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mf_newforms • Show schema
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{'Nk2': 3468, 'analytic_conductor': 6.92302985524501, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [17, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [867, 1, [290, 292], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 3418281, 'field_disc_factorization': [[3, 8], [521, 1]], 'field_poly': [-1, 12, 18, -4, -9, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [8, -24, 6, 19, -6, -3, 1]], [5, [136, 228, 60, -51, -18, 3, 1]], [7, [-477, -297, 171, 75, -27, -3, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444112739, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '867.2.a.p', 'level': 867, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 17], 'level_radical': 51, 'minimal_twist': '867.2.a.o', 'nf_label': '6.6.3418281.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{4}q^{2}+q^{3}+(1+\\beta _{1}+\\beta _{2}-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '867.2.a', 'trace_display': [3, 6, -3, 3], 'trace_hash': 2006335841304731389, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.076', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.461', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.904', 'prec': 17}, {'__RealLiteral__': 0, 'data': '81.977', 'prec': 20}, {'__RealLiteral__': 0, 'data': '117.312', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1882.326', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [6, 3, 6, 9, -3, 3, 3, 12, 6, 12, -9, 9, 9, -6, -3, 15, 0, 3, 9, 6, 3, -18, -9, 12, 15, -12, 6, -15, -6, 12, 24, 42, -9, 0, 0, 9, -3, -6, 9, -3, -18, -6, 0, -3, -3, 15, 24, 15, 21, 12, 0, -18, 24, 3, -24, -54, 9, 3, -9, 6, 21, -30, 3, 24, 9, -18, -6, 0, -9, -3, -27, 12, 18, -36, 15, -3, 33, -12, 24, -3, 6, -15, 6, -15, 0, 6, -6, -24, 0, 12, 39, 0, 24, -15, -42, 42, -33, -57, -9, -45, 24, 0, 24, -51, 0, 18, -6, 9, 12, -57, -3, -18, -12, -6, -36, -39, 9, -6, 0, -3, 27, 66, -18, 27, -6, -6, 36, 3, 0, 45, 36, -3, -18, 0, -3, 0, 3, 15, 9, -15, 24, -3, -18, 15, 6, 57, 21, -27, -9, 12, -36, 12, 0, -60, -39, -18, 60, 27, 24, -39, -36, 3, 6, -18, -24, -39, 0, -54, -15, 0, 9, -42, -51, 3, 45, 0, -9, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [1, 0, 0, 0, 0, 0], [1, 1, 1, 0, -1, 2], [-1, 0, 0, -1, -1, -1], [0, 0, 0, 0, -1, 0], [1, -2, -1, -1, 1, -1], [1, 2, 2, 1, -2, 3], [1, 0, 0, 0, 0, 0], [2, 1, -1, -1, 0, -1], [-1, -1, 1, 0, 1, 2], [1, 1, 1, 0, -1, 2], [2, -1, -1, -1, 1, -2], [-1, 0, 0, 1, 0, -3], [-1, 0, 0, -1, -1, -1], [1, 0, 2, 1, -3, 3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [2, 1, -2, 1, 1, 0], [1, 1, -5, 0, 0, -2], [1, -2, -1, -1, 1, -1], [-3, 0, 4, 3, 0, 1], [-2, 0, 2, 2, -1, 2], [1, 2, 2, 1, -2, 3], [3, -2, -4, 0, 1, -4], [-2, -1, -3, -1, 0, -5], [1, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 3, 1], [-1, -1, -1, 0, 0, -2], [2, 1, -1, -1, 0, -1], [5, 1, 0, 0, 2, 1], [6, -1, 5, 1, -2, 5], [-1, -1, 1, 0, 1, 2], [0, 0, 0, 0, 0, 0], [-1, 1, 5, 0, -2, -2], [1, 1, 1, 0, -1, 2], [0, 2, 0, 0, 1, -1], [-1, 0, -4, -1, 0, -1], [2, -1, -1, -1, 1, -2], [0, 1, -7, -1, 1, -1], [-3, 2, -2, -1, 0, -1], [-1, 0, 0, 1, 0, -3], [0, -3, 2, 1, 0, -1], [1, -4, 6, 1, 3, 3], [-1, 0, 0, -1, -1, -1], 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0, 5, -3], [-4, 6, 0, 2, -5, 8], [-6, -3, 0, 3, 0, 1], [7, 3, 4, 0, -6, 1], [1, -5, 1, 1, 0, 1], [1, 4, 6, 3, 2, 9], [-9, 4, 2, 3, -1, 3], [1, -6, 8, -5, -1, 3], [4, -7, -2, -1, -1, -5], [-4, 1, 3, 3, 3, -5], [-11, -3, 4, 2, -1, -4], [-4, -4, -6, 2, 6, 0], [10, 2, -4, 1, -1, 3], [-1, -2, -10, 1, -5, -6], [-2, 1, -7, 2, 3, -4], [4, 2, -2, -4, -1, -2], [-6, 3, -1, 4, -3, 2], [-7, 3, -3, -4, 1, 0], [1, -3, -11, 0, -1, -10], [-4, 2, -6, -7, -4, -9], [1, -10, -2, -3, -2, -7], [-1, 3, 15, 4, 0, 6], [3, 1, 5, -4, 2, 4], [-3, 4, 6, 3, 5, -1], [0, 0, -9, -4, 2, 1], [-2, 3, 8, 1, 0, 12], [2, -2, -4, 2, -6, -8], [7, 3, 1, -2, -3, -5], [16, -2, 8, 0, 0, 4], [0, 9, -1, -2, 2, -4], [-6, 5, -1, -3, -4, -15], [6, 2, 7, 8, -2, 5], [8, -4, -8, -4, 5, 2], [4, 1, 12, 7, -3, 5], [15, -7, -1, -4, 2, -2], [-10, -1, 3, -1, -2, -3], [1, 5, 7, -1, -12, -5], [9, 4, 2, 11, -1, 3], [0, -4, -6, -2, 9, 8], [4, -9, -3, -3, 5, -8], [10, -1, 7, -2, 1, -4], [-9, 3, 0, 0, -6, 3], [5, 2, -10, -1, 0, 5], [11, 1, 3, -2, -3, 4], [-4, 3, -9, -1, 3, 3], [13, -7, -5, -4, 9, -12], [-5, 1, 1, -8, -5, -3], [-14, -6, 6, 0, -4, -6], [-10, 2, 11, 4, -2, -3], [-3, 1, -3, 4, 4, 2], [0, -3, -6, -9, -3, -13], [3, 2, 12, -1, -12, -2], [2, -2, -10, 2, 2, -16], [11, 3, 3, 4, 3, 0], [5, 5, 13, 3, 1, 11], [12, -12, 0, -2, 11, -4], [1, -8, -5, -3, -9, -14], [-4, 3, 9, 13, 0, 3], [-8, 1, 7, 1, -9, -1], [-2, 10, 7, 2, 1, 11], [-14, 3, -1, -3, 3, -1], [11, -7, -16, -2, 8, -14], [-4, 1, 15, 5, -4, -1], [-12, 12, 4, 2, -1, 8], [-7, 7, -5, 2, 5, -2], [2, 8, 4, 1, -4, 3], [-3, 3, -3, 5, 0, -7], [0, 9, 2, 3, -3, 17], [13, 2, 4, -7, 1, -11], [0, 4, 6, -4, -15, -2], [-2, 3, -11, 5, 5, -17], [5, -1, -2, 0, -1, -12], [-7, -12, -1, -7, -3, -13], [-9, 2, 4, 1, 4, 17], [-10, 0, 10, 4, -10, 12], [-12, 1, -5, -9, -7, -1], [-6, -9, -1, -5, -5, -6], [10, 8, 4, 12, -1, 5], [16, 6, 7, 4, 3, 15], [5, -7, -3, 6, 3, 0], [-2, -5, 7, -6, 1, -12], [-7, -1, 1, -4, -1, -5], [2, 14, 8, 8, -9, 8], [-2, 2, 0, 4, 16, 1], [-16, -1, 3, 9, 2, 1], [15, 4, 10, 3, -4, 3], [-1, 12, -14, -1, 4, -5], [9, -9, -24, -12, 3, -18], [12, 9, 0, 3, -9, 3], [-9, -11, -9, 6, 4, -14], [-8, 6, -6, -10, 4, 8], [-2, -2, 13, -4, 2, 18], [15, -17, -3, -4, 4, -12], [-11, 2, 5, 7, 5, 9], [4, -4, -14, -4, 4, -16], [-13, -4, -3, -11, -4, -11], [23, -3, 18, 2, 4, 8], [2, -9, -20, -3, 12, 2], [-2, 0, 4, -8, 1, 6], [3, 6, 1, -1, -6, 18], [5, 1, -18, -4, 4, -6], [1, -3, -5, -12, 1, 2], [-4, 0, 10, 5, 5, -9], [-3, 5, 3, -8, -13, -12], [6, 1, -9, -3, 11, -2], [-6, 6, 6, 0, 14, 8], [-9, 13, 23, 10, -11, 18], [-9, -6, 9, -5, -12, -5], [5, -9, -13, -6, 5, 0], [9, -8, -26, -5, 12, -8], [-4, 9, 3, 13, 6, 3], [-21, 5, 6, -4, -9, -1], [-7, -10, -10, -7, -4, -17], [-7, 13, 19, 8, -2, 9], [-4, 1, -3, -1, -2, -25], [-9, 7, -1, 12, 4, 5], [-9, 5, -9, 10, 15, -4], [9, 9, 13, 0, 3, 10], [0, -17, -11, -15, 12, -15], [10, -12, 2, 0, 9, 8], [-10, -8, -6, -4, 5, -22], [-13, -6, 11, 3, -4, -16], [-10, -4, -2, 6, 7, -12], [-4, -18, 8, 1, 3, 7], [8, 0, -8, 8, -11, -6], [-2, 9, 14, -1, 0, 26], [-10, 7, 21, 1, -11, 19], [-25, -3, 3, 8, -9, 10], [1, 10, 10, 11, -13, 5], [5, 3, 19, -4, -1, -6], [12, 5, -11, 3, 13, -5], [-5, 0, -28, -3, 4, -5], [-8, -3, -17, -7, -4, -9], [9, 1, -3, 5, 13, -3], [-11, -9, 6, -2, 0, 1]], 'char_orbit_index': 1, 'field_poly': [-1, 12, 18, -4, -9, 0, 1], 'hecke_orbit_code': 67553994444112739, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [3, 1, 0, 1, 0, 0], [2, 5, 2, 1, 0, 0], [16, 8, 2, 7, 2, 0], [21, 31, 18, 12, 2, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, -4, -1, 1, 0, 0], [-3, -1, 1, 0, 0, 0], [4, 3, -6, -1, 1, 0], [2, 14, 3, -8, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '867.2.a.p', 'level': 867, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [17, -1]], 7, 2], [[[3, 1], [17, -1]], 12, 3], [[[3, -1], [17, 1]], 16, 6], [[[3, 1], [17, 1]], 10, 5]], 'ALdims': [10, 12, 16, 7], 'Nk2': 3468, 'analytic_conductor': 6.92302985524501, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [867, 1, [290, 292], [1, 1]], 'conrey_index': 1, 'cusp_dim': 85, 'dim': 45, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33555299, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 6, 6], 'label': '867.2.a', 'level': 867, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 17], 'level_radical': 51, 'mf_dim': 120, 'mf_new_dim': 45, 'num_forms': 16, 'plus_dim': 17, 'prim_orbit_index': 1, 'relative_dim': 45, 'sturm_bound': 204, 'trace_bound': 3, 'trace_display': [1, 1, -6, 4], 'traces': [45, 1, 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-124, 0, -10, -284, 12, -206, -32, 24, 70, 284, -36, -34, -50, -24, 264, 58, -16, -108, 0, -14, -62, 0, 10, 144, -78, -26, -108, -284, 12, -12, -60, 276, -12, -232, -66, 0, -122, 22, -44, -200, -16, 108, -24, -70, -19, -28, -12, 10, 236, 0, 116, 269, 0, -212, -76, 7, -6, 56, -14, -98, -102, -32, 20, 166, 2, -248, -24, -54, -140, 0, -68, 132, 24, -24, 16, 8, -28, -208, -148, -20, -42, 52, -2, 76], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 543394
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '867.2.a.p', 'source_level': 867, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '867.2.a.o', 'target_level': 867, 'twist_class_label': '867.2.a.o', 'twist_class_level': 867, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 543395
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '867.2.a.p', 'source_level': 867, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '867.2.a.p', 'target_level': 867, 'twist_class_label': '867.2.a.o', 'twist_class_level': 867, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 543396
{'conductor': 17, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '867.2.a.p', 'source_level': 867, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '867.2.d.g', 'target_level': 867, 'twist_class_label': '867.2.a.o', 'twist_class_level': 867, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 543397
{'conductor': 17, 'degree': 4, 'multiplicity': 4, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '867.2.a.p', 'source_level': 867, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '867.2.e.k', 'target_level': 867, 'twist_class_label': '867.2.a.o', 'twist_class_level': 867, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 543398
{'conductor': 17, 'degree': 8, 'multiplicity': 8, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '867.2.a.p', 'source_level': 867, 'target_char_orbit': 8, 'target_dim': 48, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '867.2.h.m', 'target_level': 867, 'twist_class_label': '867.2.a.o', 'twist_class_level': 867, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 543399
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '867.2.a.p', 'source_level': 867, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '2601.2.a.bh', 'target_level': 2601, 'twist_class_label': '867.2.a.o', 'twist_class_level': 867, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 543400
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '867.2.a.p', 'source_level': 867, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2601.2.a.bi', 'target_level': 2601, 'twist_class_label': '867.2.a.o', 'twist_class_level': 867, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1426825
{'charpoly_factorization': [[[8, -24, 6, 19, -6, -3, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 2}
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id: 1426826
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 67553994444112739, 'p': 3}
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id: 1426827
{'charpoly_factorization': [[[136, 228, 60, -51, -18, 3, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 5}
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id: 1426828
{'charpoly_factorization': [[[-477, -297, 171, 75, -27, -3, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 7}
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id: 1426829
{'charpoly_factorization': [[[296, 432, -282, -199, -6, 9, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 11}
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id: 1426830
{'charpoly_factorization': [[[-109, 321, -315, 103, 9, -9, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 13}
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id: 1426831
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 67553994444112739, 'p': 17}
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id: 1426832
{'charpoly_factorization': [[[333, -783, -171, 207, -9, -9, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 19}
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id: 1426833
{'charpoly_factorization': [[[1576, 2340, -570, -477, -36, 9, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 23}
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id: 1426834
{'charpoly_factorization': [[[136, 132, -36, -57, -3, 6, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 29}
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id: 1426835
{'charpoly_factorization': [[[-127, 198, 381, -506, 186, -24, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 31}
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id: 1426836
{'charpoly_factorization': [[[-109, 153, 237, -281, -75, 3, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 37}
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id: 1426837
{'charpoly_factorization': [[[-1592, -4680, -2910, -423, 63, 18, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 41}
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id: 1426838
{'charpoly_factorization': [[[-11736, -5292, 2340, 297, -117, 0, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 43}
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id: 1426839
{'charpoly_factorization': [[[20312, 4212, -3348, -31, 171, -24, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 47}
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id: 1426840
{'charpoly_factorization': [[[-5608, 7896, -2898, -95, 171, -24, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 53}
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id: 1426841
{'charpoly_factorization': [[[1432, 4356, 732, -441, -60, 9, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 59}
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id: 1426842
{'charpoly_factorization': [[[31841, -10773, -3159, 985, 45, -21, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 61}
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id: 1426843
{'charpoly_factorization': [[[-14552, 4860, 3882, -191, -153, 6, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 67}
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id: 1426844
{'charpoly_factorization': [[[-8704, -9408, -2448, 301, 207, 27, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 71}
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id: 1426845
{'charpoly_factorization': [[[92429, -33639, -4524, 1789, -30, -18, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 73}
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id: 1426846
{'charpoly_factorization': [[[31419, -25272, 27, 1968, 9, -24, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 79}
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id: 1426847
{'charpoly_factorization': [[[-205336, -45960, 10962, 1579, -243, -6, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 83}
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id: 1426848
{'charpoly_factorization': [[[-39896, 1440, 15750, 585, -327, 0, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 89}
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id: 1426849
{'charpoly_factorization': [[[-17389, -27306, -7488, 409, 324, 33, 1], 1]], 'hecke_orbit_code': 67553994444112739, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '867.2.a.p', 'level': 867, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 233934000
{'hecke_orbit_code': 67553994444112739, 'n': 1, 'trace_an': 6}
-
id: 233934001
{'hecke_orbit_code': 67553994444112739, 'n': 2, 'trace_an': 3}
-
id: 233934002
{'hecke_orbit_code': 67553994444112739, 'n': 3, 'trace_an': 6}
-
id: 233934003
{'hecke_orbit_code': 67553994444112739, 'n': 4, 'trace_an': 9}
-
id: 233934004
{'hecke_orbit_code': 67553994444112739, 'n': 5, 'trace_an': -3}
-
id: 233934005
{'hecke_orbit_code': 67553994444112739, 'n': 6, 'trace_an': 3}
-
id: 233934006
{'hecke_orbit_code': 67553994444112739, 'n': 7, 'trace_an': 3}
-
id: 233934007
{'hecke_orbit_code': 67553994444112739, 'n': 8, 'trace_an': 12}
-
id: 233934008
{'hecke_orbit_code': 67553994444112739, 'n': 9, 'trace_an': 6}
-
id: 233934009
{'hecke_orbit_code': 67553994444112739, 'n': 10, 'trace_an': 12}
-
id: 233934010
{'hecke_orbit_code': 67553994444112739, 'n': 11, 'trace_an': -9}
-
id: 233934011
{'hecke_orbit_code': 67553994444112739, 'n': 12, 'trace_an': 9}
-
id: 233934012
{'hecke_orbit_code': 67553994444112739, 'n': 13, 'trace_an': 9}
-
id: 233934013
{'hecke_orbit_code': 67553994444112739, 'n': 14, 'trace_an': -6}
-
id: 233934014
{'hecke_orbit_code': 67553994444112739, 'n': 15, 'trace_an': -3}
-
id: 233934015
{'hecke_orbit_code': 67553994444112739, 'n': 16, 'trace_an': 15}
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id: 233934016
{'hecke_orbit_code': 67553994444112739, 'n': 17, 'trace_an': 0}
-
id: 233934017
{'hecke_orbit_code': 67553994444112739, 'n': 18, 'trace_an': 3}
-
id: 233934018
{'hecke_orbit_code': 67553994444112739, 'n': 19, 'trace_an': 9}
-
id: 233934019
{'hecke_orbit_code': 67553994444112739, 'n': 20, 'trace_an': 6}
-
id: 233934020
{'hecke_orbit_code': 67553994444112739, 'n': 21, 'trace_an': 3}
-
id: 233934021
{'hecke_orbit_code': 67553994444112739, 'n': 22, 'trace_an': -18}
-
id: 233934022
{'hecke_orbit_code': 67553994444112739, 'n': 23, 'trace_an': -9}
-
id: 233934023
{'hecke_orbit_code': 67553994444112739, 'n': 24, 'trace_an': 12}
-
id: 233934024
{'hecke_orbit_code': 67553994444112739, 'n': 25, 'trace_an': 15}
-
id: 233934025
{'hecke_orbit_code': 67553994444112739, 'n': 26, 'trace_an': -12}
-
id: 233934026
{'hecke_orbit_code': 67553994444112739, 'n': 27, 'trace_an': 6}
-
id: 233934027
{'hecke_orbit_code': 67553994444112739, 'n': 28, 'trace_an': -15}
-
id: 233934028
{'hecke_orbit_code': 67553994444112739, 'n': 29, 'trace_an': -6}
-
id: 233934029
{'hecke_orbit_code': 67553994444112739, 'n': 30, 'trace_an': 12}
-
id: 233934030
{'hecke_orbit_code': 67553994444112739, 'n': 31, 'trace_an': 24}
-
id: 233934031
{'hecke_orbit_code': 67553994444112739, 'n': 32, 'trace_an': 42}
-
id: 233934032
{'hecke_orbit_code': 67553994444112739, 'n': 33, 'trace_an': -9}
-
id: 233934033
{'hecke_orbit_code': 67553994444112739, 'n': 34, 'trace_an': 0}
-
id: 233934034
{'hecke_orbit_code': 67553994444112739, 'n': 35, 'trace_an': 0}
-
id: 233934035
{'hecke_orbit_code': 67553994444112739, 'n': 36, 'trace_an': 9}
-
id: 233934036
{'hecke_orbit_code': 67553994444112739, 'n': 37, 'trace_an': -3}
-
id: 233934037
{'hecke_orbit_code': 67553994444112739, 'n': 38, 'trace_an': -6}
-
id: 233934038
{'hecke_orbit_code': 67553994444112739, 'n': 39, 'trace_an': 9}
-
id: 233934039
{'hecke_orbit_code': 67553994444112739, 'n': 40, 'trace_an': -3}
-
id: 233934040
{'hecke_orbit_code': 67553994444112739, 'n': 41, 'trace_an': -18}
-
id: 233934041
{'hecke_orbit_code': 67553994444112739, 'n': 42, 'trace_an': -6}
-
id: 233934042
{'hecke_orbit_code': 67553994444112739, 'n': 43, 'trace_an': 0}
-
id: 233934043
{'hecke_orbit_code': 67553994444112739, 'n': 44, 'trace_an': -3}
-
id: 233934044
{'hecke_orbit_code': 67553994444112739, 'n': 45, 'trace_an': -3}
-
id: 233934045
{'hecke_orbit_code': 67553994444112739, 'n': 46, 'trace_an': 15}
-
id: 233934046
{'hecke_orbit_code': 67553994444112739, 'n': 47, 'trace_an': 24}
-
id: 233934047
{'hecke_orbit_code': 67553994444112739, 'n': 48, 'trace_an': 15}
-
id: 233934048
{'hecke_orbit_code': 67553994444112739, 'n': 49, 'trace_an': 21}
-
id: 233934049
{'hecke_orbit_code': 67553994444112739, 'n': 50, 'trace_an': 12}
-
id: 233934050
{'hecke_orbit_code': 67553994444112739, 'n': 51, 'trace_an': 0}
-
id: 233934051
{'hecke_orbit_code': 67553994444112739, 'n': 52, 'trace_an': -18}
-
id: 233934052
{'hecke_orbit_code': 67553994444112739, 'n': 53, 'trace_an': 24}
-
id: 233934053
{'hecke_orbit_code': 67553994444112739, 'n': 54, 'trace_an': 3}
-
id: 233934054
{'hecke_orbit_code': 67553994444112739, 'n': 55, 'trace_an': -24}
-
id: 233934055
{'hecke_orbit_code': 67553994444112739, 'n': 56, 'trace_an': -54}
-
id: 233934056
{'hecke_orbit_code': 67553994444112739, 'n': 57, 'trace_an': 9}
-
id: 233934057
{'hecke_orbit_code': 67553994444112739, 'n': 58, 'trace_an': 3}
-
id: 233934058
{'hecke_orbit_code': 67553994444112739, 'n': 59, 'trace_an': -9}
-
id: 233934059
{'hecke_orbit_code': 67553994444112739, 'n': 60, 'trace_an': 6}
-
id: 233934060
{'hecke_orbit_code': 67553994444112739, 'n': 61, 'trace_an': 21}
-
id: 233934061
{'hecke_orbit_code': 67553994444112739, 'n': 62, 'trace_an': -30}
-
id: 233934062
{'hecke_orbit_code': 67553994444112739, 'n': 63, 'trace_an': 3}
-
id: 233934063
{'hecke_orbit_code': 67553994444112739, 'n': 64, 'trace_an': 24}
-
id: 233934064
{'hecke_orbit_code': 67553994444112739, 'n': 65, 'trace_an': 9}
-
id: 233934065
{'hecke_orbit_code': 67553994444112739, 'n': 66, 'trace_an': -18}
-
id: 233934066
{'hecke_orbit_code': 67553994444112739, 'n': 67, 'trace_an': -6}
-
id: 233934067
{'hecke_orbit_code': 67553994444112739, 'n': 68, 'trace_an': 0}
-
id: 233934068
{'hecke_orbit_code': 67553994444112739, 'n': 69, 'trace_an': -9}
-
id: 233934069
{'hecke_orbit_code': 67553994444112739, 'n': 70, 'trace_an': -3}
-
id: 233934070
{'hecke_orbit_code': 67553994444112739, 'n': 71, 'trace_an': -27}
-
id: 233934071
{'hecke_orbit_code': 67553994444112739, 'n': 72, 'trace_an': 12}
-
id: 233934072
{'hecke_orbit_code': 67553994444112739, 'n': 73, 'trace_an': 18}
-
id: 233934073
{'hecke_orbit_code': 67553994444112739, 'n': 74, 'trace_an': -36}
-
id: 233934074
{'hecke_orbit_code': 67553994444112739, 'n': 75, 'trace_an': 15}
-
id: 233934075
{'hecke_orbit_code': 67553994444112739, 'n': 76, 'trace_an': -3}
-
id: 233934076
{'hecke_orbit_code': 67553994444112739, 'n': 77, 'trace_an': 33}
-
id: 233934077
{'hecke_orbit_code': 67553994444112739, 'n': 78, 'trace_an': -12}
-
id: 233934078
{'hecke_orbit_code': 67553994444112739, 'n': 79, 'trace_an': 24}
-
id: 233934079
{'hecke_orbit_code': 67553994444112739, 'n': 80, 'trace_an': -3}
-
id: 233934080
{'hecke_orbit_code': 67553994444112739, 'n': 81, 'trace_an': 6}
-
id: 233934081
{'hecke_orbit_code': 67553994444112739, 'n': 82, 'trace_an': -15}
-
id: 233934082
{'hecke_orbit_code': 67553994444112739, 'n': 83, 'trace_an': 6}
-
id: 233934083
{'hecke_orbit_code': 67553994444112739, 'n': 84, 'trace_an': -15}
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