This matrix will be canonized 
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1,930,1361,3412,204,2044,3085,3161,2913,3072,1785,2012,1303,2960,99,1944,3797,3009,405,1704,506,4020,1699,271,3087,1545,3911,73,1857,2786,1676,2502,3827,4069,1508,218,2352,3501,3844,2926,3005,1137,1000,1178,2372,3282,1970,1389,2032,1409,3828,3689,881,1541,2938,3600,4091,101,559,3884,3049,1184,3635,2903,1387,3247,3633,1984,3829,728,2995,2725,2155,401,2915,1186,202,4072,1861,2867,2162,1620,1776,2856,2030,867,7,1143,2596,2945,147,2598,3088,3099,3902,2415,2195,428,321,3570,1147,1648,96,1181,3337,886,424,1530,1044,372,1054,3703,2157,1401,2906,309,1829,1534,3505,706,3048,200,983,873,1647,1552,1588,3283,348,362,397,87,2062,340,2521,617,737,884,1874,2171,3716,1411,2446,3654,1628,2825,2537,1629,318,1931,760,1895,2806,3773,2996,416,1570,3080,1586,3886,4006,2199,2922,2427,602,1608,615,996,1395,1442,3981,2401,3542,955,3290,2554,3466,2811,4007,3873,2883,2133,1498,2235,1360,2404,3121,634,1217,1645,2865,766,839,2914,2276,1086,2641,3209,2079,1694,761,669,1701,3317,2617,2686,3212,3438,408,18,61,1194,68,2966,1910,2244,1872,3765,2854,2479,2819,1168,2973,852,1406,2971,1677,1753,3150,963,1791,2505,6,1520,874,1614,4032,2859,1351,2834,110,2527,2277,4080,1260,1237,2292,2743,2650,3101,3690,3357,2046,1084,3513,1879,3832,3445,2507,3222,3612,2585,1075,336,934,727,1115,1539,3717,949,1354,1038,2519,1818,3855,1719,812,3698,1783,3210,4083,3,1285,43,3714,3271,1850,3313,503,846,1220,3333,2844,1779,952,392,3047,3201,2340,258,560,897,355,671,2169,1551,3393,557,2593,2523,2122,2240,632,3988,769,964,1532,3481,1280,2733,577,406,108,3718,3353,2860,2207,2888,3250,1392,3188,54,3813,206,35,2430,3123,546,2546,52,3475,3151,3616,1531,3696,2196,2232,1233,1017,3892,572,2621,2217,1712,2543,710,1385,491,188,3587,2782,3555,3595,3841,1908,2280,2637,2626,1680,2114,3321,595,1858,2968,3019,523,1076,2159,2060,3493,4013,2639,3307,3939,3625,2805,2949,3058,2443,720,828,3851,3652,3297,2890,425,111,2895,1319,2874,1966,2569,3688,3409,247,635,3206,2992,411,2123,130,4057,3551,719,1418,1611,2591,2096,1505,2349,3179,621,980,1114,3777,2056,1493,3835,997,1615,768,3148,562,1474,753,1004,1851,2728,2036,1458,1713,1773,2431,2690,31,3104,3081,960,2156,2245,1061,2976,2685,2611,419,316,2696,500,211,3172,3369,2168,1540,3142,301,363,3191,1350,2164,3963,1820,2229,2067,3129,1663,3667,1263,1918,286,1020,505,1179,3758,754,2655,2087,1658,1649,2444,2587,2675,2871,375,3364,931,452,3488,4034,1730,2783,1068,2068,58,1150,993,868,3105,264,3744,2406,3539,3615,2658,2498,291,1597,1513,2428,1837,3132,1846,1288,1975,2160,2562,4030,1665,2746,4019,981,2470,2135,252,2482,245,2738,3311,3830,2021,1558,2305,767,159,193,1292,3720,238,3862,2400,3263,1337,135,3750,614,1546,2029,521,334,1819,3436,2564,1761,2840,3361,2846,942,1770,398,3514,3565,2412,3146,1318,2228,3879,2866,2610,65,937,741,2597,4018,2464,235,547,418,402,2483,2798,1954,495,1465,38,2885,98,1485,2781,2975,3766,126,1118,1342,2139,3389,3994,1046,2326,2583,1901,2321,3623,1971,2957,2116,2724,3390,2129,2328,1561,1637,3852,3094,3252,3068,856,174,532,3737,1875,201,810,3991,2566,3637,4039,1933,568,1526,1760,717,725,1414,185,3723,3456,3733,2711,522,2264,1287,3246,2365,2847,1321,3244,2161,2751,19,3314,3170,3023,3079,2869,2944,1798,1902,2722,1995,3433,442,957,3544,2788,224,2578,3692,460,1662,3659,3498,1275,121,1509,3425,3801,528,3344,459,199,1674,3003,3465,809,3083,610,849,2713,168,3238,494,4062,1749,1196,2172,2994,2563,3941,3422,777,1369,3112,3320,1388,4028,1240,3932,1579,4051,807,1584,3820,3919,3944,3062,2411,3666,3589,606,701,2579,1813,1160,1963,1134,2614,2487,1762,1582,2990,1010,1028,1692,358,2353,2794,481,755,3783,631,2935,1499,3267,3687,4064,2287,2304,2817,919,2325,685,1596,2799,2263,2812,2695,269,2370,1320,2137,932,1037,3781,46,2648,3853,1831,3354,1986,2376,3111,95,1926,967,2224,1790,1958,3073,69,2889,3171,3735,3976,1784,2629,4037,2791,1199,3826,2165,775,2816,3483,1460,3158,132,2556,244,1689,2765,791,3867,3348,2306,1617,1993,1876,1555,1618,2018,901,34,3376,1911,636,3066,950,2293,3745,1128,2175,1672,292,1417,28,1700,1170,32,283,538,2241,3386,1249,192,1434,914,1343,3906,2820,3325,541,2522,3338,63,544,894,3031,3878,954,2312,1714,2296,3480,716,281,2531,3482,2880,697,3303,370)(12,928,373,2476,228,2719,858,3367,3064,3674,3055,1238,1834,2100,628,659,171,2040,3877,253,608,2689,764,3078,3502,784,3469,1873,227,378,1906,1003,2999,3644,426,662,2187,2432,2958,482,1523,446,2899,2831,3168,3865,1432,2730,3638,3302,389,3754,3426,137,1475,3284,1180,943,618,2006,2558,3197,909,757,3791,2073,2394,2014,2423,891,3447,2901,2705,2965,3373,488,2348,2273,707,638,3987,116,917,921,4023,3706,2471,504,1691,1936,1957,3205,770,1812,2732,1882,537,305,4073,1331,1296,1208,3792,1940,385,1650,4043,3349,2797,1012,713,840,3553,196,4031,1439,179,2253,3926,3847,1802,1379,2380,3677,601,3395,3489,3671,4065,3789,1797,134,2961,507,1396,3624,2987,3125,4044,2322,3223,3140,1549,1763,432,3662,3095,2074,1284,2318,487,651,177,1860,2823,3214,4095,2090,520,2301,1732,3684,4053,1805,2182,2098,2084,2649,1415,2875,2894,3980,2080,1291,1524,3986,3450,593,1771,1610,1329,940,3301,1381,1567,2750,3934,404,968,797,3971,1400,1250,3945,2687,1067,1720,3118,2486,1969,1638,455,1999,2967,855,268,3763,1477,3802,1201,3032,2269,2760,2759,2250,1422,2151,2008,2061,1481,205,2045,2144,3700,191,1681,2189,1173,795,603,907,3358,3795,3008,3528,2761,248,341,1033,3590,1690,824,2683,611,2425,2033,1595,2233,3648,2541,933,346,869,148,3040,225,2660,1251,666,2102,2777,1006,2261,3435,2665,2450,2667,1606,3484,2403,2736,1026,1214,2359,2697,3448,2103,207,246,3256,1527,1651,742,511,104,2170,1589,2600,1314,214,2775,3293,2749,2248,2590,1072,2980,1081,640,1079,1702,2646,1775,745,4011,3305,2882,3378,1978,1823,2484,3647,1703,2259,2104,62,776,2117,3775,2718,3444,1317,2110,1492,3748,2001,66,525,2434,2608,178,1064,320,3057,590,2545,3265,461,433,3515,2473,81,3352,198,1142,2940,2787,128,2557,1144,1169,1925,962,454,3803,1024,1768,2118,37,2815,1685,2462,1656,2329,107,1693,3527,2421,2863,3605,3255,3507,644,2955,3740,853,4047,3896,1987,3747,661,3536,331,2124,1667,3772,3837,492,407,1272,2704,2893,2956,1573,3942,1488,1669,788,3020,663,3430,1863,1668,1301,681,1259,2845,655,780,3617,1353,2878,3173,3611,1982,976,1892,3232,536,817,906,3071,1211,1840,1960,863,1315,89,2176,774,3861,2435,3552,417,3050,642,3918,2962,2387,956,1559,1325,3568,1806,1040,866,1129,3869,1789,2978,1583,2298)(13,180,465,2181,2474,3566,736,3741,650,1390,1431,430,1504,2120,2939,3959,3116,1377,1778,3107,15,564,3167,1190,3154,215,146,3561,3492,3668,2769,1339,1921,1800,3614,2055,1848,781,1548,580,2515,485,371,3044,3022,261,2016,2367,1227,1891,2255,2493,3722,1323,3554,652,947,3341,653,1734,1521,2981,2766,2902,2350,2616,3299,2594,3899,1631,3245,1177,2281,2839,1733,2529,2941,3564,2567,2215,3569,1304,480,3531,2748,106,2581,3136,1644,2214,3936,1119,3308,1666,2026,842,3289,3130,1105,3974,434,1231,2043,122,2525,2858,3380,467,591,2039,75,1356,1036,1657,232,1204,804,3794,280,2020,3343,1537,3538,2925,619,2031,3144,3189,789,2290,2295,813,2015,3036,2163,3012,3949,302,1473,1723,3260,1138,2963,2389,1386,3601,2985,2271,2106,1514,1451,534,451,620,2088,4054,85,2238,1462,2654,3279,4086,1267,2219,747,260,3768,59,1243,3432,165,277,153,1869,94,3707,2361,1979,1101,2500,2393,2004,197,3520,2842,437,156,3500,2309,1518,2607,1393,1844,2178,2095,3351,1728,263,3046,1324,1594,915,1997,970,3458,985,351,322,3451,680,3818,3540,3362,1123,2356,2936,3276,140,2644,2260,1195,1538,865,3947,3196,181,2094,4088,2763,3910,875,526,1830,1059,771,3518,509,2717,3471,3075,876,1786,44,3077,2601,1607,1335,3875,2714,2230,4046,458,3411,3905,1533,2279,1707,3440,1009,2115,3999,226,3262,1154,300,2547,948,1744,1471,2344,1599,1152,3810,3285,3100,2284,1955,1289,1428,3819,1992,2440,289,2851,1868,50,1494,814,3787,1511,1394,2771,1043,1985,4026,1095,2881,448,45,684,3993,2624,566,3298,2221,2595,3365,3427,2876,3160,2417,977,3954,400,3065,548,3642,1772,3769,161,2330,1659,1371,3184,1625,1887,3318,1359,387,3156,3399,2625,3414,3545,2017,3726,2278,3177,3756,2289,563,4093,2909,2702,1919,1737,3434,3953,643,1752,3037,2022,582,3259,2937,2323,1724,2930)(21,473,825,2285,2709,3731,2731,1158,2512,1822,3909,3117,1652,1578,902,2813,1495,3583,1660,945,3725,2315,1621,457,1136,2767,2829,882,583,2091,694,1155,911,1801,2299,48,3943,1461,412,1686,2659,3342,1226,2916,4035,787,3253,2785,1122,3082,679,3017,1207,975,2923,1711,1230,692,3421,3888,1357,1070,604,2000,704,971,3628,624,3109,2223,998,3323,3556,3785,2576,1126,3379,3264,1005,1968,2964,2183,3025,732,951,2673,3192,1309,3596,2058,1743,36,124,1133,441,3183,3757,905,2559,916,2634,3199,3202,2121,2632,4076,3041,890,3669,895,1828,2669,1698,241,2076,3274,290,1435,2408,2179,3406,2125,3541,3796,2338,155,3155,2778,1306,2668,1894,254,2933,170,1326)(30,599,2339,1478,2354,1859,535,1192,641,1623,1031,3946,922,3157,1715,3898,1899,953,1110,1236,994,1832,1312,377,3388,918,1777,3405,1643,3124,3931,1088,1675,790,847,2265,3387,208,1413,711,705,3524,3006,834,3024,2984,183,3217,456,2492,3091,4036,493,2308,3619,1556,925,1311,1708,2540,3368,3701,3636)(131,2461,1516,1603,3016,3407,2758,3780,3562,1751,1419,1209,273,3606,184,2377,3643,4068,657,2735,2355,2670,1131,3519,3526,3517,600,3371,3533,1716,3997,2568,3416,466,2362,2715,1794,3164,1487,3961,529,4061,2841,2747,838,3917,2166,1397,3739,1149,2573,4025,3310,3128,3863,878,693,2577,3618,3702,299,1981,2918,1433,2024,1454,3381,2742)(422,3969,2337,2313,2053,2145,2982,3061,2025)(609,3193,2140,3579,1602,3560,1817,3922,830,1705,1273,1140,3060,3736,3655,3866,926,1167,1543,2679,3631,4038,913,3786,2526)
The automorphism group is generated by

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 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 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 0 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 1 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 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 1 0 1 1 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 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0
0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1
0 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1
1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1
0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1
1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0
1 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0
0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1
1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1
0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1
1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0
0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0
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66,2281,2082,614)(227,1991,3354,3430,3834,953,2301,3583,2244,2127,1946,3279,3540,1578,1349,1996,690,535,2864,727,609,1907,1886,2853,500,2650,2096,1559)(229,658,3360,572,3719,2009,2584,2440,1271,939,3693,3329,3721,2845,2545,3761,3068,2144,960,2475,2950,826,3363,259,2897,1098,3013,2813)(232,765,1326,3204,3799,1984,1457,3220,2293,2365,932,3949,3601,3653,4007,723,1485,2549,2690,2091,1100,1966,702,2117,392,4067,1505,1147)(234,3298,3733,3312,1255,3661,1247,1981,2455,3397,3286,3453,775,3741,4028,3028,574,2644,1370,1466,2067,3545,2257,2884,409,2240,3195,3536)(240,3849,436,663,646,1221,760,466,3912,3650,1051,1345,1947,1774,2881,2800,1777,1355,3003,2776,1660,3832,3970,4051,840,631,2095,351)(243,3230,1309,1820,1342,3322,1849,1560,3646,4081,1463,3445,3224,992,1760,2015,3584,3874,672,1950,2256,983,1124,1040,3274,2430,558,715)(244,2814,521,2631,2428,1001,1746,3291,3948,514,1745,1931,2523,3616,3467,995,3300,2233,1933,2625,435,1226,1334,1920,2178,3183,3408,1073)(248,2427,2109,3389,2855,878,3067,1748,3016,2434,505,1954,2878,4049,1424,1081,3317,3649,1243,767,2044,2930,974,4001,2655,276,3438,2785)(251,3019,3304,1604,3497,3201,2632,2933,1574,3218,3756,738,1429,724,386,3590,3256,1143,297,469,473,590,3941,2562,1890,3464,3190,919)(258,3852,2759,3301,927,2981,1036,2945,474,3031,2288,401,641,1099,1031,1141,2818,2013,1710,1757,3926,3341,3062,2688,1861,3403,1570,2232)(260,1167,2070,2231,1885,1155,2629,788,3250,2487,1846,3635,3575,3840,1562,1146,455,3862,1418,1050,2535,2146,1987,3516,390,1990,515,2055)(262,671,739,1561,1443,1612,3465,352,2847,1128,1703,4080,1267,2169,1621,2085,2728,1823,1892,3160,358,1792,1004,2277,3307,1637,2201,2922)(277,2115,551,1372,1343,3560,2527,1592,3509,1456,2832,418,3455,1043)(285,1262,2078,785,1346,3548,2351,518,3876,3603,2541,2563,750,2710,1851,1531,876,2442,2460,3427,2165,3569,1590,1144,2016,3205,1296,855)(288,1442,1915,1706,2289,1656,3278,328,1138,3774,2646,3281,1259,733,2397,1627,856,1768,3593,2320,1304,3038,444,1084,2422,1514,2356,567)(289,306,3492,1430,4025,1330,2668,4030,2572,2941,3490,3640,676,1227,2721,3900,3758,2784,2839,3120,3240,353,1042,2080,1708,3793,3866,2795)(292,472,3333,1376,2605,3084,368,3562,431,1401,2576,2792,2586,3076,3460,1056,2637,3883,895,3699,379,1474,3297,1083,1738,485,3404,592)(293,2496,2777,2712,3012,3020,2890,1480,2479,3212,3960,3293,2616,920,3049,1705,3604,1287,1951,479,4068,3857,2609,3662,1709,935,701,993)(313,3234,3203,1142,3836,1187,1756,2441,2181,981,1765,2520,2216,2018,773,1381,2554,3328,552,3134,3502,2622,4003,814,3070,314,759,1898)(318,749,3559,616,2140,2518,2770,1804,2410,576,1676,2160,3812,1712,990,1547,2217,483,1199,2954,3533,2608,1786,1091,3869,2276,1718,3355)(325,2137,3506,1182,1105,3783,1333,3462,1235,3898,2120,3087,1300,3388,1034,2122,845,2113,3617,3525,3380,682,2278,3760,2730,3432,2961,930)(341,1082,3622,2704,3116,680,3024,675,1949,350,2783,1156,3104,347,1417,2098,1716,2042,956,2747,3939,3627,1101,2737,1694,3666,3873,3815)(343,2590,2134,369,890,3522,2001,2282,398,3292,1016,2507,364,3916,568,3514,2152,1185,850,1795,3332,2502,3807,1281,3600,4047,971,802)(371,1679,3554,1905,2002,2448,1292,2913,2452,2450,3320,940,1028,3053,3729,3843,2271,1626,1680,2280,3137,1797,3894,2578,1533,2824,480,2343)(387,1697,3466,1263,1419,954,3361,677,3736,625,3391,3790,2951,3142,1045,1540,3469,3677,1521,1814,2283,1038,3850,623,3806,1174,2418,2606)(429,2920,2725,3841,779,3014,2363,2327,4056,1704,2658,3769,1511,873,887,3060,2471,3781,1916,1270,776,667,3972,2006,1109,2308,1825,3983)(430,758,742,1588,1133,862,447,2869,2371,3476,4004,3870,506,1077,2179,1007,3539,584,809,1957,634,1179,3066,2390,3887,1115,2056,3383)(464,2337,3426,1711,2970,2862,3642,2215,3503,2910,934,1930,2200,1405,2999,3276,491,2731,3809,2806,784,1317,3168,3946,3107,2107,1891,2680)(475,3962,2309,476,2338,1673,984,2316,1544,2811,3508,2421,3479,2977,4027,2805,931,1961,3299,3050,2739,2529,3985,1373,1188,2932,1773,2346)(496,2512,1937,3859,2539,1302,1215,2054,1615,1306,1661,501,4088,3753)(560,2652,1250,3768,1959,1285,2348,2446,2872,2914,2189,3566,661,1404,3394,2171,1939,1864,3259,2097,1910,3010,1908,2269,1873,3919,2076,2229)(594,604,2918,3252,1169,2077,3555,801,3787,2391,3709,3594,3417,3058,2804,805,2285,1310,3370,1553,772,3264,4006,2011,2513,1216,2246,3358)(632,1092,3349,2695,3846,1528,3708,1320,3364,3973,2564,2928,3805,967,3419,2673,947,2143,1032,823,1449,1852,1896,4083,1893,3187,3082,979)(657,1751,668,2696,1162,2204,1453,913,1631,3138,2199,4009,2766,1277,1812,4046,1900,1535,3231,2797,2081,1918,1186,2136,3724,1108,1523,4075)(709,3362,3041,923,2305,781,1035)

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759,614,968,2904)(227,727,1946,1991,609,3279,3354,1907,3540,3430,1886,1578,3834,2853,1349,953,500,1996,2301,2650,690,3583,2096,535,2244,1559,2864,2127)(229,2475,3693,658,2950,3329,3360,826,3721,572,3363,2845,3719,259,2545,2009,2897,3761,2584,1098,3068,2440,3013,2144,1271,2813,960,939)(232,2091,932,765,1100,3949,1326,1966,3601,3204,702,3653,3799,2117,4007,1984,392,723,1457,4067,1485,3220,1505,2549,2293,1147,2690,2365)(234,1466,3286,3298,2067,3453,3733,3545,775,3312,2257,3741,1255,2884,4028,3661,409,3028,1247,2240,574,1981,3195,2644,2455,3536,1370,3397)(240,2776,1051,3849,1660,1345,436,3832,1947,663,3970,1774,646,4051,2881,1221,840,2800,760,631,1777,466,2095,1355,3912,351,3003,3650)(243,1950,1463,3230,2256,3445,1309,983,3224,1820,1124,992,1342,1040,1760,3322,3274,2015,1849,2430,3584,1560,558,3874,3646,715,672,4081)(244,2625,1745,2814,435,1931,521,1226,2523,2631,1334,3616,2428,1920,3467,1001,2178,995,1746,3183,3300,3291,3408,2233,3948,1073,1933,514)(248,767,505,2427,2044,1954,2109,2930,2878,3389,974,4049,2855,4001,1424,878,2655,1081,3067,276,3317,1748,3438,3649,3016,2785,1243,2434)(251,469,3756,3019,473,738,3304,590,1429,1604,3941,724,3497,2562,386,3201,1890,3590,2632,3464,3256,2933,3190,1143,1574,919,297,3218)(258,1757,2288,3852,3926,401,2759,3341,641,3301,3062,1099,927,2688,1031,2981,1861,1141,1036,3403,2818,2945,1570,2013,474,2232,1710,3031)(260,1050,1846,1167,2535,3635,2070,2146,3575,2231,1987,3840,1885,3516,1562,1155,390,1146,2629,1990,455,788,515,3862,3250,2055,1418,2487)(262,3160,1703,671,358,4080,739,1792,1267,1561,1004,2169,1443,2277,1621,1612,3307,2085,3465,1637,2728,352,2201,1823,2847,2922,1892,1128)(277,3560,2832,2115,2527,418,551,1592,3455,1372,3509,1043,1343,1456)(285,3427,2541,1262,2165,2563,2078,3569,750,785,1590,2710,1346,1144,1851,3548,2016,1531,2351,3205,876,518,1296,2442,3876,855,2460,3603)(288,2320,2646,1442,1304,3281,1915,3038,1259,1706,444,733,2289,1084,2397,1656,2422,1627,3278,1514,856,328,2356,1768,1138,567,3593,3774)(289,3120,3490,306,3240,3640,3492,353,676,1430,1042,1227,4025,2080,2721,1330,1708,3900,2668,3793,3758,4030,3866,2784,2572,2795,2839,2941)(292,3699,2576,472,379,2792,3333,1474,2586,1376,3297,3076,2605,1083,3460,3084,1738,1056,368,485,2637,3562,3404,3883,431,592,895,1401)(293,479,3960,2496,4068,3293,2777,3857,2616,2712,2609,920,3012,3662,3049,3020,1709,1705,2890,935,3604,1480,701,1287,2479,993,1951,3212)(313,3134,1765,3234,3502,2520,3203,2622,2216,1142,4003,2018,3836,814,773,1187,3070,1381,1756,314,2554,2441,759,3328,2181,1898,552,981)(318,2954,1676,749,3533,2160,3559,2608,3812,616,1786,1712,2140,1091,990,2518,3869,1547,2770,2276,2217,1804,1718,483,2410,3355,1199,576)(325,3525,2120,2137,3380,3087,3506,682,1300,1182,2278,3388,1105,3760,1034,3783,2730,2122,1333,3432,845,3462,2961,2113,1235,930,3617,3898)(341,2747,2783,1082,3939,1156,3622,3627,3104,2704,1101,347,3116,2737,1417,680,1694,2098,3024,3666,1716,675,3873,2042,1949,3815,956,350)(343,1795,1016,2590,3332,2507,2134,2502,364,369,3807,3916,890,1281,568,3522,3600,3514,2001,4047,2152,2282,971,1185,398,802,850,3292)(371,2280,3320,1679,3137,940,3554,1797,1028,1905,3894,3053,2002,2578,3729,2448,1533,3843,1292,2824,2271,2913,480,1626,2452,2343,1680,2450)(387,1814,3391,1697,2283,3790,3466,1038,2951,1263,3850,3142,1419,623,1045,954,3806,1540,3361,1174,3469,677,2418,3677,3736,2606,1521,625)(429,1270,2658,2920,776,3769,2725,667,1511,3841,3972,873,779,2006,887,3014,1109,3060,2363,2308,2471,2327,1825,3781,4056,3983,1916,1704)(430,1957,4004,758,634,3870,742,1179,506,1588,3066,1077,1133,2390,2179,862,3887,1007,447,1115,3539,2869,2056,584,2371,3383,809,3476)(464,2806,934,2337,784,1930,3426,1317,2200,1711,3168,1405,2970,3946,2999,2862,3107,3276,3642,2107,491,2215,1891,2731,3503,2680,3809,2910)(475,3050,3508,3962,2739,2421,2309,2529,3479,476,3985,2977,2338,1373,4027,1673,1188,2805,984,2932,931,2316,1773,1961,1544,2346,3299,2811)(496,1302,1661,2512,1215,501,1937,2054,4088,3859,1615,3753,2539,1306)(560,2097,2189,2652,1910,3566,1250,3010,661,3768,1908,1404,1959,2269,3394,1285,1873,2171,2348,3919,1939,2446,2076,1864,2872,2229,3259,2914)(594,1553,3709,604,772,3594,2918,3264,3417,3252,4006,3058,1169,2011,2804,2077,2513,805,3555,1216,2285,801,2246,1310,3787,3358,3370,2391)(632,823,2564,1092,1449,2928,3349,1852,3805,2695,1896,967,3846,4083,3419,1528,1893,2673,3708,3187,947,1320,3082,2143,3364,979,1032,3973)(657,2797,2199,1751,2081,4009,668,1918,2766,2696,1186,1277,1162,2136,1812,2204,3724,4046,1453,1108,1900,913,1523,1535,1631,4075,3231,3138)(709,781,923,3362,1035,2305,3041)

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The automorphism group has order
114688