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mf_newforms • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [666, 3, [371, 631], [3, 2]], 'cm_discs': [], 'conrey_index': 343, 'dim': 4, 'field_disc': 17424, 'field_disc_factorization': [[2, 4], [3, 2], [11, 2]], 'field_poly': [121, 0, 11, 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': [[5, [1, 1, 1]], [7, [100, 20, 14, -2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029140649902746, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 3, 1, 3, 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': '666.2.f.i', 'level': 666, '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, 37], 'level_radical': 222, 'minimal_twist': '666.2.f.h', 'nf_label': '4.0.17424.3', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{2}q^{2}+(-1-\\beta _{2})q^{4}+(-1-\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '666.2.f', 'trace_display': [2, 0, -2, 2], 'trace_hash': 848243319189659129, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.044', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.855', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.516', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.270', 'prec': 20}, {'__RealLiteral__': 0, 'data': '36.460', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1565.886', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [4, 2, 0, -2, -2, 0, 2, -4, 0, -4, 4, 0, -4, 4, 0, -2, 0, 0, 6, -2, 0, 2, -16, 0, 8, -8, 0, 2, 12, 0, 4, 2, 0, 0, 2, 0, -4, 12, 0, 2, -16, 0, -12, -2, 0, -8, -4, 0, -10, -8, 0, -4, 4, 0, -2, -2, 0, 6, 4, 0, 8, 2, 0, 4, -4, 0, -6, 0, 0, -2, 6, 0, 24, -8, 0, 6, 24, 0, 6, 4, 0, -32, 4, 0, 0, -6, 0, -4, -12, 0, 4, 8, 0, -2, 6, 0, 28, 10, 0, -16, -20, 0, -4, 4, 0, -4, -2, 0, -12, -4, 0, -4, 4, 0, 8, -6, 0, -4, 44, 0, 4, 16, 0, -2, -36, 0, 20, 2, 0, 4, -8, 0, -28, -12, 0, 0, -16, 0, 0, -4, 0, 12, -4, 0, -6, 12, 0, -4, 52, 0, -40, -6, 0, 48, -2, 0, -12, 12, 0, 2, -8, 0, -2, -16, 0, -4, 24, 0, 18, 0, 0, 6, 14, 0, 16, -2, 0, 12, -24, 0, 4, -4, 0, 16, -4, 0, 22, 2, 0, -6, -72, 0, 4, 14, 0, 20, -6, 0, -36, -8, 0, -10, 50, 0, -16, -2, 0, 8, 28, 0, -28, -8, 0, -4, 6, 0, 24, 12, 0, -2, 0, 0, 24, -2, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [1, 1, 1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [1, 0, 0, -1], [0, 0, 0, 0], [-2, 0, -2, 0], [1, 0, 0, -1], [0, 0, 0, 0], [0, 0, 1, 0], [0, -1, 0, -1], [0, 0, 0, 0], [3, 1, 3, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, -1, -1, -1], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [0, -1, -1, -1], [3, 0, 0, -2], [0, 0, 0, 0], [1, 0, 0, -1], [1, 0, 1, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, -1, -1, -1], [0, 0, 0, 0], [-2, 1, -2, 2], [3, 0, 0, -1], [0, 0, 0, 0], [1, 0, 1, 0], [-8, -1, -8, 0], [0, 0, 0, 0], [-3, 0, 0, 1], [-1, -1, -1, 0], [0, 0, 0, 0], [0, 0, 4, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [0, 2, 5, 2], [-4, 0, -4, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, -2, -2, -2], [0, 0, 0, 0], [-1, -1, -1, 0], [-1, -1, -1, 0], [0, 0, 0, 0], [0, -2, -3, -2], [0, 2, -2, 2], [0, 0, 0, 0], [4, 1, 4, 0], [0, -1, -1, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [-3, -1, -3, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-1, -1, -1, 0], [3, 1, 3, 0], [0, 0, 0, 0], [6, 0, 0, 2], [-2, 2, 0, 1], [0, 0, 0, 0], [0, -1, -3, -1], [12, 2, 12, 0], [0, 0, 0, 0], [3, 3, 3, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 1], [0, 2, -2, 2], [0, 0, 0, 0], [0, 0, 0, 1], [0, 1, 3, 1], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 1, 6, 1], [0, 0, 0, 0], [0, -2, -2, -2], [4, 0, 4, 0], [0, 0, 0, 0], [0, -1, 1, -1], [0, -1, -3, -1], [0, 0, 0, 0], [7, 0, 0, 2], [5, 2, 5, 0], [0, 0, 0, 0], [-4, 0, 0, 0]], 'ap': [[0, 0, -1, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [1, 1, 1, 0], [1, 0, 0, -1], [-2, 0, -2, 0], [0, -1, 0, -1], [3, 1, 3, 0], [-4, 0, 0, 0], [3, 0, 0, -2], [1, 0, 0, -1], [-2, 1, -2, 2], [-8, -1, -8, 0], [-3, 0, 0, 1], [-1, 0, 0, -1], [0, -2, -2, -2], [0, 2, -2, 2], [4, 1, 4, 0], [-3, -1, -3, 0], [3, 1, 3, 0], [6, 0, 0, 2], [3, 3, 3, 0], [0, 2, -2, 2], [0, 1, 6, 1], [7, 0, 0, 2], [-5, 0, 0, 4], [-1, 0, 0, -3], [-1, -5, -1, 0], [0, 1, 6, 1], [0, 4, -2, 4], [0, -2, -10, -2], [0, 4, 4, 4], [-4, 0, 0, 1], [0, 0, 0, 0], [13, 0, 0, 2], [-20, 0, -20, 0], [0, 1, 6, 1], [0, -1, 1, -1], [12, 0, 12, 0], [0, 2, -7, 2], [-6, 0, 0, 2], [2, 1, 2, 0], [-18, 0, 0, 2], [1, 0, 0, 0], [0, -2, 3, -2], [-9, 0, 0, 1], [-7, 0, 0, -3], [6, 0, 0, -2], [-11, -3, -11, 0], [-12, -3, -12, 0], [4, 0, 0, -3], [0, 3, -11, 3], [6, -2, 6, 0], [-15, 0, 0, -1], [0, -1, -14, -1], [-14, 2, -14, 0], [-10, 0, 0, 0], [0, -5, 7, -5], [24, -1, 24, 0], [0, 1, -12, 1], [9, -5, 9, 0], [-15, 2, -15, 0], [-5, 0, 0, 3], [0, -1, 5, -1], [0, -4, -7, -4], [0, -4, 15, -4], [0, -6, 10, -6], [-5, -8, -5, 0], [-30, 0, 0, -2], [0, 7, 4, 7], [0, -3, 16, -3], [-18, 0, 0, -2], [10, 6, 10, 0], [-18, -3, -18, 0], [0, -5, 9, -5], [3, 5, 3, 0], [7, 0, 7, 0], [2, 0, 0, 5], [10, 0, 0, -8], [0, 4, 3, 4], [0, 3, -13, 3], [12, 0, 0, -7], [17, -5, 17, 0], [-15, 0, 0, 4], [-12, 8, -12, 0], [24, 0, 0, 0], [-18, 4, -18, 0], [-15, 2, -15, 0], [0, -2, -18, -2], [23, 3, 23, 0], [-10, 0, 0, 2], [0, 0, -28, 0], [6, 0, 0, -2], [11, 0, 0, 1], [7, -3, 7, 0], [0, -1, -27, -1], [0, 12, -1, 12], [42, 0, 42, 0], [22, 2, 22, 0], [32, 0, 0, -1], [-23, 0, 0, 1], [0, -6, -11, -6], [-8, 0, 0, 8], [-26, 0, 0, 5], [0, 0, 4, 0], [0, -2, 10, -2], [-4, 4, -4, 0], [30, 0, 0, 3], [19, 5, 19, 0], [0, 6, 19, 6], [0, 5, -23, 5], [0, 5, -4, 5], [0, -4, 4, -4], [27, 0, 0, 3], [0, 0, -12, 0], [0, -1, -16, -1], [29, 0, 0, 5], [-1, -11, -1, 0], [19, 0, 19, 0], [-4, 8, -4, 0], [-2, -11, -2, 0], [-10, 6, -10, 0], [5, 0, 0, 10], [0, 3, -17, 3], [0, 7, 21, 7], [0, 6, -18, 6], [4, 0, 0, -8], [0, 12, 4, 12], [22, 6, 22, 0], [-2, -4, -2, 0], [-12, 0, 0, 8], [23, -7, 23, 0], [-7, 0, 0, -1], [0, -3, 0, -3], [0, 9, 12, 9], [-18, 0, 0, -2], [33, 6, 33, 0], [-18, 0, 0, 10], [0, -6, 26, -6], [-2, 0, -2, 0], [-2, -6, -2, 0], [2, 0, 2, 0], [0, 2, 2, 2], [24, 8, 24, 0], [0, 4, -18, 4], [0, 10, 6, 10], [0, -7, -2, -7], [-18, 0, 0, -11], [43, 0, 0, 3], [0, 0, 12, 0], [-8, 0, 0, -3], [-42, -1, -42, 0], [-4, -4, -4, 0], [44, 0, 0, -4], [17, -1, 17, 0], [4, 0, 0, -4], [6, 0, 0, -10], [-34, 7, -34, 0], [0, 8, -21, 8], [0, -4, 9, -4], [0, -12, 8, -12], [0, 4, -42, 4], [-12, 12, -12, 0], [0, 4, -48, 4], [0, -16, 6, -16], [0, -11, -13, -11], [3, 0, 0, -3], [0, -4, 30, -4]], 'char_orbit_index': 6, 'field_poly': [121, 0, 11, 0, 1], 'hecke_orbit_code': 36029140649902746, 'hecke_ring_character_values': [[371, [1, 0, 0, 0]], [631, [-1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 11, 11], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 11, 0], [0, 0, 0, 11]], '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': '666.2.f.i', 'level': 666, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [666, 3, [371, 631], [3, 2]], 'conrey_index': 343, 'cusp_dim': 212, 'dim': 30, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 343630938778, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 6], 'label': '666.2.f', 'level': 666, '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, 37], 'level_radical': 222, 'mf_dim': 244, 'mf_new_dim': 30, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 228, 'trace_bound': 5, 'trace_display': [-1, 0, 5, 0], 'traces': [30, -1, 0, -15, 5, 0, 0, 2, 0, 2, -8, 0, -2, 8, 0, -15, -3, 0, 12, 5, 0, 8, -24, 0, -24, -4, 0, 0, 6, 0, 40, -1, 0, -9, 4, 0, -23, -16, 0, -1, -11, 0, -16, 4, 0, 0, 16, 0, -27, 12, 0, -2, -2, 0, -4, -4, 0, 11, 16, 0, -21, 0, 0, 30, 2, 0, -8, 6, 0, -16, -12, 0, -4, -2, 0, 12, 52, 0, 4, -10, 0, -38, 40, 0, 54, 32, 0, -16, 5, 0, 28, 12, 0, -12, -68, 0, -46, -9, 0, 48, -26, 0, -8, 2, 0, -22, -12, 0, -37, -96, 0, 0, -30, 0, 64, -3, 0, -20, 8, 0, -10, -58, 0, -20, 18, 0, 4, -1, 0, 30, 60, 0, -4, 0, 0, -9, 78, 0, 4, -8, 0, 0, 0, 0, -19, 2, 0, 13, -90, 0, -16, 8, 0, 40, 48, 0, -5, 48, 0, -1, 8, 0, 28, -11, 0, -20, -56, 0, 27, 3, 0, 8, -7, 0, 112, 4, 0, 27, 16, 0, 7, 32, 0, 0, 97, 0, 72, -8, 0, 24, 24, 0, 130, 33, 0, 54, 5, 0, -72, 12, 0, 11, -44, 0, -51, 16, 0, 4, -24, 0, -104, 4, 0, -16, -8, 0, 24, 53, 0, -4, -60, 0, 96, -4, 0, -18, 24, 0, -73, 128, 0, -22, -58, 0, -16, -32, 0, -60, 0, 0, 10, 11, 0, -21, -226, 0, -32, 0, 0, -51, 48, 0, -72, -12, 0, -15, 117, 0, 16, -4, 0, 16, -56, 0, -196, 68, 0, -8, 28, 0, 4, -3, 0, 15, -56, 0, 131, -8, 0, -16, 5, 0, -100, -12, 0, 80, -4, 0, -12, 2, 0, 2, 1, 0, 40, 7, 0, -13, 132, 0, -40, -192, 0, -24, 51, 0, -104, 52, 0, 168, -48, 0, -37, 29, 0, 4, -3, 0, 104, 5, 0, -56, -160, 0, -104, -32, 0, 19, 36, 0, 28, -80, 0, 24, -76, 0, 27, -47, 0, -27, -32, 0, -144, -64, 0, -9, -80, 0, 59, -32, 0, 8, 61, 0, 156, -10, 0, 16, 168, 0, 13, -50, 0, -56, -38, 0, -32, 12, 0, -117, 8, 0, 3, 44, 0, 24, 62, 0, -36, 136, 0, -88, 112, 0, -4, -31, 0, 23, -31, 0, 48, -9, 0, 15, -16, 0, -30, 64, 0, -24, 12, 0, 52, 13, 0, 200, 80, 0, -29, -53, 0, 4, 88, 0, 64, 2, 0, 160, 40, 0, 74, 20, 0, -22, -168, 0, -148, -12, 0, -40, -72, 0, -166, 8, 0, 74, 44, 0, -56, 48, 0, 78, 8, 0, -106, -80, 0, 0, -10, 0, 16, 60, 0, -128, 160, 0, -57, -34, 0, 64, 22, 0, 156, -3, 0, -25, -224, 0, 96, 56, 0, -20, 120, 0, -80, -4, 0, 0, 76, 0, -42, -68, 0, 5, -49, 0, 176, 29, 0, 59, 112, 0, 129, 0, 0, -20, -40, 0, -28, -9, 0, -92, 36, 0, 209, 20, 0, -8, -19, 0, -64, 2, 0, -45, -36, 0, 0, 28, 0, 30, 146, 0, -20, -120, 0, -56, 40, 0, -2, 118, 0, 8, -102, 0, 16, 0, 0, -58, -28, 0, 298, 8, 0, 18, -78, 0, -184, -39, 0, 32, -12, 0, -96, -170, 0, -8, -95, 0, -44, 4, 0, 7, -136, 0, 68, -152, 0, 0, -154, 0, -84, 0, 0, -144, 112, 0, -70, 0, 0, -19, 88, 0, -40, -4, 0, 130, 48, 0, 160, -52, 0, 10, -90, 0, -120, 45, 0, 16, 0, 0, -113, 176, 0, -16, 57, 0, 128, 8, 0, -43, -80, 0, -57, -20, 0, -20, 22, 0, 136, 48, 0, 48, -136, 0, -213, 117, 0, 10, 114, 0, 128, -24, 0, -61, 128, 0, -20, 8, 0, 2, -87, 0, 176, 8, 0, 108, -120, 0, 40, 84, 0, -56, 49, 0, 168, 22, 0, 136, 12, 0, 59, 104, 0, -20, 88, 0, 24, -56, 0, -64, -8, 0, -106, 230, 0, -54, 126, 0, 44, -6, 0, 32, -20, 0, -83, 16, 0, 8, -344, 0, -64, 14, 0, -28, 328, 0, 126, -51, 0, -56, 202, 0, 8, -8, 0, -1, -128, 0, 140, 96, 0, 27, 96, 0, -72, -8, 0, -16, -88, 0, 104, 19, 0, 7, 52, 0, 132, 32, 0, -268, -28, 0, 14, 64, 0, 0, -112, 0, -56, 10, 0, 44, 84, 0, 85, -330, 0, -144, 28, 0, 8, -8, 0, -236, -188, 0, 27, 64, 0, 24, 1, 0, -176, -12, 0, 48, -88, 0, -132, -124, 0, -65, 49, 0, -132, -66, 0, 10, 40, 0, -12, -24, 0, -27, -30, 0, -192, -10, 0, -52, -296, 0, 158, -15, 0, 36, -50, 0, -108, -24, 0, 6, -80, 0, 152, -128, 0, -22, -30, 0, 56, -44, 0, -96, 64, 0, -28, 53, 0, 102, -2, 0, 72, -32, 0, -72, 144, 0, -178, -88, 0, -2, -55, 0, -68, -24, 0, 0, -36, 0, -176, 173, 0, 52, -22, 0, 184, -2, 0, 168, 120, 0, -17, -80, 0, 8, 78, 0, 112, -8, 0, 168, 8, 0, -306, 17, 0, 24, -144, 0, -28, 53, 0, 152, -72, 0, -286, 144, 0, 8, 93, 0, -136, 30, 0, 4, 40, 0, 544, -149, 0, -48, 0, 0, 152, 8, 0, -60, 216, 0, -42, -8, 0, -18, -57, 0, 52, 24, 0, 0, 136, 0, 52, -42, 0, -73, 392, 0, 16, -64, 0, -70, 24, 0, -60, -80, 0, 11, -15, 0, -584, 29, 0, 32, 304, 0, 43, 40, 0, -16, 117, 0, 260, 16, 0, 12, -32, 0, -80, 64, 0, 120, -74, 0, 32, 0, 0, -88, -32, 0, -74, -26, 0, 10, 43, 0, -12, -22, 0, -26, 64, 0, -136, 176, 0, 42, 2, 0, 0, 113, 0, 48, -152, 0, 494, -17, 0, 64, -232, 0, -192, 0, 0, 120, -152, 0, 122, -128, 0, 102], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 441008
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '666.2.f.i', 'source_level': 666, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '666.2.f.h', 'target_level': 666, 'twist_class_label': '666.2.f.h', 'twist_class_level': 666, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 441009
{'conductor': 111, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '666.2.f.i', 'source_level': 666, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '666.2.f.h', 'target_level': 666, 'twist_class_label': '666.2.f.h', 'twist_class_level': 666, 'twisting_char_label': '111.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 441010
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '666.2.f.i', 'source_level': 666, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '666.2.f.i', 'target_level': 666, 'twist_class_label': '666.2.f.h', 'twist_class_level': 666, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 441011
{'conductor': 37, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '666.2.f.i', 'source_level': 666, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '666.2.f.i', 'target_level': 666, 'twist_class_label': '666.2.f.h', 'twist_class_level': 666, 'twisting_char_label': '37.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1184600
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 2}
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id: 1184601
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029140649902746, 'p': 3}
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id: 1184602
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 5}
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id: 1184603
{'charpoly_factorization': [[[100, 20, 14, -2, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 7}
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id: 1184604
{'charpoly_factorization': [[[-10, -2, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 11}
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id: 1184605
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 13}
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id: 1184606
{'charpoly_factorization': [[[121, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 17}
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id: 1184607
{'charpoly_factorization': [[[4, 12, 38, -6, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 19}
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id: 1184608
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 36029140649902746, 'p': 23}
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id: 1184609
{'charpoly_factorization': [[[-35, -6, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 29}
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id: 1184610
{'charpoly_factorization': [[[-10, -2, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 31}
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id: 1184611
{'charpoly_factorization': [[[1369, 148, -21, 4, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 37}
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id: 1184612
{'charpoly_factorization': [[[2809, 848, 203, 16, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 41}
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id: 1184613
{'charpoly_factorization': [[[-2, 6, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 43}
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id: 1184614
{'charpoly_factorization': [[[-10, 2, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 47}
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id: 1184615
{'charpoly_factorization': [[[1600, 160, 56, -4, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 53}
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id: 1184616
{'charpoly_factorization': [[[1600, 160, 56, -4, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 59}
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id: 1184617
{'charpoly_factorization': [[[25, -40, 59, -8, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 61}
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id: 1184618
{'charpoly_factorization': [[[4, -12, 38, 6, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 67}
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id: 1184619
{'charpoly_factorization': [[[4, 12, 38, -6, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 71}
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id: 1184620
{'charpoly_factorization': [[[-8, -12, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 73}
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id: 1184621
{'charpoly_factorization': [[[8100, 540, 126, -6, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 79}
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id: 1184622
{'charpoly_factorization': [[[1600, 160, 56, -4, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 83}
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id: 1184623
{'charpoly_factorization': [[[625, 300, 119, 12, 1], 1]], 'hecke_orbit_code': 36029140649902746, 'p': 89}
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id: 1184624
{'charpoly_factorization': [[[5, -14, 1], 2]], 'hecke_orbit_code': 36029140649902746, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 9, 'label': '666.2.f.i', 'level': 666, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52068247
{'hecke_orbit_code': 36029140649902746, 'n': 1, 'trace_an': 4}
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id: 52068248
{'hecke_orbit_code': 36029140649902746, 'n': 2, 'trace_an': 2}
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id: 52068249
{'hecke_orbit_code': 36029140649902746, 'n': 3, 'trace_an': 0}
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id: 52068250
{'hecke_orbit_code': 36029140649902746, 'n': 4, 'trace_an': -2}
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id: 52068251
{'hecke_orbit_code': 36029140649902746, 'n': 5, 'trace_an': -2}
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id: 52068252
{'hecke_orbit_code': 36029140649902746, 'n': 6, 'trace_an': 0}
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id: 52068253
{'hecke_orbit_code': 36029140649902746, 'n': 7, 'trace_an': 2}
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id: 52068254
{'hecke_orbit_code': 36029140649902746, 'n': 8, 'trace_an': -4}
-
id: 52068255
{'hecke_orbit_code': 36029140649902746, 'n': 9, 'trace_an': 0}
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id: 52068256
{'hecke_orbit_code': 36029140649902746, 'n': 10, 'trace_an': -4}
-
id: 52068257
{'hecke_orbit_code': 36029140649902746, 'n': 11, 'trace_an': 4}
-
id: 52068258
{'hecke_orbit_code': 36029140649902746, 'n': 12, 'trace_an': 0}
-
id: 52068259
{'hecke_orbit_code': 36029140649902746, 'n': 13, 'trace_an': -4}
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id: 52068260
{'hecke_orbit_code': 36029140649902746, 'n': 14, 'trace_an': 4}
-
id: 52068261
{'hecke_orbit_code': 36029140649902746, 'n': 15, 'trace_an': 0}
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id: 52068262
{'hecke_orbit_code': 36029140649902746, 'n': 16, 'trace_an': -2}
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id: 52068263
{'hecke_orbit_code': 36029140649902746, 'n': 17, 'trace_an': 0}
-
id: 52068264
{'hecke_orbit_code': 36029140649902746, 'n': 18, 'trace_an': 0}
-
id: 52068265
{'hecke_orbit_code': 36029140649902746, 'n': 19, 'trace_an': 6}
-
id: 52068266
{'hecke_orbit_code': 36029140649902746, 'n': 20, 'trace_an': -2}
-
id: 52068267
{'hecke_orbit_code': 36029140649902746, 'n': 21, 'trace_an': 0}
-
id: 52068268
{'hecke_orbit_code': 36029140649902746, 'n': 22, 'trace_an': 2}
-
id: 52068269
{'hecke_orbit_code': 36029140649902746, 'n': 23, 'trace_an': -16}
-
id: 52068270
{'hecke_orbit_code': 36029140649902746, 'n': 24, 'trace_an': 0}
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id: 52068271
{'hecke_orbit_code': 36029140649902746, 'n': 25, 'trace_an': 8}
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