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mf_newforms • Show schema
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{'Nk2': 14592, 'analytic_conductor': 29.129426657363084, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [19, -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': [3648, 1, [2623, 2053, 1217, 1921], [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, [1, 1]], [7, [-3, 1]], [11, [-3, 1]], [23, [-4, 1]], [31, [-2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425151552, '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': '3648.2.a.h', 'level': 3648, '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, 19], 'level_radical': 114, 'minimal_twist': '57.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}+3q^{7}+q^{9}+3q^{11}+6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3648/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3648.2.a', 'trace_display': [0, -1, -1, 3], 'trace_hash': 785069171416349240, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.099', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.953', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 0, -1, 0, -1, 0, 3, 0, 1, 0, 3, 0, 6, 0, 1, 0, 3, 0, 1, 0, -3, 0, 4, 0, -4, 0, -1, 0, 10, 0, 2, 0, -3, 0, -3, 0, -8, 0, -6, 0, -8, 0, 1, 0, -1, 0, 3, 0, 2, 0, -3, 0, 6, 0, -3, 0, -1, 0, 0, 0, -7, 0, 3, 0, -6, 0, -8, 0, -4, 0, 12, 0, -11, 0, 4, 0, 9, 0, 0, 0, 1, 0, -4, 0, -3, 0, -10, 0, 10, 0, 18, 0, -2, 0, -1, 0, -2, 0, 3, 0, -2, 0, 14, 0, 3, 0, 2, 0, -20, 0, 8, 0, -6, 0, -4, 0, 6, 0, 9, 0, -2, 0, 8, 0, 9, 0, -2, 0, -1, 0, 13, 0, 3, 0, 1, 0, 3, 0, 5, 0, -3, 0, 18, 0, -10, 0, -2, 0, -15, 0, -8, 0, 3, 0, -2, 0, 2, 0, -6, 0, 12, 0, 16, 0, 3, 0, 18, 0, 23, 0, 1, 0, -14, 0, -12, 0, 0, 0, 10, 0, -2, 0, 7, 0, 8, 0, 9, 0, -3, 0, -3, 0, 4, 0, 6, 0, 2, 0, -5, 0, 8, 0, 30, 0, 8, 0, 4, 0, 3, 0, 28, 0, -12, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [-1], [0], [3], [0], [1], [0], [3], [0], [6], [0], [1], [0], [3], [0], [1], [0], [-3], [0], [4], [0], [-4], [0], [-1], [0], [10], [0], [2], [0], [-3], [0], [-3], [0], [-8], [0], [-6], [0], [-8], [0], [1], [0], [-1], [0], [3], [0], [2], [0], [-3], [0], [6], [0], [-3], [0], [-1], [0], [0], [0], [-7], [0], [3], [0], [-6], [0], [-8], [0], [-4], [0], [12], [0], [-11], [0], [4], [0], [9], [0], [0], [0], [1], [0], [-4], [0], [-3], [0], [-10], [0], [10], [0], [18], [0], [-2], [0], [-1], [0], [-2], [0], [3], [0]], 'ap': [[0], [-1], [-1], [3], [3], [6], [3], [1], [4], [10], [2], [-8], [-8], [1], [3], [6], [0], [-7], [-8], [12], [-11], [0], [-4], [10], [-2], [-2], [14], [2], [-20], [-6], [-2], [13], [3], [5], [-15], [-8], [2], [16], [18], [-14], [10], [-2], [-3], [4], [2], [-5], [28], [4], [-18], [15], [-11], [-15], [12], [-27], [8], [-21], [30], [12], [-13], [2], [-19], [-4], [12], [7], [14], [12], [-12], [-22], [-3], [-25], [14], [25], [8], [16], [30], [14], [15], [7], [-28], [10], [-20], [-2], [-18], [-26], [10], [-39], [-20], [3], [33], [-31], [17], [-40], [8], [8], [35], [24], [10], [-28], [-14], [13], [2], [-3], [-44], [30], [-32], [3], [37], [-6], [0], [-8], [18], [-9], [23], [-20], [7], [2], [1], [-27], [1], [-10], [-12], [-16], [22], [6], [-17], [-42], [10], [-35], [-7], [-34], [45], [24], [-8], [-23], [-13], [-45], [36], [-8], [12], [5], [-2], [33], [19], [52], [-20], [30], [-34], [48], [-35], [44], [22], [7], [21], [-52], [2], [2], [-40], [-50], [53], [-2], [-28], [-16], [-32], [-12], [-42], [4], [-8], [7], [60], [-39], [20], [-22], [-8], [-26], [-10], [25], [-52], [-7], [-36], [45], [53], [-42], [46], [48], [9], [25], [-18], [-44], [-10], [32], [34], [11], [-22], [8], [12], [-26], [-43], [-34], [18], [59], [-40], [32], [-48], [-10], [-60], [57], [-35], [56], [-25], [38], [-2], [18], [-61], [12], [30], [32], [8], [-48], [18], [51], [8], [40], [-30], [9], [32], [-35], [-36], [-60], [8], [-57], [-39], [-30], [22], [12], [71], [73], [5], [-49], [-60], [12], [6], [3], [4], [40], [14], [55], [73], [28], [-40], [-41], [22], [17], [28], [0], [-9], [-60], [-37], [62], [12], [18], [-16], [-8], [25], [66], [-27], [30], [10], [-43], [-64], [11], [-42], [32], [-11], [-45], [-72], [64], [27], [30], [12], [63], [-36], [-8], [63], [68], [-3], [-3], [59], [-78], [-25], [-50], [38], [27], [34], [-12], [16], [-30], [52], [-49], [30], [7], [-31], [-78], [-5], [-74], [-57], [78], [72], [-10], [45], [-34], [49], [10], [32], [56], [48], [-70], [45], [-38], [59], [-25], [-32], [13], [-82], [-86], [-66], [12], [70], [-4], [-72], [61], [-67], [-78], [-40], [51], [-87], [37], [-50], [34], [7], [8], [56], [43], [90], [32], [-4], [-50], [78], [-58], [-78], [-43], [58], [-52], [-57], [-6], [-40], [-6], [0], [-52], [3], [-6], [67], [42], [-12], [-60], [-13], [74], [22], [14], [-78], [-92], [-70], [19], [0], [-93], [47], [-10], [-8], [-41], [-15], [8], [78], [-51], [-47], [33], [10], [14], [-8], [22], [-89], [-42], [100], [-54], [80], [67], [-88], [-66], [80], [90], [78], [-62], [0], [-91], [-22], [-42], [60], [17], [-33], [72], [-54], [-55], [-86], [-53], [66], [-77], [-62], [-42], [-70], [88], [-62], [74], [0], [82], [-17], [-30], [24], [-78], [-14], [-75], [-7], [15]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425151552, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3648.2.a.h', 'level': 3648, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 8, 11, 6, 9, 10, 7, 12], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [66, 70, 69, 70, 71, 66, 67, 66], 'Nk2': 14592, 'analytic_conductor': 29.129426657363084, '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': [3648, 1, [2623, 2053, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 617, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 23, 31], 'hecke_orbit_code': 33558080, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '3648.2.a', 'level': 3648, '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, 19], 'level_radical': 114, 'mf_dim': 664, 'mf_new_dim': 72, 'num_forms': 52, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1280, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 72, 0, 0, 0, -48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 88, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 88, 0, 0, 0, 128, 0, 0, 0, -80, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -144, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 72, 0, 0, 0, 320, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, -80, 0, 0, 0, -288, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 8, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -256, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -256, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, -336, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -208, 0, 0, 0, -384, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, 72, 0, 0, 0, -16, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -48, 0, 0, 0, 80, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 288, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, -144, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, 320, 0, 0, 0, -336, 0, 0, 0, 192, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -480, 0, 0, 0, -128, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, 0, -240, 0, 0, 0, 96, 0, 0, 0, 384, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 112, 0, 0, 0, -288, 0, 0, 0, 32, 0, 0, 0, -256, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 144, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1132558
{'conductor': 8, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '57.2.a.b', 'target_level': 57, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1132559
{'conductor': 24, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '171.2.a.c', 'target_level': 171, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1132560
{'conductor': 8, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '912.2.a.d', 'target_level': 912, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1132561
{'conductor': 152, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1083.2.a.d', 'target_level': 1083, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '152.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1132562
{'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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1425.2.a.i', 'target_level': 1425, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1132563
{'conductor': 40, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1425.2.c.a', 'target_level': 1425, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1132564
{'conductor': 24, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2736.2.a.h', 'target_level': 2736, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1132565
{'conductor': 56, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2793.2.a.a', 'target_level': 2793, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1132566
{'conductor': 456, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3249.2.a.a', 'target_level': 3249, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '456.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1132567
{'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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3648.2.a.h', 'target_level': 3648, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1132568
{'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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3648.2.a.y', 'target_level': 3648, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1132569
{'conductor': 120, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4275.2.a.a', 'target_level': 4275, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1132570
{'conductor': 88, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6897.2.a.g', 'target_level': 6897, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1132571
{'conductor': 168, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '8379.2.a.q', 'target_level': 8379, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1132572
{'conductor': 104, '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': '3648.2.a.h', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '9633.2.a.p', 'target_level': 9633, 'twist_class_label': '57.2.a.b', 'twist_class_level': 57, 'twisting_char_label': '104.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3289675
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 2}
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id: 3289676
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 3}
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id: 3289677
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 5}
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id: 3289678
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 7}
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id: 3289679
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 11}
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id: 3289680
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 13}
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id: 3289681
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 17}
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id: 3289682
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 19}
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id: 3289683
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 23}
-
id: 3289684
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 29}
-
id: 3289685
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 31}
-
id: 3289686
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 37}
-
id: 3289687
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 41}
-
id: 3289688
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 43}
-
id: 3289689
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 47}
-
id: 3289690
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 53}
-
id: 3289691
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 59}
-
id: 3289692
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 61}
-
id: 3289693
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 67}
-
id: 3289694
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 71}
-
id: 3289695
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 73}
-
id: 3289696
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 79}
-
id: 3289697
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 83}
-
id: 3289698
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 89}
-
id: 3289699
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425151552, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '3648.2.a.h', 'level': 3648, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 48227143
{'hecke_orbit_code': 31525197425151552, 'n': 1, 'trace_an': 1}
-
id: 48227144
{'hecke_orbit_code': 31525197425151552, 'n': 2, 'trace_an': 0}
-
id: 48227145
{'hecke_orbit_code': 31525197425151552, 'n': 3, 'trace_an': -1}
-
id: 48227146
{'hecke_orbit_code': 31525197425151552, 'n': 4, 'trace_an': 0}
-
id: 48227147
{'hecke_orbit_code': 31525197425151552, 'n': 5, 'trace_an': -1}
-
id: 48227148
{'hecke_orbit_code': 31525197425151552, 'n': 6, 'trace_an': 0}
-
id: 48227149
{'hecke_orbit_code': 31525197425151552, 'n': 7, 'trace_an': 3}
-
id: 48227150
{'hecke_orbit_code': 31525197425151552, 'n': 8, 'trace_an': 0}
-
id: 48227151
{'hecke_orbit_code': 31525197425151552, 'n': 9, 'trace_an': 1}
-
id: 48227152
{'hecke_orbit_code': 31525197425151552, 'n': 10, 'trace_an': 0}
-
id: 48227153
{'hecke_orbit_code': 31525197425151552, 'n': 11, 'trace_an': 3}
-
id: 48227154
{'hecke_orbit_code': 31525197425151552, 'n': 12, 'trace_an': 0}
-
id: 48227155
{'hecke_orbit_code': 31525197425151552, 'n': 13, 'trace_an': 6}
-
id: 48227156
{'hecke_orbit_code': 31525197425151552, 'n': 14, 'trace_an': 0}
-
id: 48227157
{'hecke_orbit_code': 31525197425151552, 'n': 15, 'trace_an': 1}
-
id: 48227158
{'hecke_orbit_code': 31525197425151552, 'n': 16, 'trace_an': 0}
-
id: 48227159
{'hecke_orbit_code': 31525197425151552, 'n': 17, 'trace_an': 3}
-
id: 48227160
{'hecke_orbit_code': 31525197425151552, 'n': 18, 'trace_an': 0}
-
id: 48227161
{'hecke_orbit_code': 31525197425151552, 'n': 19, 'trace_an': 1}
-
id: 48227162
{'hecke_orbit_code': 31525197425151552, 'n': 20, 'trace_an': 0}
-
id: 48227163
{'hecke_orbit_code': 31525197425151552, 'n': 21, 'trace_an': -3}
-
id: 48227164
{'hecke_orbit_code': 31525197425151552, 'n': 22, 'trace_an': 0}
-
id: 48227165
{'hecke_orbit_code': 31525197425151552, 'n': 23, 'trace_an': 4}
-
id: 48227166
{'hecke_orbit_code': 31525197425151552, 'n': 24, 'trace_an': 0}
-
id: 48227167
{'hecke_orbit_code': 31525197425151552, 'n': 25, 'trace_an': -4}
-
id: 48227168
{'hecke_orbit_code': 31525197425151552, 'n': 26, 'trace_an': 0}
-
id: 48227169
{'hecke_orbit_code': 31525197425151552, 'n': 27, 'trace_an': -1}
-
id: 48227170
{'hecke_orbit_code': 31525197425151552, 'n': 28, 'trace_an': 0}
-
id: 48227171
{'hecke_orbit_code': 31525197425151552, 'n': 29, 'trace_an': 10}
-
id: 48227172
{'hecke_orbit_code': 31525197425151552, 'n': 30, 'trace_an': 0}
-
id: 48227173
{'hecke_orbit_code': 31525197425151552, 'n': 31, 'trace_an': 2}
-
id: 48227174
{'hecke_orbit_code': 31525197425151552, 'n': 32, 'trace_an': 0}
-
id: 48227175
{'hecke_orbit_code': 31525197425151552, 'n': 33, 'trace_an': -3}
-
id: 48227176
{'hecke_orbit_code': 31525197425151552, 'n': 34, 'trace_an': 0}
-
id: 48227177
{'hecke_orbit_code': 31525197425151552, 'n': 35, 'trace_an': -3}
-
id: 48227178
{'hecke_orbit_code': 31525197425151552, 'n': 36, 'trace_an': 0}
-
id: 48227179
{'hecke_orbit_code': 31525197425151552, 'n': 37, 'trace_an': -8}
-
id: 48227180
{'hecke_orbit_code': 31525197425151552, 'n': 38, 'trace_an': 0}
-
id: 48227181
{'hecke_orbit_code': 31525197425151552, 'n': 39, 'trace_an': -6}
-
id: 48227182
{'hecke_orbit_code': 31525197425151552, 'n': 40, 'trace_an': 0}
-
id: 48227183
{'hecke_orbit_code': 31525197425151552, 'n': 41, 'trace_an': -8}
-
id: 48227184
{'hecke_orbit_code': 31525197425151552, 'n': 42, 'trace_an': 0}
-
id: 48227185
{'hecke_orbit_code': 31525197425151552, 'n': 43, 'trace_an': 1}
-
id: 48227186
{'hecke_orbit_code': 31525197425151552, 'n': 44, 'trace_an': 0}
-
id: 48227187
{'hecke_orbit_code': 31525197425151552, 'n': 45, 'trace_an': -1}
-
id: 48227188
{'hecke_orbit_code': 31525197425151552, 'n': 46, 'trace_an': 0}
-
id: 48227189
{'hecke_orbit_code': 31525197425151552, 'n': 47, 'trace_an': 3}
-
id: 48227190
{'hecke_orbit_code': 31525197425151552, 'n': 48, 'trace_an': 0}
-
id: 48227191
{'hecke_orbit_code': 31525197425151552, 'n': 49, 'trace_an': 2}
-
id: 48227192
{'hecke_orbit_code': 31525197425151552, 'n': 50, 'trace_an': 0}
-
id: 48227193
{'hecke_orbit_code': 31525197425151552, 'n': 51, 'trace_an': -3}
-
id: 48227194
{'hecke_orbit_code': 31525197425151552, 'n': 52, 'trace_an': 0}
-
id: 48227195
{'hecke_orbit_code': 31525197425151552, 'n': 53, 'trace_an': 6}
-
id: 48227196
{'hecke_orbit_code': 31525197425151552, 'n': 54, 'trace_an': 0}
-
id: 48227197
{'hecke_orbit_code': 31525197425151552, 'n': 55, 'trace_an': -3}
-
id: 48227198
{'hecke_orbit_code': 31525197425151552, 'n': 56, 'trace_an': 0}
-
id: 48227199
{'hecke_orbit_code': 31525197425151552, 'n': 57, 'trace_an': -1}
-
id: 48227200
{'hecke_orbit_code': 31525197425151552, 'n': 58, 'trace_an': 0}
-
id: 48227201
{'hecke_orbit_code': 31525197425151552, 'n': 59, 'trace_an': 0}
-
id: 48227202
{'hecke_orbit_code': 31525197425151552, 'n': 60, 'trace_an': 0}
-
id: 48227203
{'hecke_orbit_code': 31525197425151552, 'n': 61, 'trace_an': -7}
-
id: 48227204
{'hecke_orbit_code': 31525197425151552, 'n': 62, 'trace_an': 0}
-
id: 48227205
{'hecke_orbit_code': 31525197425151552, 'n': 63, 'trace_an': 3}
-
id: 48227206
{'hecke_orbit_code': 31525197425151552, 'n': 64, 'trace_an': 0}
-
id: 48227207
{'hecke_orbit_code': 31525197425151552, 'n': 65, 'trace_an': -6}
-
id: 48227208
{'hecke_orbit_code': 31525197425151552, 'n': 66, 'trace_an': 0}
-
id: 48227209
{'hecke_orbit_code': 31525197425151552, 'n': 67, 'trace_an': -8}
-
id: 48227210
{'hecke_orbit_code': 31525197425151552, 'n': 68, 'trace_an': 0}
-
id: 48227211
{'hecke_orbit_code': 31525197425151552, 'n': 69, 'trace_an': -4}
-
id: 48227212
{'hecke_orbit_code': 31525197425151552, 'n': 70, 'trace_an': 0}
-
id: 48227213
{'hecke_orbit_code': 31525197425151552, 'n': 71, 'trace_an': 12}
-
id: 48227214
{'hecke_orbit_code': 31525197425151552, 'n': 72, 'trace_an': 0}
-
id: 48227215
{'hecke_orbit_code': 31525197425151552, 'n': 73, 'trace_an': -11}
-
id: 48227216
{'hecke_orbit_code': 31525197425151552, 'n': 74, 'trace_an': 0}
-
id: 48227217
{'hecke_orbit_code': 31525197425151552, 'n': 75, 'trace_an': 4}
-
id: 48227218
{'hecke_orbit_code': 31525197425151552, 'n': 76, 'trace_an': 0}
-
id: 48227219
{'hecke_orbit_code': 31525197425151552, 'n': 77, 'trace_an': 9}
-
id: 48227220
{'hecke_orbit_code': 31525197425151552, 'n': 78, 'trace_an': 0}
-
id: 48227221
{'hecke_orbit_code': 31525197425151552, 'n': 79, 'trace_an': 0}
-
id: 48227222
{'hecke_orbit_code': 31525197425151552, 'n': 80, 'trace_an': 0}
-
id: 48227223
{'hecke_orbit_code': 31525197425151552, 'n': 81, 'trace_an': 1}
-
id: 48227224
{'hecke_orbit_code': 31525197425151552, 'n': 82, 'trace_an': 0}
-
id: 48227225
{'hecke_orbit_code': 31525197425151552, 'n': 83, 'trace_an': -4}
-
id: 48227226
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