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mf_newforms • Show schema
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{'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 55, 'char_orbit_label': 'cc', 'char_order': 6, 'char_parity': 1, 'char_values': [1456, 6, [911, 1093, 1249, 561], [6, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 225, 'conrey_indexes': [225, 673], 'dim': 12, 'field_disc': 81616938552262656, 'field_disc_factorization': [[2, 20], [3, 6], [10333, 2]], 'field_poly': [169, -832, 2141, -3394, 3842, -3172, 2127, -1066, 460, -140, 39, -6, 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': [[3, [4, -4, 46, 90, 397, 296, 354, -34, 103, -4, 14, -2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13514509767411120, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1456.2.cc.d', 'level': 1456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 13], 'level_radical': 182, 'minimal_twist': '182.2.m.b', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{10}q^{3}+(-\\beta _{1}+\\beta _{5}-\\beta _{6}+\\beta _{7}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1456.2.cc', 'trace_display': [0, 2, 0, 0], 'trace_hash': 1941673450157123924, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.222', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.795', 'prec': 17}, 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mf_hecke_nf • Show schema
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-7, -7, 0, 1, 6, -3, 3, -14], [0, 4, 6, 0, -2, 10, -10, 2, 4, -2, 6, 10], [-4, 10, -2, -2, 0, -12, 16, -2, 0, 0, -4, 4], [6, -3, 0, -2, -3, 42, -19, -3, -1, 2, -9, 2], [10, 3, 0, -8, 3, -16, 16, -13, -6, 12, 3, 8], [5, -10, 8, -1, 10, 0, -2, 15, 3, 0, 4, -1], [-25, -6, -6, -6, 12, 0, 0, 6, -4, -4, 0, 0], [-20, -8, -3, 8, 16, 8, 8, 8, 0, 0, 0, 0], [14, 2, 0, 0, 0, -18, 18, -30, -4, 4, 0, 0], [-32, 0, 0, 4, 0, -6, -2, 16, 0, -6, 0, -2], [0, 3, 10, 4, -3, 0, 11, -3, 5, 0, 5, 4], [0, 16, 4, 0, -8, -22, 38, -22, 0, 0, 4, -6], [-3, 2, 0, 5, 2, 6, -8, 1, -3, 6, -8, -5], [-13, -4, -16, -7, 4, 0, -2, -9, -3, 0, -8, -7], [-9, -5, 0, 15, -5, 30, -30, 14, 7, -14, 1, -15], [0, -8, -10, 0, 4, 8, -24, 36, 20, -10, -10, -8], [2, -7, 6, 2, 7, 0, -25, 9, 7, 0, 3, 2], [-6, 0, -7, -10, 3, -20, 5, 3, 0, 8, 7, 5], [35, 4, 10, -3, -8, 5, 5, -4, -1, -1, 0, 0], [-30, 0, -2, -14, -10, 5, 7, 15, 0, 13, 2, 7], [-19, -11, -4, 5, 11, 0, -4, -8, -7, 0, -2, 5], [-34, 0, -4, -2, 16, 1, 1, 17, 0, -5, 4, 1], [-11, 7, 0, 17, 7, -18, -8, 4, 4, -8, 9, -17], [6, -4, 0, 0, 4, 0, 8, 10, 14, 0, 0, 0], [-4, 2, -12, -2, -2, 0, 26, -6, -12, 0, -6, -2], [-7, 3, 7, -3, 0, 5, 1, 11, 14, -14, 14, 6], [3, 3, 0, 1, 3, 0, -1, -6, 0, 0, -19, -1], [0, 3, -15, 16, -6, 0, 0, -3, -12, -12, 0, 0], [-4, 0, 0, -20, 10, 2, 10, 2, 0, 12, 0, 10], [0, -28, -2, 0, 14, -6, 6, 12, 16, -8, -2, -6], [5, -13, 4, 1, 13, 0, 24, 18, -3, 0, 2, 1], [-1, -2, 3, 17, 4, -21, -21, 2, 1, 1, 0, 0], [-26, 0, -1, 2, 1, 4, -1, 13, 0, -6, 1, -1], [-17, -11, 5, -8, 22, -1, -1, 11, 3, 3, 0, 0], [-16, 0, 0, 8, 0, 40, -28, 16, 10, -20, 8, -8], [5, -8, 0, -1, 0, 4, -2, -2, 12, -12, 0, 2], [-15, -8, 0, -9, -8, -24, 21, 23, 0, 0, 14, 9], [22, 0, -1, -14, 13, 18, 7, -11, 0, 4, 1, 7], [0, 2, 2, 0, -1, 2, 2, -2, -16, 8, 2, 6], [-24, 0, -2, 12, 8, 10, -6, 12, 0, -4, 2, -6], [11, -5, -9, -3, 0, 10, -4, -17, -14, 14, -18, 6], [28, 0, 6, -8, 16, 10, 4, -14, 0, 10, -6, 4], [0, -18, -13, 0, 9, 19, -40, 30, 6, -3, -13, -2], [-2, -1, 2, -10, 2, 15, 15, 1, 5, 5, 0, 0], [22, -4, -6, 0, 0, 10, -10, -40, 2, -2, -12, 0], [-13, -9, 6, -1, 9, 0, -25, -4, 12, 0, 3, -1], [0, -10, -1, 0, 5, -1, 10, -1, -14, 7, -1, 8], [0, 0, 8, 0, 0, 0, -2, 18, 4, -2, 8, -2], [-15, -4, 12, -1, 4, 0, 4, -11, 3, 0, 6, -1], [30, 0, 6, 2, 4, -11, -1, -15, 0, -1, -6, -1], [0, -21, 1, 6, 0, 5, -17, 21, 17, -17, 2, -12], [-10, 0, 2, 6, 12, -42, -3, 5, 0, 3, -2, -3], [0, -10, 3, 0, 5, -10, 30, 10, -16, 8, 3, 10], [16, 2, 0, -4, 2, 32, -12, -18, -6, 12, 4, 4], [2, -12, 8, 10, 12, 0, 12, 14, -14, 0, 4, 10], [-3, 6, 8, 15, -12, -13, -13, -6, -5, -5, 0, 0], [6, 4, -10, 6, -4, 0, 15, 2, -5, 0, -5, 6], [-21, 25, -6, 7, 0, -23, 9, 17, -3, 3, -12, -14], [-32, -4, -20, 4, 8, 0, 0, 4, -4, -4, 0, 0], [-21, 4, -8, -4, -8, -12, -12, -4, 0, 0, 0, 0], [14, 7, -3, 4, 0, -3, -5, -35, -3, 3, -6, -8], [20, 0, 6, -12, -8, 2, 6, -10, 0, 16, -6, 6], [0, 14, -5, 0, -7, 10, -21, 3, 0, 0, -5, -1], [-6, -4, 0, 10, -4, 16, -18, 10, 4, -8, 2, -10], [0, 14, -9, 0, -7, 18, -30, -46, 0, 0, -9, 6], [4, -9, -10, -4, 9, 0, 7, 13, 9, 0, -5, -4], [-2, 0, -13, -26, -5, -15, 13, 1, 0, 7, 13, 13], [0, 12, -8, 0, -6, 0, 10, -4, 4, -2, -8, 10], [30, 7, 8, -2, -14, 11, 11, -7, 1, 1, 0, 0], [-12, 10, -4, 0, -20, -8, -8, -10, -4, -4, 0, 0], [6, 1, 0, -10, 1, 14, 3, -7, -1, 2, -4, 10], [-5, 9, 0, -5, 9, 6, 2, -4, -9, 18, 4, 5], [20, 22, -6, 0, -22, 0, 40, -2, 4, 0, -3, 0], [0, -2, -1, 0, 1, -6, 21, -1, -8, 4, -1, 9], [4, 23, 5, 6, 0, -41, 29, -31, 9, -9, 10, -12], [7, 3, 0, 3, 3, -14, 4, -10, 2, -4, -11, -3]], 'char_orbit_index': 55, 'field_poly': [169, -832, 2141, -3394, 3842, -3172, 2127, -1066, 460, -140, 39, -6, 1], 'hecke_orbit_code': 13514509767411120, 'hecke_ring_character_values': [[911, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1093, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1249, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [561, [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 286, 286, 7898, 102674, 102674, 7898, 102674, 102674, 102674, 102674], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0], [-2, -5, 2, -1, 0, -4, 6, -2, -1, 1, 1, -1], [29, -9, -9, 6, -4, -21, -1, -6, -1, 3, 2, -2], [34, 33, -35, 11, -10, 26, -73, 25, 13, -8, -15, 8], [-247, 88, 42, -41, 48, 266, -81, 124, 25, -48, -50, 29], [-526, -244, 400, -117, 203, 14, 668, -145, -115, 17, 135, -60], [2008, -949, 91, 304, -340, -2765, 1517, -1632, -363, 515, 778, -380], [7116, 1710, -3791, 1329, -2790, -3066, -5265, -287, 839, 454, -673, 264], [-13713, 10483, -5273, -1974, 650, 25127, -20512, 17550, 4411, -4630, -9560, 4383], [-85518, -8841, 31330, -14866, 31493, 57148, 33458, 22413, -4506, -9684, -3186, 1759]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2041, -7860, 17046, -21914, 20323, -12694, 6728, -2284, 751, -120, 24, 0], [-5252, 14085, -27273, 31106, -28044, 16885, -8881, 2974, -976, 155, -31, 0], [66227, -270385, 592138, -762542, 670405, -390377, 192268, -51264, 15887, -51, 186, 162], [-1517893, 5858917, -12124347, 15194803, -13790463, 9077085, -4762085, 1852053, -590285, 132943, -22649, 2323], [-689598, 1916664, -3683500, 3839377, -3573290, 1541776, -841546, 35569, -29708, -34218, 2904, -2323], [-3573, -2756, 98790, -238324, 336079, -301272, 195608, -98512, 34641, -10668, 1782, -324], [-527956, -2116390, 7075047, -13546965, 12482628, -10201456, 5177975, -2485739, 741326, -223218, 33053, -5977], [-3597672, 11829853, -21335604, 23328279, -19119820, 12377355, -6035626, 2597029, -766456, 221423, -32694, 5977], [-435708, 1319919, -1550640, -212336, 2547170, -3406537, 2562258, -1501380, 543572, -187767, 30826, -6388], [1667016, -7811231, 15896592, -21887598, 20588490, -15228345, 8280896, -3759676, 1207618, -344643, 55128, -9240]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '1456.2.cc.d', 'level': 1456, 'maxp': 1999, 'weight': 2}
-
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{'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 55, 'char_orbit_label': 'cc', 'char_order': 6, 'char_parity': 1, 'char_values': [1456, 6, [911, 1093, 1249, 561], [6, 6, 6, 1]], 'conrey_index': 225, 'cusp_dim': 424, 'dim': 84, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 3710885299632, 'hecke_orbit_dims': [4, 4, 12, 12, 12, 16, 24], 'label': '1456.2.cc', 'level': 1456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 13], 'level_radical': 182, 'mf_dim': 472, 'mf_new_dim': 84, 'num_forms': 7, 'prim_orbit_index': 5, 'relative_dim': 42, 'sturm_bound': 448, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 12, 0, -88, 0, -24, 0, 2, 0, 0, 0, 0, 0, 12, 0, 30, 0, 12, 0, 6, 0, -28, 0, -30, 0, 0, 0, 42, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 739985
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '182.2.m.b', 'target_level': 182, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 739986
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '182.2.m.b', 'target_level': 182, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 739987
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1274.2.m.c', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 739988
{'conductor': 364, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1274.2.m.c', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '364.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 739989
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1274.2.o.d', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 739990
{'conductor': 364, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1274.2.o.d', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '364.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 739991
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1274.2.o.e', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 739992
{'conductor': 364, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1274.2.o.e', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '364.bp', 'twisting_char_orbit': 42, 'weight': 2}
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id: 739993
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 22, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1274.2.v.d', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 739994
{'conductor': 364, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 22, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1274.2.v.d', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '364.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 739995
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 22, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1274.2.v.e', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 739996
{'conductor': 364, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 22, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1274.2.v.e', 'target_level': 1274, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '364.bk', 'twisting_char_orbit': 37, 'weight': 2}
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id: 739997
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 55, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1456.2.cc.d', 'target_level': 1456, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 739998
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 55, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1456.2.cc.d', 'target_level': 1456, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 739999
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 36, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1638.2.bj.g', 'target_level': 1638, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 740000
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 36, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1638.2.bj.g', 'target_level': 1638, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 740001
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '2366.2.a.bf', 'target_level': 2366, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 740002
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '2366.2.a.bh', 'target_level': 2366, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 740003
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2366.2.d.r', 'target_level': 2366, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 740004
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1456.2.cc.d', 'source_level': 1456, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2366.2.d.r', 'target_level': 2366, 'twist_class_label': '182.2.m.b', 'twist_class_level': 182, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1966400
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 13514509767411120, 'p': 2}
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id: 1966401
{'charpoly_factorization': [[[4, -4, 46, 90, 397, 296, 354, -34, 103, -4, 14, -2, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 3}
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id: 1966402
{'charpoly_factorization': [[[5041, 0, 13306, 0, 11827, 0, 4292, 0, 643, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 5}
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id: 1966403
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 3]], 'hecke_orbit_code': 13514509767411120, 'p': 7}
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id: 1966404
{'charpoly_factorization': [[[495616, 270336, -390144, -239616, 425344, -196992, 32288, 2976, -1292, -180, 118, -18, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 11}
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id: 1966405
{'charpoly_factorization': [[[4826809, 2970344, 428415, -70304, 5408, 19344, 7393, 1488, 32, -32, 15, 8, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 13}
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id: 1966406
{'charpoly_factorization': [[[30976, 140800, 670976, -81664, 158512, -32128, 31536, -5944, 2017, -180, 55, -4, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 17}
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id: 1966407
{'charpoly_factorization': [[[369869824, 427411968, 181636480, 19646016, -5579760, -1164288, 177168, 58032, 668, -912, -28, 12, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 19}
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id: 1966408
{'charpoly_factorization': [[[9872164, -8527388, 7701990, -2776194, 1549537, -440172, 220868, -37182, 7659, -568, 104, -6, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 23}
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id: 1966409
{'charpoly_factorization': [[[135424, -1389568, 14119808, -1826048, 2211376, 498400, 251544, 32824, 7417, 714, 139, 10, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 29}
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id: 1966410
{'charpoly_factorization': [[[1024, 0, 6144, 0, 12160, 0, 8960, 0, 1732, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 31}
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id: 1966411
{'charpoly_factorization': [[[1024, -58368, 1294592, -10579200, 33907424, -2505792, -798408, 66192, 15537, -894, -137, 6, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 37}
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id: 1966412
{'charpoly_factorization': [[[1024, 9216, -43264, -638208, 4779872, 3030720, 659112, 22968, -8439, -408, 175, 24, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 41}
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id: 1966413
{'charpoly_factorization': [[[8667136, -23740416, 73035776, 19861504, 9606912, 2570496, 921536, 208704, 39364, 4860, 462, 26, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 43}
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id: 1966414
{'charpoly_factorization': [[[31719424, 0, 28672000, 0, 8302848, 0, 819456, 0, 24416, 0, 272, 0, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 47}
-
id: 1966415
{'charpoly_factorization': [[[44928, -31104, 144, 1656, -51, -18, 1], 2]], 'hecke_orbit_code': 13514509767411120, 'p': 53}
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id: 1966416
{'charpoly_factorization': [[[4, 84, 406, -3822, 3565, 31656, 47378, 27102, 5479, -468, -66, 6, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 59}
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id: 1966417
{'charpoly_factorization': [[[80364879169, 62921640572, 33909959555, 9422794012, 1935744868, 270975484, 30398097, 2494876, 187276, 11100, 715, 28, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 61}
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id: 1966418
{'charpoly_factorization': [[[1024, 3072, -4096, -21504, 40640, 33600, -26304, -22272, 25956, -6468, 742, -42, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 67}
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id: 1966419
{'charpoly_factorization': [[[750321664, -236666880, -103503104, 40495680, 15610465, -1764768, -953986, 29952, 55507, 10656, 990, 48, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 71}
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id: 1966420
{'charpoly_factorization': [[[2708994304, 0, 9502358016, 0, 618532768, 0, 13876928, 0, 136897, 0, 610, 0, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 73}
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id: 1966421
{'charpoly_factorization': [[[8032, -23584, -12480, -1584, 62, 22, 1], 2]], 'hecke_orbit_code': 13514509767411120, 'p': 79}
-
id: 1966422
{'charpoly_factorization': [[[879478336, 0, 322506496, 0, 43582320, 0, 2608512, 0, 64124, 0, 464, 0, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 83}
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id: 1966423
{'charpoly_factorization': [[[10303062016, -10855243776, 4405123072, -624552960, -36195072, 15794688, 371328, -352320, 18032, 2208, -136, -12, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 89}
-
id: 1966424
{'charpoly_factorization': [[[6400000000, -1920000000, -928000000, 336000000, 160160000, -15360000, -4204800, 461760, 77616, -18240, 1504, -60, 1], 1]], 'hecke_orbit_code': 13514509767411120, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 55, 'hecke_orbit': 4, 'label': '1456.2.cc.d', 'level': 1456, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 146469000
{'hecke_orbit_code': 13514509767411120, 'n': 1, 'trace_an': 12}
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id: 146469001
{'hecke_orbit_code': 13514509767411120, 'n': 2, 'trace_an': 0}
-
id: 146469002
{'hecke_orbit_code': 13514509767411120, 'n': 3, 'trace_an': 2}
-
id: 146469003
{'hecke_orbit_code': 13514509767411120, 'n': 4, 'trace_an': 0}
-
id: 146469004
{'hecke_orbit_code': 13514509767411120, 'n': 5, 'trace_an': 0}
-
id: 146469005
{'hecke_orbit_code': 13514509767411120, 'n': 6, 'trace_an': 0}
-
id: 146469006
{'hecke_orbit_code': 13514509767411120, 'n': 7, 'trace_an': 0}
-
id: 146469007
{'hecke_orbit_code': 13514509767411120, 'n': 8, 'trace_an': 0}
-
id: 146469008
{'hecke_orbit_code': 13514509767411120, 'n': 9, 'trace_an': -6}
-
id: 146469009
{'hecke_orbit_code': 13514509767411120, 'n': 10, 'trace_an': 0}
-
id: 146469010
{'hecke_orbit_code': 13514509767411120, 'n': 11, 'trace_an': 18}
-
id: 146469011
{'hecke_orbit_code': 13514509767411120, 'n': 12, 'trace_an': 0}
-
id: 146469012
{'hecke_orbit_code': 13514509767411120, 'n': 13, 'trace_an': -8}
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id: 146469013
{'hecke_orbit_code': 13514509767411120, 'n': 14, 'trace_an': 0}
-
id: 146469014
{'hecke_orbit_code': 13514509767411120, 'n': 15, 'trace_an': 6}
-
id: 146469015
{'hecke_orbit_code': 13514509767411120, 'n': 16, 'trace_an': 0}
-
id: 146469016
{'hecke_orbit_code': 13514509767411120, 'n': 17, 'trace_an': 4}
-
id: 146469017
{'hecke_orbit_code': 13514509767411120, 'n': 18, 'trace_an': 0}
-
id: 146469018
{'hecke_orbit_code': 13514509767411120, 'n': 19, 'trace_an': -12}
-
id: 146469019
{'hecke_orbit_code': 13514509767411120, 'n': 20, 'trace_an': 0}
-
id: 146469020
{'hecke_orbit_code': 13514509767411120, 'n': 21, 'trace_an': 0}
-
id: 146469021
{'hecke_orbit_code': 13514509767411120, 'n': 22, 'trace_an': 0}
-
id: 146469022
{'hecke_orbit_code': 13514509767411120, 'n': 23, 'trace_an': 6}
-
id: 146469023
{'hecke_orbit_code': 13514509767411120, 'n': 24, 'trace_an': 0}
-
id: 146469024
{'hecke_orbit_code': 13514509767411120, 'n': 25, 'trace_an': -24}
-
id: 146469025
{'hecke_orbit_code': 13514509767411120, 'n': 26, 'trace_an': 0}
-
id: 146469026
{'hecke_orbit_code': 13514509767411120, 'n': 27, 'trace_an': -40}
-
id: 146469027
{'hecke_orbit_code': 13514509767411120, 'n': 28, 'trace_an': 0}
-
id: 146469028
{'hecke_orbit_code': 13514509767411120, 'n': 29, 'trace_an': -10}
-
id: 146469029
{'hecke_orbit_code': 13514509767411120, 'n': 30, 'trace_an': 0}
-
id: 146469030
{'hecke_orbit_code': 13514509767411120, 'n': 31, 'trace_an': 0}
-
id: 146469031
{'hecke_orbit_code': 13514509767411120, 'n': 32, 'trace_an': 0}
-
id: 146469032
{'hecke_orbit_code': 13514509767411120, 'n': 33, 'trace_an': 12}
-
id: 146469033
{'hecke_orbit_code': 13514509767411120, 'n': 34, 'trace_an': 0}
-
id: 146469034
{'hecke_orbit_code': 13514509767411120, 'n': 35, 'trace_an': -2}
-
id: 146469035
{'hecke_orbit_code': 13514509767411120, 'n': 36, 'trace_an': 0}
-
id: 146469036
{'hecke_orbit_code': 13514509767411120, 'n': 37, 'trace_an': -6}
-
id: 146469037
{'hecke_orbit_code': 13514509767411120, 'n': 38, 'trace_an': 0}
-
id: 146469038
{'hecke_orbit_code': 13514509767411120, 'n': 39, 'trace_an': 54}
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