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mf_newforms • Show schema
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{'Nk2': 9792, 'analytic_conductor': 19.547378414809437, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 4, 'char_parity': 1, 'char_values': [2448, 4, [2143, 613, 1361, 1873], [4, 4, 4, 1]], 'cm_discs': [], 'conrey_index': 1441, 'dim': 4, 'field_disc': 2704, 'field_disc_factorization': [[2, 4], [13, 2]], 'field_poly': [9, 0, 7, 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': [[5, [2, -2, 1]], [7, [36, -12, 2, 2, 1]], [11, [4, 12, 18, -6, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90074054165268880, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 3, 1, 4, 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': '2448.2.be.u', 'level': 2448, '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, 17], 'level_radical': 102, 'minimal_twist': '68.2.e.a', 'nf_label': '4.0.2704.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\beta _{1})q^{5}+(-\\beta _{1}-\\beta _{2})q^{7}+(2+\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2448.2.be', 'trace_display': [0, 0, 4, -2], 'trace_hash': 1469084008612558321, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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16, 16], [0, 53, 5, 5], [0, -16, -4, -4], [0, -67, -3, -3], [0, -53, 7, 7], [14, -11, -11, 11], [26, 11, 11, -11], [0, -33, 3, 3], [-24, 2, 2, -2], [-28, 28, 0, -13], [6, -7, -13, 0], [0, -58, 2, 2], [-8, 8, 0, -5], [-12, -2, -2, 2], [5, -5, 0, 6], [13, -7, -20, 0], [0, 25, 5, 5], [0, -9, 15, 15], [25, -25, 0, -2], [44, -44, 0, 5], [0, -21, 11, 11], [26, 33, 7, 0], [27, -27, 0, 24], [17, 5, -12, 0], [-48, -4, -4, 4], [-6, 11, 11, -11], [-26, -3, 23, 0], [0, 55, 7, 7], [-14, 15, 15, -15], [0, -39, 9, 9], [-6, -9, -3, 0]], 'char_orbit_index': 31, 'field_poly': [9, 0, 7, 0, 1], 'hecke_orbit_code': 90074054165268880, 'hecke_ring_character_values': [[2143, [1, 0, 0, 0]], [613, [1, 0, 0, 0]], [1361, [1, 0, 0, 0]], [1873, [0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 1], [-8, 1, 1, -1], [0, 5, -2, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 4, 0, 1], [4, 1, 1, 0], [-12, 7, -3, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2448.2.be.u', 'level': 2448, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 9792, 'analytic_conductor': 19.547378414809437, 'char_conductor': 17, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 4, 'char_parity': 1, 'char_values': [2448, 4, [2143, 613, 1361, 1873], [4, 4, 4, 1]], 'conrey_index': 1441, 'cusp_dim': 816, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 2061617858960, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 12], 'label': '2448.2.be', 'level': 2448, '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, 17], 'level_radical': 102, 'mf_dim': 912, 'mf_new_dim': 92, 'num_forms': 25, 'prim_orbit_index': 3, 'relative_dim': 44, 'sturm_bound': 864, 'trace_bound': 11, 'trace_display': [0, 0, 0, 2], 'traces': [88, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 4, 0, 10, 0, 0, 0, 20, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 20, 0, 0, 0, 4, 0, 16, 0, 0, 0, -22, 0, -24, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 16, 0, 0, 0, 4, 0, 24, 0, 0, 0, -28, 0, 12, 0, 0, 0, 4, 0, 24, 0, 0, 0, -34, 0, -44, 0, 0, 0, -16, 0, -12, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 20, 0, 0, 0, -20, 0, 22, 0, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 2, 0, 64, 0, 0, 0, -4, 0, -22, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 6, 0, 0, 0, 168, 0, -32, 0, 0, 0, 60, 0, 82, 0, 0, 0, -52, 0, -40, 0, 0, 0, -20, 0, 78, 0, 0, 0, 52, 0, -52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 24, 0, -64, 0, 0, 0, -40, 0, -8, 0, 0, 0, -44, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -80, 0, 0, 0, 64, 0, -40, 0, 0, 0, 78, 0, 40, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 8, 0, 0, 0, 16, 0, 68, 0, 0, 0, -16, 0, 28, 0, 0, 0, -16, 0, 56, 0, 0, 0, 18, 0, 40, 0, 0, 0, -12, 0, 108, 0, 0, 0, 72, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -184, 0, 16, 0, 0, 0, 36, 0, 84, 0, 0, 0, -42, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -46, 0, 0, 0, -64, 0, -132, 0, 0, 0, -12, 0, -94, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -14, 0, 0, 0, -308, 0, 60, 0, 0, 0, -92, 0, -144, 0, 0, 0, 92, 0, -32, 0, 0, 0, -76, 0, 4, 0, 0, 0, -46, 0, -20, 0, 0, 0, -108, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, -52, 0, -234, 0, 0, 0, -32, 0, -180, 0, 0, 0, 96, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 0, -36, 0, -108, 0, 0, 0, -170, 0, 12, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -92, 0, 0, 0, 52, 0, -162, 0, 0, 0, 70, 0, -12, 0, 0, 0, -112, 0, 196, 0, 0, 0, -24, 0, 56, 0, 0, 0, 68, 0, 232, 0, 0, 0, -182, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 322, 0, -28, 0, 0, 0, 48, 0, -286, 0, 0, 0, 108, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, -114, 0, 0, 0, 210, 0, 36, 0, 0, 0, -172, 0, -136, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, -372, 0, 0, 0, 360, 0, -136, 0, 0, 0, -156, 0, 178, 0, 0, 0, -192, 0, 208, 0, 0, 0, 0, 0, -78, 0, 0, 0, 88, 0, -80, 0, 0, 0, -148, 0, 0, 0, 0, 0, 284, 0, 0, 0, 0, 0, 32, 0, 138, 0, 0, 0, 104, 0, 4, 0, 0, 0, 148, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 52, 0, 0, 0, -4, 0, -196, 0, 0, 0, 214, 0, -52, 0, 0, 0, 0, 0, 186, 0, 0, 0, 0, 0, 140, 0, 0, 0, 52, 0, 12, 0, 0, 0, -152, 0, 96, 0, 0, 0, 100, 0, 304, 0, 0, 0, -62, 0, -128, 0, 0, 0, -68, 0, 144, 0, 0, 0, 224, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -322, 0, 48, 0, 0, 0, 132, 0, -122, 0, 0, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -194, 0, 0, 0, -204, 0, -4, 0, 0, 0, 80, 0, -50, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 96, 0, 0, 0, -388, 0, -84, 0, 0, 0, 80, 0, -106, 0, 0, 0, 252, 0, 104, 0, 0, 0, -20, 0, -90, 0, 0, 0, -230, 0, 80, 0, 0, 0, 124, 0, 0, 0, 0, 0, -322, 0, 0, 0, 0, 0, 56, 0, 30, 0, 0, 0, 44, 0, -76, 0, 0, 0, -108, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, -20, 0, 0, 0, 20, 0, 360, 0, 0, 0, -250, 0, -68, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 0, 0, 0, 32, 0, -126, 0, 0, 0, 86, 0, 4, 0, 0, 0, 244, 0, 16, 0, 0, 0, -24, 0, 52, 0, 0, 0, 28, 0, -404, 0, 0, 0, -372, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 306, 0, 44, 0, 0, 0, -28, 0, -216, 0, 0, 0, 40, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 208, 0, 0, 0, 242, 0, -192, 0, 0, 0, 100, 0, -66, 0, 0, 0, 0, 0, -16, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 942484
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '68.2.e.a', 'target_level': 68, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 942485
{'conductor': 204, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '68.2.e.a', 'target_level': 68, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '204.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 942486
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '272.2.o.g', 'target_level': 272, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 942487
{'conductor': 51, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '272.2.o.g', 'target_level': 272, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '51.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 942488
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '612.2.k.e', 'target_level': 612, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 942489
{'conductor': 68, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '612.2.k.e', 'target_level': 612, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '68.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 942490
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1088.2.o.s', 'target_level': 1088, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 942491
{'conductor': 408, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1088.2.o.s', 'target_level': 1088, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '408.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 942492
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1088.2.o.t', 'target_level': 1088, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 942493
{'conductor': 408, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1088.2.o.t', 'target_level': 1088, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '408.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 942494
{'conductor': 204, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1156.2.a.h', 'target_level': 1156, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '204.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 942495
{'conductor': 204, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1156.2.b.a', 'target_level': 1156, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '204.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 942496
{'conductor': 204, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1156.2.e.c', 'target_level': 1156, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '204.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 942497
{'conductor': 204, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1156.2.e.c', 'target_level': 1156, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '204.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 942498
{'conductor': 204, 'degree': 8, 'multiplicity': 8, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1156.2.h.e', 'target_level': 1156, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '204.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 942499
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1700.2.m.a', 'target_level': 1700, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 942500
{'conductor': 1020, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1700.2.m.a', 'target_level': 1700, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '1020.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 942501
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1700.2.m.b', 'target_level': 1700, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 942502
{'conductor': 1020, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1700.2.m.b', 'target_level': 1700, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '1020.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 942503
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1700.2.o.c', 'target_level': 1700, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 942504
{'conductor': 1020, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1700.2.o.c', 'target_level': 1700, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '1020.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 942505
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 31, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2448.2.be.u', 'target_level': 2448, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 942506
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 31, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2448.2.be.u', 'target_level': 2448, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 942507
{'conductor': 51, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 31, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2448.2.be.u', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '4624.2.a.bq', 'target_level': 4624, 'twist_class_label': '68.2.e.a', 'twist_class_level': 68, 'twisting_char_label': '51.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2660675
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90074054165268880, 'p': 2}
-
id: 2660676
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90074054165268880, 'p': 3}
-
id: 2660677
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 90074054165268880, 'p': 5}
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id: 2660678
{'charpoly_factorization': [[[36, -12, 2, 2, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 7}
-
id: 2660679
{'charpoly_factorization': [[[4, 12, 18, -6, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 11}
-
id: 2660680
{'charpoly_factorization': [[[-12, 2, 1], 2]], 'hecke_orbit_code': 90074054165268880, 'p': 13}
-
id: 2660681
{'charpoly_factorization': [[[289, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 17}
-
id: 2660682
{'charpoly_factorization': [[[16, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 19}
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id: 2660683
{'charpoly_factorization': [[[36, 60, 50, 10, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 23}
-
id: 2660684
{'charpoly_factorization': [[[324, -144, 32, 8, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 29}
-
id: 2660685
{'charpoly_factorization': [[[36, 60, 50, 10, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 31}
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id: 2660686
{'charpoly_factorization': [[[18, -6, 1], 2]], 'hecke_orbit_code': 90074054165268880, 'p': 37}
-
id: 2660687
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 90074054165268880, 'p': 41}
-
id: 2660688
{'charpoly_factorization': [[[1296, 0, 124, 0, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 43}
-
id: 2660689
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 90074054165268880, 'p': 47}
-
id: 2660690
{'charpoly_factorization': [[[2304, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 53}
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id: 2660691
{'charpoly_factorization': [[[144, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 59}
-
id: 2660692
{'charpoly_factorization': [[[10404, 408, 8, -4, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 61}
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id: 2660693
{'charpoly_factorization': [[[-48, 4, 1], 2]], 'hecke_orbit_code': 90074054165268880, 'p': 67}
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id: 2660694
{'charpoly_factorization': [[[2116, -460, 50, 10, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 71}
-
id: 2660695
{'charpoly_factorization': [[[98, 14, 1], 2]], 'hecke_orbit_code': 90074054165268880, 'p': 73}
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id: 2660696
{'charpoly_factorization': [[[4, -12, 18, 6, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 79}
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id: 2660697
{'charpoly_factorization': [[[4624, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 83}
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id: 2660698
{'charpoly_factorization': [[[-108, -6, 1], 2]], 'hecke_orbit_code': 90074054165268880, 'p': 89}
-
id: 2660699
{'charpoly_factorization': [[[36, 96, 128, 16, 1], 1]], 'hecke_orbit_code': 90074054165268880, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 31, 'hecke_orbit': 21, 'label': '2448.2.be.u', 'level': 2448, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64772683
{'hecke_orbit_code': 90074054165268880, 'n': 1, 'trace_an': 4}
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id: 64772684
{'hecke_orbit_code': 90074054165268880, 'n': 2, 'trace_an': 0}
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id: 64772685
{'hecke_orbit_code': 90074054165268880, 'n': 3, 'trace_an': 0}
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id: 64772686
{'hecke_orbit_code': 90074054165268880, 'n': 4, 'trace_an': 0}
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id: 64772687
{'hecke_orbit_code': 90074054165268880, 'n': 5, 'trace_an': 4}
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id: 64772688
{'hecke_orbit_code': 90074054165268880, 'n': 6, 'trace_an': 0}
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id: 64772689
{'hecke_orbit_code': 90074054165268880, 'n': 7, 'trace_an': -2}
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id: 64772690
{'hecke_orbit_code': 90074054165268880, 'n': 8, 'trace_an': 0}
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id: 64772691
{'hecke_orbit_code': 90074054165268880, 'n': 9, 'trace_an': 0}
-
id: 64772692
{'hecke_orbit_code': 90074054165268880, 'n': 10, 'trace_an': 0}
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id: 64772693
{'hecke_orbit_code': 90074054165268880, 'n': 11, 'trace_an': 6}
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id: 64772694
{'hecke_orbit_code': 90074054165268880, 'n': 12, 'trace_an': 0}
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id: 64772695
{'hecke_orbit_code': 90074054165268880, 'n': 13, 'trace_an': -4}
-
id: 64772696
{'hecke_orbit_code': 90074054165268880, 'n': 14, 'trace_an': 0}
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id: 64772697
{'hecke_orbit_code': 90074054165268880, 'n': 15, 'trace_an': 0}
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id: 64772698
{'hecke_orbit_code': 90074054165268880, 'n': 16, 'trace_an': 0}
-
id: 64772699
{'hecke_orbit_code': 90074054165268880, 'n': 17, 'trace_an': 0}
-
id: 64772700
{'hecke_orbit_code': 90074054165268880, 'n': 18, 'trace_an': 0}
-
id: 64772701
{'hecke_orbit_code': 90074054165268880, 'n': 19, 'trace_an': 0}
-
id: 64772702
{'hecke_orbit_code': 90074054165268880, 'n': 20, 'trace_an': 0}
-
id: 64772703
{'hecke_orbit_code': 90074054165268880, 'n': 21, 'trace_an': 0}
-
id: 64772704
{'hecke_orbit_code': 90074054165268880, 'n': 22, 'trace_an': 0}
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id: 64772705
{'hecke_orbit_code': 90074054165268880, 'n': 23, 'trace_an': -10}
-
id: 64772706
{'hecke_orbit_code': 90074054165268880, 'n': 24, 'trace_an': 0}
-
id: 64772707
{'hecke_orbit_code': 90074054165268880, 'n': 25, 'trace_an': 0}
-
id: 64772708
{'hecke_orbit_code': 90074054165268880, 'n': 26, 'trace_an': 0}
-
id: 64772709
{'hecke_orbit_code': 90074054165268880, 'n': 27, 'trace_an': 0}
-
id: 64772710
{'hecke_orbit_code': 90074054165268880, 'n': 28, 'trace_an': 0}
-
id: 64772711
{'hecke_orbit_code': 90074054165268880, 'n': 29, 'trace_an': -8}
-
id: 64772712
{'hecke_orbit_code': 90074054165268880, 'n': 30, 'trace_an': 0}
-
id: 64772713
{'hecke_orbit_code': 90074054165268880, 'n': 31, 'trace_an': -10}
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id: 64772714
{'hecke_orbit_code': 90074054165268880, 'n': 32, 'trace_an': 0}
-
id: 64772715
{'hecke_orbit_code': 90074054165268880, 'n': 33, 'trace_an': 0}
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id: 64772716
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