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2072,3796,2880,3850,664,356,1088,1306,4032,294,1787,2568,3080,1161,2534,1079,579,3136,1901,2391,3342,3297,2371,3911,4034,2318,904,1214,2143,1441,3947,1183,2225,460,2051,3405,534,2221,332,3790,1198,552,3382,2622,2501,358,2255,1974,3900,2886,3315,2197,445,610,299,1462,1517,1878,4046,247,1621,3482,309,100,2915,3518,3158,3954,2816,3735,3882,2294,807,4029,3481,832,1439,2994,2848,3859,2554,3301,3033,959,2244,1157,4063,1525,686,2105,3544,3758,676,1596,1115,2122,132,1711,230,265,577,3283,844,2929,168,2863,908,2515,2549,2487,1684,669,3288,1155,1444,2113,643,1647,3035,2874,2827,560,1430,3706,754,3357,3523,2408,2015,3847,337,3969,1000,628,575,2083,3864,3499,3704,3445,2406,2548,3215,2480,2541,2742,1771,2214,1328,2595,2768,106,1865,3180,1178,3643,1401,364,1690,318,771,3148,3339,1813,659,592,2596,435,1031,2823,995,3592,1591,2537,292,3725,160,2705,1478,3649,3538,1094,3731,2703,3671,2242,2203,2479,551,2420,1674,2866,1580,1459,3878,2057,3709,3242,2456,341,3099,289,1964,1577,3690,1480,1073,3942,3844,3477,996,1934,313,830,825,60,1349,214,2983,750,1509,1636,2394,1554,2540,2508,3309,423,3498,3558,1643,3207,2011,917,1657,323,2830,2870,1297,1671,2036,195,2378,3135,3102,728,9)(3,2303,2381,2459,1712,1325,3910,1805,538,957,1833,848,3949,682,876,4028,3363,3415,368,1520,275,3150,1876,434,3029,611,2178,3122,1501,2332,2795,4017,3464,2183,3988,3797,3298,2831,1524,3440,1692,367,1075,3190,2577,2041,2103,1704,1106,3168,1896,2272,3839,2611,1206,4054,2653,2505,751,2295,3571,3483,151,3946,743,2531,2377,2887,1922,386,503,2730,3155,756,3853,2247,1660,1540,2873,3129,2514,3626,4065,1315,3377,1360,2621,549,256,2423,733,34,1442,863,1151,4008,479,2733,1177,2567,2694,2587,2253,49,2987,800,909,391,3997,2590,1260,2267,853,3675,1883,2289,1446,2834,1663,3257,2451,333,3185,1698,2364,3062,2839,102,464,2390,2350,1317,1423,334,281,2435,387,1463,382,3082,1952,301,166,1909,1558,1523,654,2344,2663,2485,1004,813,2052,3487,4072,1434,1159,302,1203,3577,1991,2315,1390,2265,2684,3176,2763,674,2148,1034,481,1808,4075,3959,2132,2468,3533,1048,2185,1492,3031,4092,1250,650,773,1875,2444,1775,571,474,3091,706,903,1574,1227,466,203,1379,3255,845,1440,444,3125,1264,2274,2488,3612,2641,326,2066,840,3611,527,2118,2776,960,3965,2086,3061,1837,3587,1826,2770,2442,62,1789,411,3253,2200,980,1600,2881,3862,1828,961,1924,128,3132,2717,1956,2965,1892,424,297,2330,1642,1411,1421,1067,3530,740,1527,94,763,2934,2818,2583,2032,2743,3584,2208,1114,3822,3591,2898,129,2563,623,4040,590,3023,2644,673,667,2433,663,2774,1620,2016,3682,3856,465,3249,1628,3500,3779,658,39,566,1848,499,3081,3809,1121,540,3443,3036,3874,2524,1461,1767,3459,1330,6,428,1335,1930,205,3721,1519,1639,3964,2088,1928,3407,1976,327,3541,2875,274,3697,2871,772,52,3396,285,3011,2251,2175,3993,2806,1210,4010,3307,2061,3610,3087,1467,3219,363,2073,1197,2749,615,2864,602,1781,2354,889,1274,1498,3821,3836,3252,250,2218,3727,2672,2174,605,515,1063,2102,3270,1253,3924,537,2899,1575,3201,2552,2732,1858,3470,716,2089,1406,2372,3807,2094,2884,2305,1610,136,3362,2138,4064,2594,3534,1515,2180,517,3390,979,3296,3178,1244,798,2157,71,3043,2667,2897,707,1240,2153,440,3090,2977,1915,1449,3152,1905,268,2260,1319,3784,2490,928,13,648,3545,938,3632,4011,2584,1803,2445,70,2923,1679,3615,1081,1701,641,257,3311,2085,3975,2669,3441,3128,3108,2261,1745,3092,3919,486,1239,3414,888,1953,3933,2525,1584,2299,3783,1235,1291,1220,1142,1345,3406,1747,1766,253,1721,2095,1204,3009,1998,38,3897,3020,1232,3372,26,2450,1531,2189,2757,3646,1573,321,1503,317,1939,1400,3631,1286,2398,1522,2727,1958,3925,998,3476,3340,1300,2193,2010,328,2126,801,1521,1689,3238,3833,543,3806,2789,3771,1455,2744,2939)(46,915,911,2440,1334,3673,953,3218,1436,2993,1329,2784,573,4047,2945,449,475,1696,696,189,665,3349,3071,1985,2337,775,108,2422,1058,1477,3748,2135,608,2532,2652,3896,1252,2604,1268,2607,2259,4024,1207,1284,3360,1676,188,2240,3191,1724,3233,3243,3977,1057,1792,2104,2852,3561,182,3189,546,3576,61,442,373,2359,3668,919,1101,2885,1483,346,1059,3497,578,599,3686,2507,3313,1348,2529,2759,3670,1076,1036,2099,1861,2499,2127,3302,1288,2152,2474,1889,4048,199,2276,177,2077,2805,3633,4071,455,3394,1366,1752,2958,2792,1129,1944,3245,1753,3815,1262,2679,1749,671,1593,1857)(101,2538,3832,3876,647,3007,2954,2204,545,137,1144,1166,914,949,1489,2979,2376,1895,2023,1757,3143,2971,1661)(377,2494,1914,3292)(857,2636,977,1783,2493)(1087,4014,1997,3553)(2837,4025) Generators of the automorphism group 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 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52,3109,2670,3253,3822)(185,3848,392,1409,1355,923,1562,2579,2525,2093,2732,3749,3695,3263,3902,824,770,338,977,1994,1940,1508,2147,3164,3110,2678,3317,239)(191,3896,776,386,1361,971,1946,1556,2531,2141,3116,2726,3701,3311)(192,3904,840,898,1362,979,2010,2068,2532,2149,3180,3238,3702,3319,255,313,777,394,1425,1483,1947,1564,2595,2653,3117,2734,3765,3823)(193,3912,904,1410,1363,987,2074,2580,2533,2157,3244,3750,3703,3327,319,825,778,402,1489,1995,1948,1572,2659,3165,3118,2742,3829,240)(197,3944,1160,3458,1367,1019,2330,533,2537,2189,3500,1703,3707,3359,575,2873,782,434,1745,4043,1952,1604,2915,1118,3122,2774,4085,2288)(201,3976,1416,1411,1371,1051,2586,2581,2541,2221,3756,3751,3711,3391,831,826,786,466,2001,1996,1956,1636,3171,3166,3126,2806,246,241)(205,4008,1672,3459,1375,1083,2842,534,2545,2253,4012,1704,3715,3423,1087,2874,790,498,2257,4044,1960,1668,3427,1119,3130,2838,502,2289)(206,4016,1736,3971,1376,1091,2906,1046,2546,2261,4076,2216,3716,3431,1151,3386,791,506,2321,461,1961,1676,3491,1631,3131,2846,566,2801)(213,4072,2184,3460,1383,1147,3354,535,2553,2317,429,1705,3723,3487,1599,2875,798,562,2769,4045,1968,1732,3939,1120,3138,2902,1014,2290)(214,4080,2248,3972,1384,1155,3418,1047,2554,2325,493,2217,3724,3495,1663,3387,799,570,2833,462,1969,1740,4003,1632,3139,2910,1078,2802)(215,4088,2312,389,1385,1163,3482,1559,2555,2333,557,2729,3725,3503,1727,3899,800,578,2897,974,1970,1748,4067,2144,3140,2918,1142,3314)(247,249,265,393,1417,1419,1435,1563,2587,2589,2605,2733,3757,3759,3775,3903,832,834,850,978,2002,2004,2020,2148,3172,3174,3190,3318)(248,257,329,905,1418,1427,1499,2075,2588,2597,2669,3245,3758,3767,3839,320,833,842,914,1490,2003,2012,2084,2660,3173,3182,3254,3830)(256,321,841,906,1426,1491,2011,2076,2596,2661,3181,3246,3766,3831)(261,361,1161,3466,1431,1531,2331,541,2601,2701,3501,1711,3771,3871,576,2881,846,946,1746,4051,2016,2116,2916,1126,3186,3286,4086,2296)(269,425,1673,3467,1439,1595,2843,542,2609,2765,4013,1712,3779,3935,1088,2882,854,1010,2258,4052,2024,2180,3428,1127,3194,3350,503,2297)(270,433,1737,3979,1440,1603,2907,1054,2610,2773,4077,2224,3780,3943,1152,3394,855,1018,2322,469,2025,2188,3492,1639,3195,3358,567,2809)(277,489,2185,3468,1447,1659,3355,543,2617,2829,430,1713,3787,3999,1600,2883,862,1074,2770,4053,2032,2244,3940,1128,3202,3414,1015,2298)(278,497,2249,3980,1448,1667,3419,1055,2618,2837,494,2225,3788,4007,1664,3395,863,1082,2834,470,2033,2252,4004,1640,3203,3422,1079,2810)(279,505,2313,397,1449,1675,3483,1567,2619,2845,558,2737,3789,4015,1728,3907,864,1090,2898,982,2034,2260,4068,2152,3204,3430,1143,3322)(285,553,2697,3469,1455,1723,3867,544,2625,2893,942,1714,3795,4063,2112,2884,870,1138,3282,4054,2040,2308,357,1129,3210,3478,1527,2299)(286,561,2761,3981,1456,1731,3931,1056,2626,2901,1006,2226,3796,4071,2176,3396,871,1146,3346,471,2041,2316,421,1641,3211,3486,1591,2811)(287,569,2825,398,1457,1739,3995,1568,2627,2909,1070,2738,3797,4079,2240,3908,872,1154,3410,983,2042,2324,485,2153,3212,3494,1655,3323)(288,577,2889,910,1458,1747,4059,2080,2628,2917,1134,3250,3798,4087,2304,325,873,1162,3474,1495,2043,2332,549,2665,3213,3502,1719,3835)(333,937,1674,3475,1503,2107,2844,550,2673,3277,4014,1720,3843,352,1089,2890,918,1522,2259,4060,2088,2692,3429,1135,3258,3862,504,2305)(334,945,1738,3987,1504,2115,2908,1062,2674,3285,4078,2232,3844,360,1153,3402,919,1530,2323,477,2089,2700,3493,1647,3259,3870,568,2817)(341,1001,2186,3476,1511,2171,3356,551,2681,3341,431,1721,3851,416,1601,2891,926,1586,2771,4061,2096,2756,3941,1136,3266,3926,1016,2306)(342,1009,2250,3988,1512,2179,3420,1063,2682,3349,495,2233,3852,424,1665,3403,927,1594,2835,478,2097,2764,4005,1648,3267,3934,1080,2818)(343,1017,2314,405,1513,2187,3484,1575,2683,3357,559,2745,3853,432,1729,3915,928,1602,2899,990,2098,2772,4069,2160,3268,3942,1144,3330)(349,1065,2698,3477,1519,2235,3868,552,2689,3405,943,1722,3859,480,2113,2892,934,1650,3283,4062,2104,2820,358,1137,3274,3990,1528,2307)(350,1073,2762,3989,1520,2243,3932,1064,2690,3413,1007,2234,3860,488,2177,3404,935,1658,3347,479,2105,2828,422,1649,3275,3998,1592,2819)(351,1081,2826,406,1521,2251,3996,1576,2691,3421,1071,2746,3861,496,2241,3916,936,1666,3411,991,2106,2836,486,2161,3276,4006,1656,3331)(359,1145,3338,407,1529,2315,413,1577,2699,3485,1583,2747,3869,560,2753,3917,944,1730,3923,992,2114,2900,998,2162,3284,4070,2168,3332)(414,1585,2763,3997,1584,2755,3933,1072,2754,3925,1008,2242,3924,1000,2178,3412,999,2170,3348,487,2169,3340,423,1657,3339,415,1593,2827)(581,2921,1166,3506,1751,4091,2336) The automorphism group order is 114688