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mf_newforms • Show schema
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{'Nk2': 1680, 'analytic_conductor': 3.353716884893776, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 60, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [420, 2, [211, 281, 337, 241], [1, 1, 1, 2]], 'cm_discs': [], 'conrey_index': 239, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [-18, 0, 1]], [17, [-18, 0, 1]], [43, [-8, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 755947798948, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 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, 20, 4, -1, 2, 0], [1, 1, 60, 8, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '420.2.l.a', 'level': 420, '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': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '420.2.l.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 8, 'qexp_display': 'q-\\beta_{2} q^{2}+(\\beta_{2}-1)q^{3}-2 q^{4}+\\beta_{3} q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '420.2.l', 'trace_display': [0, -4, 0, 4], 'trace_hash': 1576065550498009643, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.556', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.249', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [-1, 0, 1, 0], [-2, 0, 0, 0], [0, 0, 0, 1], [2, 0, 1, 0], [1, 0, 0, 0], [0, 0, 2, 0], [-1, 0, -2, 0], [1, -1, 0, 0], [0, 0, 1, -2], [2, 0, -2, 0], [0, 2, 0, 0], [0, 0, -1, 0], [-1, 1, 0, -1], [4, 0, 0, 0], [0, 0, -1, 2], [-4, 0, 1, 0], [0, 2, 0, 0], [0, 0, 0, -2], [-1, 0, 1, 0], [0, 2, 0, 0], [0, 0, 1, 0], [-4, 0, -2, 0], [4, 1, 0, 0], [0, 0, -2, 4], [5, 0, 1, 0], [-2, 0, 0, 0], [0, 0, -2, 0], [-1, 1, 0, 2], [0, 0, 0, 0], [0, 0, -4, 0], [0, -2, -1, 2], [0, -2, 0, 0], [0, 0, 0, 1], [2, 0, 4, 0], [0, 2, 0, 0], [0, 0, -2, 4], [0, -2, 2, -4], [-2, 2, 0, 0], [0, 0, 1, 0], [2, 0, 1, 0], [8, 0, 0, 0], [0, 0, -2, 4], [2, -2, 0, -1], [2, 0, 0, 0], [0, 0, -2, 0], [-4, 0, 4, 0], [1, 0, 0, 0], [0, 0, -5, 2], [0, 2, 1, -2], [0, -4, 0, 0], [0, 0, 2, -4], [2, 0, -5, 0], [-9, -1, 0, 0], [0, 0, 2, 0], [0, -2, 2, -4], [-4, 0, 0, 0], [0, 0, 0, 0], [2, -2, 0, 2], [-10, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -2, 0], [-8, 0, 0, 0], [0, 0, 10, -2], [0, -2, 2, -4], [-4, 0, 0, 0], [0, 0, 2, -4], [-2, 0, -1, 0], [1, -1, 0, 0], [0, 0, -3, 6], [8, 0, -2, 0], [0, -2, 0, 0], [0, 0, -2, 4], [-4, -1, 5, -2], [0, -4, 0, 0], [0, 0, 1, -2], [0, 4, 2, -4], [0, 0, 0, 0], [0, 0, 0, 4], [-7, 0, 4, 0], [2, 0, 0, 0], [0, 0, -2, 0], [2, 0, -2, 0], [9, 1, 0, 0], [0, 0, -8, 0], [4, 0, 2, 0], [0, -4, 0, 0], [0, 0, -5, 0], [-1, 1, 0, -4], [0, 2, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 10, -2], [8, 0, 4, 0], [0, -2, 0, 0], [0, 0, -1, 0], [0, 4, -1, 2], [-8, -2, 0, 0]], 'ap': [[0, 0, -1, 0], [-1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 1, -2], [0, 2, 0, 0], [0, 0, -1, 2], [0, 2, 0, 0], [0, 0, 1, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 1, 0], [8, 0, 0, 0], [0, 0, -2, 0], [0, 0, 2, -4], [0, 0, 0, 0], [-10, 0, 0, 0], [-4, 0, 0, 0], [0, 0, -3, 6], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, -5, 0], [0, -2, 0, 0], [0, 0, -11, 0], [14, 0, 0, 0], [0, 0, -5, 0], [2, 0, 0, 0], [0, 0, -2, 4], [-16, 0, 0, 0], [0, 0, 2, -4], [0, 0, 4, -8], [0, -4, 0, 0], [0, 0, -8, 0], [0, -4, 0, 0], [0, 6, 0, 0], [20, 0, 0, 0], [0, 0, 10, 0], [0, 0, -3, 6], [0, 0, -1, 2], [2, 0, 0, 0], [0, 0, -3, 6], [0, 6, 0, 0], [0, 0, -6, 12], [0, -2, 0, 0], [0, -4, 0, 0], [8, 0, 0, 0], [0, 0, 16, 0], [14, 0, 0, 0], [0, 0, 4, -8], [0, 0, 1, -2], [26, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 2], [0, 0, -11, 0], [0, 0, 13, 0], [0, 8, 0, 0], [0, 2, 0, 0], [0, 0, -2, 0], [-4, 0, 0, 0], [0, 0, -5, 10], [20, 0, 0, 0], [0, 0, 6, -12], [0, -6, 0, 0], [0, 0, 6, -12], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 1, 0], [26, 0, 0, 0], [0, 0, 1, -2], [0, 0, 1, -2], [8, 0, 0, 0], [0, 4, 0, 0], [0, -12, 0, 0], [0, 0, -8, 0], [0, 0, -2, 0], [0, -10, 0, 0], [0, 0, 10, 0], [-22, 0, 0, 0], [0, 0, 4, -8], [8, 0, 0, 0], [0, 0, -1, 2], [0, -6, 0, 0], [0, 6, 0, 0], [0, 0, 25, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, -11, 0], [-4, 0, 0, 0], [0, 0, 4, 0], [0, 0, -2, 4], [20, 0, 0, 0], [0, 0, 7, -14], [0, 4, 0, 0], [0, 0, 4, 0], [0, 0, -17, 0], [0, 0, -5, 0], [-34, 0, 0, 0], [-16, 0, 0, 0], [-28, 0, 0, 0], [0, 0, 2, -4], [0, 0, -8, 0], [0, 0, -2, 0], [0, 12, 0, 0], [0, -14, 0, 0], [0, 0, -20, 0], [0, 0, 1, -2], [0, 0, -3, 6], [-10, 0, 0, 0], [32, 0, 0, 0], [0, -8, 0, 0], [0, 0, 4, -8], [0, -4, 0, 0], [0, -12, 0, 0], [0, 0, 34, 0], [-4, 0, 0, 0], [0, 0, 22, 0], [0, 0, -4, 8], [0, 0, -1, 2], [14, 0, 0, 0], [0, 10, 0, 0], [0, 0, -3, 6], [0, 0, -23, 0], [0, -12, 0, 0], [0, 0, -14, 0], [-10, 0, 0, 0], [0, 0, -8, 16], [26, 0, 0, 0], [0, -2, 0, 0], [0, -8, 0, 0], [0, 0, 1, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 37, 0], [14, 0, 0, 0], [0, 0, -7, 14], [-22, 0, 0, 0], [0, 0, 1, -2], [0, 0, -32, 0], [0, 12, 0, 0], [0, 0, 16, 0], [-40, 0, 0, 0], [0, 0, -23, 0], [2, 0, 0, 0], [0, 0, -10, 20], [0, 10, 0, 0], [0, 0, -5, 10], [0, -2, 0, 0], [0, 0, 13, 0], [0, -8, 0, 0], [0, 0, -5, 0], [-16, 0, 0, 0], [0, 0, 10, 0], [8, 0, 0, 0], [0, 0, -1, 2], [0, -4, 0, 0], [0, 0, -29, 0], [0, -6, 0, 0], [0, 0, 19, 0], [0, 0, 7, 0], [0, 0, -6, 12], [-4, 0, 0, 0], [0, 0, 10, -20], [0, 0, 0, 0], [0, 0, -20, 0], [0, -20, 0, 0], [0, 14, 0, 0]], 'char_orbit_index': 12, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 755947798948, 'hecke_ring_character_values': [[211, [-1, 0, 0, 0]], [281, [-1, 0, 0, 0]], [337, [-1, 0, 0, 0]], [241, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 2, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 3, 0], [0, 1, 0, 1], [0, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '420.2.l.a', 'level': 420, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1680, 'analytic_conductor': 3.353716884893776, 'char_conductor': 60, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [420, 2, [211, 281, 337, 241], [1, 1, 1, 2]], 'conrey_index': 239, 'cusp_dim': 88, 'dim': 72, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17, 43], 'hecke_orbit_code': 755947798948, 'hecke_orbit_dims': [4, 4, 8, 8, 8, 8, 16, 16], 'label': '420.2.l', 'level': 420, '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': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 104, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 8, 'relative_dim': 72, 'sturm_bound': 192, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -24, 0, 0, 0, -32, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, -24, -24, 0, 0, 72, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 52, -64, 0, 0, 52, 0, -76, 0, 0, -48, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, 0, -56, 0, 0, 0, -152, 0, 60, 0, 0, 0, -52, 0, 0, 0, 0, 8, -40, 0, 0, -16, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 96, 88, 0, 0, 80, 0, 20, 0, 0, 0, 40, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 72, 0, 0, -92, -80, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 64, 0, 0, 0, -144, 0, 0, 0, 0, -48, 136, 0, 0, -216, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 28, -160, 0, 0, 120, 0, 16, 0, 0, 24, 168, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -192, 0, 0, -40, 104, 0, 0, 0, 0, -32, 0, 0, 0, -72, 0, -84, 0, 0, 0, 136, 0, 0, 0, 0, 104, 40, 0, 0, 128, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -36, 80, 0, 0, 32, 0, 88, 0, 0, 32, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 56, 0, 0, -48, -80, 0, 0, 0, 0, -104, 0, 0, 0, -104, 0, 264, 0, 0, 0, -60, 0, 0, 0, 0, -88, -88, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 56, 0, -44, 0, 0, -216, -120, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, -128, 0, 0, -92, 64, 0, 0, 0, 0, -120, 0, 0, 0, 72, 0, -56, 0, 0, 0, -160, 0, 0, 0, 0, 56, 424, 0, 0, 96, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -196, 72, 0, 0, -24, 0, -136, 0, 0, 128, 40, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 160, 0, 0, 100, -40, 0, 0, 0, 0, 64, 0, 0, 0, -8, 0, -192, 0, 0, 0, 12, 0, 0, 0, 0, -112, -128, 0, 0, -48, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 44, -272, 0, 0, -152, 0, 128, 0, 0, 120, -176, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 0, 0, -192, 264, 0, 0, 0, 0, 144, 0, 0, 0, 208, 0, -312, 0, 0, 0, -32, 0, 0, 0, 0, 192, -344, 0, 0, -16, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 56, 128, 0, 0, -380, 0, -440, 0, 0, 192, 8, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 264, 0, 0, 64, 40, 0, 0, 0, 0, -28, 0, 0, 0, -24, 0, 8, 0, 0, 0, 184, 0, 0, 0, 0, -80, -40, 0, 0, -24, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 76, -240, 0, 0, 136, 0, 116, 0, 0, -96, 144, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, -136, 0, 0, 280, -176, 0, 0, 0, 0, 332, 0, 0, 0, 120, 0, 244, 0, 0, 0, 192, 0, 0, 0, 0, 168, -88, 0, 0, -112, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -144, 432, 0, 0, -72, 0, 464, 0, 0, -72, 96, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 176, 0, 0, 144, -392, 0, 0, 0, 0, -72, 0, 0, 0, 232, 0, -128, 0, 0, 0, 360, 0, 0, 0, 0, 128, 112, 0, 0, -352, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -240, -224, 0, 0, -136, 0, 376, 0, 0, 184, -336, 0, 0, 0, 0, 0, 484, 0, 0, 0, 0, -104, 0, 0, 208, 48, 0, 0, 0, 0, -120, 0, 0, 0, 328, 0, 472, 0, 0, 0, -56, 0, 0, 0, 0, 0, -160, 0, 0, 160, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 60, 0, 0, 0, 176, 0, -196, 0, 0, 408, -152, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 160, 0, 0, -24, 0, 0, 0, 0, 0, -112, 0, 0, 0, 56, 0, -200, 0, 0, 0, 24, 0, 0, 0, 0, -384, 352, 0, 0, 80, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -460, 0, 0, 0, -12, 0, -376, 0, 0, -544, 272, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, -144, 0, 0, 312, 56, 0, 0, 0, 0, 204, 0, 0, 0, -256, 0, -440, 0, 0, 0, -392, 0, 0, 0, 0, 64, -208, 0, 0, -288, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 108, 152, 0, 0, -40, 0, 284, 0, 0, -344, -688, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -124, -312, 0, 0, 0, 0, 352, 0, 0, 0, 112, 0, -496, 0, 0, 0, 216, 0, 0, 0, 0, -184, 24, 0, 0, 16, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 156, -96, 0, 0, -72, 0, -572, 0, 0, 64, 144, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, -296, 0, 0, 88, -48, 0, 0, 0, 0, -152, 0, 0, 0, -32, 0, 184, 0, 0, 0, 424, 0, 0, 0, 0, 104, -592, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 276, -24, 0, 0, -200, 0, 184, 0, 0, 112, 440, 0, 0, 0, 0, 0, -1104, 0, 0, 0, 0, 360, 0, 0, 224, 336, 0, 0, 0, 0, 596, 0, 0, 0, -16, 0, 344, 0, 0, 0, -256], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 309400
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '420.2.l.a', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 309401
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '420.2.l.a', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 309402
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '420.2.l.a', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 309403
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '420.2.l.a', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 309404
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '420.2.l.b', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 309405
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '420.2.l.b', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 309406
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '420.2.l.b', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 309407
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '420.2.l.a', 'source_level': 420, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '420.2.l.b', 'target_level': 420, 'twist_class_label': '420.2.l.a', 'twist_class_level': 420, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 861775
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 2}
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id: 861776
{'charpoly_factorization': [[[3, 2, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 3}
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id: 861777
{'charpoly_factorization': [[[25, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 755947798948, 'p': 5}
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id: 861778
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 755947798948, 'p': 7}
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id: 861779
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 11}
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id: 861780
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 13}
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id: 861781
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 17}
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id: 861782
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 19}
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id: 861783
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 23}
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id: 861784
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 29}
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id: 861785
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798948, 'p': 31}
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id: 861786
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 37}
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id: 861787
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 41}
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id: 861788
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 755947798948, 'p': 43}
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id: 861789
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 47}
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id: 861790
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 53}
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id: 861791
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798948, 'p': 59}
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id: 861792
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 755947798948, 'p': 61}
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id: 861793
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 755947798948, 'p': 67}
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id: 861794
{'charpoly_factorization': [[[-162, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 71}
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id: 861795
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 73}
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id: 861796
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798948, 'p': 79}
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id: 861797
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 83}
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id: 861798
{'charpoly_factorization': [[[50, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 89}
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id: 861799
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 755947798948, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '420.2.l.a', 'level': 420, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 10887150
{'hecke_orbit_code': 755947798948, 'n': 1, 'trace_an': 4}
-
id: 10887151
{'hecke_orbit_code': 755947798948, 'n': 2, 'trace_an': 0}
-
id: 10887152
{'hecke_orbit_code': 755947798948, 'n': 3, 'trace_an': -4}
-
id: 10887153
{'hecke_orbit_code': 755947798948, 'n': 4, 'trace_an': -8}
-
id: 10887154
{'hecke_orbit_code': 755947798948, 'n': 5, 'trace_an': 0}
-
id: 10887155
{'hecke_orbit_code': 755947798948, 'n': 6, 'trace_an': 8}
-
id: 10887156
{'hecke_orbit_code': 755947798948, 'n': 7, 'trace_an': 4}
-
id: 10887157
{'hecke_orbit_code': 755947798948, 'n': 8, 'trace_an': 0}
-
id: 10887158
{'hecke_orbit_code': 755947798948, 'n': 9, 'trace_an': -4}
-
id: 10887159
{'hecke_orbit_code': 755947798948, 'n': 10, 'trace_an': 4}
-
id: 10887160
{'hecke_orbit_code': 755947798948, 'n': 11, 'trace_an': 0}
-
id: 10887161
{'hecke_orbit_code': 755947798948, 'n': 12, 'trace_an': 8}
-
id: 10887162
{'hecke_orbit_code': 755947798948, 'n': 13, 'trace_an': 0}
-
id: 10887163
{'hecke_orbit_code': 755947798948, 'n': 14, 'trace_an': 0}
-
id: 10887164
{'hecke_orbit_code': 755947798948, 'n': 15, 'trace_an': -4}
-
id: 10887165
{'hecke_orbit_code': 755947798948, 'n': 16, 'trace_an': 16}
-
id: 10887166
{'hecke_orbit_code': 755947798948, 'n': 17, 'trace_an': 0}
-
id: 10887167
{'hecke_orbit_code': 755947798948, 'n': 18, 'trace_an': -16}
-
id: 10887168
{'hecke_orbit_code': 755947798948, 'n': 19, 'trace_an': 0}
-
id: 10887169
{'hecke_orbit_code': 755947798948, 'n': 20, 'trace_an': 0}
-
id: 10887170
{'hecke_orbit_code': 755947798948, 'n': 21, 'trace_an': -4}
-
id: 10887171
{'hecke_orbit_code': 755947798948, 'n': 22, 'trace_an': 0}
-
id: 10887172
{'hecke_orbit_code': 755947798948, 'n': 23, 'trace_an': 0}
-
id: 10887173
{'hecke_orbit_code': 755947798948, 'n': 24, 'trace_an': -16}
-
id: 10887174
{'hecke_orbit_code': 755947798948, 'n': 25, 'trace_an': 16}
-
id: 10887175
{'hecke_orbit_code': 755947798948, 'n': 26, 'trace_an': 0}
-
id: 10887176
{'hecke_orbit_code': 755947798948, 'n': 27, 'trace_an': 20}
-
id: 10887177
{'hecke_orbit_code': 755947798948, 'n': 28, 'trace_an': -8}
-
id: 10887178
{'hecke_orbit_code': 755947798948, 'n': 29, 'trace_an': 0}
-
id: 10887179
{'hecke_orbit_code': 755947798948, 'n': 30, 'trace_an': -4}
-
id: 10887180
{'hecke_orbit_code': 755947798948, 'n': 31, 'trace_an': 0}
-
id: 10887181
{'hecke_orbit_code': 755947798948, 'n': 32, 'trace_an': 0}
-
id: 10887182
{'hecke_orbit_code': 755947798948, 'n': 33, 'trace_an': 0}
-
id: 10887183
{'hecke_orbit_code': 755947798948, 'n': 34, 'trace_an': 0}
-
id: 10887184
{'hecke_orbit_code': 755947798948, 'n': 35, 'trace_an': 0}
-
id: 10887185
{'hecke_orbit_code': 755947798948, 'n': 36, 'trace_an': 8}
-
id: 10887186
{'hecke_orbit_code': 755947798948, 'n': 37, 'trace_an': 0}
-
id: 10887187
{'hecke_orbit_code': 755947798948, 'n': 38, 'trace_an': 0}
-
id: 10887188
{'hecke_orbit_code': 755947798948, 'n': 39, 'trace_an': 0}
-
id: 10887189
{'hecke_orbit_code': 755947798948, 'n': 40, 'trace_an': -8}
-
id: 10887190
{'hecke_orbit_code': 755947798948, 'n': 41, 'trace_an': 0}
-
id: 10887191
{'hecke_orbit_code': 755947798948, 'n': 42, 'trace_an': 8}
-
id: 10887192
{'hecke_orbit_code': 755947798948, 'n': 43, 'trace_an': 32}
-
id: 10887193
{'hecke_orbit_code': 755947798948, 'n': 44, 'trace_an': 0}
-
id: 10887194
{'hecke_orbit_code': 755947798948, 'n': 45, 'trace_an': 8}
-
id: 10887195
{'hecke_orbit_code': 755947798948, 'n': 46, 'trace_an': 8}
-
id: 10887196
{'hecke_orbit_code': 755947798948, 'n': 47, 'trace_an': 0}
-
id: 10887197
{'hecke_orbit_code': 755947798948, 'n': 48, 'trace_an': -16}
-
id: 10887198
{'hecke_orbit_code': 755947798948, 'n': 49, 'trace_an': 4}
-
id: 10887199
{'hecke_orbit_code': 755947798948, 'n': 50, 'trace_an': 0}
-
id: 10887200
{'hecke_orbit_code': 755947798948, 'n': 51, 'trace_an': 0}
-
id: 10887201
{'hecke_orbit_code': 755947798948, 'n': 52, 'trace_an': 0}
-
id: 10887202
{'hecke_orbit_code': 755947798948, 'n': 53, 'trace_an': 0}
-
id: 10887203
{'hecke_orbit_code': 755947798948, 'n': 54, 'trace_an': 8}
-
id: 10887204
{'hecke_orbit_code': 755947798948, 'n': 55, 'trace_an': -36}
-
id: 10887205
{'hecke_orbit_code': 755947798948, 'n': 56, 'trace_an': 0}
-
id: 10887206
{'hecke_orbit_code': 755947798948, 'n': 57, 'trace_an': 0}
-
id: 10887207
{'hecke_orbit_code': 755947798948, 'n': 58, 'trace_an': -16}
-
id: 10887208
{'hecke_orbit_code': 755947798948, 'n': 59, 'trace_an': 0}
-
id: 10887209
{'hecke_orbit_code': 755947798948, 'n': 60, 'trace_an': 8}
-
id: 10887210
{'hecke_orbit_code': 755947798948, 'n': 61, 'trace_an': -40}
-
id: 10887211
{'hecke_orbit_code': 755947798948, 'n': 62, 'trace_an': 0}
-
id: 10887212
{'hecke_orbit_code': 755947798948, 'n': 63, 'trace_an': -4}
-
id: 10887213
{'hecke_orbit_code': 755947798948, 'n': 64, 'trace_an': -32}
-
id: 10887214
{'hecke_orbit_code': 755947798948, 'n': 65, 'trace_an': 0}
-
id: 10887215
{'hecke_orbit_code': 755947798948, 'n': 66, 'trace_an': 0}
-
id: 10887216
{'hecke_orbit_code': 755947798948, 'n': 67, 'trace_an': -16}
-
id: 10887217
{'hecke_orbit_code': 755947798948, 'n': 68, 'trace_an': 0}
-
id: 10887218
{'hecke_orbit_code': 755947798948, 'n': 69, 'trace_an': -8}
-
id: 10887219
{'hecke_orbit_code': 755947798948, 'n': 70, 'trace_an': 4}
-
id: 10887220
{'hecke_orbit_code': 755947798948, 'n': 71, 'trace_an': 0}
-
id: 10887221
{'hecke_orbit_code': 755947798948, 'n': 72, 'trace_an': 32}
-
id: 10887222
{'hecke_orbit_code': 755947798948, 'n': 73, 'trace_an': 0}
-
id: 10887223
{'hecke_orbit_code': 755947798948, 'n': 74, 'trace_an': 0}
-
id: 10887224
{'hecke_orbit_code': 755947798948, 'n': 75, 'trace_an': -16}
-
id: 10887225
{'hecke_orbit_code': 755947798948, 'n': 76, 'trace_an': 0}
-
id: 10887226
{'hecke_orbit_code': 755947798948, 'n': 77, 'trace_an': 0}
-
id: 10887227
{'hecke_orbit_code': 755947798948, 'n': 78, 'trace_an': 0}
-
id: 10887228
{'hecke_orbit_code': 755947798948, 'n': 79, 'trace_an': 0}
-
id: 10887229
{'hecke_orbit_code': 755947798948, 'n': 80, 'trace_an': 0}
-
id: 10887230
{'hecke_orbit_code': 755947798948, 'n': 81, 'trace_an': -28}
-
id: 10887231
{'hecke_orbit_code': 755947798948, 'n': 82, 'trace_an': 8}
-
id: 10887232
{'hecke_orbit_code': 755947798948, 'n': 83, 'trace_an': 0}
-
id: 10887233
{'hecke_orbit_code': 755947798948, 'n': 84, 'trace_an': 8}
-
id: 10887234
{'hecke_orbit_code': 755947798948, 'n': 85, 'trace_an': 36}
-
id: 10887235
{'hecke_orbit_code': 755947798948, 'n': 86, 'trace_an': 0}
-
id: 10887236
{'hecke_orbit_code': 755947798948, 'n': 87, 'trace_an': 16}
-
id: 10887237
{'hecke_orbit_code': 755947798948, 'n': 88, 'trace_an': 0}
-
id: 10887238
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