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{'Nk2': 25920, 'analytic_conductor': 51.743060509789686, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -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': [6480, 1, [2431, 1621, 6401, 1297], [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': [[7, [-3, 1]], [11, [2, 1]], [13, [2, 1]], [17, [4, 1]], [19, [-8, 1]], [23, [-3, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463082320, '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': '6480.2.a.x', 'level': 6480, '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], 'level_radical': 30, 'minimal_twist': '45.2.e.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+3q^{7}-2q^{11}-2q^{13}-4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/6480/x'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6480.2.a', 'trace_display': [0, 0, 1, 3], 'trace_hash': 453543595953079932, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.961', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [1], [0], [3], [0], [0], [0], [-2], [0], [-2], [0], [0], [0], [-4], [0], [8], [0], [0], [0], [3], [0], [1], [0], [0], [0], [1], [0], [0], [0], [0], [0], [3], [0], [-4], [0], [0], [0], [-5], [0], [8], [0], [0], [0], [7], [0], [2], [0], [0], [0], [2], [0], [-2], [0], [0], [0], [-14], [0], [7], [0], [0], [0], [-2], [0], [3], [0], [0], [0], [2], [0], [4], [0], [0], [0], [-6], [0], [6], [0], [0], [0], [9], [0], [-4], [0], [0], [0], [15], [0], [-6], [0], [0], [0], [8], [0], [2], [0], [0], [0]], 'ap': [[0], [0], [1], [3], [-2], [-2], [-4], [8], [3], [1], [0], [-4], [-5], [8], [7], [2], [-14], [7], [3], [2], [4], [6], [9], [15], [2], [18], [-8], [3], [5], [8], [5], [-6], [-12], [16], [-17], [2], [14], [4], [-9], [0], [-2], [-7], [8], [-10], [12], [-4], [22], [19], [-4], [15], [-24], [-8], [-11], [0], [6], [-16], [-25], [8], [12], [15], [-21], [-12], [-7], [0], [14], [34], [6], [-8], [4], [-5], [-24], [24], [-24], [10], [26], [36], [-33], [34], [18], [14], [26], [34], [-30], [28], [-28], [15], [26], [-20], [-9], [36], [20], [-18], [16], [20], [32], [-7], [-43], [-11], [29], [-39], [29], [30], [-21], [6], [-32], [-10], [-33], [-20], [-10], [2], [41], [-44], [36], [4], [-16], [-33], [9], [-17], [4], [-8], [-14], [6], [42], [12], [14], [-23], [-41], [6], [-23], [-34], [2], [-29], [-10], [-26], [-15], [5], [24], [-28], [-26], [-26], [42], [-15], [-53], [37], [-3], [-40], [-54], [-10], [-22], [17], [-18], [35], [-23], [36], [51], [-50], [-10], [-14], [0], [7], [57], [26], [-41], [-36], [38], [3], [-26], [-18], [-19], [-8], [12], [-23], [-18], [12], [-28], [30], [36], [-54], [49], [49], [-8], [44], [-8], [22], [-3], [-31], [12], [11], [-25], [-38], [-50], [-29], [-24], [-7], [33], [-14], [-59], [36], [12], [-1], [-18], [-30], [-48], [-11], [0], [66], [-62], [-11], [15], [28], [-46], [58], [15], [28], [42], [-7], [-25], [18], [59], [36], [31], [-26], [-45], [-31], [5], [-22], [0], [-58], [-7], [36], [18], [-46], [22], [-25], [-23], [45], [15], [46], [-36], [42], [-51], [-6], [-49], [3], [-12], [-56], [7], [28], [-32], [-5], [76], [29], [-24], [51], [-80], [-60], [-2], [-17], [0], [-64], [-61], [41], [-70], [42], [42], [14], [-58], [-23], [1], [38], [50], [-19], [-4], [18], [12], [-41], [-39], [-30], [45], [42], [56], [38], [-40], [-75], [-15], [-60], [82], [-48], [4], [-63], [-26], [-52], [-24], [12], [-64], [63], [-14], [12], [6], [-44], [-48], [32], [44], [-36], [-10], [-82], [-9], [-37], [-60], [24], [0], [-75], [90], [31], [-40], [-59], [-54], [18], [-54], [-6], [4], [38], [14], [-16], [-54], [13], [4], [-49], [-69], [26], [15], [-4], [-44], [-4], [58], [-7], [65], [76], [5], [-48], [-44], [-20], [-33], [-6], [-64], [-12], [-10], [-43], [30], [-20], [6], [54], [1], [-31], [3], [84], [8], [60], [60], [13], [-8], [-7], [96], [22], [52], [64], [-30], [51], [2], [12], [-48], [31], [99], [-84], [52], [-14], [-12], [-52], [-27], [100], [-17], [-6], [5], [-26], [72], [88], [-68], [-28], [-45], [-51], [27], [14], [-86], [28], [22], [74], [94], [54], [50], [-18], [1], [-66], [32], [-92], [31], [50], [68], [1], [-21], [-42], [-84], [48], [-5], [48], [-22], [-13], [-46], [32], [0], [-55], [-89], [-8], [48], [-86], [56], [-28], [71], [-30], [-74], [-74]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 103582791463082320, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6480.2.a.x', 'level': 6480, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [11, 13, 13, 11, 13, 11, 11, 13], 'Nk2': 25920, 'analytic_conductor': 51.743060509789686, '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': [6480, 1, [2431, 1621, 6401, 1297], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1225, 'dim': 96, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19, 23], 'hecke_orbit_code': 33560912, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '6480.2.a', 'level': 6480, '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], 'level_radical': 30, 'mf_dim': 1368, 'mf_new_dim': 96, 'num_forms': 54, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2592, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -240, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1306733
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.2.e.a', 'target_level': 45, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1306734
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.2.e.a', 'target_level': 135, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1306735
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.e.a', 'target_level': 225, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1306736
{'conductor': 180, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.k.a', 'target_level': 225, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1306737
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.2.a.b', 'target_level': 405, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1306738
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '405.2.a.e', 'target_level': 405, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1306739
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.e.a', 'target_level': 675, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1306740
{'conductor': 180, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.k.a', 'target_level': 675, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1306741
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.2.q.d', 'target_level': 720, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1306742
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2025.2.a.b', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1306743
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2025.2.a.e', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1306744
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2025.2.b.c', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1306745
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2025.2.b.d', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1306746
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2160.2.q.a', 'target_level': 2160, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1306747
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6480.2.a.k', 'target_level': 6480, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1306748
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '6480.2.a.x', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '6480.2.a.x', 'target_level': 6480, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, '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: 4201150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 2}
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id: 4201151
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 3}
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id: 4201152
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 5}
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id: 4201153
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 7}
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id: 4201154
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 11}
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id: 4201155
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 13}
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id: 4201156
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 17}
-
id: 4201157
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 19}
-
id: 4201158
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 23}
-
id: 4201159
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 29}
-
id: 4201160
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 31}
-
id: 4201161
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 37}
-
id: 4201162
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 41}
-
id: 4201163
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 43}
-
id: 4201164
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 47}
-
id: 4201165
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 53}
-
id: 4201166
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 59}
-
id: 4201167
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 61}
-
id: 4201168
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 67}
-
id: 4201169
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 71}
-
id: 4201170
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 73}
-
id: 4201171
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 79}
-
id: 4201172
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 83}
-
id: 4201173
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 89}
-
id: 4201174
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463082320, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '6480.2.a.x', 'level': 6480, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66025789
{'hecke_orbit_code': 103582791463082320, 'n': 1, 'trace_an': 1}
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id: 66025790
{'hecke_orbit_code': 103582791463082320, 'n': 2, 'trace_an': 0}
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id: 66025791
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id: 66025995
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id: 66025996
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id: 66025997
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id: 66025998
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id: 66025999
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id: 66026000
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id: 66026001
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id: 66026002
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id: 66026003
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id: 66026004
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id: 66026005
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id: 66026006
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id: 66026007
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id: 66026008
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id: 66026009
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id: 66026010
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id: 66026011
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id: 66026012
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id: 66026013
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id: 66026014
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id: 66026015
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id: 66026016
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id: 66026017
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id: 66026018
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id: 66026019
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id: 66026020
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id: 66026021
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id: 66026022
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id: 66026023
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id: 66026024
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id: 66026025
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id: 66026026
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id: 66026027
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id: 66026028
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id: 66026029
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id: 66026030
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id: 66026031
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id: 66026032
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id: 66026033
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id: 66026034
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id: 66026035
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id: 66026036
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id: 66026037
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id: 66026038
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id: 66026039
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id: 66026040
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id: 66026041
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id: 66026042
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id: 66026043
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id: 66026044
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id: 66026045
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id: 66026046
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