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- 2025-07-19T11:41:57.010522+00:00
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{'Nk2': 9300, 'analytic_conductor': 18.565218469947688, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [31, -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': [2325, 1, [776, 652, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -1, 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, [-1, -3, 1, 1]], [7, [-2, -2, 2, 1]], [11, [-2, 1]], [13, [-2, -22, -2, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071484693, 'hecke_ring_generator_nbound': 2, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2325.2.a.q', 'level': 2325, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 31], 'level_radical': 465, 'minimal_twist': '465.2.a.f', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(\\beta _{1}+\\beta _{2})q^{4}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2325.2.a', 'trace_display': [-1, -3, 0, -2], 'trace_hash': 774287441471266585, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.891', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.059', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.671', 'prec': 17}, {'__RealLiteral__': 0, 'data': '279.565', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [3, -1, -3, 1, 0, 1, -2, -3, 3, 0, 6, -1, 2, -6, 0, -3, 0, -1, 0, 0, 2, -2, -2, 3, 0, 10, -3, 4, 8, 0, 3, 3, -6, -18, 0, 1, 0, 0, -2, 0, 8, 6, 10, 2, 0, -4, 6, 3, -13, 0, 0, 8, 0, 1, 0, 4, 0, -10, 14, 0, -2, -1, -2, -11, 0, 2, 16, 20, 2, 0, 20, -3, 0, -28, 0, 0, -4, -10, 8, 0, 3, 24, -2, -4, 0, 14, -8, -6, -6, 0, -12, 10, -3, -16, 0, -3, 36, 13, 6, 0, 12, 18, 4, -20, 0, 22, 2, -1, -22, 0, 0, 6, 14, 0, 0, 30, 2, -8, 18, 0, -21, 18, -8, 1, 0, -6, 8, 33, -10, 0, 6, -2, 0, 28, 0, -2, 0, 4, 4, 0, -6, 18, 4, -3, 0, 12, 13, -10, -4, 0, 28, 0, 0, -12, 0, -8, 24, 14, 0, 0, 6, -1, -8, -16, 0, 24, 20, -4, 9, 0, 0, 6, -10, 10, 0, -6, -14, -12, 36, 0, -18, -22, 2, -4, 0, 1, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, -1, 0], [-1, 0, 0], [0, 1, 1], [0, 0, 0], [0, 1, 0], [-1, 1, 0], [-1, 0, -1], [1, 0, 0], [0, 0, 0], [2, 0, 0], [0, -1, -1], [1, -1, 2], [-2, 0, -1], [0, 0, 0], [-1, 0, -2], [-1, 3, 1], [0, -1, 0], [0, 0, 0], [0, 0, 0], [1, -1, 0], [0, -2, 0], [-1, 1, 1], [1, 0, 1], [0, 0, 0], [4, -2, 1], [-1, 0, 0], [1, 1, 0], [2, 2, 3], [0, 0, 0], [1, 0, 0], [0, 3, 2], [-2, 0, 0], [-5, -3, -3], [0, 0, 0], [0, 1, 1], [-1, 3, -4], [0, 0, 0], [-1, 1, -2], [0, 0, 0], [4, -4, 0], [2, 0, 1], [4, -2, 2], [0, 2, 2], [0, 0, 0], [-1, -1, -1], [1, 3, 3], [1, 0, 2], [-4, -1, 1], [0, 0, 0], [1, -3, -1], [3, -1, -2], [1, -3, 1], [0, 1, 0], [0, 0, 0], [2, -2, 1], [0, 0, 0], [-1, -7, -2], [4, 2, 5], [0, 0, 0], [0, -2, 2], [0, -1, 0], [-1, 1, 0], [-2, -5, 1], [0, 0, 0], [0, 2, 0], [7, -5, 0], [5, 5, 1], [1, -1, -1], [0, 0, 0], [8, -4, -1], [-1, 0, -1], [1, -3, -4], [-10, 2, -3], [0, 0, 0], [0, 0, 0], [-2, 2, 0], [-4, 2, -1], [3, -1, 5], [0, 0, 0], [1, 0, 0], [8, 0, 4], [1, -5, -5], [-1, -1, 0], 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[36, 14, 36], [-2, -24, 16], [29, 7, -32], [29, -15, -33], [47, 17, -3], [-6, -24, -23], [35, -37, -28], [15, 5, -7], [20, 6, -17], [10, 10, -16], [-39, 1, -3], [11, 5, 35], [-44, -8, 17], [-8, 12, 16], [-58, -6, -26]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 72057594071484693, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '2325.2.a.q', 'level': 2325, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [11, 11, 11, 15, 14, 8, 9, 17], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [26, 28, 30, 23, 27, 30, 27, 22], 'Nk2': 9300, 'analytic_conductor': 18.565218469947688, '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': [2325, 1, [776, 652, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 309, 'dim': 96, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13], 'hecke_orbit_code': 33556757, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 11, 11], 'label': '2325.2.a', 'level': 2325, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 31], 'level_radical': 465, 'mf_dim': 332, 'mf_new_dim': 96, 'num_forms': 30, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 640, 'trace_bound': 11, 'trace_display': [-2, 0, 0, 0], 'traces': [96, -2, 0, 94, 0, 0, 0, 0, 96, 0, 4, 8, 12, 10, 0, 98, 16, -2, 16, 0, 0, -12, 4, -12, 0, -40, 0, -6, -44, 0, 6, -22, 0, -32, 0, 94, -20, -14, 8, 0, 4, 0, 12, -32, 0, -64, 0, 16, 124, 0, 16, 36, 8, 0, 0, -44, 8, 28, 16, 0, 0, 0, 0, 92, 0, 24, 24, 16, 8, 0, -16, 0, 44, -12, 0, 90, -4, 24, 0, 0, 96, 50, -32, 40, 0, -12, -8, -44, 24, 0, 4, 12, -2, 80, 0, -4, -4, 28, 4, 0, -44, -8, -24, -12, 0, -40, -72, 8, -52, 0, 24, 66, 4, 8, 0, -136, 12, 70, -64, 0, 48, 88, -20, 12, 0, 10, -28, -18, 16, 0, -56, -8, 4, 0, 0, -40, -12, 0, -84, 0, -24, -34, -24, 98, 0, 68, 32, -48, -160, 0, -12, 52, 16, 52, 0, -24, 28, -140, 32, 0, -44, -2, 8, 70, 0, 60, -140, 60, 168, 0, 16, 40, 48, 8, 0, 12, -28, 12, -96, 0, -48, -8, 16, -108, 0, 6, -72, 8, 0, 0, -176, -8, -20, -58, 0, 144, -4, -12, 28, 0, 16, -178, -108, 56, 0, 38, 4, 120, 76, 0, -48, 112, 36, -54, 0, -12, -8, 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mf_twists_nf • Show schema
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id: 918233
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '2325.2.a.q', 'source_level': 2325, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '465.2.a.f', 'target_level': 465, 'twist_class_label': '465.2.a.f', 'twist_class_level': 465, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 918234
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '2325.2.a.q', 'source_level': 2325, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1395.2.a.i', 'target_level': 1395, 'twist_class_label': '465.2.a.f', 'twist_class_level': 465, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 918235
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '2325.2.a.q', 'source_level': 2325, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2325.2.a.q', 'target_level': 2325, 'twist_class_label': '465.2.a.f', 'twist_class_level': 465, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 918236
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '2325.2.a.q', 'source_level': 2325, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2325.2.c.o', 'target_level': 2325, 'twist_class_label': '465.2.a.f', 'twist_class_level': 465, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 918237
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '2325.2.a.q', 'source_level': 2325, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '6975.2.a.be', 'target_level': 6975, 'twist_class_label': '465.2.a.f', 'twist_class_level': 465, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 918238
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '2325.2.a.q', 'source_level': 2325, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '7440.2.a.bp', 'target_level': 7440, 'twist_class_label': '465.2.a.f', 'twist_class_level': 465, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2577425
{'charpoly_factorization': [[[-1, -3, 1, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 2}
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id: 2577426
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 72057594071484693, 'p': 3}
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id: 2577427
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 72057594071484693, 'p': 5}
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id: 2577428
{'charpoly_factorization': [[[-2, -2, 2, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 7}
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id: 2577429
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 72057594071484693, 'p': 11}
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id: 2577430
{'charpoly_factorization': [[[-2, -22, -2, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 13}
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id: 2577431
{'charpoly_factorization': [[[-52, -28, 0, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 17}
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id: 2577432
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 72057594071484693, 'p': 19}
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id: 2577433
{'charpoly_factorization': [[[-4, -4, 2, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 23}
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id: 2577434
{'charpoly_factorization': [[[130, -16, -8, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 29}
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id: 2577435
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 72057594071484693, 'p': 31}
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id: 2577436
{'charpoly_factorization': [[[358, -118, 0, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 37}
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id: 2577437
{'charpoly_factorization': [[[128, -32, -8, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 41}
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id: 2577438
{'charpoly_factorization': [[[8, -4, -10, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 43}
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id: 2577439
{'charpoly_factorization': [[[68, -36, -6, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 47}
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id: 2577440
{'charpoly_factorization': [[[-76, -40, 0, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 53}
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id: 2577441
{'charpoly_factorization': [[[670, -28, -14, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 59}
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id: 2577442
{'charpoly_factorization': [[[-104, -36, 2, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 61}
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id: 2577443
{'charpoly_factorization': [[[302, 2, -16, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 67}
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id: 2577444
{'charpoly_factorization': [[[134, 84, -20, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 71}
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id: 2577445
{'charpoly_factorization': [[[-86, -70, 0, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 73}
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id: 2577446
{'charpoly_factorization': [[[380, -92, -8, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 79}
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id: 2577447
{'charpoly_factorization': [[[4, -132, 2, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 83}
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id: 2577448
{'charpoly_factorization': [[[-1070, -184, 6, 1], 1]], 'hecke_orbit_code': 72057594071484693, 'p': 89}
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id: 2577449
{'charpoly_factorization': [[[-12, 1], 3]], 'hecke_orbit_code': 72057594071484693, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '2325.2.a.q', 'level': 2325, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 61340251
{'hecke_orbit_code': 72057594071484693, 'n': 1, 'trace_an': 3}
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id: 61340252
{'hecke_orbit_code': 72057594071484693, 'n': 2, 'trace_an': -1}
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