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mf_newforms • Show schema
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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 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': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]], [7, [-5, -50, -10, 5, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307265017, 'hecke_ring_generator_nbound': 13, '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, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '5625.2.a.k', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '5625.2.a.k', 'nf_label': '4.4.1125.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}+(-\\beta _{2}+2\\beta _{3})q^{7}+(-1-3\\beta _{1}+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '5625.2.a', 'trace_display': [0, 0, 0, -5], 'trace_hash': 1756331023547673204, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.667', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.259', 'prec': 17}, {'__RealLiteral__': 0, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, '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': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_nf • Show schema
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id: 1267619
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '5625.2.a.k', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '5625.2.a.k', 'target_level': 5625, 'twist_class_label': '5625.2.a.k', 'twist_class_level': 5625, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1267620
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '5625.2.a.k', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '5625.2.a.k', 'target_level': 5625, 'twist_class_label': '5625.2.a.k', 'twist_class_level': 5625, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267621
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '5625.2.a.k', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '5625.2.a.l', 'target_level': 5625, 'twist_class_label': '5625.2.a.k', 'twist_class_level': 5625, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267622
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '5625.2.a.k', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '5625.2.a.l', 'target_level': 5625, 'twist_class_label': '5625.2.a.k', 'twist_class_level': 5625, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3952550
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 2}
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id: 3952551
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 3}
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id: 3952552
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 5}
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id: 3952553
{'charpoly_factorization': [[[-5, -50, -10, 5, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 7}
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id: 3952554
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 11}
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id: 3952555
{'charpoly_factorization': [[[-155, -200, -40, 5, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 13}
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id: 3952556
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 17}
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id: 3952557
{'charpoly_factorization': [[[1711, 94, -94, -1, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 19}
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id: 3952558
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 23}
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id: 3952559
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 29}
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id: 3952560
{'charpoly_factorization': [[[-389, 742, -106, -7, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 31}
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id: 3952561
{'charpoly_factorization': [[[-1655, 850, -85, -10, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 37}
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id: 3952562
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 41}
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id: 3952563
{'charpoly_factorization': [[[4495, -950, -190, 5, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 43}
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id: 3952564
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 47}
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id: 3952565
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 53}
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id: 3952566
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 59}
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id: 3952567
{'charpoly_factorization': [[[-4379, 1768, -136, -13, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 61}
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id: 3952568
{'charpoly_factorization': [[[14695, -1550, -310, 5, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 67}
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id: 3952569
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 71}
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id: 3952570
{'charpoly_factorization': [[[145, 2650, -265, -10, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 73}
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id: 3952571
{'charpoly_factorization': [[[25141, 1516, -379, -4, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 79}
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id: 3952572
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 83}
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id: 3952573
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45035996307265017, 'p': 89}
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id: 3952574
{'charpoly_factorization': [[[35545, -2300, -460, 5, 1], 1]], 'hecke_orbit_code': 45035996307265017, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '5625.2.a.k', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 211758000
{'hecke_orbit_code': 45035996307265017, 'n': 1, 'trace_an': 4}
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id: 211758001
{'hecke_orbit_code': 45035996307265017, 'n': 2, 'trace_an': 0}
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id: 211758002
{'hecke_orbit_code': 45035996307265017, 'n': 3, 'trace_an': 0}
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id: 211758003
{'hecke_orbit_code': 45035996307265017, 'n': 4, 'trace_an': -8}
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