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mf_newforms • Show schema
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{'Nk2': 4212, 'analytic_conductor': 8.408247332840824, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1053, 2, [326, 730], [2, 1]], 'cm_discs': [], 'conrey_index': 649, 'dim': 12, 'field_disc': 487522027177906176, 'field_disc_factorization': [[2, 12], [3, 8], [367, 4]], 'field_poly': [36, 0, -15, 0, 481, 0, 146, 0, 15, 0, -10, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [3, 0, 12, 0, 8, 0, 1]], [5, [108, 0, 81, 0, 17, 0, 1]], [17, [-3888, 0, 1089, 0, -78, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036065026737181, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 192, 'hecke_ring_index_factorization': [[2, 6], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 39, 4, -1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1053.2.b.k', 'level': 1053, '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': [3, 13], 'level_radical': 39, 'minimal_twist': '1053.2.b.k', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{5}q^{2}+(-1+\\beta _{2})q^{4}-\\beta _{4}q^{5}-\\beta _{6}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1053.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1707829117144863149, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.260', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1165.114', 'prec': 27}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '192927.411', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.763', 'prec': 17}, 'traces': [12, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 16, 0, 0, 0, 0, 0, -32, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 20, 0, 0, 4, 0, 0, 0, 0, 0, -56, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 4, 0, 0, 0, 0, 0, 32, 0, 0, 12, 0, 0, 76, 0, 0, 0, 0, 0, -52, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 100, 0, 0, 0, 0, 0, 16, 0, 0, 64, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 24, 0, 0, 0, 0, 0, -32, 0, 0, 12, 0, 0, 116, 0, 0, 0, 0, 0, -8, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 136, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, -1, 0, 0, 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0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -6, -13, 0, 0, -2], [0, 0, 0, 3, -5, 11, 0, 0, 0, 0, 0, 0], [-13, 7, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 0, -2, 3, 0], [0, 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 6], [0, 0, 0, 0, 0, 0, -11, 0, 0, 1, 14, 0], [-3, 11, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 3, 0, 0, 7], [0, 0, 0, 0, 0, 0, 11, 0, 0, -9, -1, 0], [29, 12, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, -8, 14, 0, 0, 0, 0, 0, 0], [11, -17, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -4, -6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, -18, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -7, 0, 0, 8, 5, 0], [0, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, 2], [-4, 7, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -7, 0, 0, 2, -14, 0], [0, 0, 0, 0, 0, 0, 19, 0, 0, -7, -5, 0], [20, -6, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-28, 1, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -4, 0, 0, -2, -5, 0], [0, 0, 0, -4, -4, -19, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -22, 0, 0, -6, 3, 0], [0, 0, 0, 0, 0, 0, -19, 0, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0, 0, 9, 21, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 10], [0, 0, 0, 0, 0, 0, -14, 0, 0, -7, 9, 0], [0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 13], [0, 0, 0, 0, 0, 0, -13, 0, 0, -7, -15, 0], [0, 0, 0, 0, 0, 0, -11, 0, 0, 1, -9, 0], [0, 0, 0, 0, 0, 0, 0, 2, 26, 0, 0, 4], [-7, -2, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -12, -4, 12, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0, 0, -5, 8, 0], [0, 0, 0, 0, 0, 0, 0, -2, 7, 0, 0, -4], [0, 0, 0, 0, 0, 0, 0, 7, -12, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, -25, 0, 0, -2], [0, 0, 0, 4, 16, -6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 4, -30, 0, 0, 0, 0, 0, 0], [45, 1, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, -8], [26, 18, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 17, 0, 0, -4], [0, 0, 0, 0, 0, 0, 0, -12, 10, 0, 0, 4], [0, 0, 0, 0, 0, 0, 18, 0, 0, -4, -13, 0], [-8, 11, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 10, 2, 0, 0, 0, 0, 0, 0], [17, -9, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 2, 'field_poly': [36, 0, -15, 0, 481, 0, 146, 0, 15, 0, -10, 0, 1], 'hecke_orbit_code': 45036065026737181, 'hecke_ring_character_values': [[326, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [730, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2120449, 2120449, 19084041, 19084041, 19084041, 12722694, 38168082, 124326, 4240898, 6361347, 19084041], 'hecke_ring_inverse_denominators': [1, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, -2, 1, 0, 0, -1], [2, -3, 1, 0, 2, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, -8, 19, -12, 6, -7], [17, -12, 7, -11, 22, -19, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 60, -41, 34, -129, 57, -16], [30, -11, 11, -74, 222, -173, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 600, 148, -173, -1053, 444, 74], [-814, 543, -329, -584, 1604, -1275, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3357, 4195, -5750, -6786, 2961, 2369], [-12010, 8793, -4952, -3142, 8563, -6819, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 14484, 49552, -68921, -27441, 11796, 28304]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-797771, 0, -8004, 0, 401378, 0, 193967, 0, -58361, 0, 4874, 0], [-6556544, 0, -15219, 0, 748884, 0, 356892, 0, -100637, 0, 7678, 0], [-318156, 0, -87182878, 0, -36090728, 0, -1618239, 0, 1880029, 0, -197122, 0], [-765978, 0, 105162953, 0, 27531784, 0, 3613308, 0, -2090483, 0, 207068, 0], [-832953, 0, 172236961, 0, 50966318, 0, 5201535, 0, -3510952, 0, 351640, 0], [0, 11259549, 0, 46221313, 0, 13685084, 0, 1760091, 0, -1021114, 0, 100429], [0, 36050217, 0, -120618929, 0, -52741750, 0, -4751529, 0, 3233372, 0, -316577], [0, -310161, 0, 1012495, 0, 309932, 0, 38919, 0, -22654, 0, 2209], [0, 10209735, 0, 42012431, 0, 12079572, 0, 984223, 0, -787670, 0, 80933], [0, 28720539, 0, 118221776, 0, 33840259, 0, 2402016, 0, -2115317, 0, 220151], [0, -147496206, 0, 484032820, 0, 161899190, 0, 18646005, 0, -11305774, 0, 1107589]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '1053.2.b.k', 'level': 1053, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4212, 'analytic_conductor': 8.408247332840824, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1053, 2, [326, 730], [2, 1]], 'conrey_index': 649, 'cusp_dim': 114, 'dim': 52, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 5, 17], 'hecke_orbit_code': 68753032221, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 10, 10, 12], 'label': '1053.2.b', 'level': 1053, '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': [3, 13], 'level_radical': 39, 'mf_dim': 138, 'mf_new_dim': 60, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 52, 'sturm_bound': 252, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [52, 0, 0, -44, 0, 0, 0, 0, 0, -28, 0, 0, -6, 0, 0, 36, 0, 0, 0, 0, 0, 20, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 20, 0, 0, 0, 0, 0, -20, 0, 0, 26, 0, 0, -28, 0, 0, 0, 0, 0, -12, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -28, 0, 0, 0, 0, 0, -92, 0, 0, 12, 0, 0, -40, 0, 0, 0, 0, 0, -16, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 64, 0, 0, 0, 0, 0, -24, 0, 0, 74, 0, 0, -108, 0, 0, 0, 0, 0, 80, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -96, 0, 0, 0, 0, 0, -52, 0, 0, -74, 0, 0, -40, 0, 0, 0, 0, 0, 200, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 12, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 72, 0, 0, 0, 0, 0, 196, 0, 0, -72, 0, 0, 76, 0, 0, 0, 0, 0, -268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 164, 0, 0, 0, 0, 0, -12, 0, 0, -88, 0, 0, 16, 0, 0, 0, 0, 0, -40, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 40, 0, 0, 0, 0, 0, 12, 0, 0, 164, 0, 0, 136, 0, 0, 0, 0, 0, 152, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, -100, 0, 0, 0, 0, 0, -200, 0, 0, -108, 0, 0, 68, 0, 0, 0, 0, 0, 60, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, -88, 0, 0, 0, 0, 0, 76, 0, 0, 168, 0, 0, -156, 0, 0, 0, 0, 0, -88, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, -240, 0, 0, 0, 0, 0, -124, 0, 0, -342, 0, 0, -184, 0, 0, 0, 0, 0, -52, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, -188, 0, 0, 0, 0, 0, -28, 0, 0, 54, 0, 0, -400, 0, 0, 0, 0, 0, 680, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 364, 0, 0, -252, 0, 0, 0, 0, 0, 20, 0, 0, -206, 0, 0, -16, 0, 0, 0, 0, 0, 328, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, -24, 0, 0, 0, 0, 0, 92, 0, 0, -108, 0, 0, -304, 0, 0, 0, 0, 0, 16, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, -216, 0, 0, 0, 0, 0, 216, 0, 0, -204, 0, 0, 132, 0, 0, 0, 0, 0, -268, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 164, 0, 0, 0, 0, 0, 128, 0, 0, 6, 0, 0, -76, 0, 0, 0, 0, 0, -252, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -356, 0, 0, 132, 0, 0, 0, 0, 0, 380, 0, 0, 274, 0, 0, 480, 0, 0, 0, 0, 0, 224, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, -88, 0, 0, 0, 0, 0, -440, 0, 0, 116, 0, 0, 368, 0, 0, 0, 0, 0, -136, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, -220, 0, 0, 0, 0, 0, 56, 0, 0, 150, 0, 0, -24, 0, 0, 0, 0, 0, -180, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, -480, 0, 0, 0, 0, 0, -152, 0, 0, -226, 0, 0, -284, 0, 0, 0, 0, 0, -160, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -492, 0, 0, 80, 0, 0, 0, 0, 0, 228, 0, 0, 70, 0, 0, -28, 0, 0, 0, 0, 0, 232, 0, 0, 460, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, -124, 0, 0, 0, 0, 0, -468, 0, 0, -192, 0, 0, 720, 0, 0, 0, 0, 0, 496, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 216, 0, 0, 0, 0, 0, -300, 0, 0, -276, 0, 0, 200, 0, 0, 0, 0, 0, -168, 0, 0, -436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 144, 0, 0, 0, 0, 0, 868, 0, 0, -18, 0, 0, -360, 0, 0, 0, 0, 0, -508, 0, 0, -284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, -280, 0, 0, 0, 0, 0, 104, 0, 0, -144, 0, 0, 128, 0, 0, 0, 0, 0, -556, 0, 0, -160], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 633196
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1053.2.b.k', 'source_level': 1053, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1053.2.b.k', 'target_level': 1053, 'twist_class_label': '1053.2.b.k', 'twist_class_level': 1053, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 633197
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1053.2.b.k', 'source_level': 1053, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1053.2.b.k', 'target_level': 1053, 'twist_class_label': '1053.2.b.k', 'twist_class_level': 1053, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 633198
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1053.2.b.k', 'source_level': 1053, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1053.2.b.k', 'target_level': 1053, 'twist_class_label': '1053.2.b.k', 'twist_class_level': 1053, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 633199
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1053.2.b.k', 'source_level': 1053, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1053.2.b.k', 'target_level': 1053, 'twist_class_label': '1053.2.b.k', 'twist_class_level': 1053, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1638200
{'charpoly_factorization': [[[3, 0, 12, 0, 8, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 2}
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id: 1638201
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 45036065026737181, 'p': 3}
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id: 1638202
{'charpoly_factorization': [[[108, 0, 81, 0, 17, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 5}
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id: 1638203
{'charpoly_factorization': [[[9, 0, 24, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 7}
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id: 1638204
{'charpoly_factorization': [[[3, 0, 12, 0, 8, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 11}
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id: 1638205
{'charpoly_factorization': [[[2197, 338, -13, 20, -1, 2, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 13}
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id: 1638206
{'charpoly_factorization': [[[-3888, 0, 1089, 0, -78, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 17}
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id: 1638207
{'charpoly_factorization': [[[81, 0, 195, 0, 51, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 19}
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id: 1638208
{'charpoly_factorization': [[[-8748, 0, 2349, 0, -93, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 23}
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id: 1638209
{'charpoly_factorization': [[[-25947, 0, 3132, 0, -108, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 29}
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id: 1638210
{'charpoly_factorization': [[[138384, 0, 8205, 0, 159, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 31}
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id: 1638211
{'charpoly_factorization': [[[1296, 0, 1437, 0, 75, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 37}
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id: 1638212
{'charpoly_factorization': [[[26508, 0, 3009, 0, 101, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 41}
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id: 1638213
{'charpoly_factorization': [[[124, -27, -6, 1], 4]], 'hecke_orbit_code': 45036065026737181, 'p': 43}
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id: 1638214
{'charpoly_factorization': [[[33708, 0, 5829, 0, 158, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 47}
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id: 1638215
{'charpoly_factorization': [[[-34992, 0, 27576, 0, -339, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 53}
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id: 1638216
{'charpoly_factorization': [[[177147, 0, 13851, 0, 233, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 59}
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id: 1638217
{'charpoly_factorization': [[[67, 56, 14, 1], 4]], 'hecke_orbit_code': 45036065026737181, 'p': 61}
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id: 1638218
{'charpoly_factorization': [[[5184, 0, 4293, 0, 159, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 67}
-
id: 1638219
{'charpoly_factorization': [[[5547, 0, 6075, 0, 281, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 71}
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id: 1638220
{'charpoly_factorization': [[[186624, 0, 23301, 0, 342, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 73}
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id: 1638221
{'charpoly_factorization': [[[-134, 77, 20, 1], 4]], 'hecke_orbit_code': 45036065026737181, 'p': 79}
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id: 1638222
{'charpoly_factorization': [[[482403, 0, 23403, 0, 305, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 83}
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id: 1638223
{'charpoly_factorization': [[[12, 0, 201, 0, 53, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 89}
-
id: 1638224
{'charpoly_factorization': [[[3069504, 0, 69936, 0, 492, 0, 1], 2]], 'hecke_orbit_code': 45036065026737181, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 11, 'label': '1053.2.b.k', 'level': 1053, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55378129
{'hecke_orbit_code': 45036065026737181, 'n': 1, 'trace_an': 12}
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id: 55378130
{'hecke_orbit_code': 45036065026737181, 'n': 2, 'trace_an': 0}
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id: 55378131
{'hecke_orbit_code': 45036065026737181, 'n': 3, 'trace_an': 0}
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id: 55378132
{'hecke_orbit_code': 45036065026737181, 'n': 4, 'trace_an': -8}
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id: 55378133
{'hecke_orbit_code': 45036065026737181, 'n': 5, 'trace_an': 0}
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id: 55378134
{'hecke_orbit_code': 45036065026737181, 'n': 6, 'trace_an': 0}
-
id: 55378135
{'hecke_orbit_code': 45036065026737181, 'n': 7, 'trace_an': 0}
-
id: 55378136
{'hecke_orbit_code': 45036065026737181, 'n': 8, 'trace_an': 0}
-
id: 55378137
{'hecke_orbit_code': 45036065026737181, 'n': 9, 'trace_an': 0}
-
id: 55378138
{'hecke_orbit_code': 45036065026737181, 'n': 10, 'trace_an': 4}
-
id: 55378139
{'hecke_orbit_code': 45036065026737181, 'n': 11, 'trace_an': 0}
-
id: 55378140
{'hecke_orbit_code': 45036065026737181, 'n': 12, 'trace_an': 0}
-
id: 55378141
{'hecke_orbit_code': 45036065026737181, 'n': 13, 'trace_an': -4}
-
id: 55378142
{'hecke_orbit_code': 45036065026737181, 'n': 14, 'trace_an': 0}
-
id: 55378143
{'hecke_orbit_code': 45036065026737181, 'n': 15, 'trace_an': 0}
-
id: 55378144
{'hecke_orbit_code': 45036065026737181, 'n': 16, 'trace_an': 16}
-
id: 55378145
{'hecke_orbit_code': 45036065026737181, 'n': 17, 'trace_an': 0}
-
id: 55378146
{'hecke_orbit_code': 45036065026737181, 'n': 18, 'trace_an': 0}
-
id: 55378147
{'hecke_orbit_code': 45036065026737181, 'n': 19, 'trace_an': 0}
-
id: 55378148
{'hecke_orbit_code': 45036065026737181, 'n': 20, 'trace_an': 0}
-
id: 55378149
{'hecke_orbit_code': 45036065026737181, 'n': 21, 'trace_an': 0}
-
id: 55378150
{'hecke_orbit_code': 45036065026737181, 'n': 22, 'trace_an': -32}
-
id: 55378151
{'hecke_orbit_code': 45036065026737181, 'n': 23, 'trace_an': 0}
-
id: 55378152
{'hecke_orbit_code': 45036065026737181, 'n': 24, 'trace_an': 0}
-
id: 55378153
{'hecke_orbit_code': 45036065026737181, 'n': 25, 'trace_an': -8}
-
id: 55378154
{'hecke_orbit_code': 45036065026737181, 'n': 26, 'trace_an': 0}
-
id: 55378155
{'hecke_orbit_code': 45036065026737181, 'n': 27, 'trace_an': 0}
-
id: 55378156
{'hecke_orbit_code': 45036065026737181, 'n': 28, 'trace_an': 0}
-
id: 55378157
{'hecke_orbit_code': 45036065026737181, 'n': 29, 'trace_an': 0}
-
id: 55378158
{'hecke_orbit_code': 45036065026737181, 'n': 30, 'trace_an': 0}
-
id: 55378159
{'hecke_orbit_code': 45036065026737181, 'n': 31, 'trace_an': 0}
-
id: 55378160
{'hecke_orbit_code': 45036065026737181, 'n': 32, 'trace_an': 0}
-
id: 55378161
{'hecke_orbit_code': 45036065026737181, 'n': 33, 'trace_an': 0}
-
id: 55378162
{'hecke_orbit_code': 45036065026737181, 'n': 34, 'trace_an': 0}
-
id: 55378163
{'hecke_orbit_code': 45036065026737181, 'n': 35, 'trace_an': 0}
-
id: 55378164
{'hecke_orbit_code': 45036065026737181, 'n': 36, 'trace_an': 0}
-
id: 55378165
{'hecke_orbit_code': 45036065026737181, 'n': 37, 'trace_an': 0}
-
id: 55378166
{'hecke_orbit_code': 45036065026737181, 'n': 38, 'trace_an': 0}
-
id: 55378167
{'hecke_orbit_code': 45036065026737181, 'n': 39, 'trace_an': 0}
-
id: 55378168
{'hecke_orbit_code': 45036065026737181, 'n': 40, 'trace_an': -52}
-
id: 55378169
{'hecke_orbit_code': 45036065026737181, 'n': 41, 'trace_an': 0}
-
id: 55378170
{'hecke_orbit_code': 45036065026737181, 'n': 42, 'trace_an': 0}
-
id: 55378171
{'hecke_orbit_code': 45036065026737181, 'n': 43, 'trace_an': 24}
-
id: 55378172
{'hecke_orbit_code': 45036065026737181, 'n': 44, 'trace_an': 0}
-
id: 55378173
{'hecke_orbit_code': 45036065026737181, 'n': 45, 'trace_an': 0}
-
id: 55378174
{'hecke_orbit_code': 45036065026737181, 'n': 46, 'trace_an': 0}
-
id: 55378175
{'hecke_orbit_code': 45036065026737181, 'n': 47, 'trace_an': 0}
-
id: 55378176
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{'hecke_orbit_code': 45036065026737181, 'n': 977, 'trace_an': 0}
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id: 55378384
{'hecke_orbit_code': 45036065026737181, 'n': 983, 'trace_an': 0}
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id: 55378385
{'hecke_orbit_code': 45036065026737181, 'n': 991, 'trace_an': -72}
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id: 55378386
{'hecke_orbit_code': 45036065026737181, 'n': 997, 'trace_an': -192}