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mf_newforms • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [546, 6, [365, 157, 379], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 43, 'conrey_indexes': [43, 127], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 8, 0, 1]], [11, [1, -6, 11, 6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512035866247714, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.2.s.d', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.s.d', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{12}q^{2}+(1-\\zeta_{12}^{2})q^{3}+\\zeta_{12}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.2.s', 'trace_display': [0, 2, 0, 0], 'trace_hash': 459598243529779992, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.131', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '64.765', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1479.869', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.184', 'prec': 17}, 'traces': [4, 0, 2, 2, 0, 0, 0, 0, -2, -2, -6, 4, 0, -4, 6, -2, 4, 0, 12, -6, 0, 4, 0, 0, 4, -4, -4, 0, 6, 2, 0, 0, -6, 0, -2, 2, -6, -4, 0, -4, 0, -2, -2, 0, 6, -12, 0, 2, 2, -12, 8, 0, -28, 0, 2, -2, 0, 0, 24, 0, 20, 2, 0, -4, -14, 8, -24, -4, 0, 0, 18, 0, 0, -6, 2, 12, -8, 10, -12, -6, -2, 14, 0, 0, -18, 0, -6, -4, 12, 4, -10, 0, -30, 2, 10, 0, 6, 0, 0, 2, -20, 6, 28, -14, -4, 12, 10, -2, 0, -6, -6, 0, 10, -2, -12, 12, 0, 24, -6, -2, -8, 0, 0, 30, 0, 2, -32, 0, -4, -24, 48, -6, 2, 12, 0, -6, 12, 0, 12, 2, 12, 12, -8, 4, 18, 20, -2, 0, -24, -12, 0, -2, 4, 6, 64, 0, -48, -48, -14, -2, 0, 0, 18, 0, -2, 6, 48, -4, -46, -20, -12, 2, 38, 0, 12, 6, 0, -6, 24, 6, 16, 0, 40, -12, 12, -2, 0, -12, 0, 0, -2, -2, -18, 4, -4, 4, -6, 4, 2, 0, -24, 0, 0, 4, -14, -18, 0, 0, -32, -6, 4, -14, 0, 12, 12, 0, 2, 10, -12, 4, -18, -12, 36, 2, -2, 0, -12, 12, 0, -12, -4, 0, 12, 14, 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-24, 0, 16, 26, 6, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [1, 0, -1, 0], [0, 0, 1, 0], [-1, 0, 2, 1], [0, 1, 0, -1], [0, -1, 0, 1], [0, 0, 0, 1], [0, 0, -1, 0], [-1, -1, 1, 2], [-1, 2, -1, 0], [1, 0, 0, 0], [0, 1, 0, 3], [-1, 0, 0, 0], [1, 1, 1, 0], [-1, 0, 1, 0], [0, 1, 2, 1], [0, 0, 0, -1], [4, -1, -2, 1], [-2, -1, 1, 1], [0, 0, 0, 1], [0, -1, 2, -1], [0, -2, 0, 4], [0, 1, 0, 0], [1, -4, 0, 2], [-3, 0, 4, 0], [-1, 0, 0, 0], [0, -1, 0, 0], [3, 0, -3, 0], [0, 1, 1, 1], [5, 0, -10, -1], [0, -1, 0, 1], [-2, 2, 1, -2], [-1, 0, 2, 2], [0, -1, -1, -1], [1, 0, -1, 0], [-1, -3, -1, 0], [-1, 4, 0, -2], [0, 4, 0, -1], [-1, -2, 0, 1], [0, 7, 0, 0], [-1, 0, 1, 0], [0, -1, -1, -1], [1, 0, -2, 2], [2, 1, -1, -1], [-4, 0, 2, 0], [-2, 0, 4, -1], [0, 0, 1, 0], [1, 0, -1, 0], [-2, 1, -2, 0], [2, 2, 0, -1], [0, -3, 0, 4], [-7, 4, 0, -2], [0, -1, 0, 0], [1, -1, -1, 2], [0, 0, -1, 0], [2, 0, -4, 1], [0, 3, 0, -3], [8, 6, -4, -6], [-1, 0, 2, 1], [0, -1, 10, -1], [1, 5, -1, -10], [0, 1, 0, 0], [-1, 0, 0, 0], [-4, -7, 1, 5], [2, -2, 0, 1], [-4, 6, -4, 0], [-2, -1, 2, 2], [0, 2, 0, 2], [1, 0, -2, -1], [6, 3, -3, -3], [0, 1, 0, -1], [2, 0, -4, -10], [0, -1, -3, -1], [1, -2, -1, 4], [2, -1, 2, 0], [-2, 2, 0, -1], [1, 0, 3, 0], [-3, -16, 0, 8], [-1, -1, -1, 0], [-1, 0, 1, 0], [0, 0, 7, 0], [5, 0, -10, -3], [0, -1, 0, 1], [-6, -5, 3, 5], [1, 0, -2, -1], [0, 0, -3, 0], [-2, 1, 2, -2], [2, -3, 2, 0], [1, 2, 0, -1], [-1, 0, -3, 0], [0, -4, 0, 2], [-5, -1, -5, 0], [1, -2, -1, 4], [0, 1, 5, 1], [0, 0, 0, 1], [2, 1, -1, -1], [0, 1, 0, -1], [-1, 0, 2, -2], [0, -2, 1, -2]], 'ap': [[0, 1, 0, 0], [1, 0, -1, 0], [-1, 0, 2, 1], [0, -1, 0, 1], [-1, 2, -1, 0], [0, 1, 0, 3], [0, 1, 2, 1], [4, -1, -2, 1], [0, -2, 0, 4], [3, 0, -3, 0], [5, 0, -10, -1], [-1, -3, -1, 0], [0, 7, 0, 0], [0, -1, -1, -1], [-2, 0, 4, -1], [-7, 4, 0, -2], [8, 6, -4, -6], [0, -1, 10, -1], [-4, 6, -4, 0], [6, 3, -3, -3], [2, 0, -4, -10], [-3, -16, 0, 8], [5, 0, -10, -3], [2, -3, 2, 0], [2, 1, -1, -1], [-10, 0, 10, 0], [7, -6, 0, 3], [5, 2, -5, -4], [5, 0, -10, -5], [0, -3, 5, -3], [-16, -2, 16, 4], [12, -8, 0, 4], [4, -12, -2, 12], [0, -7, 6, -7], [-8, 12, 4, -12], [-3, 0, 6, -8], [-12, 4, 0, -2], [6, 13, -3, -13], [8, 8, 8, 0], [0, -1, 19, -1], [12, -6, -12, 12], [4, 6, 0, -3], [0, -3, -1, -3], [-3, 12, -3, 0], [-1, -4, -1, 0], [0, 3, 1, 3], [2, -8, -2, 16], [6, 2, 6, 0], [-4, -12, 2, 12], [10, 0, -20, -7], [3, 6, 0, -3], [-3, 0, 6, 19], [-24, -8, 12, 8], [0, -3, 13, -3], [-8, -11, 8, 22], [17, -1, -17, 2], [0, -16, -4, -16], [13, 1, 13, 0], [0, 6, -16, 6], [-3, 0, 6, -13], [-16, 4, 16, -8], [-24, -8, 12, 8], [12, 0, -24, 13], [14, -6, 0, 3], [7, 6, 0, -3], [0, 0, 0, 18], [-8, 10, 4, -10], [-7, 24, 0, -12], [0, 8, -9, 8], [16, 4, 16, 0], [-2, -2, -2, 0], [3, 0, -6, -21], [8, 14, -8, -28], [0, -9, 5, -9], [-9, -1, -9, 0], [-12, -25, 6, 25], [2, -36, 0, 18], [-4, 13, 2, -13], [0, 10, 0, 0], [-2, -15, 1, 15], [1, -3, -1, 6], [6, 0, -12, 4], [7, -9, 7, 0], [0, -4, 2, -4], [-6, 6, 6, -12], [-21, 12, 0, -6], [-2, 9, 1, -9], [12, 14, 12, 0], [-32, 0, 16, 0], [3, 0, -6, -4], [-4, -16, 0, 8], [6, -21, 6, 0], [6, -16, -3, 16], [12, -14, -12, 28], [15, 0, -30, -13], [0, -16, -4, -16], [-11, 7, -11, 0], [-4, -2, 0, 1], [24, 3, -24, -6], [-3, 0, 6, -25], [-25, -14, 0, 7], [5, -28, 5, 0], [0, -1, -35, -1], [21, -1, -21, 2], [-25, -6, 0, 3], [-1, 0, 2, 15], [-21, -5, -21, 0], [10, 0, -20, -31], [6, 32, 0, -16], [25, 7, -25, -14], [0, 19, -7, 19], [8, -28, 8, 0], [26, -19, -13, 19], [-10, 0, 20, 15], [-30, -10, 15, 10], [0, 14, 8, 14], [-20, -19, 10, 19], [0, -1, 0, 2], [-29, -10, 29, 20], [0, 4, -27, 4], [-6, -38, -6, 0], [-41, 4, 41, -8], [-1, 54, 0, -27], [-12, 16, 6, -16], [12, -20, 12, 0], [3, 20, 0, -10], [22, -5, -11, 5], [0, -11, -16, -11], [2, 4, 0, -2], [8, 0, -16, -7], [6, 4, 6, 0], [-13, -3, -13, 0], [7, 8, -7, -16], [19, -11, -19, 22], [20, 18, -10, -18], [17, 5, 17, 0], [12, -32, -6, 32], [-24, 35, 12, -35], [0, 1, 1, 1], [-5, -3, 5, 6], [2, 0, -4, 12], [-9, 30, -9, 0], [0, 4, 14, 4], [-6, 0, 12, 30], [8, -5, -8, 10], [12, 4, -6, -4], [6, 0, -12, -23], [32, -12, 0, 6], [-26, -22, 0, 11], [-20, 0, 40, -6], [50, -7, -25, 7], [8, -4, -8, 8], [-5, -34, 0, 17], [-26, -11, 26, 22], [-24, -2, 24, 4], [19, -22, 0, 11], [0, -20, -7, -20], [4, -47, -2, 47], [4, 48, 0, -24], [-18, 0, 36, 18], [-11, 32, -11, 0], [0, -21, 15, -21], [0, 0, 0, -36], [0, 14, -20, 14], [14, 6, 14, 0], [-8, 0, 16, 42], [15, 6, -15, -12], [0, 29, 8, 29]], 'char_orbit_index': 19, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 13512035866247714, 'hecke_ring_character_values': [[365, [1, 0, 0, 0]], [157, [1, 0, 0, 0]], [379, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '546.2.s.d', 'level': 546, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [546, 6, [365, 157, 379], [6, 6, 1]], 'conrey_index': 43, 'cusp_dim': 208, 'dim': 24, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 1236984136226, 'hecke_orbit_dims': [4, 4, 4, 4, 8], 'label': '546.2.s', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 240, 'mf_new_dim': 24, 'num_forms': 5, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 12, 0, 0, 0, 0, -12, 0, 24, 0, 8, 0, 24, -12, 8, 0, 0, 0, 0, 8, 8, 0, -40, 0, 0, 0, 0, -8, 0, 0, -24, 0, -8, 12, 0, 16, 8, 0, -24, 4, -12, 0, 0, 12, 0, 0, 12, 0, 8, 16, -64, 0, -8, 0, 0, -24, 96, 0, 8, 0, 0, -24, 24, -16, 36, -8, -8, 0, 24, 0, 0, -8, 0, 0, -32, 8, 32, 0, -12, 8, 0, 0, -72, 0, -16, -8, -72, 0, 8, 16, 0, -16, -48, 0, 0, 0, 0, -20, -16, 0, -32, -24, -16, -12, 0, 0, 0, 0, 24, 0, -16, -16, -72, 0, -16, 32, 0, 8, 4, 0, 48, 0, 0, 0, 16, 0, -16, -8, 96, -24, 0, 8, 0, -24, 0, 0, 24, 8, 24, -8, 64, 24, 120, -16, 0, 0, 48, 0, 0, 8, 8, 24, -144, 16, -32, -24, -8, 0, 0, 0, -12, 0, 32, 40, 48, 8, -68, 48, 0, 12, 48, 0, 48, -24, 0, -56, -8, 0, 32, 16, 32, 12, -48, -20, 0, 24, 0, 0, -24, 0, -24, -96, 8, 24, 48, 8, -32, 0, -48, 120, 0, 4, -16, -96, -16, 8, -80, 0, -48, -32, 0, 96, -48, 0, 4, 72, -48, -16, 80, -32, 72, 0, 20, 0, 0, 0, 0, 16, 0, -24, -144, 24, -128, 96, -32, -20, 0, -24, 24, 0, 0, -8, 0, 80, 152, 0, -12, -48, -48, 0, -48, 24, 0, -12, -8, -48, 32, 48, 0, -48, 48, -8, 0, -48, 60, 0, 0, -8, 48, -16, -32, -96, 24, 8, -88, 0, 0, 0, 0, -16, -24, 24, -64, -40, -16, 0, 32, 16, 0, 0, -48, 0, -24, 8, 24, 8, -48, 0, -48, 0, 48, 0, 72, 24, 0, -16, 0, 24, 208, 4, 272, 0, -8, 16, 0, 24, 120, 0, 16, -8, 24, -24, 104, 80, 24, -8, 0, 0, 120, -48, 0, 32, 16, 0, -160, 32, 144, -72, -48, -8, 0, 24, -24, 0, -8, 16, -216, 0, -16, -16, 96, 16, 24, 0, 0, -48, 0, 0, 36, -120, -96, 4, 384, 12, 56, 8, 0, 192, -48, 0, -72, -72, -48, -32, -80, -8, -120, 48, 0, 0, 72, 0, 0, 32, -12, 0, 32, 24, 48, 0, 4, -20, 0, 24, -168, 0, 0, 20, -72, -64, -12, -32, 0, 32, 16, 0, 0, 0, 0, -16, 0, -12, 48, -24, -32, 72, -32, -8, 0, -96, -24, 0, -72, -8, 12, 0, 0, 80, 72, 0, -40, 0, 48, -48, 0, 0, 32, 0, -24, 52, -256, 24, -104, -48, 0, 0, -72, 0, -48, 16, 0, -96, 96, -32, 36, -24, -4, 0, -96, 0, 0, 0, 56, 24, -96, -8, -32, 192, 16, 16, 0, -48, 192, 0, 32, -28, -72, 16, 80, 96, -60, -4, -48, 0, -96, -72, 0, 0, 64, 48, -224, -40, 16, 0, 16, -16, 0, 0, 96, 0, 64, 0, -144, 48, 96, 32, -96, -56, 32, 0, 0, -72, 0, -8, 128, 48, 32, 56, -208, 24, 56, 48, 0, -24, 24, 0, 40, -16, -96, 0, 64, -64, 24, -8, 0, 0, 24, 24, 0, 64, -8, -24, 128, -8, -64, 0, 8, 8, 0, 0, 48, 0, -48, -24, 0, 0, 24, 16, 48, 16, -112, 0, 48, 48, 0, -4, 40, 120, -56, 56, -16, 24, 8, 12, 0, -48, -192, 0, -48, 8, 120, -32, -48, -64, -96, 0, -112, 0, 72, 0, 0, 8, -8, 48, 32, -96, -80, 0, 48, -32, 0, -72, 336, 0, -16, -8, 0, -16, 8, 16, -120, -24, -72, 0, 120, -84, 0, -72, -8, -96, -64, 8, 56, -192, -32, -16, 0, 0, -24, 0, -64, -132, -192, -16, -8, -160, -24, 0, 24, 0, -144, 0, 0, 24, -56, 0, 16, -160, -32, -12, -160, 40, 0, 24, 0, 0, -184, -32, 72, 64, -88, 80, 48, -8, 128, 0, 0, 168, 0, 4, -132, 48, 0, -52, 416, 24, -32, 24, 0, 0, -24, 0, 128, 0, 48, 24, -168, 16, -96, -48, 16, 0, 144, -24, 0, 80, -32, 48, -128, -4, -80, -24, 72, 80, 0, -12, 144, 0, -16, 56, 0, 32, -128, -16, 72, 16, 8, 0, -12, -96, 0, 16, 0, 0, 176, 8, 24, 48, -32, 16, 0, 240, 24, 0, 72, 8, -36, -96, 96, 16, -24, 20, 8, 0, 48, -24, 0, 48, 40, 24, 72, 72, 0, 0, 8, -112, 0, 48, 240, 0, 8, 24, 72, 64, 160, 0, 336, 0, 20, 0, 48, -24, 0, -48, -16, -180, -32, 40, -128, 192, -16, 12, 0, -96, -216, 0, 0, -72, 0, 16, 8, -16, -72, 32, 96, 0, -144, 0, 0, 40, 32, -48, 80, 184, 96, 120, 72, 0, 0, -48, 96, 0, 272, -4, 216, -32, -4, -32, -96, 32, 88, 0, -24, -12, 0, -8, 112, 72, 0, -8, 16, 0, -32, -40, 0, -24, -192, 0, -28, 88, 24, -96, -192, 32, 48, 32, -8, 0, -264, 24, 0, -32, -48, 96, 192, -32, -16, -48, 0, -36, 0, 0, -48, 0, -16, -4, 144, -96, -8, 144, 0, -80, 48, 0, 96, 288, 0, -8, -48, 0, 120, 64, -64, 0, -40, -16, 0, -24, -24, 0, 48, 96, 336, 0, -48, 80, -48, -20, 72, 0, 0, -24, 0, -32, 36, 0, 32, 40, 96, 0, -64, 64, 0, 120, -96, 0, -32, -16, -48, 176, 64, 0, 96, 32, 16, 0, -72, 96, 0, -72, 32, 0, -32, 24, -112, 0, 24, -64, 0, 96, -48, 0, 8, 32, -144, -64, 80, -528, 72, 20, 160, 0, 24, -72, 0, -24, 16, -24, -128, -176, 0, 24, 240, -24, 0, 0, -288, 0, -112, 0, -48, -112, 8, -16, 72, -16, -264, 0, 48, -192, 0, 40, -32, 24, 16, 64, 96, 0, -64, 0, 0, -24, -216, 0, -24, 8, -24, -96], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 377914
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.2.s.d', 'source_level': 546, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '546.2.s.d', 'target_level': 546, 'twist_class_label': '546.2.s.d', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 377915
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.2.s.d', 'source_level': 546, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '546.2.s.d', 'target_level': 546, 'twist_class_label': '546.2.s.d', 'twist_class_level': 546, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 377916
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.2.s.d', 'source_level': 546, 'target_char_orbit': 36, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1638.2.bj.d', 'target_level': 1638, 'twist_class_label': '546.2.s.d', 'twist_class_level': 546, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377917
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.2.s.d', 'source_level': 546, 'target_char_orbit': 36, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1638.2.bj.d', 'target_level': 1638, 'twist_class_label': '546.2.s.d', 'twist_class_level': 546, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 377918
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.2.s.d', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7098.2.a.bj', 'target_level': 7098, 'twist_class_label': '546.2.s.d', 'twist_class_level': 546, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 377919
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.2.s.d', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '7098.2.a.bs', 'target_level': 7098, 'twist_class_label': '546.2.s.d', 'twist_class_level': 546, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1028375
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 2}
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id: 1028376
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 13512035866247714, 'p': 3}
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id: 1028377
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 5}
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id: 1028378
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 7}
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id: 1028379
{'charpoly_factorization': [[[1, -6, 11, 6, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 11}
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id: 1028380
{'charpoly_factorization': [[[169, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 13}
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id: 1028381
{'charpoly_factorization': [[[1, -4, 15, -4, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 17}
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id: 1028382
{'charpoly_factorization': [[[121, -132, 59, -12, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 19}
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id: 1028383
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 23}
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id: 1028384
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 13512035866247714, 'p': 29}
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id: 1028385
{'charpoly_factorization': [[[5476, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 31}
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id: 1028386
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 37}
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id: 1028387
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 41}
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id: 1028388
{'charpoly_factorization': [[[4, -4, 6, 2, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 43}
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id: 1028389
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 47}
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id: 1028390
{'charpoly_factorization': [[[37, 14, 1], 2]], 'hecke_orbit_code': 13512035866247714, 'p': 53}
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id: 1028391
{'charpoly_factorization': [[[144, -288, 204, -24, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 59}
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id: 1028392
{'charpoly_factorization': [[[9409, -1940, 303, -20, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 61}
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id: 1028393
{'charpoly_factorization': [[[144, 288, 204, 24, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 67}
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id: 1028394
{'charpoly_factorization': [[[324, -324, 126, -18, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 71}
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id: 1028395
{'charpoly_factorization': [[[7744, 0, 224, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 73}
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id: 1028396
{'charpoly_factorization': [[[-183, 6, 1], 2]], 'hecke_orbit_code': 13512035866247714, 'p': 79}
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id: 1028397
{'charpoly_factorization': [[[4356, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 83}
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id: 1028398
{'charpoly_factorization': [[[9, -36, 51, -12, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 89}
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id: 1028399
{'charpoly_factorization': [[[4, -12, 14, -6, 1], 1]], 'hecke_orbit_code': 13512035866247714, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 19, 'hecke_orbit': 4, 'label': '546.2.s.d', 'level': 546, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 145251000
{'hecke_orbit_code': 13512035866247714, 'n': 1, 'trace_an': 4}
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id: 145251001
{'hecke_orbit_code': 13512035866247714, 'n': 2, 'trace_an': 0}
-
id: 145251002
{'hecke_orbit_code': 13512035866247714, 'n': 3, 'trace_an': 2}
-
id: 145251003
{'hecke_orbit_code': 13512035866247714, 'n': 4, 'trace_an': 2}
-
id: 145251004
{'hecke_orbit_code': 13512035866247714, 'n': 5, 'trace_an': 0}
-
id: 145251005
{'hecke_orbit_code': 13512035866247714, 'n': 6, 'trace_an': 0}
-
id: 145251006
{'hecke_orbit_code': 13512035866247714, 'n': 7, 'trace_an': 0}
-
id: 145251007
{'hecke_orbit_code': 13512035866247714, 'n': 8, 'trace_an': 0}
-
id: 145251008
{'hecke_orbit_code': 13512035866247714, 'n': 9, 'trace_an': -2}
-
id: 145251009
{'hecke_orbit_code': 13512035866247714, 'n': 10, 'trace_an': -2}
-
id: 145251010
{'hecke_orbit_code': 13512035866247714, 'n': 11, 'trace_an': -6}
-
id: 145251011
{'hecke_orbit_code': 13512035866247714, 'n': 12, 'trace_an': 4}
-
id: 145251012
{'hecke_orbit_code': 13512035866247714, 'n': 13, 'trace_an': 0}
-
id: 145251013
{'hecke_orbit_code': 13512035866247714, 'n': 14, 'trace_an': -4}
-
id: 145251014
{'hecke_orbit_code': 13512035866247714, 'n': 15, 'trace_an': 6}
-
id: 145251015
{'hecke_orbit_code': 13512035866247714, 'n': 16, 'trace_an': -2}
-
id: 145251016
{'hecke_orbit_code': 13512035866247714, 'n': 17, 'trace_an': 4}
-
id: 145251017
{'hecke_orbit_code': 13512035866247714, 'n': 18, 'trace_an': 0}
-
id: 145251018
{'hecke_orbit_code': 13512035866247714, 'n': 19, 'trace_an': 12}
-
id: 145251019
{'hecke_orbit_code': 13512035866247714, 'n': 20, 'trace_an': -6}
-
id: 145251020
{'hecke_orbit_code': 13512035866247714, 'n': 21, 'trace_an': 0}
-
id: 145251021
{'hecke_orbit_code': 13512035866247714, 'n': 22, 'trace_an': 4}
-
id: 145251022
{'hecke_orbit_code': 13512035866247714, 'n': 23, 'trace_an': 0}
-
id: 145251023
{'hecke_orbit_code': 13512035866247714, 'n': 24, 'trace_an': 0}
-
id: 145251024
{'hecke_orbit_code': 13512035866247714, 'n': 25, 'trace_an': 4}
-
id: 145251025
{'hecke_orbit_code': 13512035866247714, 'n': 26, 'trace_an': -4}
-
id: 145251026
{'hecke_orbit_code': 13512035866247714, 'n': 27, 'trace_an': -4}
-
id: 145251027
{'hecke_orbit_code': 13512035866247714, 'n': 28, 'trace_an': 0}
-
id: 145251028
{'hecke_orbit_code': 13512035866247714, 'n': 29, 'trace_an': 6}
-
id: 145251029
{'hecke_orbit_code': 13512035866247714, 'n': 30, 'trace_an': 2}
-
id: 145251030
{'hecke_orbit_code': 13512035866247714, 'n': 31, 'trace_an': 0}
-
id: 145251031
{'hecke_orbit_code': 13512035866247714, 'n': 32, 'trace_an': 0}
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