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{'Nk2': 28224, 'analytic_conductor': 56.34244366621544, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 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': [7056, 1, [6175, 1765, 785, 4609], [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, [-3, 1]], [11, [-3, 1]], [13, [-2, 1]], [17, [-6, 1]], [23, [-6, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402086288, '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': '7056.2.a.by', 'level': 7056, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.g.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{5}+3q^{11}+2q^{13}+6q^{17}-2q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/7056/by'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7056.2.a', 'trace_display': [0, 0, 3, 0], 'trace_hash': 864607830304128499, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [3], [0], [0], [0], [0], [0], [3], [0], [2], [0], [0], [0], [6], [0], [-2], [0], [0], [0], [6], [0], [4], [0], [0], [0], [9], [0], [7], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [4], [0], [0], [0], [-12], [0], [0], [0], [0], [0], [-3], [0], [9], [0], [0], [0], [3], [0], [-4], [0], [0], [0], [6], [0], [-2], [0], [0], [0], [0], [0], [2], [0], [0], [0], [0], [0], [-5], [0], [0], [0], [-9], [0], [18], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [-6], [0], [-13], [0], [0], [0]], 'ap': [[0], [0], [3], [0], [3], [2], [6], [-2], [6], [9], [7], [-10], [0], [4], [-12], [-3], [3], [-4], [-2], [0], [2], [-5], [-9], [-6], [-13], [6], [16], [-3], [-10], [0], [1], [15], [6], [-2], [-6], [-5], [-4], [10], [18], [-6], [12], [20], [-12], [-7], [-18], [-8], [16], [1], [-15], [20], [-6], [-18], [23], [-9], [-6], [-24], [-3], [19], [-4], [-18], [-20], [9], [-26], [12], [17], [21], [-8], [5], [12], [14], [24], [-30], [37], [-4], [28], [-30], [-30], [8], [-24], [11], [36], [8], [-24], [26], [19], [15], [18], [-13], [18], [4], [-12], [-24], [-11], [-9], [-38], [-18], [-15], [24], [-26], [-16], [-14], [15], [3], [30], [-32], [-1], [-27], [30], [30], [23], [13], [26], [36], [4], [37], [-12], [-38], [12], [39], [36], [-40], [17], [-33], [-51], [-32], [9], [14], [42], [31], [20], [-26], [54], [-23], [-28], [-42], [5], [6], [16], [27], [-12], [-2], [-15], [16], [-9], [2], [54], [-46], [-12], [16], [6], [56], [-18], [-20], [6], [-50], [0], [28], [-24], [-37], [15], [-12], [-36], [-29], [-39], [-12], [-24], [19], [-22], [-37], [39], [-15], [-40], [42], [-19], [-11], [0], [40], [-57], [28], [32], [19], [9], [2], [-6], [30], [15], [44], [10], [-61], [-42], [29], [-27], [-26], [66], [-33], [6], [14], [32], [-36], [-12], [-57], [40], [-34], [50], [36], [-39], [-8], [-39], [54], [-38], [62], [27], [-41], [-39], [-42], [-58], [49], [-66], [6], [-18], [-52], [16], [-24], [-29], [9], [-4], [-6], [12], [-17], [24], [-4], [16], [43], [6], [22], [30], [-49], [-33], [-72], [-54], [-24], [-56], [-59], [-10], [54], [24], [-17], [-60], [40], [0], [-34], [-24], [-42], [-22], [-39], [51], [44], [-32], [-27], [-7], [64], [27], [-70], [44], [60], [58], [-9], [18], [-68], [-21], [-40], [46], [-31], [-47], [-67], [-8], [-75], [-22], [26], [-12], [48], [43], [18], [68], [-38], [42], [-73], [-9], [13], [0], [78], [21], [12], [-36], [14], [-21], [40], [-54], [60], [-68], [74], [3], [-11], [-9], [-20], [-82], [-33], [50], [-30], [-70], [6], [42], [66], [-56], [-18], [-10], [-81], [66], [41], [-72], [28], [-22], [45], [-8], [60], [35], [64], [58], [6], [-9], [32], [-57], [64], [12], [46], [-36], [26], [48], [-43], [37], [32], [54], [45], [-35], [-15], [45], [-10], [-26], [90], [21], [70], [-1], [18], [-35], [-52], [0], [-84], [3], [-96], [18], [32], [-24], [-6], [-12], [-62], [-13], [18], [64], [53], [21], [-8], [78], [-27], [40], [-10], [-60], [-90], [-1], [30], [-10], [42], [-36], [-8], [-66], [52], [12], [-32], [-88], [34], [-54], [-31], [-6], [75], [4], [-30], [47], [73], [-54], [70], [15], [50], [66], [-68], [102], [-39], [37], [-58], [-72], [16], [-93], [-1], [-33], [-27], [76], [74], [57], [24], [28], [90], [-84], [51], [-46], [-36], [-9], [38], [78], [-75], [-54], [70], [-60]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 225179981402086288, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7056.2.a.by', 'level': 7056, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [8, 12, 16, 15, 12, 9, 13, 15], 'Nk2': 28224, 'analytic_conductor': 56.34244366621544, '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': [7056, 1, [6175, 1765, 785, 4609], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1249, 'dim': 100, 'eis_dim': 191, 'eis_new_dim': 5, 'hecke_cutter_primes': [5, 11, 13, 17, 23], 'hecke_orbit_code': 33561488, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '7056.2.a', 'level': 7056, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 1440, 'mf_new_dim': 105, 'num_forms': 77, 'plus_dim': 45, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 2688, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, -4, 0, -4, 0, 0, 0, 2, 0, 94, 0, 0, 0, 14, 0, -4, 0, 0, 0, 0, 0, 6, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 6, 0, 0, 0, -8, 0, -2, 0, 0, 0, -40, 0, 2, 0, 0, 0, 0, 0, -22, 0, 0, 0, 12, 0, 18, 0, 0, 0, -12, 0, 0, 0, 0, 0, -34, 0, 2, 0, 0, 0, 16, 0, -28, 0, 0, 0, -10, 0, 26, 0, 0, 0, 26, 0, 16, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 52, 0, 0, 0, -20, 0, 0, 0, 0, 0, 20, 0, -4, 0, 0, 0, 72, 0, -16, 0, 0, 0, 32, 0, 118, 0, 0, 0, 74, 0, 30, 0, 0, 0, 0, 0, 82, 0, 0, 0, -32, 0, 68, 0, 0, 0, 40, 0, 0, 0, 0, 0, 26, 0, 26, 0, 0, 0, 16, 0, 16, 0, 0, 0, 42, 0, 22, 0, 0, 0, 14, 0, -76, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 52, 0, 0, 0, 32, 0, 0, 0, 0, 0, 24, 0, 92, 0, 0, 0, -92, 0, 10, 0, 0, 0, 20, 0, 66, 0, 0, 0, -88, 0, 2, 0, 0, 0, 0, 0, 76, 0, 0, 0, 44, 0, 10, 0, 0, 0, 20, 0, 0, 0, 0, 0, -18, 0, 16, 0, 0, 0, -24, 0, 28, 0, 0, 0, -108, 0, 58, 0, 0, 0, -14, 0, 68, 0, 0, 0, 0, 0, 78, 0, 0, 0, 16, 0, 38, 0, 0, 0, -24, 0, 0, 0, 0, 0, -18, 0, 52, 0, 0, 0, 104, 0, 14, 0, 0, 0, 40, 0, 76, 0, 0, 0, 134, 0, 38, 0, 0, 0, 0, 0, 106, 0, 0, 0, -48, 0, -44, 0, 0, 0, -48, 0, 0, 0, 0, 0, 130, 0, -2, 0, 0, 0, -12, 0, 32, 0, 0, 0, 138, 0, 26, 0, 0, 0, 62, 0, -44, 0, 0, 0, 0, 0, -10, 0, 0, 0, -32, 0, 20, 0, 0, 0, 24, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -160, 0, -50, 0, 0, 0, -100, 0, 52, 0, 0, 0, -62, 0, -38, 0, 0, 0, 0, 0, 64, 0, 0, 0, 60, 0, 84, 0, 0, 0, -92, 0, 0, 0, 0, 0, -58, 0, 6, 0, 0, 0, 0, 0, -68, 0, 0, 0, 6, 0, 42, 0, 0, 0, 58, 0, 128, 0, 0, 0, 0, 0, -22, 0, 0, 0, 56, 0, 100, 0, 0, 0, -44, 0, 0, 0, 0, 0, -8, 0, -156, 0, 0, 0, 176, 0, -52, 0, 0, 0, 16, 0, 70, 0, 0, 0, 156, 0, 24, 0, 0, 0, 0, 0, 18, 0, 0, 0, -48, 0, -46, 0, 0, 0, 72, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 44, 0, -84, 0, 0, 0, -46, 0, 74, 0, 0, 0, 76, 0, -96, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 84, 0, 0, 0, 72, 0, 0, 0, 0, 0, -56, 0, -64, 0, 0, 0, -196, 0, 16, 0, 0, 0, 12, 0, -50, 0, 0, 0, 56, 0, -18, 0, 0, 0, 0, 0, -114, 0, 0, 0, 28, 0, -38, 0, 0, 0, 116, 0, 0, 0, 0, 0, 30, 0, 54, 0, 0, 0, -48, 0, -20, 0, 0, 0, -36, 0, -90, 0, 0, 0, -78, 0, 68, 0, 0, 0, 0, 0, 52, 0, 0, 0, -88, 0, 252, 0, 0, 0, -48, 0, 0, 0, 0, 0, -76, 0, 36, 0, 0, 0, 192, 0, 112, 0, 0, 0, -48, 0, 130, 0, 0, 0, 172, 0, -82, 0, 0, 0, 0, 0, -20, 0, 0, 0, -56, 0, -8, 0, 0, 0, -136, 0, 0, 0, 0, 0, 250, 0, -32, 0, 0, 0, -32, 0, 140, 0, 0, 0, 72, 0, -16, 0, 0, 0, 22, 0, -136, 0, 0, 0, 0, 0, -22, 0, 0, 0, -16, 0, -100, 0, 0, 0, 40, 0, 0, 0, 0, 0, 126, 0, 204, 0, 0, 0, -176, 0, -102, 0, 0, 0, 34, 0, -106, 0, 0, 0, -136, 0, -16, 0, 0, 0, 0, 0, -158, 0, 0, 0, 96, 0, -52, 0, 0, 0, -132, 0, 0, 0, 0, 0, -76, 0, 6, 0, 0, 0, 48, 0, -12, 0, 0, 0, -68, 0, 64, 0, 0, 0, -2, 0, 156, 0, 0, 0, 0, 0, -52, 0, 0, 0, 8, 0, -78, 0, 0, 0, 8, 0, 0, 0, 0, 0, 84, 0, 92, 0, 0, 0, 272, 0, -16, 0, 0, 0, 152, 0, 46, 0, 0, 0, 252, 0, -70, 0, 0, 0, 0, 0, 72, 0, 0, 0, -128, 0, 96, 0, 0, 0, 144, 0, 0, 0, 0, 0, -18, 0, 54, 0, 0, 0, 60, 0, 36, 0, 0, 0, 354, 0, 10, 0, 0, 0, -58, 0, -64, 0, 0, 0, 0, 0, -2, 0, 0, 0, 52, 0, -156, 0, 0, 0, 48, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -208, 0, 104, 0, 0, 0, -24, 0, -178, 0, 0, 0, -200, 0, 80, 0, 0, 0, 0, 0, 186, 0, 0, 0, 136, 0, -4, 0, 0, 0, 172, 0, 0, 0, 0, 0, -306, 0, 6, 0, 0, 0, -48, 0, -48, 0, 0, 0, -354, 0, -68, 0, 0, 0, -38, 0, 160, 0, 0, 0, 0, 0, 74, 0, 0, 0, 64, 0, -196, 0, 0, 0, -132, 0, 0, 0, 0, 0, -148, 0, -320, 0, 0, 0, 232, 0, 80, 0, 0, 0, -168, 0, -162, 0, 0, 0, -14, 0, -114, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1329869
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '126.2.g.a', 'target_level': 126, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1329870
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '126.2.g.d', 'target_level': 126, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1329871
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.2.a.a', 'target_level': 882, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1329872
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '882.2.a.e', 'target_level': 882, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1329873
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '882.2.a.h', 'target_level': 882, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1329874
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '882.2.a.j', 'target_level': 882, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1329875
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '882.2.g.e', 'target_level': 882, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1329876
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '882.2.g.g', 'target_level': 882, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1329877
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1008.2.s.b', 'target_level': 1008, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1329878
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1008.2.s.o', 'target_level': 1008, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1329879
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1134.2.e.g', 'target_level': 1134, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '252.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 1329880
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1134.2.e.k', 'target_level': 1134, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '252.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1329881
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1134.2.h.f', 'target_level': 1134, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '252.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 1329882
{'conductor': 252, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1134.2.h.j', 'target_level': 1134, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '252.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1329883
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7056.2.a.e', 'target_level': 7056, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1329884
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '7056.2.a.h', 'target_level': 7056, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1329885
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '7056.2.a.bx', 'target_level': 7056, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1329886
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7056.2.a.by', 'source_level': 7056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '7056.2.a.by', 'target_level': 7056, 'twist_class_label': '126.2.g.a', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4366200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 2}
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id: 4366201
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 3}
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id: 4366202
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 5}
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id: 4366203
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 7}
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id: 4366204
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 11}
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id: 4366205
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 13}
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id: 4366206
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 17}
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id: 4366207
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 19}
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id: 4366208
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 23}
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id: 4366209
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 29}
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id: 4366210
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 31}
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id: 4366211
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 37}
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id: 4366212
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 41}
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id: 4366213
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 43}
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id: 4366214
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 47}
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id: 4366215
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 53}
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id: 4366216
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 59}
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id: 4366217
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 61}
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id: 4366218
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 67}
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id: 4366219
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 71}
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id: 4366220
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 73}
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id: 4366221
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 79}
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id: 4366222
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 83}
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id: 4366223
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 89}
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id: 4366224
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 225179981402086288, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '7056.2.a.by', 'level': 7056, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 71598847
{'hecke_orbit_code': 225179981402086288, 'n': 1, 'trace_an': 1}
-
id: 71598848
{'hecke_orbit_code': 225179981402086288, 'n': 2, 'trace_an': 0}
-
id: 71598849
{'hecke_orbit_code': 225179981402086288, 'n': 3, 'trace_an': 0}
-
id: 71598850
{'hecke_orbit_code': 225179981402086288, 'n': 4, 'trace_an': 0}
-
id: 71598851
{'hecke_orbit_code': 225179981402086288, 'n': 5, 'trace_an': 3}
-
id: 71598852
{'hecke_orbit_code': 225179981402086288, 'n': 6, 'trace_an': 0}
-
id: 71598853
{'hecke_orbit_code': 225179981402086288, 'n': 7, 'trace_an': 0}
-
id: 71598854
{'hecke_orbit_code': 225179981402086288, 'n': 8, 'trace_an': 0}
-
id: 71598855
{'hecke_orbit_code': 225179981402086288, 'n': 9, 'trace_an': 0}
-
id: 71598856
{'hecke_orbit_code': 225179981402086288, 'n': 10, 'trace_an': 0}
-
id: 71598857
{'hecke_orbit_code': 225179981402086288, 'n': 11, 'trace_an': 3}
-
id: 71598858
{'hecke_orbit_code': 225179981402086288, 'n': 12, 'trace_an': 0}
-
id: 71598859
{'hecke_orbit_code': 225179981402086288, 'n': 13, 'trace_an': 2}
-
id: 71598860
{'hecke_orbit_code': 225179981402086288, 'n': 14, 'trace_an': 0}
-
id: 71598861
{'hecke_orbit_code': 225179981402086288, 'n': 15, 'trace_an': 0}
-
id: 71598862
{'hecke_orbit_code': 225179981402086288, 'n': 16, 'trace_an': 0}
-
id: 71598863
{'hecke_orbit_code': 225179981402086288, 'n': 17, 'trace_an': 6}
-
id: 71598864
{'hecke_orbit_code': 225179981402086288, 'n': 18, 'trace_an': 0}
-
id: 71598865
{'hecke_orbit_code': 225179981402086288, 'n': 19, 'trace_an': -2}
-
id: 71598866
{'hecke_orbit_code': 225179981402086288, 'n': 20, 'trace_an': 0}
-
id: 71598867
{'hecke_orbit_code': 225179981402086288, 'n': 21, 'trace_an': 0}
-
id: 71598868
{'hecke_orbit_code': 225179981402086288, 'n': 22, 'trace_an': 0}
-
id: 71598869
{'hecke_orbit_code': 225179981402086288, 'n': 23, 'trace_an': 6}
-
id: 71598870
{'hecke_orbit_code': 225179981402086288, 'n': 24, 'trace_an': 0}
-
id: 71598871
{'hecke_orbit_code': 225179981402086288, 'n': 25, 'trace_an': 4}
-
id: 71598872
{'hecke_orbit_code': 225179981402086288, 'n': 26, 'trace_an': 0}
-
id: 71598873
{'hecke_orbit_code': 225179981402086288, 'n': 27, 'trace_an': 0}
-
id: 71598874
{'hecke_orbit_code': 225179981402086288, 'n': 28, 'trace_an': 0}
-
id: 71598875
{'hecke_orbit_code': 225179981402086288, 'n': 29, 'trace_an': 9}
-
id: 71598876
{'hecke_orbit_code': 225179981402086288, 'n': 30, 'trace_an': 0}
-
id: 71598877
{'hecke_orbit_code': 225179981402086288, 'n': 31, 'trace_an': 7}
-
id: 71598878
{'hecke_orbit_code': 225179981402086288, 'n': 32, 'trace_an': 0}
-
id: 71598879
{'hecke_orbit_code': 225179981402086288, 'n': 33, 'trace_an': 0}
-
id: 71598880
{'hecke_orbit_code': 225179981402086288, 'n': 34, 'trace_an': 0}
-
id: 71598881
{'hecke_orbit_code': 225179981402086288, 'n': 35, 'trace_an': 0}
-
id: 71598882
{'hecke_orbit_code': 225179981402086288, 'n': 36, 'trace_an': 0}
-
id: 71598883
{'hecke_orbit_code': 225179981402086288, 'n': 37, 'trace_an': -10}
-
id: 71598884
{'hecke_orbit_code': 225179981402086288, 'n': 38, 'trace_an': 0}
-
id: 71598885
{'hecke_orbit_code': 225179981402086288, 'n': 39, 'trace_an': 0}
-
id: 71598886
{'hecke_orbit_code': 225179981402086288, 'n': 40, 'trace_an': 0}
-
id: 71598887
{'hecke_orbit_code': 225179981402086288, 'n': 41, 'trace_an': 0}
-
id: 71598888
{'hecke_orbit_code': 225179981402086288, 'n': 42, 'trace_an': 0}
-
id: 71598889
{'hecke_orbit_code': 225179981402086288, 'n': 43, 'trace_an': 4}
-
id: 71598890
{'hecke_orbit_code': 225179981402086288, 'n': 44, 'trace_an': 0}
-
id: 71598891
{'hecke_orbit_code': 225179981402086288, 'n': 45, 'trace_an': 0}
-
id: 71598892
{'hecke_orbit_code': 225179981402086288, 'n': 46, 'trace_an': 0}
-
id: 71598893
{'hecke_orbit_code': 225179981402086288, 'n': 47, 'trace_an': -12}
-
id: 71598894
{'hecke_orbit_code': 225179981402086288, 'n': 48, 'trace_an': 0}
-
id: 71598895
{'hecke_orbit_code': 225179981402086288, 'n': 49, 'trace_an': 0}
-
id: 71598896
{'hecke_orbit_code': 225179981402086288, 'n': 50, 'trace_an': 0}
-
id: 71598897
{'hecke_orbit_code': 225179981402086288, 'n': 51, 'trace_an': 0}
-
id: 71598898
{'hecke_orbit_code': 225179981402086288, 'n': 52, 'trace_an': 0}
-
id: 71598899
{'hecke_orbit_code': 225179981402086288, 'n': 53, 'trace_an': -3}
-
id: 71598900
{'hecke_orbit_code': 225179981402086288, 'n': 54, 'trace_an': 0}
-
id: 71598901
{'hecke_orbit_code': 225179981402086288, 'n': 55, 'trace_an': 9}
-
id: 71598902
{'hecke_orbit_code': 225179981402086288, 'n': 56, 'trace_an': 0}
-
id: 71598903
{'hecke_orbit_code': 225179981402086288, 'n': 57, 'trace_an': 0}
-
id: 71598904
{'hecke_orbit_code': 225179981402086288, 'n': 58, 'trace_an': 0}
-
id: 71598905
{'hecke_orbit_code': 225179981402086288, 'n': 59, 'trace_an': 3}
-
id: 71598906
{'hecke_orbit_code': 225179981402086288, 'n': 60, 'trace_an': 0}
-
id: 71598907
{'hecke_orbit_code': 225179981402086288, 'n': 61, 'trace_an': -4}
-
id: 71598908
{'hecke_orbit_code': 225179981402086288, 'n': 62, 'trace_an': 0}
-
id: 71598909
{'hecke_orbit_code': 225179981402086288, 'n': 63, 'trace_an': 0}
-
id: 71598910
{'hecke_orbit_code': 225179981402086288, 'n': 64, 'trace_an': 0}
-
id: 71598911
{'hecke_orbit_code': 225179981402086288, 'n': 65, 'trace_an': 6}
-
id: 71598912
{'hecke_orbit_code': 225179981402086288, 'n': 66, 'trace_an': 0}
-
id: 71598913
{'hecke_orbit_code': 225179981402086288, 'n': 67, 'trace_an': -2}
-
id: 71598914
{'hecke_orbit_code': 225179981402086288, 'n': 68, 'trace_an': 0}
-
id: 71598915
{'hecke_orbit_code': 225179981402086288, 'n': 69, 'trace_an': 0}
-
id: 71598916
{'hecke_orbit_code': 225179981402086288, 'n': 70, 'trace_an': 0}
-
id: 71598917
{'hecke_orbit_code': 225179981402086288, 'n': 71, 'trace_an': 0}
-
id: 71598918
{'hecke_orbit_code': 225179981402086288, 'n': 72, 'trace_an': 0}
-
id: 71598919
{'hecke_orbit_code': 225179981402086288, 'n': 73, 'trace_an': 2}
-
id: 71598920
{'hecke_orbit_code': 225179981402086288, 'n': 74, 'trace_an': 0}
-
id: 71598921
{'hecke_orbit_code': 225179981402086288, 'n': 75, 'trace_an': 0}
-
id: 71598922
{'hecke_orbit_code': 225179981402086288, 'n': 76, 'trace_an': 0}
-
id: 71598923
{'hecke_orbit_code': 225179981402086288, 'n': 77, 'trace_an': 0}
-
id: 71598924
{'hecke_orbit_code': 225179981402086288, 'n': 78, 'trace_an': 0}
-
id: 71598925
{'hecke_orbit_code': 225179981402086288, 'n': 79, 'trace_an': -5}
-
id: 71598926
{'hecke_orbit_code': 225179981402086288, 'n': 80, 'trace_an': 0}
-
id: 71598927
{'hecke_orbit_code': 225179981402086288, 'n': 81, 'trace_an': 0}
-
id: 71598928
{'hecke_orbit_code': 225179981402086288, 'n': 82, 'trace_an': 0}
-
id: 71598929
{'hecke_orbit_code': 225179981402086288, 'n': 83, 'trace_an': -9}
-
id: 71598930
{'hecke_orbit_code': 225179981402086288, 'n': 84, 'trace_an': 0}
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