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mf_newforms • Show schema
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{'Nk2': 3364, 'analytic_conductor': 6.71541880998968, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[29, -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': [841, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 32268092290502656, 'field_disc_factorization': [[2, 12], [7, 10], [167, 2]], 'field_poly': [1, 0, -36, 0, 148, 0, -169, 0, 78, 0, -15, 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': 1, 'hecke_cutters': [[2, [1, 0, -39, 0, 170, 0, -197, 0, 88, 0, -16, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307260233, 'hecke_ring_generator_nbound': 5, '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, 29, 2, 1, 2, 0]], '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': False, 'label': '841.2.a.k', 'level': 841, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [29], 'level_radical': 29, 'minimal_twist': '29.2.e.a', 'nf_label': '12.12.32268092290502656.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{11}q^{2}+(-\\beta _{6}-\\beta _{9})q^{3}+(1-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '841.2.a', 'trace_display': [0, 0, 8, 10], 'trace_hash': 1603962777213366785, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.069', 'prec': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0], [1, -1, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0], [0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0], [2, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0], [0, 1, 1, 0, 1, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 1, 0, -2, 1, 0, 1], [1, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 2], [0, 0, 0, -1, 0, -1, -1, 0, 0, -1, 0, -2], [0, 0, 0, 1, 0, 2, 1, 0, -1, 0, 0, 2], [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, -2, 0, -1, -1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0], [3, 0, -3, 0, 1, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 1, -1, 0, 1], [0, 0, 0, 0, 0, 3, -2, 0, -1, -3, 0, -1], [0, 0, 0, -2, 0, -2, -1, 0, 2, -1, 0, 0], [4, -1, -2, 0, 0, 0, 0, 5, 0, 0, -1, 0], [0, 0, 0, -1, 0, -1, -5, 0, 2, -1, 0, -2], [-4, 2, 3, 0, 0, 0, 0, -2, 0, 0, 1, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0], [2, -1, -4, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, -1, 0, 1, 0, 0, 1, 0, 0, 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[8, -1, -10, 0, -4, 0, 0, 5, 0, 0, -3, 0], [0, 0, 0, 4, 0, -1, 2, 0, -11, -3, 0, -4], [8, -2, 11, 0, -4, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 2, 0, 1, -9, 0, 11, -7, 0, 7], [-3, -8, 0, 0, -1, 0, 0, 10, 0, 0, 2, 0], [0, 9, 2, 0, 1, 0, 0, -1, 0, 0, -3, 0], [0, 0, 0, 1, 0, -2, -12, 0, 2, 6, 0, -8], [12, 0, 0, 0, 1, 0, 0, 9, 0, 0, 3, 0], [0, 0, 0, 4, 0, 1, -4, 0, 1, 1, 0, -10], [4, 5, 7, 0, -1, 0, 0, -16, 0, 0, 6, 0], [0, 0, 0, 0, 0, -3, -6, 0, 13, 3, 0, 2], [12, 3, -3, 0, -9, 0, 0, 4, 0, 0, -2, 0], [0, 0, 0, -1, 0, 3, -15, 0, 12, -11, 0, -10], [0, 0, 0, 2, 0, 0, 5, 0, -14, 2, 0, -3], [0, -11, -14, 0, -6, 0, 0, 13, 0, 0, -7, 0], [0, 0, 0, -4, 0, -10, 7, 0, 6, -1, 0, 10], [-2, 6, 10, 0, -2, 0, 0, -10, 0, 0, 6, 0], [0, 0, 0, -4, 0, -6, 15, 0, 2, -7, 0, 14], [0, 0, 0, -4, 0, 7, 0, 0, 9, 7, 0, 10], [-10, -8, 7, 0, -2, 0, 0, 4, 0, 0, -3, 0], [0, 0, 0, 2, 0, 3, 0, 0, -9, 5, 0, 2], [-8, 4, 15, 0, -2, 0, 0, -6, 0, 0, 5, 0], [0, 0, 0, -10, 0, 0, -15, 0, 12, -1, 0, -4], [12, 3, -13, 0, -6, 0, 0, -4, 0, 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-22, 0, -17, -8, 0, 13, -11, 0, -8], [0, 0, 0, 8, 0, 2, 19, 0, -17, 7, 0, -2], [0, 0, 0, 4, 0, -1, -14, 0, 3, -11, 0, 2], [0, 0, 0, -19, 0, -6, -13, 0, 24, -11, 0, -6], [-30, -4, 16, 0, 7, 0, 0, -13, 0, 0, 11, 0], [0, 0, 0, 3, 0, 9, 1, 0, 4, -5, 0, 2], [-8, 11, 21, 0, 3, 0, 0, -14, 0, 0, 4, 0], [-34, 1, 11, 0, 11, 0, 0, -10, 0, 0, 2, 0], [0, 0, 0, 3, 0, 0, 16, 0, -5, 14, 0, -5], [-8, 8, -4, 0, 7, 0, 0, 1, 0, 0, -1, 0], [0, 0, 0, 6, 0, 6, -18, 0, -8, -16, 0, -16], [0, 0, 0, 5, 0, 1, 1, 0, 14, -11, 0, -2], [0, 0, 0, 2, 0, -4, 14, 0, -4, 4, 0, -4], [32, 2, -22, 0, 1, 0, 0, 23, 0, 0, -3, 0], [8, 9, -15, 0, 7, 0, 0, -7, 0, 0, 0, 0], [0, 6, 13, 0, -8, 0, 0, 10, 0, 0, 6, 0], [2, 10, 12, 0, 1, 0, 0, -1, 0, 0, 1, 0], [0, 0, 0, -2, 0, -4, -5, 0, -2, -3, 0, -6], [16, -14, -26, 0, -2, 0, 0, 17, 0, 0, -4, 0], [0, 0, 0, 8, 0, 4, 3, 0, 2, 3, 0, -6], [0, 0, 0, 8, 0, -5, 4, 0, 5, 15, 0, -2], [0, 0, 3, 0, 0, 0, 0, -8, 0, 0, -6, 0], [0, 0, 0, 2, 0, 12, -3, 0, -10, 9, 0, 2], [12, -8, 1, 0, -2, 0, 0, 14, 0, 0, -1, 0], [0, 0, 0, 10, 0, 17, -14, 0, -8, -6, 0, -16]], 'char_orbit_index': 1, 'field_poly': [1, 0, -36, 0, 148, 0, -169, 0, 78, 0, -15, 0, 1], 'hecke_orbit_code': 45035996307260233, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 16, 4, 4, 16, 4, 16, 16, 16, 16, 8, 8], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1], [3, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 5, 0, -1, 4, 0, 5], [13, 6, -6, 0, 7, 0, 0, -3, 0, 0, 1, 0], [0, 0, 0, -10, 0, 0, 28, 0, -6, 20, 0, 27], [67, 38, -35, 0, 43, 0, 0, -29, 0, 0, 10, 0], [0, 0, 0, -74, 0, 5, 167, 0, -33, 110, 0, 153], [373, 246, -203, 0, 260, 0, 0, -224, 0, 0, 79, 0], [0, 0, 0, -506, 0, 65, 1024, 0, -181, 633, 0, 893], [2159, 1595, -1189, 0, 1580, 0, 0, -1599, 0, 0, 571, 0], [0, 0, 0, -3359, 0, 586, 6362, 0, -1009, 3739, 0, 5319]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-43, 0, 35, 0, -43, 0, 42, 0, -12, 0, 1, 0], [9, 0, -58, 0, 51, 0, -13, 0, 1, 0, 0, 0], [0, 9, 0, -58, 0, 51, 0, -13, 0, 1, 0, 0], [31, 0, -251, 0, 247, 0, -94, 0, 16, 0, -1, 0], [0, -20, 0, 15, 0, 54, 0, -51, 0, 13, 0, -1], [0, 37, 0, -25, 0, -259, 0, 246, 0, -64, 0, 5], [-1, 0, -207, 0, 463, 0, -298, 0, 68, 0, -5, 0], [0, 199, 0, -783, 0, 887, 0, -402, 0, 76, 0, -5], [0, -155, 0, 999, 0, -1091, 0, 454, 0, -80, 0, 5], [23, 0, -233, 0, 579, 0, -400, 0, 94, 0, -7, 0], [0, 67, 0, -487, 0, 675, 0, -350, 0, 72, 0, -5]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '841.2.a.k', 'level': 841, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 30], 'ALdims_eis_new': [13, 14], 'ALdims_eis_old': [1, 1], 'ALdims_old': [2, 2], 'Nk2': 3364, 'analytic_conductor': 6.71541880998968, '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': [841, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 58, 'dim': 54, 'eis_dim': 29, 'eis_new_dim': 27, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555273, 'hecke_orbit_dims': [2, 2, 2, 2, 3, 3, 6, 6, 8, 8, 12], 'label': '841.2.a', 'level': 841, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [29], 'level_radical': 29, 'mf_dim': 87, 'mf_new_dim': 81, 'num_forms': 11, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 54, 'sturm_bound': 145, 'trace_bound': 2, 'trace_display': [2, -2, 2, 0], 'traces': [54, 2, -2, 40, 2, 6, 0, 6, 28, -2, -2, -10, 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-10, -42, 172, 8, 84, 178, 128, 86, 56, 28, 178, 0, 94, 0, -22, -370, -274, 104, 170, -16, 16, 62, -56, -24, -190, 20, 64, -218, -16, -40, 12, -34, 26, 76, -404, 72, 26, -10, -56, -342, 0, 68, 108, 36, 126, 74, -78, 92, 64, 100, -68, 0, 52, 116, 54], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 529351
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '29.2.e.a', 'target_level': 29, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529352
{'conductor': 87, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '261.2.o.a', 'target_level': 261, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '87.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 529353
{'conductor': 116, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 25, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '464.2.y.d', 'target_level': 464, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '116.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 529354
{'conductor': 145, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 16, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '725.2.p.a', 'target_level': 725, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '145.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 529355
{'conductor': 145, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 16, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '725.2.p.a', 'target_level': 725, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '145.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 529356
{'conductor': 145, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 17, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '725.2.q.a', 'target_level': 725, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '145.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 529357
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '841.2.a.k', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 529358
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '841.2.a.k', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 529359
{'conductor': 29, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '841.2.b.e', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 529360
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 24, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '841.2.d.k', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 529361
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 24, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '841.2.d.k', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 529362
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '841.2.d.l', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 529363
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '841.2.d.l', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 529364
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '841.2.d.m', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 529365
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '841.2.d.m', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 529366
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '841.2.e.a', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529367
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '841.2.e.e', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529368
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '841.2.e.f', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529369
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '841.2.e.h', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529370
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '841.2.e.i', 'target_level': 841, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529371
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '7569.2.a.bp', 'target_level': 7569, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 529372
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '841.2.a.k', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '7569.2.a.bp', 'target_level': 7569, 'twist_class_label': '29.2.e.a', 'twist_class_level': 29, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1396900
{'charpoly_factorization': [[[1, 0, -39, 0, 170, 0, -197, 0, 88, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 2}
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id: 1396901
{'charpoly_factorization': [[[64, 0, -480, 0, 884, 0, -631, 0, 186, 0, -23, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 3}
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id: 1396902
{'charpoly_factorization': [[[1, -16, -24, 34, -5, -4, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 5}
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id: 1396903
{'charpoly_factorization': [[[8, -108, 16, 57, -10, -5, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 7}
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id: 1396904
{'charpoly_factorization': [[[10816, 0, -29152, 0, 23396, 0, -7463, 0, 942, 0, -51, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 11}
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id: 1396905
{'charpoly_factorization': [[[29, -90, 22, 64, -13, -6, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 13}
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id: 1396906
{'charpoly_factorization': [[[53824, 0, -259120, 0, 125672, 0, -22695, 0, 1870, 0, -71, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 17}
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id: 1396907
{'charpoly_factorization': [[[3136, 0, -18032, 0, 27832, 0, -9471, 0, 1218, 0, -63, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 19}
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id: 1396908
{'charpoly_factorization': [[[8, -64, 162, -169, 78, -15, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 23}
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id: 1396909
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 45035996307260233, 'p': 29}
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id: 1396910
{'charpoly_factorization': [[[817216, 0, -2282800, 0, 605224, 0, -65815, 0, 3558, 0, -95, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 31}
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id: 1396911
{'charpoly_factorization': [[[110103049, 0, -47450816, 0, 7544726, 0, -543718, 0, 17633, 0, -238, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 37}
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id: 1396912
{'charpoly_factorization': [[[107584, 0, -383328, 0, 240836, 0, -46551, 0, 3354, 0, -99, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 41}
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id: 1396913
{'charpoly_factorization': [[[24364096, 0, -227414112, 0, 28564260, 0, -1280119, 0, 26630, 0, -263, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 43}
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id: 1396914
{'charpoly_factorization': [[[11343424, 0, -354861168, 0, 79297304, 0, -3350439, 0, 54646, 0, -387, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 47}
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id: 1396915
{'charpoly_factorization': [[[-97, -354, -278, 90, 53, -16, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 53}
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id: 1396916
{'charpoly_factorization': [[[1856, -288, -1616, 440, 92, -22, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 59}
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id: 1396917
{'charpoly_factorization': [[[325694209, 0, -160535764, 0, 24094702, 0, -1428834, 0, 32757, 0, -310, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 61}
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id: 1396918
{'charpoly_factorization': [[[20392, 9652, -10506, 2183, -76, -15, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 67}
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id: 1396919
{'charpoly_factorization': [[[-51688, 23520, 798, -2107, 434, -35, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 71}
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id: 1396920
{'charpoly_factorization': [[[625681, 0, -3507420, 0, 3649618, 0, -435330, 0, 15281, 0, -210, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 73}
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id: 1396921
{'charpoly_factorization': [[[30056463424, 0, -11027545328, 0, 710215944, 0, -15528031, 0, 146666, 0, -627, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 79}
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id: 1396922
{'charpoly_factorization': [[[-20488, 20924, 904, -2841, 568, -41, 1], 2]], 'hecke_orbit_code': 45035996307260233, 'p': 83}
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id: 1396923
{'charpoly_factorization': [[[203946961, 0, -234437288, 0, 63643882, 0, -3853774, 0, 76805, 0, -498, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 89}
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id: 1396924
{'charpoly_factorization': [[[1697809, 0, -117138620, 0, 31565158, 0, -2320970, 0, 61317, 0, -478, 0, 1], 1]], 'hecke_orbit_code': 45035996307260233, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '841.2.a.k', 'level': 841, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 54106447
{'hecke_orbit_code': 45035996307260233, 'n': 1, 'trace_an': 12}
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id: 54106448
{'hecke_orbit_code': 45035996307260233, 'n': 2, 'trace_an': 0}
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id: 54106449
{'hecke_orbit_code': 45035996307260233, 'n': 3, 'trace_an': 0}
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id: 54106450
{'hecke_orbit_code': 45035996307260233, 'n': 4, 'trace_an': 8}
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id: 54106451
{'hecke_orbit_code': 45035996307260233, 'n': 5, 'trace_an': 8}
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id: 54106452
{'hecke_orbit_code': 45035996307260233, 'n': 6, 'trace_an': 24}
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id: 54106453
{'hecke_orbit_code': 45035996307260233, 'n': 7, 'trace_an': 10}
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