3874 | 3869 | 3870 | 3866 | 3867 | 3864 | 3863 | 3862 | 3861 | 3860 | 3859 | 3838 | 3857 | 3858 | 3855 | 3856 | 3851 | 3853 | 3854 | 3849 | 3850 | 3852 | 3845 | 3846 | 3848 | 3843 | 3840 | 3841 | 3842 | 3837 | 3836 | 3833 | 3831 | 3832 | 3829 | 3827 | 3828 | 3826 | 3824 | 3823 | 3822 | 3820 | 3819 | 3818 | 3815 | 3816 | 3817 | 3814 | 3813 | 3811 | 3810 | 3806 | 3807 | 3808 | 3805 | 3803 | 3802 | 3801 | 3800 | 3797 | 3798 | 3796 | 3793 | 3794 | 3792 | 3789 | 3786 | 3784 | 3787 | 3781 | 3779 | 3775 | 3773 | 3774 | 3772 | 3767 | 3768 | 3769 | 3762 | 3760 | 3759 | 3755 | 3752 | 3753 | 3754 | 3750 | 3748 | 3749 | 3742 | 3743 | 3745 | 3746 | 3747 | 3740 | 3737 | 3738 | 3739 | 3736 | 3734 | 3733 | 3732 | 3731 | 3729 | 3728 | 3726 | 3725 | 3724 | 3723 | 3721 | 3719 | 3720 | 3718 | 3716 | 3713 | 3712 | 3711 | 3710 | 3709 | 3707 | 3708 | 3706 | 3705 | 3704 | 3702 | 3701 | 3700 | 3699 | 3698 | 3695 | 3696 | 3697 | 3692 | 3693 | 3694 | 3690 | 3691 | 3689 | 3688 | 3685 | 3686 | 3679 | 3678 | 3676 | 3675 | 3674 | 3672 | 3673 | 3663 | 3664 | 3661 | 3656 | 3657 | 3658 | 3659 | 3651 | 3652 | 3654 | 3655 | 3650 | 3649 | 3648 | 3646 | 3647 | 3644 | 3645 | 3643 | 3642 | 3640 | 3639 | 3637 | 3636 | 3634 | 3635 | 3632 | 3631 | 3629 | 3630 | 3626 | 3627 | 3624 | 3625 | 3622 | 3623 | 3620 | 3619 | 3612 | 3610 | 3611 | 3606 | 3607 | 3608 | 3609 | 3602 | 3603 | 3604 | 3605 | 3601 | 3600 | 3599 | 3598 | 3596 | 3595 | 3594 | 3593 | 3591 | 3592 | 3588 | 3589 | 3585 | 3586 | 3584 | 3580 | 3581 | 3582 | 3583 | 3579 | 3577 | 3578 | 3576 | 3574 | 3572 | 3573 | 3571 | 3569 | 3570 | 3568 | 3567 | 3565 | 3562 | 3563 | 3560 | 3561 | 3559 | 3557 | 3556 | 3555 | 3554 | 3553 | 3551 | 3552 | 3550 | 3549 | 3548 | 3547 | 3546 | 3544 | 3545 | 3543 | 3542 | 3538 | 3539 | 3540 | 3541 | 3536 | 3537 | 3535 | 3534 | 3531 | 3532 | 3533 | 3529 | 3530 | 3527 | 3528 | 3526 | 3525 | 3524 | 3523 | 3522 | 3520 | 3518 | 3516 | 3517 | 3515 | 3514 | 3512 | 3513 | 3511 | 3510 | 3509 | 3508 | 3507 | 3506 | 3505 | 3504 | 3046 | 3503 | 3493 | 3494 | 3490 | 3491 | 3486 | 3489 | 3485 | 3481 | 3483 | 3492 | 3479 | 3480 | 3476 | 3477 | 3474 | 3473 | 3471 | 3470 | 3469 | 3468 | 3465 | 3466 | 3467 | 3463 | 3459 | 3460 | 3461 | 3462 | 3458 | 3457 | 3456 | 3455 | 3454 | 3452 | 3449 | 3448 | 3447 | 3446 | 3445 | 3443 | 3444 | 3442 | 3441 | 3439 | 3440 | 3437 | 3438 | 3435 | 3436 | 3431 | 3433 | 3434 | 3430 | 3427 | 3428 | 3425 | 3426 | 3423 | 3422 | 3419 | 3421 | 3418 | 3415 | 3416 | 3417 | 3414 | 3413 | 3411 | 3412 | 3409 | 3410 | 3408 | 3401 | 3402 | 3403 | 3404 | 3406 | 3407 | 3400 | 3399 | 3397 | 3393 | 3394 | 3396 | 3392 | 3391 | 3387 | 3389 | 3390 | 3385 | 3384 | 3383 | 3382 | 3379 | 3380 | 3381 | 3378 | 3376 | 3375 | 3374 | 3373 | 3372 | 3370 | 3367 | 3368 | 3369 | 3364 | 3363 | 3360 | 3359 | 3358 | 3356 | 3355 | 3354 | 3352 | 3349 | 3348 | 3347 | 3344 | 3345 | 3346 | 3343 | 3342 | 3340 | 3338 | 3339 | 3337 | 3335 | 3336 | 3334 | 3333 | 3330 | 3322 | 3319 | 3320 | 3321 | 3317 | 3316 | 3313 | 3314 | 3315 | 3312 | 3310 | 3311 | 3309 | 3307 | 3308 | 3306 | 3304 | 3303 | 3302 | 3300 | 3301 | 3298 | 3299 | 3296 | 3295 | 3293 | 3294 | 3292 | 3291 | 3290 | 3289 | 3288 | 3286 | 3285 | 3284 | 3280 | 3281 | 3282 | 3278 | 3277 | 3272 | 3273 | 3274 | 3275 | 3276 | 3271 | 3270 | 3267 | 3268 | 3265 | 3266 | 3264 | 3262 | 3261 | 3260 | 3259 | 3258 | 3257 | 3256 | 3255 | 3253 | 3254 | 3251 | 3248 | 3247 | 3245 | 3246 | 3244 | 3241 | 3239 | 3236 | 3237 | 3235 | 3234 | 3233 | 3231 | 3232 | 3230 | 3229 | 3201 | 3202 | 3203 | 3204 | 3205 | 3206 | 3207 | 3208 | 3209 | 3210 | 3211 | 3212 | 3213 | 3214 | 3215 | 3216 | 3217 | 3219 | 3220 | 3222 | 3223 | 3224 | 3226 | 3227 | 3228 | 3199 | 3198 | 3197 | 3195 | 3196 | 3191 | 3192 | 3193 | 3194 | 3188 | 3189 | 3187 | 3185 | 3186 | 3183 | 3181 | 3182 | 3179 | 3180 | 3177 | 3176 | 3175 | 3174 | 3173 | 3169 | 3167 | 3164 | 3162 | 3159 | 3158 | 3157 | 3154 | 3155 | 3156 | 3153 | 3149 | 3150 | 3144 | 3145 | 3146 | 3147 | 3148 | 3142 | 3143 | 3139 | 3141 | 3138 | 3136 | 3137 | 3132 | 3135 | 3131 | 3130 | 3127 | 3124 | 3125 | 3126 | 3122 | 3123 | 3121 | 3120 | 3117 | 3119 | 3116 | 3112 | 3113 | 3114 | 3109 | 3110 | 3111 | 3098 | 3099 | 3102 | 3103 | 3104 | 3105 | 3106 | 3107 | 3108 | 3096 | 3094 | 3095 | 3091 | 3092 | 3093 | 3089 | 3090 | 3087 | 3086 | 3082 | 3083 | 3084 | 3080 | 3081 | 3079 | 3078 | 3077 | 3074 | 3075 | 3076 | 3073 | 3072 | 3070 | 3053 | 3055 | 3056 | 3057 | 3058 | 3059 | 3060 | 3061 | 3062 | 3063 | 3064 | 3065 | 3066 | 3067 | 3068 | 3069 | 3052 | 3050 | 3051 | 3048 | 3049 | 3047 | 3044 | 3043 | 3042 | 3041 | 3040 | 3038 | 3039 | 3037 | 3036 | 3035 | 3034 | 3033 | 3029 | 3030 | 3031 | 3023 | 3024 | 3021 | 3022 | 3019 | 3016 | 3017 | 3018 | 3015 | 3012 | 3013 | 3014 | 3011 | 3010 | 3007 | 3008 | 3009 | 3005 | 3006 | 3004 | 3001 | 3002 | 3003 | 2999 | 2995 | 2996 | 2994 | 2991 | 2992 | 2993 | 2990 | 2989 | 2986 | 2987 | 2988 | 2982 | 2983 | 2984 | 2985 | 2979 | 2980 | 2976 | 2977 | 2974 | 2973 | 2970 | 2971 | 2967 | 2968 | 2969 | 2966 | 2964 | 2965 | 2963 | 2961 | 2962 | 2960 | 2958 | 2952 | 2953 | 2954 | 2955 | 2956 | 2950 | 2951 | 2948 | 2949 | 2945 | 2946 | 2947 | 2944 | 2943 | 2939 | 2940 | 2941 | 2942 | 2937 | 2938 | 2936 | 2935 | 2929 | 2930 | 2931 | 2932 | 2933 | 2934 | 2928 | 2927 | 2925 | 2926 | 2921 | 2922 | 2923 | 2924 | 2919 | 2920 | 2917 | 2918 | 2915 | 2916 | 2913 | 2914 | 2912 | 2911 | 2910 | 2909 | 2907 | 2908 | 2906 | 2905 | 2903 | 2904 | 2900 | 2899 | 2898 | 2893 | 2894 | 2895 | 2896 | 2897 | 2890 | 2891 | 2892 | 2887 | 2888 | 2889 | 2885 | 2882 | 2883 | 2884 | 2880 | 2881 | 2878 | 2877 | 2872 | 2873 | 2874 | 2875 | 2876 | 2871 | 2868 | 2869 | 2870 | 2866 | 2867 | 2865 | 2864 | 2862 | 2863 | 2861 | 2860 | 2858 | 2859 | 2856 | 2857 | 2854 | 2855 | 2853 | 2852 | 2848 | 2849 | 2850 | 2847 | 2845 | 2846 | 2843 | 2842 | 2840 | 2841 | 2839 | 2838 | 2837 | 2836 | 2835 | 2833 | 2834 | 2832 | 2831 | 2828 | 2829 | 2827 | 2826 | 2825 | 2824 | 2822 | 2823 | 2820 | 2821 | 2819 | 2816 | 2815 | 2814 | 2813 | 2812 | 2811 | 2793 | 2794 | 2795 | 2796 | 2797 | 2798 | 2799 | 2800 | 2801 | 2802 | 2803 | 2804 | 2805 | 2806 | 2807 | 2808 | 2809 | 2810 | 2791 | 2792 | 2790 | 2787 | 2788 | 2784 | 2785 | 2786 | 2781 | 2782 | 2780 | 2777 | 2778 | 2779 | 2776 | 2775 | 2774 | 2772 | 2771 | 2769 | 2770 | 2768 | 2767 | 2766 | 2764 | 2765 | 2762 | 2763 | 2761 | 2760 | 2759 | 2758 | 2756 | 2752 | 2753 | 2754 | 2755 | 2750 | 2751 | 2748 | 2749 | 2747 | 2745 | 2746 | 2742 | 2743 | 2740 | 2741 | 2739 | 2737 | 2738 | 2736 | 2735 | 2734 | 2733 | 2732 | 2729 | 2730 | 2731 | 2728 | 2727 | 2726 | 2723 | 2724 | 2725 | 2722 | 2719 | 2720 | 2721 | 2718 | 2716 | 2715 | 2714 | 2713 | 2712 | 2711 | 2709 | 2708 | 2706 | 2707 | 2704 | 2705 | 2703 | 2702 | 2700 | 2693 | 2694 | 2695 | 2696 | 2697 | 2698 | 2699 | 2692 | 2690 | 2691 | 2689 | 2688 | 2687 | 2686 | 2685 | 2684 | 2683 | 2680 | 2681 | 2682 | 2678 | 2679 | 2677 | 2676 | 2675 | 2674 | 2673 | 2672 | 2671 | 2670 | 2669 | 2666 | 2668 | 2664 | 2665 | 2662 | 2663 | 2660 | 2661 | 2656 | 2657 | 2658 | 2659 | 2655 | 2654 | 2653 | 2652 | 2649 | 2650 | 2651 | 2646 | 2647 | 2648 | 2643 | 2644 | 2641 | 2642 | 2639 | 2640 | 2637 | 2638 | 2635 | 2636 | 2633 | 2634 | 2631 | 2632 | 2630 | 2629 | 2627 | 2628 | 2624 | 2626 | 2621 | 2622 | 2623 | 2618 | 2619 | 2617 | 2614 | 2615 | 2616 | 2613 | 2612 | 2607 | 2608 | 2609 | 2611 | 2606 | 2605 | 2602 | 2603 | 2604 | 2600 | 2601 | 2599 | 2598 | 2597 | 2595 | 2596 | 2591 | 2592 | 2593 | 2594 | 2585 | 2586 | 2587 | 2588 | 2589 | 2590 | 2584 | 2583 | 2582 | 2581 | 2578 | 2580 | 2576 | 2577 | 2573 | 2574 | 2575 | 2572 | 2571 | 2566 | 2567 | 2569 | 2570 | 2563 | 2565 | 2562 | 2561 | 2560 | 2558 | 2559 | 2557 | 2556 | 2554 | 2555 | 2551 | 2552 | 2548 | 2549 | 2550 | 2547 | 2545 | 2546 | 2542 | 2543 | 2544 | 2540 | 2541 | 2539 | 2537 | 2536 | 2533 | 2534 | 2535 | 2531 | 2532 | 2530 | 2528 | 2525 | 2526 | 2527 | 2522 | 2523 | 2521 | 2519 | 2520 | 2518 | 2517 | 2516 | 2515 | 2514 | 2513 | 2511 | 2512 | 2509 | 2510 | 2508 | 2506 | 2507 | 2505 | 2504 | 2503 | 2502 | 2501 | 2499 | 2490 | 2494 | 2495 | 2496 | 2497 | 2498 | 2489 | 2488 | 2487 | 2486 | 2485 | 2484 | 2483 | 2482 | 2481 | 2479 | 2480 | 2478 | 2474 | 2475 | 2476 | 2477 | 2472 | 2473 | 2471 | 2470 | 2465 | 2466 | 2467 | 2468 | 2469 | 2464 | 2461 | 2460 | 2459 | 2458 | 2457 | 2454 | 2455 | 2456 | 2451 | 2452 | 2453 | 2449 | 2450 | 2447 | 2448 | 2442 | 2443 | 2444 | 2445 | 2446 | 2440 | 2441 | 2439 | 2436 | 2437 | 2438 | 2434 | 2435 | 2433 | 2432 | 2429 | 2430 | 2431 | 2425 | 2426 | 2427 | 2428 | 2422 | 2423 | 2424 | 2421 | 2417 | 2418 | 2419 | 2420 | 2416 | 2415 | 2412 | 2411 | 2410 | 2408 | 2409 | 2407 | 2406 | 2405 | 2403 | 2404 | 2402 | 2401 | 2400 | 2399 | 2398 | 2397 | 2396 | 2395 | 2394 | 2392 | 2393 | 2390 | 2389 | 2387 | 2386 | 2385 | 2384 | 2383 | 2380 | 2375 | 2376 | 2377 | 2378 | 2379 | 2374 | 2373 | 2372 | 2371 | 2369 | 2370 | 2366 | 2368 | 2361 | 2362 | 2363 | 2364 | 2365 | 2360 | 2359 | 2355 | 2356 | 2357 | 2354 | 2353 | 2350 | 2351 | 2348 | 2349 | 2346 | 2347 | 2344 | 2345 | 2343 | 2342 | 2341 | 2337 | 2339 | 2340 | 2335 | 2336 | 2334 | 2333 | 2328 | 2329 | 2330 | 2331 | 2332 | 2327 | 2326 | 2323 | 2324 | 2325 | 2322 | 2321 | 2316 | 2317 | 2318 | 2319 | 2320 | 2314 | 2315 | 2311 | 2312 | 2313 | 2309 | 2308 | 2306 | 2307 | 2304 | 2305 | 2303 | 2299 | 2300 | 2301 | 2297 | 2294 | 2295 | 2296 | 2292 | 2278 | 2279 | 2280 | 2282 | 2283 | 2284 | 2285 | 2286 | 2287 | 2288 | 2289 | 2290 | 2273 | 2274 | 2275 | 2276 | 2277 | 2271 | 2270 | 2269 | 2266 | 2265 | 2263 | 2264 | 2262 | 2260 | 2261 | 2259 | 2258 | 2257 | 2255 | 2256 | 2254 | 2250 | 2252 | 2249 | 2247 | 2248 | 2246 | 2242 | 2243 | 2245 | 2239 | 2240 | 2241 | 2235 | 2236 | 2237 | 2238 | 2234 | 2233 | 2232 | 2231 | 2230 | 2229 | 2225 | 2226 | 2224 | 2222 | 2223 | 2220 | 2221 | 2218 | 2219 | 2216 | 2217 | 2214 | 2215 | 2213 | 2211 | 2212 | 2210 | 2209 | 2208 | 2207 | 2206 | 2205 | 2203 | 2204 | 2202 | 2201 | 2199 | 2200 | 2198 | 2197 | 2195 | 2196 | 2194 | 2192 | 2193 | 2191 | 2189 | 2190 | 2188 | 2186 | 2187 | 2185 | 2184 | 2182 | 2183 | 2180 | 2178 | 2179 | 2176 | 2177 | 2172 | 2173 | 2174 | 2175 | 2171 | 2166 | 2167 | 2169 | 2170 | 2165 | 2156 | 2157 | 2158 | 2159 | 2161 | 2162 | 2164 | 2153 | 2154 | 2155 | 2151 | 2150 | 2148 | 2149 | 2142 | 2143 | | 2145 | 2146 | 2147 | 2140 | 2141 | 2138 | 2139 | 2136 | 2137 | 2135 | 2129 | 2130 | 2131 | 2132 | 2133 | 2134 | 2128 | 2127 | 2126 | 2125 | 2124 | 2121 | 2122 | 2123 | 2118 | 2117 | 2115 | 2116 | 2114 | 2113 | 2112 | 2111 | 2109 | 2108 | 2107 | 2106 | 2104 | 2105 | 2101 | 2102 | 2103 | 2099 | 2100 | 2096 | 2094 | 2095 | 2093 | 2092 | 2091 | 2089 | 2090 | 2088 | 2087 | 2086 | 2085 | 2084 | 2082 | 2083 | 2081 | 2078 | 2079 | 2080 | 2076 | 2077 | 2073 | 2074 | 2075 | 2071 | 2069 | 2066 | 2067 | 2068 | 2064 | 2060 | 2061 | 2062 | 2059 | 2057 | 2058 | 2052 | 2053 | 2054 | 2055 | 2056 | 2049 | 2050 | 2051 | 2048 | 2047 | 2046 | 2042 | 2043 | 2044 | 2045 | 2040 | 2039 | 2038 | 2036 | 2035 | 2029 | 2030 | 2031 | 2033 | 2034 | 2027 | 2024 | 2025 | 2026 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2016 | 2015 | 2014 | 2013 | 2010 | 2011 | 2012 | 2008 | 2009 | 2007 | 2001 | 2002 | 2003 | 2004 | 2005 | 1993 | 1995 | 1998 | 2000 | 1990 | 1991 | 1987 | 1988 | 1986 | 1983 | 1984 | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1974 | 1975 | 1973 | 1972 | 1970 | 1968 | 1969 | 1967 | 1966 | 1965 | 1964 | 1962 | 1961 | 1959 | 1960 | 1955 | 1956 | 1957 | 1954 | 1952 | 1953 | 1950 | 1951 | 1948 | 1947 | 1946 | 1944 | 1945 | 1940 | 1941 | 1942 | 1943 | 1939 | 1934 | 1935 | 1936 | 1937 | 1938 | 1932 | 1933 | 1931 | 1930 | 1928 | 1927 | 1922 | 1923 | 1924 | 1925 | 1926 | 1916 | 1918 | 1919 | 1920 | 1921 | 1915 | 1914 | 1906 | 1907 | 1908 | 1909 | 1910 | 1911 | 1912 | 1913 | 1902 | 1904 | 1905 | 1895 | 1896 | 1897 | 1899 | 1900 | 1901 | 1891 | 1893 | 1894 | 1890 | 1888 | 1889 | 1887 | 1885 | 1882 | 1883 | 1884 | 1874 | 1875 | 1876 | 1877 | 1878 | 1879 | 1870 | 1871 | 1872 | 1873 | 1868 | 1867 | 1866 | 1865 | 1864 | 1858 | 1859 | 1860 | 1861 | 1862 | 1863 | 1854 | 1855 | 1850 | 1851 | 1852 | 1848 | 1849 | 1846 | 1847 | 1843 | 1844 | 1845 | 1842 | 1831 | 1832 | 1833 | 1834 | 1835 | 1836 | 1838 | 1839 | 1840 | 1841 | 1828 | 1829 | 1830 | 1827 | 1826 | 1825 | 1823 | 1824 | 1818 | 1819 | 1820 | 1821 | 1822 | 1817 | 1815 | 1816 | 1814 | 1812 | 1811 | 1809 | 1810 | 1807 | 1806 | 1805 | 1804 | 1803 | 1802 | 1796 | 1797 | 1798 | 1799 | 1800 | 1801 | 1792 | 1793 | 1794 | 1791 | 1790 | 1789 | 1788 | 1786 | 1785 | 1781 | 1782 | 1783 | 1784 | 1780 | 1779 | 1776 | 1775 | 1772 | 1773 | 1770 | 1769 | 1768 | 1767 | 1763 | 1765 | 1766 | 1762 | 1760 | 1761 | 1757 | 1758 | 1759 | 1755 | 1749 | 1750 | 1751 | 1752 | 1753 | 1754 | 1748 | 1747 | 1745 | 1744 | 1742 | 1743 | 1740 | 1736 | 1737 | 1735 | 1733 | 1732 | 1729 | 1722 | 1723 | 1716 | 1717 | 1718 | 1715 | 1714 | 1712 | 1713 | 1711 | 1710 | 1709 | 1708 | 1706 | 1705 | 1699 | 1700 | 1701 | 1702 | 1703 | 1704 | 1693 | 1694 | 1695 | 1696 | 1697 | 1692 | 1687 | 1690 | 1691 | 1685 | 1686 | 1683 | 1684 | 1682 | 1681 | 1679 | 1677 | 1678 | 1675 | 1674 | 1671 | 1672 | 1669 | 1668 | 1665 | 1666 | 1667 | 1663 | 1662 | 1659 | 1658 | 1657 | 1654 | 1655 | 1656 | 1650 | 1647 | 1648 | 1649 | 1638 | 1637 | 1636 | 1635 | 1628 | 1623 | 1625 | 1626 | 1627 | 1618 | 1619 | 1622 | 1614 | 1615 | 1616 | 1617 | 1613 | 1603 | 1606 | 1607 | 1608 | 1609 | 1611 | 1612 | 1591 | 1592 | 1593 | 1594 | 1595 | 1596 | 1597 | 1598 | 1599 | 1600 | 1602 | 1578 | 1579 | 1580 | 1581 | 1582 | 1583 | 1584 | 1585 | 1586 | 1587 | 1588 | 1589 | 1590 | 1576 | 1577 | 1575 | 1574 | 1573 | 1288 | 1570 | 1565 | 1566 | 1567 | 1568 | 1564 | 1560 | 1559 | 1555 | 1556 | 1557 | 1558 | 1551 | 1553 | 1554 | 1548 | 1549 | 1550 | 1547 | 1545 | 1546 | 1543 | 1544 | 1537 | 1538 | 1542 | 1533 | 1531 | 1529 | 1528 | 1525 | 1526 | 1527 | 1523 | 1524 | 1521 | 1520 | 1517 | 1518 | 1519 | 1515 | 1516 | 1509 | 1510 | 1511 | 1504 | 1505 | 1506 | 1507 | 1508 | 1499 | 1500 | 1501 | 1502 | 1503 | 1497 | 1498 | 1493 | 1494 | 1495 | 1496 | 1489 | 1488 | 1487 | 1485 | 1484 | 1479 | 1481 | 1483 | 1621 | 1477 | 1476 | 1472 | 1473 | 1471 | 1470 | 1468 | 1469 | 1467 | 1454 | 1457 | 1458 | 1459 | 1460 | 1461 | 1462 | 1463 | 1452 | 1451 | 1446 | 1447 | 1448 | 1449 | 1450 | 1442 | 1443 | 1432 | 1435 | 1436 | 1437 | 1439 | 1396 | 1399 | 1401 | 1402 | 1403 | 1404 | 1405 | 1407 | 1408 | 1409 | 1410 | 1411 | 1412 | 1413 | 1414 | 1418 | 1419 | 1420 | 1421 | 1422 | 1423 | 1424 | 1425 | 1426 | 1427 | 1429 | 1430 | 1341 | 1342 | 1343 | 1344 | 1391 | 1392 | 1393 | 1394 | 1339 | 1340 | 1337 | 1329 | 1330 | 1331 | 1332 | 1333 | 1335 | 1328 | 1327 | 1321 | 1322 | 1323 | 1324 | 1325 | 1320 | 1301 | 1302 | 1303 | 1304 | 1305 | 1306 | 1307 | 1308 | 1309 | 1310 | 1311 | 1312 | 1313 | 1314 | 1315 | 1297 | 1298 | 1299 | 1300 | 1291 | 1292 | 1293 | 1295 | 1296 | 1290 | 1280 | 1281 | 1282 | 1285 | 1286 | 1287 | 1279 | 1276 | 1277 | 1278 | 1275 | 1264 | 1265 | 1266 | 1268 | 1269 | 1270 | 1271 | 1272 | 1273 | 1261 | 1262 | 1259 | 1260 | 1257 | 1258 | 1255 | 1254 | 1252 | 1250 | 1249 | 1247 | 1243 | 1244 | 1245 | 1246 | 1241 | 1242 | 1240 | 1238 | 1239 | 1237 | 1236 | 1235 | 1231 | 1232 | 1233 | 1234 | 1228 | 1229 | 1230 | 1224 | 1225 | 1226 | 1223 | 1220 | 1221 | 1222 | 1215 | 1216 | 1217 | 1218 | 1211 | 1212 | 1213 | 1214 | 1209 | 1210 | 1208 | 1202 | 1204 | 1205 | 1206 | 1200 | 1201 | 1199 | 1196 | 1198 | 1192 | 1193 | 1189 | 1190 | 1191 | 1185 | 1178 | 1179 | 1182 | 1184 | 1166 | 1167 | 1168 | 1169 | 1171 | 1173 | 1174 | 1164 | 1163 | 1153 | 1154 | 1155 | 1156 | 1157 | 1158 | 1159 | 1160 | 1161 | 1151 | 1152 | 1147 | 1148 | 1149 | 1146 | 1142 | 1143 | 1144 | 1145 | 1138 | 1139 | 1140 | 1136 | 1133 | 1134 | 1135 | 1132 | 629 | 1130 | 1131 | 1129 | 1123 | 1124 | 1125 | 1126 | 1127 | 1128 | 1122 | 1121 | 1120 | 1119 | 1116 | 1117 | 1118 | 1115 | 1114 | 1108 | 1109 | 1111 | 1112 | 1113 | 1107 | 1106 | 1099 | 1100 | 1101 | 1102 | 1103 | 1098 | 1094 | 1095 | 1097 | 1093 | 1091 | 1092 | 1089 | 1090 | 1088 | 1085 | 1086 | 1081 | 1082 | 1078 | 1079 | 1080 | 1076 | 1077 | 1075 | 1074 | 743 | 1072 | 1073 | 1070 | 1071 | 1069 | 1068 | 1067 | 1057 | 1058 | 1059 | 1060 | 1061 | 1062 | 1063 | 1064 | 1065 | 1066 | 1055 | 730 | 1047 | 1048 | 1049 | 1050 | 1051 | 1052 | 1053 | 1042 | 1043 | 1044 | 1045 | 1046 | 1036 | 1037 | 1038 | 1039 | 1040 | 1041 | 1034 | 1035 | 910 | 1032 | 935 | 1030 | 1031 | 1026 | 1027 | 1028 | 1029 | 1024 | 1025 | 1023 | 1021 | 1022 | 1018 | 1019 | 1020 | 1017 | 684 | 1016 | 1015 | 890 | 1014 | 1011 | 1012 | 1013 | 1010 | 1009 | 1008 | 1007 | 660 | 1006 | 690 | 1005 | 1002 | 1003 | 997 | 999 | 1000 | 1001 | 996 | 995 | 994 | 987 | 988 | 989 | 990 | 991 | 992 | 984 | 985 | 986 | 431 | 983 | 982 | 979 | 980 | 981 | 961 | 977 | 978 | 975 | 976 | 972 | 974 | 969 | 970 | 971 | 968 | 911 | 967 | 817 | 850 | 853 | 658 | 659 | 439 | 966 | 964 | 962 | 963 | 960 | 958 | 959 | 957 | 954 | 955 | 956 | 952 | 953 | 949 | 950 | 951 | 947 | 948 | 946 | 945 | 944 | 943 | 942 | 941 | 938 | 936 | 937 | 934 | 931 | 932 | 933 | 752 | 292 | 815 | 816 | 819 | 316 | 832 | 839 | 846 | 847 | 854 | 855 | 863 | 864 | 865 | 362 | 879 | 888 | 891 | 918 | 689 | 716 | 722 | 724 | 741 | 744 | 746 | 749 | 750 | 929 | 927 | 928 | 925 | 926 | 924 | 153 | 923 | 919 | 920 | 921 | 916 | 914 | 912 | 908 | 909 | 905 | 906 | 464 | 354 | 904 | 878 | 900 | 893 | 894 | 895 | 896 | 897 | 892 | 898 | 899 | 889 | 351 | 885 | 886 | 880 | 881 | 883 | 884 | 667 | 874 | 875 | 361 | 930 | 940 | 430 | 434 | 873 | 825 | 826 | 828 | 829 | 844 | 845 | 849 | 852 | 856 | 857 | 858 | 859 | 860 | 870 | 697 | 764 | 862 | 861 | 818 | 851 | 663 | 830 | 831 | 833 | 834 | 835 | 836 | 838 | 840 | 842 | 843 | 824 | 837 | 822 | 820 | 801 | 810 | 811 | 812 | 814 | 628 | 656 | 657 | 661 | 664 | 665 | 666 | 668 | 669 | 670 | 674 | 675 | 677 | 678 | 680 | 681 | 682 | 683 | 685 | 686 | 687 | 688 | 691 | 692 | 693 | 694 | 696 | 698 | 699 | 700 | 701 | 702 | 703 | 704 | 705 | 713 | 459 | 717 | 719 | 720 | 721 | 725 | 729 | 731 | 734 | 736 | 737 | 740 | 748 | 751 | 754 | 755 | 756 | 757 | 758 | 759 | 760 | 761 | 762 | 711 | 813 | 809 | 808 | 803 | 804 | 805 | 364 | 802 | 800 | 798 | 796 | 797 | 795 | 791 | 792 | 793 | 794 | 461 | 790 | 787 | 788 | 770 | 771 | 772 | 773 | 774 | 775 | 777 | 782 | 784 | 768 | 769 | 767 | 765 | 766 | 626 | 726 | 727 | 728 | 710 | 706 | 295 | 444 | 484 | 652 | 654 | 655 | 643 | 646 | 647 | 648 | 649 | 650 | 630 | 631 | 633 | 634 | 635 | 638 | 639 | 640 | 564 | 578 | 579 | 582 | 583 | 584 | 587 | 588 | 590 | 591 | 592 | 593 | 594 | 595 | 596 | 597 | 598 | 599 | 600 | 601 | 602 | 603 | 604 | 605 | 606 | 607 | 608 | 609 | 610 | 611 | 613 | 614 | 615 | 616 | 617 | 618 | 619 | 620 | 623 | 438 | 442 | 443 | 447 | 448 | 455 | 465 | 466 | 472 | 473 | 481 | 482 | 483 | 576 | 575 | 562 | 532 | 535 | 537 | 539 | 541 | 543 | 545 | 547 | 551 | 553 | 555 | 513 | 514 | 515 | 516 | 517 | 518 | 519 | 520 | 521 | 522 | 523 | 524 | 525 | 526 | 527 | 528 | 530 | 500 | 501 | 502 | 503 | 504 | 505 | 506 | 507 | 508 | 509 | 511 | 487 | 488 | 489 | 491 | 492 | 495 | 496 | 499 | 458 | 456 | 360 | 294 | 293 | 415 | 416 | 404 | 402 | 398 | 401 | 377 | 386 | 372 | 369 | 368 | 358 | 344 | 353 | 355 | 321 | 322 | 325 | 319 | 257 | 8 | 13 | 14 | 271 | 272 | 33 | 289 | 34 | 35 | 296 | 44 | 45 | 86 | 98 | 100 | 106 | 117 | 139 | 145 | 159 | 182 | 183 | 184 | 185 | 210 | 211 | 212 | 216 | 222 | 223 | 235 | 239 | 240 | 243 | 246 | 248 | 250 | 3587 | 3590 | 3160

A reason for DIY underglazes:

Higher specific gravity to go on thicker

Underglazes should normally be made as high-specific-gravity slurries (more solids, less water than glazes). This is so that they will go on as thick as possible with one brush stroke (an obvious need for fluid brushwork designs). Something went wrong with this commercial red product; it is painting on far too thin and has very poor physical covering power and adhesion compared to the black underneath (of the same brand). Why? Because the specific gravity is only 1.22! A practical solution is to allow it to evaporate for a few days to raise that as high as possible while still being brushable. Or, add a gelling agent.

Related Pictures

A reason for DIY underglaze: Black!

Better coverage, control of bleeding

This picture has its own page with more detail, click here to see it.

Black brushwork needs to go on thick enough in one brushstroke. Commercial products we have don't do that - thus my motivation to work. I am experimenting on cone 6 Polar Ice porcelain jiggered bowls using G2926B dipping glaze. The ceramic medium here is a 90:10 MNP:nepheline syenite mix (use a ballclay/feldspar mix as an alternative). To that, I add 15% black stain, 1.5% CMC gum and 5% bentonite. With the CMC gum and bentonite, and blender mixing, a brushable consistency that stays put can be achieved at a fairly low water content compared to commercial products (enabling it to go on thicker in a single brush stroke). Assuming application at leather hard state, the drying and firing shrinkage can be matched to the body by varying the percentage of bentonite. And the percentage of stain can be tuned for enough color but no bleeding, bubble clouding or crystallization. And I can adjust the degree of maturity by varying the proportions of MNP and Nepheline (commercial underglazes often melt too much by cone 6 and fade and diffuse as a result), this one stays opaque black.

This underglaze is too thin to cover well.

I fixed it in under a minute. Sort of.

This picture has its own page with more detail, click here to see it.

Right: My attempts to apply a layer of watery white underglaze to leather-hard clay. Not surprising that I measured the water content of this at 68%. Yikes!

Left: After adding about a gram of Epsom Salts (and blender-mixing it in to dissolve), the slurry became thixotropic and gelled enough to enable applying a thicker layer with no problem. Note how it stays on the spoon. However, there is still an issue: Multple layers are needed, with lots of drying time between them. The low solids loading of this product also makes it tricky to use on bisque ware (more time is needed between the thinner coats it creates). Allowing it to settle and pouring off water, or evaporating some of the water to raise the specific gravity, would make it even better.

Links

Projects

DIY Underglaze Development
I studied a range of underglazes to understand what they are. Instead, I found out what they should be and how DIY is the key to tuning the degree of fired maturity for my temperature, minimizing costs and tuning the working properties.

PayPal

No tracking, No ads, No paywall, No transient content!
Just organized, concise information constantly updated and improved.
Was this helpful? Consider supporting me.

Got a Question?

Buy me a coffee and we can talk