59074 = 332/  562  0.59090 = 715/ 1210  0.59124 = 162/  274  0.59136 = 178/  301
0.59171 = 100/  169  0.59172 = 787/ 1330  0.59177 = 187/  316  0.59217 = 681/ 1150
0.61497 = 115/  187  0.61678 = 169/  274  0.61728 = 100/  162  0.61734 = 121/  196
0.61746 = 205/  332  0.61781 = 215/  348  0.61797 = 110/  178  0.61806 = 301/  487
0.61809 = 649/ 1050  0.61818 = 442/  715  0.61826 = 562/  909  0.61836 = 909/ 1470
0.61839 = 316/  511  0.61847 = 154/  249  0.61848 = 261/  422  0.61853 = 287/  464
0.61857 = 866/ 1400  0.61860 = 133/  215  0.61864 = 365/  590  0.61866 = 464/  750
0.61873 = 383/  619  0.61879 = 237/  383  0.61880 = 487/  787  0.61883 = 953/ 1540
0.61893 = 536/  866  0.61900 = 619/ 1000  0.61909 = 681/ 1100  0.61909 = 590/  953
0.61917 = 226/  365  0.61921 = 348/  562  0.61939 = 511/  825  0.61940 = 332/  536
0.61940 = 249/  402  0.61941 = 402/  649  0.61946 = 140/  226  0.61951 = 127/  205
0.61967 = 422/  681  0.61968 = 787/ 1270  0.61983 = 750/ 1210  0.61990 = 274/  442
0.62020 = 178/  287  0.62025 = 147/  237  0.62025 = 196/  316  0.62030 = 825/ 1330
0.62068 = 162/  261  0.62126 = 187/  301  0.62130 = 105/  169  0.62173 = 715/ 1150
0.64606 = 115/  178  0.64705 = 121/  187  0.64750 = 169/  261  0.64759 = 215/  332
0.64795 = 127/  196  0.64814 = 105/  162  0.64829 = 953/ 1470  0.64857 = 681/ 1050
0.64870 = 301/  464  0.64873 = 205/  316  0.64878 = 133/  205  0.64887 = 316/  487
0.64895 = 464/  715  0.64896 = 562/  866  0.64900 = 649/ 1000  0.64904 = 442/  681
0.64906 = 590/  909  0.64915 = 383/  590  0.64925 = 261/  402  0.64925 = 348/  536
0.64928 = 909/ 1400  0.64928 = 274/  422  0.64930 = 511/  787  0.64931 = 237/  365
0.64932 = 287/  442  0.64933 = 487/  750  0.64935 = 100/  154  0.64942 = 226/  348
0.64943 = 402/  619  0.64946 = 365/  562  0.64952 = 619/  953  0.64960 = 825/ 1270
0.64963 = 178/  274  0.64969 = 536/  825  0.64970 = 332/  511  0.64978 = 154/  237
0.65000 = 715/ 1100  0.65013 = 249/  383  0.65023 = 422/  649  0.65041 = 787/ 1210
0.65044 = 147/  226  0.65060 = 162/  249  0.65088 = 110/  169  0.65112 = 866/ 1330
0.65116 = 140/  215  0.65116 = 196/  301  0.65156 = 187/  287  0.65217 = 750/ 1150
0.67857 = 133/  196  0.67871 = 169/  249  0.67901 = 110/  162  0.67914 = 127/  187
0.67977 = 121/  178  0.68009 = 287/  422  0.68027 = 100/  147  0.68037 = 215/  316
0.68047 = 115/  169  0.68071 = 953/ 1400  0.68072 = 226/  332  0.68095 = 715/ 1050
0.68096 = 619/  909  0.68097 = 365/  536  0.68099 = 301/  442  0.68100 = 681/ 1000
0.68100 = 649/  953  0.68101 = 348/  511  0.68103 = 237/  348  0.68103 = 316/  464
0.68104 = 442/  649  0.68106 = 205/  301  0.68106 = 536/  787  0.68111 = 487/  715
0.68121 = 562/  825  0.68129 = 590/  866  0.68133 = 511/  750  0.68135 = 464/  681
0.68135 = 402/  590  0.68141 = 154/  226  0.68146 = 261/  383  0.68149 = 383/  562
0.68159 = 274/  402  0.68172 = 332/  487  0.68174 = 422/  619  0.68181 = 750/ 1100
0.68181 = 825/ 1210  0.68181 = 105/  154  0.68188 = 866/ 1270  0.68199 = 178/  261
0.68219 = 249/  365  0.68248 = 187/  274  0.68292 = 140/  205  0.68292 = 196/  287
0.68345 = 909/ 1330  0.68354 = 162/  237  0.68372 = 147/  215  0.68434 = 787/ 1150
0.70987 = 115/  162  0.71122 = 133/  187  0.71308 = 169/  237  0.71327 = 301/  422
0.71348 = 127/  178  0.71385 = 237/  332  0.71393 = 287/  402  0.71397 = 649/  909
0.71405 = 442/  619  0.71410 = 562/  787  0.71428 = 140/  196  0.71428 = 750/ 1050
0.71428 = 105/  147  0.71428 = 215/  301  0.71428 = 205/  287  0.71428 = 100/  140
0.71428 = 110/  154  0.71428 = 365/  511  0.71455 = 383/  536  0.71457 = 348/  487
0.71458 = 681/  953  0.71466 = 536/  750  0.71468 = 511/  715  0.71478 = 619/  866
0.71485 = 178/  249  0.71493 = 316/  442  0.71494 = 464/  649  0.71500 = 715/ 1000
0.71506 = 261/  365  0.71512 = 487/  681  0.71515 = 590/  825  0.71518 = 226/  316
0.71525 = 422/  590  0.71530 = 402/  562  0.71532 = 196/  274  0.71540 = 274/  383
0.71545 = 787/ 1100  0.71551 = 249/  348  0.71551 = 332/  464  0.71570 = 866/ 1210
0.71574 = 909/ 1270  0.71597 = 121/  169  0.71627 = 154/  215  0.71647 = 187/  261
0.71654 = 953/ 1330  0.71681 = 162/  226  0.71707 = 147/  205  0.71739 = 825/ 1150
0.74675 = 115/  154  0.74691 = 121/  162  0.74719 = 133/  178  0.74778 = 169/  226
0.74817 = 205/  274  0.74829 = 110/  147  0.74866 = 140/  187  0.74875 = 301/  402
0.74881 = 316/  422  0.74912 = 215/  287  0.74915 = 442/  590  0.74917 = 681/  909
0.74933 = 562/  750  0.74934 = 287/  383  0.74942 = 649/  866  0.74948 = 365/  487
0.74951 = 383/  511  0.74952 = 787/ 1050  0.74959 = 464/  619  0.74965 = 536/  715
0.74968 = 590/  787  0.75000 = 402/  536  0.75000 = 750/ 1000  0.75000 = 147/  196
0.75000 = 261/  348  0.75000 = 825/ 1100  0.75000 = 249/  332  0.75000 = 348/  464
0.75000 = 105/  140  0.75000 = 237/  316  0.75026 = 715/  953  0.75030 = 619/  825
0.75036 = 511/  681  0.75038 = 487/  649  0.75039 = 953/ 1270  0.75068 = 274/  365
0.75083 = 226/  301  0.75088 = 422/  562  0.75095 = 196/  261  0.75100 = 187/  249
0.75105 = 178/  237  0.75113 = 332/  442  0.75121 = 154/  205  0.75123 = 909/ 1210
0.75147 = 127/  169  0.75187 = 100/  133  0.75304 = 866/ 1150  0.75348 = 162/  215
0.78231 = 115/  147  0.78395 = 127/  162  0.78467 = 215/  274  0.78544 = 205/  261
0.78571 = 110/  140  0.78571 = 121/  154  0.78571 = 154/  196  0.78571 = 825/ 1050
0.78590 = 301/  383  0.78601 = 562/  715  0.78604 = 169/  215  0.78606 = 316/  402
0.78609 = 147/  187  0.78614 = 261/  332  0.78630 = 287/  365  0.78637 = 681/  866
0.78644 = 464/  590  0.78644 = 383/  487  0.78647 = 442/  562  0.78651 = 140/  178
0.78653 = 619/  787  0.78657 = 715/  909  0.78663 = 365/  464  0.78666 = 590/  750
0.78666 = 649/  825  0.78669 = 402/  511  0.78672 = 332/  422  0.78675 = 487/  619
0.78698 = 133/  169  0.78698 = 750/  953  0.78700 = 787/ 1000  0.78707 = 536/  681
0.78714 = 196/  249  0.78727 = 866/ 1100  0.78731 = 422/  536  0.78733 = 348/  442
0.78735 = 274/  348  0.78736 = 511/  649  0.78737 = 237/  301  0.78740 = 100/  127
0.78745 = 226/  287  0.78760 = 953/ 1210  0.78761 = 178/  226  0.78797 = 249/  316
0.78902 = 187/  237  0.78947 = 105/  133  0.79024 = 162/  205  0.79043 = 909/ 1150
0.82098 = 133/  162  0.82142 = 115/  140  0.82312 = 121/  147  0.82329 = 205/  249
0.82352 = 154/  187  0.82375 = 215/  261  0.82439 = 169/  205  0.82462 = 442/  536
0.82464 = 348/  422  0.82465 = 649/  787  0.82465 = 301/  365  0.82467 = 127/  154
0.82471 = 287/  348  0.82476 = 866/ 1050  0.82481 = 226/  274  0.82500 = 825/ 1000
0.82506 = 316/  383  0.82508 = 750/  909  0.82517 = 590/  715  0.82525 = 562/  681
0.82530 = 274/  332  0.82533 = 619/  750  0.82542 = 487/  590  0.82543 = 383/  464
0.82545 = 681/  825  0.82546 = 402/  487  0.82552 = 511/  619  0.82562 = 464/  562
0.82563 = 715/  866  0.82578 = 237/  287  0.82579 = 365/  442  0.82581 = 787/  953
0.82583 = 422/  511  0.82584 = 147/  178  0.82587 = 332/  402  0.82588 = 536/  649
0.82594 = 261/  316  0.82636 = 909/ 1100  0.82644 = 100/  121  0.82653 = 162/  196
0.82677 = 105/  127  0.82700 = 196/  237  0.82706 = 110/  133  0.82724 = 249/  301
0.82743 = 187/  226  0.82790 = 178/  215  0.82840 = 140/  169  0.82869 = 953/ 1150
0.86224 = 169/  196  0.86345 = 215/  249  0.86363 = 133/  154  0.86394 = 127/  147
0.86419 = 140/  162  0.86428 = 121/  140  0.86445 = 287/  332  0.86466 = 115/  133
0.86492 = 365/  422  0.86494 = 301/  348  0.86496 = 237/  274  0.86497 = 442/  511
0.86497 = 205/  237  0.86516 = 154/  178  0.86531 = 681/  787  0.86533 = 649/  750
0.86567 = 464/  536  0.86567 = 348/  402  0.86568 = 825/  953  0.86571 = 909/ 1050
0.86573 = 619/  715  0.86575 = 316/  365  0.86578 = 787/  909  0.86590 = 226/  261
0.86591 = 536/  619  0.86594 = 562/  649  0.86600 = 866/ 1000  0.86605 = 750/  866
0.86610 = 511/  590  0.86614 = 110/  127  0.86631 = 162/  187  0.86636 = 953/ 1100
0.86637 = 590/  681  0.86637 = 402/  464  0.86651 = 383/  442  0.86652 = 422/  487
0.86654 = 487/  562  0.86666 = 715/  825  0.86684 = 332/  383  0.86708 = 274/  316
0.86710 = 261/  301  0.86725 = 196/  226  0.86759 = 249/  287  0.86776 = 105/  121
0.86829 = 178/  205  0.86956 = 100/  115  0.86976 = 187/  215  0.86982 = 147/  169
0.90374 = 169/  187  0.90476 = 133/  147  0.90551 = 115/  127  0.90662 = 301/  332
0.90707 = 205/  226  0.90714 = 127/  140  0.90717 = 215/  237  0.90740 = 147/  162
0.90758 = 383/  422  0.90759 = 825/  909  0.90759 = 442/  487  0.90761 = 953/ 1050
0.90763 = 226/  249  0.90769 = 649/  715  0.90791 = 562/  619  0.90796 = 365/  402
0.90800 = 681/  750  0.90802 = 464/  511  0.90804 = 237/  261  0.90804 = 316/  348
0.90816 = 178/  196  0.90822 = 287/  316  0.90847 = 536/  590  0.90851 = 715/  787
0.90858 = 487/  536  0.90861 = 348/  383  0.90870 = 866/  953  0.90875 = 249/  274
0.90877 = 787/  866  0.90895 = 619/  681  0.90900 = 909/ 1000  0.90909 = 100/  110
0.90909 = 110/  121  0.90909 = 750/  825  0.90909 = 140/  154  0.90909 = 590/  649
0.90925 = 511/  562  0.90940 = 261/  287  0.90948 = 422/  464  0.90950 = 402/  442
0.90958 = 332/  365  0.90977 = 121/  133  0.91011 = 162/  178  0.91029 = 274/  301
0.91124 = 154/  169  0.91162 = 196/  215  0.91219 = 187/  205  0.91304 = 105/  115
0.94943 = 169/  178  0.95000 = 133/  140  0.95041 = 115/  121  0.95061 = 154/  162
0.95132 = 215/  226  0.95180 = 237/  249  0.95180 = 316/  332  0.95187 = 178/  187
0.95238 = 140/  147  0.95238 = 100/  105  0.95244 = 681/  715  0.95253 = 301/  316
0.95254 = 562/  590  0.95255 = 261/  274  0.95258 = 442/  464  0.95260 = 402/  422
0.95265 = 825/  866  0.95269 = 866/  909  0.95273 = 383/  402  0.95275 = 121/  127
0.95277 = 464/  487  0.95298 = 750/  787  0.95300 = 953/ 1000  0.95300 = 365/  383
0.95301 = 649/  681  0.95303 = 487/  511  0.95315 = 590/  619  0.95333 = 715/  750
0.95335 = 511/  536  0.95342 = 348/  365  0.95348 = 287/  301  0.95348 = 205/  215
0.95358 = 226/  237  0.95373 = 536/  562  0.95377 = 619/  649  0.95383 = 909/  953
0.95393 = 787/  825  0.95402 = 249/  261  0.95402 = 332/  348  0.95408 = 187/  196
0.95454 = 105/  110  0.95454 = 147/  154  0.95470 = 274/  287  0.95475 = 422/  442
0.95488 = 127/  133  0.95609 = 196/  205  0.95652 = 110/  115  0.95857 = 162/  169