Grado Brix

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Los grados Brix (símbolo °Bx) miden el cociente total de sacarosa disuelta en un líquido. Una solución de 25 °Bx tiene 25 g de azúcar (sacarosa) por 100 g de líquido o, dicho de otro modo, hay 25 g de sacarosa y 75 g de agua en los 100 g de la solución.

Los grados Brix se miden con un sacarímetro, que mide la gravedad específica de un líquido, o, más fácilmente, con un refractómetro.

[editar] Grados Brix, grados Balling y grados Plato

La escala Brix es un refinamiento de las tablas de la escala Balling, desarrollada por el químico alemán Karl Balling. La escala Plato, que mide los grados Plato, también parte de la escala Balling. Se utilizan las tres, a menudo alternativamente, y sus diferencias son de importancia menor. La escala Brix se utiliza, sobre todo, en la fabricación del zumo y del vino de fruta y del azúcar a base de caña. La escala Plato se utiliza, sobre todo, en la elaboración de cerveza. La escala Balling es obsoleta pero todavía aparece en los sacarímetros más viejos.


  Tabla Brix (sacarosa agua)
L × 0,2641751 = gal      kg × 2,2046 = lb 					
Brix 	 Gravedad 	 #/Gal 	 Lb 	Lb	 kg/ gal 
      	específica (20ºC) 	 20ºC 	 Solid/Gal agua/gal	
---      1,00000         8,345   -----   8,345   3,785 
0,1 	 1,00039 	 8,349 	 0,008 	 8,341 	 3,787 
0,2 	 1,00078 	 8,352 	 0,017 	 8,335 	 3,788 
0,3 	 1,00117 	 8,355 	 0,025 	 8,330 	 3,790 
0,4 	 1,00156 	 8,358 	 0,033 	 8,325 	 3,791 
0,5 	 1,00195 	 8,362 	 0,042 	 8,320 	 3,793 
0,6 	 1,00234 	 8,365 	 0,050 	 8,315 	 3,794 
0,7 	 1,00273 	 8,368 	 0,058 	 8,310 	 3,796 
0,8 	 1,00312 	 8,371 	 0,067 	 8,304 	 3,797 
0,9 	 1,00351 	 8,375 	 0,075 	 8,300 	 3,799 
1,0 	 1,00390 	 8,378 	 0,084 	 8,294 	 3,800 
1,1 	 1,00429 	 8,381 	 0,092 	 8,289 	 3,802 
1,2 	 1,00468 	 8,384 	 0,100 	 8,284 	 3,803 
1,3 	 1,00507 	 8,388 	 0,109 	 8,279 	 3,805 
1,4 	 1,00546 	 8,391 	 0,117 	 8,274 	 3,806 
1,5 	 1,00585 	 8,394 	 0,126 	 8,268 	 3,808 
1,6 	 1,00624 	 8,397 	 0,134 	 8,263 	 3,809 
1,7 	 1,00663 	 8,401 	 0,143 	 8,258 	 3,811 
1,8 	 1,00702 	 8,404 	 0,151 	 8,253 	 3,812 
1,9 	 1,00741 	 8,407 	 0,159 	 8,248 	 3,813 
2,0 	 1,00780 	 8,410 	 0,168 	 8,242 	 3,815 
2,1 	 1,00819 	 8,414 	 0,176 	 8,238 	 3,816 
2,2 	 1,00859 	 8,417 	 0,185 	 8,232 	 3,818 
2,3 	 1,00898 	 8,420 	 0,193 	 8,227 	 3,819 
2,4 	 1,00937 	 8,424 	 0,202 	 8,222 	 3,821 
2,5 	 1,00977 	 8,427 	 0,210 	 8,217 	 3,822 
2,6 	 1,01016 	 8,430 	 0,219 	 8,211 	 3,824 
2,7 	 1,01055 	 8,433 	 0,227 	 8,206 	 3,825 
2,8 	 1,01094 	 8,437 	 0,236 	 8,201 	 3,827 
2,9 	 1,01134 	 8,440 	 0,244 	 8,196 	 3,828 
3,0 	 1,01173 	 8,443 	 0,253 	 8,190 	 3,830 
3,1 	 1,01213 	 8,447 	 0,261 	 8,186 	 3,831 
3,2 	 1,01252 	 8,450 	 0,270 	 8,180 	 3,833 
3,3 	 1,01292 	 8,453 	 0,278 	 8,175 	 3,834 
3,4 	 1,01331 	 8,456 	 0,287 	 8,169 	 3,836 
3,5 	 1,01371 	 8,460 	 0,296 	 8,164 	 3,837 
3,6 	 1,01410 	 8,463 	 0,304 	 8,159 	 3,839 
3,7 	 1,01450 	 8,466 	 0,313 	 8,153 	 3,840 
3,8 	 1,01490 	 8,470 	 0,321 	 8,149 	 3,842 
3,9 	 1,01529 	 8,473 	 0,330 	 8,143 	 3,843 
4,0 	 1,01569 	 8,476 	 0,338 	 8,138 	 3,845 
4,1 	 1,01609 	 8,480 	 0,347 	 8,133 	 3,846 
4,2 	 1,01649 	 8,483 	 0,356 	 8,127 	 3,848 
4,3 	 1,01688 	 8,486 	 0,364 	 8,122 	 3,849 
4,4 	 1,01728 	 8,490 	 0,373 	 8,117 	 3,851 
4,5 	 1,01768 	 8,493 	 0,381 	 8,112 	 3,852 
4,6 	 1,01808 	 8,496 	 0,390 	 8,106 	 3,854 
4,7 	 1,01848 	 8,500 	 0,399 	 8,101 	 3,855 
4,8 	 1,01888 	 8,503 	 0,407 	 8,096 	 3,857 
4,9 	 1,01928 	 8,506 	 0,416 	 8,090 	 3,858 
5,0 	 1,01968 	 8,510 	 0,425 	 8,085 	 3,860 
5,1 	 1,02008 	 8,513 	 0,433 	 8,080 	 3,861 
5,2 	 1,02048 	 8,516 	 0,442 	 8,074 	 3,863 
5,3 	 1,02088 	 8,520 	 0,451 	 8,069 	 3,864 
5,4 	 1,02128 	 8,523 	 0,459 	 8,064 	 3,866 
5,5 	 1,02168 	 8,526 	 0,468 	 8,058 	 3,868 
5,6 	 1,02208 	 8,530 	 0,477 	 8,053 	 3,869 
5,7 	 1,02248 	 8,533 	 0,485 	 8,048 	 3,871 
5,8 	 1,02289 	 8,536 	 0,494 	 8,042 	 3,872 
5,9 	 1,02329 	 8,540 	 0,503 	 8,037 	 3,874 
6,0 	 1,02369 	 8,543 	 0,512 	 8,031 	 3,875 
6,1 	 1,02409 	 8,546 	 0,520 	 8,026 	 3,877 
6,2 	 1,02450 	 8,550 	 0,529 	 8,021 	 3,878 
6,3 	 1,02490 	 8,553 	 0,538 	 8,015 	 3,880 
6,4 	 1,02530 	 8,557 	 0,547 	 8,010 	 3,881 
6,5 	 1,02571 	 8,560 	 0,555 	 8,005 	 3,883 
6,6 	 1,02611 	 8,563 	 0,564 	 7,999 	 3,884 
6,7 	 1,02652 	 8,567 	 0,573 	 7,994 	 3,886 
6,8 	 1,02692 	 8,570 	 0,582 	 7,988 	 3,887 
6,9 	 1,02733 	 8,573 	 0,590 	 7,983 	 3,889 
7,0 	 1,02773 	 8,577 	 0,599 	 7,978 	 3,890 
7,1 	 1,02814 	 8,580 	 0,608 	 7,972 	 3,892 
7,2 	 1,02854 	 8,584 	 0,617 	 7,967 	 3,893 
7,3 	 1,02895 	 8,587 	 0,626 	 7,961 	 3,895 
7,4 	 1,02936 	 8,590 	 0,635 	 7,955 	 3,897 
7,5 	 1,02976 	 8,594 	 0,643 	 7,951 	 3,898 
7,6 	 1,03017 	 8,597 	 0,652 	 7,945 	 3,900 
7,7 	 1,03058 	 8,601 	 0,661 	 7,940 	 3,901 
7,8 	 1,03098 	 8,604 	 0,670 	 7,934 	 3,903 
7,9 	 1,03139 	 8,607 	 0,679 	 7,928 	 3,904 
8,0 	 1,03180 	 8,611 	 0,688 	 7,923 	 3,906 
8,1 	 1,03221 	 8,614 	 0,696 	 7,918 	 3,907 
8,2 	 1,03262 	 8,618 	 0,705 	 7,913 	 3,909 
8,3 	 1,03303 	 8,621 	 0,714 	 7,907 	 3,910 
8,4 	 1,03344 	 8,624 	 0,722 	 7,902 	 3,912 
8,5 	 1,03385 	 8,628 	 0,731 	 7,897 	 3,914 
8,6 	 1,03426 	 8,631 	 0,740 	 7,891 	 3,915 
8,7 	 1,03467 	 8,635 	 0,749 	 7,886 	 3,917 
8,8 	 1,03508 	 8,638 	 0,758 	 7,880 	 3,918 
8,9 	 1,03549 	 8,642 	 0,767 	 7,875 	 3,920 
9,0 	 1,03590 	 8,645 	 0,776 	 7,869 	 3,921 
9,1 	 1,03631 	 8,648 	 0,785 	 7,863 	 3,923 
9,2 	 1,03672 	 8,652 	 0,794 	 7,858 	 3,924 
9,3 	 1,03713 	 8,655 	 0,803 	 7,852 	 3,926 
9,4 	 1,03755 	 8,659 	 0,812 	 7,847 	 3,928 
9,5 	 1,03796 	 8,662 	 0,821 	 7,841 	 3,929 
9,6 	 1,03837 	 8,666 	 0,830 	 7,836 	 3,931 
9,7 	 1,03880 	 8,669 	 0,838 	 7,831 	 3,932 
9,8 	 1,03920 	 8,673 	 0,848 	 7,825 	 3,934 
9,9 	 1,03961 	 8,676 	 0,856 	 7,820 	 3,935 
10,0 	 1,04003 	 8,679 	 0,866 	 7,813 	 3,937 
10,1 	 1,04044 	 8,683 	 0,874 	 7,809 	 3,939 
10,2 	 1,04086 	 8,686 	 0,884 	 7,802 	 3,940 
10,3 	 1,04127 	 8,690 	 0,892 	 7,798 	 3,942 
10,4 	 1,04169 	 8,693 	 0,902 	 7,791 	 3,943 
10,5 	 1,04210 	 8,697 	 0,911 	 7,786 	 3,945 
10,6 	 1,04252 	 8,700 	 0,920 	 7,780 	 3,946 
10,7 	 1,04293 	 8,704 	 0,930 	 7,774 	 3,948 
10,8 	 1,04335 	 8,707 	 0,938 	 7,769 	 3,950 
10,9 	 1,04377 	 8,711 	 0,947 	 7,764 	 3,951 
11,0 	 1,04418 	 8,714 	 0,956 	 7,758 	 3,953 
11,1 	 1,04460 	 8,718 	 0,965 	 7,753 	 3,954 
11,2 	 1,04502 	 8,721 	 0,974 	 7,747 	 3,956 
11,3 	 1,04544 	 8,725 	 0,983 	 7,742 	 3,957 
11,4 	 1,04585 	 8,728 	 0,992 	 7,736 	 3,959 
11,5 	 1,04627 	 8,732 	 1,001 	 7,731 	 3,961 
11,6 	 1,04669 	 8,735 	 1,010 	 7,725 	 3,962 
11,7 	 1,04711 	 8,739 	 1,020 	 7,719 	 3,964 
11,8 	 1,04753 	 8,742 	 1,029 	 7,713 	 3,965 
11,9 	 1,04795 	 8,746 	 1,038 	 7,708 	 3,967 
12,0 	 1,04837 	 8,749 	 1,047 	 7,702 	 3,969 
12,1 	 1,04879 	 8,753 	 1,056 	 7,697 	 3,970 
12,2 	 1,04921 	 8,756 	 1,065 	 7,691 	 3,972 
12,3 	 1,04963 	 8,760 	 1,074 	 7,686 	 3,973 
12,4 	 1,05005 	 8,763 	 1,083 	 7,680 	 3,975 
12,5 	 1,05047 	 8,767 	 1,093 	 7,674 	 3,976 
12,6 	 1,05090 	 8,770 	 1,102 	 7,668 	 3,978 
12,7 	 1,05132 	 8,774 	 1,111 	 7,663 	 3,980 
12,8 	 1,05174 	 8,777 	 1,120 	 7,657 	 3,981 
12,9 	 1,05216 	 8,781 	 1,130 	 7,651 	 3,983 
13,0 	 1,05259 	 8,784 	 1,139 	 7,645 	 3,985 
13,1 	 1,05301 	 8,788 	 1,148 	 7,640 	 3,986 
13,2 	 1,05343 	 8,791 	 1,157 	 7,634 	 3,988 
13,3 	 1,05386 	 8,795 	 1,166 	 7,629 	 3,989 
13,4 	 1,05428 	 8,798 	 1,176 	 7,622 	 3,991 
13,5 	 1,05470 	 8,802 	 1,185 	 7,617 	 3,993 
13,6 	 1,05513 	 8,805 	 1,194 	 7,611 	 3,994 
13,7 	 1,05556 	 8,809 	 1,203 	 7,606 	 3,996 
13,8 	 1,05598 	 8,813 	 1,213 	 7,600 	 3,997 
13,9 	 1,05641 	 8,816 	 1,222 	 7,594 	 3,999 
14,0 	 1,05684 	 8,820 	 1,231 	 7,589 	 4,001 
14,1 	 1,05726 	 8,823 	 1,241 	 7,582 	 4,002 
14,2 	 1,05769 	 8,827 	 1,250 	 7,577 	 4,004 
14,3 	 1,05811 	 8,830 	 1,259 	 7,571 	 4,005 
14,4 	 1,05854 	 8,834 	 1,268 	 7,566 	 4,007 
14,5 	 1,05897 	 8,838 	 1,278 	 7,560 	 4,009 
14,6 	 1,05940 	 8,841 	 1,287 	 7,554 	 4,010 
14,7 	 1,05982 	 8,845 	 1,297 	 7,548 	 4,012 
14,8 	 1,06025 	 8,848 	 1,306 	 7,542 	 4,014 
14,9 	 1,06068 	 8,852 	 1,315 	 7,537 	 4,015 
15,0 	 1,06111 	 8,855 	 1,325 	 7,530 	 4,017 
15,1 	 1,06154 	 8,859 	 1,334 	 7,525 	 4,018 
15,2 	 1,06197 	 8,863 	 1,343 	 7,520 	 4,020 
15,3 	 1,06240 	 8,866 	 1,353 	 7,513 	 4,022 
15,4 	 1,06283 	 8,870 	 1,362 	 7,508 	 4,023 
15,5 	 1,06326 	 8,873 	 1,371 	 7,502 	 4,025 
15,6 	 1,06369 	 8,877 	 1,381 	 7,496 	 4,027 
15,7 	 1,06413 	 8,881 	 1,390 	 7,491 	 4,028 
15,8 	 1,06456 	 8,884 	 1,400 	 7,484 	 4,030 
15,9 	 1,06499 	 8,888 	 1,409 	 7,479 	 4,031 
16,0 	 1,06542 	 8,891 	 1,419 	 7,472 	 4,033 
16,1 	 1,06585 	 8,895 	 1,428 	 7,467 	 4,035 
16,2 	 1,06629 	 8,899 	 1,437 	 7,462 	 4,036 
16,3 	 1,06672 	 8,902 	 1,447 	 7,455 	 4,038 
16,4 	 1,06715 	 8,906 	 1,456 	 7,450 	 4,040 
16,5 	 1,06759 	 8,909 	 1,466 	 7,443 	 4,041 
16,6 	 1,06802 	 8,913 	 1,475 	 7,438 	 4,043 
16,7 	 1,06845 	 8,917 	 1,485 	 7,432 	 4,045 
16,8 	 1,06889 	 8,920 	 1,494 	 7,426 	 4,046 
16,9 	 1,06933 	 8,924 	 1,504 	 7,420 	 4,048 
17,0 	 1,06976 	 8,928 	 1,513 	 7,415 	 4,050 
17,1 	 1,07020 	 8,931 	 1,523 	 7,408 	 4,051 
17,2 	 1,07063 	 8,935 	 1,532 	 7,403 	 4,053 
17,3 	 1,07107 	 8,938 	 1,542 	 7,396 	 4,054 
17,4 	 1,07151 	 8,942 	 1,552 	 7,390 	 4,056 
17,5 	 1,07194 	 8,946 	 1,561 	 7,385 	 4,058 
17,6 	 1,07238 	 8,949 	 1,571 	 7,378 	 4,059 
17,7 	 1,07282 	 8,953 	 1,580 	 7,373 	 4,061 
17,8 	 1,07325 	 8,957 	 1,590 	 7,367 	 4,063 
17,9 	 1,07369 	 8,960 	 1,599 	 7,361 	 4,064 
18,0 	 1,07413 	 8,964 	 1,609 	 7,355 	 4,066 
18,1 	 1,07457 	 8,968 	 1,618 	 7,350 	 4,068 
18,2 	 1,07501 	 8,971 	 1,628 	 7,343 	 4,069 
18,3 	 1,07545 	 8,975 	 1,638 	 7,337 	 4,071 
18,4 	 1,07589 	 8,979 	 1,647 	 7,332 	 4,073 
18,5 	 1,07633 	 8,982 	 1,657 	 7,325 	 4,074 
18,6 	 1,07677 	 8,986 	 1,667 	 7,319 	 4,076 
18,7 	 1,07721 	 8,990 	 1,676 	 7,314 	 4,078 
18,8 	 1,07765 	 8,993 	 1,686 	 7,307 	 4,079 
18,9 	 1,07809 	 8,997 	 1,696 	 7,301 	 4,081 
19,0 	 1,07853 	 9,001 	 1,705 	 7,296 	 4,083 
19,1 	 1,07898 	 9,004 	 1,715 	 7,289 	 4,084 
19,2 	 1,07942 	 9,008 	 1,725 	 7,283 	 4,086 
19,3 	 1,07986 	 9,012 	 1,734 	 7,278 	 4,088 
19,4 	 1,08030 	 9,016 	 1,744 	 7,272 	 4,089 
19,5 	 1,08075 	 9,019 	 1,754 	 7,265 	 4,091 
19,6 	 1,08119 	 9,023 	 1,763 	 7,260 	 4,093 
19,7 	 1,08164 	 9,027 	 1,773 	 7,254 	 4,094 
19,8 	 1,08208 	 9,030 	 1,783 	 7,247 	 4,096 
19,9 	 1,08252 	 9,034 	 1,792 	 7,242 	 4,098 
20,0 	 1,08297 	 9,038 	 1,802 	 7,236 	 4,100 
20,1 	 1,08342 	 9,042 	 1,812 	 7,230 	 4,101 
20,2 	 1,08387 	 9,045 	 1,822 	 7,223 	 4,103 
20,3 	 1,08432 	 9,049 	 1,832 	 7,217 	 4,105 
20,4 	 1,08476 	 9,053 	 1,842 	 7,211 	 4,106 
20,5 	 1,08520 	 9,056 	 1,851 	 7,205 	 4,108 
20,6 	 1,08565 	 9,060 	 1,861 	 7,199 	 4,110 
20,7 	 1,08609 	 9,064 	 1,871 	 7,193 	 4,111 
20,8 	 1,08654 	 9,068 	 1,881 	 7,187 	 4,113 
20,9 	 1,08699 	 9,071 	 1,891 	 7,180 	 4,115 
21,0 	 1,08744 	 9,075 	 1,900 	 7,175 	 4,116 
21,1 	 1,08789 	 9,079 	 1,910 	 7,169 	 4,118 
21,2 	 1,08834 	 9,083 	 1,920 	 7,163 	 4,120 
21,3 	 1,08879 	 9,086 	 1,930 	 7,156 	 4,122 
21,4 	 1,08923 	 9,090 	 1,940 	 7,150 	 4,123 
21,5 	 1,08968 	 9,094 	 1,950 	 7,144 	 4,125 
21,6 	 1,09013 	 9,098 	 1,960 	 7,138 	 4,127 
21,7 	 1,09058 	 9,101 	 1,969 	 7,132 	 4,128 
21,8 	 1,09103 	 9,105 	 1,979 	 7,126 	 4,130 
21,9 	 1,09149 	 9,109 	 1,989 	 7,120 	 4,132 
22,0 	 1,09194 	 9,113 	 1,999 	 7,114 	 4,133 
22,1 	 1,09239 	 9,116 	 2,009 	 7,107 	 4,135 
22,2 	 1,09284 	 9,120 	 2,019 	 7,101 	 4,137 
22,3 	 1,09329 	 9,124 	 2,029 	 7,095 	 4,139 
22,4 	 1,09375 	 9,128 	 2,039 	 7,089 	 4,140 
22,5 	 1,09420 	 9,132 	 2,049 	 7,083 	 4,142 
22,6 	 1,09465 	 9,135 	 2,059 	 7,076 	 4,144 
22,7 	 1,09511 	 9,139 	 2,069 	 7,070 	 4,145 
22,8 	 1,09556 	 9,143 	 2,079 	 7,064 	 4,147 
22,9 	 1,09602 	 9,147 	 2,089 	 7,058 	 4,149 
23,0 	 1,09647 	 9,150 	 2,099 	 7,051 	 4,151 
23,1 	 1,09693 	 9,154 	 2,109 	 7,045 	 4,152 
23,2 	 1,09738 	 9,158 	 2,119 	 7,039 	 4,154 
23,3 	 1,09784 	 9,162 	 2,129 	 7,033 	 4,156 
23,4 	 1,09829 	 9,166 	 2,139 	 7,027 	 4,158 
23,5 	 1,09875 	 9,169 	 2,149 	 7,020 	 4,159 
23,6 	 1,09920 	 9,173 	 2,159 	 7,014 	 4,161 
23,7 	 1,09966 	 9,177 	 2,169 	 7,008 	 4,163 
23,8 	 1,10012 	 9,181 	 2,179 	 7,002 	 4,164 
23,9 	 1,10058 	 9,185 	 2,189 	 6,996 	 4,166 
24,0 	 1,10104 	 9,189 	 2,199 	 6,990 	 4,168 
24,1 	 1,10149 	 9,192 	 2,209 	 6,983 	 4,170 
24,2 	 1,10195 	 9,196 	 2,219 	 6,977 	 4,171 
24,3 	 1,10241 	 9,200 	 2,229 	 6,971 	 4,173 
24,4 	 1,10287 	 9,204 	 2,239 	 6,965 	 4,175 
24,5 	 1,10333 	 9,208 	 2,250 	 6,958 	 4,177 
24,6 	 1,10379 	 9,212 	 2,260 	 6,952 	 4,178 
24,7 	 1,10425 	 9,215 	 2,270 	 6,945 	 4,180 
24,8 	 1,10471 	 9,219 	 2,280 	 6,939 	 4,182 
24,9 	 1,10517 	 9,223 	 2,290 	 6,933 	 4,184 
25,0 	 1,10564 	 9,227 	 2,300 	 6,927 	 4,185 
25,1 	 1,10610 	 9,231 	 2,310 	 6,921 	 4,187 
25,2 	 1,10656 	 9,235 	 2,320 	 6,915 	 4,189 
25,3 	 1,10702 	 9,239 	 2,331 	 6,908 	 4,191 
25,4 	 1,10748 	 9,242 	 2,341 	 6,901 	 4,192 
25,5 	 1,10795 	 9,246 	 2,351 	 6,895 	 4,194 
25,6 	 1,10841 	 9,250 	 2,361 	 6,889 	 4,196 
25,7 	 1,10887 	 9,254 	 2,372 	 6,882 	 4,198 
25,8 	 1,10934 	 9,258 	 2,382 	 6,876 	 4,199 
25,9 	 1,10980 	 9,262 	 2,392 	 6,870 	 4,201 
26,0 	 1,11027 	 9,266 	 2,402 	 6,864 	 4,203 
26,1 	 1,11073 	 9,269 	 2,412 	 6,857 	 4,205 
26,2 	 1,11120 	 9,273 	 2,423 	 6,850 	 4,206 
26,3 	 1,11166 	 9,277 	 2,433 	 6,844 	 4,208 
26,4 	 1,11213 	 9,281 	 2,443 	 6,838 	 4,210 
26,5 	 1,11260 	 9,285 	 2,454 	 6,831 	 4,212 
26,6 	 1,11306 	 9,289 	 2,464 	 6,825 	 4,213 
26,7 	 1,11353 	 9,293 	 2,474 	 6,819 	 4,215 
26,8 	 1,11400 	 9,297 	 2,484 	 6,813 	 4,217 
26,9 	 1,11447 	 9,301 	 2,495 	 6,806 	 4,219 
27,0 	 1,11493 	 9,305 	 2,505 	 6,800 	 4,221 
27,1 	 1,11540 	 9,308 	 2,515 	 6,793 	 4,222 
27,2 	 1,11587 	 9,312 	 2,526 	 6,786 	 4,224 
27,3 	 1,11634 	 9,316 	 2,536 	 6,780 	 4,226 
27,4 	 1,11681 	 9,320 	 2,547 	 6,773 	 4,228 
27,5 	 1,11728 	 9,324 	 2,557 	 6,767 	 4,229 
27,6 	 1,11775 	 9,328 	 2,567 	 6,761 	 4,231 
27,7 	 1,11822 	 9,332 	 2,577 	 6,755 	 4,233 
27,8 	 1,11869 	 9,336 	 2,588 	 6,748 	 4,235 
27,9 	 1,11916 	 9,340 	 2,598 	 6,742 	 4,237 
28,0 	 1,11963 	 9,344 	 2,609 	 6,735 	 4,238 
28,1 	 1,12010 	 9,348 	 2,619 	 6,729 	 4,240 
28,2 	 1,12058 	 9,352 	 2,630 	 6,722 	 4,242 
28,3 	 1,12105 	 9,356 	 2,640 	 6,716 	 4,244 
28,4 	 1,12152 	 9,360 	 2,650 	 6,710 	 4,245 
28,5 	 1,12199 	 9,363 	 2,661 	 6,702 	 4,247 
28,6 	 1,12247 	 9,367 	 2,672 	 6,695 	 4,249 
28,7 	 1,12294 	 9,371 	 2,682 	 6,689 	 4,251 
28,8 	 1,12342 	 9,375 	 2,693 	 6,682 	 4,253 
28,9 	 1,12389 	 9,379 	 2,703 	 6,676 	 4,254 
29,0 	 1,12436 	 9,383 	 2,714 	 6,669 	 4,256 
29,1 	 1,12484 	 9,387 	 2,724 	 6,663 	 4,258 
29,2 	 1,12532 	 9,391 	 2,735 	 6,656 	 4,260 
29,3 	 1,12579 	 9,395 	 2,745 	 6,650 	 4,262 
29,4 	 1,12627 	 9,399 	 2,755 	 6,644 	 4,263 
29,5 	 1,12674 	 9,403 	 2,766 	 6,637 	 4,265 
29,6 	 1,12722 	 9,407 	 2,776 	 6,631 	 4,267 
29,7 	 1,12770 	 9,411 	 2,787 	 6,624 	 4,269 
29,8 	 1,12817 	 9,415 	 2,798 	 6,617 	 4,271 
29,9 	 1,12865 	 9,419 	 2,808 	 6,611 	 4,272 
30,0 	 1,12913 	 9,423 	 2,819 	 6,604 	 4,274 
30,1 	 1,12961 	 9,427 	 2,829 	 6,598 	 4,276 
30,2 	 1,13009 	 9,431 	 2,840 	 6,591 	 4,278 
30,3 	 1,13057 	 9,435 	 2,851 	 6,584 	 4,280 
30,4 	 1,13105 	 9,439 	 2,861 	 6,578 	 4,282 
30,5 	 1,13153 	 9,443 	 2,872 	 6,571 	 4,283 
30,6 	 1,13201 	 9,447 	 2,883 	 6,564 	 4,285 
30,7 	 1,13249 	 9,451 	 2,893 	 6,558 	 4,287 
30,8 	 1,13297 	 9,455 	 2,904 	 6,551 	 4,289 
30,9 	 1,13345 	 9,459 	 2,914 	 6,545 	 4,291 
31,0 	 1,13394 	 9,463 	 2,925 	 6,538 	 4,292 
31,1 	 1,13442 	 9,467 	 2,936 	 6,531 	 4,294 
31,2 	 1,13490 	 9,471 	 2,947 	 6,524 	 4,296 
31,3 	 1,13538 	 9,475 	 2,957 	 6,518 	 4,298 
31,4 	 1,13587 	 9,479 	 2,968 	 6,511 	 4,300 
31,5 	 1,13635 	 9,483 	 2,979 	 6,504 	 4,302 
31,6 	 1,13683 	 9,487 	 2,989 	 6,498 	 4,303 
31,7 	 1,13732 	 9,491 	 3,000 	 6,491 	 4,305 
31,8 	 1,13780 	 9,495 	 3,011 	 6,484 	 4,307 
31,9 	 1,13829 	 9,499 	 3,022 	 6,477 	 4,309 
32,0 	 1,13877 	 9,503 	 3,033 	 6,470 	 4,311 
32,1 	 1,13926 	 9,508 	 3,043 	 6,465 	 4,313 
32,2 	 1,13974 	 9,512 	 3,054 	 6,458 	 4,314 
32,3 	 1,14023 	 9,516 	 3,065 	 6,451 	 4,316 
32,4 	 1,14072 	 9,520 	 3,076 	 6,444 	 4,318 
32,5 	 1,14120 	 9,524 	 3,087 	 6,437 	 4,320 
32,6 	 1,14169 	 9,528 	 3,097 	 6,431 	 4,322 
32,7 	 1,14218 	 9,532 	 3,103 	 6,429 	 4,324 
32,8 	 1,14267 	 9,536 	 3,119 	 6,417 	 4,326 
32,9 	 1,14316 	 9,540 	 3,130 	 6,410 	 4,327 
33,0 	 1,14364 	 9,544 	 3,141 	 6,403 	 4,329 
33,1 	 1,14413 	 9,548 	 3,151 	 6,397 	 4,331 
33,2 	 1,14462 	 9,552 	 3,162 	 6,390 	 4,333 
33,3 	 1,14512 	 9,556 	 3,173 	 6,383 	 4,335 
33,4 	 1,14561 	 9,561 	 3,184 	 6,377 	 4,337 
33,5 	 1,14610 	 9,565 	 3,195 	 6,370 	 4,338 
33,6 	 1,14659 	 9,569 	 3,206 	 6,363 	 4,340 
33,7 	 1,14708 	 9,573 	 3,217 	 6,356 	 4,342 
33,8 	 1,14757 	 9,577 	 3,228 	 6,349 	 4,344 
33,9 	 1,14806 	 9,581 	 3,239 	 6,342 	 4,346 
34,0 	 1,14855 	 9,585 	 3,250 	 6,335 	 4,348 
34,1 	 1,14904 	 9,589 	 3,261 	 6,328 	 4,350 
34,2 	 1,14954 	 9,593 	 3,272 	 6,321 	 4,352 
34,3 	 1,15003 	 9,597 	 3,283 	 6,314 	 4,353 
34,4 	 1,15053 	 9,602 	 3,293 	 6,309 	 4,355 
34,5 	 1,15102 	 9,606 	 3,304 	 6,302 	 4,357 
34,6 	 1,15150 	 9,610 	 3,316 	 6,294 	 4,359 
34,7 	 1,15202 	 9,614 	 3,327 	 6,287 	 4,361 
34,8 	 1,15250 	 9,618 	 3,338 	 6,280 	 4,363 
34,9 	 1,15300 	 9,622 	 3,349 	 6,273 	 4,365 
35,0 	 1,15350 	 9,626 	 3,360 	 6,266 	 4,367 
35,1 	 1,15399 	 9,630 	 3,371 	 6,259 	 4,368 
35,2 	 1,15449 	 9,635 	 3,382 	 6,253 	 4,370 
35,3 	 1,15498 	 9,639 	 3,393 	 6,246 	 4,372 
35,4 	 1,15548 	 9,643 	 3,404 	 6,239 	 4,374 
35,5 	 1,15598 	 9,647 	 3,415 	 6,232 	 4,376 
35,6 	 1,15648 	 9,651 	 3,426 	 6,225 	 4,378 
35,7 	 1,15698 	 9,655 	 3,437 	 6,218 	 4,380 
35,8 	 1,15747 	 9,660 	 3,448 	 6,212 	 4,382 
35,9 	 1,15797 	 9,664 	 3,459 	 6,205 	 4,383 
36,0 	 1,15847 	 9,668 	 3,470 	 6,198 	 4,385 
36,1 	 1,15897 	 9,672 	 3,482 	 6,190 	 4,387 
36,2 	 1,15947 	 9,676 	 3,493 	 6,183 	 4,389 
36,3 	 1,15997 	 9,680 	 3,504 	 6,176 	 4,391 
36,4 	 1,16047 	 9,685 	 3,515 	 6,170 	 4,393 
36,5 	 1,16098 	 9,689 	 3,526 	 6,163 	 4,395 
36,6 	 1,16148 	 9,693 	 3,537 	 6,156 	 4,397 
36,7 	 1,16198 	 9,697 	 3,549 	 6,148 	 4,399 
36,8 	 1,16248 	 9,701 	 3,560 	 6,141 	 4,400 
36,9 	 1,16298 	 9,706 	 3,571 	 6,135 	 4,402 
37,0 	 1,16349 	 9,710 	 3,582 	 6,128 	 4,404 
37,1 	 1,16399 	 9,714 	 3,594 	 6,120 	 4,406 
37,2 	 1,16449 	 9,718 	 3,605 	 6,113 	 4,408 
37,3 	 1,16500 	 9,722 	 3,616 	 6,106 	 4,410 
37,4 	 1,16550 	 9,727 	 3,627 	 6,100 	 4,412 
37,5 	 1,16601 	 9,731 	 3,639 	 6,092 	 4,414 
37,6 	 1,16652 	 9,735 	 3,650 	 6,085 	 4,416 
37,7 	 1,16702 	 9,739 	 3,661 	 6,078 	 4,418 
37,8 	 1,16753 	 9,743 	 3,673 	 6,070 	 4,420 
37,9 	 1,16803 	 9,748 	 3,684 	 6,064 	 4,422 
38,0 	 1,16853 	 9,752 	 3,695 	 6,057 	 4,423 
38,1 	 1,16904 	 9,756 	 3,706 	 6,050 	 4,425 
38,2 	 1,16955 	 9,760 	 3,718 	 6,042 	 4,427 
38,3 	 1,17006 	 9,765 	 3,729 	 6,036 	 4,429 
38,4 	 1,17056 	 9,769 	 3,741 	 6,028 	 4,431 
38,5 	 1,17107 	 9,773 	 3,752 	 6,021 	 4,433 
38,6 	 1,17158 	 9,777 	 3,763 	 6,014 	 4,435 
38,7 	 1,17209 	 9,782 	 3,775 	 6,007 	 4,437 
38,8 	 1,17260 	 9,786 	 3,786 	 6,000 	 4,439 
38,9 	 1,17311 	 9,790 	 3,797 	 5,993 	 4,441 
39,0 	 1,17362 	 9,794 	 3,809 	 5,985 	 4,443 
39,1 	 1,17413 	 9,799 	 3,820 	 5,979 	 4,445 
39,2 	 1,17464 	 9,803 	 3,832 	 5,971 	 4,447 
39,3 	 1,17515 	 9,807 	 3,843 	 5,964 	 4,448 
39,4 	 1,17566 	 9,811 	 3,855 	 5,956 	 4,450 
39,5 	 1,17618 	 9,816 	 3,866 	 5,950 	 4,452 
39,6 	 1,17669 	 9,820 	 3,878 	 5,942 	 4,454 
39,7 	 1,17720 	 9,824 	 3,889 	 5,935 	 4,456 
39,8 	 1,17772 	 9,829 	 3,901 	 5,928 	 4,458 
39,9 	 1,17823 	 9,833 	 3,912 	 5,921 	 4,460 
40,0 	 1,17874 	 9,837 	 3,924 	 5,913 	 4,462 
40,1 	 1,17926 	 9,841 	 3,935 	 5,906 	 4,464 
40,2 	 1,17977 	 9,846 	 3,947 	 5,899 	 4,466 
40,3 	 1,18029 	 9,850 	 3,958 	 5,892 	 4,468 
40,4 	 1,18080 	 9,854 	 3,970 	 5,884 	 4,470 
40,5 	 1,18132 	 9,859 	 3,982 	 5,877 	 4,472 
40,6 	 1,18183 	 9,863 	 3,993 	 5,870 	 4,474 
40,7 	 1,18235 	 9,867 	 4,004 	 5,863 	 4,476 
40,8 	 1,18287 	 9,871 	 4,016 	 5,855 	 4,478 
40,9 	 1,18339 	 9,876 	 4,028 	 5,848 	 4,480 
41,0 	 1,18390 	 9,880 	 4,039 	 5,841 	 4,482 
41,1 	 1,18442 	 9,884 	 4,051 	 5,833 	 4,484 
41,2 	 1,18494 	 9,889 	 4,063 	 5,826 	 4,486 
41,3 	 1,18546 	 9,893 	 4,074 	 5,819 	 4,487 
41,4 	 1,18598 	 9,897 	 4,086 	 5,811 	 4,489 
41,5 	 1,18650 	 9,902 	 4,098 	 5,804 	 4,491 
41,6 	 1,18702 	 9,906 	 4,109 	 5,797 	 4,493 
41,7 	 1,18754 	 9,910 	 4,121 	 5,789 	 4,495 
41,8 	 1,18806 	 9,915 	 4,133 	 5,782 	 4,497 
41,9 	 1,18858 	 9,919 	 4,144 	 5,775 	 4,499 
42,0 	 1,18910 	 9,923 	 4,156 	 5,767 	 4,501 
42,1 	 1,18962 	 9,928 	 4,167 	 5,761 	 4,503 
42,2 	 1,19014 	 9,932 	 4,179 	 5,753 	 4,505 
42,3 	 1,19065 	 9,936 	 4,191 	 5,745 	 4,507 
42,4 	 1,19119 	 9,941 	 4,203 	 5,738 	 4,509 
42,5 	 1,19171 	 9,945 	 4,215 	 5,730 	 4,511 
42,6 	 1,19224 	 9,950 	 4,226 	 5,724 	 4,513 
42,7 	 1,19276 	 9,954 	 4,238 	 5,716 	 4,515 
42,8 	 1,19329 	 9,958 	 4,250 	 5,708 	 4,517 
42,9 	 1,19381 	 9,963 	 4,262 	 5,701 	 4,519 
43,0 	 1,19434 	 9,967 	 4,274 	 5,693 	 4,521 
43,1 	 1,19486 	 9,972 	 4,285 	 5,687 	 4,523 
43,2 	 1,19539 	 9,976 	 4,298 	 5,678 	 4,525 
43,3 	 1,19591 	 9,980 	 4,309 	 5,671 	 4,527 
43,4 	 1,19644 	 9,985 	 4,321 	 5,664 	 4,529 
43,5 	 1,19697 	 9,989 	 4,333 	 5,656 	 4,531 
43,6 	 1,19749 	 9,994 	 4,345 	 5,649 	 4,533 
43,7 	 1,19802 	 9,998 	 4,357 	 5,641 	 4,535 
43,8 	 1,19855 	 10,002  4,369 	 5,633 	 4,537 
43,9 	 1,19908 	 10,007  4,380 	 5,627 	 4,539 
44,0 	 1,19961 	 10,011  4,393 	 5,618 	 4,541 
44,1 	 1,20013 	 10,016  4,404 	 5,612 	 4,543 
44,2 	 1,20066 	 10,020  4,416 	 5,604 	 4,545 
44,3 	 1,20119 	 10,024  4,428 	 5,596 	 4,547 
44,4 	 1,20172 	 10,029  4,440 	 5,589 	 4,549 
44,5 	 1,20226 	 10,033  4,452 	 5,581 	 4,551 
44,6 	 1,20279 	 10,038  4,464 	 5,574 	 4,553 
44,7 	 1,20332 	 10,042  4,476 	 5,566 	 4,555 
44,8 	 1,20385 	 10,047  4,488 	 5,559 	 4,557 
44,9 	 1,20438 	 10,051  4,500 	 5,551 	 4,559 
45,0 	 1,20491 	 10,055  4,512 	 5,543 	 4,561 
45,1 	 1,20545 	 10,060  4,524 	 5,536 	 4,563 
45,2 	 1,20598 	 10,064  4,536 	 5,528 	 4,565 
45,3 	 1,20651 	 10,069  4,548 	 5,521 	 4,567 
45,4 	 1,20705 	 10,073  4,560 	 5,513 	 4,569 
45,5 	 1,20758 	 10,078  4,572 	 5,506 	 4,571 
45,6 	 1,20812 	 10,082  4,585 	 5,497 	 4,573 
45,7 	 1,20865 	 10,087  4,597 	 5,490 	 4,575 
45,8 	 1,20919 	 10,091  4,609 	 5,482 	 4,577 
45,9 	 1,20972 	 10,096  4,621 	 5,475 	 4,579 
46,0 	 1,21026 	 10,100  4,633 	 5,467 	 4,581 
46,1 	 1,21080 	 10,105  4,645 	 5,460 	 4,583 
46,2 	 1,21133 	 10,109  4,657 	 5,452 	 4,585 
46,3 	 1,21187 	 10,114  4,669 	 5,445 	 4,587 
46,4 	 1,21241 	 10,118  4,681 	 5,437 	 4,590 
46,5 	 1,21295 	 10,123  4,694 	 5,429 	 4,592 
46,6 	 1,21349 	 10,127  4,706 	 5,421 	 4,594 
46,7 	 1,21402 	 10,131  4,718 	 5,413 	 4,596 
46,8 	 1,21456 	 10,136  4,730 	 5,406 	 4,598 
46,9 	 1,21510 	 10,140  4,743 	 5,397 	 4,600 
47,0 	 1,21564 	 10,145  4,755 	 5,390 	 4,602 
47,1 	 1,21618 	 10,149  4,767 	 5,382 	 4,604 
47,2 	 1,21673 	 10,154  4,779 	 5,375 	 4,606 
47,3 	 1,21727 	 10,159  4,791 	 5,368 	 4,608 
47,4 	 1,21781 	 10,163  4,804 	 5,359 	 4,610 
47,5 	 1,21835 	 10,168  4,816 	 5,352 	 4,612 
47,6 	 1,21889 	 10,172  4,828 	 5,344 	 4,614 
47,7 	 1,21943 	 10,177  4,841 	 5,336 	 4,616 
47,8 	 1,21998 	 10,181  4,853 	 5,328 	 4,618 
47,9 	 1,22052 	 10,186  4,865 	 5,321 	 4,620 
48,0 	 1,22106 	 10,190  4,877 	 5,313 	 4,622 
48,1 	 1,22161 	 10,195  4,890 	 5,305 	 4,624 
48,2 	 1,22215 	 10,199  4,902 	 5,297 	 4,626 
48,3 	 1,22270 	 10,204  4,915 	 5,289 	 4,628 
48,4 	 1,22324 	 10,208  4,927 	 5,281 	 4,631 
48,5 	 1,22379 	 10,213  4,939 	 5,274 	 4,633 
48,6 	 1,22434 	 10,218  4,952 	 5,266 	 4,635 
48,7 	 1,22488 	 10,222  4,964 	 5,258 	 4,637 
48,8 	 1,22543 	 10,227  4,977 	 5,250 	 4,639 
48,9 	 1,22598 	 10,231  4,989 	 5,242 	 4,641 
49,0 	 1,22652 	 10,236  5,001 	 5,235 	 4,643 
49,1 	 1,22707 	 10,240  5,014 	 5,226 	 4,645 
49,2 	 1,22762 	 10,245  5,026 	 5,219 	 4,647 
49,3 	 1,22817 	 10,250  5,038 	 5,212 	 4,649 
49,4 	 1,22872 	 10,254  5,051 	 5,203 	 4,651 
49,5 	 1,22927 	 10,259  5,064 	 5,195 	 4,653 
49,6 	 1,22982 	 10,263  5,076 	 5,187 	 4,655 
49,7 	 1,23037 	 10,268  5,089 	 5,179 	 4,657 
49,8 	 1,23092 	 10,272  5,101 	 5,171 	 4,660 
49,9 	 1,23147 	 10,277  5,114 	 5,163 	 4,662 
50,0 	 1,23202 	 10,282  5,126 	 5,156 	 4,664 
50,1 	 1,23257 	 10,286  5,139 	 5,147 	 4,666 
50,2 	 1,23313 	 10,291  5,152 	 5,139 	 4,668 
50,3 	 1,23368 	 10,296  5,164 	 5,132 	 4,670 
50,4 	 1,23423 	 10,300  5,177 	 5,123 	 4,672 
50,5 	 1,23478 	 10,305  5,189 	 5,116 	 4,674 
50,6 	 1,23534 	 10,309  5,202 	 5,107 	 4,676 
50,7 	 1,23589 	 10,314  5,214 	 5,100 	 4,678 
50,8 	 1,23645 	 10,319  5,227 	 5,092 	 4,681 
50,9 	 1,23700 	 10,323  5,240 	 5,083 	 4,683 
51,0 	 1,23756 	 10,328  5,252 	 5,076 	 4,685 
51,1 	 1,23811 	 10,332  5,265 	 5,067 	 4,687 
51,2 	 1,23867 	 10,337  5,278 	 5,059 	 4,689 
51,3 	 1,23922 	 10,342  5,290 	 5,052 	 4,691 
51,4 	 1,23978 	 10,346  5,303 	 5,043 	 4,693 
51,5 	 1,24034 	 10,351  5,316 	 5,035 	 4,695 
51,6 	 1,24089 	 10,356  5,328 	 5,028 	 4,697 
51,7 	 1,24145 	 10,360  5,341 	 5,019 	 4,699 
51,8 	 1,24201 	 10,365  5,354 	 5,011 	 4,702 
51,9 	 1,24257 	 10,370  5,366 	 5,004 	 4,704 
52,0 	 1,24313 	 10,374  5,379 	 4,995 	 4,706 
52,1 	 1,24369 	 10,379  5,392 	 4,987 	 4,708 
52,2 	 1,24425 	 10,384  5,405 	 4,979 	 4,710 
52,3 	 1,24481 	 10,388  5,418 	 4,970 	 4,712 
52,4 	 1,24537 	 10,393  5,431 	 4,962 	 4,714 
52,5 	 1,24593 	 10,398  5,443 	 4,955 	 4,716 
52,6 	 1,24649 	 10,402  5,456 	 4,946 	 4,719 
52,7 	 1,24705 	 10,407  5,469 	 4,938 	 4,721 
52,8 	 1,24761 	 10,412  5,482 	 4,930 	 4,723 
52,9 	 1,24818 	 10,417  5,495 	 4,922 	 4,725 
53,0 	 1,24874 	 10,421  5,508 	 4,913 	 4,727 
53,1 	 1,24930 	 10,426  5,520 	 4,906 	 4,729 
53,2 	 1,24987 	 10,431  5,533 	 4,898 	 4,731 
53,3 	 1,25043 	 10,435  5,546 	 4,889 	 4,733 
53,4 	 1,25099 	 10,440  5,559 	 4,881 	 4,736 
53,5 	 1,25156 	 10,445  5,572 	 4,873 	 4,738 
53,6 	 1,25212 	 10,449  5,585 	 4,864 	 4,740 
53,7 	 1,25269 	 10,454  5,598 	 4,856 	 4,742 
53,8 	 1,25325 	 10,459  5,611 	 4,848 	 4,744 
53,9 	 1,25382 	 10,464  5,624 	 4,840 	 4,746 
54,0 	 1,25439 	 10,468  5,637 	 4,831 	 4,748 
54,1 	 1,25495 	 10,473  5,650 	 4,823 	 4,751 
54,2 	 1,25552 	 10,478  5,663 	 4,815 	 4,753 
54,3 	 1,25609 	 10,483  5,676 	 4,807 	 4,755 
54,4 	 1,25666 	 10,487  5,689 	 4,798 	 4,757 
54,5 	 1,25723 	 10,492  5,702 	 4,790 	 4,759 
54,6 	 1,25780 	 10,497  5,715 	 4,782 	 4,761 
54,7 	 1,25836 	 10,501  5,728 	 4,773 	 4,763 
54,8 	 1,25893 	 10,506  5,741 	 4,765 	 4,766 
54,9 	 1,25950 	 10,511  5,755 	 4,756 	 4,768 
55,0 	 1,26007 	 10,516  5,767 	 4,749 	 4,770 
55,1 	 1,26064 	 10,521  5,781 	 4,740 	 4,772 
55,2 	 1,26122 	 10,525  5,793 	 4,732 	 4,774 
55,3 	 1,26179 	 10,530  5,807 	 4,723 	 4,776 
55,4 	 1,26236 	 10,535  5,820 	 4,715 	 4,779 
55,5 	 1,26293 	 10,540  5,833 	 4,707 	 4,781 
55,6 	 1,26350 	 10,544  5,846 	 4,698 	 4,783 
55,7 	 1,26408 	 10,549  5,859 	 4,690 	 4,785 
55,8 	 1,26465 	 10,554  5,872 	 4,682 	 4,787 
55,9 	 1,26522 	 10,559  5,886 	 4,673 	 4,789 
56,0 	 1,26580 	 10,564  5,899 	 4,665 	 4,792 
56,1 	 1,26637 	 10,568  5,912 	 4,656 	 4,794 
56,2 	 1,26695 	 10,573  5,925 	 4,648 	 4,796 
56,3 	 1,26752 	 10,578  5,939 	 4,639 	 4,798 
56,4 	 1,26810 	 10,583  5,952 	 4,631 	 4,800 
56,5 	 1,26868 	 10,588  5,965 	 4,623 	 4,803 
56,6 	 1,26925 	 10,592  5,978 	 4,614 	 4,805 
56,7 	 1,26983 	 10,597  5,991 	 4,606 	 4,807 
56,8 	 1,27041 	 10,602  6,005 	 4,597 	 4,809 
56,9 	 1,27098 	 10,607  6,018 	 4,589 	 4,811 
57,0 	 1,27156 	 10,612  6,031 	 4,581 	 4,813 
57,1 	 1,27214 	 10,616  6,045 	 4,571 	 4,816 
57,2 	 1,27272 	 10,621  6,058 	 4,563 	 4,818 
57,3 	 1,27330 	 10,626  6,072 	 4,554 	 4,820 
57,4 	 1,27388 	 10,631  6,085 	 4,546 	 4,822 
57,5 	 1,27446 	 10,636  6,098 	 4,538 	 4,824 
57,6 	 1,27504 	 10,641  6,111 	 4,530 	 4,827 
57,7 	 1,27562 	 10,646  6,125 	 4,521 	 4,829 
57,8 	 1,27620 	 10,650  6,138 	 4,512 	 4,831 
57,9 	 1,27678 	 10,655  6,152 	 4,503 	 4,833 
58,0 	 1,27736 	 10,660  6,165 	 4,495 	 4,835 
58,1 	 1,27794 	 10,665  6,179 	 4,486 	 4,838 
58,2 	 1,27853 	 10,670  6,192 	 4,478 	 4,840 
58,3 	 1,27911 	 10,675  6,205 	 4,470 	 4,842 
58,4 	 1,27969 	 10,679  6,219 	 4,460 	 4,844 
58,5 	 1,28028 	 10,684  6,233 	 4,451 	 4,846 
58,6 	 1,28086 	 10,689  6,246 	 4,443 	 4,849 
58,7 	 1,28145 	 10,694  6,260 	 4,434 	 4,851 
58,8 	 1,28203 	 10,699  6,273 	 4,426 	 4,853 
58,9 	 1,28262 	 10,704  6,287 	 4,417 	 4,855 
59,0 	 1,28320 	 10,709  6,300 	 4,409 	 4,857 
59,1 	 1,28379 	 10,714  6,314 	 4,400 	 4,860 
59,2 	 1,28437 	 10,719  6,327 	 4,392 	 4,862 
59,3 	 1,28497 	 10,724  6,341 	 4,383 	 4,864 
59,4 	 1,28555 	 10,728  6,355 	 4,373 	 4,866 
59,5 	 1,28614 	 10,733  6,368 	 4,365 	 4,869 
59,6 	 1,28672 	 10,738  6,382 	 4,356 	 4,871 
59,7 	 1,28731 	 10,743  6,396 	 4,347 	 4,873 
59,8 	 1,28789 	 10,748  6,409 	 4,339 	 4,875 
59,9 	 1,28849 	 10,753  6,422 	 4,331 	 4,878 
60,0 	 1,28908 	 10,758  6,436 	 4,322 	 4,880 
60,1 	 1,28966 	 10,763  6,450 	 4,313 	 4,882 
60,2 	 1,29025 	 10,768  6,464 	 4,304 	 4,884 
60,3 	 1,29084 	 10,773  6,477 	 4,296 	 4,886 
60,4 	 1,29143 	 10,777  6,491 	 4,286 	 4,889 
60,5 	 1,29203 	 10,782  6,505 	 4,277 	 4,891 
60,6 	 1,29262 	 10,787  6,519 	 4,268 	 4,893 
60,7 	 1,29321 	 10,792  6,532 	 4,260 	 4,895 
60,8 	 1,29380 	 10,797  6,546 	 4,251 	 4,898 
60,9 	 1,29439 	 10,802  6,560 	 4,242 	 4,900 
61,0 	 1,29498 	 10,807  6,574 	 4,233 	 4,902 
61,1 	 1,29559 	 10,812  6,587 	 4,225 	 4,904 
61,2 	 1,29618 	 10,817  6,601 	 4,216 	 4,907 
61,3 	 1,29677 	 10,822  6,615 	 4,207 	 4,909 
61,4 	 1,29736 	 10,827  6,629 	 4,198 	 4,911 
61,5 	 1,29796 	 10,832  6,643 	 4,189 	 4,913 
61,6 	 1,29855 	 10,837  6,656 	 4,181 	 4,916 
61,7 	 1,29915 	 10,842  6,670 	 4,172 	 4,918 
61,8 	 1,29975 	 10,847  6,684 	 4,163 	 4,920 
61,9 	 1,30034 	 10,852  6,698 	 4,154 	 4,922 
62,0 	 1,30093 	 10,857  6,712 	 4,145 	 4,925 
62,1 	 1,30153 	 10,862  6,726 	 4,136 	 4,927 
62,2 	 1,30212 	 10,867  6,740 	 4,127 	 4,929 
62,3 	 1,30273 	 10,872  6,754 	 4,118 	 4,931 
62,4 	 1,30334 	 10,877  6,768 	 4,109 	 4,934 
62,5 	 1,30393 	 10,882  6,782 	 4,100 	 4,936 
62,6 	 1,30453 	 10,887  6,796 	 4,091 	 4,938 
62,7 	 1,30513 	 10,892  6,810 	 4,082 	 4,940 
62,8 	 1,30573 	 10,897  6,824 	 4,073 	 4,943 
62,9 	 1,30633 	 10,902  6,838 	 4,064 	 4,945 
63,0 	 1,30694 	 10,907  6,852 	 4,055 	 4,947 
63,1 	 1,30754 	 10,912  6,866 	 4,046 	 4,950 
63,2 	 1,30815 	 10,917  6,880 	 4,037 	 4,952 
63,3 	 1,30875 	 10,922  6,894 	 4,028 	 4,954 
63,4 	 1,30936 	 10,927  6,908 	 4,019 	 4,957 
63,5 	 1,30994 	 10,932  6,922 	 4,010 	 4,959 
63,6 	 1,31055 	 10,937  6,936 	 4,001 	 4,961 
63,7 	 1,31117 	 10,942  6,950 	 3,992 	 4,963 
63,8 	 1,31177 	 10,947  6,964 	 3,983 	 4,966 
63,9 	 1,31237 	 10,952  6,978 	 3,974 	 4,968 
64,0 	 1,31297 	 10,957  6,993 	 3,964 	 4,970 
64,1 	 1,31359 	 10,962  7,007 	 3,955 	 4,973 
64,2 	 1,31418 	 10,967  7,021 	 3,946 	 4,975 
64,3 	 1,31479 	 10,972  7,035 	 3,937 	 4,977 
64,4 	 1,31540 	 10,978  7,049 	 3,929 	 4,979 
64,5 	 1,31600 	 10,983  7,063 	 3,920 	 4,982 
64,6 	 1,31661 	 10,988  7,078 	 3,910 	 4,984 
64,7 	 1,31723 	 10,993  7,092 	 3,901 	 4,986 
64,8 	 1,31784 	 10,998  7,107 	 3,891 	 4,989 
64,9 	 1,31845 	 11,003  7,121 	 3,882 	 4,991 
65,0 	 1,31905 	 11,008  7,135 	 3,873 	 4,993 
65,1 	 1,31966 	 11,013  7,149 	 3,864 	 4,995 
65,2 	 1,32028 	 11,018  7,164 	 3,854 	 4,998 
65,3 	 1,32089 	 11,023  7,178 	 3,845 	 5,000 
65,4 	 1,32150 	 11,028  7,192 	 3,836 	 5,002 
65,5 	 1,32210 	 11,033  7,206 	 3,827 	 5,005 
65,6 	 1,32271 	 11,039  7,221 	 3,818 	 5,007 
65,7 	 1,32332 	 11,044  7,235 	 3,809 	 5,009 
65,8 	 1,32393 	 11,049  7,249 	 3,800 	 5,012 
65,9 	 1,32455 	 11,054  7,263 	 3,791 	 5,014 
66,0 	 1,32516 	 11,059  7,278 	 3,781 	 5,016 
66,1 	 1,32577 	 11,064  7,293 	 3,771 	 5,019 
66,2 	 1,32638 	 11,069  7,307 	 3,762 	 5,021 
66,3 	 1,32699 	 11,074  7,322 	 3,752 	 5,023 
66,4 	 1,32759 	 11,079  7,336 	 3,743 	 5,026 
66,5 	 1,32820 	 11,084  7,350 	 3,734 	 5,028 
66,6 	 1,32884 	 11,090  7,365 	 3,725 	 5,030 
66,7 	 1,32945 	 11,095  7,379 	 3,716 	 5,033 
66,8 	 1,33007 	 11,100  7,393 	 3,707 	 5,035 
66,9 	 1,33068 	 11,105  7,408 	 3,697 	 5,037 
67,0 	 1,33129 	 11,110  7,423 	 3,687 	 5,040 
67,1 	 1,33192 	 11,115  7,437 	 3,678 	 5,042 
67,2 	 1,33254 	 11,121  7,452 	 3,669 	 5,044 
67,3 	 1,33315 	 11,126  7,466 	 3,660 	 5,047 
67,4 	 1,33377 	 11,131  7,481 	 3,650 	 5,049 
67,5 	 1,33438 	 11,136  7,495 	 3,641 	 5,051 
67,6 	 1,33500 	 11,141  7,510 	 3,631 	 5,054 
67,7 	 1,33562 	 11,146  7,525 	 3,621 	 5,056 
67,8 	 1,33625 	 11,152  7,539 	 3,613 	 5,058 
67,9 	 1,33686 	 11,157  7,554 	 3,603 	 5,061 
68,0 	 1,33748 	 11,162  7,568 	 3,594 	 5,063 
68,1 	 1,33810 	 11,167  7,583 	 3,584 	 5,065 
68,2 	 1,33872 	 11,172  7,597 	 3,575 	 5,068 
68,3 	 1,33935 	 11,177  7,613 	 3,564 	 5,070 
68,4 	 1,33997 	 11,183  7,627 	 3,556 	 5,072 
68,5 	 1,34059 	 11,188  7,642 	 3,546 	 5,075 
68,6 	 1,34121 	 11,193  7,656 	 3,537 	 5,077 
68,7 	 1,34183 	 11,198  7,671 	 3,527 	 5,079 
68,8 	 1,34245 	 11,203  7,686 	 3,517 	 5,082 
68,9 	 1,34309 	 11,209  7,701 	 3,508 	 5,084 
69,0 	 1,34371 	 11,214  7,716 	 3,498 	 5,087 
69,1 	 1,34433 	 11,219  7,730 	 3,489 	 5,089 
69,2 	 1,34495 	 11,224  7,745 	 3,479 	 5,091 
69,3 	 1,34558 	 11,229  7,760 	 3,469 	 5,094 
69,4 	 1,34621 	 11,235  7,775 	 3,460 	 5,096 
69,5 	 1,34684 	 11,240  7,790 	 3,450 	 5,098 
69,6 	 1,34746 	 11,245  7,804 	 3,441 	 5,101 
69,7 	 1,34809 	 11,250  7,819 	 3,431 	 5,103 
69,8 	 1,34871 	 11,255  7,834 	 3,421 	 5,105 
69,9 	 1,34934 	 11,261  7,849 	 3,412 	 5,108 
70,0 	 1,34997 	 11,266  7,864 	 3,402 	 5,110 
70,1 	 1,35060 	 11,271  7,879 	 3,392 	 5,113 
70,2 	 1,35123 	 11,277  7,894 	 3,383 	 5,115 
70,3 	 1,35186 	 11,282  7,909 	 3,373 	 5,117 
70,4 	 1,35248 	 11,287  7,924 	 3,363 	 5,120 
70,5 	 1,35311 	 11,292  7,938 	 3,354 	 5,122 
70,6 	 1,35375 	 11,298  7,953 	 3,345 	 5,125 
70,7 	 1,35438 	 11,303  7,969 	 3,334 	 5,127 
70,8 	 1,35501 	 11,308  7,983 	 3,325 	 5,129 
70,9 	 1,35564 	 11,313  7,998 	 3,315 	 5,132 
71,0 	 1,35627 	 11,319  8,013 	 3,306 	 5,134 
71,1 	 1,35691 	 11,324  8,029 	 3,295 	 5,137 
71,2 	 1,35754 	 11,329  8,043 	 3,286 	 5,139 
71,3 	 1,35817 	 11,334  8,058 	 3,276 	 5,141 
71,4 	 1,35881 	 11,340  8,074 	 3,266 	 5,144 
71,5 	 1,35944 	 11,345  8,089 	 3,256 	 5,146 
71,6 	 1,36008 	 11,350  8,104 	 3,246 	 5,149 
71,7 	 1,36072 	 11,356  8,119 	 3,237 	 5,151 
71,8 	 1,36135 	 11,361  8,134 	 3,227 	 5,153 
71,9 	 1,36198 	 11,366  8,149 	 3,217 	 5,156 
72,0 	 1,36261 	 11,371  8,164 	 3,207 	 5,158 
72,1 	 1,36324 	 11,377  8,180 	 3,197 	 5,160 
72,2 	 1,36389 	 11,382  8,195 	 3,187 	 5,163 
72,3 	 1,36452 	 11,387  8,210 	 3,177 	 5,165 
72,4 	 1,36516 	 11,393  8,225 	 3,168 	 5,168 
72,5 	 1,36579 	 11,398  8,240 	 3,158 	 5,170 
72,6 	 1,36643 	 11,403  8,255 	 3,148 	 5,173 
72,7 	 1,36707 	 11,409  8,270 	 3,139 	 5,175 
72,8 	 1,36771 	 11,414  8,286 	 3,128 	 5,177 
72,9 	 1,36836 	 11,419  8,301 	 3,118 	 5,180 
73,0 	 1,36900 	 11,425  8,316 	 3,109 	 5,182 
73,1 	 1,36964 	 11,430  8,332 	 3,098 	 5,185 
73,2 	 1,37028 	 11,436  8,347 	 3,089 	 5,187 
73,3 	 1,37092 	 11,441  8,362 	 3,079 	 5,190 
73,4 	 1,37156 	 11,446  8,378 	 3,068 	 5,192 
73,5 	 1,37220 	 11,452  8,393 	 3,059 	 5,194 
73,6 	 1,37283 	 11,457  8,408 	 3,049 	 5,197 
73,7 	 1,37347 	 11,462  8,424 	 3,038 	 5,199 
73,8 	 1,37411 	 11,467  8,439 	 3,028 	 5,202 
73,9 	 1,37476 	 11,473  8,454 	 3,019 	 5,204 
74,0 	 1,37541 	 11,478  8,470 	 3,008 	 5,207 
74,1 	 1,37605 	 11,484  8,485 	 2,999 	 5,209 
74,2 	 1,37669 	 11,489  8,500 	 2,989 	 5,211 
74,3 	 1,37733 	 11,494  8,516 	 2,978 	 5,214 
74,4 	 1,37798 	 11,500  8,531 	 2,969 	 5,216 
74,5 	 1,37864 	 11,505  8,547 	 2,958 	 5,219 
74,6 	 1,37928 	 11,511  8,563 	 2,948 	 5,221 
74,7 	 1,37993 	 11,516  8,578 	 2,938 	 5,224 
74,8 	 1,37057 	 11,438  8,594 	 2,844 	 5,188 
74,9 	 1,37122 	 11,443  8,609 	 2,834 	 5,191 
75,0 	 1,37187 	 11,449  8,624 	 2,825 	 5,193 
75,1 	 1,37252 	 11,454  8,640 	 2,814 	 5,196 
75,2 	 1,37316 	 11,460  8,656 	 2,804 	 5,198 
75,3 	 1,37381 	 11,465  8,672 	 2,793 	 5,200 
75,4 	 1,37445 	 11,470  8,687 	 2,783 	 5,203 
75,5 	 1,37510 	 11,476  8,702 	 2,774 	 5,205 
75,6 	 1,37575 	 11,481  8,718 	 2,763 	 5,208 
75,7 	 1,37640 	 11,487  8,714 	 2,773 	 5,210 
75,8 	 1,37705 	 11,492  8,734 	 2,758 	 5,213 
75,9 	 1,37770 	 11,497  8,750 	 2,747 	 5,215 
76,0 	 1,37835 	 11,503  8,781 	 2,722 	 5,218 
76,1 	 1,37902 	 11,508  8,796 	 2,712 	 5,220 
76,2 	 1,37967 	 11,514  8,812 	 2,702 	 5,223 
76,3 	 1,38032 	 11,519  8,824 	 2,695 	 5,225 
76,4 	 1,38097 	 11,525  8,843 	 2,682 	 5,228 
76,5 	 1,38162 	 11,530  8,859 	 2,671 	 5,230 
76,6 	 1,38228 	 11,536  8,875 	 2,661 	 5,233 
76,7 	 1,38293 	 11,541  8,891 	 2,650 	 5,235 
76,8 	 1,38358 	 11,547  8,906 	 2,641 	 5,237 
76,9 	 1,38423 	 11,552  8,922 	 2,630 	 5,240 
77,0 	 1,38489 	 11,557  8,938 	 2,619 	 5,242 
77,1 	 1,38554 	 11,563  8,954 	 2,609 	 5,245 
77,2 	 1,38619 	 11,568  8,970 	 2,598 	 5,247 
77,3 	 1,38685 	 11,574  8,985 	 2,589 	 5,250 
77,4 	 1,38750 	 11,579  9,002 	 2,577 	 5,252 
77,5 	 1,38816 	 11,585  9,017 	 2,568 	 5,255 
77,6 	 1,38882 	 11,590  9,033 	 2,557 	 5,257 
77,7 	 1,38949 	 11,596  9,049 	 2,547 	 5,260 
77,8 	 1,40014 	 11,685  9,065 	 2,620 	 5,300 
77,9 	 1,40080 	 11,690  9,081 	 2,609 	 5,303 
78,0 	 1,40146 	 11,696  9,097 	 2,599 	 5,305 
78,1 	 1,40211 	 11,701  9,113 	 2,588 	 5,308 
78,2 	 1,40277 	 11,707  9,128 	 2,579 	 5,310 
78,3 	 1,40344 	 11,712  9,145 	 2,567 	 5,313 
78,4 	 1,40409 	 11,718  9,160 	 2,558 	 5,315 
78,5 	 1,40475 	 11,723  9,177 	 2,546 	 5,318 
78,6 	 1,40541 	 11,729  9,192 	 2,537 	 5,320 
78,7 	 1,40607 	 11,734  9,209 	 2,525 	 5,323 
78,8 	 1,40674 	 11,740  9,224 	 2,516 	 5,325 
78,9 	 1,40740 	 11,745  9,241 	 2,504 	 5,328 
79,0 	 1,40806 	 11,751  9,256 	 2,495 	 5,330 
79,1 	 1,40872 	 11,756  9,273 	 2,483 	 5,333 
79,2 	 1,40938 	 11,762  9,289 	 2,473 	 5,335 
79,3 	 1,41005 	 11,767  9,305 	 2,462 	 5,338 
79,4 	 1,41072 	 11,773  9,322 	 2,451 	 5,340 
79,5 	 1,41138 	 11,779  9,337 	 2,442 	 5,343 
79,6 	 1,41204 	 11,784  9,354 	 2,430 	 5,345 
79,7 	 1,41270 	 11,790  9,370 	 2,420 	 5,348 
79,8 	 1,41337 	 11,795  9,386 	 2,409 	 5,350 
79,9 	 1,41404 	 11,801  9,404 	 2,397 	 5,353 
80,0 	 1,41471 	 11,806  9,418 	 2,388 	 5,355 
80,1 	 1,41537 	 11,812  9,435 	 2,377 	 5,358 
80,2 	 1,41603 	 11,817  9,451 	 2,366 	 5,360 
80,3 	 1,41670 	 11,823  9,467 	 2,356 	 5,363 
80,4 	 1,41737 	 11,828  9,483 	 2,345 	 5,365 
80,5 	 1,41804 	 11,834  9,500 	 2,334 	 5,368 
80,6 	 1,41872 	 11,840  9,516 	 2,324 	 5,370 
80,7 	 1,41937 	 11,845  9,532 	 2,313 	 5,373 
80,8 	 1,42004 	 11,851  9,549 	 2,302 	 5,375 
80,9 	 1,42072 	 11,856  9,565 	 2,291 	 5,378 
81,0 	 1,42138 	 11,862  9,582 	 2,280 	 5,381 
81,1 	 1,42205 	 11,868  9,597 	 2,271 	 5,383 
81,2 	 1,42272 	 11,873  9,614 	 2,259 	 5,386 
81,3 	 1,42339 	 11,879  9,630 	 2,249 	 5,388 
81,4 	 1,42406 	 11,884  9,647 	 2,237 	 5,391 
81,5 	 1,42474 	 11,890  9,664 	 2,226 	 5,393 
81,6 	 1,42541 	 11,896  9,679 	 2,217 	 5,396 
81,7 	 1,42608 	 11,901  9,696 	 2,205 	 5,398 
81,8 	 1,42675 	 11,907  9,712 	 2,195 	 5,401 
81,9 	 1,42742 	 11,912  9,729 	 2,183 	 5,403 
82,0 	 1,42810 	 11,918  9,746 	 2,172 	 5,406 
82,1 	 1,42878 	 11,924  9,762 	 2,162 	 5,409 
82,2 	 1,42946 	 11,929  9,779 	 2,150 	 5,411 
82,3 	 1,43013 	 11,935  9,795 	 2,140 	 5,414 
82,4 	 1,43080 	 11,941  9,811 	 2,130 	 5,416 
82,5 	 1,43148 	 11,946  9,828 	 2,118 	 5,419 
82,6 	 1,43214 	 11,952  9,844 	 2,108 	 5,421 
82,7 	 1,43282 	 11,957  9,861 	 2,096 	 5,424 
82,8 	 1,43350 	 11,963  9,878 	 2,085 	 5,426 
82,9 	 1,43417 	 11,969  9,894 	 2,075 	 5,429 
83,0 	 1,43486 	 11,974  9,911 	 2,063 	 5,432 
83,1 	 1,43556 	 11,980  9,927 	 2,053 	 5,434 
83,2 	 1,43621 	 11,986  9,944 	 2,042 	 5,437 
83,3 	 1,43688 	 11,991  9,977 	 2,014 	 5,439 
83,4 	 1,43756 	 11,997  9,994 	 2,003 	 5,442 
83,5 	 1,43824 	 12,003  10,011  1,992 	 5,444 
83,6 	 1,43894 	 12,009  10,027  1,982 	 5,447 
83,7 	 1,43961 	 12,014  10,044  1,970 	 5,450 
83,8 	 1,44029 	 12,020  10,061  1,959 	 5,452 
83,9 	 1,44097 	 12,025  10,078  1,947 	 5,455

[editar] Uso

La escala Brix se utiliza en el sector de alimentos, para medir la cantidad aproximada de azúcares en zumos de fruta, vino o bebidas suaves, y en la industria del azúcar. Diversos países utilizan las tres escalas en diversas industrias. En el Reino Unido la elaboración de la cerveza se mide con la gravedad específica X 1000, grados europeos de la escala Plato del uso de los breweres; y las industrias de los EE.UU. utilizan una mezcla de la gravedad específica de los grados Brix, los grados Baumé y los grados de la escala Plato.

Para los zumos de fruta, un grado Brix indica cerca de 1-2 % de azúcar por peso. Ya que los grados Brix se relacionan con la concentración de los sólidos disueltos (sobre todo sacarosa) en un líquido, tienen que ver con la gravedad específica del líquido. La gravedad específica de las soluciones de la sacarosa también pueden medirse con un refractómetro. Por su facilidad de empleo, los refractómetros se prefieren sobre los aerómetros marcados para la escala de Brix.

Los refractómetros de temperatura compensada evitan la dependencia de la temperatura de las medidas de la gravedad específica y requieren solamente una gota o dos de la muestra para tomar una lectura.

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