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mf_newforms • Show schema
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{'Nk2': 484, 'analytic_conductor': 0.9661898644574927, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [121, 5, [2], [4]], 'cm_discs': [], 'conrey_index': 3, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -1, 1, -1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936354619513, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 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': '121.2.c.d', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'minimal_twist': '121.2.a.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{10}+\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{2}+2\\zeta_{10}^{2}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '121.2.c', 'trace_display': [1, -2, -1, -2], 'trace_hash': 1701108861933488354, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.983', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.512', 'prec': 17}, {'__RealLiteral__': 0, 'data': '102.722', 'prec': 24}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, -1, 1, -1], [0, 0, 2, 0], [0, 0, 0, 1], [0, -1, 0, 0], [0, 2, 0, 0], [0, 0, 0, -2], [0, 0, 3, 0], [-1, 1, -1, 1], [-1, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [1, -1, 1, -1], [0, 0, -2, 0], [0, 0, 0, -2], [0, 1, 0, 0], [0, -5, 0, 0], [0, 0, 0, 1], [0, 0, -6, 0], [1, -1, 1, -1], [4, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [-6, 6, -6, 6], [0, 0, -4, 0], [0, 0, 0, -1], [0, 4, 0, 0], [0, 2, 0, 0], [0, 0, 0, 9], [0, 0, -2, 0], [2, -2, 2, -2], [-5, 0, 0, 0], [0, 0, 0, 0], [-5, 0, 0, 0], [-2, 2, -2, 2], [0, 0, -1, 0], [0, 0, 0, 3], [0, -6, 0, 0], [0, 2, 0, 0], [0, 0, 0, -3], [0, 0, 5, 0], [4, -4, 4, -4], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [2, -2, 2, -2], [0, 0, 2, 0], [0, 0, 0, 2], [0, 3, 0, 0], [0, -4, 0, 0], [0, 0, 0, -10], [0, 0, 1, 0], [-9, 9, -9, 9], [4, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 0], [12, -12, 12, -12], [0, 0, 9, 0], [0, 0, 0, -8], [0, 2, 0, 0], [0, 6, 0, 0], [0, 0, 0, -2], [0, 0, 2, 0], [-7, 7, -7, 7], [-1, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [5, -5, 5, -5], [0, 0, 4, 0], [0, 0, 0, 2], [0, -12, 0, 0], [0, -3, 0, 0], [0, 0, 0, -2], [0, 0, 3, 0], [8, -8, 8, -8], [6, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [-10, 10, -10, 10], [0, 0, -1, 0], [0, 0, 0, 11], [0, 5, 0, 0], [0, 6, 0, 0], [0, 0, 0, 4], [0, 0, 5, 0], [0, 0, 0, 0], [-18, 0, 0, 0], [0, 0, 0, 0], [-9, 0, 0, 0], [1, -1, 1, -1], [0, 0, -2, 0], [0, 0, 0, 2], [0, 4, 0, 0], [0, 2, 0, 0], [0, 0, 0, 6], [0, 0, -10, 0], [13, -13, 13, -13], [3, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0]], 'ap': [[1, -1, 1, -1], [0, 0, 2, 0], [0, -1, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [1, -1, 1, -1], [0, -5, 0, 0], [0, 0, -6, 0], [2, 0, 0, 0], [0, 0, 0, 9], [2, -2, 2, -2], [0, 0, 0, 3], [0, 0, 5, 0], [0, 0, 0, 0], [0, 0, 2, 0], [-9, 9, -9, 9], [0, 0, 0, -8], [0, 6, 0, 0], [2, 0, 0, 0], [0, -12, 0, 0], [0, 0, 0, -2], [-10, 10, -10, 10], [0, 6, 0, 0], [-9, 0, 0, 0], [13, -13, 13, -13], [-10, 10, -10, 10], [0, 0, 0, -8], [0, 0, -6, 0], [11, 0, 0, 0], [0, 0, -9, 0], [0, -16, 0, 0], [0, 0, 0, 0], [0, 10, 0, 0], [0, 0, 0, -2], [0, 17, 0, 0], [0, 0, 16, 0], [0, 0, 2, 0], [2, -2, 2, -2], [12, -12, 12, -12], [0, 0, -6, 0], [0, 0, 24, 0], [0, -1, 0, 0], [0, 0, 0, -8], [0, -5, 0, 0], [11, 0, 0, 0], [24, 0, 0, 0], [12, -12, 12, -12], [0, 0, -20, 0], [0, 0, 0, -24], [-9, 9, -9, 9], [-21, 21, -21, 21], [0, 0, -6, 0], [-22, 0, 0, 0], [2, -2, 2, -2], [0, 0, 0, -19], [22, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 20], [1, -1, 1, -1], [0, 6, 0, 0], [0, 0, -28, 0], [0, 0, 0, 9], [22, 0, 0, 0], [0, 0, 24, 0], [0, -23, 0, 0], [2, -2, 2, -2], [-20, 0, 0, 0], [0, 0, 0, -13], [0, 28, 0, 0], [0, 0, 27, 0], [-9, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 14], [-22, 0, 0, 0], [0, 32, 0, 0], [-20, 20, -20, 20], [0, 0, 0, 3], [13, 0, 0, 0], [0, -23, 0, 0], [-21, 21, -21, 21], [2, 0, 0, 0], [0, 0, 13, 0], [12, -12, 12, -12], [0, 0, 0, -19], [-22, 0, 0, 0], [0, 0, -20, 0], [13, -13, 13, -13], [0, 39, 0, 0], [-33, 0, 0, 0], [-20, 0, 0, 0], [0, -12, 0, 0], [0, -16, 0, 0], [0, 0, 2, 0], [0, 0, 0, -2], [0, 0, 0, -8], [0, 0, 38, 0], [0, 0, -42, 0], [0, 0, 0, -30], [0, -16, 0, 0], [34, -34, 34, -34], [0, 0, 16, 0], [0, 0, 0, -2], [34, -34, 34, -34], [0, 0, -6, 0], [22, 0, 0, 0], [0, 21, 0, 0], [0, 0, 0, 14], [-11, 0, 0, 0], [0, -34, 0, 0], [0, 0, 0, -13], [-10, 10, -10, 10], [0, 0, -17, 0], [-9, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 14], [0, 0, -9, 0], [0, 10, 0, 0], [-20, 20, -20, 20], [0, 0, 0, 14], [-22, 0, 0, 0], [13, 0, 0, 0], [-10, 10, -10, 10], [0, -27, 0, 0], [2, 0, 0, 0], [-20, 20, -20, 20], [0, 0, -17, 0], [0, 10, 0, 0], [0, 0, 0, -30], [-42, 0, 0, 0], [0, 0, 0, 9], [-10, 10, -10, 10], [0, -38, 0, 0], [0, 0, -20, 0], [-53, 53, -53, 53], [-21, 21, -21, 21], [-11, 0, 0, 0], [0, 0, -42, 0], [0, 28, 0, 0], [0, 10, 0, 0], [0, 6, 0, 0], [0, 0, -28, 0], [0, 0, 0, -2], [24, -24, 24, -24], [-10, 10, -10, 10], [0, 0, 0, 47], [0, 0, 46, 0], [0, 17, 0, 0], [22, 0, 0, 0], [24, 0, 0, 0], [0, 54, 0, 0], [0, 0, 27, 0], [35, 0, 0, 0], [0, 0, -20, 0], [0, 0, 0, -46], [0, -12, 0, 0], [24, -24, 24, -24], [0, 28, 0, 0], [0, 21, 0, 0], [23, -23, 23, -23], [0, -27, 0, 0], [-42, 0, 0, 0], [0, 0, 0, 31], [-22, 0, 0, 0], [0, 0, 2, 0], [57, -57, 57, -57], [0, 0, 0, 36], [-20, 0, 0, 0], [0, 0, 0, 53]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 13510936354619513, 'hecke_ring_character_values': [[2, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '121.2.c.d', 'level': 121, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 484, 'analytic_conductor': 0.9661898644574927, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [121, 5, [2], [4]], 'conrey_index': 3, 'cusp_dim': 20, 'dim': 20, 'eis_dim': 48, 'eis_new_dim': 32, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472508025, 'hecke_orbit_dims': [4, 4, 4, 4, 4], 'label': '121.2.c', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'mf_dim': 68, 'mf_new_dim': 52, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 5, 'sturm_bound': 22, 'trace_bound': 2, 'trace_display': [0, -1, -1, 0], 'traces': [20, 0, -1, 0, -1, 0, 0, 0, 4, 0, 0, -24, 0, -4, -5, 6, 0, 0, 0, -8, 0, 0, -28, 0, 12, 14, -7, 0, 0, 0, -5, 0, 0, -8, 0, 6, -7, -12, 0, 0, 0, 16, 0, 0, 16, 0, -8, 0, 19, 0, 0, 0, -12, 0, 0, 48, 0, -18, -11, 14, 0, 0, 0, 10, 0, 0, 12, 0, -19, -4, -15, 0, 0, 0, 12, 0, 0, 80, 0, 22, 19, -22, 0, 0, 0, -24, 0, 0, 12, 0, 20, -10, 17, 0, 0, 0, 23, 0, 0, -64, 0, 28, 20, 6, 0, 0, 0, -18, 0, 0, -100, 0, -21, -24, -29, 0, 0, 0, -28, 0, 0, -144, 0, -42, 33, 20, 0, 0, 0, 14, 0, 0, -96, 0, 13, -30, 37, 0, 0, 0, -4, 0, 0, 24, 0, 20, -1, -4, 0, 0, 0, 36, 0, 0, 100, 0, 33, -20, -42, 0, 0, 0, 12, 0, 0, 144, 0, -24, 31, 2, 0, 0, 0, -36, 0, 0, 148, 0, -39, 22, 9, 0, 0, 0, 21, 0, 0, 208, 0, -12, -35, -52, 0, 0, 0, -8, 0, 0, 112, 0, -9, 28, 36, 0, 0, 0, -26, 0, 0, -64, 0, 54, -57, 60, 0, 0, 0, 62, 0, 0, -104, 0, 3, 52, 0, 0, 0, 0, -43, 0, 0, -216, 0, -34, -56, -34, 0, 0, 0, -16, 0, 0, -272, 0, -9, 52, -12, 0, 0, 0, 77, 0, 0, -256, 0, -14, -52, 24, 0, 0, 0, -72, 0, 0, -48, 0, 57, 58, -52, 0, 0, 0, -8, 0, 0, -88, 0, 44, 22, -12, 0, 0, 0, 30, 0, 0, 208, 0, 27, -18, 55, 0, 0, 0, -71, 0, 0, 296, 0, -40, -24, 40, 0, 0, 0, 26, 0, 0, 272, 0, -60, 12, -63, 0, 0, 0, 5, 0, 0, 88, 0, 16, 60, -24, 0, 0, 0, -30, 0, 0, 36, 0, 32, -72, 49, 0, 0, 0, 75, 0, 0, 48, 0, 0, 17, -36, 0, 0, 0, 16, 0, 0, -276, 0, -27, -96, -32, 0, 0, 0, 23, 0, 0, -112, 0, -72, 99, 32, 0, 0, 0, 30, 0, 0, -84, 0, -18, -56, 99, 0, 0, 0, -77, 0, 0, -104, 0, 36, 51, -20, 0, 0, 0, 14, 0, 0, 96, 0, 48, -56, -80, 0, 0, 0, 23, 0, 0, 240, 0, -22, 23, 72, 0, 0, 0, -74, 0, 0, 272, 0, -80, 24, 4, 0, 0, 0, 72, 0, 0, 96, 0, 12, -45, -64, 0, 0, 0, -8, 0, 0, 80, 0, 41, -14, -39, 0, 0, 0, -83, 0, 0, 48, 0, 120, 20, 72, 0, 0, 0, 62, 0, 0, -372, 0, 37, 138, 33, 0, 0, 0, -45, 0, 0, -320, 0, 4, -30, -132, 0, 0, 0, -76, 0, 0, -364, 0, -93, 36, 0, 0, 0, 0, 90, 0, 0, -288, 0, 0, -96, 24, 0, 0, 0, -12, 0, 0, -164, 0, 99, 28, 8, 0, 0, 0, 4, 0, 0, 144, 0, 6, -39, -18, 0, 0, 0, 100, 0, 0, -96, 0, -26, -24, 74, 0, 0, 0, -105, 0, 0, 232, 0, -152, -15, 82, 0, 0, 0, 2, 0, 0, 432, 0, -80, -10, -3, 0, 0, 0, 48, 0, 0, 336, 0, 64, 63, -40, 0, 0, 0, -24, 0, 0, 52, 0, 44, -62, 23, 0, 0, 0, 0, 0, 0, 48, 0, 78, 20, -10, 0, 0, 0, -10, 0, 0, 112, 0, -116, -20, -112, 0, 0, 0, -6, 0, 0, -128, 0, -60, 72, 36, 0, 0, 0, 76, 0, 0, -96, 0, 47, -2, 71, 0, 0, 0, -15, 0, 0, 56, 0, 20, 7, -60, 0, 0, 0, 0, 0, 0, 168, 0, 129, -96, -79, 0, 0, 0, 1, 0, 0, 224, 0, -52, 59, 4, 0, 0, 0, -56, 0, 0, 452, 0, 4, 36, 24, 0, 0, 0, 117, 0, 0, -32, 0, -62, -12, -62, 0, 0, 0, -30, 0, 0, -16, 0, 25, 40, -11, 0, 0, 0, -91, 0, 0, -224, 0, 108, -82, 174, 0, 0, 0, 88, 0, 0, -176, 0, -32, 82, 51, 0, 0, 0, -23, 0, 0, -600, 0, -76, -141, -38, 0, 0, 0, -76, 0, 0, -524, 0, -65, 20, -24, 0, 0, 0, 27, 0, 0, -296, 0, -60, -24, 84, 0, 0, 0, -148, 0, 0, -384, 0, 109, 116, -65, 0, 0, 0, -24, 0, 0, -144, 0, 32, -4, -82, 0, 0, 0, 116, 0, 0, 248, 0, 42, 48, 60, 0, 0, 0, 60, 0, 0, -112, 0, -2, -59, 72, 0, 0, 0, -20, 0, 0, 432, 0, -66, 8, -83, 0, 0, 0, 60, 0, 0, 184, 0, 116, 46, -60, 0, 0, 0, -36, 0, 0, 208, 0, 0, -78, -28, 0, 0, 0, 19, 0, 0, 32, 0, 32, 15, -36, 0, 0, 0, -32, 0, 0, 244, 0, -37, -24, -17, 0, 0, 0, -21, 0, 0, 216, 0, -8, 81, 42, 0, 0, 0, 36, 0, 0, -52, 0, -8, -96, 96, 0, 0, 0, -75, 0, 0, 144, 0, -66, 32, -24, 0, 0, 0, 116, 0, 0, 164, 0, 88, 22, 23, 0, 0, 0, -32, 0, 0, 472, 0, -28, 45, -12, 0, 0, 0, -56, 0, 0, -96, 0, -91, 56, -8, 0, 0, 0, 84, 0, 0, 504, 0, -52, -72, -80, 0, 0, 0, -18, 0, 0, 112, 0, -88, -90, 72, 0, 0, 0, -84, 0, 0, -24, 0, 64, -75, 44, 0, 0, 0, 116, 0, 0, -324, 0, -28, 48, 7, 0, 0, 0, -95, 0, 0, -448, 0, -20, 24, 54, 0, 0, 0, 8, 0, 0, -480, 0, -53, 12, 32, 0, 0, 0, 195, 0, 0, -192, 0, -28, -57, -60, 0, 0, 0, 12, 0, 0, -304, 0, 129, 72, -108, 0, 0, 0, -89, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 104850
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '121.2.a.a', 'target_level': 121, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 104851
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '121.2.a.c', 'target_level': 121, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 104852
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '121.2.c.b', 'target_level': 121, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 104853
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '121.2.c.b', 'target_level': 121, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 104854
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '121.2.c.d', 'target_level': 121, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 104855
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '121.2.c.d', 'target_level': 121, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 104856
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1089.2.a.c', 'target_level': 1089, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 104857
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1089.2.a.i', 'target_level': 1089, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 104858
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1936.2.a.a', 'target_level': 1936, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 104859
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1936.2.a.b', 'target_level': 1936, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 104860
{'conductor': 55, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3025.2.a.b', 'target_level': 3025, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '55.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 104861
{'conductor': 55, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3025.2.a.e', 'target_level': 3025, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '55.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 104862
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5929.2.a.a', 'target_level': 5929, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 104863
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '5929.2.a.g', 'target_level': 5929, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 104864
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '7744.2.a.c', 'target_level': 7744, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '88.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 104865
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '7744.2.a.f', 'target_level': 7744, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 104866
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '7744.2.a.be', 'target_level': 7744, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 104867
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '121.2.c.d', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '7744.2.a.bf', 'target_level': 7744, 'twist_class_label': '121.2.a.a', 'twist_class_level': 121, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 342225
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 2}
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id: 342226
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 3}
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id: 342227
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 5}
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id: 342228
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 7}
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id: 342229
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13510936354619513, 'p': 11}
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id: 342230
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 13}
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id: 342231
{'charpoly_factorization': [[[625, 125, 25, 5, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 17}
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id: 342232
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 19}
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id: 342233
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 13510936354619513, 'p': 23}
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id: 342234
{'charpoly_factorization': [[[6561, -729, 81, -9, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 29}
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id: 342235
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 31}
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id: 342236
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 37}
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id: 342237
{'charpoly_factorization': [[[625, 125, 25, 5, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 41}
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id: 342238
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13510936354619513, 'p': 43}
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id: 342239
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 47}
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id: 342240
{'charpoly_factorization': [[[6561, 729, 81, 9, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 53}
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id: 342241
{'charpoly_factorization': [[[4096, 512, 64, 8, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 59}
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id: 342242
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 61}
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id: 342243
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 13510936354619513, 'p': 67}
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id: 342244
{'charpoly_factorization': [[[20736, 1728, 144, 12, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 71}
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id: 342245
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 73}
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id: 342246
{'charpoly_factorization': [[[10000, 1000, 100, 10, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 79}
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id: 342247
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 83}
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id: 342248
{'charpoly_factorization': [[[9, 1], 4]], 'hecke_orbit_code': 13510936354619513, 'p': 89}
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id: 342249
{'charpoly_factorization': [[[28561, -2197, 169, -13, 1], 1]], 'hecke_orbit_code': 13510936354619513, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 4, 'label': '121.2.c.d', 'level': 121, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36002587
{'hecke_orbit_code': 13510936354619513, 'n': 1, 'trace_an': 4}
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id: 36002588
{'hecke_orbit_code': 13510936354619513, 'n': 2, 'trace_an': 1}
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id: 36002589
{'hecke_orbit_code': 13510936354619513, 'n': 3, 'trace_an': -2}
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id: 36002590
{'hecke_orbit_code': 13510936354619513, 'n': 4, 'trace_an': 1}
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id: 36002591
{'hecke_orbit_code': 13510936354619513, 'n': 5, 'trace_an': -1}
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id: 36002592
{'hecke_orbit_code': 13510936354619513, 'n': 6, 'trace_an': 2}
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id: 36002593
{'hecke_orbit_code': 13510936354619513, 'n': 7, 'trace_an': -2}
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id: 36002594
{'hecke_orbit_code': 13510936354619513, 'n': 8, 'trace_an': -3}
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id: 36002595
{'hecke_orbit_code': 13510936354619513, 'n': 9, 'trace_an': -1}
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id: 36002596
{'hecke_orbit_code': 13510936354619513, 'n': 10, 'trace_an': -4}
-
id: 36002597
{'hecke_orbit_code': 13510936354619513, 'n': 11, 'trace_an': 0}
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id: 36002598
{'hecke_orbit_code': 13510936354619513, 'n': 12, 'trace_an': -8}
-
id: 36002599
{'hecke_orbit_code': 13510936354619513, 'n': 13, 'trace_an': 1}
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id: 36002600
{'hecke_orbit_code': 13510936354619513, 'n': 14, 'trace_an': 2}
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id: 36002601
{'hecke_orbit_code': 13510936354619513, 'n': 15, 'trace_an': -2}
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id: 36002602
{'hecke_orbit_code': 13510936354619513, 'n': 16, 'trace_an': 1}
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id: 36002603
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