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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [189, 2, [29, 136], [1, 1]], 'cm_discs': [-3], 'conrey_index': 188, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137472508093, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 7, 2, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '189.2.c.a', 'level': 189, '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, 7], 'level_radical': 21, 'minimal_twist': '189.2.c.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+2 q^{4}+\\beta q^{7}+(-2\\beta+1)q^{13}+\\cdots', 'related_objects': ['ModularForm/GL2/TotallyReal/2.2.21.1/holomorphic/2.2.21.1-81.1-a', 'EllipticCurve/2.2.21.1/81.1/a', 'EllipticCurve/2.0.3.1/3969.3/CMb', 'EllipticCurve/2.0.3.1/3969.1/CMb'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '189.2.c', 'trace_display': [0, 0, 0, 1], 'trace_hash': 1503352709923675386, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.829', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.258', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '276.627', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.763', 'prec': 17}, 'traces': [2, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -28, 0, 0, -32, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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52, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 110, 0, 0, 0, 0, 0, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, -2], [0, 0], [0, 0], [4, 0], [0, 0], [0, 0], [-1, 2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-5, 0], [0, 0], [0, 0], [0, 2], [0, 0], [0, 0], [2, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-11, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-7, 1], [0, 0], [0, 0], [2, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 6], [0, 0], [0, 0], [8, 0], [0, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [3, -6], [0, 0], [0, 0], [-2, 4], [0, 0], [0, 0], [17, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [14, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, -2], [0, 0], [0, 0], [-10, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [1, -2], [0, 0], [-1, 2], [0, 0], [0, 0], [2, -4], [-11, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [-3, 6], [5, 0], [0, 0], [3, -6], [17, 0], [0, 0], [0, 0], [1, -2], [0, 0], [-3, 6], [0, 0], [-2, 0], [0, 0], [20, 0], [0, 0], [0, 0], [1, -2], [0, 0], [19, 0], [-4, 8], [-25, 0], [0, 0], [0, 0], [0, 0], [5, -10], [0, 0], [-23, 0], [0, 0], [-5, 10], [13, 0], [-2, 4], [0, 0], [4, -8], [0, 0], [0, 0], [-5, 10], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 6], [26, 0], [0, 0], [2, -4], [0, 0], [-6, 12], [0, 0], [-1, 2], [0, 0], [1, 0], [-5, 0], [0, 0], [1, -2], [0, 0], [0, 0], [3, -6], [-13, 0], [-29, 0], [0, 0], [0, 0], [4, -8], [0, 0], [-5, 10], [0, 0], [-19, 0], [0, 0], [8, -16], [6, -12], [0, 0], [0, 0], [10, 0], [0, 0], [23, 0], [0, 0], [0, 0], [25, 0], [0, 0], [-32, 0], [0, 0], [0, 0], [0, 0], [-3, 6], [29, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [-31, 0], [9, -18], [0, 0], [0, 0], [0, 0], [8, -16], [-1, 2], [47, 0], [0, 0], [9, -18], [-43, 0], [0, 0], [-6, 12], [0, 0], [0, 0], [0, 0], [3, -6], [37, 0], [0, 0], [0, 0], [-10, 20], [0, 0], [-53, 0], [0, 0], [-6, 12], [4, -8], [-16, 0], [0, 0], [-41, 0], [-29, 0], [0, 0], [5, -10], [0, 0], [9, -18], [0, 0], [0, 0], [-2, 4], [0, 0], [5, 0], [0, 0], [-11, 22], [0, 0], [-9, 18], [0, 0], [11, -22], [0, 0], [59, 0], [0, 0], [-47, 0], [0, 0], [19, 0], [0, 0], [52, 0], [0, 0], [1, -2], [0, 0], [0, 0], [0, 0], [41, 0], [0, 0], [0, 0], [0, 0], [61, 0], [-12, 24]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 137472508093, 'hecke_ring_character_values': [[29, [-1, 0]], [136, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 3], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '189.2.c.a', 'level': 189, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [189, 2, [29, 136], [1, 1]], 'conrey_index': 188, 'cusp_dim': 18, 'dim': 10, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472508093, 'hecke_orbit_dims': [2, 4, 4], 'label': '189.2.c', 'level': 189, '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, 7], 'level_radical': 21, 'mf_dim': 30, 'mf_new_dim': 10, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 48, 'trace_bound': 4, 'trace_display': [0, 0, 0, -3], 'traces': [10, 0, 0, -8, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -28, 0, 0, 22, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 12, 0, 0, -4, 0, 0, -29, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 36, 0, 0, -22, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -36, 0, 0, 4, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -16, 0, 0, -60, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 20, 0, 0, 144, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -32, 0, 0, -6, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 4, 0, 0, -56, 0, 0, -93, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 108, 0, 0, -42, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -160, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 40, 0, 0, 180, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, -208, 0, 0, 116, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -180, 0, 0, -40, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 44, 0, 0, 80, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 200, 0, 0, -188, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 138, 0, 0, -100, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -48, 0, 0, -108, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -10, 0, 0, 208, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -72, 0, 0, -108, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 122, 0, 0, 200, 0, 0, 93, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, -28, 0, 0, -78, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -216, 0, 0, 200, 0, 0, 153, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -28, 0, 0, 178, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, -118, 0, 0, -184, 0, 0, -51, 0, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, -260, 0, 0, -202, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 216, 0, 0, -164, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 268, 0, 0, 0, 0, 0, 216, 0, 0, 146, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 38, 0, 0, 8, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -78, 0, 0, -68, 0, 0, 99, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 140, 0, 0, 180, 0, 0, 230, 0, 0, 0, 0, 0, 0, 0, 0, -258, 0, 0, 0, 0, 0, 144, 0, 0, -16, 0, 0, -189, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 60, 0, 0, 56, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, -402, 0, 0, 0, 0, 0, -6, 0, 0, -324, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -136, 0, 0, 20, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -180, 0, 0, 392, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -180, 0, 0, -130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 10, 0, 0, -44, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -52, 0, 0, -108, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, -238, 0, 0, 0, 0, 0, -42, 0, 0, 404, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 160, 0, 0, 66, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 30, 0, 0, -120, 0, 0, -27, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, -80, 0, 0, -306, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 266, 0, 0, -648, 0, 0, 171, 0, 0, 0, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, 324, 0, 0, 390, 0, 0, -280, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 154288
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '189.2.c.a', 'target_level': 189, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 154289
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '189.2.c.a', 'target_level': 189, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154290
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '189.2.c.a', 'target_level': 189, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154291
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '189.2.c.a', 'target_level': 189, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154292
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.o.a', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154293
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.o.a', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154294
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.o.a', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 154295
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.o.a', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 154296
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.o.b', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154297
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.o.b', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154298
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.o.b', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 154299
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.o.b', 'target_level': 567, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 154300
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3024.2.k.b', 'target_level': 3024, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154301
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3024.2.k.b', 'target_level': 3024, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154302
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3024.2.k.b', 'target_level': 3024, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154303
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '189.2.c.a', 'source_level': 189, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3024.2.k.b', 'target_level': 3024, 'twist_class_label': '189.2.c.a', 'twist_class_level': 189, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 472450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 2}
-
id: 472451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 3}
-
id: 472452
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 5}
-
id: 472453
{'charpoly_factorization': [[[7, -1, 1], 1]], 'hecke_orbit_code': 137472508093, 'p': 7}
-
id: 472454
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 11}
-
id: 472455
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 137472508093, 'p': 13}
-
id: 472456
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 17}
-
id: 472457
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 137472508093, 'p': 19}
-
id: 472458
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 23}
-
id: 472459
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 29}
-
id: 472460
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 137472508093, 'p': 31}
-
id: 472461
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 37}
-
id: 472462
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 41}
-
id: 472463
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 43}
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id: 472464
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 47}
-
id: 472465
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 53}
-
id: 472466
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 59}
-
id: 472467
{'charpoly_factorization': [[[243, 0, 1], 1]], 'hecke_orbit_code': 137472508093, 'p': 61}
-
id: 472468
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 67}
-
id: 472469
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 71}
-
id: 472470
{'charpoly_factorization': [[[243, 0, 1], 1]], 'hecke_orbit_code': 137472508093, 'p': 73}
-
id: 472471
{'charpoly_factorization': [[[-17, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 79}
-
id: 472472
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 83}
-
id: 472473
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508093, 'p': 89}
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id: 472474
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 137472508093, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '189.2.c.a', 'level': 189, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 5567155
{'hecke_orbit_code': 137472508093, 'n': 1, 'trace_an': 2}
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id: 5567156
{'hecke_orbit_code': 137472508093, 'n': 2, 'trace_an': 0}
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id: 5567157
{'hecke_orbit_code': 137472508093, 'n': 3, 'trace_an': 0}
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