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mf_newforms • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [567, 1, [407, 325], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 321, 'field_disc_factorization': [[3, 1], [107, 1]], 'field_poly': [1, -4, -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': [[2, [1, -4, -1, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777975, 'hecke_ring_generator_nbound': 2, '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': '567.2.a.g', 'level': 567, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.f.b', 'nf_label': '3.3.321.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{1}+\\beta _{2})q^{4}+(2+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.a', 'trace_display': [1, 0, 5, -3], 'trace_hash': 844984833493096112, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.056', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.818', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.184', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.651', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '250.887', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [3, 1, 0, 3, 5, 0, -3, 6, 0, 0, 2, 0, 3, -1, 0, 3, 12, 0, -3, 16, 0, -15, 0, 0, 6, 1, 0, -3, -1, 0, -3, 8, 0, -3, -5, 0, -3, -8, 0, 21, 22, 0, -3, -23, 0, 12, 9, 0, 3, -10, 0, 3, 18, 0, -6, -6, 0, -9, 9, 0, -6, 18, 0, -12, 5, 0, 0, -6, 0, 0, -9, 0, 3, -6, 0, -21, -2, 0, 15, -11, 0, 9, 12, 0, 9, -34, 0, -21, 2, 0, -3, -15, 0, 24, -16, 0, 3, 1, 0, 21, 13, 0, -30, 6, 0, 18, -7, 0, -21, -47, 0, -3, -4, 0, -27, -8, 0, -9, -12, 0, 9, -14, 0, 0, 12, 0, 12, -39, 0, 0, -19, 0, 3, -59, 0, 6, 21, 0, 3, -16, 0, -15, 2, 0, 0, 18, 0, 30, -6, 0, 9, -24, 0, 15, -21, 0, 9, 50, 0, 15, 0, 0, 6, 11, 0, -3, 11, 0, -36, -21, 0, -42, -11, 0, -6, -20, 0, 51, 1, 0, 39, -1, 0, -15, 33, 0, 33, 63, 0, -21, -19, 0, -21, -39, 0, 3, -1, 0, -6, 27, 0, 18, 1, 0, 24, 2, 0, 3, 23, 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15, 51, 0, -78, 76, 0, -33], 'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.16908569159476738, 0.0], [0.0, 0.0], [-0.9714100288979192, 0.0], [-0.5285811289932056, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [-0.333337228153065, 0.0], [0.0, 0.0], [-0.08937550575975912, 0.0], [1.1167065959072224, 0.0], [0.0, 0.0], [0.2773500981126146, 0.0], [-0.06390838431701697, 0.0], [0.0, 0.0], [0.9150474731413755, 0.0], [1.683881202232303, 0.0], [0.0, 0.0], [0.4457134893376795, 0.0], [0.5134690097901847, 0.0], [0.0, 0.0], [0.18881910707741115, 0.0], [1.1683083367555545, 0.0], [0.0, 0.0], [-0.720601990072268, 0.0], [0.04689593315324802, 0.0], [0.0, 0.0], [0.36715847964828024, 0.0], [-0.044404078021856155, 0.0], [0.0, 0.0], [0.29817890707602596, 0.0], [0.4880586629912188, 0.0], [0.0, 0.0], [0.2847202176428773, 0.0], [0.19978488786253934, 0.0], [0.0, 0.0], [-1.5693247863301307, 0.0], [0.07536377359777852, 0.0], [0.0, 0.0], [0.1761957683926129, 0.0], [1.5901523941279256, 0.0], [0.0, 0.0], [0.3393779773578679, 0.0], [-1.084779986600732, 0.0], [0.0, 0.0], [0.1975442231162453, 0.0], [-0.850168293636987, 0.0], [0.0, 0.0], [0.14285714285714285, 0.0], [-0.12184348585593514, 0.0], [0.0, 0.0], [-0.26942066682241567, 0.0], [1.5937959902838839, 0.0], [0.0, 0.0], [-0.5902700332187992, 0.0], [0.12598962977322975, 0.0], [0.0, 0.0], [-0.007508094241953558, 0.0], [-0.33888303070979126, 0.0], [0.0, 0.0], [-0.9734656721430283, 0.0], [0.05041778672192172, 0.0], [0.0, 0.0], [-0.8325237365706877, 0.0], [-0.14660202798674218, 0.0], [0.0, 0.0], [0.42858023179054955, 0.0], [-1.6357390873211446, 0.0], [0.0, 0.0], [0.03378076593442051, 0.0], [-1.020989441434805, 0.0], [0.0, 0.0], [1.7730376074355905, 0.0], [-0.2653503668334407, 0.0], [0.0, 0.0], [-0.43297055355770764, 0.0], [-0.4220754200280014, 0.0], [0.0, 0.0], [0.830040318758389, 0.0], [-0.4836768264354483, 0.0], [0.0, 0.0], [0.2688720173021954, 0.0], [0.7620735058855393, 0.0], [0.0, 0.0], [-0.8900678269663873, 0.0], [0.0573839600135884, 0.0], [0.0, 0.0], [-0.3722398813399584, 0.0], [-0.29120300624495493, 0.0], [0.0, 0.0], [-0.10482848367219183, 0.0], [-1.134906435169393, 0.0], [0.0, 0.0], [-0.1437512939015532, 0.0], [-0.23559573940161177, 0.0], [0.0, 0.0], [0.7278275740273922, 0.0], [0.024155098799252483, 0.0], [0.0, 0.0], [0.7, 0.0]], 'angles': [-0.23652850767036598, None, -0.29256889526436747, None, -0.15571668429785712, -0.22785782138107133, -0.09070662991752475, -0.2142308917328931, -0.15071317128587605, -0.25353385462000844, -0.226182881232167, -0.39358184592278334, -0.10371540766118117, -0.2228618425006895, -0.31987774929801316, -0.10323640165318652, -0.2770981921567669, -0.33090573783563804, -0.21562810192365672, -0.33526885683366564, -0.07655830780949954, -0.18188726105071976, -0.18778356579828515, -0.27325586790702683, -0.19072013726930087, -0.14027840078866902, -0.2847523060227205, -0.36547698638120824, -0.24036583208219045, -0.3469309806448305, -0.24053353941516684, -0.21518969761310233, -0.2203229852240161, -0.22326165094195485, -0.32520324966784336, -0.15414185781573475, -0.24963685137955866, -0.25940532124802773, -0.15382940970636466, -0.25152948259724167, -0.33897779337378714, -0.2584710688323538, -0.3417591028029207, -0.2955738556140466, -0.2882987166613708, -0.3749171583617382, -0.35699040670500326, -0.38706053895372533, -0.22195357605180432, -0.13969543951426272, -0.15612615730209317, -0.3419479913681897, -0.0806604631789908, -0.14716623475583743, -0.17340204070747578, -0.21164281106778202, -0.24266444794022934, -0.3663417895309551, -0.30273425140524474, -0.16604347878444972, -0.32522574554518957, -0.20587784684566232, -0.23766094232052423, -0.18513267584968507, -0.3405035254144682, -0.2319967220760298, -0.3052416512385637, -0.19581414940963607, -0.2785605463984695, -0.20049730036335311, -0.14943042853476118, -0.21805012410408084, -0.3303082078670586, -0.1835614314452256, -0.2334654864915233, -0.2509167350151318, -0.36062555406021934, -0.3350732890105356, -0.1879342293437056, -0.2434784376107275, -0.40169210785503046, -0.17669178906334354, -0.3745820251998513, -0.29753086927349487, -0.2683919399941966, -0.2547073801988241, -0.28339983721601814, -0.2895209935748168, -0.3379983984294872, -0.21116480207837757, -0.29985011326009997, -0.30387356163487295, -0.2022128052481598, -0.32189132831760564, -0.40047394262706587, -0.30682205218379344, -0.38745849162474666, -0.213975923350535, -0.1333424372438541, -0.34476932528033877], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.23912327825655447, 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777975, 'label': '567.2.a.g.1.2', 'level': 567, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 7, 3], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6], 'ALdims_old': [8, 9, 11, 9], 'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [567, 1, [407, 325], [1, 1]], 'conrey_index': 1, 'cusp_dim': 61, 'dim': 24, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554999, 'hecke_orbit_dims': [1, 1, 3, 3, 3, 3, 3, 3, 4], 'label': '567.2.a', 'level': 567, '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': [3, 7], 'level_radical': 21, 'mf_dim': 84, 'mf_new_dim': 24, 'num_forms': 9, 'plus_dim': 8, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, 0, 36, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 12, 0, 0, -12, 0, 0, -24, 0, 0, 24, 0, 0, 12, 0, 0, -12, 0, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, -12, 0, 0, 36, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -60, 0, 0, 12, 0, 0, -24, 0, 0, 48, 0, 0, -48, 0, 0, -12, 0, 0, -84, 0, 0, 0, 0, 0, -36, 0, 0, -24, 0, 0, 12, 0, 0, 24, 0, 0, 24, 0, 0, -84, 0, 0, -60, 0, 0, -48, 0, 0, -108, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -48, 0, 0, -36, 0, 0, -36, 0, 0, 84, 0, 0, 72, 0, 0, -60, 0, 0, 24, 0, 0, 24, 0, 0, -96, 0, 0, 72, 0, 0, -36, 0, 0, 120, 0, 0, -84, 0, 0, -24, 0, 0, 156, 0, 0, 36, 0, 0, 84, 0, 0, 60, 0, 0, -36, 0, 0, 48, 0, 0, 24, 0, 0, -48, 0, 0, -12, 0, 0, 24, 0, 0, 96, 0, 0, 12, 0, 0, -60, 0, 0, 24, 0, 0, -72, 0, 0, 72, 0, 0, 24, 0, 0, 156, 0, 0, -72, 0, 0, 24, 0, 0, -24, 0, 0, 12, 0, 0, -84, 0, 0, -12, 0, 0, 120, 0, 0, 84, 0, 0, -132, 0, 0, 24, 0, 0, 12, 0, 0, 84, 0, 0, 24, 0, 0, -180, 0, 0, -60, 0, 0, 0, 0, 0, -60, 0, 0, 36, 0, 0, -96, 0, 0, -60, 0, 0, -48, 0, 0, -24, 0, 0, 96, 0, 0, 48, 0, 0, -108, 0, 0, -60, 0, 0, 84, 0, 0, 36, 0, 0, 156, 0, 0, -60, 0, 0, -12, 0, 0, 72, 0, 0, 36, 0, 0, -72, 0, 0, 240, 0, 0, 36, 0, 0, 192, 0, 0, 0, 0, 0, 252, 0, 0, 48, 0, 0, 84, 0, 0, -144, 0, 0, 132, 0, 0, -84, 0, 0, -48, 0, 0, -60, 0, 0, -24, 0, 0, 108, 0, 0, 48, 0, 0, -36, 0, 0, 120, 0, 0, -36, 0, 0, 156, 0, 0, -24, 0, 0, 204, 0, 0, -48, 0, 0, -168, 0, 0, -36, 0, 0, 84, 0, 0, -132, 0, 0, 48, 0, 0, -108, 0, 0, 300, 0, 0, -96, 0, 0, -120, 0, 0, -24, 0, 0, -12, 0, 0, 84, 0, 0, 144, 0, 0, 48, 0, 0, -120, 0, 0, -108, 0, 0, 72, 0, 0, -48, 0, 0, -204, 0, 0, -144, 0, 0, -300, 0, 0, 0, 0, 0, 96, 0, 0, -24, 0, 0, 60, 0, 0, -168, 0, 0, 144, 0, 0, 0, 0, 0, -72, 0, 0, 132, 0, 0, 12, 0, 0, -72, 0, 0, 240, 0, 0, -216, 0, 0, -372, 0, 0, 0, 0, 0, 84, 0, 0, -24, 0, 0, 108, 0, 0, -168, 0, 0, -264, 0, 0, 0, 0, 0, 36, 0, 0, 48, 0, 0, -72, 0, 0, -36, 0, 0, 48, 0, 0, -72, 0, 0, -252, 0, 0, -24, 0, 0, -228, 0, 0, -72, 0, 0, 228, 0, 0, -132, 0, 0, -24, 0, 0, -60, 0, 0, -216, 0, 0, 36, 0, 0, -84, 0, 0, -36, 0, 0, 60, 0, 0, 132, 0, 0, -24, 0, 0, -192, 0, 0, 24, 0, 0, 48, 0, 0, 300, 0, 0, 72, 0, 0, -204, 0, 0, 0, 0, 0, -180, 0, 0, 36, 0, 0, 60, 0, 0, -72, 0, 0, -96, 0, 0, 144, 0, 0, 120, 0, 0, 24, 0, 0, -300, 0, 0, 12, 0, 0, -264, 0, 0, -48, 0, 0, 312, 0, 0, -48, 0, 0, -48, 0, 0, -288, 0, 0, -84, 0, 0, -228, 0, 0, 36, 0, 0, -72, 0, 0, -216, 0, 0, 180, 0, 0, 408, 0, 0, 36, 0, 0, -228, 0, 0, 12, 0, 0, -348, 0, 0, -204, 0, 0, -48, 0, 0, 252, 0, 0, 12, 0, 0, -84, 0, 0, 324, 0, 0, -156, 0, 0, 336, 0, 0, 144, 0, 0, 0, 0, 0, 72, 0, 0, 204, 0, 0, 132, 0, 0, 336, 0, 0, 24, 0, 0, 180, 0, 0, -156, 0, 0, -24, 0, 0, 240, 0, 0, 204, 0, 0, -12, 0, 0, 24, 0, 0, -192, 0, 0, 132, 0, 0, 24, 0, 0, 24, 0, 0, 300, 0, 0, 84, 0, 0, 252, 0, 0, -60, 0, 0, 36, 0, 0, 36, 0, 0, 36, 0, 0, 312, 0, 0, 156, 0, 0, 504, 0, 0, -96, 0, 0, 60, 0, 0, -48, 0, 0, 240, 0, 0, -24, 0, 0, -228, 0, 0, 396, 0, 0, 192, 0, 0, 24, 0, 0, -24, 0, 0, -36, 0, 0, 192, 0, 0, -276, 0, 0, -396, 0, 0, 0, 0, 0, -216, 0, 0, -24, 0, 0, -132, 0, 0, -60, 0, 0, -132, 0, 0, -240, 0, 0, 48, 0, 0, 192, 0, 0, 36, 0, 0, -132, 0, 0, -24, 0, 0, -180, 0, 0, -216, 0, 0, 84, 0, 0, 132, 0, 0, 0, 0, 0, 276, 0, 0, 36, 0, 0, -108, 0, 0, 168, 0, 0, 360, 0, 0, 516, 0, 0, -120, 0, 0, -36, 0, 0, 48, 0, 0, -24, 0, 0, -204, 0, 0, 252, 0, 0, 48, 0, 0, -12, 0, 0, 24, 0, 0, 288, 0, 0, 204, 0, 0, -108, 0, 0, 252, 0, 0, 120, 0, 0, -156, 0, 0, 72, 0, 0, -84, 0, 0, 132, 0, 0, -60, 0, 0, 48, 0, 0, -312, 0, 0, 0, 0, 0, -168, 0, 0, -48, 0, 0, -420, 0, 0, 372, 0, 0, -444, 0, 0, 84, 0, 0, 36, 0, 0, -108, 0, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45518519
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797777975, 'target_is_minimal': False, 'target_label': '567.2.a.g.1.2', 'target_level': 567, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45518520
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666487, 'target_is_minimal': False, 'target_label': '567.2.a.d.1.2', 'target_level': 567, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45518521
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 247697979538940784, 'target_is_minimal': False, 'target_label': '9072.2.a.cd.1.1', 'target_level': 9072, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45518522
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444115841, 'target_is_minimal': False, 'target_label': '3969.2.a.p.1.2', 'target_level': 3969, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45518523
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308671, 'target_is_minimal': True, 'target_label': '63.2.f.b.22.2', 'target_level': 63, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45518524
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 127, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938301, 'target_is_minimal': False, 'target_label': '189.2.f.a.127.2', 'target_level': 189, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45518525
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308671, 'target_is_minimal': True, 'target_label': '63.2.f.b.43.2', 'target_level': 63, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45518526
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 64, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938301, 'target_is_minimal': False, 'target_label': '189.2.f.a.64.2', 'target_level': 189, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45518527
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 189151184383124336, 'target_is_minimal': False, 'target_label': '9072.2.a.bq.1.3', 'target_level': 9072, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45518528
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562004353, 'target_is_minimal': False, 'target_label': '3969.2.a.m.1.2', 'target_level': 3969, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45518529
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022766028884944, 'target_is_minimal': False, 'target_label': '3024.2.r.g.1009.3', 'target_level': 3024, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45518530
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037164538364912, 'target_is_minimal': False, 'target_label': '1008.2.r.k.337.2', 'target_level': 1008, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45518531
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 673, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037164538364912, 'target_is_minimal': False, 'target_label': '1008.2.r.k.673.2', 'target_level': 1008, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45518532
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 2017, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022766028884944, 'target_is_minimal': False, 'target_label': '3024.2.r.g.2017.3', 'target_level': 3024, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45518533
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897273, 'target_is_minimal': False, 'target_label': '441.2.g.e.67.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45518534
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605157163, 'target_is_minimal': False, 'target_label': '1323.2.g.c.667.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45518535
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262521, 'target_is_minimal': False, 'target_label': '441.2.h.b.214.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45518536
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007680324633017, 'target_is_minimal': False, 'target_label': '441.2.h.c.373.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45518537
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885680427, 'target_is_minimal': False, 'target_label': '1323.2.f.c.883.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45518538
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605157163, 'target_is_minimal': False, 'target_label': '1323.2.g.c.361.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 45518539
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 148, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050041, 'target_is_minimal': False, 'target_label': '441.2.f.d.148.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45518540
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007680324633017, 'target_is_minimal': False, 'target_label': '441.2.h.c.214.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45518541
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279952004395, 'target_is_minimal': False, 'target_label': '1323.2.h.d.226.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 45518542
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977786667, 'target_is_minimal': False, 'target_label': '1323.2.g.b.667.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45518543
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897273, 'target_is_minimal': False, 'target_label': '441.2.g.e.79.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 45518544
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 442, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885680427, 'target_is_minimal': False, 'target_label': '1323.2.f.c.442.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 45518545
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262521, 'target_is_minimal': False, 'target_label': '441.2.h.b.373.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 45518546
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014879579374891, 'target_is_minimal': False, 'target_label': '1323.2.h.e.802.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 45518547
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050041, 'target_is_minimal': False, 'target_label': '441.2.f.d.295.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 45518548
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232526777, 'target_is_minimal': False, 'target_label': '441.2.g.d.67.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45518549
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014879579374891, 'target_is_minimal': False, 'target_label': '1323.2.h.e.226.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 45518550
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279952004395, 'target_is_minimal': False, 'target_label': '1323.2.h.d.802.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 45518551
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232526777, 'target_is_minimal': False, 'target_label': '441.2.g.d.79.2', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45518552
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797777975, 'source_is_minimal': False, 'source_label': '567.2.a.g.1.2', 'source_level': 567, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977786667, 'target_is_minimal': False, 'target_label': '1323.2.g.b.361.2', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.2', 'twist_class_level': 63, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1055475
{'charpoly_factorization': [[[1, -4, -1, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 2}
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id: 1055476
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 27021597797777975, 'p': 3}
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id: 1055477
{'charpoly_factorization': [[[11, 2, -5, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 5}
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id: 1055478
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 27021597797777975, 'p': 7}
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id: 1055479
{'charpoly_factorization': [[[47, -19, -2, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 11}
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id: 1055480
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 27021597797777975, 'p': 13}
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id: 1055481
{'charpoly_factorization': [[[-27, 39, -12, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 17}
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id: 1055482
{'charpoly_factorization': [[[-7, -6, 3, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 19}
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id: 1055483
{'charpoly_factorization': [[[9, -33, 0, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 23}
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id: 1055484
{'charpoly_factorization': [[[-1, -4, 1, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 29}
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id: 1055485
{'charpoly_factorization': [[[27, -24, 3, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 31}
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id: 1055486
{'charpoly_factorization': [[[81, -54, 3, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 37}
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id: 1055487
{'charpoly_factorization': [[[-353, 155, -22, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 41}
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id: 1055488
{'charpoly_factorization': [[[121, -66, 3, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 43}
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id: 1055489
{'charpoly_factorization': [[[189, -54, -9, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 47}
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id: 1055490
{'charpoly_factorization': [[[-9, 75, -18, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 53}
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id: 1055491
{'charpoly_factorization': [[[63, -6, -9, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 59}
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id: 1055492
{'charpoly_factorization': [[[-67, -21, 6, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 61}
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id: 1055493
{'charpoly_factorization': [[[683, -207, 0, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 67}
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id: 1055494
{'charpoly_factorization': [[[-81, -6, 9, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 71}
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id: 1055495
{'charpoly_factorization': [[[-243, -168, -3, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 73}
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id: 1055496
{'charpoly_factorization': [[[769, -48, -15, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 79}
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id: 1055497
{'charpoly_factorization': [[[-27, 39, -12, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 83}
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id: 1055498
{'charpoly_factorization': [[[-379, -151, -2, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 89}
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id: 1055499
{'charpoly_factorization': [[[603, -114, -3, 1], 1]], 'hecke_orbit_code': 27021597797777975, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '567.2.a.g', 'level': 567, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45050389
{'hecke_orbit_code': 27021597797777975, 'n': 1, 'trace_an': 3}
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id: 45050390
{'hecke_orbit_code': 27021597797777975, 'n': 2, 'trace_an': 1}
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id: 45050391
{'hecke_orbit_code': 27021597797777975, 'n': 3, 'trace_an': 0}
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{'hecke_orbit_code': 27021597797777975, 'n': 647, 'trace_an': 13}
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id: 45050594
{'hecke_orbit_code': 27021597797777975, 'n': 653, 'trace_an': 36}
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id: 45050595
{'hecke_orbit_code': 27021597797777975, 'n': 659, 'trace_an': -3}
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id: 45050596
{'hecke_orbit_code': 27021597797777975, 'n': 661, 'trace_an': -27}
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id: 45050597
{'hecke_orbit_code': 27021597797777975, 'n': 673, 'trace_an': 18}
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id: 45050598
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id: 45050599
{'hecke_orbit_code': 27021597797777975, 'n': 683, 'trace_an': 0}
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id: 45050600
{'hecke_orbit_code': 27021597797777975, 'n': 691, 'trace_an': -90}
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id: 45050601
{'hecke_orbit_code': 27021597797777975, 'n': 701, 'trace_an': -54}
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id: 45050602
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id: 45050603
{'hecke_orbit_code': 27021597797777975, 'n': 719, 'trace_an': 51}
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id: 45050604
{'hecke_orbit_code': 27021597797777975, 'n': 727, 'trace_an': 57}
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id: 45050605
{'hecke_orbit_code': 27021597797777975, 'n': 729, 'trace_an': 0}
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id: 45050606
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id: 45050607
{'hecke_orbit_code': 27021597797777975, 'n': 739, 'trace_an': 3}
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id: 45050608
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id: 45050609
{'hecke_orbit_code': 27021597797777975, 'n': 751, 'trace_an': 33}
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id: 45050610
{'hecke_orbit_code': 27021597797777975, 'n': 757, 'trace_an': -78}
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id: 45050611
{'hecke_orbit_code': 27021597797777975, 'n': 761, 'trace_an': 6}
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id: 45050612
{'hecke_orbit_code': 27021597797777975, 'n': 769, 'trace_an': 24}
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id: 45050613
{'hecke_orbit_code': 27021597797777975, 'n': 773, 'trace_an': 25}
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id: 45050614
{'hecke_orbit_code': 27021597797777975, 'n': 787, 'trace_an': 27}
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id: 45050615
{'hecke_orbit_code': 27021597797777975, 'n': 797, 'trace_an': -70}
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id: 45050616
{'hecke_orbit_code': 27021597797777975, 'n': 809, 'trace_an': 0}
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id: 45050617
{'hecke_orbit_code': 27021597797777975, 'n': 811, 'trace_an': -24}
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id: 45050618
{'hecke_orbit_code': 27021597797777975, 'n': 821, 'trace_an': 79}
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id: 45050619
{'hecke_orbit_code': 27021597797777975, 'n': 823, 'trace_an': -108}
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id: 45050620
{'hecke_orbit_code': 27021597797777975, 'n': 827, 'trace_an': 63}
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id: 45050621
{'hecke_orbit_code': 27021597797777975, 'n': 829, 'trace_an': 39}
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id: 45050622
{'hecke_orbit_code': 27021597797777975, 'n': 839, 'trace_an': 23}
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id: 45050623
{'hecke_orbit_code': 27021597797777975, 'n': 841, 'trace_an': -78}
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id: 45050624
{'hecke_orbit_code': 27021597797777975, 'n': 853, 'trace_an': -39}
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id: 45050625
{'hecke_orbit_code': 27021597797777975, 'n': 857, 'trace_an': 92}
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id: 45050626
{'hecke_orbit_code': 27021597797777975, 'n': 859, 'trace_an': -15}
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id: 45050627
{'hecke_orbit_code': 27021597797777975, 'n': 863, 'trace_an': 18}
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id: 45050628
{'hecke_orbit_code': 27021597797777975, 'n': 877, 'trace_an': -54}
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id: 45050629
{'hecke_orbit_code': 27021597797777975, 'n': 881, 'trace_an': -15}
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id: 45050630
{'hecke_orbit_code': 27021597797777975, 'n': 883, 'trace_an': -57}
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id: 45050631
{'hecke_orbit_code': 27021597797777975, 'n': 887, 'trace_an': 88}
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id: 45050632
{'hecke_orbit_code': 27021597797777975, 'n': 907, 'trace_an': 87}
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id: 45050633
{'hecke_orbit_code': 27021597797777975, 'n': 911, 'trace_an': -27}
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id: 45050634
{'hecke_orbit_code': 27021597797777975, 'n': 919, 'trace_an': -48}
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id: 45050635
{'hecke_orbit_code': 27021597797777975, 'n': 929, 'trace_an': 7}
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id: 45050636
{'hecke_orbit_code': 27021597797777975, 'n': 937, 'trace_an': 36}
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id: 45050637
{'hecke_orbit_code': 27021597797777975, 'n': 941, 'trace_an': 49}
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id: 45050638
{'hecke_orbit_code': 27021597797777975, 'n': 947, 'trace_an': 64}
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id: 45050639
{'hecke_orbit_code': 27021597797777975, 'n': 953, 'trace_an': 58}
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id: 45050640
{'hecke_orbit_code': 27021597797777975, 'n': 961, 'trace_an': -36}
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id: 45050641
{'hecke_orbit_code': 27021597797777975, 'n': 967, 'trace_an': 6}
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id: 45050642
{'hecke_orbit_code': 27021597797777975, 'n': 971, 'trace_an': 24}
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id: 45050643
{'hecke_orbit_code': 27021597797777975, 'n': 977, 'trace_an': 45}
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id: 45050644
{'hecke_orbit_code': 27021597797777975, 'n': 983, 'trace_an': 24}
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id: 45050645
{'hecke_orbit_code': 27021597797777975, 'n': 991, 'trace_an': -27}
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id: 45050646
{'hecke_orbit_code': 27021597797777975, 'n': 997, 'trace_an': -78}