# Stored data for newform 1520.4.a.m, downloaded from the LMFDB on 01 October 2025. {"Nk2": 24320, "analytic_conductor": 89.68290320872573, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, 1], [19, -1]], "atkin_lehner_string": "++-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 177, "field_disc_factorization": [[3, 1], [59, 1]], "field_poly": [-44, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-38, -5, 1]], [7, [-326, 17, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195595556336, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1520.4.a.m", "level": 1520, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 19], "level_radical": 190, "minimal_twist": "760.4.a.b", "nf_label": "2.2.177.1", "prim_orbit_index": 1, "qexp_display": "q+(3-\\beta )q^{3}-5q^{5}+(-7-3\\beta )q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1520.4.a", "trace_display": [0, 5, -10, -17], "trace_hash": 1436519276109904323, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.930", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.583", "prec": 17}, {"__RealLiteral__": 0, "data": "0.554", "prec": 17}, {"__RealLiteral__": 0, "data": "67.068", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 2, 0, 5, 0, -10, 0, -17, 0, 47, 0, -4, 0, -147, 0, -25, 0, 15, 0, 38, 0, 223, 0, 23, 0, 50, 0, 425, 0, 159, 0, -218, 0, -364, 0, 85, 0, 368, 0, -279, 0, -304, 0, 96, 0, -235, 0, -582, 0, 255, 0, -1113, 0, -127, 0, 20, 0, 95, 0, 617, 0, -1690, 0, 928, 0, 735, 0, 25, 0, -2509, 0, -1580, 0, 221, 0, 125, 0, -1028, 0, 2050, 0, 590, 0, 1800, 0, -75, 0, 2787, 0, -996, 0, 1515, 0, -3554, 0, -190, 0, 1656, 0, -1864, 0, -66, 0, -1110, 0, -1115, 0, -1077, 0, -151, 0, 566, 0, 2650, 0, -115, 0, -3012, 0, -3579, 0, -1238, 0, -406, 0, -250, 0, 2760, 0, -2238, 0, 4024, 0, -323, 0, -2125, 0, -1445, 0, -2564, 0, 492, 0, -60, 0, -795, 0, -3876, 0, -4698, 0, -4914, 0, -5400, 0, 1090, 0, 1224, 0, -2707, 0, -7895, 0, 2136, 0, 1820, 0, 1716, 0, 6499, 0, 893, 0, -4180, 0, -425, 0, -1909, 0, 540, 0, -3872, 0, -4048, 0, -1840, 0, 4572, 0, -1223, 0, 5379, 0, 2324, 0, 1395, 0, 6156, 0, 455, 0, 6877, 0, 5817, 0, 1520, 0, -12292, 0, -76, 0, -575, 0, -2888, 0, -480, 0, -7174, 0, -5023, 0, -2253, 0, 4400, 0, 1175, 0, -9687, 0, -3624, 0, -92, 0, -5932, 0, 2910, 0, 5302, 0, 4251, 0, 11162, 0, -1150, 0, -1275, 0, -2793, 0, 11226, 0, -2388, 0, 10220, 0, 5565, 0, -2496, 0, -4190, 0, 15684, 0, 2886, 0, 635, 0, 9546, 0, 3828, 0, -8089, 0, -16479, 0, -100, 0, -7238, 0, -20168, 0, 252, 0, -7576, 0, -475, 0, 3646, 0, 5243, 0, 5910, 0, -1981, 0, -3085, 0, -4036, 0, -4257, 0, -8250, 0, 18420, 0, 8450, 0, -8314, 0, -2952, 0, 5107, 0, 3401, 0, -4640, 0, -12953, 0, -9876, 0, -19773, 0, 285, 0, -3675, 0, -14803, 0, 10788, 0, -7669, 0, 6878, 0, -125, 0, -7016, 0, -2756, 0, 12472, 0, -9877, 0, 12545, 0, -5272, 0, -9332, 0, -30441, 0, 9585, 0, 7900, 0, 2823, 0, -6019, 0, 722, 0, -1679, 0, -1105, 0, -11406, 0, -5374, 0, -6089, 0, -5313, 0, -625, 0, -9297, 0, -13559, 0, -4074, 0, 11338, 0, 5140, 0, -10134, 0, -11034, 0, 33537, 0, 17848, 0, -10250, 0, -7174, 0, 4237, 0, 5540, 0, 13014, 0, -2950, 0, 680, 0, 16748, 0, 14707, 0, -15599, 0, -9000, 0, -3224, 0, 6494, 0, -6449, 0, -3942, 0, 375, 0, 14896, 0, 25692, 0, 9952, 0, 3602, 0, -13935, 0, 437, 0, 3270, 0, -16575, 0, 21954, 0, 4980, 0, -7320, 0, 9696, 0, -808, 0, -10338, 0, -7575, 0, 12733, 0, -7167, 0, -3768, 0, 1654, 0, 17770, 0, -13534, 0, 20231, 0, -10746, 0, 9720, 0, 950, 0, -14932, 0, 8040, 0, -27402, 0, 5131, 0, -8280, 0, 12680, 0, 4986, 0, -9714, 0, -29871, 0, 9320, 0, 16616, 0, 11850, 0, -16950, 0, -6021, 0, 330, 0, 3238, 0, 10840, 0, -18605, 0, 8075, 0, 5550, 0, -6624, 0, -15406, 0, -870, 0, -14309, 0, 5575, 0, 37482, 0, 50359, 0, -2758, 0, 22698, 0, 5385, 0, 37104, 0, 17544, 0, -922, 0, -23486, 0, 755, 0, 6494, 0, -38830, 0, 3021, 0, -16894, 0, -2830, 0, 10942, 0, -9534, 0, 11076, 0, 17346, 0, -13250, 0, 21535, 0, -25922, 0, 1354, 0, 29289, 0, 575, 0, -18213, 0, -8350, 0, 4878, 0, 9812, 0, 15060, 0, -22448, 0, -4142, 0, 34506, 0, -20688, 0, 17895, 0, -6031, 0, -19790, 0, 2328, 0, 34660, 0, 6190, 0, 2940, 0, 15339, 0, 44724, 0, -4714, 0, 2030, 0, 21096, 0, -4492, 0, -18211, 0, 44574, 0, 1250, 0, -6916, 0, 7362, 0, -7636, 0, -17633, 0, -13800, 0, -23256, 0, -31820, 0, -42442, 0, 7564, 0, 11190, 0, 46743, 0, 12572, 0, -21298, 0, -20270, 0, -20120, 0, -22684, 0, 4967, 0, -14411, 0, 79593, 0, 1615, 0, -67467, 0, 51002, 0, 2672, 0, -14834, 0, 10625, 0, 34663, 0, -8766, 0, -20235, 0, 25562, 0, 7225, 0, -33486, 0, 6945, 0, -18774, 0, -11768, 0, 12820, 0, -6882, 0, -3502, 0, -1790, 0, 6992, 0, -2460, 0, 56316, 0, 12656, 0, 49060, 0, 84754, 0, 300, 0, -20259, 0, 24443, 0, 8904, 0, 31976, 0, 3975, 0, -17981, 0, 7922, 0, 32934, 0, -3474, 0, 19380, 0, -27308, 0, 39406, 0, -5301, 0, 70512, 0, 23490, 0, 75930, 0, -42087, 0, 21062, 0, -36060, 0, 24570, 0, -30956, 0, 26612, 0, -8547, 0, -41993, 0, 27000, 0, -48801, 0, 23731, 0, 37302, 0, -25989, 0, -5450, 0, 41386, 0, -5776, 0, -1088, 0, 55293, 0, -6120, 0, 54901, 0, 74652, 0, -50668, 0, 124392, 0, 13535, 0, -31499, 0, -29676, 0, 36774, 0, 21860, 0, 39475, 0, 23730, 0, -74325, 0, -5737, 0, -9691, 0, -10680, 0, 1824, 0, -65730, 0, -55666, 0, -12967, 0, -9100, 0, 29217, 0, -78519, 0, -14732, 0, 60588, 0, -8580, 0, -73406, 0, -17220, 0, 28379, 0, -94242, 0, -32495, 0, 14771, 0, 26018, 0, 14498, 0, 13364, 0, -4465, 0, -29270, 0, -18520, 0, -34250, 0, -5530, 0, 20900, 0, -4150, 0, -4808, 0, 4977, 0, 47766, 0, 2125, 0, -14929, 0, -103453, 0, -36296, 0, 43504, 0, 9545, 0, 9366, 0, -56382, 0, -36580, 0, -11058, 0, -2700, 0, 179013, 0, -98574, 0, 30111, 0, 13182, 0, 19360, 0, -7849, 0, 91374, 0, -18896, 0, -30504, 0, 20240, 0, -10840, 0, 93013, 0, -784, 0, 117192, 0, 9200, 0, -26970, 0, -11757, 0, 4845, 0, 45601, 0, -22860, 0, -37303, 0, 59213, 0, 7831, 0, -13762, 0, 6115, 0, -21590, 0, -21819, 0, -80969, 0, 834, 0, -26895, 0, -57612, 0, 67241, 0, 66486, 0, -110712, 0, -11620, 0, 19094, 0, -21147, 0, -95956, 0, 31352, 0, -6975, 0, 9100, 0, -46152, 0, -75676, 0, -35368, 0, -30780, 0, -66840, 0, 72966, 0, -99026, 0, 30653, 0, -2275, 0, 82240, 0, 75014, 0, 78036, 0, 49497, 0, -34385, 0, -2413, 0, 50886, 0, 9718, 0, -115260, 0, -29085, 0, 15370, 0, 40575, 0, -7809, 0, 75784, 0, -7600, 0, -150498, 0, -43543, 0, 93724, 0, 34207, 0, 61460, 0, -14976, 0, -55130, 0, 2750, 0, 53208, 0, 380, 0, 23398, 0, -17672, 0, 59650, 0, -34515, 0, 2875, 0, 47610, 0, -39315, 0, -44076, 0, 27972, 0, 14440, 0, -10392, 0, -41708, 0, -25254, 0, 19698, 0, 2400, 0, -95317, 0, -125574, 0, -63156, 0, 1805, 0, 35870, 0, -51355, 0, -22013, 0, -40725, 0, -45544, 0, 25115, 0, 4718, 0, -51822, 0, 9540, 0, 27623, 0, 11265, 0, -61414, 0, 43484, 0, -74208, 0, -11771, 0, -22000, 0, 43235, 0, 22383, 0, 11723, 0, -40014, 0, -5875, 0, 133824, 0, 14650, 0, -191835, 0, 2928, 0, 48435, 0, -89741, 0, -88401, 0, -19218, 0, 9990, 0, 18120, 0, -28076, 0, 86224, 0, 27603, 0, -29674, 0, 460, 0, 85242, 0, -32110, 0, -1902, 0, -1762, 0, 29660, 0, -113784, 0, -78306, 0, -51652, 0, 51363, 0, -14550, 0, 70476, 0, 133504, 0, -27923, 0, -94270, 0, -26510, 0, -37266, 0, -14610, 0, -149092, 0, 12340, 0, -21255, 0, 17632, 0, 58004, 0, 1295, 0, 50666, 0, -55810, 0, -25656, 0, 244050, 0, 20662, 0, 798, 0, 5750, 0, 351, 0, 67835, 0, -62728, 0, 51357, 0, 6375, 0, -2026, 0, -3624, 0, -19024, 0, 57640, 0, 13965, 0, -90935, 0, 72247, 0, 74139, 0, 32224, 0, -56130, 0, -59274, 0, -110840, 0, -44324, 0, 102672, 0, 11940, 0, 62078, 0, 77342, 0, -119946, 0, 32287, 0, -51100, 0, -8506, 0, -106152, 0, 21100, 0, 475, 0, -27825, 0, -23466, 0, -95069, 0, -188612, 0, -90963, 0, 12480, 0, 127800, 0, -68381, 0, -759, 0, 117628, 0, 20950, 0, 43461, 0, 105116, 0, -86630, 0, 67142, 0, -78420, 0, 61559, 0, -39924, 0, -47671, 0, 23436, 0, -14430, 0, -181038, 0, 93602, 0, 4302, 0, 13566, 0, -3175, 0, -60545, 0, 76656, 0, 2136, 0, 73788, 0, -47730, 0, 1803, 0, 81408, 0, -88278, 0, 13074, 0, -19140, 0, -56118, 0, -30020, 0, -62234, 0, 51080, 0, 40445, 0, 107189, 0, -105744, 0, 49636, 0, 6300, 0, 82395, 0, -97852, 0, -32178, 0, 13513, 0, 112752, 0, 500, 0, -110625, 0, 5022, 0, -7708, 0, 100674, 0, 36190, 0, 4199, 0, -6308, 0, 62079, 0, -25373, 0, 100840, 0, 38376, 0, -31922, 0, 76436, 0, -24568, 0, -1260, 0, -4027, 0, -2, 0, -73938, 0, -40266, 0, 37880, 0, -3327, 0, 12264, 0, -101592, 0, -53245, 0, 2375, 0, -86981, 0, 47128, 0, -48493, 0, 43288, 0, -18230, 0, 39216, 0, -17468, 0, -39200, 0, -26202, 0, -26215, 0, -11834, 0, -61190, 0, 26778, 0, -16174, 0, -29550, 0, -2760, 0, -3571, 0, 98606, 0, -19532, 0, 9905, 0, 48426, 0, -204156, 0, 118048, 0, 159618, 0, 15425, 0, -43699, 0, -148221, 0, -111792, 0, -117836, 0, 20180, 0, 102385, 0, -120648, 0, -177232, 0, -24328, 0, 21285, 0, -7014, 0, 20634, 0, 38950, 0, -65874, 0, 41250, 0, -70388, 0, -250905, 0, -110150, 0, -163938, 0, -92100, 0, -57352, 0, 125664, 0, 87679, 0, -58158, 0, -42250, 0, 199498, 0, -7616, 0, -176416, 0, 30217, 0, 41570, 0, -74613, 0, 11210, 0, -197333, 0, 20581, 0, 14760, 0, 274827, 0, -2545, 0, 82560, 0, 49692, 0, -25535, 0, -123010, 0, -116712, 0, 82606, 0, 93228, 0, -17005, 0, -159174, 0, 38479, 0, 59336, 0, 92409, 0, 23200, 0, 34200, 0, 54452, 0, 196542, 0, 1351, 0, 64765, 0, 66868, 0, 94287, 0, 27576, 0, 100049, 0, 49380, 0, -82610, 0, 17274, 0, -118679, 0, -42474, 0, 98865, 0, 100943, 0, -115946, 0, 191460, 0, -120752, 0, -1425, 0, 7752, 0, 18900, 0, -101252, 0, -143020, 0, 18375, 0, 67870, 0, -160022, 0, 84406, 0, -48968, 0, 74015, 0, 13076, 0, -8304, 0, -56512, 0, 95086, 0, -53940, 0, -357532, 0, -10590, 0, -213834, 0, 52953, 0, 38345, 0, -170732, 0, 228398, 0, 2040, 0, -9080, 0, -34390, 0, -19266, 0, 27612, 0, 108952, 0, -128793, 0, 625, 0, 162546, 0, 164231, 0, -90218, 0, 105672, 0, 35080, 0, -82664, 0, -58056, 0, -18924, 0, -92327, 0, 13780, 0, -12480, 0, -92383, 0, 89956, 0, -287976, 0, -62360, 0, 1924, 0, 197469, 0, -44139, 0, 69406, 0, 49385, 0, -242100, 0, 205614, 0, 110157, 0, -165497, 0, -62725, 0, 52776, 0, 28785, 0, 84651, 0, -184970, 0, 26360, 0, -16186, 0, -114876, 0, 136819, 0, 193974, 0, 46660, 0, 94079, 0, 51788, 0, -6024, 0, -7959, 0, 152205, 0, -69972, 0, 67165, 0, -29570, 0, -24504, 0, -47925, 0, -67526, 0, -129576, 0, -83684, 0, 240246, 0, -39500, 0, 13302, 0, 110766, 0, 124527, 0, 18881, 0, -14115, 0, -84178, 0, 109039, 0, -25150, 0, -2856, 0, 30095, 0, -71954, 0, 151842, 0, -55434, 0, -109230, 0, -3610, 0, 191640, 0, 66643, 0, -36992, 0, 64974, 0, 8395, 0, 18442, 0, 213969, 0, 166650, 0, 129976, 0, 5525, 0, 140682, 0, 50098, 0, -65685, 0, -57048, 0, 57030, 0, 81528, 0, -197104, 0, 177780, 0, 31464, 0, 26870, 0, -51981, 0, -85022, 0, 79998, 0, 186399, 0, 30445, 0, 122936, 0, 39040, 0, 107291, 0, -249865, 0, 26565, 0, -20486, 0, -123090, 0, 13552, 0, 14845, 0, 3125, 0, 129240, 0, -97795, 0, -35416, 0, 9942, 0, 46485, 0, -195942, 0, -79904, 0, 178192, 0, 213488, 0, 67795, 0, 100351, 0, -94490, 0, -159966, 0, 28184, 0, 20370, 0, -48814, 0, -174354, 0, 284886, 0, -116190, 0, -56690, 0, -326192, 0, -1254, 0, 141828, 0, -147700, 0, -25700, 0, 96252, 0, -233138, 0, 5596, 0, 39772, 0, 50670, 0, 349728, 0, 71612, 0, 17295, 0, 185979, 0, 55170, 0, -70876, 0, -165916, 0, -118734, 0, -185404, 0, -167685, 0, -21090, 0, 68092, 0, -13810, 0, 363126, 0, -89240, 0, -286758, 0, -144096, 0, -3217, 0, 38220, 0, 51250, 0, 382613, 0, 164739, 0, 199270, 0, -39479, 0, 35870, 0, 153110, 0, 373182, 0, 62968, 0, 251396, 0, -21185, 0, 70123, 0, -66909, 0, -345225, 0, -43899, 0, -27700, 0, 303410, 0, -56814, 0, -9450, 0, 305456, 0, -65070, 0, 138064, 0, -224528, 0, -82452, 0, -96338, 0, 14750, 0, -55279, 0, -228691, 0, -31313, 0, -20463, 0, -3400, 0, 182874, 0, 49040, 0, -103770, 0, -207732, 0, -83740, 0, -360498, 0, -181240, 0, -278663, 0, 58122, 0, -73535, 0, -27693, 0, -96936, 0, -207294, 0, -136050, 0, 77995, 0, 187371, 0, 106198, 0, -2869, 0, -261282, 0, 45000, 0, -234418, 0, -196148, 0, 65502, 0, 43570, 0, 16120, 0, -141610, 0, -13928, 0, 160326, 0, 605151, 0, -32470, 0, -82762, 0, 66250, 0, -74124, 0, -21644, 0, 32245, 0, 138618, 0, 10754, 0, 12000, 0, -119437, 0, 19710, 0, -132969, 0, -157350, 0, -25944, 0, 51992, 0, -1875, 0, 216074, 0, -13644, 0, 44107, 0, 437218, 0, -74480, 0, -72565, 0, 457030, 0, 85023, 0, -71062, 0, -128460, 0, 50350, 0, 130672, 0, -54534, 0, -66069, 0, -49760, 0, -17923, 0, 163362, 0, -45930, 0, -123588, 0, -18010, 0, -88776, 0, 282662, 0, -147366, 0, 9746, 0, 69675, 0, 55091, 0, -119319, 0, 104347, 0, 127334, 0, -2185, 0, -172165, 0, 27764, 0, 123223, 0, 8526, 0, -16350, 0, -167727, 0, -3552, 0, 136112, 0, 97299, 0, 82875, 0, 84384, 0, 4550, 0, -86324, 0, -55452, 0, -109770, 0, 182590, 0, -35659, 0, -18570, 0, -57228, 0, -24900, 0, -71064, 0, 153978, 0, -32286, 0, -14820, 0, 36600, 0, 183663, 0, -87653, 0, 443034, 0, 71188, 0, -48480, 0, -103005, 0, 302274, 0, 19910, 0, -208066, 0, 4040, 0, -311668, 0, -206568, 0, -68001, 0, 165478, 0, 51690, 0, -242368, 0, 101293, 0, 232714, 0, 55446, 0, 37875, 0, 245480, 0, 60810, 0, -335451, 0, 5625, 0, -63665, 0, 316661, 0, -2411, 0, 167754, 0, -249529, 0, 35835, 0, -37953, 0, -23522, 0, 158985, 0, -173502, 0, 18840, 0, -311045, 0, 70179, 0, -274002, 0, 159054, 0, -8270, 0, 214663, 0, -113205, 0, 65932, 0, -539724, 0, -88850, 0, -3936, 0, -248991, 0, 160840, 0, 276441, 0, 67670, 0, -7714, 0, 111284, 0, 214664, 0, 274816, 0, -101155, 0, -235373, 0, 285855, 0, 281060, 0, 270786, 0, 53730, 0, 128610, 0, 141410, 0, 235753, 0, -60648, 0, -48600, 0, 405006, 0, -7632, 0, -51700, 0, 304856, 0, -4750, 0, 25206, 0, 223188, 0, -20810, 0, 200734, 0, 74660, 0, 27800, 0, -60812, 0, -22727, 0, -178430, 0, -40200, 0, 275208, 0, -18641, 0, -60062, 0, -103326, 0, 137010, 0, 324702, 0, 26684, 0, 191908, 0, 52440, 0, -25655, 0, -8497, 0, -107590, 0, 160758, 0, 23620, 0, 41400, 0, -178821, 0, 92602, 0, -336396, 0, -205591, 0, -63400, 0, -172444, 0, -137434, 0, -97092, 0, 219506, 0, -24930, 0, 113882, 0, -229468, 0, -42522, 0, -168808, 0, 48570, 0, 139539, 0, 163681, 0, 482949, 0, -9424, 0, 149355, 0, 24874, 0, 351761, 0, -271305, 0, 16212, 0, -46600, 0, 60352, 0, -22658, 0, 4101, 0, -379515, 0, -83080, 0, -230547, 0, 76456, 0, -15612, 0, -153278, 0, -59250, 0, 3444, 0, -29070, 0, 257588, 0, 235962, 0, 84750, 0, 416603, 0, -184974, 0, -365210, 0, -189647, 0, 30105, 0, -49068, 0, 104952, 0, 276480, 0, 450878, 0, -1650, 0, -6137, 0, -468438, 0, 277410, 0, -92760, 0, -16190, 0, 126258, 0, -203861, 0, -139453, 0, -39749, 0, -54200, 0, 46754, 0, -62305, 0, -45220, 0, -440062, 0, 93025, 0, -173914, 0, 390242, 0, -433350, 0, -33448, 0, -40375, 0, -62166, 0, 211116, 0, -218492, 0, -424884, 0, -27750, 0, 105212, 0, 163515, 0, 245790, 0, -131144, 0, 33120, 0, -40611, 0, 32372, 0, 39372, 0, 11348, 0, 77030, 0, 105672, 0, 302524, 0, 36923, 0, -27455, 0, 4350, 0, -375224, 0, 36919, 0, 152157, 0, -487317, 0, 71545, 0, -2048, 0, 367830, 0, 48336, 0, -86076, 0, -27875, 0, -294968, 0, 115044, 0, 464207, 0, 191280, 0, -187410, 0, -539056, 0, -426753, 0, -48716, 0, 56170, 0, -251795, 0, -10975, 0, -159926, 0, -38608, 0, -52279, 0, 13790, 0, 216036, 0, -135507, 0, 97224, 0, 348364, 0, -113490, 0, 318714, 0, 188658, 0, -2175, 0, -104608, 0, -26925, 0, -352172, 0, 9348, 0, 77264, 0, 159572, 0, -185520, 0, -49986, 0, 149576, 0, 848238, 0, -27453, 0, -87720, 0, -746106, 0, -124226, 0, 62966, 0, 130413, 0, 4610, 0, 451902, 0, -24840, 0, -97738, 0, -68784, 0, 117430, 0, -1140, 0, 57750, 0, -218305, 0, -164808, 0, -3775, 0, 153240, 0, 504150, 0, -242828, 0, 272068, 0, -32470, 0, -382503, 0, -408312, 0, 18856, 0, 26067, 0, 194150, 0, 23458, 0, -202144, 0, 440888, 0, -146720, 0, -15105, 0, 229435, 0, -300660, 0, 125136, 0, -95374, 0, 84470, 0, -88712, 0, 145008, 0, 20622, 0, -255480, 0, 14150, 0, -214536, 0, -332492, 0, -237468, 0, -55301, 0, -54710, 0, -559065, 0, 22404, 0, 114455, 0, -73644, 0, 47670, 0, 165662, 0, 284182, 0, 137706, 0, -227273, 0, -55380, 0, 63358, 0, -225173, 0, -280435, 0, 179442, 0, -86730, 0, 333476, 0, 27866, 0, 523926, 0, -150077, 0, 66250, 0, -169176, 0, 359774, 0, -89262, 0, 101848, 0, -107675, 0, 64644, 0, 288990, 0, -59108, 0, 53409, 0, 129610, 0, 365031, 0, -199064, 0, -379008, 0, -547328, 0, -6770, 0, -59115, 0, -119868, 0, -131684, 0, -274046, 0, -146445, 0, 495684, 0, -93366, 0, -396696, 0, 217866, 0, -2875, 0, -179437, 0, 16112, 0, -189606, 0, 822177, 0, 91065, 0, 254232, 0, -382587, 0, 254694, 0, -275520, 0, 41750, 0, 141219, 0, -283398, 0, 117296, 0, 226334, 0, -24390, 0, -102600, 0, -13344, 0, 244408, 0, -316708, 0, -49060, 0, -465765, 0, -289072, 0, 349986, 0, 376492, 0, -75300, 0, -57831, 0, 496548, 0, 337810, 0, 82330, 0, 112240, 0, 36840, 0, -214641, 0, 33078, 0, -161917, 0, 20710, 0, 200045, 0, -312502, 0, 715977, 0, -475138, 0, -172530, 0, 265967, 0, -64296, 0, -215532, 0, -483075, 0, 103440, 0, 30726, 0, 65341, 0, -96328, 0, -142250, 0, -89475, 0, 241938, 0, 68906, 0, -25948, 0, 23256, 0, 30155, 0, -93024, 0, -224502, 0, 406318, 0, -55894, 0, 98950, 0, 73160, 0, -99601, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [0, 0], [3, -1], [0, 0], [-5, 0], [0, 0], [-7, -3], [0, 0], [26, -5], [0, 0], [-4, 4], [0, 0], [-73, -1], [0, 0], [-15, 5], [0, 0], [1, 13], [0, 0], [19, 0], [0, 0], [111, 1], [0, 0], [-3, 29], [0, 0], [25, 0], [0, 0], [217, -9], [0, 0], [93, -27], [0, 0], [-126, 34], [0, 0], [-188, 12], [0, 0], [35, 15], [0, 0], [182, 4], [0, 0], [-175, 71], [0, 0], [-150, -4], [0, 0], [34, 28], [0, 0], [-130, 25], [0, 0], [-280, -22], [0, 0], [102, 51], [0, 0], [-569, 25], [0, 0], [-77, 27], [0, 0], [20, -20], [0, 0], [57, -19], [0, 0], [289, 39], [0, 0], [-844, -2], [0, 0], [478, -28], [0, 0], [365, 5], [0, 0], [51, -77], [0, 0], [-1285, 61], [0, 0], [-784, -12], [0, 0], [79, 63], [0, 0], [75, -25], [0, 0], [-500, -28], [0, 0], [1026, -2], [0, 0], [345, -100], [0, 0], [938, -76], [0, 0], [-5, -65], [0, 0], [1467, -147], [0, 0], [-430, -136], [0, 0], [643, 229], [0, 0], [-1874, 194], [0, 0], [-95, 0], [0, 0], [838, -20], [0, 0], [-984, 104], [0, 0]]}