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{'Nk2': 20100, 'analytic_conductor': 40.12482701569339, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [67, 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': [5025, 1, [1676, 202, 3151], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 7, 'field_disc': 2414688089, 'field_disc_factorization': [[11, 1], [199, 1], [1103101, 1]], 'field_poly': [4, -6, -15, 14, 15, -6, -3, 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, [4, 25, 33, -11, -25, -3, 4, 1]], [7, [128, -272, 82, 115, -38, -18, 3, 1]], [11, [-32, -488, -222, 181, 70, -22, -5, 1]], [17, [4, -2, -147, -246, -77, 22, 11, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972562849, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': False, 'label': '5025.2.a.bb', 'level': 5025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 67], 'level_radical': 1005, 'minimal_twist': '1005.2.a.i', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}-q^{3}+(2-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5025.2.a', 'trace_display': [-4, -7, 0, -3], 'trace_hash': 393227578419226154, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.085', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '100.691', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2621.635', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [7, -4, -7, 8, 0, 4, -3, -9, 7, 0, 5, -8, 1, -4, 0, 6, -11, -4, 8, 0, 3, 3, -11, 9, 0, -5, -7, 17, 0, 0, -3, -22, -5, 4, 0, 8, 5, 0, -1, 0, 1, 4, 3, -9, 0, -12, -10, -6, -4, 0, 11, 6, -3, 4, 0, -12, -8, 24, -4, 0, -9, -20, -3, -3, 0, -3, -7, 3, 11, 0, 6, -9, 9, 2, 0, 2, -17, 5, -11, 0, 7, 16, -30, -17, 0, -11, 0, 25, 13, 0, -5, -10, 3, -25, 0, 22, 7, 10, 5, 0, -6, -4, 7, -41, 0, -24, -53, -8, -22, 0, -5, 35, -5, 0, 0, -23, 1, 23, -14, 0, -8, 0, -1, -30, 0, -4, -7, 15, -3, 0, 38, 9, 18, 4, 0, 24, -17, 12, -7, 0, 10, -29, -16, 6, 0, 14, 4, 44, -10, 0, -13, -43, -11, -20, 0, -6, -4, 43, 3, 0, -9, -4, -9, -14, 0, 27, -24, 12, -56, 0, 8, -24, -4, 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mf_hecke_nf • Show schema
Hide schema
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7], [13, -3, -4, -2, 8, 5, 5], [11, -5, 7, 12, -7, -9, -5], [-23, 4, 2, 0, 5, -12, -3], [14, 6, -13, -1, 3, -4, 1], [-5, -2, -10, 8, -8, 1, -12], [-31, 7, 7, 4, -7, -5, -9], [10, -13, -7, -9, 8, -3, 9], [15, -1, 7, -15, 7, -5, -6], [8, -6, 12, 9, 4, 2, -5], [-7, 5, 6, -9, 10, -5, -5], [-3, -17, -12, 7, 1, -4, -1], [11, -4, 14, -10, 2, 9, -3], [-3, -13, 15, 0, -3, 3, -6], [-4, 5, -12, -1, 5, -5, 9], [12, -16, 21, 6, -10, 5, -1], [-21, -4, 5, 15, -14, 4, -10], [-41, -7, -6, -1, 6, -5, 1], [11, -3, -2, -12, 8, 17, 12], [16, -10, 9, -6, -5, -8, -11], [12, -7, -5, 11, 0, -13, -5], [-12, 16, -10, 2, -12, 2, -7], [-16, -11, -18, 16, 3, -15, 0], [1, 16, -8, 4, -6, 3, 5], [-34, 10, -10, -3, 10, 4, 7], [0, 23, -18, 7, 7, -13, 2], [17, -22, -5, 3, -3, -1, 0], [4, -5, -3, 3, -2, 5, 11], [6, -11, 2, 7, -11, 1, -11], [-7, -5, -4, 16, 1, -8, 2], [2, 6, 7, 7, 7, -10, 6], [8, -5, 20, -6, -2, 10, -3], [36, -2, 10, -5, -5, 3, -8], [-24, -11, 13, -3, -7, 6, -5], [-8, -3, -3, -12, 4, -1, 15], [4, 25, -19, -4, 8, -15, 6], [-11, -8, 9, 2, -3, -1, -2], [7, -7, 13, 0, 4, -2, -2], [19, 10, -2, 16, 0, 5, -4], [-5, 7, 8, -12, 7, -4, -2], [28, -28, -13, 9, 5, -2, 7], [-29, 22, 3, -4, -1, -13, -15], [-2, 15, -25, -13, 6, -23, 3], [9, -8, 9, -5, -7, -3, 1], [21, -12, -7, 3, -12, 6, 0], [18, 17, -12, -4, 10, -12, 7], [-11, 21, -17, -10, 2, 0, 4], [31, -2, 6, -9, -4, 13, 1], [11, -9, -4, -1, 6, -1, 0], [-22, -2, -5, 10, 2, 5, 12], [8, -18, 24, 3, -4, 12, 3], [-11, -11, 4, -11, 9, 10, 3], [19, -5, 1, 15, 1, -7, -6], [0, 22, -1, -7, 1, -4, 3], [-6, 10, -14, -15, 8, -16, -5], [25, -9, -1, 0, 2, -4, -6], [-32, 12, 6, -1, -1, 3, 5], [0, 5, -2, 2, -11, -3, -11], [-23, 8, -16, 0, 13, 0, 9], [-4, 15, 6, -3, -7, -5, -11], [11, -2, -12, -5, 0, -11, 5], [-9, -6, -9, -11, 16, 2, 8], [7, 16, 4, 3, -4, -5, -10], [-11, 6, -9, -2, 4, -10, -9], [23, -15, 21, 12, -16, -4, -10], [-6, 3, 12, -2, 3, 5, 6], [-28, 7, -15, -9, 2, -1, 18], [18, -6, 20, -1, -4, 22, -1], [-7, 19, -11, -11, 2, 2, 5], [-17, -25, 13, -13, 4, 16, 2], [-4, -26, 0, 10, -4, 0, -4], [37, -12, 12, 12, -3, 2, -11], [-23, 2, 9, 14, -14, 4, -7], [-3, -17, 9, -1, -3, 23, 1], [-7, -5, 0, 26, -4, 3, -5], [-9, 31, -22, -10, 12, 1, 7], [-37, 14, -23, -1, 8, -4, 9], [15, 1, 11, -16, 8, 4, 4], [-27, -9, 2, 3, -6, 3, 6], [28, -10, 8, 1, 6, 6, -5], [-23, 11, -7, -15, -1, 7, 0], [-10, -5, 9, -2, -15, 6, -8], [37, 13, -11, 21, -7, -17, -2], [3, 4, 10, -12, 11, 0, -1], [13, -6, -3, -4, 2, 4, 3], [3, 16, 20, -9, 1, -6, 2], [-12, 27, -12, 7, -11, -5, 3], [12, -10, -1, 3, 0, 25, 8], [-34, 6, -12, 4, 14, -24, 1], [-58, -4, -4, -5, 1, -1, 10], [-5, 13, -8, -8, 6, -13, -18], [29, 1, 22, 12, -12, 9, -16], [22, -16, 12, -4, -9, -13, -13], [-36, -3, -5, -2, 10, 7, 14], [-1, 4, -6, 9, 3, -12, 10], [5, 11, -7, 2, -1, -5, -1], [11, 8, 21, 18, -5, -15, -12], [8, -9, 24, 0, -19, 9, -4], [-24, 11, -1, -18, -2, 5, 1], [19, 4, 8, -18, 5, 12, 0], [1, 11, -5, 12, -4, -12, 3], [22, 1, 17, 2, -8, -13, -8], [12, -6, 12, 9, 0, 8, 7], [19, -12, -2, 19, 1, -12, 4], [1, -4, 11, -7, 15, 5, -5], [39, -3, -4, -6, 6, -1, -1], [-23, -14, -3, -9, -4, 2, 12], [2, -9, 21, -6, 12, -1, 6], [-40, 7, 1, -2, -12, 3, -2], [1, 2, 5, -1, -2, 18, 1], [27, -2, 1, 0, -10, -6, -13], [0, 4, 9, 7, 9, -6, -4], [5, -16, 3, 3, 5, -5, -7], [-13, 17, 7, 7, 1, 3, -4], [4, -11, 16, -3, -15, 17, -5], [-7, 8, -5, -14, 9, -15, 2], [36, -13, 17, 7, -6, 3, 5], [2, -25, 9, 0, -10, 1, -1], [-23, -7, -8, -8, 0, -7, 7], [-44, 15, -1, 5, 14, 11, 9], [-8, 11, -23, -16, 5, -6, -1], [11, -24, 2, 5, -3, -6, -4], [17, 9, 10, -7, 1, 6, 15], [12, -4, -5, -14, -7, -10, 1], [10, 13, 2, -11, 7, -7, -11], [10, 24, -8, -2, 4, 12, 4], [11, -3, 8, -11, 12, 3, -1], [-12, 5, 2, -6, -9, 3, -8], [-6, -1, -8, -14, 15, -7, 14], [-9, -7, 2, 13, -18, -1, -10], [-10, -6, 19, -1, -13, 8, -4], [18, -7, 15, -5, -4, 13, 14], [-23, 0, 10, -13, -2, 13, -3], [18, -7, -5, 8, -3, 16, 5], [-35, 19, 3, -12, -3, 3, 1], [-18, -24, 7, -4, -2, 13, 7], [-33, 26, -9, -4, 5, -1, 7], [41, -2, 14, 8, -4, -1, 4], [2, -10, 13, 15, 2, 7, -2], [8, -37, 10, 8, -15, 11, -5], [-22, 17, -26, -18, 4, -2, 1], [-41, 26, 8, -3, -8, -11, -6], [-5, 19, -15, -6, -6, -18, -8], [34, -28, -8, -2, -7, 11, 0], [-10, 16, 9, -6, -4, -13, -15], [12, -27, 19, -6, 2, 23, 2], [15, -17, 10, 1, 3, 2, 1], [51, -13, 7, 1, -9, 5, 0], [6, -17, 10, -3, -7, 1, 1], [44, -32, 26, 11, -6, 16, -6], [-5, -5, -4, -10, 5, -4, -13], [-19, 21, -16, 6, 19, -6, 8], [22, -21, -12, 10, 2, -2, 1], [14, 13, 4, 10, -5, 7, -6], [-26, -7, 7, 2, 8, 1, -2]], 'char_orbit_index': 1, 'field_poly': [4, -6, -15, 14, 15, -6, -3, 1], 'hecke_orbit_code': 121597189972562849, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [3, 1, 1, 0, 0, 0, 0], [4, 5, 2, 1, 0, 0, 0], [18, 10, 8, 2, 1, 1, 1], [42, 34, 21, 10, 4, 3, 3], [139, 86, 69, 28, 17, 15, 14]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [-3, -1, 1, 0, 0, 0, 0], [2, -3, -2, 1, 0, 0, 0], [-5, 5, 11, -4, -3, 1, 0], [-1, -4, 10, 12, -5, -3, 1], [8, 3, -25, -10, 9, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 7, 'label': '5025.2.a.bb', 'level': 5025, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1], [67, 1]], 23, 3], [[[3, -1], [5, -1], [67, -1]], 33, 5], [[[3, 1], [5, -1], [67, 1]], 29, 5], [[[3, 1], [5, 1], [67, 1]], 26, 6], [[[3, -1], [5, 1], [67, 1]], 29, 5], [[[3, 1], [5, 1], [67, -1]], 23, 5], [[[3, 1], [5, -1], [67, -1]], 27, 3], [[[3, -1], [5, 1], [67, -1]], 20, 7]], 'ALdims': [26, 23, 29, 27, 29, 20, 23, 33], 'Nk2': 20100, 'analytic_conductor': 40.12482701569339, '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': [5025, 1, [1676, 202, 3151], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 669, 'dim': 210, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 17], 'hecke_orbit_code': 33559457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 8, 8, 8, 10, 10, 10, 10, 14, 14, 17, 17], 'label': '5025.2.a', 'level': 5025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 67], 'level_radical': 1005, 'mf_dim': 692, 'mf_new_dim': 210, 'num_forms': 39, 'plus_dim': 96, 'prim_orbit_index': 1, 'relative_dim': 210, 'sturm_bound': 1360, 'trace_bound': 11, 'trace_display': [2, 0, 0, 8], 'traces': [210, 2, 0, 216, 0, 6, 8, 6, 210, 0, 12, 8, 8, 24, 0, 252, 18, 2, 22, 0, 4, 16, 14, 18, 0, -32, 0, 8, -18, 0, 0, -26, 4, -32, 0, 216, -2, -28, 8, 0, -4, 16, 20, 64, 0, 0, -10, 0, 250, 0, 4, 48, 32, 6, 0, 60, 8, -8, 50, 0, -12, -20, 8, 324, 0, 16, -4, 24, 8, 0, 0, 6, 34, -40, 0, 20, 4, -20, 16, 0, 210, -64, -24, 12, 0, -44, 12, -32, -30, 0, 48, 76, 28, -16, 0, -18, 0, -6, 12, 0, -76, -12, -16, -40, 0, 8, -30, 8, -48, 0, 0, 88, 24, -52, 0, -12, 8, 8, -48, 0, 210, 104, 12, -56, 0, 24, -26, 6, 20, 0, -124, -20, 24, 0, 0, -148, -32, -16, -68, 0, 0, 92, -32, 252, 0, 0, -16, 4, -142, 0, -34, -32, 18, 8, 0, 32, 50, -136, -36, 0, -8, 2, -10, -116, 0, -180, -28, 40, 262, 0, 22, 40, -54, -12, 0, 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-284, -1176, -458, 0, 176, 344, 28, 280, 0, -144, 192, 600, -112, 0, -752, -8, -34, -120, 0, 1460, 120, -188, -284, 0, -104, 232, 160, -32, 0, 1768, -2, 144, 680, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1237729
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '5025.2.a.bb', 'source_level': 5025, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1005.2.a.i', 'target_level': 1005, 'twist_class_label': '1005.2.a.i', 'twist_class_level': 1005, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1237730
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '5025.2.a.bb', 'source_level': 5025, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3015.2.a.l', 'target_level': 3015, 'twist_class_label': '1005.2.a.i', 'twist_class_level': 1005, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1237731
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '5025.2.a.bb', 'source_level': 5025, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '5025.2.a.bb', 'target_level': 5025, 'twist_class_label': '1005.2.a.i', 'twist_class_level': 1005, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3775350
{'charpoly_factorization': [[[4, 25, 33, -11, -25, -3, 4, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 2}
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id: 3775351
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 121597189972562849, 'p': 3}
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id: 3775352
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 121597189972562849, 'p': 5}
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id: 3775353
{'charpoly_factorization': [[[128, -272, 82, 115, -38, -18, 3, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 7}
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id: 3775354
{'charpoly_factorization': [[[-32, -488, -222, 181, 70, -22, -5, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 11}
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id: 3775355
{'charpoly_factorization': [[[-8, -40, -24, 77, 11, -17, -1, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 13}
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id: 3775356
{'charpoly_factorization': [[[4, -2, -147, -246, -77, 22, 11, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 17}
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id: 3775357
{'charpoly_factorization': [[[17648, -1736, -5093, 534, 384, -44, -8, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 19}
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id: 3775358
{'charpoly_factorization': [[[-256, -208, 607, -91, -138, 10, 11, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 23}
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id: 3775359
{'charpoly_factorization': [[[-28, 1516, -1915, 600, 82, -50, 0, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 29}
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id: 3775360
{'charpoly_factorization': [[[112, -412, 190, 337, -134, -96, 3, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 31}
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id: 3775361
{'charpoly_factorization': [[[652, -1704, -1969, 1549, 186, -86, -5, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 37}
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id: 3775362
{'charpoly_factorization': [[[56, 164, -1190, 707, 60, -68, -1, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 41}
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id: 3775363
{'charpoly_factorization': [[[386848, -240152, -42298, 14783, 682, -224, -3, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 43}
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id: 3775364
{'charpoly_factorization': [[[5648, 5012, -863, -1982, -586, -26, 10, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 47}
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id: 3775365
{'charpoly_factorization': [[[-6176, -150084, 66912, 16947, -949, -255, 3, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 53}
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id: 3775366
{'charpoly_factorization': [[[-85076, -27982, 17703, 5690, -518, -178, 4, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 59}
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id: 3775367
{'charpoly_factorization': [[[-494672, 61972, 101588, 10213, -1861, -219, 9, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 61}
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id: 3775368
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 121597189972562849, 'p': 67}
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id: 3775369
{'charpoly_factorization': [[[23728, 3492, -19986, 3743, 689, -124, -6, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 71}
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id: 3775370
{'charpoly_factorization': [[[-574076, 403444, -75447, -5326, 2893, -204, -9, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 73}
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id: 3775371
{'charpoly_factorization': [[[-7027024, -871012, 250206, 27535, -2908, -288, 11, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 79}
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id: 3775372
{'charpoly_factorization': [[[87104, 413344, -108528, -55083, -5137, 88, 30, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 83}
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id: 3775373
{'charpoly_factorization': [[[812644, -118112, -74013, 9286, 1789, -180, -13, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 89}
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id: 3775374
{'charpoly_factorization': [[[220744, -10128, -29328, 2665, 1059, -129, -7, 1], 1]], 'hecke_orbit_code': 121597189972562849, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '5025.2.a.bb', 'level': 5025, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 261946000
{'hecke_orbit_code': 121597189972562849, 'n': 1, 'trace_an': 7}
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id: 261946001
{'hecke_orbit_code': 121597189972562849, 'n': 2, 'trace_an': -4}
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id: 261946002
{'hecke_orbit_code': 121597189972562849, 'n': 3, 'trace_an': -7}
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id: 261946003
{'hecke_orbit_code': 121597189972562849, 'n': 4, 'trace_an': 8}
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id: 261946004
{'hecke_orbit_code': 121597189972562849, 'n': 5, 'trace_an': 0}
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id: 261946005
{'hecke_orbit_code': 121597189972562849, 'n': 6, 'trace_an': 4}
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id: 261946006
{'hecke_orbit_code': 121597189972562849, 'n': 7, 'trace_an': -3}
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id: 261946007
{'hecke_orbit_code': 121597189972562849, 'n': 8, 'trace_an': -9}
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id: 261946008
{'hecke_orbit_code': 121597189972562849, 'n': 9, 'trace_an': 7}
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