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mf_newforms • Show schema
Hide schema
{'Nk2': 204, 'analytic_conductor': 0.40723705030852997, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 8, 'char_parity': 1, 'char_values': [51, 8, [35, 37], [8, 7]], 'cm_discs': [], 'conrey_index': 19, 'dim': 8, 'field_disc': 16777216, 'field_disc_factorization': [[2, 24]], 'field_poly': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 16, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 481069891635, 'hecke_ring_generator_nbound': 3, '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, 17, 4, 1, 8, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '51.2.h.a', 'level': 51, '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': True, 'level_primes': [3, 17], 'level_radical': 51, 'minimal_twist': '51.2.h.a', 'nf_label': '8.0.16777216.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\zeta_{16}+\\zeta_{16}^{3})q^{2}+\\zeta_{16}^{7}q^{3}+(\\zeta_{16}^{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '51.2.h', 'trace_display': [0, 0, -8, 0], 'trace_hash': 1317339916745141742, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.601', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '183.355', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7351.717', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.147', 'prec': 17}, 'traces': [8, 0, 0, 0, -8, -8, 0, 0, 0, 0, 8, 0, 0, -16, 0, 16, -8, 0, -8, 16, 0, -8, 8, 8, -16, 16, 0, -8, 0, 0, 8, 0, 8, -8, 32, 8, -8, 0, 16, -8, -24, 8, -8, 0, -8, 0, 0, 0, -8, -32, 0, -16, -32, -8, 0, -16, -16, 24, 16, -8, 16, 16, 0, 0, 24, -16, -16, 0, -24, 40, -16, 0, 48, 64, 16, 24, 0, 8, 0, -16, 0, -8, 32, 0, 40, -32, 24, -8, 0, 0, -16, -32, -32, 0, -40, -16, 8, 0, 8, 0, 0, 16, -56, -32, -24, 0, -24, 0, -8, -16, -16, -16, -8, 8, 0, 0, 8, -16, 16, 0, 32, 80, 0, 16, 8, 0, 24, 0, 32, -16, 24, 0, 0, 16, 8, -24, 48, 16, -32, 0, 16, -72, -8, 16, -24, -32, 32, -8, 0, 16, -24, 64, -8, 0, -48, -16, 0, -16, 0, 32, 16, 0, 40, -16, 0, 0, -8, 0, 16, 0, -24, 8, 24, 0, -48, 48, 0, -40, 0, 0, 32, 0, 0, 24, 0, -16, -40, 64, 0, 0, 0, 0, 32, -16, -8, -8, -56, -16, -8, 0, -16, 32, -32, -16, 56, -48, 8, 0, -40, -48, 16, -16, 24, 16, 24, -8, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0], [-1, 0, -1, -1, -1, 0, -1, 0], [-1, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 1, 0], [0, -1, 0, 1, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, -2, -1, -2, -1, -2], [1, -1, 1, -1, 1, 0, -1, 1], [0, -1, 0, 0, 0, -1, 0, 0], [0, -2, 1, 0, 1, 0, 1, -2], [-2, -1, 0, 0, 0, 1, 2, 2], [0, 1, 1, 1, 0, 1, 0, -1], [2, 0, 2, 0, 0, 0, -2, 0], [-1, 0, -1, -2, 3, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, -1], [-1, 2, -3, 2, -1, -2, 0, 2], [2, 1, 0, 0, 0, -1, -2, 0], [0, 0, 0, -1, -2, -1, 0, 0], [-1, 2, -2, 2, -2, 2, -1, 0], [1, 3, 1, 0, -3, 0, 3, 0], [1, 0, -1, 0, 1, 0, 1, 0], [-2, -2, 0, 2, 2, 2, 0, 2], [2, -1, 0, 1, -2, 2, 0, 2], [0, 0, 0, 0, 0, 1, 0, 0], [-1, 0, -1, -2, -1, 0, 1, 2], [0, -3, 0, 2, 0, -3, 0, 0], [0, 0, 2, 1, 2, 1, 2, 0], [1, 4, -1, 0, 1, -4, -1, 2], [0, 2, 0, 2, 0, 4, 0, -4], [1, -1, 1, -1, 0, 1, -1, 1], [-1, -2, 0, -2, -2, 2, -1, 4], [4, 3, 2, 2, 0, -2, -2, -3], [1, 0, 0, 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11, 2, -7, 2, 11, -2], [14, 19, 0, -19, -14, -7, -4, -7], [-5, -2, 7, 16, 7, -2, -5, 0], [-2, -2, 16, -2, -2, 4, 0, -4], [-1, 0, 1, 5, -3, 7, -3, 5], [3, 4, -5, -10, -5, 4, 3, 0], [-9, -4, 5, -5, 5, -4, -9, 0], [-7, 0, 7, 6, 8, -10, 8, 6], [-5, 11, -5, 19, -1, 0, 1, -19], [0, 10, -9, -4, 0, -4, -9, 10], [-7, -7, -7, -17, 1, 0, -1, 17], [8, -10, -9, 0, 9, 10, -8, -16], [-10, 0, 10, 17, -2, -4, -2, 17], [-15, -2, 0, 2, 15, -12, 16, -12], [0, 4, -6, -19, -16, -19, -6, 4], [2, 0, -2, 26, 7, -8, 7, 26], [10, -12, 10, 0, -10, 12, -10, -2], [-17, -8, -12, 12, 0, -12, 12, 8], [-21, -1, 9, 0, -9, 1, 21, 9], [-17, 0, -17, -2, 18, 0, -18, 2], [3, 0, -3, 7, -11, 15, -11, 7], [-11, 14, 2, 24, 0, -24, -2, -14], [27, 9, 27, -3, 1, 0, -1, 3], [8, 6, 20, 6, 8, -2, 0, 2], [8, -22, 8, -9, 6, 0, -6, 9], [16, 11, 6, 2, 6, 11, 16, 0], [-20, 7, -6, -13, 0, 13, 6, -7], [7, -4, -13, -4, 7, -2, 0, 2], [12, 5, 18, 5, 12, 5, 0, -5], [-2, -16, 0, 16, 2, 9, -2, 9], [-7, 16, -1, 0, 1, -16, 7, 5], [8, -6, 4, 4, 4, -6, 8, 0], [8, -32, 8, -10, -7, 0, 7, 10]], 'char_orbit_index': 8, 'field_poly': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'hecke_orbit_code': 481069891635, 'hecke_ring_character_values': [[35, [1, 0, 0, 0, 0, 0, 0, 0]], [37, [0, 0, 0, 0, 0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 8, 'label': '51.2.h.a', 'level': 51, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 204, 'analytic_conductor': 0.40723705030852997, 'char_conductor': 17, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 8, 'char_parity': 1, 'char_values': [51, 8, [35, 37], [8, 7]], 'conrey_index': 19, 'cusp_dim': 16, 'dim': 8, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 481069891635, 'hecke_orbit_dims': [8], 'label': '51.2.h', 'level': 51, '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': True, 'level_primes': [3, 17], 'level_radical': 51, 'mf_dim': 32, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 2, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [0, 0, -8, 0], 'traces': [8, 0, 0, 0, -8, -8, 0, 0, 0, 0, 8, 0, 0, -16, 0, 16, -8, 0, -8, 16, 0, -8, 8, 8, -16, 16, 0, -8, 0, 0, 8, 0, 8, -8, 32, 8, -8, 0, 16, -8, -24, 8, -8, 0, -8, 0, 0, 0, -8, -32, 0, -16, -32, -8, 0, -16, -16, 24, 16, -8, 16, 16, 0, 0, 24, -16, -16, 0, -24, 40, -16, 0, 48, 64, 16, 24, 0, 8, 0, -16, 0, -8, 32, 0, 40, -32, 24, -8, 0, 0, -16, -32, -32, 0, -40, -16, 8, 0, 8, 0, 0, 16, -56, -32, -24, 0, -24, 0, -8, -16, -16, -16, -8, 8, 0, 0, 8, -16, 16, 0, 32, 80, 0, 16, 8, 0, 24, 0, 32, -16, 24, 0, 0, 16, 8, -24, 48, 16, -32, 0, 16, -72, -8, 16, -24, -32, 32, -8, 0, 16, -24, 64, -8, 0, -48, -16, 0, -16, 0, 32, 16, 0, 40, -16, 0, 0, -8, 0, 16, 0, -24, 8, 24, 0, -48, 48, 0, -40, 0, 0, 32, 0, 0, 24, 0, -16, -40, 64, 0, 0, 0, 0, 32, -16, -8, -8, -56, -16, -8, 0, -16, 32, -32, -16, 56, -48, 8, 0, -40, -48, 16, -16, 24, 16, 24, -8, 0, -64, -32, 16, -24, 16, -24, -32, 0, 24, -40, 32, -40, 32, 8, 16, -24, 0, -64, -48, 0, 48, 32, 16, 64, 0, 0, 24, 8, 16, 96, 80, -32, 48, 0, -8, -8, 0, 0, 32, 80, 0, 0, 32, 0, -56, 48, -16, 0, 32, -24, 0, 8, 16, 56, -48, 16, -40, 16, 0, -8, -16, -8, 32, 32, -32, -80, -16, 0, 72, 16, 0, -16, -64, -16, -80, 0, 8, 24, -16, 8, -40, 40, 32, -72, 0, -24, -64, -96, 0, -16, 0, 32, 0, 0, -8, 0, -80, 16, -24, 16, 32, 0, 32, 16, -80, 8, 0, -16, -48, 0, -56, 16, -8, -48, 16, 0, 16, 16, 0, -16, 32, 56, -48, -48, 0, 8, 0, 0, 72, 64, 16, -72, 64, 0, -16, 0, 32, 56, 64, 40, 32, 64, -8, 0, 64, 48, 40, 96, -24, -48, -16, 24, 0, 16, 16, 32, 80, -24, -32, -48, 0, 64, -64, -32, 72, -96, -48, 0, 32, 0, 16, -32, -48, 80, -64, -56, 72, 0, 0, -72, 0, -16, -32, -56, 24, 104, 0, -8, 32, -96, -16, -120, 32, 48, 0, 16, 24, -32, -32, 16, -64, -64, -8, 0, 32, -32, 32, -16, 32, 88, -32, 0, 40, -32, 0, -16, -48, -16, 0, -8, 0, 56, 0, 8, 56, -80, -48, -16, 0, -56, -16, 48, -32, 24, 16, -64, -16, 0, 24, 8, 64, 16, 32, 128, 0, 0, 0, 56, -72, -32, -8, 8, -16, -48, 0, 56, 24, 32, 64, 16, 0, -8, 0, -72, -48, -48, 32, -32, 0, 80, -16, 0, -128, -48, -32, -64, -64, -8, 16, 0, -32, 88, -32, -8, 104, 40, 16, -8, 0, -32, 88, 96, -40, -32, 0, -16, 0, 72, 48, 32, -64, 0, 40, -8, -24, 0, -16, 64, -176, -96, 48, -112, -48, 0, -40, -40, -32, 96, 0, 48, 56, 40, 0, -24, 16, 32, 48, 32, -8, 128, 0, -16, -48, 128, 48, 56, 48, 72, -24, 0, 16, -32, 128, 0, 64, -32, 0, 0, 16, 8, 0, 16, 64, 8, -48, 64, 0, -16, 16, -88, 96, 16, 16, -80, 0, 16, -16, -8, -24, -32, -32, -56, 0, 0, -32, -80, -16, -112, 64, 0, -80, 0, -32, -32, 64, -8, -32, -48, 16, -144, 0, -8, -184, 16, -32, 104, 48, 16, 0, 96, 24, -88, -16, 0, 8, -32, 0, 0, -80, -64, -32, -16, 48, -80, 0, 0, -88, -136, 16, -64, 16, 0, -16, -8, 0, 40, -64, -88, -128, 144, 0, 0, 0, -16, 80, 56, 0, 40, 16, 32, 64, 0, 16, 104, -32, -8, 96, -16, 64, 0, 32, 64, 24, -64, 48, 16, -48, -16, 0, 56, 0, 112, 0, 8, 16, 88, 0, -56, -16, -80, 0, 48, -16, 40, 0, 0, 88, 80, 0, 80, -128, -72, 96, 0, -8, 128, 0, 0, -24, 0, 8, 136, 0, 0, 48, 16, -32, 40, 16, 16, 0, -24, -48, 0, 64, 0, -24, 64, -32, 0, -16, 0, 160, -24, -64, -40, -48, 0, 96, -64, 16, -88, 32, 48, 48, -16, 0, -96, -32, -16, -56, -32, 16, -192, 0, 24, 40, 0, 16, 32, 80, -32, -72, 0, -112, -64, 0, 48, -32, -16, 0, 0, 0, -24, -32, 112, -48, 0, -32, -16, 0, -56, 24, 64, -144, -16, 0, -8, 0, -40, -64, 32, -56, -48, -8, -32, -48, 0, -32, -16, 0, 64, -192, -32, 88, 0, -16, 72, 16, 0, 16, -8, -8, 24, 0, -32, 152, -144, 32, 56, 144, -16, 0, -72, -32, -56, -32, 16, -24, -40, 32, 0, 112, 48, -32, 56, 64, 8, 96, 0, -104, -56, 0, 96, -16, -88, -16, -16, 0, 96, -32, 64, 144, 128, 48, 64, 0, 40, -40, -80, 48, -120, 0, -8, -24, 0, -16, -48, 64, 16, -128, 16, 8, 0, 32, -24, 120, -80, -16, 16, 48, 0, 0, 80, -32, -136, 80, -64, -32, -168, 0, 88, 112, 8, -8, -48, -32, -32, 96, 0, 64, 112, -32, 80, 32, 64, -56, 0, 24, -136, -32, -16, -24, 24, -32, -48, 0, 120, -64, 0, 16, -88, 0, -16, 0, 32, 8, -80, 112, 32, -112, 216, 48, 0, -16, 8, -48, 88, 32, 64, 0, 0, -32, 64, 16, -64, -64, -16, -120, 128, 0, -48, 64, 112, -80, -160, -16, 8, 0, -16, -16, 0, -16, -144, -80, 56, 104, 0, 48, 56, -64, -40, -48, 96, 0, 0, -32, 16, 16, -16, -80, -16, -32, 8, 0, -56, -48, 56, 16, 0, -24, -24, 0, 64, 160, 64, 128, 80, 48, 64, -112, 0, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 43736
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '51.2.h.a', 'target_level': 51, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 43737
{'conductor': 17, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '51.2.h.a', 'target_level': 51, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 43738
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '153.2.l.e', 'target_level': 153, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43739
{'conductor': 51, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '153.2.l.e', 'target_level': 153, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '51.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 43740
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 43, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '816.2.bq.a', 'target_level': 816, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43741
{'conductor': 68, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 43, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '816.2.bq.a', 'target_level': 816, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '68.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 43742
{'conductor': 17, 'degree': 8, 'multiplicity': 1, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '867.2.a.m', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 43743
{'conductor': 17, 'degree': 8, 'multiplicity': 1, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '867.2.a.n', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 43744
{'conductor': 17, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '867.2.d.e', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 43745
{'conductor': 17, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '867.2.e.h', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 43746
{'conductor': 17, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '867.2.e.i', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 43747
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '867.2.h.b', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 43748
{'conductor': 17, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '867.2.h.b', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 43749
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '867.2.h.f', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 43750
{'conductor': 17, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '867.2.h.f', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 43751
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '867.2.h.g', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43752
{'conductor': 17, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '867.2.h.g', 'target_level': 867, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 43753
{'conductor': 51, 'degree': 8, 'multiplicity': 1, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2601.2.a.bc', 'target_level': 2601, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '51.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 43754
{'conductor': 51, 'degree': 8, 'multiplicity': 1, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '51.2.h.a', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2601.2.a.bd', 'target_level': 2601, 'twist_class_label': '51.2.h.a', 'twist_class_level': 51, 'twisting_char_label': '51.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 175350
{'charpoly_factorization': [[[4, 0, 0, 0, 12, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 2}
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id: 175351
{'charpoly_factorization': [[[1, 0, 0, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 3}
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id: 175352
{'charpoly_factorization': [[[1, 24, 184, 264, 224, 120, 40, 8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 5}
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id: 175353
{'charpoly_factorization': [[[4, -16, 152, 176, 8, -40, 4, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 7}
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id: 175354
{'charpoly_factorization': [[[1, -8, 16, 8, 64, 8, 16, -8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 11}
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id: 175355
{'charpoly_factorization': [[[2209, 0, 3308, 0, 646, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 13}
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id: 175356
{'charpoly_factorization': [[[83521, 39304, 11560, 1496, 240, 88, 40, 8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 17}
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id: 175357
{'charpoly_factorization': [[[134689, 137992, 70688, 17224, 2178, 72, 32, 8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 19}
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id: 175358
{'charpoly_factorization': [[[73441, -36856, 2248, 2600, -672, -8, 88, -8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 23}
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id: 175359
{'charpoly_factorization': [[[38416, 0, 9408, 0, 1152, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 29}
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id: 175360
{'charpoly_factorization': [[[399424, 161792, -8640, -9024, 544, -96, 104, -8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 31}
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id: 175361
{'charpoly_factorization': [[[498436, -107312, 84840, 128, 3528, -520, -68, 8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 37}
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id: 175362
{'charpoly_factorization': [[[1, 8, 40, 120, 224, 264, 184, 24, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 41}
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id: 175363
{'charpoly_factorization': [[[1682209, -446168, 59168, 13704, 2306, -216, 32, 8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 43}
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id: 175364
{'charpoly_factorization': [[[565504, 0, 261376, 0, 13408, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 47}
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id: 175365
{'charpoly_factorization': [[[246016, 349184, 247808, 102400, 27232, 4672, 512, 32, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 53}
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id: 175366
{'charpoly_factorization': [[[264196, 271392, 139392, -6560, -244, -80, 128, -16, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 59}
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id: 175367
{'charpoly_factorization': [[[1110916, -1374416, 674456, -158640, 19336, -2088, 324, -16, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 61}
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id: 175368
{'charpoly_factorization': [[[4, -16, 4, 8, 1], 2]], 'hecke_orbit_code': 481069891635, 'p': 67}
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id: 175369
{'charpoly_factorization': [[[4624, -15232, 88960, 6656, 4608, -1280, -32, 16, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 71}
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id: 175370
{'charpoly_factorization': [[[565504, -2983936, 4929280, -1205248, 194688, -19008, 1200, -48, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 73}
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id: 175371
{'charpoly_factorization': [[[3844, -13392, 14040, -1104, 648, 408, 36, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 79}
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id: 175372
{'charpoly_factorization': [[[73984, -87040, 51200, 24576, 11360, -3648, 512, -32, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 83}
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id: 175373
{'charpoly_factorization': [[[6543364, 0, 700496, 0, 23956, 0, 296, 0, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 89}
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id: 175374
{'charpoly_factorization': [[[399424, 343808, 136128, 31040, 3872, -128, -24, -8, 1], 1]], 'hecke_orbit_code': 481069891635, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '51.2.h.a', 'level': 51, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 9293484
{'hecke_orbit_code': 481069891635, 'n': 1, 'trace_an': 8}
-
id: 9293485
{'hecke_orbit_code': 481069891635, 'n': 2, 'trace_an': 0}
-
id: 9293486
{'hecke_orbit_code': 481069891635, 'n': 3, 'trace_an': 0}
-
id: 9293487
{'hecke_orbit_code': 481069891635, 'n': 4, 'trace_an': 0}
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id: 9293488
{'hecke_orbit_code': 481069891635, 'n': 5, 'trace_an': -8}
-
id: 9293489
{'hecke_orbit_code': 481069891635, 'n': 6, 'trace_an': -8}
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id: 9293490
{'hecke_orbit_code': 481069891635, 'n': 7, 'trace_an': 0}
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id: 9293491
{'hecke_orbit_code': 481069891635, 'n': 8, 'trace_an': 0}
-
id: 9293492
{'hecke_orbit_code': 481069891635, 'n': 9, 'trace_an': 0}
-
id: 9293493
{'hecke_orbit_code': 481069891635, 'n': 10, 'trace_an': 0}
-
id: 9293494
{'hecke_orbit_code': 481069891635, 'n': 11, 'trace_an': 8}
-
id: 9293495
{'hecke_orbit_code': 481069891635, 'n': 12, 'trace_an': 0}
-
id: 9293496
{'hecke_orbit_code': 481069891635, 'n': 13, 'trace_an': 0}
-
id: 9293497
{'hecke_orbit_code': 481069891635, 'n': 14, 'trace_an': -16}
-
id: 9293498
{'hecke_orbit_code': 481069891635, 'n': 15, 'trace_an': 0}
-
id: 9293499
{'hecke_orbit_code': 481069891635, 'n': 16, 'trace_an': 16}
-
id: 9293500
{'hecke_orbit_code': 481069891635, 'n': 17, 'trace_an': -8}
-
id: 9293501
{'hecke_orbit_code': 481069891635, 'n': 18, 'trace_an': 0}
-
id: 9293502
{'hecke_orbit_code': 481069891635, 'n': 19, 'trace_an': -8}
-
id: 9293503
{'hecke_orbit_code': 481069891635, 'n': 20, 'trace_an': 16}
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id: 9293504
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