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mf_newforms • Show schema
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{'Nk2': 1512, 'analytic_conductor': 3.0183451964043986, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [378, 2, [29, 325], [1, 1]], 'cm_discs': [], 'conrey_index': 377, 'conrey_indexes': [377], '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, [-3, 0, 1]], [13, [12, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819355514, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '378.2.d.b', 'level': 378, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '378.2.d.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{12}q^{2}-q^{4}-\\zeta_{12}^{3}q^{5}+(2-\\zeta_{12}^{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '378.2.d', 'trace_display': [0, 0, 0, 8], 'trace_hash': 312274510659437505, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.610', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '109.356', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4170.899', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.763', 'prec': 17}, 'traces': [4, 0, 0, -4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -8, 0, 0, -12, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -4, 0, 0, 8, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 48, 0, 0, 12, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 48, 0, 0, 52, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -88, 0, 0, 24, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -28, 0, 0, -32, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, -56, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, -24, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -36, 0, 0, 4, 0, 0, 56, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [2, 0, -1, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, -2, 0, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-3, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [-2, 0, 1, 0], [0, -6, 0, 0], [0, 0, 0, 0], [0, 0, 3, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 3, 0, -2], [0, 0, 0, 0], [7, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 7], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [1, 0, -4, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, 12, 0, 0], [0, 0, 0, 0], [0, 0, 3, 0], [0, 2, 0, 1], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 3], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [3, 0, 2, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, -7, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, -6, 0, -3], [0, 0, 0, 0], [-10, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, -7, 0], [0, 0, 0, 10], [0, 0, 0, 0], [12, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 3], [0, 0, 0, 0], [-6, 0, -4, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, -8, 0], [0, -1, 0, -4], [0, 0, 0, 0], [2, 0, 0, 0]], 'ap': [[0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [2, 0, -1, 0], [0, -3, 0, 0], [0, 0, -2, 0], [0, 0, 0, -4], [0, 0, -1, 0], [0, -3, 0, 0], [0, -6, 0, 0], [0, 0, 3, 0], [7, 0, 0, 0], [0, 0, 0, 7], [-2, 0, 0, 0], [0, 0, 0, 2], [0, 12, 0, 0], [0, 0, 0, -2], [0, 0, -4, 0], [2, 0, 0, 0], [0, 3, 0, 0], [0, 0, 2, 0], [-10, 0, 0, 0], [0, 0, 0, 10], [0, 0, 0, 3], [0, 0, -8, 0], [0, 0, 0, 0], [0, 0, 11, 0], [0, 0, 0, 0], [13, 0, 0, 0], [0, 12, 0, 0], [-22, 0, 0, 0], [0, 0, 0, 6], [0, -18, 0, 0], [0, 0, 2, 0], [0, -12, 0, 0], [-8, 0, 0, 0], [0, 0, 6, 0], [2, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, -3], [0, -12, 0, 0], [0, 0, -8, 0], [0, 21, 0, 0], [-14, 0, 0, 0], [0, -12, 0, 0], [0, 0, 1, 0], [16, 0, 0, 0], [0, 0, 9, 0], [0, 0, 0, -12], [0, 0, 0, 0], [0, -24, 0, 0], [0, 0, 0, 0], [0, 0, -10, 0], [0, 0, 0, 8], [0, 0, 0, -3], [0, -27, 0, 0], [0, 0, 0, 1], [0, 0, 10, 0], [11, 0, 0, 0], [0, 30, 0, 0], [0, 0, -18, 0], [0, 0, 0, 4], [0, 0, -9, 0], [0, 0, 0, 14], [0, 0, 10, 0], [0, 18, 0, 0], [28, 0, 0, 0], [-5, 0, 0, 0], [0, 27, 0, 0], [0, 0, -16, 0], [0, 0, 0, 11], [0, 0, 0, 0], [0, 0, 1, 0], [5, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, -8], [0, -24, 0, 0], [0, 0, 12, 0], [0, -18, 0, 0], [0, 0, 2, 0], [0, 0, 0, -4], [-13, 0, 0, 0], [0, 21, 0, 0], [0, 0, -6, 0], [0, 0, 6, 0], [0, 9, 0, 0], [0, 12, 0, 0], [-17, 0, 0, 0], [0, 0, 0, -11], [32, 0, 0, 0], [0, 0, 0, -18], [0, 0, 0, 16], [10, 0, 0, 0], [0, -9, 0, 0], [10, 0, 0, 0], [0, 0, 0, -14], [0, 0, 0, -8], [0, 0, 0, 13], [0, 0, -23, 0], [-25, 0, 0, 0], [8, 0, 0, 0], [0, -12, 0, 0], [0, 0, 0, -6], [0, 0, 0, 0], [32, 0, 0, 0], [0, 0, 20, 0], [0, 0, 0, -24], [0, 0, 0, -11], [0, 9, 0, 0], [0, 0, 6, 0], [0, 0, 10, 0], [-19, 0, 0, 0], [0, -18, 0, 0], [0, 0, -11, 0], [-34, 0, 0, 0], [0, 0, 0, 0], [0, 0, 3, 0], [0, 0, 0, -6], [0, 18, 0, 0], [0, 21, 0, 0], [0, 0, 22, 0], [-14, 0, 0, 0], [0, 0, 0, 15], [0, 33, 0, 0], [0, 0, -6, 0], [0, 6, 0, 0], [1, 0, 0, 0], [0, 0, 0, -2], [0, 0, 30, 0], [0, 0, 6, 0], [20, 0, 0, 0], [0, 27, 0, 0], [-2, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, -8], [0, 0, -22, 0], [0, 0, 0, 11], [0, 0, 10, 0], [0, 0, 0, -9], [0, 6, 0, 0], [0, 0, 21, 0], [0, 30, 0, 0], [-4, 0, 0, 0], [0, 3, 0, 0], [0, 0, 22, 0], [0, 0, 0, 14], [0, 0, -8, 0], [0, 0, 0, -25], [0, 0, -17, 0], [0, 0, 0, 0], [50, 0, 0, 0], [0, 0, 0, 15], [16, 0, 0, 0], [0, 0, 0, 14], [-8, 0, 0, 0], [0, 12, 0, 0], [4, 0, 0, 0], [0, 0, 0, -16], [0, 0, -4, 0], [0, 0, 0, 7], [0, 15, 0, 0], [0, -18, 0, 0], [-16, 0, 0, 0], [0, 0, 0, -2], [0, -48, 0, 0], [0, 0, 0, -2], [-2, 0, 0, 0], [0, 0, 0, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 4503805819355514, 'hecke_ring_character_values': [[29, [-1, 0, 0, 0]], [325, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [1, 0, 1, 0], [0, 1, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 0, 1], [-1, 0, 2, 0], [0, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '378.2.d.b', 'level': 378, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1512, 'analytic_conductor': 3.0183451964043986, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [378, 2, [29, 325], [1, 1]], 'conrey_index': 377, 'cusp_dim': 60, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 206191985018, 'hecke_orbit_dims': [4, 4, 4], 'label': '378.2.d', 'level': 378, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 84, 'mf_new_dim': 12, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 144, 'trace_bound': 22, 'trace_display': [0, 0, 0, 6], 'traces': [12, 0, 0, -12, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 0, -12, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 72, 0, 0, 12, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -12, 0, 0, 12, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -96, 0, 0, 60, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 48, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 84, 0, 0, -36, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -144, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 108, 0, 0, 12, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -72, 0, 0, 72, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -24, 0, 0, -216, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -24, 0, 0, -72, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -24, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 120, 0, 0, 36, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 12, 0, 0, 252, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -228, 0, 0, -72, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -108, 0, 0, 108, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -12, 0, 0, -216, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 84, 0, 0, 120, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 108, 0, 0, 12, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 96, 0, 0, 216, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -72, 0, 0, 132, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -36, 0, 0, 12, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 288, 0, 0, -372, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -12, 0, 0, 36, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -108, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 48, 0, 0, 96, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -72, 0, 0, -288, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -216, 0, 0, -180, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -24, 0, 0, 108, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -180, 0, 0, 108, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -36, 0, 0, -12, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 24, 0, 0, -84, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 252, 0, 0, -216, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 156, 0, 0, -36, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -96, 0, 0, -36, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -216, 0, 0, 432, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, -132, 0, 0, -72, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 282533
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '378.2.d.b', 'target_level': 378, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 282534
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '378.2.d.b', 'target_level': 378, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 282535
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '378.2.d.b', 'target_level': 378, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 282536
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '378.2.d.b', 'target_level': 378, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 282537
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1134.2.m.b', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 282538
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1134.2.m.b', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 282539
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1134.2.m.b', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 282540
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1134.2.m.b', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 282541
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.m.c', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 282542
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.m.c', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 282543
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.m.c', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 282544
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.m.c', 'target_level': 1134, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 282545
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.k.e', 'target_level': 3024, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 282546
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.k.e', 'target_level': 3024, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 282547
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.k.e', 'target_level': 3024, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 282548
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '378.2.d.b', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.k.e', 'target_level': 3024, 'twist_class_label': '378.2.d.b', 'twist_class_level': 378, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 797900
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 2}
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id: 797901
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503805819355514, 'p': 3}
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id: 797902
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 5}
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id: 797903
{'charpoly_factorization': [[[7, -4, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 7}
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id: 797904
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 11}
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id: 797905
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 13}
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id: 797906
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 17}
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id: 797907
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 19}
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id: 797908
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 23}
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id: 797909
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 29}
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id: 797910
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 31}
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id: 797911
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 4503805819355514, 'p': 37}
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id: 797912
{'charpoly_factorization': [[[-147, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 41}
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id: 797913
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 4503805819355514, 'p': 43}
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id: 797914
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 47}
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id: 797915
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 53}
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id: 797916
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 59}
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id: 797917
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 61}
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id: 797918
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 4503805819355514, 'p': 67}
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id: 797919
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 71}
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id: 797920
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 73}
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id: 797921
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 4503805819355514, 'p': 79}
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id: 797922
{'charpoly_factorization': [[[-300, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 83}
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id: 797923
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 89}
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id: 797924
{'charpoly_factorization': [[[192, 0, 1], 2]], 'hecke_orbit_code': 4503805819355514, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '378.2.d.b', 'level': 378, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 83366000
{'hecke_orbit_code': 4503805819355514, 'n': 1, 'trace_an': 4}
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id: 83366001
{'hecke_orbit_code': 4503805819355514, 'n': 2, 'trace_an': 0}
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id: 83366002
{'hecke_orbit_code': 4503805819355514, 'n': 3, 'trace_an': 0}
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id: 83366003
{'hecke_orbit_code': 4503805819355514, 'n': 4, 'trace_an': -4}
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id: 83366004
{'hecke_orbit_code': 4503805819355514, 'n': 5, 'trace_an': 0}
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id: 83366005
{'hecke_orbit_code': 4503805819355514, 'n': 6, 'trace_an': 0}
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id: 83366006
{'hecke_orbit_code': 4503805819355514, 'n': 7, 'trace_an': 8}
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id: 83366007
{'hecke_orbit_code': 4503805819355514, 'n': 8, 'trace_an': 0}
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id: 83366008
{'hecke_orbit_code': 4503805819355514, 'n': 9, 'trace_an': 0}
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id: 83366009
{'hecke_orbit_code': 4503805819355514, 'n': 10, 'trace_an': 0}
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id: 83366010
{'hecke_orbit_code': 4503805819355514, 'n': 11, 'trace_an': 0}
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id: 83366011
{'hecke_orbit_code': 4503805819355514, 'n': 12, 'trace_an': 0}
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id: 83366012
{'hecke_orbit_code': 4503805819355514, 'n': 13, 'trace_an': 0}
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id: 83366013
{'hecke_orbit_code': 4503805819355514, 'n': 14, 'trace_an': 0}
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id: 83366014
{'hecke_orbit_code': 4503805819355514, 'n': 15, 'trace_an': 0}
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id: 83366015
{'hecke_orbit_code': 4503805819355514, 'n': 16, 'trace_an': 4}
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id: 83366016
{'hecke_orbit_code': 4503805819355514, 'n': 17, 'trace_an': 0}
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id: 83366017
{'hecke_orbit_code': 4503805819355514, 'n': 18, 'trace_an': 0}
-
id: 83366018
{'hecke_orbit_code': 4503805819355514, 'n': 19, 'trace_an': 0}
-
id: 83366019
{'hecke_orbit_code': 4503805819355514, 'n': 20, 'trace_an': 0}
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id: 83366020
{'hecke_orbit_code': 4503805819355514, 'n': 21, 'trace_an': 0}
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id: 83366021
{'hecke_orbit_code': 4503805819355514, 'n': 22, 'trace_an': -12}
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id: 83366022
{'hecke_orbit_code': 4503805819355514, 'n': 23, 'trace_an': 0}
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id: 83366023
{'hecke_orbit_code': 4503805819355514, 'n': 24, 'trace_an': 0}
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id: 83366024
{'hecke_orbit_code': 4503805819355514, 'n': 25, 'trace_an': -8}
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