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{'Nk2': 15000, 'analytic_conductor': 29.943900757980145, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [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': [3750, 1, [2501, 3127], [1, 1]], 'cm_discs': [], 'conrey_index': 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': [[7, [-59, -23, 14, 8, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326227110, 'hecke_ring_generator_nbound': 7, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3750.2.a.s', 'level': 3750, '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': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '3750.2.a.j', 'nf_label': '4.4.1125.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{6}+(-2+\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3750.2.a', 'trace_display': [4, 4, 0, -8], 'trace_hash': 32468806865462057, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '41.577', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '664.489', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [4, 4, 4, 4, 0, 4, -8, 4, 4, 0, -12, 4, -14, -8, 0, 4, -3, 4, -5, 0, -8, -12, -9, 4, 0, -14, 4, -8, 0, 0, -2, 4, -12, -3, 0, 4, -23, -5, -14, 0, -12, -8, -14, -12, 0, -9, -3, 4, 8, 0, -3, -14, -9, 4, 0, -8, -5, 0, -15, 0, 13, -2, -8, 4, 0, -12, -23, -3, -9, 0, -12, 4, -14, -23, 0, -5, 9, -14, -5, 0, 4, -12, 6, -8, 0, -14, 0, -12, -15, 0, 8, -9, -2, -3, 0, 4, -23, 8, -12, 0, 3, -3, 1, -14, 0, -9, -3, 4, 25, 0, -23, -8, -9, -5, 0, 0, -14, -15, -9, 0, 22, 13, -12, -2, 0, -8, 37, 4, -14, 0, 18, -12, 20, -23, 0, -3, -3, -9, -5, 0, -3, -12, 42, 4, 0, -14, 8, -23, 45, 0, -2, -5, -3, 9, 0, -14, 32, -5, -9, 0, 3, 4, -19, -12, 0, 6, -18, -8, 32, 0, -5, -14, 6, 0, 0, -12, -15, -15, 30, 0, 28, 8, 13, -9, 0, -2, -21, -3, -8, 0, -12, 4, -19, -23, 0, 8, 27, -12, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [8, 12, 10, 10, 12, 8, 6, 14], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [14, 15, 15, 15, 15, 15, 15, 15], 'ALdims_old': [69, 84, 79, 74, 77, 76, 85, 67], 'Nk2': 15000, 'analytic_conductor': 29.943900757980145, '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': [3750, 1, [2501, 3127], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 80, 'eis_dim': 119, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 33558182, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '3750.2.a', 'level': 3750, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 810, 'mf_new_dim': 80, 'num_forms': 22, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 1500, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 80, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 80, 0, 0, -20, 0, -20, 0, 0, 0, 0, 20, 0, 0, 20, 0, -20, 0, 0, 20, 0, 80, 0, 0, -20, 0, 20, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, -20, 0, 0, -20, 0, 80, 0, 0, -20, 0, 0, 0, 0, 20, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 20, 0, 20, 0, 0, 0, 0, -20, 0, 0, 0, 0, 20, 0, 0, 80, 0, 160, 0, 0, -20, 0, 0, 0, 0, -20, 0, 80, 0, 0, 0, 0, 20, 0, 0, 60, 0, 0, 0, 0, 80, 0, 20, 0, 0, 100, 0, 20, 0, 0, 40, 0, -20, 0, 0, 40, 0, 80, 0, 0, 20, 0, 40, 0, 0, 80, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, -20, 0, 80, 0, 0, 20, 0, 60, 0, 0, 20, 0, -20, 0, 0, 0, 0, 0, 0, 0, 80, 0, -20, 0, 0, 40, 0, 0, 0, 0, -20, 0, 40, 0, 0, 0, 0, 20, 0, 0, 80, 0, 40, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 80, 0, 80, 0, 0, 40, 0, 20, 0, 0, 0, 0, 80, 0, 0, -100, 0, -100, 0, 0, 20, 0, 0, 0, 0, -20, 0, -100, 0, 0, 0, 0, 80, 0, 0, -20, 0, -20, 0, 0, 40, 0, 20, 0, 0, -40, 0, 40, 0, 0, -20, 0, 20, 0, 0, -20, 0, -120, 0, 0, 100, 0, -20, 0, 0, 120, 0, 80, 0, 0, 80, 0, -120, 0, 0, -40, 0, 140, 0, 0, -120, 0, -20, 0, 0, 80, 0, -240, 0, 0, 0, 0, 60, 0, 0, 80, 0, -20, 0, 0, 0, 0, 20, 0, 0, -40, 0, 20, 0, 0, -40, 0, 0, 0, 0, 20, 0, 80, 0, 0, -120, 0, 0, 0, 0, -140, 0, -20, 0, 0, 0, 0, 20, 0, 0, -100, 0, 160, 0, 0, 100, 0, 0, 0, 0, -40, 0, -100, 0, 0, 20, 0, -80, 0, 0, 80, 0, 0, 0, 0, 0, 0, 20, 0, 0, -40, 0, -120, 0, 0, 20, 0, 0, 0, 0, 80, 0, -120, 0, 0, 0, 0, 0, 0, 0, -100, 0, 60, 0, 0, -20, 0, -40, 0, 0, -100, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 20, 0, 20, 0, 0, -380, 0, -240, 0, 0, 40, 0, 80, 0, 0, -40, 0, -220, 0, 0, 160, 0, 0, 0, 0, -240, 0, -40, 0, 0, -120, 0, -20, 0, 0, -160, 0, 80, 0, 0, 0, 0, 80, 0, 0, -220, 0, -140, 0, 0, 20, 0, -20, 0, 0, 0, 0, -100, 0, 0, 80, 0, 80, 0, 0, 120, 0, 0, 0, 0, 80, 0, 0, 0, 0, 240, 0, -260, 0, 0, 20, 0, 0, 0, 0, 0, 0, -240, 0, 0, -100, 0, 60, 0, 0, -300, 0, 80, 0, 0, 0, 0, -120, 0, 0, 180, 0, 140, 0, 0, 160, 0, 80, 0, 0, -240, 0, 120, 0, 0, 20, 0, -100, 0, 0, 200, 0, 120, 0, 0, 0, 0, 100, 0, 0, 40, 0, -300, 0, 0, 20, 0, 80, 0, 0, 40, 0, 120, 0, 0, -240, 0, 40, 0, 0, 60, 0, 0, 0, 0, -20, 0, -400, 0, 0, -500, 0, -140, 0, 0, -360, 0, 40, 0, 0, 0, 0, -240, 0, 0, 80, 0, 80, 0, 0, -200, 0, -260, 0, 0, 0, 0, 20, 0, 0, 40, 0, -340, 0, 0, 40, 0, 20, 0, 0, 60, 0, 40, 0, 0, -400, 0, 80, 0, 0, -60, 0, 40, 0, 0, -20, 0, -120, 0, 0, -500, 0, -60, 0, 0, -40, 0, 0, 0, 0, 80, 0, 180, 0, 0, 0, 0, -400, 0, 0, -220, 0, -20, 0, 0, 0, 0, 0, 0, 0, 120, 0, 240, 0, 0, 0, 0, 40, 0, 0, 80, 0, 120, 0, 0, 80, 0, 0, 0, 0, 220, 0, -260, 0, 0, 40, 0, -520, 0, 0, 160, 0, 220, 0, 0, 120, 0, -20, 0, 0, 80, 0, 60, 0, 0, 80, 0, -40, 0, 0, -420, 0, -120, 0, 0, 0, 0, 20, 0, 0, 240, 0, 40, 0, 0, 60, 0, 80, 0, 0, -120, 0, 160, 0, 0, -400, 0, 20, 0, 0, -80, 0, 20, 0, 0, -20, 0, -120, 0, 0, 220, 0, -360, 0, 0, 160, 0, 0, 0, 0, -40, 0, -440, 0, 0, 0, 0, 0, 0, 0, 40, 0, 60, 0, 0, -120, 0, 80, 0, 0, -240, 0, 20, 0, 0, -20, 0, 0, 0, 0, -160, 0, 320, 0, 0, 40, 0, 40, 0, 0, 20, 0, -120, 0, 0, 0, 0, 180, 0, 0, 120, 0, 360, 0, 0, -240, 0, -20, 0, 0, -80, 0, -280, 0, 0, 40, 0, 240, 0, 0, -100, 0, 0, 0, 0, 80, 0, 0, 0, 0, 400, 0, -40, 0, 0, 20, 0, -120, 0, 0, 20, 0, 280, 0, 0, -240, 0, 80, 0, 0, -100, 0, -140, 0, 0, 40, 0, -40, 0, 0, 60, 0, -160, 0, 0, -80, 0, 20, 0, 0, -140, 0, 140, 0, 0, 0, 0, -40, 0, 0, -380, 0, -120, 0, 0, 20, 0, 0, 0, 0, 480, 0, -140, 0, 0, 0, 0, 80, 0, 0, -40, 0, -80, 0, 0, -120, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, -380, 0, 0, 120, 0, -60, 0, 0, 40, 0, 0, 0, 0, -20, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1145466
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '3750.2.a.s', 'source_level': 3750, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '3750.2.a.j', 'target_level': 3750, 'twist_class_label': '3750.2.a.j', 'twist_class_level': 3750, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1145467
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '3750.2.a.s', 'source_level': 3750, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '3750.2.a.s', 'target_level': 3750, 'twist_class_label': '3750.2.a.j', 'twist_class_level': 3750, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1145468
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '3750.2.a.s', 'source_level': 3750, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3750.2.c.i', 'target_level': 3750, 'twist_class_label': '3750.2.a.j', 'twist_class_level': 3750, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3340125
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064793326227110, 'p': 2}
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id: 3340126
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064793326227110, 'p': 3}
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id: 3340127
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227110, 'p': 5}
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id: 3340128
{'charpoly_factorization': [[[-59, -23, 14, 8, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 7}
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id: 3340129
{'charpoly_factorization': [[[-9, 18, 39, 12, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 11}
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id: 3340130
{'charpoly_factorization': [[[-89, 34, 56, 14, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 13}
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id: 3340131
{'charpoly_factorization': [[[-279, -243, -51, 3, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 17}
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id: 3340132
{'charpoly_factorization': [[[-155, -200, -40, 5, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 19}
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id: 3340133
{'charpoly_factorization': [[[-279, -126, 6, 9, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 23}
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id: 3340134
{'charpoly_factorization': [[[45, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 29}
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id: 3340135
{'charpoly_factorization': [[[31, 28, -31, 2, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 31}
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id: 3340136
{'charpoly_factorization': [[[-3299, -443, 119, 23, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 37}
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id: 3340137
{'charpoly_factorization': [[[-549, -342, -21, 12, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 41}
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id: 3340138
{'charpoly_factorization': [[[-1769, -911, -34, 14, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 43}
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id: 3340139
{'charpoly_factorization': [[[-9, -18, -6, 3, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 47}
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id: 3340140
{'charpoly_factorization': [[[-729, -486, -54, 9, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 53}
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id: 3340141
{'charpoly_factorization': [[[-225, -675, -15, 15, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 59}
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id: 3340142
{'charpoly_factorization': [[[7801, 1138, -136, -13, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 61}
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id: 3340143
{'charpoly_factorization': [[[541, 547, 179, 23, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 67}
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id: 3340144
{'charpoly_factorization': [[[531, -567, -66, 12, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 71}
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id: 3340145
{'charpoly_factorization': [[[-509, -731, -64, 14, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 73}
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id: 3340146
{'charpoly_factorization': [[[-5, -50, -10, 5, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 79}
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id: 3340147
{'charpoly_factorization': [[[531, 1899, -294, -6, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 83}
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id: 3340148
{'charpoly_factorization': [[[-6975, -1800, -60, 15, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 89}
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id: 3340149
{'charpoly_factorization': [[[-2039, -4148, -136, 23, 1], 1]], 'hecke_orbit_code': 81064793326227110, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '3750.2.a.s', 'level': 3750, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62999191
{'hecke_orbit_code': 81064793326227110, 'n': 1, 'trace_an': 4}
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id: 62999192
{'hecke_orbit_code': 81064793326227110, 'n': 2, 'trace_an': 4}
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id: 62999193
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