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mf_newforms • Show schema
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{'Nk2': 144, 'analytic_conductor': 0.5310171900516655, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [9, 3, [2], [1]], 'cm_discs': [], 'conrey_indexes': [4, 7], 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 137506062345, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9.4.c.a', 'level': 9, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '9.4.c.a', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{3})q^{2}+(-1+\\beta _{1}+\\beta _{2}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9.4.c', 'trace_display': [-3, -3, -15, -7], 'trace_hash': 1287054051224146071, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.953', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.202', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.774', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1467.505', 'prec': 27}], 'trace_zratio': 0, 'traces': [4, -3, -3, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, -1, 0, -1], [-1, 1, 1, 1], [-4, 1, -3, 3], [-7, 8, 1, -1], [12, -15, 3, -3], [0, -2, 0, -3], [16, 0, -1, 0], [-3, 21, -6, 3], [6, 0, 6, 0], [0, -37, 0, 8], [-52, 22, -5, -2], [13, 2, 15, -15], [-34, 26, -8, 8], [9, -24, -15, 9], [0, -1, 0, 9], [54, 0, 9, 0], [72, 0, 27, -18], [-52, 0, -27, 0], [0, 16, 0, -20], [34, -46, 8, -7], [6, -27, -21, 21], [-7, 26, 19, -19], [-24, 9, 18, 15], [0, 53, 0, 15], [-146, 0, -28, 0], [-117, -18, -18, 36], [92, 0, 18, 0], [0, 26, 0, -1], [42, 48, -6, 12], [-23, 20, -3, 3], [216, -207, 9, -9], [-6, 165, 21, -66], [0, -117, 0, -63], [11, 0, 19, 0], [-12, -141, -60, -15], [2, 0, 54, 0], [0, 241, 0, 79], [253, -124, 11, 17], [-120, 144, 24, -24], [-115, 17, -98, 98], [-162, 12, -60, 18], [0, -47, 0, 6], [-76, 0, 79, 0], [-171, 72, 45, -45], [-138, 0, -12, 0], [0, -154, 0, -91], [-88, 145, -17, 7], [246, -267, -21, 21], [256, -173, 83, -83], [18, 117, 36, 63], [0, 358, 0, 54], [-54, 0, -162, 0], [324, -27, 54, 81], [267, 0, -93, 0], 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8, 2, -1], [11, -2, -2, 4]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-3, -2, 2, 1], [0, 5, 1, -1], [-9, 2, 1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '9.4.c.a', 'level': 9, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 144, 'analytic_conductor': 0.5310171900516655, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [9, 3, [2], [1]], 'conrey_indexes': [4, 7], 'cusp_dim': 4, 'dim': 4, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [], 'hecke_orbit_code': 137506062345, 'hecke_orbit_dims': [4], 'label': '9.4.c', 'level': 9, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 8, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 2, 'sturm_bound': 4, 'trace_bound': 0, 'trace_display': [-3, -3, -15, -7], 'traces': [4, -3, -3, -5, -15, 9, -7, 66, 45, 12, -66, -156, 11, -60, 27, 7, 198, 216, -154, 12, 21, 33, -33, -99, 121, -528, -432, 332, 51, 288, -43, 423, 198, -297, 6, -225, -100, 561, 759, -264, -132, -486, -88, -462, -675, -528, -399, -21, 513, 429, 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-22221, 62343, 34452, -2970, -41464, -38352, -10428, -27636, -21363, 23148, 28545, 34806, -648, -7062, -18768, -41316, 57640, -53493, -1881, -10098, -80226, -90396, 50070, -54114, -9009, 6648, 25671, 43200, 58509, -36696, -47871, 138842, -16797, -4554, 13079, -18150, -71577, -12306, 64152, 37665, 10642, -43746, 42438, -14056, -23100, 24804, 22572, 20016, 85140, 92190, -36273, -77616, 53406, 6534, -54243, -53702, 6666, 12474, 102608, 9540, -38373, -60048, 4668, 52020, -71071, 121458, 10800, -86064], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 5277
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '9.4.c.a', 'target_level': 9, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 5278
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '9.4.c.a', 'target_level': 9, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 5279
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '27.4.c.a', 'target_level': 27, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 5280
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '27.4.c.a', 'target_level': 27, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 5281
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.4.a.a', 'target_level': 81, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 5282
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '81.4.a.d', 'target_level': 81, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 5283
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '144.4.i.c', 'target_level': 144, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 5284
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '144.4.i.c', 'target_level': 144, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 5285
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.4.e.b', 'target_level': 225, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 5286
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.4.e.b', 'target_level': 225, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 5287
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.4.k.b', 'target_level': 225, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 5288
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.4.k.b', 'target_level': 225, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 5289
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '432.4.i.c', 'target_level': 432, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 5290
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '432.4.i.c', 'target_level': 432, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 5291
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1296.4.a.i', 'target_level': 1296, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 5292
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1296.4.a.u', 'target_level': 1296, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 5293
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2025.4.a.g', 'target_level': 2025, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 5294
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '9.4.c.a', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2025.4.a.n', 'target_level': 2025, 'twist_class_label': '9.4.c.a', 'twist_class_level': 9, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 37500
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 2}
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id: 37501
{'charpoly_factorization': [[[729, 81, -18, 3, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 3}
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id: 37502
{'charpoly_factorization': [[[2304, 720, 177, 15, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 5}
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id: 37503
{'charpoly_factorization': [[[3844, -434, 111, 7, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 7}
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id: 37504
{'charpoly_factorization': [[[314721, 37026, 3795, 66, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 11}
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id: 37505
{'charpoly_factorization': [[[3334276, 20086, 1947, -11, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 13}
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id: 37506
{'charpoly_factorization': [[[1782, -99, 1], 2]], 'hecke_orbit_code': 137506062345, 'p': 17}
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id: 37507
{'charpoly_factorization': [[[-4532, 77, 1], 2]], 'hecke_orbit_code': 137506062345, 'p': 19}
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id: 37508
{'charpoly_factorization': [[[7322436, -89298, 3795, 33, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 23}
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id: 37509
{'charpoly_factorization': [[[412164, -32742, 1959, -51, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 29}
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id: 37510
{'charpoly_factorization': [[[150544, 16684, 1461, 43, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 31}
-
id: 37511
{'charpoly_factorization': [[[-23432, 50, 1], 2]], 'hecke_orbit_code': 137506062345, 'p': 37}
-
id: 37512
{'charpoly_factorization': [[[5606565129, -9883764, 92301, 132, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 41}
-
id: 37513
{'charpoly_factorization': [[[2686321, 144232, 6105, 88, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 43}
-
id: 37514
{'charpoly_factorization': [[[813276324, -11378682, 187719, 399, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 47}
-
id: 37515
{'charpoly_factorization': [[[-215784, -54, 1], 2]], 'hecke_orbit_code': 137506062345, 'p': 53}
-
id: 37516
{'charpoly_factorization': [[[43678881, 5273982, 630195, 798, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 59}
-
id: 37517
{'charpoly_factorization': [[[1829786176, -18778664, 235497, 439, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 61}
-
id: 37518
{'charpoly_factorization': [[[43305193801, 205601812, 768045, 988, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 67}
-
id: 37519
{'charpoly_factorization': [[[296784, -1368, 1], 2]], 'hecke_orbit_code': 137506062345, 'p': 71}
-
id: 37520
{'charpoly_factorization': [[[-435398, 455, 1], 2]], 'hecke_orbit_code': 137506062345, 'p': 73}
-
id: 37521
{'charpoly_factorization': [[[392522298256, 503092348, 1271325, -803, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 79}
-
id: 37522
{'charpoly_factorization': [[[5010940944, 57550644, 590181, 813, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 83}
-
id: 37523
{'charpoly_factorization': [[[-3564, 396, 1], 2]], 'hecke_orbit_code': 137506062345, 'p': 89}
-
id: 37524
{'charpoly_factorization': [[[2459267281, 36498976, 492105, 736, 1], 1]], 'hecke_orbit_code': 137506062345, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '9.4.c.a', 'level': 9, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 22845000
{'hecke_orbit_code': 137506062345, 'n': 1, 'trace_an': 4}
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id: 22845001
{'hecke_orbit_code': 137506062345, 'n': 2, 'trace_an': -3}
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id: 22845002
{'hecke_orbit_code': 137506062345, 'n': 3, 'trace_an': -3}
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id: 22845003
{'hecke_orbit_code': 137506062345, 'n': 4, 'trace_an': -5}
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id: 22845004
{'hecke_orbit_code': 137506062345, 'n': 5, 'trace_an': -15}
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id: 22845005
{'hecke_orbit_code': 137506062345, 'n': 6, 'trace_an': 9}
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id: 22845006
{'hecke_orbit_code': 137506062345, 'n': 7, 'trace_an': -7}
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id: 22845007
{'hecke_orbit_code': 137506062345, 'n': 8, 'trace_an': 66}
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id: 22845008
{'hecke_orbit_code': 137506062345, 'n': 9, 'trace_an': 45}
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id: 22845009
{'hecke_orbit_code': 137506062345, 'n': 10, 'trace_an': 12}
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id: 22845010
{'hecke_orbit_code': 137506062345, 'n': 11, 'trace_an': -66}
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id: 22845011
{'hecke_orbit_code': 137506062345, 'n': 12, 'trace_an': -156}
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id: 22845012
{'hecke_orbit_code': 137506062345, 'n': 13, 'trace_an': 11}
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id: 22845013
{'hecke_orbit_code': 137506062345, 'n': 14, 'trace_an': -60}
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id: 22845014
{'hecke_orbit_code': 137506062345, 'n': 15, 'trace_an': 27}
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id: 22845015
{'hecke_orbit_code': 137506062345, 'n': 16, 'trace_an': 7}
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id: 22845016
{'hecke_orbit_code': 137506062345, 'n': 17, 'trace_an': 198}
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id: 22845017
{'hecke_orbit_code': 137506062345, 'n': 18, 'trace_an': 216}
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id: 22845018
{'hecke_orbit_code': 137506062345, 'n': 19, 'trace_an': -154}
-
id: 22845019
{'hecke_orbit_code': 137506062345, 'n': 20, 'trace_an': 12}
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id: 22845020
{'hecke_orbit_code': 137506062345, 'n': 21, 'trace_an': 21}
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id: 22845021
{'hecke_orbit_code': 137506062345, 'n': 22, 'trace_an': 33}
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id: 22845022
{'hecke_orbit_code': 137506062345, 'n': 23, 'trace_an': -33}
-
id: 22845023
{'hecke_orbit_code': 137506062345, 'n': 24, 'trace_an': -99}
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id: 22845024
{'hecke_orbit_code': 137506062345, 'n': 25, 'trace_an': 121}
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id: 22845025
{'hecke_orbit_code': 137506062345, 'n': 26, 'trace_an': -528}
-
id: 22845026
{'hecke_orbit_code': 137506062345, 'n': 27, 'trace_an': -432}
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id: 22845027
{'hecke_orbit_code': 137506062345, 'n': 28, 'trace_an': 332}
-
id: 22845028
{'hecke_orbit_code': 137506062345, 'n': 29, 'trace_an': 51}
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id: 22845029
{'hecke_orbit_code': 137506062345, 'n': 30, 'trace_an': 288}
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id: 22845030
{'hecke_orbit_code': 137506062345, 'n': 31, 'trace_an': -43}
-
id: 22845031
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