# Stored data for newspace 784.6.f, downloaded from the LMFDB on 19 September 2025.
{"Nk2": 28224, "analytic_conductor": 125.74091473337681, "char_conductor": 28, "char_degree": 1, "char_is_real": true, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 2, "char_parity": 1, "char_values": [784, 2, [687, 197, 689], [1, 2, 1]], "conrey_index": 783, "cusp_dim": 536, "dim": 100, "eis_dim": 48, "eis_new_dim": 0, "hecke_cutter_primes": [3], "hecke_orbit_code": 343698047760, "hecke_orbit_dims": [4, 12, 14, 14, 16, 40], "label": "784.6.f", "level": 784, "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, 7], "level_radical": 14, "mf_dim": 584, "mf_new_dim": 100, "num_forms": 6, "prim_orbit_index": 4, "relative_dim": 100, "sturm_bound": 672, "trace_bound": 3, "trace_display": [0, 0, 0, 0], "traces": [100, 0, 0, 0, 0, 0, 0, 0, 8100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54316, 0, 0, 0, 23880, 0, 0, 0, 0, 0, 0, 0, 2152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52536, 0, 0, 0, -136776, 0, 0, 0, 0, 0, 0, 0, 198552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 419148, 0, 0, 0, 314424, 0, 0, 0, 0, 0, 0, 0, -634632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180464, 0, 0, 0, 133992, 0, 0, 0, 0, 0, 0, 0, -1136164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1274880, 0, 0, 0, 1774008, 0, 0, 0, 0, 0, 0, 0, 1202688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3188448, 0, 0, 0, -3991364, 0, 0, 0, 0, 0, 0, 0, -246768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2699360, 0, 0, 0, -2936688, 0, 0, 0, 0, 0, 0, 0, -1181040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2081712, 0, 0, 0, 761364, 0, 0, 0, 0, 0, 0, 0, -6164736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4010736, 0, 0, 0, -6430248, 0, 0, 0, 0, 0, 0, 0, 9466512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1688656, 0, 0, 0, 7294200, 0, 0, 0, 0, 0, 0, 0, -18686668, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8805648, 0, 0, 0, 14050656, 0, 0, 0, 0, 0, 0, 0, 5576016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19331208, 0, 0, 0, 4424168, 0, 0, 0, 0, 0, 0, 0, -9948456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38046948, 0, 0, 0, -23091528, 0, 0, 0, 0, 0, 0, 0, -3106264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29417760, 0, 0, 0, 10262736, 0, 0, 0, 0, 0, 0, 0, 12507600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9799344, 0, 0, 0, -2847536, 0, 0, 0, 0, 0, 0, 0, 22683432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20068128, 0, 0, 0, 11338056, 0, 0, 0, 0, 0, 0, 0, -20077288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26878176, 0, 0, 0, -27361320, 0, 0, 0, 0, 0, 0, 0, 30148896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90080376, 0, 0, 0, -43949256, 0, 0, 0, 0, 0, 0, 0, -12508416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48950300, 0, 0, 0, 19008432, 0, 0, 0, 0, 0, 0, 0, 70723888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72962856, 0, 0, 0, 96104784, 0, 0, 0, 0, 0, 0, 0, -80318232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 227701536, 0, 0, 0, -60100336, 0, 0, 0, 0, 0, 0, 0, 81066984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104667952, 0, 0, 0, 75589704, 0, 0, 0, 0, 0, 0, 0, -128731964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 118061736, 0, 0, 0, -20124144, 0, 0, 0, 0, 0, 0, 0, 139012248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -171120816, 0, 0, 0, 13077256, 0, 0, 0, 0, 0, 0, 0, -120171960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 203017224, 0, 0, 0, -111002448, 0, 0, 0, 0, 0, 0, 0, 172007768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -197505096, 0, 0, 0, 107557932, 0, 0, 0, 0, 0, 0, 0, -195859848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 165985128, 0, 0, 0, -81111496, 0, 0, 0, 0, 0, 0, 0, 404987064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -376538880, 0, 0, 0, 38578200, 0, 0, 0, 0, 0, 0, 0, -169154640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 220591968, 0, 0, 0, -47482224, 0, 0, 0, 0, 0, 0, 0, 80329992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -366507648, 0, 0, 0, 86627236, 0, 0, 0, 0, 0, 0, 0, -386353080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 497061480, 0, 0, 0, 164256312, 0, 0, 0, 0, 0, 0, 0, 197487200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -361041408, 0, 0, 0, -123656040, 0, 0, 0, 0, 0, 0, 0, -118894632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 547530960, 0, 0, 0, 16401128, 0, 0, 0, 0, 0, 0, 0, 202267392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -173103528, 0, 0, 0, -28274400, 0, 0, 0, 0, 0, 0, 0, -314656284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 485765856, 0, 0, 0, -342134664, 0, 0, 0, 0, 0, 0, 0, -147431040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], "weight": 6, "weight_parity": 1, "newforms": ["784.6.f.a", "784.6.f.b", "784.6.f.c", "784.6.f.d", "784.6.f.e", "784.6.f.f"], "oldspaces": [[28, 4, 27, 6], [112, 6, 111, 2], [196, 4, 195, 3]]}