# Stored data for newform 1360.4.a.p, downloaded from the LMFDB on 23 September 2026.
{"Nk2": 21760, "analytic_conductor": 80.24259760780724, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [17, 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": [1360, 1, [511, 341, 817, 241], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 568, "field_disc_factorization": [[2, 3], [71, 1]], "field_poly": [-2, -6, -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, [-254, -30, 9, 1]], [7, [-44, 50, 34, 1]], [11, [-6784, 262, 52, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994477667664, "hecke_ring_generator_nbound": 7, "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": "1360.4.a.p", "level": 1360, "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, 17], "level_radical": 170, "minimal_twist": "85.4.a.f", "nf_label": "3.3.568.1", "prim_orbit_index": 1, "qexp_display": "q+(-4+3\\beta _{1})q^{3}-5q^{5}+(-14+3\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1360.4.a", "trace_display": [0, -9, -15, -34], "trace_hash": 1235180287787569430, "trace_moments": [0, {"__RealLiteral__": 0, "data": "2.897", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "22.720", "prec": 17}, 0, {"__RealLiteral__": 0, "data": "260.466", "prec": 20}], "trace_zratio": 0, "traces": [0, 3, 0, -9, 0, -15, 0, -34, 0, 60, 0, -52, 0, 19, 0, 45, 0, -51, 0, 153, 0, 286, 0, -162, 0, 75, 0, -291, 0, 45, 0, 67, 0, 244, 0, 170, 0, -308, 0, 773, 0, 498, 0, 246, 0, -300, 0, -101, 0, 27, 0, 153, 0, 893, 0, 260, 0, -753, 0, -355, 0, 1019, 0, -1924, 0, -95, 0, -334, 0, -1026, 0, -313, 0, 639, 0, -225, 0, 1404, 0, 92, 0, -297, 0, -2736, 0, 255, 0, -441, 0, 1623, 0, 1498, 0, -19, 0, -765, 0, -475, 0, -2524, 0, -962, 0, 2676, 0, -1430, 0, -2564, 0, -1981, 0, 2432, 0, 821, 0, 810, 0, -2870, 0, 578, 0, -1813, 0, -798, 0, -375, 0, 2149, 0, -1530, 0, -3106, 0, -3778, 0, 1455, 0, -5218, 0, -1468, 0, -6703, 0, 984, 0, -225, 0, -6645, 0, -2104, 0, 4854, 0, -1020, 0, -335, 0, 1106, 0, -2969, 0, -1576, 0, -3808, 0, -1220, 0, -6342, 0, -54, 0, 6798, 0, -378, 0, -850, 0, 451, 0, -4412, 0, -3446, 0, -815, 0, 1540, 0, 884, 0, 10078, 0, -116, 0, -5322, 0, -3865, 0, 4692, 0, -2755, 0, 1642, 0, 3854, 0, -2490, 0, 3204, 0, -5704, 0, 3490, 0, -13271, 0, -1230, 0, -914, 0, -1611, 0, -323, 0, -7775, 0, 1500, 0, -2819, 0, 7290, 0, -12408, 0, -675, 0, 505, 0, -9308, 0, 10042, 0, -8494, 0, -3696, 0, -135, 0, -2741, 0, 9060, 0, 1068, 0, -108, 0, -765, 0, 7422, 0, 3832, 0, -6894, 0, -4425, 0, -4465, 0, -11391, 0, 1647, 0, 1456, 0, -15922, 0, -1300, 0, 2746, 0, 1582, 0, 3087, 0, -10595, 0, 3765, 0, 412, 0, 867, 0, -4961, 0, -6307, 0, 1775, 0, 16288, 0, -13006, 0, -11540, 0, -15358, 0, -5095, 0, -15200, 0, -72, 0, 3756, 0, 3874, 0, 9620, 0, 3996, 0, 7728, 0, 22952, 0, -2601, 0, 475, 0, -1607, 0, -4558, 0, 1959, 0, -7076, 0, 1670, 0, 11359, 0, -3833, 0, -1828, 0, -10748, 0, 5130, 0, 6503, 0, 536, 0, 7487, 0, 4134, 0, 1565, 0, -4862, 0, 15994, 0, -5424, 0, -2789, 0, -3195, 0, -3162, 0, -1080, 0, -13354, 0, -5302, 0, 1125, 0, 2915, 0, -1764, 0, -25873, 0, -23599, 0, -7020, 0, 20832, 0, 2972, 0, 2754, 0, 514, 0, -460, 0, 4488, 0, 33514, 0, 568, 0, 1301, 0, 1485, 0, 2736, 0, 9969, 0, 10954, 0, 11926, 0, 13680, 0, -2636, 0, 1558, 0, -15756, 0, 9646, 0, -1275, 0, -9350, 0, -26208, 0, -1836, 0, 18038, 0, 2205, 0, -282, 0, 12940, 0, 41640, 0, -14696, 0, -8115, 0, 24652, 0, 1252, 0, 784, 0, 9162, 0, -7490, 0, 25170, 0, 4947, 0, 13850, 0, 26171, 0, 95, 0, 6436, 0, 9452, 0, 27418, 0, -18328, 0, 3825, 0, 23738, 0, 7997, 0, 6936, 0, 19420, 0, 2375, 0, 20182, 0, 30772, 0, -27425, 0, -765, 0, 12620, 0, -19986, 0, -2526, 0, 12210, 0, -1348, 0, 4810, 0, 17292, 0, 31928, 0, 16794, 0, -41427, 0, -13380, 0, 6432, 0, -19314, 0, -26696, 0, -27958, 0, 7150, 0, -1139, 0, -5173, 0, -21202, 0, 13154, 0, 12820, 0, -4444, 0, -26252, 0, -21962, 0, 58826, 0, 9905, 0, 35623, 0, 15974, 0, -17319, 0, -37668, 0, -12160, 0, -37661, 0, -11682, 0, -4148, 0, 28578, 0, -4105, 0, -36898, 0, 28047, 0, 13582, 0, 24092, 0, -4050, 0, 27444, 0, -7146, 0, 30440, 0, -20680, 0, 14350, 0, 686, 0, 4831, 0, 24624, 0, -24646, 0, -2890, 0, -19589, 0, 47730, 0, 9060, 0, -17008, 0, 9065, 0, 17118, 0, -33134, 0, -46043, 0, 19023, 0, 3990, 0, 20517, 0, 25810, 0, -5994, 0, -20326, 0, 1875, 0, 39520, 0, 5236, 0, 29312, 0, -97186, 0, -10745, 0, -59129, 0, 38942, 0, 2998, 0, -44468, 0, 7650, 0, -2935, 0, 21688, 0, 7166, 0, -33798, 0, 15530, 0, -30546, 0, -6681, 0, 45976, 0, -13141, 0, 18890, 0, -11002, 0, 79451, 0, -18488, 0, -21141, 0, -7275, 0, 18390, 0, 19814, 0, 41783, 0, -12917, 0, 26090, 0, 20382, 0, 779, 0, 17256, 0, 80436, 0, 7340, 0, -8466, 0, 29415, 0, 11268, 0, -10808, 0, 33515, 0, -54268, 0, 26105, 0, 69572, 0, -4866, 0, -4920, 0, -6610, 0, 2455, 0, -27352, 0, -23246, 0, 1125, 0, 16355, 0, 33303, 0, -4182, 0, -20038, 0, 33225, 0, 14624, 0, 30899, 0, 69341, 0, -40526, 0, 10520, 0, -53868, 0, 57052, 0, 26617, 0, 79548, 0, -24270, 0, 10463, 0, 40872, 0, -37850, 0, -23142, 0, 5100, 0, 2175, 0, 43505, 0, -128862, 0, 50578, 0, 1675, 0, -37192, 0, 2886, 0, -6620, 0, 73125, 0, -5530, 0, -33969, 0, -34491, 0, -52098, 0, 21357, 0, 14845, 0, -3038, 0, 1717, 0, 37242, 0, 31536, 0, 7880, 0, 29661, 0, -68714, 0, -38622, 0, -36736, 0, 19040, 0, 45978, 0, 96388, 0, -81441, 0, -32478, 0, 6100, 0, 19692, 0, -39220, 0, -53902, 0, -459, 0, 31710, 0, -13045, 0, -12475, 0, -8518, 0, -13899, 0, 270, 0, -12314, 0, 13679, 0, 2072, 0, -45330, 0, -33990, 0, -88515, 0, 8889, 0, -8044, 0, -3772, 0, 1890, 0, -2601, 0, -48252, 0, 7178, 0, -34198, 0, 4250, 0, -7380, 0, 97087, 0, -27858, 0, 6654, 0, -2255, 0, 12310, 0, -29178, 0, -40780, 0, -10625, 0, 22060, 0, -22778, 0, -5313, 0, -15181, 0, 103004, 0, 17230, 0, -81183, 0, 101716, 0, -1356, 0, 44584, 0, 4075, 0, 18824, 0, 109446, 0, 37820, 0, -106039, 0, -7700, 0, 46572, 0, 8286, 0, 66645, 0, -24996, 0, -4420, 0, -29352, 0, 45002, 0, 3137, 0, -48948, 0, -50390, 0, -16995, 0, 29817, 0, -100704, 0, -112520, 0, 580, 0, -46056, 0, 59324, 0, -87048, 0, -104720, 0, 26610, 0, -47580, 0, 12801, 0, -46803, 0, 66484, 0, 19325, 0, 11184, 0, -17696, 0, 43958, 0, -10150, 0, -23460, 0, 62974, 0, 16652, 0, 30819, 0, 75969, 0, 13775, 0, -45946, 0, 1928, 0, -65728, 0, 6035, 0, -8210, 0, 57905, 0, 66116, 0, -20995, 0, -43098, 0, -19270, 0, 93722, 0, -48611, 0, 63778, 0, 5728, 0, 12450, 0, -87224, 0, 119996, 0, -33209, 0, -70850, 0, -16020, 0, -17323, 0, 37658, 0, -61667, 0, 100232, 0, 28520, 0, -122612, 0, -66404, 0, -95494, 0, -112661, 0, -17450, 0, 25132, 0, 63390, 0, -42755, 0, 57975, 0, 66355, 0, 47832, 0, -97540, 0, 32708, 0, -35872, 0, 6150, 0, -87106, 0, -13068, 0, 83802, 0, -45174, 0, 4570, 0, 139931, 0, 24536, 0, -29658, 0, 56236, 0, 8055, 0, -86452, 0, 4788, 0, -163386, 0, -70724, 0, 1615, 0, 34350, 0, -87920, 0, -61712, 0, 114514, 0, 38875, 0, 92784, 0, 8566, 0, -53875, 0, -22730, 0, -7500, 0, 115526, 0, -9604, 0, -80603, 0, -58000, 0, 14095, 0, -31764, 0, 5678, 0, 54132, 0, 55546, 0, -36450, 0, -1960, 0, 207235, 0, 64504, 0, 15558, 0, 62040, 0, -28611, 0, 52151, 0, -148062, 0, 1285, 0, 3375, 0, -126524, 0, 9680, 0, -108407, 0, 17442, 0, -2525, 0, 62276, 0, -30880, 0, -101620, 0, -16208, 0, 46540, 0, 16061, 0, 69726, 0, 129516, 0, -10798, 0, -50210, 0, -217348, 0, -31624, 0, 26388, 0, -56356, 0, 42470, 0, 5321, 0, 25723, 0, -81484, 0, -165384, 0, 18480, 0, 102571, 0, -37186, 0, -42216, 0, 38297, 0, 675, 0, -130197, 0, 25174, 0, 59783, 0, -103756, 0, 13705, 0, -53598, 0, -101422, 0, -10863, 0, -88336, 0, -45300, 0, -91342, 0, 32049, 0, -117676, 0, -18144, 0, -5340, 0, 144482, 0, -49900, 0, -24765, 0, -2508, 0, 540, 0, 131516, 0, 72947, 0, 6314, 0, -38146, 0, 3825, 0, -21478, 0, -149624, 0, 70622, 0, -50120, 0, -37110, 0, 122568, 0, -8296, 0, -54505, 0, -141516, 0, -19160, 0, 97829, 0, -202742, 0, 6200, 0, -81612, 0, 34470, 0, -166306, 0, -23868, 0, -102894, 0, -174646, 0, 22125, 0, 76388, 0, -28441, 0, -71784, 0, -214983, 0, 22325, 0, -45199, 0, 113012, 0, 59040, 0, 13198, 0, 56955, 0, 52792, 0, 65008, 0, -183244, 0, -1564, 0, -8235, 0, -47944, 0, 23195, 0, 5524, 0, -38200, 0, -7280, 0, 4190, 0, -51924, 0, -75171, 0, 90159, 0, 79610, 0, -223918, 0, -88671, 0, -78018, 0, 54663, 0, 6500, 0, 5049, 0, -35256, 0, 151550, 0, -30038, 0, -13730, 0, -67077, 0, 28345, 0, 98228, 0, -13734, 0, -7910, 0, -4488, 0, -73335, 0, -219784, 0, -81070, 0, -15435, 0, -83756, 0, 23318, 0, 46512, 0, -15208, 0, 52975, 0, -100923, 0, 131896, 0, -131599, 0, -53710, 0, -18825, 0, 13082, 0, -69568, 0, -132563, 0, -50911, 0, -2060, 0, 23179, 0, -37065, 0, 43140, 0, -40104, 0, -4335, 0, -205, 0, -110236, 0, 28760, 0, 168607, 0, 24805, 0, -20167, 0, 24878, 0, 13814, 0, 155520, 0, 31535, 0, -99784, 0, -45357, 0, 186110, 0, 103913, 0, -8875, 0, -158216, 0, 7497, 0, -31019, 0, -39154, 0, -81440, 0, -25252, 0, -55900, 0, 222726, 0, 85600, 0, 65030, 0, 23958, 0, 124810, 0, 120584, 0, -13524, 0, 57700, 0, 100808, 0, 187912, 0, 29548, 0, -27591, 0, 76790, 0, -69544, 0, 3935, 0, 25770, 0, 37769, 0, 25475, 0, 69460, 0, 130188, 0, 74380, 0, -151578, 0, 76000, 0, -21775, 0, 101697, 0, -2500, 0, -117340, 0, 360, 0, -25466, 0, -29784, 0, 120936, 0, -31077, 0, -18780, 0, 150912, 0, 30733, 0, 168766, 0, 310652, 0, -19370, 0, -51418, 0, -73526, 0, -128858, 0, -90969, 0, -48100, 0, -133572, 0, 124688, 0, 323, 0, 41341, 0, -19980, 0, 183163, 0, 65858, 0, 6120, 0, 176089, 0, -38640, 0, 69383, 0, 34366, 0, 46128, 0, -106948, 0, -114760, 0, -279463, 0, -192930, 0, 37960, 0, -140817, 0, 13005, 0, 324332, 0, 38467, 0, 69333, 0, -116098, 0, -2375, 0, 147212, 0, -245048, 0, 61350, 0, 206926, 0, 8035, 0, 31002, 0, 134840, 0, -56683, 0, 22799, 0, 22790, 0, -112997, 0, 8075, 0, -101293, 0, 108255, 0, -9795, 0, -160354, 0, 359976, 0, 9512, 0, -113114, 0, 35380, 0, 41588, 0, -115006, 0, 286757, 0, -59860, 0, -8350, 0, 205650, 0, -99774, 0, -54735, 0, 42908, 0, -56795, 0, 63804, 0, 65874, 0, 63495, 0, 56536, 0, 19165, 0, 67073, 0, 124140, 0, 93724, 0, -85938, 0, 9140, 0, 11469, 0, -13322, 0, 111941, 0, -53662, 0, 53740, 0, 16354, 0, -99728, 0, 106127, 0, -11255, 0, -25650, 0, -53560, 0, 178066, 0, 23268, 0, 108030, 0, -32515, 0, -3192, 0, -113696, 0, 198063, 0, -258560, 0, -2680, 0, 174132, 0, 113944, 0, -45492, 0, -31304, 0, -37435, 0, 113688, 0, 201136, 0, -30362, 0, -62652, 0, -20670, 0, -16159, 0, -9193, 0, 71752, 0, 53844, 0, -7825, 0, 131774, 0, 274546, 0, -59494, 0, 84743, 0, 24310, 0, 219420, 0, 105304, 0, 31394, 0, 44484, 0, -79970, 0, -164250, 0, -169172, 0, 193859, 0, 49968, 0, 27120, 0, 656, 0, 109990, 0, -32743, 0, -25148, 0, 13945, 0, 172148, 0, 43588, 0, -61194, 0, 30396, 0, 15975, 0, 211868, 0, -19581, 0, -91261, 0, -130189, 0, 15810, 0, 12516, 0, -61731, 0, -124926, 0, -111655, 0, 5400, 0, 75694, 0, -63373, 0, -285369, 0, 33677, 0, 66770, 0, 53798, 0, -65884, 0, 211024, 0, 233550, 0, 26510, 0, 45076, 0, 192598, 0, -9450, 0, 11189, 0, -5625, 0, -205256, 0, -65924, 0, -282136, 0, -112814, 0, -14575, 0, -41344, 0, 69295, 0, 28041, 0, -55544, 0, 8820, 0, -99536, 0, 300736, 0, -307139, 0, -104208, 0, 129365, 0, -98673, 0, 141496, 0, 227825, 0, 3844, 0, 117995, 0, -35417, 0, 148030, 0, -13957, 0, 146102, 0, 35100, 0, 14450, 0, 125312, 0, 50396, 0, -133542, 0, -104160, 0, 166988, 0, -210652, 0, -95597, 0, 53510, 0, -14860, 0, -118384, 0, 91443, 0, -29354, 0, -48968, 0, -13770, 0, 157392, 0, -183750, 0, -80032, 0, 245322, 0, -2570, 0, 47586, 0, -8472, 0, 320607, 0, -64017, 0, 2300, 0, -831, 0, -60448, 0, 64994, 0, -71812, 0, -22440, 0, 95998, 0, 48790, 0, 122720, 0, 207532, 0, -167570, 0, -171675, 0, 138625, 0, 186442, 0, 122585, 0, -2840, 0, -311894, 0, -187518, 0, -110286, 0, 37064, 0, -6505, 0, 100154, 0, -151695, 0, -71714, 0, -9826, 0, -7425, 0, -47406, 0, 64415, 0, 112998, 0, -184244, 0, -13680, 0, -151838, 0, 25598, 0, 198498, 0, -124082, 0, -49845, 0, -23486, 0, 238169, 0, 108182, 0, 25829, 0, -54770, 0, 30821, 0, 25675, 0, 181140, 0, -56380, 0, -59630, 0, 282733, 0, 347146, 0, 58751, 0, 209832, 0, -68400, 0, -11998, 0, -410688, 0, -160500, 0, -5160, 0, 13180, 0, -27239, 0, -309849, 0, 13566, 0, 115372, 0, -7790, 0, -115638, 0, -42621, 0, 44016, 0, 33636, 0, 78780, 0, 278006, 0, 130472, 0, -67100, 0, 274182, 0, -48230, 0, 314811, 0, 96496, 0, 540172, 0, 42928, 0, 6375, 0, -74741, 0, -16133, 0, -368992, 0, -401744, 0, 46750, 0, -31703, 0, -47274, 0, 157024, 0, 61508, 0, 131040, 0, 215849, 0, 213520, 0, 99028, 0, -151391, 0, 9180, 0, -73567, 0, -36533, 0, 25013, 0, 203464, 0, -90190, 0, -131632, 0, -101704, 0, -140986, 0, 109966, 0, -11025, 0, -125636, 0, 336356, 0, 83617, 0, -21480, 0, 1410, 0, 141867, 0, 26252, 0, -155348, 0, 26010, 0, -64700, 0, 38165, 0, -281366, 0, -28959, 0, -35063, 0, -208200, 0, -9080, 0, 206572, 0, -100712, 0, -278882, 0, 73480, 0, -231275, 0, -240944, 0, 215946, 0, -331646, 0, 40575, 0, 52802, 0, -39766, 0, 46030, 0, -151256, 0, -123260, 0, -140362, 0, 132724, 0, 237276, 0, -123114, 0, -6260, 0, -539608, 0, -204034, 0, -4492, 0, -162601, 0, -3920, 0, -67008, 0, -221616, 0, 64226, 0, -13491, 0, -45810, 0, 76468, 0, -267334, 0, 16561, 0, -40974, 0, 37450, 0, -137220, 0, 130546, 0, -19706, 0, 624938, 0, -125850, 0, 214980, 0, 236526, 0, -260992, 0, 85463, 0, -24735, 0, -119466, 0, 10997, 0, -260247, 0, 229847, 0, -69250, 0, -102857, 0, -428831, 0, 187826, 0, 322860, 0, -130855, 0, 212514, 0, -338314, 0, -89092, 0, 386804, 0, -475, 0, -196276, 0, 88706, 0, 239032, 0, 179734, 0, -32180, 0, 72954, 0, -48562, 0, 155182, 0, 380096, 0, -47260, 0, 82926, 0, -233379, 0, -60629, 0, 345402, 0, -137090, 0, 54758, 0, 24290, 0, -275739, 0, 24956, 0, 91640, 0, 236190, 0, -224376, 0, 228068, 0, 459234, 0, -19125, 0, -13146, 0, 288795, 0, 41608, 0, -44978, 0, -118690, 0, 36208, 0, -258440, 0, 133538, 0, -306404, 0, -39985, 0, 113951, 0, -141880, 0, 370475, 0, -43941, 0, -34680, 0, -68588, 0, -239112, 0, -345926, 0, 48265, 0, -97100, 0, 220982, 0, 54718, 0, 195486, 0, -61887, 0, -11875, 0, 584198, 0, -392562, 0, -16728, 0, 396270, 0, -100910, 0, -124418, 0, 185056, 0, -303712, 0, 9528, 0, -153860, 0, 126832, 0, 14092, 0, -341706, 0, 160200, 0, 137125, 0, -468886, 0, 135336, 0, -72684, 0, 76485, 0, 3825, 0, 341170, 0, 95034, 0, -15700, 0, 45364, 0, -63100, 0, -116538, 0, 16808, 0, -26808, 0, 185292, 0, 99930, 0, 47728, 0, -126598, 0, -53721, 0, 387208, 0, 12630, 0, 38804, 0, 112965, 0, 164098, 0, -353217, 0, -61050, 0, 293970, 0, -219466, 0, -2285, 0, -305996, 0, 6740, 0, 522883, 0, -260288, 0, -59342, 0, -117116, 0, -24050, 0, -186804, 0, -85962, 0, -244193, 0, 35768, 0, -86460, 0, -202718, 0, 21174, 0, 142670, 0, -467338, 0, -159640, 0, -109130, 0, 74166, 0, -9944, 0, -32888, 0, -83970, 0, 143340, 0, -77778, 0, 266936, 0, 49928, 0, 207135, 0, -82518, 0, -417696, 0, 333207, 0, -57412, 0, 66900, 0, -114321, 0, -194992, 0, 153583, 0, 31264, 0, -32160, 0, -220245, 0, -402320, 0, -140759, 0, -359864, 0, 96570, 0, 109905, 0, 79350, 0, 17340, 0, -286642, 0, 133480, 0, 525264, 0, 202319, 0, 4596, 0, -174314, 0, 139790, 0, -186266, 0, 421621, 0, 155, 0, 96382, 0, -35750, 0, -152488, 0, -127120, 0, -453192, 0, 42764, 0, 5695, 0, -207838, 0, -170318, 0, -313792, 0, 142854, 0, 25865, 0, 100938, 0, -191442, 0, 192752, 0, 238876, 0, 106010, 0, -156801, 0, -418984, 0, 66302, 0, 139218, 0, -65770, 0, 309474, 0, -18802, 0, 87194, 0, 127084, 0, -64100, 0, 17390, 0, -342679, 0, 460990, 0, 473245, 0, 22220, 0, -127520, 0, -367472, 0, -190108, 0, -107820, 0, 131260, 0, 11169, 0, -543727, 0, -193392, 0, 50473, 0, 109810, 0, -219812, 0, -661352, 0, -268506, 0, -77474, 0, -294130, 0, 181728, 0, 261460, 0, 9075, 0, -65064, 0, -49525, 0, -557434, 0, -91858, 0, 180830, 0, -574332, 0, -178115, 0, 26792, 0, -223096, 0, 37730, 0, -587950, 0, -79870, 0, 9628, 0, -32686, 0, -123812, 0, 79414, 0, 86595, 0, -169158, 0, 15521, 0, 31376, 0, -376700, 0, 188340, 0, -242735, 0, -64553, 0, 64736, 0, 183091, 0, 60800, 0, -71089, 0, 181256, 0, -387984, 0, 257942, 0, 188305, 0, 596646, 0, 236320, 0, 133112, 0, -844365, 0, 58410, 0, 56483, 0, 227388, 0, 252002, 0, 203162, 0, 20740, 0, -89416, 0, -159614, 0, 692436, 0, 331609, 0, -142890, 0, 266752, 0, -111790, 0, 35838, 0, 618787, 0, 20525, 0, -54344, 0, -2892, 0, -351100, 0, -12969, 0, 184490, 0, 29351, 0, 107814, 0, 262023, 0, 44226, 0, -140235, 0, -282753, 0, -168856, 0, -62796, 0, 449844, 0, -67910, 0, -146646, 0, 190928, 0, -157699, 0, -254002, 0, -120460, 0, -193391, 0, 10590, 0, 273744, 0, 918, 0, 20250, 0, -484052, 0, -464836, 0, -124508, 0, 271134, 0, -137220, 0, -520162, 0, 363428, 0, -241767, 0, -136536, 0, 35730, 0, -69321, 0, 349455, 0, 548448, 0, -288795, 0, -152200, 0, -115566, 0, -95986, 0, -146606, 0, 318771, 0, 103400, 0, 365940, 0, -556072, 0, 72622, 0, -5456, 0, -71750, 0, -121770, 0, -429874, 0, -456852, 0, -58448, 0, -3430, 0, 211712, 0, 35215, 0, 6426, 0, -378845, 0, -24155, 0, 449192, 0, 265594, 0, 204903, 0, 209711, 0, -123120, 0, -87135, 0, -271832, 0, -359404, 0, 22672, 0, 123230, 0, -347588, 0, 55794, 0, 195649, 0, -109587, 0, 14450, 0, 261270, 0, -399678, 0, -105648, 0, 112742, 0, 97945, 0, -109464, 0, -76185, 0, 559054, 0, 418698, 0, -238650, 0, -21116, 0, -342084, 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, 0], [1, 0, 0], [0, 0, 0], [-4, 3, 0], [0, 0, 0], [-5, 0, 0], [0, 0, 0], [-14, 3, -5], [0, 0, 0], [25, -6, 9], [0, 0, 0], [-20, -1, -9], [0, 0, 0], [-2, 20, -5], [0, 0, 0], [20, -15, 0], [0, 0, 0], [-17, 0, 0], [0, 0, 0], [58, 0, 21], [0, 0, 0], [122, -36, 44], [0, 0, 0], [-38, -35, 13], [0, 0, 0], [25, 0, 0], [0, 0, 0], [-118, -18, -81], [0, 0, 0], [4, -32, -65], [0, 0, 0], [22, 7, 6], [0, 0, 0], [122, -62, 60], [0, 0, 0], [70, -15, 25], [0, 0, 0], [-110, 50, 28], [0, 0, 0], [278, 34, 95], [0, 0, 0], [146, -6, -66], [0, 0, 0], [110, 16, 100], [0, 0, 0], [-125, 30, -45], [0, 0, 0], [12, -212, -75], [0, 0, 0], [99, -116, 154], [0, 0, 0], [68, -51, 0], [0, 0, 0], [308, 6, 37], [0, 0, 0], [100, 5, 45], [0, 0, 0], [-358, 174, -147], [0, 0, 0], [-138, -60, -119], [0, 0, 0], [324, 66, 19], [0, 0, 0], [-806, 213, -281], [0, 0, 0], [10, -100, 25], [0, 0, 0], [-130, -6, -62], [0, 0, 0], [-346, -184, -196], [0, 0, 0], [22, -371, 8], [0, 0, 0], [144, -108, -315], [0, 0, 0], [-100, 75, 0], [0, 0, 0], [582, -142, 200], [0, 0, 0], [172, -129, 295], [0, 0, 0], [67, -228, 270], [0, 0, 0], [-914, 32, 26], [0, 0, 0], [85, 0, 0], [0, 0, 0], [-10, -52, 359], [0, 0, 0], [574, -214, -115], [0, 0, 0], [648, -216, 230], [0, 0, 0], [-40, 80, -21], [0, 0, 0], [-290, 0, -105], [0, 0, 0], [-172, -290, -331], [0, 0, 0], [-1052, 269, -363], [0, 0, 0]]}