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mf_newforms • Show schema
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{'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -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': [405, 1, [326, 82], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[2, [1, 1]], [11, [-2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925333, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '405.2.a.b', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.2.e.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{4}+q^{5}-3q^{7}+3q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/405/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '405.2.a', 'trace_display': [-1, 0, 1, -3], 'trace_hash': 1346866818062352446, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.961', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.870', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.610', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, -1, 0, -1, 1, 0, -3, 3, 0, -1, 2, 0, -2, 3, 0, -1, -4, 0, -8, -1, 0, -2, -3, 0, 1, 2, 0, 3, 1, 0, 0, -5, 0, 4, -3, 0, -4, 8, 0, 3, -5, 0, -8, -2, 0, 3, -7, 0, 2, -1, 0, 2, 2, 0, 2, -9, 0, -1, 14, 0, 7, 0, 0, 7, -2, 0, -3, 4, 0, 3, -2, 0, 4, 4, 0, 8, -6, 0, -6, -1, 0, 5, -9, 0, -4, 8, 0, 6, 15, 0, 6, 3, 0, 7, -8, 0, 2, -2, 0, -1, 18, 0, 8, -6, 0, -2, -3, 0, 5, -2, 0, 3, 8, 0, -3, -1, 0, -14, 12, 0, -7, -7, 0, 0, 1, 0, -5, 3, 0, 2, 6, 0, 24, 3, 0, -12, -12, 0, -16, 3, 0, 2, -4, 0, 1, -4, 0, 4, -17, 0, -2, -24, 0, 6, 0, 0, 14, 6, 0, -5, 9, 0, -4, 5, 0, 9, 9, 0, -9, 4, 0, 8, 0, 0, -3, -2, 0, -15, 2, 0, -7, -6, 0, -9, -4, 0, -8, 7, 0, 8, -8, 0, -10, -2, 0, -2, 12, 0, 4, 3, 0, -18, -3, 0, -5, -8, 0, 2, -16, 0, -22, -2, 0, 3, -8, 0, 0, -5, 0, -2, 8, 0, -19, 15, 0, -8, 4, 0, 15, 3, 0, 3, -24, 0, -7, -14, 0, -12, 8, 0, -11, 7, 0, -7, 2, 0, 16, 0, 0, -1, 0, 0, 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-18, 8, 0, 9, 0, 0, 54, -26, 0, -42, 3, 0, 8, -4, 0, 64, -14, 0, 5, -15, 0, 53, 24, 0, 42, -37, 0, -3, 9, 0, -14, -8, 0, 9, 16, 0, 26, 40, 0, -28, -34, 0, 22, -9, 0, 21, -2, 0, 4, 12, 0, -54, 21, 0, -9, -10, 0, 22, 8, 0, -30, -17, 0, 0, -28, 0, 0, -12, 0, 6, 15, 0, -24, -3, 0, -18, -28, 0, -2, 35, 0, 23, -8, 0, 15, -36, 0, 15, -15, 0, 19, 56, 0, 2, -9, 0, -26, 0, 0, -8, 10, 0, 24, -7, 0, -51, -4, 0, -6, 50, 0, -18, 20, 0, -15, -18, 0, 10, -9, 0, 9, 4, 0, -4, 36, 0, -5, -14, 0, -16, 24, 0, 20, -8, 0, 0, -9, 0, 7, 7, 0, 15, -14, 0, 16, -57, 0, -8, 8, 0, 36, 26, 0, -8, -8, 0, -18, 36, 0, -31, -8, 0, 11, -10, 0, 41, -21, 0, -2, 36, 0, 48, 16, 0, -7, 38, 0, 30, -2, 0, 20, -3, 0, 12, 4, 0, -16, 24, 0, 26, 0, 0, -6, 4, 0, -18, 32, 0, 3], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [-1], [1], [0], [-3], [3], [0], [-1], [2], [0], [-2], [3], [0], [-1], [-4], [0], [-8], [-1], [0], [-2], [-3], [0], [1], [2], [0], [3], [1], [0], [0], [-5], [0], [4], [-3], [0], [-4], [8], [0], [3], [-5], [0], [-8], [-2], [0], [3], [-7], [0], [2], [-1], [0], [2], [2], [0], [2], [-9], [0], [-1], [14], [0], [7], [0], [0], [7], [-2], [0], [-3], [4], [0], [3], [-2], [0], [4], [4], [0], [8], [-6], [0], [-6], [-1], [0], [5], [-9], [0], [-4], [8], [0], [6], [15], [0], [6], [3], [0], [7], [-8], [0], [2], [-2], [0], [-1]], 'ap': [[-1], [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]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660925333, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '405.2.a.b', 'level': 405, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 3, 2], [[[3, 1], [5, 1]], 3, 3], [[[3, 1], [5, -1]], 5, 3], [[[3, -1], [5, 1]], 5, 2]], 'ALdims': [3, 5, 5, 3], 'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, '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': [405, 1, [326, 82], [1, 1]], 'conrey_index': 1, 'cusp_dim': 43, 'dim': 16, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 33554837, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 3, 3], 'label': '405.2.a', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 66, 'mf_new_dim': 16, 'num_forms': 10, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 108, 'trace_bound': 5, 'trace_display': [0, 0, 0, -4], 'traces': [16, 0, 0, 16, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 40, 0, 0, -16, 0, 0, 12, 0, 0, 16, 0, 0, 8, 0, 0, -16, 0, 0, -24, 0, 0, -4, 0, 0, -12, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -12, 0, 0, 8, 0, 0, 16, 0, 0, 56, 0, 0, -12, 0, 0, -16, 0, 0, -64, 0, 0, 32, 0, 0, -48, 0, 0, -12, 0, 0, 36, 0, 0, 16, 0, 0, -24, 0, 0, -16, 0, 0, 16, 0, 0, 44, 0, 0, -24, 0, 0, -40, 0, 0, -52, 0, 0, 24, 0, 0, -24, 0, 0, 16, 0, 0, -40, 0, 0, 56, 0, 0, 48, 0, 0, 28, 0, 0, -72, 0, 0, 8, 0, 0, 60, 0, 0, -12, 0, 0, -4, 0, 0, 8, 0, 0, 72, 0, 0, -64, 0, 0, -24, 0, 0, 140, 0, 0, 144, 0, 0, -24, 0, 0, -4, 0, 0, -4, 0, 0, -36, 0, 0, 32, 0, 0, 0, 0, 0, 48, 0, 0, 12, 0, 0, -28, 0, 0, -120, 0, 0, -16, 0, 0, -72, 0, 0, -36, 0, 0, -220, 0, 0, 8, 0, 0, 72, 0, 0, -20, 0, 0, -48, 0, 0, -16, 0, 0, -24, 0, 0, -88, 0, 0, 144, 0, 0, -36, 0, 0, 36, 0, 0, -64, 0, 0, 104, 0, 0, 88, 0, 0, 0, 0, 0, 36, 0, 0, 40, 0, 0, 136, 0, 0, 144, 0, 0, 24, 0, 0, 68, 0, 0, -88, 0, 0, 72, 0, 0, -4, 0, 0, 12, 0, 0, 20, 0, 0, 48, 0, 0, -80, 0, 0, 80, 0, 0, -24, 0, 0, 168, 0, 0, 40, 0, 0, -16, 0, 0, 20, 0, 0, 60, 0, 0, -124, 0, 0, 152, 0, 0, -48, 0, 0, -72, 0, 0, -4, 0, 0, -180, 0, 0, -40, 0, 0, 0, 0, 0, -40, 0, 0, -60, 0, 0, -56, 0, 0, -144, 0, 0, -64, 0, 0, -84, 0, 0, -24, 0, 0, 156, 0, 0, -24, 0, 0, 112, 0, 0, -4, 0, 0, -72, 0, 0, 104, 0, 0, 0, 0, 0, -88, 0, 0, -84, 0, 0, 60, 0, 0, -16, 0, 0, 0, 0, 0, -72, 0, 0, -88, 0, 0, 40, 0, 0, -8, 0, 0, -144, 0, 0, 8, 0, 0, -100, 0, 0, -24, 0, 0, -96, 0, 0, 152, 0, 0, -144, 0, 0, -176, 0, 0, 120, 0, 0, -52, 0, 0, -40, 0, 0, -64, 0, 0, -24, 0, 0, -36, 0, 0, -256, 0, 0, 168, 0, 0, -120, 0, 0, -172, 0, 0, 132, 0, 0, -124, 0, 0, 72, 0, 0, 88, 0, 0, 288, 0, 0, -16, 0, 0, 48, 0, 0, -152, 0, 0, -80, 0, 0, -76, 0, 0, -60, 0, 0, 60, 0, 0, 152, 0, 0, 104, 0, 0, -36, 0, 0, 48, 0, 0, 404, 0, 0, -80, 0, 0, 0, 0, 0, 84, 0, 0, 48, 0, 0, -16, 0, 0, 24, 0, 0, -8, 0, 0, 52, 0, 0, 0, 0, 0, 192, 0, 0, -136, 0, 0, 24, 0, 0, 44, 0, 0, 12, 0, 0, -104, 0, 0, 296, 0, 0, 136, 0, 0, 0, 0, 0, -24, 0, 0, 180, 0, 0, 80, 0, 0, 72, 0, 0, -40, 0, 0, -108, 0, 0, -24, 0, 0, -72, 0, 0, 112, 0, 0, 116, 0, 0, 72, 0, 0, 108, 0, 0, -88, 0, 0, -112, 0, 0, -112, 0, 0, 12, 0, 0, -124, 0, 0, -216, 0, 0, 56, 0, 0, -36, 0, 0, 16, 0, 0, 8, 0, 0, 56, 0, 0, -120, 0, 0, 48, 0, 0, -132, 0, 0, 200, 0, 0, 48, 0, 0, 192, 0, 0, 212, 0, 0, 24, 0, 0, -180, 0, 0, 32, 0, 0, 144, 0, 0, 108, 0, 0, 60, 0, 0, 212, 0, 0, 48, 0, 0, -32, 0, 0, -360, 0, 0, -24, 0, 0, -172, 0, 0, 152, 0, 0, 120, 0, 0, 60, 0, 0, 8, 0, 0, 112, 0, 0, 288, 0, 0, -64, 0, 0, 144, 0, 0, 48, 0, 0, -468, 0, 0, 88, 0, 0, -112, 0, 0, 56, 0, 0, -24, 0, 0, -208, 0, 0, -216, 0, 0, 56, 0, 0, -72, 0, 0, -108, 0, 0, -120, 0, 0, -40, 0, 0, -336, 0, 0, 164, 0, 0, -60, 0, 0, 136, 0, 0, -72, 0, 0, 152, 0, 0, 260, 0, 0, -16, 0, 0, -72, 0, 0, -48, 0, 0, -264, 0, 0, 140, 0, 0, -48, 0, 0, -44, 0, 0, -136, 0, 0, -24, 0, 0, -144, 0, 0, 84, 0, 0, 0, 0, 0, -136, 0, 0, -120, 0, 0, 184, 0, 0, 12, 0, 0, -64, 0, 0, 0, 0, 0, -64, 0, 0, -364, 0, 0, 60, 0, 0, 132, 0, 0, 88, 0, 0, 368, 0, 0, -244, 0, 0, -24, 0, 0, -76, 0, 0, 288, 0, 0, 32, 0, 0, -72, 0, 0, 120, 0, 0, -212, 0, 0, -80, 0, 0, -216, 0, 0, 20, 0, 0, -120, 0, 0, -256, 0, 0, 0, 0, 0, 64, 0, 0, -412, 0, 0, 24, 0, 0, 120, 0, 0, -168, 0, 0, 72, 0, 0, -184, 0, 0, -60, 0, 0, 108, 0, 0, -328, 0, 0, -88, 0, 0, -252, 0, 0, -4, 0, 0, 372, 0, 0, 192, 0, 0, 24, 0, 0, 152, 0, 0, 24, 0, 0, 72, 0, 0, -312, 0, 0, -272, 0, 0, 36, 0, 0, -48, 0, 0, 288, 0, 0, 72, 0, 0, 248, 0, 0, -28, 0, 0, 0, 0, 0, 88, 0, 0, 152, 0, 0, -144, 0, 0, 528, 0, 0, 0, 0, 0, -56, 0, 0, 32, 0, 0, 72, 0, 0, 176, 0, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 302539
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302540
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302541
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302542
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302543
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 302544
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 302545
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 302546
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 302547
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302548
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302549
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 302550
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 302551
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302552
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 302553
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 302554
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '405.2.a.b', 'source_level': 405, '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 843775
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 2}
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id: 843776
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 3}
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id: 843777
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 5}
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id: 843778
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 7}
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id: 843779
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 11}
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id: 843780
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 13}
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id: 843781
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 17}
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id: 843782
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 19}
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id: 843783
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 23}
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id: 843784
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 29}
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id: 843785
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 31}
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id: 843786
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 37}
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id: 843787
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 41}
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id: 843788
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 43}
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id: 843789
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 47}
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id: 843790
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 53}
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id: 843791
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 59}
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id: 843792
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 61}
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id: 843793
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 67}
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id: 843794
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 71}
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id: 843795
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 73}
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id: 843796
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 79}
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id: 843797
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 83}
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id: 843798
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 89}
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id: 843799
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925333, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '405.2.a.b', 'level': 405, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 62489000
{'hecke_orbit_code': 4503599660925333, 'n': 1, 'trace_an': 1}
-
id: 62489001
{'hecke_orbit_code': 4503599660925333, 'n': 2, 'trace_an': -1}
-
id: 62489002
{'hecke_orbit_code': 4503599660925333, 'n': 3, 'trace_an': 0}
-
id: 62489003
{'hecke_orbit_code': 4503599660925333, 'n': 4, 'trace_an': -1}
-
id: 62489004
{'hecke_orbit_code': 4503599660925333, 'n': 5, 'trace_an': 1}
-
id: 62489005
{'hecke_orbit_code': 4503599660925333, 'n': 6, 'trace_an': 0}
-
id: 62489006
{'hecke_orbit_code': 4503599660925333, 'n': 7, 'trace_an': -3}
-
id: 62489007
{'hecke_orbit_code': 4503599660925333, 'n': 8, 'trace_an': 3}
-
id: 62489008
{'hecke_orbit_code': 4503599660925333, 'n': 9, 'trace_an': 0}
-
id: 62489009
{'hecke_orbit_code': 4503599660925333, 'n': 10, 'trace_an': -1}
-
id: 62489010
{'hecke_orbit_code': 4503599660925333, 'n': 11, 'trace_an': 2}
-
id: 62489011
{'hecke_orbit_code': 4503599660925333, 'n': 12, 'trace_an': 0}
-
id: 62489012
{'hecke_orbit_code': 4503599660925333, 'n': 13, 'trace_an': -2}
-
id: 62489013
{'hecke_orbit_code': 4503599660925333, 'n': 14, 'trace_an': 3}
-
id: 62489014
{'hecke_orbit_code': 4503599660925333, 'n': 15, 'trace_an': 0}
-
id: 62489015
{'hecke_orbit_code': 4503599660925333, 'n': 16, 'trace_an': -1}
-
id: 62489016
{'hecke_orbit_code': 4503599660925333, 'n': 17, 'trace_an': -4}
-
id: 62489017
{'hecke_orbit_code': 4503599660925333, 'n': 18, 'trace_an': 0}
-
id: 62489018
{'hecke_orbit_code': 4503599660925333, 'n': 19, 'trace_an': -8}
-
id: 62489019
{'hecke_orbit_code': 4503599660925333, 'n': 20, 'trace_an': -1}
-
id: 62489020
{'hecke_orbit_code': 4503599660925333, 'n': 21, 'trace_an': 0}
-
id: 62489021
{'hecke_orbit_code': 4503599660925333, 'n': 22, 'trace_an': -2}
-
id: 62489022
{'hecke_orbit_code': 4503599660925333, 'n': 23, 'trace_an': -3}
-
id: 62489023
{'hecke_orbit_code': 4503599660925333, 'n': 24, 'trace_an': 0}
-
id: 62489024
{'hecke_orbit_code': 4503599660925333, 'n': 25, 'trace_an': 1}
-
id: 62489025
{'hecke_orbit_code': 4503599660925333, 'n': 26, 'trace_an': 2}
-
id: 62489026
{'hecke_orbit_code': 4503599660925333, 'n': 27, 'trace_an': 0}
-
id: 62489027
{'hecke_orbit_code': 4503599660925333, 'n': 28, 'trace_an': 3}
-
id: 62489028
{'hecke_orbit_code': 4503599660925333, 'n': 29, 'trace_an': 1}
-
id: 62489029
{'hecke_orbit_code': 4503599660925333, 'n': 30, 'trace_an': 0}
-
id: 62489030
{'hecke_orbit_code': 4503599660925333, 'n': 31, 'trace_an': 0}
-
id: 62489031
{'hecke_orbit_code': 4503599660925333, 'n': 32, 'trace_an': -5}
-
id: 62489032
{'hecke_orbit_code': 4503599660925333, 'n': 33, 'trace_an': 0}
-
id: 62489033
{'hecke_orbit_code': 4503599660925333, 'n': 34, 'trace_an': 4}
-
id: 62489034
{'hecke_orbit_code': 4503599660925333, 'n': 35, 'trace_an': -3}
-
id: 62489035
{'hecke_orbit_code': 4503599660925333, 'n': 36, 'trace_an': 0}
-
id: 62489036
{'hecke_orbit_code': 4503599660925333, 'n': 37, 'trace_an': -4}
-
id: 62489037
{'hecke_orbit_code': 4503599660925333, 'n': 38, 'trace_an': 8}
-
id: 62489038
{'hecke_orbit_code': 4503599660925333, 'n': 39, 'trace_an': 0}
-
id: 62489039
{'hecke_orbit_code': 4503599660925333, 'n': 40, 'trace_an': 3}
-
id: 62489040
{'hecke_orbit_code': 4503599660925333, 'n': 41, 'trace_an': -5}
-
id: 62489041
{'hecke_orbit_code': 4503599660925333, 'n': 42, 'trace_an': 0}
-
id: 62489042
{'hecke_orbit_code': 4503599660925333, 'n': 43, 'trace_an': -8}
-
id: 62489043
{'hecke_orbit_code': 4503599660925333, 'n': 44, 'trace_an': -2}
-
id: 62489044
{'hecke_orbit_code': 4503599660925333, 'n': 45, 'trace_an': 0}
-
id: 62489045
{'hecke_orbit_code': 4503599660925333, 'n': 46, 'trace_an': 3}
-
id: 62489046
{'hecke_orbit_code': 4503599660925333, 'n': 47, 'trace_an': -7}
-
id: 62489047
{'hecke_orbit_code': 4503599660925333, 'n': 48, 'trace_an': 0}
-
id: 62489048
{'hecke_orbit_code': 4503599660925333, 'n': 49, 'trace_an': 2}
-
id: 62489049
{'hecke_orbit_code': 4503599660925333, 'n': 50, 'trace_an': -1}
-
id: 62489050
{'hecke_orbit_code': 4503599660925333, 'n': 51, 'trace_an': 0}
-
id: 62489051
{'hecke_orbit_code': 4503599660925333, 'n': 52, 'trace_an': 2}
-
id: 62489052
{'hecke_orbit_code': 4503599660925333, 'n': 53, 'trace_an': 2}
-
id: 62489053
{'hecke_orbit_code': 4503599660925333, 'n': 54, 'trace_an': 0}
-
id: 62489054
{'hecke_orbit_code': 4503599660925333, 'n': 55, 'trace_an': 2}
-
id: 62489055
{'hecke_orbit_code': 4503599660925333, 'n': 56, 'trace_an': -9}
-
id: 62489056
{'hecke_orbit_code': 4503599660925333, 'n': 57, 'trace_an': 0}
-
id: 62489057
{'hecke_orbit_code': 4503599660925333, 'n': 58, 'trace_an': -1}
-
id: 62489058
{'hecke_orbit_code': 4503599660925333, 'n': 59, 'trace_an': 14}
-
id: 62489059
{'hecke_orbit_code': 4503599660925333, 'n': 60, 'trace_an': 0}
-
id: 62489060
{'hecke_orbit_code': 4503599660925333, 'n': 61, 'trace_an': 7}
-
id: 62489061
{'hecke_orbit_code': 4503599660925333, 'n': 62, 'trace_an': 0}
-
id: 62489062
{'hecke_orbit_code': 4503599660925333, 'n': 63, 'trace_an': 0}
-
id: 62489063
{'hecke_orbit_code': 4503599660925333, 'n': 64, 'trace_an': 7}
-
id: 62489064
{'hecke_orbit_code': 4503599660925333, 'n': 65, 'trace_an': -2}
-
id: 62489065
{'hecke_orbit_code': 4503599660925333, 'n': 66, 'trace_an': 0}
-
id: 62489066
{'hecke_orbit_code': 4503599660925333, 'n': 67, 'trace_an': -3}
-
id: 62489067
{'hecke_orbit_code': 4503599660925333, 'n': 68, 'trace_an': 4}
-
id: 62489068
{'hecke_orbit_code': 4503599660925333, 'n': 69, 'trace_an': 0}
-
id: 62489069
{'hecke_orbit_code': 4503599660925333, 'n': 70, 'trace_an': 3}
-
id: 62489070
{'hecke_orbit_code': 4503599660925333, 'n': 71, 'trace_an': -2}
-
id: 62489071
{'hecke_orbit_code': 4503599660925333, 'n': 72, 'trace_an': 0}
-
id: 62489072
{'hecke_orbit_code': 4503599660925333, 'n': 73, 'trace_an': 4}
-
id: 62489073
{'hecke_orbit_code': 4503599660925333, 'n': 74, 'trace_an': 4}
-
id: 62489074
{'hecke_orbit_code': 4503599660925333, 'n': 75, 'trace_an': 0}
-
id: 62489075
{'hecke_orbit_code': 4503599660925333, 'n': 76, 'trace_an': 8}
-
id: 62489076
{'hecke_orbit_code': 4503599660925333, 'n': 77, 'trace_an': -6}
-
id: 62489077
{'hecke_orbit_code': 4503599660925333, 'n': 78, 'trace_an': 0}
-
id: 62489078
{'hecke_orbit_code': 4503599660925333, 'n': 79, 'trace_an': -6}
-
id: 62489079
{'hecke_orbit_code': 4503599660925333, 'n': 80, 'trace_an': -1}
-
id: 62489080
{'hecke_orbit_code': 4503599660925333, 'n': 81, 'trace_an': 0}
-
id: 62489081
{'hecke_orbit_code': 4503599660925333, 'n': 82, 'trace_an': 5}
-
id: 62489082
{'hecke_orbit_code': 4503599660925333, 'n': 83, 'trace_an': -9}
-
id: 62489083
{'hecke_orbit_code': 4503599660925333, 'n': 84, 'trace_an': 0}
-
id: 62489084
{'hecke_orbit_code': 4503599660925333, 'n': 85, 'trace_an': -4}
-
id: 62489085
{'hecke_orbit_code': 4503599660925333, 'n': 86, 'trace_an': 8}
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