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{'Nk2': 32148, 'analytic_conductor': 64.17576810450305, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [19, 1], [47, 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': [8037, 1, [4466, 1693, 7525], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -3, 0, 1]], [5, [1, 0, -3, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543044453, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8037.2.a.e', 'level': 8037, '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, 19, 47], 'level_radical': 2679, 'minimal_twist': '2679.2.a.f', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{2}q^{4}+(1-\\beta _{2})q^{5}+(-2+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8037.2.a', 'trace_display': [0, 0, 3, -6], 'trace_hash': 1098258692412398848, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.848', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.933', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '256.794', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [3, 0, 0, 0, 3, 0, -6, -3, 0, 3, 3, 0, -3, -3, 0, -6, 0, 0, -3, -6, 0, -12, -3, 0, -6, 3, 0, -3, -3, 0, 9, 9, 0, -18, -3, 0, 6, 0, 0, -6, 12, 0, 9, 15, 0, 9, -3, 0, -3, 3, 0, 3, 9, 0, -12, 9, 0, -12, -12, 0, 21, 6, 0, -3, -6, 0, 0, 9, 0, -6, 24, 0, 9, 0, 0, 0, -9, 0, 0, 9, 0, 12, 36, 0, -9, -12, 0, 9, 3, 0, 0, -9, 0, 0, -3, 0, 0, 18, 0, -15, 36, 0, 3, 0, 0, 18, 21, 0, -9, 3, 0, 24, 3, 0, 6, 15, 0, -6, 9, 0, 12, 0, 0, -12, -6, 0, -18, -3, 0, -3, -3, 0, 6, -3, 0, 18, 33, 0, -33, 3, 0, -6, 0, 0, -18, -6, 0, 18, 0, 0, 21, 3, 0, 18, 21, 0, -42, 0, 0, 6, 6, 0, 12, -15, 0, 6, 15, 0, -30, 0, 0, -3, -6, 0, 24, -39, 0, 21, 36, 0, -33, -9, 0, -6, -12, 0, 36, 0, 0, -3, 0, 0, -15, -33, 0, 9, -21, 0, -3, 3, 0, 3, 3, 0, 27, 12, 0, -6, -3, 0, 9, 9, 0, -15, 12, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, -1, 0], [0, 0, 0], [0, 0, 1], [1, 0, -1], [0, 0, 0], [-2, 1, -1], [-1, 1, 0], [0, 0, 0], [1, 0, 0], [1, 1, 2], [0, 0, 0], [-1, -1, 1], [-1, 3, -1], [0, 0, 0], [-2, 1, -3], [0, 3, 0], [0, 0, 0], [-1, 0, 0], [-2, -1, 2], [0, 0, 0], [-4, -3, -1], [-1, -1, -1], [0, 0, 0], [-2, 1, -3], [1, 0, 1], [0, 0, 0], [-1, 0, -1], [-1, 1, 2], [0, 0, 0], [3, 0, -2], [3, 3, -1], [0, 0, 0], [-6, 0, -3], [-1, 1, 0], [0, 0, 0], [2, -2, 4], [0, 1, 0], [0, 0, 0], [-2, 0, 1], [4, -1, -2], [0, 0, 0], [3, 3, -2], [5, 3, -1], [0, 0, 0], [3, 2, 1], [-1, 0, 0], [0, 0, 0], [-1, -5, 4], [1, 5, -1], [0, 0, 0], [1, 0, -2], [3, -5, 4], [0, 0, 0], [-4, -2, 3], [3, -4, 2], [0, 0, 0], [-4, -1, -1], [-4, 2, -2], [0, 0, 0], [7, 1, -2], [2, -1, 0], [0, 0, 0], [-1, -4, 3], [-2, -1, 3], [0, 0, 0], [0, -4, 9], [3, 3, 0], [0, 0, 0], [-2, 1, -1], [8, 2, -2], [0, 0, 0], [3, -1, 4], [0, -6, 2], [0, 0, 0], [0, 0, -1], [-3, -2, -2], [0, 0, 0], [0, -2, 4], [3, 3, -4], [0, 0, 0], [4, -2, 1], [12, -2, 2], [0, 0, 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[51, 26, -9], [36, -33, -17], [48, 15, 11], [-9, 11, -10], [6, 44, -14], [-5, 24, -53], [2, 33, -30], [24, -12, 37], [18, -13, 6], [-17, -3, -44], [51, -10, 26], [-29, -21, 0], [28, -14, -16], [-29, -46, 39], [-32, -26, 21], [-19, 32, 1], [30, 5, 5], [20, 49, -32], [8, 9, 8], [8, -11, -36], [-18, -17, 16], [7, 28, -50], [-34, -2, -23], [-2, 10, 10], [-16, 20, -37], [-30, 26, -37], [0, -21, 17], [43, 11, -7], [-10, 27, -9], [-47, 4, -25], [10, -19, 42], [-17, 5, -55], [-26, -19, -20], [49, 26, -29], [24, -3, -10], [3, 6, -42], [-38, -3, 26], [21, 13, -23], [34, -5, 32], [23, 17, 27], [-25, -30, 17], [26, -10, 2], [49, -28, 17], [-33, 41, 4], [-17, 4, -30], [78, 1, 14], [-14, -24, -17], [29, 31, -13], [-60, -28, 11], [-35, 14, -14], [-7, 29, 32], [14, 0, -5], [-51, 23, 2], [-34, 23, -4], [20, -19, -20], [53, 16, -3], [19, -19, 11], [-44, 19, 11], [-7, -37, 9], [-14, -20, 27], [-34, -10, -11], [-55, -41, 21], [16, 9, -22], [24, -8, -17], [-11, -21, 13], [5, -2, 48], [-49, 28, 1], [12, 11, -2], [-8, -11, -17], [-42, -17, 10], [2, -41, 43], [22, -21, 0], [-7, 6, -37], [-6, -32, 24], [-49, 11, 15], [-38, -58, 34], [-21, -27, 20], [-18, 9, -18], [31, 41, -47], [26, 37, -17], [6, 54, -42], [11, -29, -9], [2, -28, 19], [39, -10, 49], [45, 27, -21], [-9, -38, 0], [-9, -12, -48]], 'char_orbit_index': 1, 'field_poly': [-1, -3, 0, 1], 'hecke_orbit_code': 18014398543044453, '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, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '8037.2.a.e', 'level': 8037, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [34, 34, 34, 34, 53, 51, 46, 58], 'Nk2': 32148, 'analytic_conductor': 64.17576810450305, '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': [8037, 1, [4466, 1693, 7525], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 953, 'dim': 344, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33562469, 'hecke_orbit_dims': [1, 1, 1, 1, 3, 3, 4, 4, 6, 7, 7, 7, 12, 16, 18, 23, 23, 23, 24, 24, 34, 34, 34, 34], 'label': '8037.2.a', 'level': 8037, '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, 19, 47], 'level_radical': 2679, 'mf_dim': 968, 'mf_new_dim': 344, 'num_forms': 24, 'plus_dim': 165, 'prim_orbit_index': 1, 'relative_dim': 344, 'sturm_bound': 1920, 'trace_bound': 7, 'trace_display': [-6, 0, -8, 4], 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mf_twists_nf • Show schema
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id: 1374572
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8037.2.a.e', 'source_level': 8037, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '2679.2.a.f', 'target_level': 2679, 'twist_class_label': '2679.2.a.f', 'twist_class_level': 2679, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1374573
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8037.2.a.e', 'source_level': 8037, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '8037.2.a.e', 'target_level': 8037, 'twist_class_label': '2679.2.a.f', 'twist_class_level': 2679, '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: 4641825
{'charpoly_factorization': [[[1, -3, 0, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 2}
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id: 4641826
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 18014398543044453, 'p': 3}
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id: 4641827
{'charpoly_factorization': [[[1, 0, -3, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 5}
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id: 4641828
{'charpoly_factorization': [[[3, 9, 6, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 7}
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id: 4641829
{'charpoly_factorization': [[[3, -18, -3, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 11}
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id: 4641830
{'charpoly_factorization': [[[-3, 0, 3, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 13}
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id: 4641831
{'charpoly_factorization': [[[-27, -27, 0, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 17}
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id: 4641832
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 18014398543044453, 'p': 19}
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id: 4641833
{'charpoly_factorization': [[[1, -6, 3, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 23}
-
id: 4641834
{'charpoly_factorization': [[[-37, -18, 3, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 29}
-
id: 4641835
{'charpoly_factorization': [[[1, 15, -9, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 31}
-
id: 4641836
{'charpoly_factorization': [[[136, -24, -6, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 37}
-
id: 4641837
{'charpoly_factorization': [[[37, 27, -12, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 41}
-
id: 4641838
{'charpoly_factorization': [[[73, 6, -9, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 43}
-
id: 4641839
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 18014398543044453, 'p': 47}
-
id: 4641840
{'charpoly_factorization': [[[-9, -36, -9, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 53}
-
id: 4641841
{'charpoly_factorization': [[[24, 36, 12, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 59}
-
id: 4641842
{'charpoly_factorization': [[[-289, 138, -21, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 61}
-
id: 4641843
{'charpoly_factorization': [[[901, -183, 0, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 67}
-
id: 4641844
{'charpoly_factorization': [[[-408, 180, -24, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 71}
-
id: 4641845
{'charpoly_factorization': [[[179, -12, -9, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 73}
-
id: 4641846
{'charpoly_factorization': [[[72, -36, 0, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 79}
-
id: 4641847
{'charpoly_factorization': [[[-1592, 420, -36, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 83}
-
id: 4641848
{'charpoly_factorization': [[[-107, -54, -3, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 89}
-
id: 4641849
{'charpoly_factorization': [[[1007, -201, 0, 1], 1]], 'hecke_orbit_code': 18014398543044453, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '8037.2.a.e', 'level': 8037, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 152631000
{'hecke_orbit_code': 18014398543044453, 'n': 1, 'trace_an': 3}
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id: 152631001
{'hecke_orbit_code': 18014398543044453, 'n': 2, 'trace_an': 0}
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id: 152631002
{'hecke_orbit_code': 18014398543044453, 'n': 3, 'trace_an': 0}
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id: 152631003
{'hecke_orbit_code': 18014398543044453, 'n': 4, 'trace_an': 0}
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id: 152631004
{'hecke_orbit_code': 18014398543044453, 'n': 5, 'trace_an': 3}
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id: 152631005
{'hecke_orbit_code': 18014398543044453, 'n': 6, 'trace_an': 0}
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id: 152631006
{'hecke_orbit_code': 18014398543044453, 'n': 7, 'trace_an': -6}
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id: 152631007
{'hecke_orbit_code': 18014398543044453, 'n': 8, 'trace_an': -3}
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id: 152631008
{'hecke_orbit_code': 18014398543044453, 'n': 9, 'trace_an': 0}
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id: 152631009
{'hecke_orbit_code': 18014398543044453, 'n': 10, 'trace_an': 3}
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id: 152631010
{'hecke_orbit_code': 18014398543044453, 'n': 11, 'trace_an': 3}
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id: 152631011
{'hecke_orbit_code': 18014398543044453, 'n': 12, 'trace_an': 0}
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id: 152631012
{'hecke_orbit_code': 18014398543044453, 'n': 13, 'trace_an': -3}
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id: 152631013
{'hecke_orbit_code': 18014398543044453, 'n': 14, 'trace_an': -3}
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id: 152631014
{'hecke_orbit_code': 18014398543044453, 'n': 15, 'trace_an': 0}
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id: 152631015
{'hecke_orbit_code': 18014398543044453, 'n': 16, 'trace_an': -6}
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id: 152631016
{'hecke_orbit_code': 18014398543044453, 'n': 17, 'trace_an': 0}
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id: 152631017
{'hecke_orbit_code': 18014398543044453, 'n': 18, 'trace_an': 0}
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id: 152631018
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