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{'Nk2': 13248, 'analytic_conductor': 26.446453149448065, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [23, -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': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[5, [0, 1]], [7, [-2, 1]], [11, [0, 1]], [13, [5, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052521712, 'hecke_ring_generator_nbound': 1, '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': '3312.2.a.i', 'level': 3312, '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, 3, 23], 'level_radical': 138, 'minimal_twist': '184.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{7}-5q^{13}+6q^{17}-6q^{19}+q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/3312/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3312.2.a', 'trace_display': [0, 0, 0, 2], 'trace_hash': 1009396997584275523, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [2], [0], [0], [0], [0], [0], [-5], [0], [0], [0], [6], [0], [-6], [0], [0], [0], [1], [0], [-5], [0], [0], [0], [-9], [0], [-3], [0], [0], [0], [0], [0], [-8], [0], [0], [0], [-3], [0], [8], [0], [0], [0], [7], [0], [-3], [0], [0], [0], [2], [0], [0], [0], [0], [0], [4], [0], [-10], [0], [0], [0], [0], [0], [-8], [0], [0], [0], [7], [0], [9], [0], [0], [0], [0], [0], [6], [0], [0], [0], [-14], [0], [0], [0], [0], [0], [-16], [0], [-10], [0], [0], [0], [0], [0], [6], [0], [0], [0]], 'ap': [[0], [0], [0], [2], [0], [-5], [6], [-6], [1], [-9], [-3], [-8], [-3], [8], [7], [2], [4], [-10], [-8], [7], [9], [6], [-14], [-16], [6], [-6], [-14], [14], [0], [-2], [-5], [-9], [-4], [23], [-14], [-7], [12], [11], [4], [10], [-3], [0], [-16], [-7], [27], [-20], [-8], [-8], [-10], [-20], [-15], [-13], [-4], [10], [13], [6], [-5], [8], [-23], [18], [-4], [-12], [-4], [-17], [-20], [2], [19], [8], [-12], [-7], [11], [-18], [10], [4], [4], [-12], [4], [31], [24], [25], [28], [-22], [36], [-16], [-5], [-9], [-6], [38], [-1], [-16], [6], [38], [-17], [-7], [1], [10], [15], [-8], [-18], [-43], [19], [-8], [44], [24], [-26], [33], [15], [-22], [-24], [13], [-40], [2], [18], [4], [40], [40], [44], [-33], [-39], [50], [-42], [-5], [22], [29], [-4], [42], [14], [16], [36], [-14], [-29], [-6], [-4], [-12], [-41], [-28], [-8], [-40], [-42], [-2], [5], [54], [57], [-12], [54], [30], [-14], [-23], [17], [49], [18], [18], [36], [27], [10], [-50], [-10], [-7], [4], [-6], [7], [-42], [47], [-26], [0], [-14], [0], [-50], [22], [-3], [12], [-43], [-10], [24], [-41], [-26], [-25], [-11], [-34], [-22], [7], [20], [9], [6], [36], [-38], [18], [-30], [-35], [48], [31], [24], [-52], [-10], [48], [-40], [16], [4], [28], [-63], [-36], [-24], [13], [64], [24], [31], [-20], [-49], [29], [7], [-33], [-19], [-36], [-2], [0], [-24], [-23], [3], [-20], [-51], [-21], [-16], [-33], [30], [-45], [3], [36], [-3], [-2], [4], [-14], [26], [-40], [-26], [36], [-62], [-28], [72], [27], [-15], [16], [-55], [-11], [-49], [-6], [43], [-59], [-18], [38], [-52], [-30], [-48], [58], [-46], [30], [-75], [-44], [16], [55], [13], [-40], [28], [58], [-62], [-54], [46], [24], [36], [-14], [67], [37], [-34], [0], [-6], [-39], [29], [-40], [2], [-20], [-36], [-51], [56], [44], [82], [-4], [60], [34], [10], [28], [-66], [6], [62], [-66], [2], [29], [-38], [-10], [-75], [-7], [-33], [-58], [6], [46], [-43], [-32], [-37], [-36], [-80], [4], [-22], [19], [-30], [-22], [31], [-30], [42], [5], [71], [16], [33], [-52], [2], [33], [36], [-84], [-92], [88], [59], [-60], [-10], [73], [61], [19], [-19], [22], [-3], [-20], [-54], [-5], [-8], [-61], [48], [-50], [-46], [-60], [-48], [11], [-36], [14], [64], [57], [73], [-30], [-62], [50], [-26], [66], [-32], [87], [-8], [-28], [-45], [33], [24], [67], [21], [-3], [-60], [-62], [13], [-84], [27], [2], [44], [99], [-43], [-20], [-38], [-12], [39], [12], [70], [4], [-47], [-50], [-87], [43], [-74], [92], [-54], [10], [-54], [-49], [-52], [62], [16], [-16], [-54], [62], [30], [-1], [-33], [66], [-74], [45], [-39], [10], [47], [-94], [60], [23], [-3], [12], [10], [-18], [51], [-24], [64], [-36], [-40], [38], [-16], [-72], [-84], [-35], [1], [-54], [70], [97], [19]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 36028797052521712, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3312.2.a.i', 'level': 3312, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 6, 8, 8, 5, 5, 7, 10], 'Nk2': 13248, 'analytic_conductor': 26.446453149448065, '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': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 553, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33557744, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '3312.2.a', 'level': 3312, '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, 3, 23], 'level_radical': 138, 'mf_dim': 600, 'mf_new_dim': 55, 'num_forms': 34, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, -2, -4], 'traces': [55, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 3, 0, 65, 0, 0, 0, -2, 0, 2, 0, 0, 0, -24, 0, -2, 0, 0, 0, -2, 0, 24, 0, 0, 0, -2, 0, 55, 0, 0, 0, -10, 0, 8, 0, 0, 0, -28, 0, -10, 0, 0, 0, 12, 0, -16, 0, 0, 0, -26, 0, -2, 0, 0, 0, -8, 0, -28, 0, 0, 0, 20, 0, -4, 0, 0, 0, 14, 0, -12, 0, 0, 0, -32, 0, -26, 0, 0, 0, -30, 0, 36, 0, 0, 0, 28, 0, -10, 0, 0, 0, 30, 0, 6, 0, 0, 0, 16, 0, 35, 0, 0, 0, 36, 0, -26, 0, 0, 0, -18, 0, 16, 0, 0, 0, -18, 0, -18, 0, 0, 0, 16, 0, 12, 0, 0, 0, 14, 0, -6, 0, 0, 0, 32, 0, -34, 0, 0, 0, 0, 0, -42, 0, 0, 0, -48, 0, 49, 0, 0, 0, 34, 0, -4, 0, 0, 0, -30, 0, -42, 0, 0, 0, 28, 0, -16, 0, 0, 0, 24, 0, -34, 0, 0, 0, -34, 0, -8, 0, 0, 0, 68, 0, -28, 0, 0, 0, 8, 0, -28, 0, 0, 0, 16, 0, -48, 0, 0, 0, -4, 0, -72, 0, 0, 0, -12, 0, 30, 0, 0, 0, 6, 0, 16, 0, 0, 0, 70, 0, -58, 0, 0, 0, 70, 0, 100, 0, 0, 0, 36, 0, 0, 0, 0, 0, 54, 0, 96, 0, 0, 0, 100, 0, -4, 0, 0, 0, -18, 0, -40, 0, 0, 0, 40, 0, -42, 0, 0, 0, 30, 0, 8, 0, 0, 0, -60, 0, 69, 0, 0, 0, -50, 0, 72, 0, 0, 0, -24, 0, 32, 0, 0, 0, 4, 0, 52, 0, 0, 0, 150, 0, 6, 0, 0, 0, -14, 0, 88, 0, 0, 0, -48, 0, -54, 0, 0, 0, 32, 0, 134, 0, 0, 0, 16, 0, 14, 0, 0, 0, 16, 0, 64, 0, 0, 0, 60, 0, -66, 0, 0, 0, -42, 0, 40, 0, 0, 0, 44, 0, 19, 0, 0, 0, -92, 0, -36, 0, 0, 0, 48, 0, -74, 0, 0, 0, -36, 0, -32, 0, 0, 0, -32, 0, -88, 0, 0, 0, 6, 0, -14, 0, 0, 0, 24, 0, -18, 0, 0, 0, -10, 0, 114, 0, 0, 0, -24, 0, -50, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 14, 0, 0, 0, 18, 0, -72, 0, 0, 0, -88, 0, -10, 0, 0, 0, 0, 0, 6, 0, 0, 0, 14, 0, 20, 0, 0, 0, 6, 0, -8, 0, 0, 0, 0, 0, -18, 0, 0, 0, -106, 0, 40, 0, 0, 0, -60, 0, -24, 0, 0, 0, 8, 0, -140, 0, 0, 0, -84, 0, 20, 0, 0, 0, -44, 0, -18, 0, 0, 0, -22, 0, -52, 0, 0, 0, -40, 0, 98, 0, 0, 0, -52, 0, -12, 0, 0, 0, -26, 0, 84, 0, 0, 0, -88, 0, -64, 0, 0, 0, 22, 0, -76, 0, 0, 0, -140, 0, 55, 0, 0, 0, 16, 0, 184, 0, 0, 0, -136, 0, 22, 0, 0, 0, 36, 0, 38, 0, 0, 0, -84, 0, -64, 0, 0, 0, -50, 0, -144, 0, 0, 0, 152, 0, 28, 0, 0, 0, -82, 0, -36, 0, 0, 0, 21, 0, 46, 0, 0, 0, -8, 0, -40, 0, 0, 0, -130, 0, 96, 0, 0, 0, -50, 0, 104, 0, 0, 0, 120, 0, 54, 0, 0, 0, -2, 0, -104, 0, 0, 0, -82, 0, 46, 0, 0, 0, 46, 0, -168, 0, 0, 0, -88, 0, 3, 0, 0, 0, 84, 0, 72, 0, 0, 0, -112, 0, -58, 0, 0, 0, -114, 0, -200, 0, 0, 0, -106, 0, -48, 0, 0, 0, 54, 0, 104, 0, 0, 0, 132, 0, 78, 0, 0, 0, 64, 0, 12, 0, 0, 0, -56, 0, -122, 0, 0, 0, -82, 0, -232, 0, 0, 0, -22, 0, 36, 0, 0, 0, 44, 0, 140, 0, 0, 0, -56, 0, -20, 0, 0, 0, -82, 0, -280, 0, 0, 0, 8, 0, 6, 0, 0, 0, -8, 0, 48, 0, 0, 0, -88, 0, 120, 0, 0, 0, -22, 0, 128, 0, 0, 0, -56, 0, 86, 0, 0, 0, -144, 0, -58, 0, 0, 0, 188, 0, -4, 0, 0, 0, 64, 0, -104, 0, 0, 0, 56, 0, -34, 0, 0, 0, -66, 0, -176, 0, 0, 0, -56, 0, -34, 0, 0, 0, 70, 0, 38, 0, 0, 0, 12, 0, -8, 0, 0, 0, 4, 0, 120, 0, 0, 0, 176, 0, -44, 0, 0, 0, 38, 0, -84, 0, 0, 0, 80, 0, 16, 0, 0, 0, -34, 0, -54, 0, 0, 0, 224, 0, -104, 0, 0, 0, -78, 0, -70, 0, 0, 0, 160, 0, 122, 0, 0, 0, -2, 0, -64, 0, 0, 0, -204, 0, 105, 0, 0, 0, 138, 0, 84, 0, 0, 0, -30, 0, 82, 0, 0, 0, -10, 0, -126, 0, 0, 0, 266, 0, 180, 0, 0, 0, -16, 0, -72, 0, 0, 0, -256, 0, 34, 0, 0, 0, 102, 0, -36, 0, 0, 0, 166, 0, 64, 0, 0, 0, 16, 0, -120, 0, 0, 0, -46, 0, 84, 0, 0, 0, 44, 0, 84, 0, 0, 0, 68, 0, -16, 0, 0, 0, 56, 0, -36, 0, 0, 0, 150, 0, -118, 0, 0, 0, 94, 0, 60, 0, 0, 0, -232, 0, -82, 0, 0, 0, -34, 0, -16, 0, 0, 0, 22, 0, 40, 0, 0, 0, -106, 0, -32, 0, 0, 0, 8, 0, 103, 0, 0, 0, -20, 0, -90, 0, 0, 0, 12, 0, -72, 0, 0, 0, -82, 0, -96, 0, 0, 0, 132, 0, -4, 0, 0, 0, 0, 0, 120, 0, 0, 0, 312, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1079985
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '184.2.a.d', 'target_level': 184, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1079986
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '368.2.a.a', 'target_level': 368, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1079987
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1472.2.a.a', 'target_level': 1472, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1079988
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1472.2.a.m', 'target_level': 1472, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1079989
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1656.2.a.c', 'target_level': 1656, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1079990
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3312.2.a.i', 'target_level': 3312, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1079991
{'conductor': 276, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4232.2.a.j', 'target_level': 4232, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '276.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1079992
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4600.2.a.a', 'target_level': 4600, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1079993
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4600.2.e.a', 'target_level': 4600, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1079994
{'conductor': 69, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '8464.2.a.b', 'target_level': 8464, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '69.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1079995
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '9016.2.a.b', 'target_level': 9016, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1079996
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3312.2.a.i', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '9200.2.a.bj', 'target_level': 9200, 'twist_class_label': '184.2.a.d', 'twist_class_level': 184, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3115750
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 2}
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id: 3115751
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 3}
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id: 3115752
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 5}
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id: 3115753
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 7}
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id: 3115754
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 11}
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id: 3115755
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 13}
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id: 3115756
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 17}
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id: 3115757
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 19}
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id: 3115758
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 23}
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id: 3115759
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 29}
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id: 3115760
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 31}
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id: 3115761
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 37}
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id: 3115762
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 41}
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id: 3115763
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 43}
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id: 3115764
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 47}
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id: 3115765
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 53}
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id: 3115766
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 59}
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id: 3115767
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 61}
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id: 3115768
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 67}
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id: 3115769
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 71}
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id: 3115770
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 73}
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id: 3115771
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 79}
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id: 3115772
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 83}
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id: 3115773
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 89}
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id: 3115774
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052521712, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '3312.2.a.i', 'level': 3312, 'portrait': 'data:image/png;base64,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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50643571
{'hecke_orbit_code': 36028797052521712, 'n': 1, 'trace_an': 1}
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id: 50643572
{'hecke_orbit_code': 36028797052521712, 'n': 2, 'trace_an': 0}
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id: 50643573
{'hecke_orbit_code': 36028797052521712, 'n': 3, 'trace_an': 0}
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id: 50643574
{'hecke_orbit_code': 36028797052521712, 'n': 4, 'trace_an': 0}
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