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mf_newforms • Show schema
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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4650, 2, [3101, 2977, 1801], [2, 1, 2]], 'cm_discs': [], 'conrey_indexes': [3349], 'dim': 4, 'field_disc': 4624, 'field_disc_factorization': [[2, 4], [17, 2]], 'field_poly': [16, 0, 9, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, 0, 9, 0, 1]], [11, [-4, -1, 1]], [13, [4, 0, 1]], [17, [256, 0, 36, 0, 1]], [19, [-36, -3, 1]], [29, [-8, 6, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604595385733674, 'hecke_ring_generator_nbound': 7, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4650.2.d.bd', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.a.p', 'nf_label': '4.0.4624.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{2}q^{2}-\\beta _{2}q^{3}-q^{4}-q^{6}+\\beta _{1}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4650.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2300982133524350360, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.941', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.344', 'prec': 17}, {'__RealLiteral__': 0, 'data': '78.275', 'prec': 20}, 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mf_hecke_nf • Show schema
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1, 40, 0], [9, 0, 0, -17], [0, -12, 22, 0], [0, 2, -62, 0], [0, 12, -12, 0], [-36, 0, 0, 32], [0, -10, 62, 0], [15, 0, 0, -5], [-10, 0, 0, 2], [0, -25, -64, 0], [0, 25, 26, 0], [0, -22, 8, 0], [62, 0, 0, 8], [0, -6, -18, 0], [0, 45, 12, 0], [-4, 0, 0, -4], [0, 6, -14, 0], [0, 17, -34, 0], [0, 21, 0, 0], [-3, 0, 0, 25], [-4, 0, 0, 0], [-2, 0, 0, 34]], 'char_orbit_index': 4, 'field_poly': [16, 0, 9, 0, 1], 'hecke_orbit_code': 130604595385733674, 'hecke_ring_character_values': [[3101, [1, 0, 0, 0]], [2977, [-1, 0, 0, 0]], [1801, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-5, 0, 0, 1], [0, -5, 4, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 5, 0, 1], [5, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '4650.2.d.bd', 'level': 4650, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4650, 2, [3101, 2977, 1801], [2, 1, 2]], 'conrey_indexes': [3349], 'cusp_dim': 936, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19, 29], 'hecke_orbit_code': 206191989290, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '4650.2.d', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 984, 'mf_new_dim': 92, 'num_forms': 36, 'prim_orbit_index': 2, 'relative_dim': 92, 'sturm_bound': 1920, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [92, 0, 0, -92, 0, 0, 0, 0, -92, 0, 0, 0, 0, 16, 0, 92, 0, 0, -8, 0, 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-128, 0, 0, 384, 0, 12, 0, 0, -144, 0, 768, 0, 0, -88, 0, -48, 0, 0, 392, 0, 192, 0, 0, 192, 0, -432, 0, 0, -800, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1216966
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '4650.2.d.bd', 'source_level': 4650, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '930.2.a.p', 'target_level': 930, 'twist_class_label': '930.2.a.p', 'twist_class_level': 930, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1216967
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '4650.2.d.bd', 'source_level': 4650, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '2790.2.a.be', 'target_level': 2790, 'twist_class_label': '930.2.a.p', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1216968
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '4650.2.d.bd', 'source_level': 4650, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 57, 'target_is_minimal': False, 'target_label': '4650.2.a.ce', 'target_level': 4650, 'twist_class_label': '930.2.a.p', 'twist_class_level': 930, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1216969
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '4650.2.d.bd', 'source_level': 4650, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '4650.2.d.bd', 'target_level': 4650, 'twist_class_label': '930.2.a.p', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1216970
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '4650.2.d.bd', 'source_level': 4650, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '4650.2.d.bd', 'target_level': 4650, 'twist_class_label': '930.2.a.p', 'twist_class_level': 930, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1216971
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '4650.2.d.bd', 'source_level': 4650, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '7440.2.a.bl', 'target_level': 7440, 'twist_class_label': '930.2.a.p', 'twist_class_level': 930, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3663675
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 2}
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id: 3663676
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 3}
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id: 3663677
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 130604595385733674, 'p': 5}
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id: 3663678
{'charpoly_factorization': [[[16, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 7}
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id: 3663679
{'charpoly_factorization': [[[-4, -1, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 11}
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id: 3663680
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 13}
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id: 3663681
{'charpoly_factorization': [[[256, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 17}
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id: 3663682
{'charpoly_factorization': [[[-36, -3, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 19}
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id: 3663683
{'charpoly_factorization': [[[64, 0, 33, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 23}
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id: 3663684
{'charpoly_factorization': [[[-8, 6, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 29}
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id: 3663685
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 130604595385733674, 'p': 31}
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id: 3663686
{'charpoly_factorization': [[[256, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 37}
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id: 3663687
{'charpoly_factorization': [[[-8, -6, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 41}
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id: 3663688
{'charpoly_factorization': [[[10000, 0, 225, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 43}
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id: 3663689
{'charpoly_factorization': [[[256, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 47}
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id: 3663690
{'charpoly_factorization': [[[7396, 0, 189, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 53}
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id: 3663691
{'charpoly_factorization': [[[64, -18, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 59}
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id: 3663692
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 130604595385733674, 'p': 61}
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id: 3663693
{'charpoly_factorization': [[[20736, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 67}
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id: 3663694
{'charpoly_factorization': [[[-36, 3, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 71}
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id: 3663695
{'charpoly_factorization': [[[11236, 0, 213, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 73}
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id: 3663696
{'charpoly_factorization': [[[72, -21, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 79}
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id: 3663697
{'charpoly_factorization': [[[1024, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 130604595385733674, 'p': 83}
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id: 3663698
{'charpoly_factorization': [[[18, -15, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 89}
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id: 3663699
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 130604595385733674, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 30, 'label': '4650.2.d.bd', 'level': 4650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 265363000
{'hecke_orbit_code': 130604595385733674, 'n': 1, 'trace_an': 4}
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id: 265363001
{'hecke_orbit_code': 130604595385733674, 'n': 2, 'trace_an': 0}
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id: 265363002
{'hecke_orbit_code': 130604595385733674, 'n': 3, 'trace_an': 0}
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id: 265363003
{'hecke_orbit_code': 130604595385733674, 'n': 4, 'trace_an': -4}
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id: 265363004
{'hecke_orbit_code': 130604595385733674, 'n': 5, 'trace_an': 0}
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id: 265363005
{'hecke_orbit_code': 130604595385733674, 'n': 6, 'trace_an': -4}
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id: 265363006
{'hecke_orbit_code': 130604595385733674, 'n': 7, 'trace_an': 0}
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id: 265363007
{'hecke_orbit_code': 130604595385733674, 'n': 8, 'trace_an': 0}
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id: 265363008
{'hecke_orbit_code': 130604595385733674, 'n': 9, 'trace_an': -4}
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id: 265363009
{'hecke_orbit_code': 130604595385733674, 'n': 10, 'trace_an': 0}
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id: 265363010
{'hecke_orbit_code': 130604595385733674, 'n': 11, 'trace_an': 2}
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id: 265363011
{'hecke_orbit_code': 130604595385733674, 'n': 12, 'trace_an': 0}
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id: 265363012
{'hecke_orbit_code': 130604595385733674, 'n': 13, 'trace_an': 0}
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id: 265363013
{'hecke_orbit_code': 130604595385733674, 'n': 14, 'trace_an': -2}
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id: 265363014
{'hecke_orbit_code': 130604595385733674, 'n': 15, 'trace_an': 0}
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id: 265363015
{'hecke_orbit_code': 130604595385733674, 'n': 16, 'trace_an': 4}
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id: 265363016
{'hecke_orbit_code': 130604595385733674, 'n': 17, 'trace_an': 0}
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id: 265363017
{'hecke_orbit_code': 130604595385733674, 'n': 18, 'trace_an': 0}
-
id: 265363018
{'hecke_orbit_code': 130604595385733674, 'n': 19, 'trace_an': 6}
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id: 265363019
{'hecke_orbit_code': 130604595385733674, 'n': 20, 'trace_an': 0}
-
id: 265363020
{'hecke_orbit_code': 130604595385733674, 'n': 21, 'trace_an': -2}
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id: 265363021
{'hecke_orbit_code': 130604595385733674, 'n': 22, 'trace_an': 0}
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id: 265363022
{'hecke_orbit_code': 130604595385733674, 'n': 23, 'trace_an': 0}
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id: 265363023
{'hecke_orbit_code': 130604595385733674, 'n': 24, 'trace_an': 4}
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id: 265363024
{'hecke_orbit_code': 130604595385733674, 'n': 25, 'trace_an': 0}
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id: 265363025
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