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mf_newforms • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [624, 2, [79, 469, 209, 145], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 1]], [7, [4, 0, 1]], [11, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137472508528, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '624.2.c.a', 'level': 624, '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, 13], 'level_radical': 78, 'minimal_twist': '78.2.b.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-q^{3}+\\beta q^{5}+\\beta q^{7}+q^{9}+(-\\beta-3)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '624.2.c', 'trace_display': [0, -2, 0, 0], 'trace_hash': 248315747009787318, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.920', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.440', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.575', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.093', 'prec': 17}, {'__RealLiteral__': 0, 'data': '139.935', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.519', 'prec': 17}, 'traces': [2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 2, 0, -2, 0, -20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 6, 0, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 4, 0, -12, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 20, 0, 0, 0, 8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 32, 0, 8, 0, -16, 0, 0, 0, 0, 0, 28, 0, 0, 0, -6, 0, 0, 0, 22, 0, 0, 0, 0, 0, -16, 0, 8, 0, 16, 0, -24, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, 40, 0, -4, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 44, 0, -4, 0, -32, 0, 0, 0, 0, 0, -24, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 40, 0, 0, 0, 12, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -12, 0, -48, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 24, 0, 0, 0, 56, 0, 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-24, 0, -44, 0, 40, 0, 40, 0, 0, 0, 0, 0, 26, 0, 0, 0, 8, 0, 0, 0, -48, 0, 0, 0, 0, 0, 84, 0, 72, 0, -16, 0, 24, 0, 0, 0, 0, 0, -144, 0, 0, 0, -24, 0, 0, 0, 24, 0, 0, 0, 0, 0, -56, 0, 4, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -56, 0, 0, 0, -4, 0, 52, 0, 0, 0, 0, 0, 8, 0, 0, 0, -16, 0, 0, 0, -12, 0, 0, 0, 0, 0, 8, 0, -138, 0, -16, 0, -64, 0, 0, 0, 0, 0, -24, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 48, 0, 32, 0, 16, 0, 0, 0, 0, 0, -84, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [-3, -1], [0, 0], [0, -1], [0, 0], [-2, 0], [0, 0], [0, 3], [0, 0], [0, -1], [0, 0], [-4, 0], [0, 0], [1, 0], [0, 0], [-1, 0], [0, 0], [-10, 0], [0, 0], [0, -5], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [0, 4], [0, 0], [3, 1], [0, 0], [0, 5], [0, 0], [-4, 0], [0, 0], [0, 1], [0, 0], [0, 6], [0, 0], [3, 0], [0, 0], [2, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [0, -2], [0, 0], [2, 0], [0, 0], [0, 1], [0, 0], [4, -3], [0, 0], [0, 1], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [0, 2], [0, 0], [0, -2], [0, 0], [10, 0], [0, 0], [0, -3], [0, 0], [4, -3], [0, 0], [0, 5], [0, 0], [-12, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [-1, 0], [0, 1], [0, 1], [0, 0], [-3, -1], [-2, 0], [0, 3], [-4, 0], [-10, 0], [0, -5], [0, 4], [0, 5], [-4, 0], [0, 6], [-6, 0], [0, -2], [2, 0], [0, 1], [0, 0], [0, -2], [0, 0], [0, 2], [0, -3], [0, -6], [2, 0], [16, 0], [-8, 0], [0, 2], [14, 0], [-8, 0], [8, 0], [0, -1], [20, 0], [0, 7], [0, -5], [-2, 0], [0, 7], [0, 6], [-6, 0], [0, 0], [22, 0], [-12, 0], [0, 8], [0, -11], [0, 0], [-12, 0], [0, 7], [0, -4], [0, 2], [-6, 0], [0, 8], [0, 10], [28, 0], [18, 0], [-24, 0], [-10, 0], [0, 5], [-2, 0], [0, -5], [-4, 0], [0, -7], [0, 1], [28, 0], [-26, 0], [0, 9], [0, 5], [-2, 0], [12, 0], [0, -8], [0, 13], [0, -2], [-8, 0], [-6, 0], [0, -17], [0, 2], [30, 0], [0, 4], [0, -15], [0, 2], [-40, 0], [0, 10], [0, 10], [-26, 0], [0, 0], [16, 0], [0, -3], [0, 14], [0, -15], [0, -3], [12, 0], [0, -12], [0, -9], [28, 0], [0, -7], [-24, 0], [0, -3], [-18, 0], [-4, 0], [0, -10], [-28, 0], [0, 9], [16, 0], [10, 0], [28, 0], [0, 4], [0, -14], [0, 13], [0, 0], [22, 0], [32, 0], [0, 8], [0, -11], [0, 13], [0, -5], [-18, 0], [0, -3], [32, 0], [-26, 0], [-20, 0], [0, -20], [-6, 0], [18, 0], [0, 12], [0, 5], [22, 0], [0, -18], [-20, 0], [-8, 0], [0, -22], [0, 13], [0, -8], [-32, 0], [-22, 0], [0, 15], [0, 12], [0, 3], [0, -19], [-2, 0], [-50, 0], [0, -5], [0, 15], [-24, 0], [0, -24], [-30, 0], [0, 8], [0, 28], [-22, 0], [20, 0], [0, 22], [0, 4], [42, 0], [36, 0], [12, 0], [-28, 0], [-12, 0], [0, 0], [0, -3], [-2, 0], [0, -5], [0, 26], [-6, 0], [0, 11], [-12, 0], [0, -21], [0, 12], [8, 0], [-42, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 137472508528, 'hecke_ring_character_values': [[79, [1, 0]], [469, [1, 0]], [209, [1, 0]], [145, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '624.2.c.a', 'level': 624, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [624, 2, [79, 469, 209, 145], [2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 100, 'dim': 14, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 137472508528, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2], 'label': '624.2.c', 'level': 624, '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, 13], 'level_radical': 78, 'mf_dim': 124, 'mf_new_dim': 14, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 14, 'sturm_bound': 224, 'trace_bound': 17, 'trace_display': [0, -2, 0, 0], 'traces': [14, 0, -2, 0, 0, 0, 0, 0, 14, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -10, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 24, 0, 0, 0, 0, 0, 10, 0, 12, 0, -12, 0, 32, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 8, 0, 16, 0, 14, 0, 0, 0, 0, 0, -12, 0, 0, 0, -40, 0, 0, 0, -64, 0, 0, 0, 0, 0, -12, 0, 16, 0, 0, 0, -40, 0, 0, 0, 0, 0, -36, 0, 0, 0, 2, 0, 0, 0, -14, 0, 0, 0, 0, 0, -48, 0, -24, 0, 40, 0, -8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 10, 0, 0, 0, 0, 0, -4, 0, -128, 0, 20, 0, 20, 0, 0, 0, 0, 0, 16, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 40, 0, 4, 0, 36, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 16, 0, 0, 0, 56, 0, -40, 0, 0, 0, 0, 0, 40, 0, 0, 0, -60, 0, 0, 0, -10, 0, 0, 0, 0, 0, -72, 0, 12, 0, -32, 0, 16, 0, 0, 0, 0, 0, -2, 0, 0, 0, 40, 0, 0, 0, 104, 0, 0, 0, 0, 0, 28, 0, -16, 0, 4, 0, 144, 0, 0, 0, 0, 0, -92, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 136, 0, -32, 0, -48, 0, 74, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 128, 0, -52, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -38, 0, 0, 0, 24, 0, 0, 0, 0, 0, 64, 0, -100, 0, -52, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 2, 0, 0, 0, 96, 0, 0, 0, 0, 0, -14, 0, 34, 0, 160, 0, 96, 0, 0, 0, 0, 0, 52, 0, 0, 0, 60, 0, 0, 0, -16, 0, 0, 0, 0, 0, 24, 0, 84, 0, 128, 0, -24, 0, 0, 0, 0, 0, 8, 0, 0, 0, -104, 0, 0, 0, -208, 0, 0, 0, 0, 0, 40, 0, -32, 0, -24, 0, -152, 0, 0, 0, 0, 0, 12, 0, 0, 0, -8, 0, 0, 0, -20, 0, 0, 0, 0, 0, -176, 0, 10, 0, 120, 0, 144, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 32, 0, -168, 0, -40, 0, 4, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, -120, 0, 32, 0, 24, 0, 0, 0, 0, 0, -80, 0, 0, 0, -74, 0, 0, 0, -64, 0, 0, 0, 0, 0, -88, 0, -60, 0, -84, 0, -40, 0, 0, 0, 0, 0, -2, 0, 0, 0, 96, 0, 0, 0, -24, 0, 0, 0, 0, 0, -140, 0, -96, 0, -56, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 168, 0, 0, 0, 0, 0, 12, 0, -56, 0, -48, 0, 192, 0, 0, 0, 0, 0, -120, 0, 0, 0, -16, 0, 0, 0, 56, 0, 0, 0, 0, 0, 128, 0, 32, 0, -144, 0, -116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 144, 0, 46, 0, 40, 0, 0, 0, 0, 0, 56, 0, 0, 0, -58, 0, 0, 0, -100, 0, 0, 0, 0, 0, 208, 0, 88, 0, -104, 0, 68, 0, 0, 0, 0, 0, -40, 0, 0, 0, 84, 0, 0, 0, 64, 0, 0, 0, 0, 0, 76, 0, 22, 0, -108, 0, 32, 0, 0, 0, 0, 0, -144, 0, 0, 0, -84, 0, 0, 0, 8, 0, 0, 0, 0, 0, 140, 0, -60, 0, 16, 0, 80, 0, 0, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, -208, 0, 0, 0, 0, 0, -12, 0, 0, 0, 14, 0, -144, 0, 0, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, 0, 0, -192, 0, -56, 0, 192, 0, -156, 0, 0, 0, 0, 0, 48, 0, 0, 0, -72, 0, 0, 0, -36, 0, 0, 0, 0, 0, -48, 0, -144, 0, 72, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 44, 0, 0, 0, -60, 0, 0, 0, 0, 0, -128, 0, 320, 0, 116, 0, -84, 0, 0, 0, 0, 0, -128, 0, 0, 0, -40, 0, 0, 0, 112, 0, 0, 0, 0, 0, 20, 0, -108, 0, 180, 0, 32, 0, 0, 0, 0, 0, 98, 0, 0, 0, -96, 0, 0, 0, 40, 0, 0, 0, 0, 0, -64, 0, 12, 0, -184, 0, 112, 0, 0, 0, 0, 0, 26, 0, 0, 0, 72, 0, 0, 0, 192, 0, 0, 0, 0, 0, 92, 0, 88, 0, 48, 0, -32, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 40, 0, -12, 0, -144, 0, 248, 0, 0, 0, 0, 0, 160, 0, 0, 0, 168, 0, 0, 0, 16, 0, 0, 0, 0, 0, -96, 0, 192, 0, -68, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 12, 0, 0, 0, 0, 0, 176, 0, -230, 0, -40, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 106, 0, 0, 0, -144, 0, 0, 0, 0, 0, -16, 0, 104, 0, 128, 0, 64, 0, 0, 0, 0, 0, 20, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 418238
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.b.a', 'target_level': 78, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418239
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.b.a', 'target_level': 78, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418240
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.b.a', 'target_level': 234, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418241
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.b.a', 'target_level': 234, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418242
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.c.a', 'target_level': 624, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 418243
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.c.a', 'target_level': 624, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 418244
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1014.2.a.b', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418245
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.2.a.g', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418246
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1014.2.e.b', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418247
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.e.e', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418248
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1014.2.i.c', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 418249
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1014.2.i.c', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 418250
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1872.2.c.b', 'target_level': 1872, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418251
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1872.2.c.b', 'target_level': 1872, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418252
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.b.c', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418253
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.b.c', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 418254
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.f.d', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 418255
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.f.d', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 418256
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.f.g', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 418257
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.f.g', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 418258
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2496.2.c.f', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418259
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2496.2.c.f', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '104.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418260
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.c.m', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418261
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.c.m', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '104.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 418262
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3042.2.a.c', 'target_level': 3042, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418263
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3042.2.a.n', 'target_level': 3042, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418264
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3822.2.c.d', 'target_level': 3822, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418265
{'conductor': 364, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3822.2.c.d', 'target_level': 3822, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '364.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418266
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '8112.2.a.g', 'target_level': 8112, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418267
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '624.2.c.a', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '8112.2.a.j', 'target_level': 8112, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1129300
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 2}
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id: 1129301
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 3}
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id: 1129302
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 5}
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id: 1129303
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 7}
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id: 1129304
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 11}
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id: 1129305
{'charpoly_factorization': [[[13, 6, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 13}
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id: 1129306
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 17}
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id: 1129307
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 19}
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id: 1129308
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 23}
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id: 1129309
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 29}
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id: 1129310
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 31}
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id: 1129311
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 37}
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id: 1129312
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 41}
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id: 1129313
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 43}
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id: 1129314
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 47}
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id: 1129315
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 53}
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id: 1129316
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 59}
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id: 1129317
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 61}
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id: 1129318
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 67}
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id: 1129319
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 71}
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id: 1129320
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 73}
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id: 1129321
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508528, 'p': 79}
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id: 1129322
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 83}
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id: 1129323
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 89}
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id: 1129324
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 137472508528, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '624.2.c.a', 'level': 624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 5631139
{'hecke_orbit_code': 137472508528, 'n': 1, 'trace_an': 2}
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id: 5631140
{'hecke_orbit_code': 137472508528, 'n': 2, 'trace_an': 0}
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id: 5631141
{'hecke_orbit_code': 137472508528, 'n': 3, 'trace_an': -2}
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