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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1], [11, 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': [3234, 1, [1079, 199, 2059], [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]], [13, [-4, 1]], [17, [-6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915669154, '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': '3234.2.a.d', 'level': 3234, '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, 7, 11], 'level_radical': 462, 'minimal_twist': '66.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/3234/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [-1, -1, 0, 0], 'trace_hash': 2204453699906613802, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.994', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [-1], [1], [0], [1], [0], [-1], [1], [0], [-1], [-1], [4], [0], [0], [1], [6], [-1], [4], [0], [0], [1], [6], [1], [-5], [-4], [-1], [0], [6], [0], [-8], [-1], [1], [-6], [0], [1], [-10], [-4], [-4], [0], [-6], [0], [8], [-1], [0], [-6], [6], [-1], [0], [5], [-6], [4], [0], [1], [0], [0], [-4], [-6], [0], [0], [-8], [8], [0], [1], [0], [-1], [-4], [6], [-6], [0], [6], [-1], [-2], [10], [5], [4], [0], [4], [14], [0], [1], [6], [12], [0], [0], [-8], [-6], [1], [6], [0], [0], [6], [8], [-6], [0], [1], [-14], [0], [-1], [-5]], 'ap': [[-1], [-1], [0], [0], [-1], [4], [6], [4], [6], [6], [-8], [-10], [-6], [8], [6], [0], [0], [-8], [-4], [6], [-2], [14], [12], [6], [-14], [-6], [4], [-12], [-4], [18], [14], [12], [-18], [4], [-6], [-10], [-2], [-4], [-12], [-6], [24], [22], [18], [14], [6], [4], [8], [16], [12], [22], [-18], [-12], [10], [0], [30], [0], [24], [-2], [-16], [-6], [-8], [6], [-20], [18], [-26], [12], [-4], [2], [36], [4], [6], [-12], [-8], [20], [20], [-6], [0], [-26], [30], [34], [-24], [-10], [0], [-26], [10], [-24], [6], [-10], [-42], [-4], [12], [24], [20], [12], [-4], [-12], [-24], [18], [16], [20], [-28], [18], [12], [18], [-28], [34], [-24], [30], [30], [22], [-14], [-16], [-30], [-44], [-16], [6], [4], [-6], [-36], [36], [22], [14], [-30], [-24], [-20], [-6], [26], [-30], [28], [4], [8], [36], [8], [-34], [-18], [34], [0], [-32], [0], [-42], [-8], [-18], [8], [-12], [-14], [-18], [-8], [-54], [-20], [42], [-52], [30], [-28], [36], [20], [-42], [2], [-30], [22], [18], [12], [-42], [14], [0], [54], [-30], [56], [-44], [-34], [-12], [-12], [-50], [-60], [-46], [40], [6], [-4], [36], [-2], [4], [32], [60], [14], [-6], [54], [12], [56], [4], [14], [0], [10], [60], [-28], [-48], [-12], [-66], [-22], [-22], [-30], [24], [-54], [-2], [-26], [46], [48], [12], [4], [-36], [-6], [-44], [-10], [12], [-64], [12], [12], [10], [38], [-18], [-18], [-36], [56], [58], [6], [8], [-60], [44], [6], [-30], [-62], [-36], [14], [-8], [74], [-6], [52], [-72], [46], [-6], [24], [30], [-12], [-56], [-32], [-70], [-18], [36], [-20], [36], [-4], [-12], [32], [-6], [42], [10], [6], [-12], [38], [-8], [12], [-14], [-46], [12], [4], [-44], [18], [4], [36], [30], [44], [30], [-50], [-28], [-14], [-58], [70], [-20], [-12], [80], [-46], [-60], [0], [20], [-12], [28], [-68], [6], [14], [54], [28], [30], [-48], [-24], [-6], [36], [44], [-18], [76], [72], [60], [40], [10], [18], [-46], [-12], [68], [-22], [-60], [-14], [-30], [-4], [36], [84], [-18], [-4], [-72], [-50], [-60], [72], [-2], [30], [-44], [38], [-42], [-28], [-6], [-14], [20], [28], [-36], [-42], [-64], [-72], [-74], [-84], [-88], [36], [-70], [-18], [-26], [34], [26], [-42], [-66], [56], [24], [-12], [-2], [20], [36], [-48], [40], [-94], [-24], [-62], [-40], [42], [18], [-60], [78], [42], [-16], [6], [30], [36], [4], [26], [30], [38], [14], [24], [28], [72], [-66], [-14], [-10], [84], [-36], [46], [66], [10], [-96], [54], [-58], [-30], [-8], [30], [80], [58], [-16], [102], [-58], [36], [-72], [-68], [66], [14], [-26], [18], [-100], [-90], [40], [-42], [-22], [42], [-66], [-2], [38], [-66], [4], [-84], [-98], [-78], [-84], [-28], [50], [12], [12], [-20], [-54], [-36], [12], [-32], [102], [-84], [10], [-24], [-60], [30], [52], [48]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915669154, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3234.2.a.d', 'level': 3234, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 4, 4, 4, 6, 3, 2, 5, 5, 4, 3, 6, 2, 7, 7, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [28, 40, 42, 33, 34, 37, 40, 34, 35, 40, 38, 30, 34, 37, 36, 35], 'Nk2': 12936, 'analytic_conductor': 25.823620013682078, '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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, 'hecke_orbit_dims': [1, 1, 1, 1, 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, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, '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, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [68, 2, -2, 68, 4, 0, 0, 2, 68, 4, 0, -2, 0, 0, 0, 68, 12, 2, -4, 4, 0, 2, -4, 0, 52, 16, -2, 0, -12, 0, -24, 2, -2, 0, 0, 68, 56, -4, 36, 4, 12, 0, 12, 0, 4, 0, 12, -2, 0, 62, -8, 0, 60, 0, 0, 0, 44, 64, -8, 0, 24, 16, 0, 68, 72, -4, 40, 12, -4, 0, 4, 2, 24, 68, -6, -4, 0, -20, 52, 4, 68, -8, 16, 0, 56, -20, -8, 2, 24, 4, 0, -4, 64, 8, -32, 0, 16, 0, 0, 52, -4, 4, 32, 16, 0, -20, -8, -2, -8, 0, -4, 0, 32, 12, -32, -12, 0, 8, 0, 0, 68, 0, -8, -24, 72, 0, 20, 2, -4, 88, 8, -2, 0, -32, 0, 0, 8, 8, 44, 0, -4, 8, -20, 68, 8, -4, 0, 56, 44, 16, 36, -4, 12, 0, -96, 36, -48, -40, 8, 4, 0, 2, 16, 12, 4, 0, -40, 0, 68, 24, -4, 12, -12, 4, 0, 0, 24, 4, -128, 4, 40, 0, 28, 0, -104, 0, -4, 12, 0, -64, -116, -2, 56, 68, 32, 0, 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-92, -96, -16, 0, 4, 252, -96, 300, 0, -152, 0, 312, 0, 32, 64, -72, -112, 0, -36, -100, 40, -32, 16, 96, 0, 340, -32, 92, -72, -64, -8, 0, -20, -504, -28, 192, 36, 8, 0, 148, -20, 288, -8, 24, -112, 0, 0, 260, 128, -8, 56, -24, 0, -12, 2, -104, -72, 72, -2, 0, -32, 172, 24, -24, -64, 0, 0, -8, -48, 60, 12, 104, 8, 0, 48, -216, 0, 176, 16, 56, 0, -160, 24, 56, -160, -4, 72], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1068268
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '66.2.a.a', 'target_level': 66, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068269
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '198.2.a.e', 'target_level': 198, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1068270
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '528.2.a.d', 'target_level': 528, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1068271
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '726.2.a.i', 'target_level': 726, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068272
{'conductor': 77, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '726.2.e.b', 'target_level': 726, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1068273
{'conductor': 77, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '726.2.e.k', 'target_level': 726, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1068274
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1584.2.a.h', 'target_level': 1584, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1068275
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1650.2.a.m', 'target_level': 1650, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1068276
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1650.2.c.d', 'target_level': 1650, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1068277
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1782.2.e.f', 'target_level': 1782, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1068278
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1782.2.e.s', 'target_level': 1782, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1068279
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2112.2.a.i', 'target_level': 2112, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1068280
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2112.2.a.v', 'target_level': 2112, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1068281
{'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2178.2.a.b', 'target_level': 2178, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '231.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1068282
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3234.2.a.d', 'target_level': 3234, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1068283
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4950.2.a.g', 'target_level': 4950, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1068284
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4950.2.c.r', 'target_level': 4950, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1068285
{'conductor': 308, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5808.2.a.l', 'target_level': 5808, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '308.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1068286
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '6336.2.a.bf', 'target_level': 6336, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1068287
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '6336.2.a.bj', 'target_level': 6336, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1068288
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3234.2.a.d', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '9702.2.a.bu', 'target_level': 9702, 'twist_class_label': '66.2.a.a', 'twist_class_level': 66, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3073975
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 2}
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id: 3073976
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 3}
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id: 3073977
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 5}
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id: 3073978
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 7}
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id: 3073979
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 11}
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id: 3073980
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 13}
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id: 3073981
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 17}
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id: 3073982
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 19}
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id: 3073983
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 23}
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id: 3073984
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 29}
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id: 3073985
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 31}
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id: 3073986
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 37}
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id: 3073987
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 41}
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id: 3073988
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 43}
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id: 3073989
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 47}
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id: 3073990
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 53}
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id: 3073991
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 59}
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id: 3073992
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 61}
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id: 3073993
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 67}
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id: 3073994
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 71}
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id: 3073995
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 73}
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id: 3073996
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 79}
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id: 3073997
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 83}
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id: 3073998
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 89}
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id: 3073999
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 13510798915669154, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '3234.2.a.d', 'level': 3234, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 33086671
{'hecke_orbit_code': 13510798915669154, 'n': 1, 'trace_an': 1}
-
id: 33086672
{'hecke_orbit_code': 13510798915669154, 'n': 2, 'trace_an': -1}
-
id: 33086673
{'hecke_orbit_code': 13510798915669154, 'n': 3, 'trace_an': -1}
-
id: 33086674
{'hecke_orbit_code': 13510798915669154, 'n': 4, 'trace_an': 1}
-
id: 33086675
{'hecke_orbit_code': 13510798915669154, 'n': 5, 'trace_an': 0}
-
id: 33086676
{'hecke_orbit_code': 13510798915669154, 'n': 6, 'trace_an': 1}
-
id: 33086677
{'hecke_orbit_code': 13510798915669154, 'n': 7, 'trace_an': 0}
-
id: 33086678
{'hecke_orbit_code': 13510798915669154, 'n': 8, 'trace_an': -1}
-
id: 33086679
{'hecke_orbit_code': 13510798915669154, 'n': 9, 'trace_an': 1}
-
id: 33086680
{'hecke_orbit_code': 13510798915669154, 'n': 10, 'trace_an': 0}
-
id: 33086681
{'hecke_orbit_code': 13510798915669154, 'n': 11, 'trace_an': -1}
-
id: 33086682
{'hecke_orbit_code': 13510798915669154, 'n': 12, 'trace_an': -1}
-
id: 33086683
{'hecke_orbit_code': 13510798915669154, 'n': 13, 'trace_an': 4}
-
id: 33086684
{'hecke_orbit_code': 13510798915669154, 'n': 14, 'trace_an': 0}
-
id: 33086685
{'hecke_orbit_code': 13510798915669154, 'n': 15, 'trace_an': 0}
-
id: 33086686
{'hecke_orbit_code': 13510798915669154, 'n': 16, 'trace_an': 1}
-
id: 33086687
{'hecke_orbit_code': 13510798915669154, 'n': 17, 'trace_an': 6}
-
id: 33086688
{'hecke_orbit_code': 13510798915669154, 'n': 18, 'trace_an': -1}
-
id: 33086689
{'hecke_orbit_code': 13510798915669154, 'n': 19, 'trace_an': 4}
-
id: 33086690
{'hecke_orbit_code': 13510798915669154, 'n': 20, 'trace_an': 0}
-
id: 33086691
{'hecke_orbit_code': 13510798915669154, 'n': 21, 'trace_an': 0}
-
id: 33086692
{'hecke_orbit_code': 13510798915669154, 'n': 22, 'trace_an': 1}
-
id: 33086693
{'hecke_orbit_code': 13510798915669154, 'n': 23, 'trace_an': 6}
-
id: 33086694
{'hecke_orbit_code': 13510798915669154, 'n': 24, 'trace_an': 1}
-
id: 33086695
{'hecke_orbit_code': 13510798915669154, 'n': 25, 'trace_an': -5}
-
id: 33086696
{'hecke_orbit_code': 13510798915669154, 'n': 26, 'trace_an': -4}
-
id: 33086697
{'hecke_orbit_code': 13510798915669154, 'n': 27, 'trace_an': -1}
-
id: 33086698
{'hecke_orbit_code': 13510798915669154, 'n': 28, 'trace_an': 0}
-
id: 33086699
{'hecke_orbit_code': 13510798915669154, 'n': 29, 'trace_an': 6}
-
id: 33086700
{'hecke_orbit_code': 13510798915669154, 'n': 30, 'trace_an': 0}
-
id: 33086701
{'hecke_orbit_code': 13510798915669154, 'n': 31, 'trace_an': -8}
-
id: 33086702
{'hecke_orbit_code': 13510798915669154, 'n': 32, 'trace_an': -1}
-
id: 33086703
{'hecke_orbit_code': 13510798915669154, 'n': 33, 'trace_an': 1}
-
id: 33086704
{'hecke_orbit_code': 13510798915669154, 'n': 34, 'trace_an': -6}
-
id: 33086705
{'hecke_orbit_code': 13510798915669154, 'n': 35, 'trace_an': 0}
-
id: 33086706
{'hecke_orbit_code': 13510798915669154, 'n': 36, 'trace_an': 1}
-
id: 33086707
{'hecke_orbit_code': 13510798915669154, 'n': 37, 'trace_an': -10}
-
id: 33086708
{'hecke_orbit_code': 13510798915669154, 'n': 38, 'trace_an': -4}
-
id: 33086709
{'hecke_orbit_code': 13510798915669154, 'n': 39, 'trace_an': -4}
-
id: 33086710
{'hecke_orbit_code': 13510798915669154, 'n': 40, 'trace_an': 0}
-
id: 33086711
{'hecke_orbit_code': 13510798915669154, 'n': 41, 'trace_an': -6}
-
id: 33086712
{'hecke_orbit_code': 13510798915669154, 'n': 42, 'trace_an': 0}
-
id: 33086713
{'hecke_orbit_code': 13510798915669154, 'n': 43, 'trace_an': 8}
-
id: 33086714
{'hecke_orbit_code': 13510798915669154, 'n': 44, 'trace_an': -1}
-
id: 33086715
{'hecke_orbit_code': 13510798915669154, 'n': 45, 'trace_an': 0}
-
id: 33086716
{'hecke_orbit_code': 13510798915669154, 'n': 46, 'trace_an': -6}
-
id: 33086717
{'hecke_orbit_code': 13510798915669154, 'n': 47, 'trace_an': 6}
-
id: 33086718
{'hecke_orbit_code': 13510798915669154, 'n': 48, 'trace_an': -1}
-
id: 33086719
{'hecke_orbit_code': 13510798915669154, 'n': 49, 'trace_an': 0}
-
id: 33086720
{'hecke_orbit_code': 13510798915669154, 'n': 50, 'trace_an': 5}
-
id: 33086721
{'hecke_orbit_code': 13510798915669154, 'n': 51, 'trace_an': -6}
-
id: 33086722
{'hecke_orbit_code': 13510798915669154, 'n': 52, 'trace_an': 4}
-
id: 33086723
{'hecke_orbit_code': 13510798915669154, 'n': 53, 'trace_an': 0}
-
id: 33086724
{'hecke_orbit_code': 13510798915669154, 'n': 54, 'trace_an': 1}
-
id: 33086725
{'hecke_orbit_code': 13510798915669154, 'n': 55, 'trace_an': 0}
-
id: 33086726
{'hecke_orbit_code': 13510798915669154, 'n': 56, 'trace_an': 0}
-
id: 33086727
{'hecke_orbit_code': 13510798915669154, 'n': 57, 'trace_an': -4}
-
id: 33086728
{'hecke_orbit_code': 13510798915669154, 'n': 58, 'trace_an': -6}
-
id: 33086729
{'hecke_orbit_code': 13510798915669154, 'n': 59, 'trace_an': 0}
-
id: 33086730
{'hecke_orbit_code': 13510798915669154, 'n': 60, 'trace_an': 0}
-
id: 33086731
{'hecke_orbit_code': 13510798915669154, 'n': 61, 'trace_an': -8}
-
id: 33086732
{'hecke_orbit_code': 13510798915669154, 'n': 62, 'trace_an': 8}
-
id: 33086733
{'hecke_orbit_code': 13510798915669154, 'n': 63, 'trace_an': 0}
-
id: 33086734
{'hecke_orbit_code': 13510798915669154, 'n': 64, 'trace_an': 1}
-
id: 33086735
{'hecke_orbit_code': 13510798915669154, 'n': 65, 'trace_an': 0}
-
id: 33086736
{'hecke_orbit_code': 13510798915669154, 'n': 66, 'trace_an': -1}
-
id: 33086737
{'hecke_orbit_code': 13510798915669154, 'n': 67, 'trace_an': -4}
-
id: 33086738
{'hecke_orbit_code': 13510798915669154, 'n': 68, 'trace_an': 6}
-
id: 33086739
{'hecke_orbit_code': 13510798915669154, 'n': 69, 'trace_an': -6}
-
id: 33086740
{'hecke_orbit_code': 13510798915669154, 'n': 70, 'trace_an': 0}
-
id: 33086741
{'hecke_orbit_code': 13510798915669154, 'n': 71, 'trace_an': 6}
-
id: 33086742
{'hecke_orbit_code': 13510798915669154, 'n': 72, 'trace_an': -1}
-
id: 33086743
{'hecke_orbit_code': 13510798915669154, 'n': 73, 'trace_an': -2}
-
id: 33086744
{'hecke_orbit_code': 13510798915669154, 'n': 74, 'trace_an': 10}
-
id: 33086745
{'hecke_orbit_code': 13510798915669154, 'n': 75, 'trace_an': 5}
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