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mf_newforms • Show schema
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{'Nk2': 300, 'analytic_conductor': 0.5988780151596029, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 4, 'char_parity': 1, 'char_values': [75, 4, [26, 52], [2, 1]], 'cm_discs': [-3], 'conrey_index': 32, 'conrey_indexes': [32, 68], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538831947, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 5, 2, 1, 2, 0], [1, 2, 5, 3, -1, 4, 0], [1, 1, 15, 4, -1, 2, 0], [1, 2, 15, 5, 1, 4, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '75.2.e.b', 'level': 75, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '75.2.e.b', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{1}q^{3}-2\\beta _{2}q^{4}+\\beta _{3}q^{7}+3\\beta _{2}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d4', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '75.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1733809472364470449, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.643', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '169.127', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8807.925', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.880', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [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], [0, 0, 0, 3], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [0, 0, -9, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-13, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 8, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -9], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-9, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 11], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-13, 0, 0, 0], [0, 0, 0, -9], [0, 0, 0, 0], [0, -8, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 11], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, -19, 0], [0, 0, 0, 0], [0, 0, 0, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 16, 0], [0, 0, 0, 0], [-23, 0, 0, 0], [0, 0, 0, 1], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, 0, 11, 0], [-13, 0, 0, 0], [0, 17, 0, 0], [0, 0, 0, 0], [0, 0, -29, 0], [0, 0, 0, 0], [0, 0, 0, 0], [17, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-28, 0, 0, 0], [0, 0, 0, -19], [0, 0, 0, 0], [0, -13, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [32, 0, 0, 0], [0, 0, 0, 21], [0, 0, 0, 0], [0, 0, -14, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -9], [0, 17, 0, 0], [0, 0, -29, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 11], [0, 0, 0, 0], [0, 0, 31, 0], [0, 0, 0, 0], [22, 0, 0, 0], [0, 0, 0, 0], [0, -13, 0, 0], [0, 0, 41, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -24], [0, 0, 0, 0], [0, 22, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 21], [0, 0, 0, 0], [0, 0, 11, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 17, 0, 0], [17, 0, 0, 0], [0, 0, 0, -14], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [47, 0, 0, 0], [0, 0, 0, -19], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-23, 0, 0, 0], [0, 0, 0, 26], [0, -28, 0, 0], [0, 0, 0, 0], [0, 0, -49, 0], [-43, 0, 0, 0], [0, 0, 0, 0], [0, -18, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-38, 0, 0, 0], [0, -8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 31, 0], [0, 0, 0, 0], [0, 0, 0, 31], [0, 12, 0, 0], [0, 0, 16, 0], [0, 0, 0, 0], [52, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, -49, 0], [0, 0, 0, 0], [0, 0, 0, -29], [0, 0, 0, 0], [0, 0, 0, 0], [37, 0, 0, 0], [0, 0, 0, 0], [0, -33, 0, 0], [0, 0, 0, 0], [0, 0, 46, 0], [0, 0, 0, 0], [0, 27, 0, 0], [0, 0, 0, 0], [0, 0, 56, 0], [0, 0, 0, 0], [0, 0, 0, 31], [0, 0, 0, 0], [0, -13, 0, 0], [0, 0, 0, 0], [0, 0, 0, 26], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, -29], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -34], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [17, 0, 0, 0], [0, 0, 0, 36]], 'char_orbit_index': 5, 'field_poly': [9, 0, 0, 0, 1], 'hecke_orbit_code': 4503874538831947, 'hecke_ring_character_values': [[26, [-1, 0, 0, 0]], [52, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 0], [0, 0, 0, 3]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '75.2.e.b', 'level': 75, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 300, 'analytic_conductor': 0.5988780151596029, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 4, 'char_parity': 1, 'char_values': [75, 4, [26, 52], [2, 1]], 'conrey_index': 32, 'cusp_dim': 8, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461451, 'hecke_orbit_dims': [4, 4], 'label': '75.2.e', 'level': 75, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 32, 'mf_new_dim': 16, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 20, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, -244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 356, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 24, 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: 63736
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.2.e.b', 'target_level': 75, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 63737
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.2.e.b', 'target_level': 75, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 63738
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.2.e.b', 'target_level': 75, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 63739
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.2.e.b', 'target_level': 75, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 63740
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.2.e.b', 'target_level': 75, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 63741
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '75.2.e.b', 'target_level': 75, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 63742
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1200.2.v.f', 'target_level': 1200, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 63743
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1200.2.v.f', 'target_level': 1200, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 63744
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1200.2.v.f', 'target_level': 1200, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 63745
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1200.2.v.f', 'target_level': 1200, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 63746
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1200.2.v.f', 'target_level': 1200, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 63747
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '75.2.e.b', 'source_level': 75, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1200.2.v.f', 'target_level': 1200, 'twist_class_label': '75.2.e.b', 'twist_class_level': 75, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 231275
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 2}
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id: 231276
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 3}
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id: 231277
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 5}
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id: 231278
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 7}
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id: 231279
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 11}
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id: 231280
{'charpoly_factorization': [[[729, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 13}
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id: 231281
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 17}
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id: 231282
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 4503874538831947, 'p': 19}
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id: 231283
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 23}
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id: 231284
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 29}
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id: 231285
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 31}
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id: 231286
{'charpoly_factorization': [[[2304, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 37}
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id: 231287
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 41}
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id: 231288
{'charpoly_factorization': [[[21609, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 43}
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id: 231289
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 47}
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id: 231290
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 53}
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id: 231291
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 59}
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id: 231292
{'charpoly_factorization': [[[13, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 61}
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id: 231293
{'charpoly_factorization': [[[59049, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 67}
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id: 231294
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 71}
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id: 231295
{'charpoly_factorization': [[[36864, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 73}
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id: 231296
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 4503874538831947, 'p': 79}
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id: 231297
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 83}
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id: 231298
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503874538831947, 'p': 89}
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id: 231299
{'charpoly_factorization': [[[131769, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4503874538831947, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '75.2.e.b', 'level': 75, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 85120000
{'hecke_orbit_code': 4503874538831947, 'n': 1, 'trace_an': 4}
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id: 85120001
{'hecke_orbit_code': 4503874538831947, 'n': 2, 'trace_an': 0}
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id: 85120002
{'hecke_orbit_code': 4503874538831947, 'n': 3, 'trace_an': 0}
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id: 85120003
{'hecke_orbit_code': 4503874538831947, 'n': 4, 'trace_an': 0}
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id: 85120004
{'hecke_orbit_code': 4503874538831947, 'n': 5, 'trace_an': 0}
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id: 85120005
{'hecke_orbit_code': 4503874538831947, 'n': 6, 'trace_an': 0}
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id: 85120006
{'hecke_orbit_code': 4503874538831947, 'n': 7, 'trace_an': 0}
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id: 85120007
{'hecke_orbit_code': 4503874538831947, 'n': 8, 'trace_an': 0}
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id: 85120008
{'hecke_orbit_code': 4503874538831947, 'n': 9, 'trace_an': 0}
-
id: 85120009
{'hecke_orbit_code': 4503874538831947, 'n': 10, 'trace_an': 0}
-
id: 85120010
{'hecke_orbit_code': 4503874538831947, 'n': 11, 'trace_an': 0}
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id: 85120011
{'hecke_orbit_code': 4503874538831947, 'n': 12, 'trace_an': 0}
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id: 85120012
{'hecke_orbit_code': 4503874538831947, 'n': 13, 'trace_an': 0}
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id: 85120013
{'hecke_orbit_code': 4503874538831947, 'n': 14, 'trace_an': 0}
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id: 85120014
{'hecke_orbit_code': 4503874538831947, 'n': 15, 'trace_an': 0}
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id: 85120015
{'hecke_orbit_code': 4503874538831947, 'n': 16, 'trace_an': -16}
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id: 85120016
{'hecke_orbit_code': 4503874538831947, 'n': 17, 'trace_an': 0}
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id: 85120017
{'hecke_orbit_code': 4503874538831947, 'n': 18, 'trace_an': 0}
-
id: 85120018
{'hecke_orbit_code': 4503874538831947, 'n': 19, 'trace_an': 0}
-
id: 85120019
{'hecke_orbit_code': 4503874538831947, 'n': 20, 'trace_an': 0}
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id: 85120020
{'hecke_orbit_code': 4503874538831947, 'n': 21, 'trace_an': -12}
-
id: 85120021
{'hecke_orbit_code': 4503874538831947, 'n': 22, 'trace_an': 0}
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id: 85120022
{'hecke_orbit_code': 4503874538831947, 'n': 23, 'trace_an': 0}
-
id: 85120023
{'hecke_orbit_code': 4503874538831947, 'n': 24, 'trace_an': 0}
-
id: 85120024
{'hecke_orbit_code': 4503874538831947, 'n': 25, 'trace_an': 0}
-
id: 85120025
{'hecke_orbit_code': 4503874538831947, 'n': 26, 'trace_an': 0}
-
id: 85120026
{'hecke_orbit_code': 4503874538831947, 'n': 27, 'trace_an': 0}
-
id: 85120027
{'hecke_orbit_code': 4503874538831947, 'n': 28, 'trace_an': 0}
-
id: 85120028
{'hecke_orbit_code': 4503874538831947, 'n': 29, 'trace_an': 0}
-
id: 85120029
{'hecke_orbit_code': 4503874538831947, 'n': 30, 'trace_an': 0}
-
id: 85120030
{'hecke_orbit_code': 4503874538831947, 'n': 31, 'trace_an': 28}
-
id: 85120031
{'hecke_orbit_code': 4503874538831947, 'n': 32, 'trace_an': 0}
-
id: 85120032
{'hecke_orbit_code': 4503874538831947, 'n': 33, 'trace_an': 0}
-
id: 85120033
{'hecke_orbit_code': 4503874538831947, 'n': 34, 'trace_an': 0}
-
id: 85120034
{'hecke_orbit_code': 4503874538831947, 'n': 35, 'trace_an': 0}
-
id: 85120035
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-
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