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{'Nk2': 16200, 'analytic_conductor': 32.339412818618555, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4050, 2, [2351, 3727], [2, 1]], 'cm_discs': [], 'conrey_index': 649, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [0, 1]], [13, [16, 0, 1]], [17, [36, 0, 1]], [19, [-7, 1]], [29, [-6, 1]], [41, [-9, 1]], [71, [-6, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334864105426, 'hecke_ring_generator_nbound': 2, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4050.2.c.h', 'level': 4050, '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': '450.2.e.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{2}-q^{4}+2 i q^{7}-i q^{8}+4 i q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4050.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1435490307083725748, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 2], [0, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 4], [-2, 0], [0, 0], [1, 0], [0, -6], [0, 0], [7, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [0, -2], [6, 0], [0, 0], [-10, 0], [0, 1], [0, 0], [6, 0], [0, 0], [0, 0], [0, 2], [0, 7], [0, 0], [0, 0], [9, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [3, 0], [0, 0], [0, 0], [0, -4], [0, 12], [0, 0], [0, 0], [2, 0], [0, 0], [0, 6], [9, 0], [0, 0], [-4, 0], [0, -10], [0, 0], [-1, 0], [0, 0], [0, 0], [0, -13], [0, 6], [0, 0], [0, 0], [6, 0], [0, 0], [0, 1], [-2, 0], [0, 0], [-7, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 9], [0, -9], [0, 0], [0, 0], [-1, 0], [0, 0], [0, 0], [-15, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 17], [0, 3], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 0], [0, 0], [0, 2], [0, 0], [0, 4], [0, -6], [7, 0], [0, 0], [6, 0], [-10, 0], [0, 2], [9, 0], [0, 1], [0, 6], [0, 12], [9, 0], [-4, 0], [0, -13], 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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4050.2.c.h', 'level': 4050, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 16200, 'analytic_conductor': 32.339412818618555, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4050, 2, [2351, 3727], [2, 1]], 'conrey_index': 649, 'cusp_dim': 738, 'dim': 72, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19, 29, 41, 71], 'hecke_orbit_code': 137472511954, 'hecke_orbit_dims': [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, 4, 4], 'label': '4050.2.c', 'level': 4050, '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': 882, 'mf_new_dim': 72, 'num_forms': 28, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 1620, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 372, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 276, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -516, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -420, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, -48, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1186143
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '450.2.e.c', 'target_level': 450, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1186144
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '450.2.e.f', 'target_level': 450, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1186145
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.2.j.b', 'target_level': 450, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1186146
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.2.j.b', 'target_level': 450, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1186147
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1350.2.e.d', 'target_level': 1350, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1186148
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1350.2.e.h', 'target_level': 1350, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1186149
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.2.j.b', 'target_level': 1350, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1186150
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.2.j.b', 'target_level': 1350, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1186151
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4050.2.a.d', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1186152
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4050.2.a.o', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1186153
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4050.2.a.u', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1186154
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '4050.2.a.bg', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1186155
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4050.2.c.h', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1186156
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4050.2.c.h', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1186157
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4050.2.c.m', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1186158
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '4050.2.c.h', 'source_level': 4050, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4050.2.c.m', 'target_level': 4050, 'twist_class_label': '450.2.e.c', 'twist_class_level': 450, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3484450
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 2}
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id: 3484451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 3}
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id: 3484452
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 5}
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id: 3484453
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 7}
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id: 3484454
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 11}
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id: 3484455
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 13}
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id: 3484456
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 17}
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id: 3484457
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 19}
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id: 3484458
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 23}
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id: 3484459
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 29}
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id: 3484460
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 31}
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id: 3484461
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 37}
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id: 3484462
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 41}
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id: 3484463
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 43}
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id: 3484464
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 47}
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id: 3484465
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 53}
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id: 3484466
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 59}
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id: 3484467
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 61}
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id: 3484468
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 67}
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id: 3484469
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 71}
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id: 3484470
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 73}
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id: 3484471
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 79}
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id: 3484472
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 83}
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id: 3484473
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 31525334864105426, 'p': 89}
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id: 3484474
{'charpoly_factorization': [[[289, 0, 1], 1]], 'hecke_orbit_code': 31525334864105426, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '4050.2.c.h', 'level': 4050, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49801201
{'hecke_orbit_code': 31525334864105426, 'n': 1, 'trace_an': 2}
-
id: 49801202
{'hecke_orbit_code': 31525334864105426, 'n': 2, 'trace_an': 0}
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id: 49801203
{'hecke_orbit_code': 31525334864105426, 'n': 3, 'trace_an': 0}
-
id: 49801204
{'hecke_orbit_code': 31525334864105426, 'n': 4, 'trace_an': -2}
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id: 49801205
{'hecke_orbit_code': 31525334864105426, 'n': 5, 'trace_an': 0}
-
id: 49801206
{'hecke_orbit_code': 31525334864105426, 'n': 6, 'trace_an': 0}
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id: 49801207
{'hecke_orbit_code': 31525334864105426, 'n': 7, 'trace_an': 0}
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id: 49801208
{'hecke_orbit_code': 31525334864105426, 'n': 8, 'trace_an': 0}
-
id: 49801209
{'hecke_orbit_code': 31525334864105426, 'n': 9, 'trace_an': 0}
-
id: 49801210
{'hecke_orbit_code': 31525334864105426, 'n': 10, 'trace_an': 0}
-
id: 49801211
{'hecke_orbit_code': 31525334864105426, 'n': 11, 'trace_an': 0}
-
id: 49801212
{'hecke_orbit_code': 31525334864105426, 'n': 12, 'trace_an': 0}
-
id: 49801213
{'hecke_orbit_code': 31525334864105426, 'n': 13, 'trace_an': 0}
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id: 49801214
{'hecke_orbit_code': 31525334864105426, 'n': 14, 'trace_an': -4}
-
id: 49801215
{'hecke_orbit_code': 31525334864105426, 'n': 15, 'trace_an': 0}
-
id: 49801216
{'hecke_orbit_code': 31525334864105426, 'n': 16, 'trace_an': 2}
-
id: 49801217
{'hecke_orbit_code': 31525334864105426, 'n': 17, 'trace_an': 0}
-
id: 49801218
{'hecke_orbit_code': 31525334864105426, 'n': 18, 'trace_an': 0}
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