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mf_newforms • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [650, 2, [27, 301], [1, 2]], 'cm_discs': [], 'conrey_index': 599, 'conrey_indexes': [599], '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': [[3, [4, 0, 1]], [7, [16, 0, 1]], [11, [2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517254794, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '650.2.b.g', 'level': 650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '130.2.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}-2iq^{3}-q^{4}+2q^{6}-4iq^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '650.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2266883673071967770, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.466', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.336', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.315', 'prec': 17}, {'__RealLiteral__': 0, 'data': '150.538', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.514', 'prec': 17}, 'traces': [2, 0, 0, -2, 0, 4, 0, 0, -2, 0, -4, 0, 0, 8, 0, 2, 0, 0, -12, 0, -16, 0, 0, -4, 0, -2, 0, 0, -4, 0, -12, 0, 0, -4, 0, 2, 0, 0, 4, 0, 20, 0, 0, 4, 0, 12, 0, 0, -18, 0, 8, 0, 0, 8, 0, -8, 0, 0, -20, 0, 4, 0, 0, -2, 0, -8, 0, 0, -24, 0, 20, 0, 0, 4, 0, 12, 0, 0, 8, 0, -22, 0, 0, 16, 0, -20, 0, 0, 28, 0, 8, 0, 0, 24, 0, 4, 0, 0, 4, 0, 28, 0, 0, 2, 0, 4, 0, 0, 12, 0, -8, 0, 0, -24, 0, 4, 0, 0, 16, 0, -14, 0, 0, 12, 0, -8, 0, 0, 40, 0, 8, 0, 0, 24, 0, 4, 0, 0, 16, 0, -48, 0, 0, -2, 0, 20, 0, 0, -4, 0, 12, 0, 0, -16, 0, -4, 0, 0, -8, 0, -48, 0, 0, -20, 0, 0, 0, 0, -2, 0, 12, 0, 0, -8, 0, -4, 0, 0, 8, 0, 20, 0, 0, -12, 0, -24, 0, 0, -32, 0, 0, 0, 0, -28, 0, 18, 0, 0, 0, 0, -48, 0, 0, -8, 0, -36, 0, 0, 24, 0, 56, 0, 0, -12, 0, -8, 0, 0, -40, 0, -4, 0, 0, 8, 0, 4, 0, 0, -20, 0, 32, 0, 0, 2, 0, 20, 0, 0, 52, 0, -44, 0, 0, -4, 0, 40, 0, 0, 0, 0, 0, 0, 0, 28, 0, 2, 0, 0, -16, 0, 4, 0, 0, 8, 0, -48, 0, 0, -12, 0, -4, 0, 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0, 0, -56, 0, -24, 0, 0, -56, 0, -24, 0, 0, 16, 0, 12, 0, 0, 0, 0, -160, 0, 0, 8, 0, -76, 0, 0, -16, 0, 24, 0, 0, -72, 0, 40, 0, 0, -88, 0, 12, 0, 0, 4, 0, -28, 0, 0, -112, 0, 44, 0, 0, -8, 0, -8, 0, 0, 24, 0, 8, 0, 0, -4, 0, 24, 0, 0, -28, 0, 32, 0, 0, 20, 0, 20, 0, 0, -8, 0, 96, 0, 0, -32, 0, 32, 0, 0, 12, 0, 108, 0, 0, -20, 0, -2, 0, 0, 24, 0, 100, 0, 0, -20, 0, 40, 0, 0, 20, 0, -72, 0, 0, -4, 0, -52, 0, 0, -144, 0, 10, 0, 0, 44, 0, -96, 0, 0, -48, 0, 40, 0, 0, 32, 0, 4, 0, 0, -56, 0, -12, 0, 0, -40, 0, 8, 0, 0, 120, 0, 0, 0, 0, 80, 0, 0, 0, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, -2], [-1, 0], [0, 0], [2, 0], [0, -4], [0, -1], [-1, 0], [0, 0], [-2, 0], [0, 2], [0, 1], [4, 0], [0, 0], [1, 0], [0, 2], [0, -1], [-6, 0], [0, 0], [-8, 0], [0, -2], [0, -6], [-2, 0], [0, 0], [-1, 0], [0, -4], [0, 4], [-2, 0], [0, 0], [-6, 0], [0, 1], [0, 4], [-2, 0], [0, 0], [1, 0], [0, -2], [0, -6], [2, 0], [0, 0], [10, 0], [0, -8], [0, 10], [2, 0], [0, 0], [6, 0], [0, -12], [0, -2], [-9, 0], [0, 0], [4, 0], [0, -1], [0, -2], [4, 0], [0, 0], [-4, 0], [0, 12], [0, -2], [-10, 0], [0, 0], [2, 0], [0, -6], [0, 4], [-1, 0], [0, 0], [-4, 0], [0, -12], [0, -2], [-12, 0], [0, 0], [10, 0], [0, 1], [0, -10], [2, 0], [0, 0], [6, 0], [0, 8], [0, 2], [4, 0], [0, 0], [-11, 0], [0, 10], [0, 0], [8, 0], [0, 0], [-10, 0], [0, 4], [0, 2], [14, 0], [0, 0], [4, 0], [0, 6], [0, 12], [12, 0], [0, 0], [2, 0], [0, 14], [0, -9], [2, 0], [0, 0]], 'ap': [[0, 1], [0, -2], [0, 0], [0, -4], [-2, 0], [0, 1], [0, 2], [-6, 0], [0, -6], [-2, 0], [-6, 0], [0, -2], [10, 0], [0, 10], [0, -12], [0, -2], [-10, 0], [2, 0], [0, -12], [10, 0], [0, -10], [4, 0], [0, 0], [14, 0], [0, 14], [14, 0], [0, 18], [0, 6], [6, 0], [0, -2], [0, -14], [4, 0], [0, -18], [8, 0], [-2, 0], [6, 0], [0, 10], [0, 4], [0, 20], [0, -10], [4, 0], [10, 0], [0, 0], [0, -14], [0, -6], [0, 0], [28, 0], [0, -4], [0, -4], [-10, 0], [0, 6], [26, 0], [-22, 0], [0, 0], [0, -30], [0, -2], [-6, 0], [-2, 0], [0, 2], [-6, 0], [0, -14], [0, -22], [0, 24], [-12, 0], [0, 6], [0, -18], [-14, 0], [0, -22], [0, 6], [-2, 0], [0, -34], [6, 0], [0, 30], [0, 14], [-6, 0], [0, -12], [10, 0], [0, 38], [-6, 0], [-34, 0], [-16, 0], [10, 0], [18, 0], [0, 38], [32, 0], [0, 14], [6, 0], [0, -10], [-6, 0], [0, -16], [0, 10], [-2, 0], [0, -16], [0, 0], [-38, 0], [0, 14], [6, 0], [-26, 0], [0, 6], [-38, 0], [0, 22], [0, 38], [0, -6], [-6, 0], [-32, 0], [0, 18], [0, 12], [0, 2], [12, 0], [10, 0], [0, -34], [0, -26], [0, 6], [46, 0], [30, 0], [18, 0], [0, 16], [0, 42], [0, 6], [-8, 0], [-30, 0], [0, -2], [0, -6], [0, 44], [-38, 0], [38, 0], [22, 0], [-48, 0], [0, -14], [0, -2], [-42, 0], [0, 12], [44, 0], [0, 18], [-14, 0], [-10, 0], [0, 34], [0, -8], [0, -22], [34, 0], [-38, 0], [50, 0], [0, -14], [0, 0], [-2, 0], [-26, 0], [0, 26], [0, -14], [0, 0], [0, 36], [0, -14], [6, 0], [0, -38], [0, 22], [0, -14], [16, 0], [-4, 0], [6, 0], [0, 18], [50, 0], [0, -8], [0, -18], [0, -32], [20, 0], [0, -30], [0, 16], [0, 0], [0, 10]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 27021666517254794, 'hecke_ring_character_values': [[27, [-1, 0]], [301, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '650.2.b.g', 'level': 650, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [650, 2, [27, 301], [1, 2]], 'conrey_index': 599, 'cusp_dim': 94, 'dim': 18, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 68753031818, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '650.2.b', 'level': 650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 118, 'mf_new_dim': 18, 'num_forms': 9, 'prim_orbit_index': 2, 'relative_dim': 18, 'sturm_bound': 210, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [18, 0, 0, -18, 0, 4, 0, 0, -18, 0, -12, 0, 0, -8, 0, 18, 0, 0, 4, 0, -16, 0, 0, -4, 0, -6, 0, 0, -16, 0, -16, 0, 0, 8, 0, 18, 0, 0, 0, 0, 8, 0, 0, 12, 0, 0, 0, 0, -26, 0, -8, 0, 0, -4, 0, 8, 0, 0, 32, 0, 0, 0, 0, -18, 0, -28, 0, 0, 0, 0, -48, 0, 0, -32, 0, -4, 0, 0, 40, 0, -30, 0, 0, 16, 0, 8, 0, 0, 64, 0, 12, 0, 0, -40, 0, 4, 0, 0, 104, 0, 88, 0, 0, 6, 0, -4, 0, 0, 20, 0, 24, 0, 0, -4, 0, 16, 0, 0, -112, 0, 18, 0, 0, 16, 0, 36, 0, 0, -92, 0, -60, 0, 0, 32, 0, -8, 0, 0, 64, 0, -72, 0, 0, -18, 0, 88, 0, 0, 28, 0, -64, 0, 0, 56, 0, 0, 0, 0, 8, 0, -32, 0, 0, -8, 0, -24, 0, 0, -18, 0, 136, 0, 0, 56, 0, -12, 0, 0, 0, 0, 72, 0, 0, 0, 0, -128, 0, 0, 16, 0, -64, 0, 0, -44, 0, 26, 0, 0, 40, 0, 28, 0, 0, 8, 0, -64, 0, 0, 60, 0, -8, 0, 0, 44, 0, 4, 0, 0, -36, 0, 0, 0, 0, -8, 0, 16, 0, 0, 68, 0, 16, 0, 0, 2, 0, -32, 0, 0, -24, 0, 56, 0, 0, 0, 0, -4, 0, 0, -108, 0, -28, 0, 0, -32, 0, 18, 0, 0, -100, 0, 80, 0, 0, 28, 0, -40, 0, 0, -96, 0, 48, 0, 0, 24, 0, 0, 0, 0, 56, 0, -20, 0, 0, 48, 0, -12, 0, 0, -50, 0, -64, 0, 0, 36, 0, 32, 0, 0, 8, 0, 128, 0, 0, 4, 0, -100, 0, 0, -136, 0, -48, 0, 0, -36, 0, -40, 0, 0, -24, 0, -60, 0, 0, 30, 0, 36, 0, 0, -32, 0, 100, 0, 0, 0, 0, -16, 0, 0, -52, 0, -28, 0, 0, -8, 0, 68, 0, 0, -52, 0, 48, 0, 0, -80, 0, -64, 0, 0, 32, 0, 30, 0, 0, -12, 0, 8, 0, 0, 92, 0, -56, 0, 0, 40, 0, 40, 0, 0, -156, 0, -96, 0, 0, -4, 0, 112, 0, 0, 148, 0, 16, 0, 0, 8, 0, -104, 0, 0, 64, 0, 72, 0, 0, -88, 0, 68, 0, 0, -192, 0, -300, 0, 0, 48, 0, -6, 0, 0, -16, 0, 116, 0, 0, 4, 0, 68, 0, 0, -16, 0, 120, 0, 0, -64, 0, -20, 0, 0, 48, 0, -66, 0, 0, -24, 0, -36, 0, 0, 112, 0, 52, 0, 0, -4, 0, 4, 0, 0, 128, 0, -100, 0, 0, -16, 0, -52, 0, 0, -244, 0, 120, 0, 0, -32, 0, 112, 0, 0, 32, 0, 48, 0, 0, -18, 0, -104, 0, 0, 4, 0, -20, 0, 0, 40, 0, -16, 0, 0, 80, 0, 160, 0, 0, -36, 0, 88, 0, 0, 28, 0, 32, 0, 0, 100, 0, 92, 0, 0, 64, 0, 84, 0, 0, 60, 0, -80, 0, 0, 30, 0, -224, 0, 0, 100, 0, -32, 0, 0, 276, 0, -164, 0, 0, 8, 0, -24, 0, 0, 120, 0, 64, 0, 0, -100, 0, -64, 0, 0, -48, 0, -92, 0, 0, 72, 0, -36, 0, 0, -240, 0, -20, 0, 0, 88, 0, 18, 0, 0, -164, 0, -228, 0, 0, -88, 0, 72, 0, 0, 56, 0, 168, 0, 0, -68, 0, -28, 0, 0, 8, 0, 48, 0, 0, 64, 0, 184, 0, 0, 376, 0, -60, 0, 0, -156, 0, -56, 0, 0, 64, 0, 0, 0, 0, 0, 0, -52, 0, 0, 16, 0, 72, 0, 0, -52, 0, -8, 0, 0, -64, 0, 8, 0, 0, 32, 0, 20, 0, 0, 148, 0, 56, 0, 0, 140, 0, 8, 0, 0, 148, 0, -36, 0, 0, 24, 0, 140, 0, 0, -216, 0, 16, 0, 0, -64, 0, 18, 0, 0, -88, 0, 112, 0, 0, -136, 0, 16, 0, 0, -16, 0, -36, 0, 0, -92, 0, -56, 0, 0, 60, 0, -128, 0, 0, 12, 0, -108, 0, 0, -60, 0, -72, 0, 0, 52, 0, 0, 0, 0, 16, 0, 88, 0, 0, -72, 0, 72, 0, 0, 6, 0, -188, 0, 0, -32, 0, 0, 0, 0, 32, 0, 40, 0, 0, 128, 0, 228, 0, 0, 176, 0, -112, 0, 0, -28, 0, -16, 0, 0, -264, 0, -80, 0, 0, 64, 0, 164, 0, 0, 264, 0, 60, 0, 0, -96, 0, 44, 0, 0, 44, 0, 0, 0, 0, -26, 0, 32, 0, 0, 200, 0, -136, 0, 0, -124, 0, -40, 0, 0, 152, 0, -92, 0, 0, -28, 0, -20, 0, 0, 152, 0, -144, 0, 0, 8, 0, -8, 0, 0, 16, 0, 132, 0, 0, 64, 0, -216, 0, 0, 176, 0, 128, 0, 0, 108, 0, -60, 0, 0, -112, 0, -110, 0, 0, 8, 0, 12, 0, 0, 148, 0, -168, 0, 0, 100, 0, -44, 0, 0, 68, 0, -296, 0, 0, -4, 0, 56, 0, 0, -240, 0, 48, 0, 0, 40, 0, 36, 0, 0, -392, 0, 188, 0, 0, 0, 0, -188, 0, 0, -240, 0, 100, 0, 0, -232, 0, 8, 0, 0, 96, 0, -92, 0, 0, -16, 0, 100, 0, 0, -224, 0, 88, 0, 0, 24, 0, -68, 0, 0, -256, 0, 124, 0, 0, -16, 0, 132, 0, 0, -124, 0, -4, 0, 0, -40, 0, -2, 0, 0, -52, 0, 220, 0, 0, 32, 0, 64, 0, 0, 36, 0, 240, 0, 0, -188, 0, 24, 0, 0, -120, 0, -58, 0, 0, -56, 0, -264, 0, 0, -204, 0, -56, 0, 0, 124, 0, 0, 0, 0, -148, 0, 220, 0, 0, 4, 0, 24, 0, 0, 8, 0, 96, 0, 0, 80, 0, 108, 0, 0, -216, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 434194
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '130.2.a.c', 'target_level': 130, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 434195
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '650.2.a.c', 'target_level': 650, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 434196
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '650.2.b.g', 'target_level': 650, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 434197
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '650.2.b.g', 'target_level': 650, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 434198
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1040.2.a.b', 'target_level': 1040, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 434199
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1170.2.a.d', 'target_level': 1170, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 434200
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1690.2.a.e', 'target_level': 1690, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 434201
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1690.2.d.e', 'target_level': 1690, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 434202
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1690.2.d.e', 'target_level': 1690, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 434203
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1690.2.e.a', 'target_level': 1690, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 434204
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1690.2.e.g', 'target_level': 1690, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 434205
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1690.2.l.a', 'target_level': 1690, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 434206
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1690.2.l.a', 'target_level': 1690, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 434207
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4160.2.a.c', 'target_level': 4160, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 434208
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4160.2.a.t', 'target_level': 4160, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 434209
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '5200.2.a.bd', 'target_level': 5200, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 434210
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '5850.2.a.cb', 'target_level': 5850, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 434211
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '5850.2.e.u', 'target_level': 5850, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 434212
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '5850.2.e.u', 'target_level': 5850, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 434213
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '6370.2.a.l', 'target_level': 6370, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 434214
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '8450.2.a.n', 'target_level': 8450, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 434215
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.b.g', 'source_level': 650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '9360.2.a.by', 'target_level': 9360, 'twist_class_label': '130.2.a.c', 'twist_class_level': 130, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1164325
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 2}
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id: 1164326
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 3}
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id: 1164327
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 5}
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id: 1164328
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 7}
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id: 1164329
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 11}
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id: 1164330
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 13}
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id: 1164331
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 17}
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id: 1164332
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 19}
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id: 1164333
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 23}
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id: 1164334
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 29}
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id: 1164335
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 31}
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id: 1164336
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 37}
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id: 1164337
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 41}
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id: 1164338
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 43}
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id: 1164339
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 47}
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id: 1164340
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 53}
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id: 1164341
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 59}
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id: 1164342
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 61}
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id: 1164343
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 67}
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id: 1164344
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 71}
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id: 1164345
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 73}
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id: 1164346
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 79}
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id: 1164347
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 83}
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id: 1164348
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 27021666517254794, 'p': 89}
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id: 1164349
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 27021666517254794, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 7, 'label': '650.2.b.g', 'level': 650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 182403000
{'hecke_orbit_code': 27021666517254794, 'n': 1, 'trace_an': 2}
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id: 182403001
{'hecke_orbit_code': 27021666517254794, 'n': 2, 'trace_an': 0}
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id: 182403002
{'hecke_orbit_code': 27021666517254794, 'n': 3, 'trace_an': 0}
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id: 182403003
{'hecke_orbit_code': 27021666517254794, 'n': 4, 'trace_an': -2}
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id: 182403004
{'hecke_orbit_code': 27021666517254794, 'n': 5, 'trace_an': 0}
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id: 182403005
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id: 182403989
{'hecke_orbit_code': 27021666517254794, 'n': 990, 'trace_an': 0}
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id: 182403990
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id: 182403991
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id: 182403992
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id: 182403993
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id: 182403994
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id: 182403995
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id: 182403996
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id: 182403997
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id: 182403998
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id: 182403999
{'hecke_orbit_code': 27021666517254794, 'n': 1000, 'trace_an': 0}