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{'Nk2': 11840, 'analytic_conductor': 23.635718998298994, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [37, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2960, 1, [2591, 741, 1777, 2481], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 583504, 'field_disc_factorization': [[2, 4], [36469, 1]], 'field_poly': [8, 15, -2, -8, 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': [[3, [-14, -8, 16, 2, -5, 1]], [7, [62, -160, 100, -12, -5, 1]], [13, [-8, -196, -172, -28, 6, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972560784, 'hecke_ring_generator_nbound': 3, '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': '2960.2.a.bb', 'level': 2960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '1480.2.a.g', 'nf_label': '5.5.583504.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{3}+q^{5}+(1+\\beta _{2}-\\beta _{4})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2960.2.a', 'trace_display': [0, 5, 5, 5], 'trace_hash': 1193363571263458743, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.707', 'prec': 17}, 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mf_hecke_nf • Show schema
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[-15, -4, -9, 16, 11], [32, -4, -23, -19, -8], [5, -4, 20, -9, 7], [-40, -30, 20, 2, -6], [-39, 8, 6, 17, 3], [-28, -12, 8, -6, 6], [26, -10, 22, 12, -10], [-25, 18, -21, -5, 9], [20, -38, -4, -2, -4], [-16, -20, -1, -1, -12], [26, 11, -20, -9, -5], [-39, -6, 16, 9, 9], [-12, 6, -12, -6, -16], [15, -8, -21, -3, 7], [27, -12, 0, -17, -13], [-30, -10, 22, 4, 2], [-22, 5, 12, -21, -3], [-23, -6, -21, 20, -3], [24, 20, -8, 10, -8], [45, 4, 1, -17, 5], [2, -10, 14, 20, 14], [10, 4, -10, -26, -4], [-8, 17, 4, -5, 11], [16, 4, -21, 1, -4], [0, -3, -20, -9, 13], [35, 8, 5, -9, -5], [16, -6, 5, 1, -18], [7, 4, 24, 1, -3], [-10, -4, 0, 12, 22], [3, 12, 24, 1, -5], [-26, -6, -2, 4, 10], [2, 4, 18, -2, -4], [-15, -6, -10, 13, -7], [32, -16, -2, 20, -2], [-33, 8, -31, 5, 7], [-8, 22, -16, -8, 4], [-24, 6, 0, 18, 8], [-4, 6, -21, -7, 10], [23, -21, 2, -2, -2], [13, -2, -8, 11, 3], [-16, 0, -4, -2, -8], [50, 0, -22, -14, -4], [4, -22, 16, 6, -8], [3, 6, -6, 11, -9], [16, 4, 28, -6, 4], [-2, 33, -24, -21, -3], [2, -10, 6, -8, 10], [13, -16, -12, -5, 1], [-36, 0, 0, 28, 6], [-48, 0, -1, 19, 8], [-17, -4, -8, -21, 11], [-29, 18, -8, -9, -7], [40, 2, -2, -18, -22], [-16, -14, 21, 22, 6], [34, 12, -20, 4, -12], [10, -8, 16, 18, -4], [6, 8, -20, -16, -8], [14, 4, -16, -12, 0], [-13, 16, -28, 1, 11], [6, -4, -12, -16, -4], [-4, 18, -6, -6, 6], [-28, 18, 5, 1, 8], [-23, -10, 10, 9, 11], [5, 12, 8, -5, -17], [5, 22, -12, -7, -15], [-28, -6, 16, 26, 12], [-24, -7, -4, 17, 11], [22, 16, -12, 4, -6], [-13, -10, 35, 3, 1], [38, 0, -22, -10, -6], [37, -9, -2, -10, 8], [20, 2, -12, 2, 12], [10, 0, 0, -6, 0], [-24, 6, -14, -6, -12], [-6, 32, -8, 8, 8], [34, 10, -15, -11, 2], [-77, -6, -6, 3, -7], [-8, 10, 26, -16, 0], [-53, 2, 8, 13, -9], [8, -15, -18, -7, -7], [-19, 22, 2, 9, -3], [-22, -8, -8, 16, 6], [10, -5, -10, -1, -5]], 'char_orbit_index': 1, 'field_poly': [8, 15, -2, -8, 0, 1], 'hecke_orbit_code': 121597189972560784, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [3, 0, 1, 0, 0], [1, 4, 0, 1, 0], [12, 0, 6, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-3, 0, 1, 0, 0], [-1, -4, 0, 1, 0], [7, 4, -6, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '2960.2.a.bb', 'level': 2960, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [37, -1]], 12, 6], [[[2, -1], [5, -1], [37, 1]], 7, 3], [[[2, 1], [5, 1], [37, -1]], 11, 3], [[[2, -1], [5, 1], [37, -1]], 7, 3], [[[2, -1], [5, 1], [37, 1]], 10, 6], [[[2, 1], [5, -1], [37, 1]], 11, 2], [[[2, 1], [5, -1], [37, -1]], 6, 4], [[[2, 1], [5, 1], [37, 1]], 8, 2]], 'ALdims': [8, 11, 11, 6, 10, 7, 7, 12], 'Nk2': 11840, 'analytic_conductor': 23.635718998298994, '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': [2960, 1, [2591, 741, 1777, 2481], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 445, 'dim': 72, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33557392, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6], 'label': '2960.2.a', 'level': 2960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 468, 'mf_new_dim': 72, 'num_forms': 29, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 912, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 4, 0, 8, 0, 8, 0, 8, 0, 12, 0, 72, 0, 24, 0, 8, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, -8, 0, -12, 0, 8, 0, -24, 0, 72, 0, -16, 0, 16, 0, 8, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -8, 0, 24, 0, 0, 0, 48, 0, -16, 0, 80, 0, 0, 0, -16, 0, 48, 0, 16, 0, 64, 0, -16, 0, 0, 0, 40, 0, -24, 0, -24, 0, 68, 0, -8, 0, 16, 0, -16, 0, 0, 0, 8, 0, 8, 0, -16, 0, 56, 0, 96, 0, 72, 0, 0, 0, 0, 0, -40, 0, 0, 0, 16, 0, -8, 0, -24, 0, 72, 0, -56, 0, 16, 0, 0, 0, 80, 0, 40, 0, 80, 0, -24, 0, 16, 0, 8, 0, 88, 0, -8, 0, -12, 0, 0, 0, 84, 0, 120, 0, 120, 0, -24, 0, 0, 0, 0, 0, 32, 0, 8, 0, 120, 0, 0, 0, 64, 0, 64, 0, -48, 0, 56, 0, 0, 0, 8, 0, 88, 0, -8, 0, 32, 0, 24, 0, 20, 0, -32, 0, 80, 0, -48, 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504, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1027913
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2960.2.a.bb', 'source_level': 2960, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1480.2.a.g', 'target_level': 1480, 'twist_class_label': '1480.2.a.g', 'twist_class_level': 1480, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1027914
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2960.2.a.bb', 'source_level': 2960, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2960.2.a.bb', 'target_level': 2960, 'twist_class_label': '1480.2.a.g', 'twist_class_level': 1480, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1027915
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2960.2.a.bb', 'source_level': 2960, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7400.2.a.r', 'target_level': 7400, 'twist_class_label': '1480.2.a.g', 'twist_class_level': 1480, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2937900
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 121597189972560784, 'p': 2}
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id: 2937901
{'charpoly_factorization': [[[-14, -8, 16, 2, -5, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 3}
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id: 2937902
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 121597189972560784, 'p': 5}
-
id: 2937903
{'charpoly_factorization': [[[62, -160, 100, -12, -5, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 7}
-
id: 2937904
{'charpoly_factorization': [[[-32, 16, 48, 0, -7, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 11}
-
id: 2937905
{'charpoly_factorization': [[[-8, -196, -172, -28, 6, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 13}
-
id: 2937906
{'charpoly_factorization': [[[2896, 1268, -100, -76, 0, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 17}
-
id: 2937907
{'charpoly_factorization': [[[-32, -46, 62, 26, -12, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 19}
-
id: 2937908
{'charpoly_factorization': [[[224, -880, 432, -48, -6, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 23}
-
id: 2937909
{'charpoly_factorization': [[[224, -880, 432, -48, -6, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 29}
-
id: 2937910
{'charpoly_factorization': [[[1112, -1206, 370, -10, -10, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 31}
-
id: 2937911
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 121597189972560784, 'p': 37}
-
id: 2937912
{'charpoly_factorization': [[[-32, 16, 48, 0, -7, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 41}
-
id: 2937913
{'charpoly_factorization': [[[32, 240, -384, 152, -22, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 43}
-
id: 2937914
{'charpoly_factorization': [[[1238, -1228, 276, 24, -13, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 47}
-
id: 2937915
{'charpoly_factorization': [[[58544, 848, -2520, -192, 11, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 53}
-
id: 2937916
{'charpoly_factorization': [[[-1448, -134, 486, -42, -10, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 59}
-
id: 2937917
{'charpoly_factorization': [[[-10816, 3952, 144, -128, 0, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 61}
-
id: 2937918
{'charpoly_factorization': [[[-992, -4554, 1582, 50, -24, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 67}
-
id: 2937919
{'charpoly_factorization': [[[-99136, 9344, 2624, -212, -13, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 71}
-
id: 2937920
{'charpoly_factorization': [[[11632, 2768, -912, -108, 13, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 73}
-
id: 2937921
{'charpoly_factorization': [[[11456, 2930, -346, -110, 2, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 79}
-
id: 2937922
{'charpoly_factorization': [[[35434, 22984, 1612, -254, -13, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 83}
-
id: 2937923
{'charpoly_factorization': [[[1984, 1008, -272, -144, -8, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 89}
-
id: 2937924
{'charpoly_factorization': [[[-31744, -19808, -3536, -80, 20, 1], 1]], 'hecke_orbit_code': 121597189972560784, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '2960.2.a.bb', 'level': 2960, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 261698000
{'hecke_orbit_code': 121597189972560784, 'n': 1, 'trace_an': 5}
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id: 261698001
{'hecke_orbit_code': 121597189972560784, 'n': 2, 'trace_an': 0}
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id: 261698002
{'hecke_orbit_code': 121597189972560784, 'n': 3, 'trace_an': 5}
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id: 261698003
{'hecke_orbit_code': 121597189972560784, 'n': 4, 'trace_an': 0}
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id: 261698004
{'hecke_orbit_code': 121597189972560784, 'n': 5, 'trace_an': 5}
-
id: 261698005
{'hecke_orbit_code': 121597189972560784, 'n': 6, 'trace_an': 0}
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id: 261698006
{'hecke_orbit_code': 121597189972560784, 'n': 7, 'trace_an': 5}
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id: 261698007
{'hecke_orbit_code': 121597189972560784, 'n': 8, 'trace_an': 0}
-
id: 261698008
{'hecke_orbit_code': 121597189972560784, 'n': 9, 'trace_an': 6}
-
id: 261698009
{'hecke_orbit_code': 121597189972560784, 'n': 10, 'trace_an': 0}
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id: 261698010
{'hecke_orbit_code': 121597189972560784, 'n': 11, 'trace_an': 7}
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id: 261698011
{'hecke_orbit_code': 121597189972560784, 'n': 12, 'trace_an': 0}
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id: 261698012
{'hecke_orbit_code': 121597189972560784, 'n': 13, 'trace_an': -6}
-
id: 261698013
{'hecke_orbit_code': 121597189972560784, 'n': 14, 'trace_an': 0}
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id: 261698014
{'hecke_orbit_code': 121597189972560784, 'n': 15, 'trace_an': 5}
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id: 261698015
{'hecke_orbit_code': 121597189972560784, 'n': 16, 'trace_an': 0}
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id: 261698016
{'hecke_orbit_code': 121597189972560784, 'n': 17, 'trace_an': 0}
-
id: 261698017
{'hecke_orbit_code': 121597189972560784, 'n': 18, 'trace_an': 0}
-
id: 261698018
{'hecke_orbit_code': 121597189972560784, 'n': 19, 'trace_an': 12}
-
id: 261698019
{'hecke_orbit_code': 121597189972560784, 'n': 20, 'trace_an': 0}
-
id: 261698020
{'hecke_orbit_code': 121597189972560784, 'n': 21, 'trace_an': -1}
-
id: 261698021
{'hecke_orbit_code': 121597189972560784, 'n': 22, 'trace_an': 0}
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id: 261698022
{'hecke_orbit_code': 121597189972560784, 'n': 23, 'trace_an': 6}
-
id: 261698023
{'hecke_orbit_code': 121597189972560784, 'n': 24, 'trace_an': 0}
-
id: 261698024
{'hecke_orbit_code': 121597189972560784, 'n': 25, 'trace_an': 5}
-
id: 261698025
{'hecke_orbit_code': 121597189972560784, 'n': 26, 'trace_an': 0}
-
id: 261698026
{'hecke_orbit_code': 121597189972560784, 'n': 27, 'trace_an': 17}
-
id: 261698027
{'hecke_orbit_code': 121597189972560784, 'n': 28, 'trace_an': 0}
-
id: 261698028
{'hecke_orbit_code': 121597189972560784, 'n': 29, 'trace_an': 6}
-
id: 261698029
{'hecke_orbit_code': 121597189972560784, 'n': 30, 'trace_an': 0}
-
id: 261698030
{'hecke_orbit_code': 121597189972560784, 'n': 31, 'trace_an': 10}
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