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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 19.618579033941376, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [720, 2, [271, 181, 641, 577], [2, 2, 1, 1]], 'cm_discs': [], 'conrey_index': 449, 'conrey_indexes': [449], 'dim': 4, 'field_disc': 135424, 'field_disc_factorization': [[2, 8], [23, 2]], 'field_poly': [121, 0, 24, 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': [[7, [46, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737116656336, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 3, 2, -1, 2, 0], [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': '720.3.c.b', 'level': 720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '180.3.b.a', 'nf_label': '4.0.135424.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\beta _{1}-\\beta _{3})q^{5}+\\beta _{2}q^{7}+7\\beta _{1}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '720.3.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1525085283392809889, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.712', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.400', 'prec': 17}, {'__RealLiteral__': 0, 'data': '119.144', 'prec': 24}, {'__RealLiteral__': 0, 'data': 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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, -1], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [-12, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [21, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [38, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -23, 0, -2], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -49, 0, 0], [0, 0, 0, 0], [0, 0, -10, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -16], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-14, 0, -7, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -59, 0, 0], [0, 0, 0, 0], [-70, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 69, 0, 6], [0, 0, 0, 0], [0, 0, -16, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 84, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -14], [0, 0, 0, 0], [-30, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -28], [0, 0, 0, 0], [92, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -23, 0, 0], [0, 0, 0, 0], [138, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -12, 0, 12], [0, 0, 0, 0], [0, 0, -14, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, -1], [0, 0, 1, 0], [0, 7, 0, 0], [0, 0, -3, 0], [0, 0, 0, -4], [-12, 0, 0, 0], [0, 0, 0, 2], [0, 6, 0, 0], [38, 0, 0, 0], [0, 0, -1, 0], [0, -49, 0, 0], [0, 0, -10, 0], [0, 0, 0, -16], [0, 0, 0, 0], [0, -59, 0, 0], [-70, 0, 0, 0], [0, 0, -16, 0], [0, 84, 0, 0], [0, 0, -2, 0], [-30, 0, 0, 0], [0, 0, 0, -28], [0, -23, 0, 0], [0, 0, -14, 0], [0, -56, 0, 0], [0, 0, 13, 0], [0, 0, 0, 12], [74, 0, 0, 0], [0, 0, 0, -36], [0, 0, 25, 0], [0, 117, 0, 0], [0, 0, 0, 24], [-62, 0, 0, 0], [0, -112, 0, 0], [-70, 0, 0, 0], [0, 0, 7, 0], [0, 0, -14, 0], [0, 0, 0, 42], [0, 0, 0, 56], [0, -95, 0, 0], [-22, 0, 0, 0], [0, -138, 0, 0], [0, 0, 40, 0], [0, 0, 0, 34], [-294, 0, 0, 0], [42, 0, 0, 0], [0, 0, 29, 0], [0, 0, 0, -56], [-422, 0, 0, 0], [0, 0, 0, 44], [0, 50, 0, 0], [280, 0, 0, 0], [0, -57, 0, 0], [0, 0, 0, 0], [0, 0, 0, 14], [0, -186, 0, 0], [-322, 0, 0, 0], [0, 0, 5, 0], [0, 231, 0, 0], [0, 0, 16, 0], [0, 0, 0, -42], [0, 0, 24, 0], [0, -126, 0, 0], [0, 0, -8, 0], [0, 0, 0, -58], [-40, 0, 0, 0], [0, 0, -46, 0], [0, 0, 0, -84], [-406, 0, 0, 0], [0, 0, 0, -112], [0, -114, 0, 0], [0, 0, 37, 0], [0, 0, -15, 0], [-538, 0, 0, 0], [0, 0, 0, -56], [0, -350, 0, 0], [0, 0, 41, 0], [0, 175, 0, 0], [-242, 0, 0, 0], [0, -559, 0, 0], [358, 0, 0, 0], [0, 10, 0, 0], [0, 0, -38, 0], [690, 0, 0, 0], [0, 0, 0, -84], [0, -57, 0, 0], [0, 0, 50, 0], [0, -456, 0, 0], [0, 0, -39, 0], [0, 0, 0, -96], [0, 56, 0, 0], [0, 0, -117, 0], [0, 399, 0, 0], [72, 0, 0, 0], [0, 0, 0, 48], [0, 348, 0, 0], [0, 49, 0, 0], [0, 0, -50, 0], [-590, 0, 0, 0], [0, 0, 34, 0], [0, 0, 0, 144], [0, 0, 0, 4], [0, -77, 0, 0], [704, 0, 0, 0], [0, 0, -166, 0], [0, 0, 0, 204], [0, 0, 0, 0], [0, -210, 0, 0], [20, 0, 0, 0], [0, 0, -1, 0], [0, 0, 7, 0], [0, 0, 0, 8], [-178, 0, 0, 0], [154, 0, 0, 0], [0, -571, 0, 0], [0, 0, 150, 0], [0, 0, 0, 168], [0, 0, 0, -14], [0, -371, 0, 0], [74, 0, 0, 0], [0, 0, -102, 0], [0, 0, 0, -58], [0, 0, 0, -88], [68, 0, 0, 0], [0, 92, 0, 0], [-210, 0, 0, 0], [0, 86, 0, 0], [0, 0, -3, 0], [0, 0, 209, 0], [-416, 0, 0, 0], [0, 0, 0, -168], [-86, 0, 0, 0], [0, 0, -7, 0], [0, -261, 0, 0], [384, 0, 0, 0], [0, 0, 0, 42], [0, 0, 70, 0], [0, 0, 0, 104], [0, 1047, 0, 0], [602, 0, 0, 0], [0, 994, 0, 0], [0, 0, -189, 0], [0, 0, 0, 244], [1074, 0, 0, 0], [0, 526, 0, 0], [0, 0, -25, 0], [0, 0, 0, -24], [-154, 0, 0, 0], [0, 0, 0, 222], [0, 0, 205, 0], [0, -609, 0, 0], [0, 0, 150, 0], [0, 0, 0, -126], [0, 0, 138, 0], [0, -540, 0, 0], [54, 0, 0, 0], [0, -105, 0, 0], [0, 0, -116, 0], [0, 242, 0, 0], [0, 0, 0, -84], [0, 0, 0, 224], [0, 0, 59, 0], [0, -483, 0, 0], [0, 0, 0, -336], [0, 0, 0, -200], [-1054, 0, 0, 0], [0, 0, -177, 0]], 'char_orbit_index': 3, 'field_poly': [121, 0, 24, 0, 1], 'hecke_orbit_code': 4503737116656336, 'hecke_ring_character_values': [[271, [1, 0, 0, 0]], [181, [1, 0, 0, 0]], [641, [-1, 0, 0, 0]], [577, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 11, 11, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-12, 0, 0, 1], [0, 35, -13, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 13, 0, 1], [0, 35, 0, 1], [12, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '720.3.c.b', 'level': 720, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 19.618579033941376, 'char_conductor': 15, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [720, 2, [271, 181, 641, 577], [2, 2, 1, 1]], 'conrey_index': 449, 'cusp_dim': 264, 'dim': 24, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 137489285840, 'hecke_orbit_dims': [4, 4, 4, 12], 'label': '720.3.c', 'level': 720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 312, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 24, 'sturm_bound': 432, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -1024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 736, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 1888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, -1024, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1024, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -2944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1016, 0, 0, 0, 0, 0, 1280, 0, 0, 0, 0, 0, -640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, 3680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, -2400, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1312, 0, 0, 0, 0, 0, -736, 0, 0, 0, 0, 0, -4224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1952, 0, 0, 0, 0, 0, 3104, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2944, 0, 0, 0, 0, 0, -1528, 0, 0, 0, 0, 0, 5824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -832, 0, 0, 0, 0, 0, -3296, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1568, 0, 0, 0, 0, 0, 968, 0, 0, 0, 0, 0, -7232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1832, 0, 0, 0, 0, 0, 5440, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 2072, 0, 0, 0, 0, 0, 7328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1984, 0, 0, 0, 0, 0, -5920, 0, 0, 0, 0, 0, 1104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5920, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 0, -8640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2656, 0, 0, 0, 0, 0, 4800, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2560, 0, 0, 0, 0, 0, -2152, 0, 0, 0, 0, 0, 10592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2656, 0, 0, 0, 0, 0, -8064, 0, 0, 0, 0, 0, -608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3168, 0, 0, 0, 0, 0, 1288, 0, 0, 0, 0, 0, -10560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5456, 0, 0, 0, 0, 0, 8224, 0, 0, 0, 0, 0, -4032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9408, 0, 0, 0, 0, 0, 2624, 0, 0, 0, 0, 0, 11936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2336, 0, 0, 0, 0, 0, -5600, 0, 0, 0, 0, 0, 1608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3808, 0, 0, 0, 0, 0, -3528, 0, 0, 0, 0, 0, -14400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6368, 0, 0, 0, 0, 0, 9728, 0, 0, 0, 0, 0, 2800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6400, 0, 0, 0, 0, 0, -4096, 0, 0, 0, 0, 0, 11296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4320, 0, 0, 0, 0, 0, -9600, 0, 0, 0, 0, 0, -2136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11584, 0, 0, 0, 0, 0, 2920, 0, 0, 0, 0, 0, -11968, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 466234
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 466235
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 466236
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 466237
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 466238
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 466239
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 466240
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 466241
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 466242
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.3.g.c', 'target_level': 900, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 466243
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.3.g.c', 'target_level': 900, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 466244
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 466245
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 466246
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 466247
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 466248
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 466249
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 466250
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 466251
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 3}
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id: 466252
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 466253
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 466254
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 466255
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 466256
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3600.3.l.r', 'target_level': 3600, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 466257
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '720.3.c.b', 'source_level': 720, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3600.3.l.r', 'target_level': 3600, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1244325
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737116656336, 'p': 2}
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id: 1244326
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737116656336, 'p': 3}
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id: 1244327
{'charpoly_factorization': [[[625, 0, -42, 0, 1], 1]], 'hecke_orbit_code': 4503737116656336, 'p': 5}
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id: 1244328
{'charpoly_factorization': [[[46, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 7}
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id: 1244329
{'charpoly_factorization': [[[98, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 11}
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id: 1244330
{'charpoly_factorization': [[[414, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 13}
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id: 1244331
{'charpoly_factorization': [[[-368, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 17}
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id: 1244332
{'charpoly_factorization': [[[12, 1], 4]], 'hecke_orbit_code': 4503737116656336, 'p': 19}
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id: 1244333
{'charpoly_factorization': [[[-92, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 23}
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id: 1244334
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 29}
-
id: 1244335
{'charpoly_factorization': [[[-38, 1], 4]], 'hecke_orbit_code': 4503737116656336, 'p': 31}
-
id: 1244336
{'charpoly_factorization': [[[46, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 37}
-
id: 1244337
{'charpoly_factorization': [[[4802, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 41}
-
id: 1244338
{'charpoly_factorization': [[[4600, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 43}
-
id: 1244339
{'charpoly_factorization': [[[-5888, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 47}
-
id: 1244340
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737116656336, 'p': 53}
-
id: 1244341
{'charpoly_factorization': [[[6962, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 59}
-
id: 1244342
{'charpoly_factorization': [[[70, 1], 4]], 'hecke_orbit_code': 4503737116656336, 'p': 61}
-
id: 1244343
{'charpoly_factorization': [[[11776, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 67}
-
id: 1244344
{'charpoly_factorization': [[[14112, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 71}
-
id: 1244345
{'charpoly_factorization': [[[184, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 73}
-
id: 1244346
{'charpoly_factorization': [[[30, 1], 4]], 'hecke_orbit_code': 4503737116656336, 'p': 79}
-
id: 1244347
{'charpoly_factorization': [[[-18032, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 83}
-
id: 1244348
{'charpoly_factorization': [[[1058, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 89}
-
id: 1244349
{'charpoly_factorization': [[[9016, 0, 1], 2]], 'hecke_orbit_code': 4503737116656336, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '720.3.c.b', 'level': 720, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 81849000
{'hecke_orbit_code': 4503737116656336, 'n': 1, 'trace_an': 4}
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id: 81849001
{'hecke_orbit_code': 4503737116656336, 'n': 2, 'trace_an': 0}
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id: 81849002
{'hecke_orbit_code': 4503737116656336, 'n': 3, 'trace_an': 0}
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id: 81849003
{'hecke_orbit_code': 4503737116656336, 'n': 4, 'trace_an': 0}
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id: 81849004
{'hecke_orbit_code': 4503737116656336, 'n': 5, 'trace_an': 0}
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id: 81849005
{'hecke_orbit_code': 4503737116656336, 'n': 6, 'trace_an': 0}
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id: 81849006
{'hecke_orbit_code': 4503737116656336, 'n': 7, 'trace_an': 0}
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id: 81849007
{'hecke_orbit_code': 4503737116656336, 'n': 8, 'trace_an': 0}
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id: 81849008
{'hecke_orbit_code': 4503737116656336, 'n': 9, 'trace_an': 0}
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id: 81849009
{'hecke_orbit_code': 4503737116656336, 'n': 10, 'trace_an': 0}
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id: 81849010
{'hecke_orbit_code': 4503737116656336, 'n': 11, 'trace_an': 0}
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id: 81849011
{'hecke_orbit_code': 4503737116656336, 'n': 12, 'trace_an': 0}
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id: 81849012
{'hecke_orbit_code': 4503737116656336, 'n': 13, 'trace_an': 0}
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id: 81849013
{'hecke_orbit_code': 4503737116656336, 'n': 14, 'trace_an': 0}
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