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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 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': [1050, 1, [701, 127, 451], [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': [[11, [-4, 1]], [13, [-2, 1]], [17, [2, 1]], [19, [4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425148954, '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': '1050.2.a.h', 'level': 1050, '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, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/1050/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.a', 'trace_display': [-1, 1, 0, -1], 'trace_hash': 1174187501442913648, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.093', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.286', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.749', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [1, -1, 1, 1, 0, -1, -1, -1, 1, 0, 4, 1, 2, 1, 0, 1, -2, -1, -4, 0, -1, -4, 8, -1, 0, -2, 1, -1, 6, 0, -8, -1, 4, 2, 0, 1, 2, 4, 2, 0, 2, 1, 12, 4, 0, -8, 8, 1, 1, 0, -2, 2, -6, -1, 0, 1, -4, -6, 4, 0, -2, 8, -1, 1, 0, -4, -12, -2, 8, 0, 8, -1, 14, -2, 0, -4, -4, -2, 0, 0, 1, -2, -12, -1, 0, -12, 6, -4, 2, 0, -2, 8, -8, -8, 0, -1, -10, -1, 4, 0, 6, 2, -8, -2, 0, 6, 20, 1, -2, 0, 2, -1, 14, 4, 0, 6, 2, -4, 2, 0, 5, 2, 2, -8, 0, 1, 0, -1, 12, 0, 12, 4, 4, 12, 0, 2, -10, -8, 20, 0, 8, -8, 8, 1, 0, -14, 1, 2, -18, 0, 8, 4, -2, 4, 0, 2, -14, 0, -6, 0, -8, -1, -12, 2, 0, 12, 16, 1, -9, 0, -4, 12, -14, -6, 0, 4, 4, -2, -20, 0, -10, 2, -2, -8, 0, 8, -8, 8, -1, 0, -16, 1, 14, 10, 0, 1, -6, -4, -16, 0, -12, -6, -6, -2, 0, 8, 8, 2, -16, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [-1], [-1], [1], [0], [4], [1], [2], [1], [0], [1], [-2], [-1], [-4], [0], [-1], [-4], [8], [-1], [0], [-2], [1], [-1], [6], [0], [-8], [-1], [4], [2], [0], [1], [2], [4], [2], [0], [2], [1], [12], [4], [0], [-8], [8], [1], [1], [0], [-2], [2], [-6], [-1], [0], [1], [-4], [-6], [4], [0], [-2], [8], [-1], [1], [0], [-4], [-12], [-2], [8], [0], [8], [-1], [14], [-2], [0], [-4], [-4], [-2], [0], [0], [1], [-2], [-12], [-1], [0], [-12], [6], [-4], [2], [0], [-2], [8], [-8], [-8], [0], [-1], [-10], [-1], [4], [0]], 'ap': [[-1], [1], [0], [-1], [4], [2], [-2], [-4], [8], [6], [-8], [2], [2], [12], [8], [-6], [4], [-2], [-12], [8], [14], [0], [-12], [2], [-10], [6], [-8], [20], [-2], [14], [0], [12], [-10], [20], [-18], [8], [-14], [-12], [16], [-14], [-20], [-10], [-16], [14], [-6], [-16], [20], [0], [-12], [-26], [-10], [-16], [18], [4], [-2], [-24], [30], [-24], [-14], [10], [-20], [-6], [4], [8], [-34], [-14], [28], [-2], [-12], [-34], [-18], [-8], [32], [-14], [28], [-24], [-18], [2], [18], [10], [12], [-26], [0], [6], [32], [4], [-14], [38], [-34], [16], [20], [0], [24], [36], [4], [-16], [14], [-30], [28], [14], [-28], [2], [36], [-6], [-20], [-26], [12], [-18], [8], [-22], [0], [34], [-10], [-44], [24], [-30], [20], [32], [34], [28], [-10], [-2], [-6], [4], [-20], [6], [-26], [0], [24], [-30], [36], [-24], [-32], [34], [2], [-14], [26], [4], [-30], [-38], [36], [46], [8], [-12], [-34], [-24], [26], [22], [-28], [0], [10], [42], [-28], [-16], [12], [48], [-8], [10], [-18], [-18], [12], [6], [8], [36], [-18], [-32], [-32], [-38], [50], [42], [4], [62], [56], [-26], [-40], [-14], [-52], [-18], [-8], [-18], [-64], [28], [50], [22], [-16], [38], [26], [4], [-22], [-16], [-26], [-44], [4], [-50], [12], [54], [-46], [-22], [30], [48], [54], [24], [10], [-30], [-28], [2], [-24], [60], [10], [-12], [14], [-42], [-40], [12], [24], [58], [-32], [-22], [-8], [50], [-58], [48], [18], [-16], [-44], [22], [-26], [0], [-40], [-12], [26], [44], [-48], [-54], [76], [-56], [34], [10], [-44], [-40], [-36], [4], [-72], [-34], [-2], [40], [-32], [12], [-68], [-48], [-22], [42], [24], [26], [18], [12], [38], [-36], [-6], [-2], [-16], [44], [-26], [2], [62], [12], [54], [-30], [-20], [-54], [-50], [20], [78], [0], [-42], [-8], [-76], [14], [10], [28], [-24], [-40], [16], [-26], [28], [0], [-2], [58], [-80], [-6], [22], [68], [-26], [-12], [-54], [46], [-40], [42], [4], [-28], [-2], [2], [-64], [76], [44], [-2], [36], [-18], [-24], [34], [24], [62], [-30], [36], [-72], [42], [-36], [64], [-58], [-30], [28], [6], [30], [-64], [-74], [-14], [52], [-36], [48], [-6], [-18], [18], [56], [-28], [-4], [60], [-2], [-18], [-22], [80], [-46], [-58], [-10], [-8], [-46], [-68], [6], [-52], [-64], [-22], [-20], [38], [38], [32], [6], [-74], [-48], [68], [78], [8], [-30], [2], [48], [20], [-12], [-58], [-14], [24], [58], [-20], [-12], [64], [62], [-16], [10], [-68], [-80], [70], [10], [78], [46], [54], [-8], [-98], [44], [16], [-64], [-22], [-4], [72], [34], [58], [68], [20], [-56], [38], [24], [-46], [92], [-18], [94], [-2], [32], [-90], [54], [64], [-6], [34], [-60], [28], [6], [-22], [-12], [-44], [6], [-2], [48], [56], [-18], [-64], [-26], [-6], [-48], [36], [-50], [18], [-20], [42], [52], [-72]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425148954, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1050.2.a.h', 'level': 1050, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [9, 13, 15, 12, 13, 14, 11, 12, 13, 12, 13, 13, 15, 10, 11, 13], 'Nk2': 4200, 'analytic_conductor': 8.38429221223444, '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': [1050, 1, [701, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 217, 'dim': 18, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19], 'hecke_orbit_code': 33555482, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'label': '1050.2.a', 'level': 1050, '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, 5, 7], 'level_radical': 210, 'mf_dim': 264, 'mf_new_dim': 18, 'num_forms': 18, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 18, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [-2, 0, 0, 0], 'traces': [18, -2, 0, 18, 0, 0, 0, -2, 18, 0, 8, 0, -4, 0, 0, 18, 12, -2, 0, 0, -2, 0, 16, 0, 0, 36, 0, 0, 28, 0, 16, -2, 0, 20, 0, 18, 12, 16, -8, 0, 52, 2, 8, 8, 0, -8, 16, 0, 18, 0, 8, -4, -12, 0, 0, 0, -16, 20, -16, 0, 20, 0, 0, 18, 0, 0, -8, 12, 0, 0, -32, -2, -4, 28, 0, 0, -16, 8, -32, 0, 18, -4, -16, -2, 0, -8, 16, 0, -12, 0, 0, 16, -8, 0, 0, 0, -4, -2, 8, 0, 4, 8, 16, 36, 0, 20, -24, 0, -4, 0, -32, 0, -20, -8, 0, 28, -4, -16, 0, 0, -22, -36, 0, 16, 0, 0, -16, -2, -32, 0, -48, 0, 0, -56, 0, 20, -36, 16, -32, 0, -16, -8, 16, 18, 0, -12, 0, 12, -4, 0, -48, 16, 12, -16, 0, -8, 44, 0, 16, 0, -16, -2, -72, 52, 0, -48, 32, 2, 6, 0, 0, 8, -36, -16, 0, 8, 24, -4, -8, 0, -28, 8, -8, -8, 0, -8, -16, 16, -2, 0, -80, 0, 20, -12, 0, 18, 20, 0, -96, 0, -16, -4, 0, 8, 0, -64, 16, -4, -96, 0, -96, 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-20, 20, 0, -64, -16, 0, -32, 0, -150, 40, -24, -92, 0, 48, -48, -10, 64, 0, -96, 0, -16, 64, 0, 20, -84, 32, -176, 0, -4, -16, 0, -32, 0, -88, 0, 16, -48, 0, -192, 0, 64, 0, 0, -32, -116, 104, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 629824
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '210.2.a.c', 'target_level': 210, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629825
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '630.2.a.b', 'target_level': 630, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 629826
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1050.2.a.h', 'target_level': 1050, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 629827
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.g.d', 'target_level': 1050, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 629828
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1470.2.a.q', 'target_level': 1470, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 629829
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1470.2.i.b', 'target_level': 1470, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 629830
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1470.2.i.f', 'target_level': 1470, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 629831
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1680.2.a.q', 'target_level': 1680, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 629832
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3150.2.a.w', 'target_level': 3150, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629833
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3150.2.g.e', 'target_level': 3150, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 629834
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4410.2.a.l', 'target_level': 4410, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 629835
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '5040.2.a.i', 'target_level': 5040, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 629836
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6720.2.a.k', 'target_level': 6720, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 629837
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '6720.2.a.bp', 'target_level': 6720, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 629838
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7350.2.a.p', 'target_level': 7350, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629839
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1050.2.a.h', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '8400.2.a.p', 'target_level': 8400, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1630975
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 2}
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id: 1630976
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 3}
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id: 1630977
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 5}
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id: 1630978
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 7}
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id: 1630979
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 11}
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id: 1630980
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 13}
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id: 1630981
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 17}
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id: 1630982
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 19}
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id: 1630983
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 23}
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id: 1630984
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 29}
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id: 1630985
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 31}
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id: 1630986
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 37}
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id: 1630987
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 41}
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id: 1630988
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 43}
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id: 1630989
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 47}
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id: 1630990
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 53}
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id: 1630991
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 59}
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id: 1630992
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 61}
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id: 1630993
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 67}
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id: 1630994
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 71}
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id: 1630995
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 73}
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id: 1630996
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 79}
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id: 1630997
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 83}
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id: 1630998
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 89}
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id: 1630999
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 31525197425148954, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '1050.2.a.h', 'level': 1050, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47862331
{'hecke_orbit_code': 31525197425148954, 'n': 1, 'trace_an': 1}
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id: 47862332
{'hecke_orbit_code': 31525197425148954, 'n': 2, 'trace_an': -1}
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id: 47862535
{'hecke_orbit_code': 31525197425148954, 'n': 647, 'trace_an': 32}
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id: 47862536
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id: 47862537
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id: 47862540
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id: 47862541
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id: 47862542
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id: 47862543
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id: 47862544
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id: 47862545
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id: 47862546
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id: 47862547
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id: 47862548
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id: 47862549
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id: 47862550
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id: 47862551
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id: 47862552
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id: 47862553
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id: 47862554
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id: 47862555
{'hecke_orbit_code': 31525197425148954, 'n': 773, 'trace_an': 26}
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id: 47862556
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id: 47862557
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id: 47862558
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id: 47862559
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id: 47862560
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id: 47862561
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id: 47862562
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id: 47862563
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id: 47862564
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id: 47862565
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id: 47862570
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id: 47862575
{'hecke_orbit_code': 31525197425148954, 'n': 911, 'trace_an': 48}
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id: 47862576
{'hecke_orbit_code': 31525197425148954, 'n': 919, 'trace_an': -8}
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id: 47862577
{'hecke_orbit_code': 31525197425148954, 'n': 929, 'trace_an': 10}
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id: 47862579
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id: 47862580
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id: 47862581
{'hecke_orbit_code': 31525197425148954, 'n': 953, 'trace_an': 6}
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id: 47862582
{'hecke_orbit_code': 31525197425148954, 'n': 961, 'trace_an': 33}
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id: 47862583
{'hecke_orbit_code': 31525197425148954, 'n': 967, 'trace_an': 8}
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id: 47862584
{'hecke_orbit_code': 31525197425148954, 'n': 971, 'trace_an': 36}
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id: 47862585
{'hecke_orbit_code': 31525197425148954, 'n': 977, 'trace_an': -18}
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id: 47862586
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id: 47862587
{'hecke_orbit_code': 31525197425148954, 'n': 991, 'trace_an': -32}
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id: 47862588
{'hecke_orbit_code': 31525197425148954, 'n': 997, 'trace_an': -38}