# Stored data for newform 1936.4.a.t, downloaded from the LMFDB on 30 January 2025. {"Nk2": 30976, "analytic_conductor": 114.22769777111382, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [11, -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": [1936, 1, [1695, 485, 849], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 10, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-19, -2, 1]], [5, [-311, 6, 1]], [7, [764, 56, 1]]], "hecke_orbit": 20, "hecke_orbit_code": 85568392987150224, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": "1936.4.a.t", "level": 1936, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 11], "level_radical": 22, "minimal_twist": "88.4.a.c", "nf_label": "2.2.5.1", "prim_orbit_index": 1, "qexp_display": "q+(1+\\beta )q^{3}+(-3+4\\beta )q^{5}+(-28+\\cdots)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": "1936.4.a", "trace_display": [0, 2, -6, -56], "trace_hash": 2203066941231054025, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.018", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "72.443", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 2, 0, 2, 0, -6, 0, -56, 0, -12, 0, 0, 0, 44, 0, 154, 0, 8, 0, -188, 0, -96, 0, 66, 0, 408, 0, 14, 0, 56, 0, -206, 0, 0, 0, 8, 0, 142, 0, 484, 0, -252, 0, -372, 0, 356, 0, 200, 0, 922, 0, 608, 0, -1060, 0, 0, 0, -548, 0, 782, 0, 240, 0, 256, 0, 1628, 0, -282, 0, -1094, 0, -754, 0, -68, 0, -552, 0, 0, 0, 52, 0, -902, 0, 4, 0, 2376, 0, -1784, 0, 278, 0, -1672, 0, 74, 0, -876, 0, 306, 0, 0, 0, 1600, 0, 1032, 0, -4352, 0, -368, 0, -308, 0, -1938, 0, 2986, 0, -4838, 0, 616, 0, -824, 0, 0, 0, -772, 0, -4314, 0, -1252, 0, 748, 0, -2800, 0, 5624, 0, -5002, 0, -198, 0, -4160, 0, 920, 0, 0, 0, -7528, 0, 3162, 0, -2368, 0, -156, 0, 1152, 0, 1738, 0, -2710, 0, -1620, 0, -688, 0, -1240, 0, 0, 0, -3620, 0, 1414, 0, 408, 0, 5212, 0, -10464, 0, -1098, 0, 638, 0, 6126, 0, 3040, 0, -8746, 0, 0, 0, 848, 0, 1150, 0, -1784, 0, 3828, 0, 4244, 0, 2368, 0, 2318, 0, 272, 0, -1324, 0, -2716, 0, 0, 0, 1448, 0, -154, 0, 5596, 0, 5488, 0, -6508, 0, 6776, 0, 8610, 0, -4368, 0, 4352, 0, -2098, 0, 0, 0, -4456, 0, 2280, 0, 3572, 0, 8772, 0, -7832, 0, -4400, 0, 6194, 0, -8096, 0, 6644, 0, -14474, 0, 0, 0, 1216, 0, -5804, 0, -1896, 0, -4016, 0, 5544, 0, 940, 0, -7162, 0, 548, 0, 1452, 0, -14872, 0, 0, 0, 5244, 0, 1796, 0, -4804, 0, -11408, 0, -14836, 0, 7576, 0, -794, 0, -3854, 0, -84, 0, -9866, 0, 0, 0, -11308, 0, 9296, 0, -6920, 0, 10480, 0, -1052, 0, 312, 0, -4224, 0, -8330, 0, -8768, 0, -3022, 0, 0, 0, 5032, 0, -6152, 0, -1584, 0, 7212, 0, -6320, 0, 10858, 0, -5012, 0, 11246, 0, 4688, 0, 1466, 0, 0, 0, -8848, 0, 3922, 0, -16780, 0, 4104, 0, -13332, 0, 862, 0, 4662, 0, -17784, 0, 12972, 0, 7194, 0, 0, 0, -25556, 0, 1570, 0, 472, 0, 30240, 0, -21816, 0, 11206, 0, -19008, 0, 8490, 0, -14172, 0, 16650, 0, 0, 0, 4472, 0, 12402, 0, -17136, 0, -520, 0, 13924, 0, -1500, 0, 19464, 0, 8572, 0, -1452, 0, -9774, 0, 0, 0, 10620, 0, -8438, 0, -20016, 0, 26548, 0, -360, 0, 10016, 0, -5740, 0, 240, 0, -12768, 0, -9520, 0, 0, 0, 11824, 0, 14778, 0, 2472, 0, 4236, 0, 2232, 0, -1052, 0, -12674, 0, -30594, 0, -728, 0, 13566, 0, 0, 0, -23916, 0, -47784, 0, 12160, 0, -18544, 0, 5472, 0, -8674, 0, -15582, 0, 1758, 0, 5296, 0, -24150, 0, 0, 0, -29712, 0, 5240, 0, -17948, 0, -19756, 0, 30472, 0, -17558, 0, -2374, 0, -14680, 0, -19744, 0, -27376, 0, 0, 0, 20512, 0, 14776, 0, 17140, 0, -22252, 0, -38880, 0, 20774, 0, 21998, 0, 8344, 0, 9844, 0, -5976, 0, 0, 0, 12252, 0, -16470, 0, 8316, 0, 8256, 0, 3376, 0, 11484, 0, -8452, 0, -11264, 0, 22704, 0, 9238, 0, 0, 0, 33020, 0, 18846, 0, 31004, 0, 10648, 0, 4160, 0, 11296, 0, -4976, 0, 8854, 0, 31872, 0, 4136, 0, 0, 0, 2176, 0, -15038, 0, 28376, 0, -9400, 0, 12456, 0, -11610, 0, 41304, 0, 14154, 0, -19224, 0, -6752, 0, 0, 0, -5368, 0, 8752, 0, 16844, 0, 18964, 0, -17208, 0, -65368, 0, 17088, 0, 14720, 0, -17160, 0, 6892, 0, 0, 0, -6772, 0, 50672, 0, 12320, 0, -10256, 0, -19924, 0, -7484, 0, -13902, 0, 36422, 0, -344, 0, 24022, 0, 0, 0, -30632, 0, -26686, 0, -19352, 0, -47924, 0, 44924, 0, 5724, 0, 846, 0, 16038, 0, -27524, 0, 24478, 0, 0, 0, 1768, 0, 9694, 0, 17520, 0, -12472, 0, -2148, 0, -18246, 0, 21736, 0, 38488, 0, 55208, 0, 12170, 0, 0, 0, -764, 0, 32616, 0, 2848, 0, -4408, 0, 23032, 0, 23160, 0, -32366, 0, -34978, 0, -29480, 0, -10338, 0, 0, 0, 27680, 0, -8808, 0, -16696, 0, -24416, 0, 5372, 0, 16120, 0, -36280, 0, 22654, 0, 6728, 0, -14918, 0, 0, 0, -4108, 0, 15786, 0, -28176, 0, -22792, 0, 55584, 0, -6190, 0, 32274, 0, 15312, 0, -3504, 0, 73234, 0, 0, 0, -13116, 0, -57376, 0, 14216, 0, 13664, 0, 13256, 0, 4904, 0, 38006, 0, -17634, 0, -94572, 0, 60228, 0, 0, 0, -7436, 0, 1104, 0, -16576, 0, -3476, 0, 44588, 0, -21084, 0, 5108, 0, -48744, 0, 53504, 0, 28368, 0, 0, 0, 57432, 0, -77630, 0, 584, 0, -25216, 0, -82088, 0, 36080, 0, -82180, 0, -23302, 0, 11600, 0, -16548, 0, 0, 0, 126704, 0, -39772, 0, -20620, 0, -40260, 0, 8932, 0, -50040, 0, 24888, 0, -16368, 0, 20036, 0, 18522, 0, 0, 0, 628, 0, -30838, 0, -29076, 0, 37288, 0, 93900, 0, -10122, 0, -21806, 0, 37430, 0, -18164, 0, 73198, 0, 0, 0, -7808, 0, 65006, 0, 3924, 0, -22664, 0, 57440, 0, -31250, 0, 27176, 0, -23504, 0, 12524, 0, 4006, 0, 0, 0, 22396, 0, -10156, 0, 105272, 0, 60052, 0, 7956, 0, -72222, 0, -36656, 0, 58334, 0, 77068, 0, 47976, 0, 0, 0, -25280, 0, 32486, 0, -22308, 0, -18648, 0, -12640, 0, -14624, 0, 32502, 0, -63192, 0, -26640, 0, 24304, 0, 0, 0, 21280, 0, 76120, 0, 4700, 0, -18532, 0, -9988, 0, 78888, 0, -7632, 0, -10164, 0, -106828, 0, 33136, 0, 0, 0, -17564, 0, 12710, 0, 56100, 0, 6764, 0, 135216, 0, -61802, 0, -72336, 0, 76018, 0, -16352, 0, -54490, 0, 0, 0, 13784, 0, -36404, 0, 13008, 0, -64408, 0, -23048, 0, -63992, 0, -5542, 0, 112680, 0, 67056, 0, 930, 0, 0, 0, 16888, 0, -36678, 0, 46148, 0, -30480, 0, -44756, 0, -56688, 0, 24258, 0, 51776, 0, 39104, 0, 65474, 0, 0, 0, -25072, 0, -19114, 0, 104680, 0, -38148, 0, -34072, 0, 34430, 0, 200784, 0, -20956, 0, 21660, 0, -63524, 0, 0, 0, -38928, 0, 39864, 0, -76288, 0, 19420, 0, 52036, 0, 46548, 0, 42960, 0, -24434, 0, 5180, 0, 64664, 0, 0, 0, 19264, 0, -1710, 0, -65112, 0, -54164, 0, -87544, 0, 28128, 0, 6862, 0, -2322, 0, 42120, 0, -57458, 0, 0, 0, 44264, 0, -28976, 0, 99656, 0, -102768, 0, -5308, 0, 73128, 0, -14280, 0, 74874, 0, -31344, 0, -3760, 0, 0, 0, -16372, 0, 4098, 0, -11676, 0, -62372, 0, 97320, 0, 4410, 0, -15186, 0, 39512, 0, 14356, 0, 61868, 0, 0, 0, 67120, 0, -11590, 0, 47940, 0, -22496, 0, -56588, 0, 17256, 0, 56924, 0, -34534, 0, 42504, 0, -47168, 0, 0, 0, 61664, 0, 22610, 0, 37872, 0, 48160, 0, -18328, 0, -125226, 0, -29186, 0, -37230, 0, -62140, 0, 112170, 0, 0, 0, -75724, 0, -47760, 0, -37324, 0, -8464, 0, -35592, 0, 44962, 0, 80600, 0, 13966, 0, -1976, 0, 23520, 0, 0, 0, 21360, 0, -34308, 0, -58952, 0, 7524, 0, 106524, 0, 16864, 0, 33140, 0, -81554, 0, -77836, 0, -6064, 0, 0, 0, 34528, 0, 36492, 0, -36344, 0, 5984, 0, -40612, 0, -152976, 0, -46354, 0, 62480, 0, -86292, 0, -18740, 0, 0, 0, -35136, 0, 134328, 0, 33340, 0, 2892, 0, 122836, 0, -15292, 0, -172832, 0, 49156, 0, 16984, 0, -96872, 0, 0, 0, 6948, 0, -61936, 0, 52456, 0, 32560, 0, -26464, 0, 30782, 0, -38864, 0, -80758, 0, -39028, 0, -71900, 0, 0, 0, -184248, 0, -20920, 0, 22316, 0, 3108, 0, 105792, 0, -70342, 0, 72566, 0, -92720, 0, -50400, 0, -43708, 0, 0, 0, -26536, 0, 13960, 0, 8184, 0, 227288, 0, -80992, 0, 83418, 0, -118066, 0, 16530, 0, 65168, 0, 38096, 0, 0, 0, 101396, 0, -58520, 0, -139672, 0, 81512, 0, -65040, 0, 134590, 0, -62986, 0, -202800, 0, 156932, 0, 14086, 0, 0, 0, 46156, 0, 13966, 0, -19440, 0, 14784, 0, 17488, 0, 53008, 0, -162924, 0, 47566, 0, 65476, 0, 67392, 0, 0, 0, 25564, 0, 80326, 0, -46584, 0, 23776, 0, -27520, 0, -141944, 0, 38440, 0, 16936, 0, -44560, 0, 37838, 0, 0, 0, -50408, 0, -133552, 0, 11028, 0, 122992, 0, -153012, 0, 64352, 0, -32554, 0, 51304, 0, -81024, 0, -45068, 0, 0, 0, -96660, 0, 8198, 0, -73280, 0, -39028, 0, -61864, 0, 6610, 0, 99616, 0, -26620, 0, 48624, 0, 75944, 0, 0, 0, -77224, 0, -127034, 0, -12912, 0, -135348, 0, -13660, 0, 9940, 0, -100916, 0, 55672, 0, -15188, 0, 22616, 0, 0, 0, -34276, 0, 21582, 0, -143196, 0, 66448, 0, 37836, 0, -26006, 0, 19402, 0, -15560, 0, 37524, 0, -172574, 0, 0, 0, 32412, 0, -19440, 0, 48972, 0, 39220, 0, 12736, 0, 204648, 0, -19744, 0, -17936, 0, -129224, 0, -207106, 0, 0, 0, -18556, 0, 154122, 0, 18792, 0, -114900, 0, -10076, 0, 126296, 0, -3950, 0, -36568, 0, 63240, 0, -123568, 0, 0, 0, -28652, 0, -19882, 0, -110488, 0, 114680, 0, 9148, 0, -79286, 0, 30236, 0, -97334, 0, -18240, 0, 46558, 0, 0, 0, 5808, 0, 190024, 0, -66764, 0, -3920, 0, 112868, 0, -84706, 0, 64272, 0, 78744, 0, -204688, 0, -62838, 0, 0, 0, 15152, 0, 162112, 0, -17192, 0, -40944, 0, -244640, 0, 44970, 0, 109150, 0, 72832, 0, 9636, 0, -17752, 0, 0, 0, 100224, 0, -60136, 0, -1468, 0, -57304, 0, -155652, 0, 325226, 0, -65076, 0, -140536, 0, -84652, 0, 63754, 0, 0, 0, 7328, 0, -78144, 0, -31576, 0, 91624, 0, -22936, 0, -4522, 0, 38868, 0, 13372, 0, 121144, 0, -212904, 0, 0, 0, -59120, 0, -121268, 0, -14780, 0, 75812, 0, 83784, 0, -11316, 0, 137008, 0, -42282, 0, -16196, 0, 62554, 0, 0, 0, -122232, 0, 105260, 0, -77680, 0, -85120, 0, -61176, 0, -169664, 0, 174176, 0, 21026, 0, 102752, 0, -104576, 0, 0, 0, -135632, 0, 87676, 0, 58068, 0, 13656, 0, 2312, 0, -232736, 0, -119928, 0, -53064, 0, 184516, 0, -99330, 0, 0, 0, -169104, 0, 234256, 0, 124656, 0, 40828, 0, -63904, 0, 228402, 0, 107396, 0, 105720, 0, 110880, 0, -36520, 0, 0, 0, -13320, 0, -119970, 0, 108376, 0, 115976, 0, -243216, 0, -121400, 0, -32420, 0, 173946, 0, 19516, 0, -227016, 0, 0, 0, 275968, 0, -41606, 0, 90452, 0, 138180, 0, -24176, 0, -23240, 0, 2866, 0, -192752, 0, 48328, 0, -108166, 0, 0, 0, -6672, 0, -57700, 0, -56804, 0, 408432, 0, -124500, 0, 170112, 0, 32312, 0, 21414, 0, 27604, 0, -122080, 0, 0, 0, 3976, 0, -168216, 0, -7076, 0, -171768, 0, -94996, 0, 7354, 0, -80408, 0, 118738, 0, -84700, 0, 15232, 0, 0, 0, -112036, 0, 123680, 0, 177792, 0, -112220, 0, -135200, 0, 249138, 0, -49720, 0, -82574, 0, 17564, 0, -51018, 0, 0, 0, -100364, 0, 79528, 0, -78132, 0, 24228, 0, 140688, 0, 99168, 0, -93706, 0, -150634, 0, 72160, 0, 6650, 0, 0, 0, 86864, 0, -124472, 0, 8676, 0, -29256, 0, -145700, 0, -58462, 0, -84604, 0, 111568, 0, 56800, 0, -15622, 0, 0, 0, -118420, 0, 60714, 0, 62728, 0, 12256, 0, 202416, 0, 20574, 0, -146796, 0, -247658, 0, -65480, 0, -22642, 0, 0, 0, 24976, 0, -55616, 0, 3648, 0, 2640, 0, -5120, 0, 41114, 0, 31010, 0, -48136, 0, -50288, 0, -18254, 0, 0, 0, -109324, 0, -213888, 0, -192428, 0, 297044, 0, 165208, 0, -265470, 0, -23878, 0, -73720, 0, -10856, 0, -52114, 0, 0, 0, -34560, 0, -95842, 0, 3320, 0, -17672, 0, -99816, 0, -34056, 0, -112512, 0, 125958, 0, -127496, 0, 93034, 0, 0, 0, -194308, 0, 86150, 0, -40368, 0, 112048, 0, -90528, 0, -130866, 0, -46140, 0, -264792, 0, -213320, 0, 147872, 0, 0, 0, 199164, 0, -176346, 0, -73872, 0, 65372, 0, 7752, 0, 315824, 0, 44714, 0, 143060, 0, 201452, 0, -10736, 0, 0, 0, 184744, 0, 446888, 0, -78940, 0, -145360, 0, -37992, 0, 45704, 0, 85964, 0, -44540, 0, -145292, 0, 162634, 0, 0, 0, -152284, 0, 71190, 0, -122044, 0, -17040, 0, 17432, 0, -109128, 0, -11622, 0, -81758, 0, -15032, 0, -14008, 0, 0, 0, 105952, 0, -146016, 0, -295460, 0, 11248, 0, 59020, 0, 224934, 0, 151560, 0, -5688, 0, -28572, 0, -23486, 0, 0, 0, -48712, 0, -53172, 0, -47736, 0, 208048, 0, -275000, 0, 102284, 0, -38728, 0, -172938, 0, -158544, 0, 47246, 0, 0, 0, -110460, 0, -161162, 0, -316520, 0, -90784, 0, 143944, 0, -86488, 0, 327624, 0, -225568, 0, 2256, 0, -85790, 0, 0, 0, 2264, 0, -247420, 0, -108772, 0, 175332, 0, -58564, 0, -111908, 0, 14000, 0, 294336, 0, -175120, 0, 170280, 0, 0, 0, 215544, 0, 51854, 0, 25172, 0, -40084, 0, -108756, 0, -304240, 0, 23906, 0, 113802, 0, 138072, 0, -91034, 0, 0, 0, -267004, 0, 46936, 0, -78392, 0, 56188, 0, -50032, 0, 110706, 0, -198808, 0, -143578, 0, -28656, 0, 230226, 0, 0, 0, 17072, 0, 148720, 0, 140840, 0, -346656, 0, 80912, 0, 212578, 0, -227590, 0, 153282, 0, 375932, 0, 159634, 0, 0, 0, 212200, 0, -91808, 0, 310424, 0, 147400, 0, -60224, 0, 81862, 0, 28930, 0, 96916, 0, -94316, 0, -174686, 0, 0, 0, -106904, 0, 145062, 0, -178476, 0, 5576, 0, 86036, 0, -49984, 0, 235272, 0, 23000, 0, 216296, 0, 130738, 0, 0, 0, -180696, 0, -59596, 0, -30328, 0, -205812, 0, 198328, 0, 95302, 0, -138936, 0, 192104, 0, 31320, 0, -2354, 0, 0, 0, -128560, 0, 80524, 0, 230096, 0, -38076, 0, -35772, 0, 233478, 0, -231438, 0, 97988, 0, -179832, 0, -24288, 0, 0, 0, 181480, 0, 3526, 0, 192764, 0, -263360, 0, -33552, 0, -203296, 0, -160464, 0, 113250, 0, 52592, 0, -7762, 0, 0, 0, 127204, 0, 132520, 0, 453664, 0, -75932, 0, 4124, 0, -238006, 0, 4264, 0, -69498, 0, -317424, 0, -141292, 0, 0, 0, 299880, 0, 107256, 0, 108636, 0, -124392, 0, 122176, 0, 113134, 0, 20486, 0, 122608, 0, 27444, 0, -153274, 0, 0, 0, -284528, 0, 54882, 0, 118264, 0, 161044, 0, 274692, 0, -230110, 0, -39202, 0, -92504, 0, 211704, 0, 40360, 0, 0, 0, -94784, 0, 54936, 0, 126788, 0, -99248, 0, 265836, 0, -291690, 0, 150480, 0, -222196, 0, 187592, 0, -171880, 0, 0, 0, 294320, 0, 205258, 0, -374580, 0, 64884, 0, 74480, 0, -20490, 0, -1062, 0, 232586, 0, 1188, 0, -305328, 0, 0, 0, 22652, 0, 233968, 0, -21816, 0, 27380, 0, -74092, 0, -83928, 0, 104974, 0, 162264, 0, 235500, 0, 447880, 0, 0, 0, -133700, 0, -673678, 0, 105220, 0, 6248, 0, 150296, 0, -130072, 0, -108920, 0, 325586, 0, 19284, 0, -13432, 0, 0, 0, 189152, 0, 397496, 0, 53632, 0, -168744, 0, -16764, 0, 119888, 0, 33074, 0, -3838, 0, -30136, 0, -369814, 0, 0, 0, 211092, 0, -155222, 0, 90748, 0, -115060, 0, -68416, 0, 18442, 0, 242680, 0, -116080, 0, -100104, 0, 401752, 0, 0, 0, 322848, 0, -66640, 0, 133044, 0, -257980, 0, -228244, 0, -231088, 0, 71066, 0, -344936, 0, 41156, 0, 56154, 0, 0, 0, 20812, 0, -65610, 0, 530880, 0, -269112, 0, 2104, 0, -818, 0, 15128, 0, 128238, 0, -198092, 0, 184776, 0, 0, 0, -257656, 0, 32246, 0, 75648, 0, -102300, 0, 219532, 0, -85994, 0, 701688, 0, 137242, 0, -59116, 0, 255288, 0, 0, 0, 426628, 0, -357024, 0, -46800, 0, 212480, 0, 46068, 0, 227808, 0, 105670, 0, -257232, 0, 350024, 0, -6256, 0, 0, 0, 214016, 0, -114384, 0, 20104, 0, 251844, 0, 408364, 0, -520020, 0, 142618, 0, 14364, 0, 92772, 0, 295170, 0, 0, 0, 124468, 0, 611528, 0, 17556, 0, -19668, 0, -69664, 0, 131102, 0, -76700, 0, 33760, 0, -243008, 0, -84734, 0, 0, 0, -25988, 0, -154890, 0, -252848, 0, 16584, 0, 560384, 0, 356840, 0, -57422, 0, -340692, 0, -259392, 0, -42496, 0, 0, 0, -251840, 0, 195596, 0, -16728, 0, -210416, 0, 169868, 0, 25490, 0, -233728, 0, 434776, 0, -332440, 0, 77480, 0, 0, 0, -204672, 0, 207874, 0, -128960, 0, -412320, 0, 233956, 0, 57726, 0, -245406, 0, -91254, 0, 45848, 0, -136754, 0, 0, 0, 178712, 0, -303906, 0, 330052, 0, -332880, 0, -290260, 0, -147662, 0, -103616, 0, -73094, 0, 221636, 0, 484422, 0, 0, 0, 35576, 0, -73112, 0, -379816, 0, -243312, 0, 275320, 0, -181740, 0, 108144, 0, 62464, 0, -563464, 0, 464648, 0, 0, 0, -28396, 0, -196944, 0, -41280, 0, 1732, 0, -14064, 0, 68280, 0, -162158, 0, 617632, 0, 208700, 0, -80714, 0, 0, 0, -28648, 0, -383472, 0, 32896, 0, -162668, 0, -206560, 0, 44360, 0, -413592, 0, 183940, 0, 7360, 0, 29544, 0, 0, 0, -213856, 0, -375364, 0, -310656, 0, 35760, 0, -483348, 0, -241208, 0, 207212, 0, 100064, 0, -107972, 0, 325144, 0, 0, 0, -267936, 0, 271886, 0, -174884, 0, 199928, 0, 483392, 0, 92060, 0, -94894, 0, 79816, 0, 87700, 0, 645624, 0, 0, 0, 135764, 0, 207832, 0, -17484, 0, 336472, 0, -119352, 0, 296920, 0, -277682, 0, 125560, 0, 12520, 0, -228976, 0, 0, 0, -109456, 0, 176212, 0, 376712, 0, 80736, 0, -93192, 0, -26094, 0, -320080, 0, 75790, 0, 74400, 0, 228504, 0, 0, 0, 296056, 0, -592442, 0, 248464, 0, -169288, 0, 125252, 0, -94084, 0, -265502, 0, 56074, 0, -169976, 0, 255222, 0, 0, 0, -154808, 0, 164092, 0, 228580, 0, -408248, 0, 199140, 0, -723744, 0, -78768, 0, -352498, 0, 87204, 0, 43378, 0, 0, 0, -15896, 0, 89480, 0, 333364, 0, -179348, 0, 146784, 0, -216600, 0, 436720, 0, -448270, 0, -231568, 0, 619184, 0, 0, 0, 150424, 0, 126448, 0, -235276, 0, -7492, 0, 226880, 0, -156958, 0, 301224, 0, -78860, 0, 341508, 0, -347002, 0, 0, 0, -10400, 0, -111342, 0, -566616, 0, 207964, 0, -220240, 0, 538010, 0, 124112, 0, 238944, 0, -407836, 0, -38348, 0, 0, 0, 447700, 0, 197056, 0, 62016, 0, 267440, 0, 274024, 0, 92288, 0, 391680, 0, 98198, 0, 192512, 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], [1, 1], [0, 0], [-3, 4], [0, 0], [-28, -1], [0, 0], [-6, 2], [0, 0], [0, 0], [0, 0], [22, 11], [0, 0], [77, 1], [0, 0], [4, 15], [0, 0], [-94, -9], [0, 0], [-48, -29], [0, 0], [33, -29], [0, 0], [204, -24], [0, 0], [7, -31], [0, 0], [28, -46], [0, 0], [-103, 7], [0, 0], [0, 0], [0, 0], [4, -109], [0, 0], [71, -52], [0, 0], [242, 33], [0, 0], [-126, -13], [0, 0], [-186, 28], [0, 0], [178, -30], [0, 0], [100, 18], [0, 0], [461, 56], [0, 0], [304, 19], [0, 0], [-530, -14], [0, 0], [0, 0], [0, 0], [-274, -103], [0, 0], [391, -47], [0, 0], [120, 70], [0, 0], [128, -50], [0, 0], [814, 55], [0, 0], [-141, 65], [0, 0], [-547, 4], [0, 0], [-377, 15], [0, 0], [-34, -161], [0, 0], [-276, 180], [0, 0], [0, 0], [0, 0], [26, 88], [0, 0], [-451, -78], [0, 0], [2, 166], [0, 0], [1188, -29], [0, 0], [-892, -18], [0, 0], [139, -186], [0, 0], [-836, -330], [0, 0], [37, -96], [0, 0], [-438, -349], [0, 0], [153, -104], [0, 0], [0, 0], [0, 0]]}