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mf_newforms • Show schema
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{'Nk2': 9408, 'analytic_conductor': 18.780814555405147, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [2352, 2, [1471, 1765, 785, 2257], [1, 2, 1, 2]], 'cm_discs': [-3], 'conrey_index': 2255, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [11, [0, 1]], [13, [-2, 1]], [47, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007680324634928, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 12, 2, 1, 2, 0], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '2352.2.h.c', 'level': 2352, '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, 7], 'level_radical': 42, 'minimal_twist': '48.2.c.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta q^{3}-3 q^{9}+2 q^{13}+2\\beta q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '2352.2.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 176936228424253468, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.876', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.122', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-10, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [-14, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-10, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [0, 10], [0, 0], [9, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-18, 0], [0, 0], [0, 0], [0, 0], [14, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 6], [-10, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [-14, 0], [0, -2], [0, 0], [-10, 0], [0, 10], [0, 0], [0, 0], [14, 0], [0, 0], [0, -2], [0, 0], [-2, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 10], [0, 0], [0, -14], [-14, 0], [0, 14], [0, 0], [0, 0], [0, 0], [26, 0], [0, 0], [2, 0], [0, 0], [0, -2], [0, 14], [0, 6], [0, 0], [-22, 0], [0, 0], [0, 0], [14, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -10], [-26, 0], [0, 0], [0, -6], [0, 0], [0, 18], [0, 0], [22, 0], [0, 0], [0, -10], [34, 0], [0, 0], [-14, 0], [0, 0], [0, 0], [0, 22], [38, 0], [0, 22], [0, 0], [0, 0], [34, 0], [0, 0], [38, 0], [0, 0], [22, 0], [0, 0], [-2, 0], [0, -18], [0, 0], [0, 0], [10, 0], [0, 0], [0, -22], [0, 0], [0, 0], [0, 2], [0, 0], [0, -18], [0, 0], [0, 0], [0, 0], [0, 26], [46, 0], [0, 14], [0, 0], [0, 0], [0, 0], [0, -26], [46, 0], [0, 0], [0, 0], [0, 0], [-26, 0], [0, -26], [-10, 0], [0, 0], [0, -22], [0, -14], [0, 0], [0, 18], [0, 0], [0, 0], [0, 0], [-38, 0], [50, 0], [0, 0], [0, 0], [0, -30], [0, 0], [22, 0], [0, 0], [0, -18], [50, 0], [0, 30], [0, 0], [0, 10], [-26, 0], [0, 0], [-2, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, -6], [0, 0], [0, -14], [0, 0], [-46, 0], [0, 0], [58, 0], [0, 0], [0, 10], [0, 0], [-34, 0], [0, 0], [0, -34], [0, 0], [0, -26], [0, 0], [0, 18], [0, 0], [-26, 0], [0, 0], [0, 0], [0, 0], [0, 34], [0, 0], [0, 0], [0, 0], [0, 26], [10, 0], [-62, 0], [0, 0], [0, 0], [-14, 0], [0, 0], [58, 0], [0, 22], [0, 0], [0, 6], [0, 0], [0, -34], [-62, 0], [0, -38], [0, 0], [22, 0], [0, 0], [0, 0], [0, 0], [46, 0], [0, 34], [-38, 0], [0, 0], [62, 0], [0, 0], [0, 14], [0, 0], [0, 0], [0, 0], [2, 0], [-50, 0], [0, 0], [0, 0], [0, 0], [0, -10], [-70, 0], [14, 0], [0, 0], [0, 0], [0, 38], [0, 0], [0, 0], [0, 26], [-46, 0], [0, 0], [0, -14], [0, 0], [0, 0], [22, 0], [0, 42], [0, 0], [0, 0], [0, 0], [-74, 0], [0, -18], [0, 0], [0, 42], [0, 0], [-58, 0], [0, 0], [0, 0], [0, -2], [0, 0], [-2, 0], [0, -30], [0, -6], [0, 0], [0, -38], [0, 0], [-34, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 26], [0, -34], [62, 0], [0, 0], [0, 0], [0, 38], [0, 0], [0, -42], [0, 0], [-50, 0], [0, 0], [0, 0], [-58, 0], [0, 0], [0, 0], [-26, 0], [0, -6], [0, 0], [70, 0], [0, 26], [0, 0], [74, 0], [82, 0], [0, 0], [0, -30], [0, 0], [0, 0], [0, -42], [0, 0], [34, 0], [0, 14], [-10, 0], [0, -38], [14, 0], [0, 46], [0, 0], [-82, 0], [74, 0], [0, 0], [0, 0], [0, -30], [0, 0], [-86, 0], [0, -38], [0, 0], [82, 0], [0, 0], [0, -50], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [62, 0], [0, 0], [0, -26], [0, 0], [0, 0], [0, -46], [70, 0], [0, 0], [0, 42]], 'char_orbit_index': 8, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 9007680324634928, 'hecke_ring_character_values': [[1471, [-1, 0]], [1765, [1, 0]], [785, [-1, 0]], [2257, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '2352.2.h.c', 'level': 2352, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 9408, 'analytic_conductor': 18.780814555405147, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [2352, 2, [1471, 1765, 785, 2257], [1, 2, 1, 2]], 'conrey_index': 2255, 'cusp_dim': 400, 'dim': 82, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 47], 'hecke_orbit_code': 481069893936, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 16], 'label': '2352.2.h', 'level': 2352, '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, 7], 'level_radical': 42, 'mf_dim': 496, 'mf_new_dim': 82, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 82, 'sturm_bound': 896, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [82, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, -60, 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, 0, -76, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -348, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 130, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -316, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -164, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -276, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -284, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, -382, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 388, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 166, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 348, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, -172, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 924125
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.c.a', 'target_level': 48, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 924126
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.c.a', 'target_level': 48, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 924127
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.c.a', 'target_level': 48, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 924128
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.c.a', 'target_level': 48, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 924129
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.c.a', 'target_level': 192, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 924130
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.c.a', 'target_level': 192, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 924131
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.c.a', 'target_level': 192, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 924132
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.c.a', 'target_level': 192, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 924133
{'conductor': 112, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '768.2.f.d', 'target_level': 768, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 924134
{'conductor': 112, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '768.2.f.d', 'target_level': 768, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 924135
{'conductor': 336, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '768.2.f.d', 'target_level': 768, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '336.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 924136
{'conductor': 336, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '768.2.f.d', 'target_level': 768, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '336.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 924137
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1200.2.h.e', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 924138
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1200.2.h.e', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 924139
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1200.2.h.e', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 924140
{'conductor': 420, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1200.2.h.e', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '420.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 924141
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.o.i', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 924142
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.o.i', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 924143
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.o.i', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 924144
{'conductor': 420, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.o.i', 'target_level': 1200, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '420.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 924145
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1296.2.s.b', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 924146
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1296.2.s.b', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 924147
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1296.2.s.b', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '252.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 924148
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1296.2.s.b', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '252.bi', 'twisting_char_orbit': 35, 'weight': 2}
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id: 924149
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.2.s.e', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 924150
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.2.s.e', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 924151
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.2.s.e', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '252.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 924152
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.2.s.e', 'target_level': 1296, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '252.bi', 'twisting_char_orbit': 35, 'weight': 2}
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id: 924153
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2352.2.h.c', 'target_level': 2352, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 924154
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2352.2.h.c', 'target_level': 2352, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 924155
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2352.2.h.c', 'target_level': 2352, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 924156
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2352.2.h.c', 'source_level': 2352, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2352.2.h.c', 'target_level': 2352, 'twist_class_label': '48.2.c.a', 'twist_class_level': 48, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2597575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 2}
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id: 2597576
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 9007680324634928, 'p': 3}
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id: 2597577
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 5}
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id: 2597578
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 7}
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id: 2597579
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 11}
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id: 2597580
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 13}
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id: 2597581
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 17}
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id: 2597582
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 9007680324634928, 'p': 19}
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id: 2597583
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 23}
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id: 2597584
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 29}
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id: 2597585
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 9007680324634928, 'p': 31}
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id: 2597586
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 37}
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id: 2597587
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 41}
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id: 2597588
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 9007680324634928, 'p': 43}
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id: 2597589
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 47}
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id: 2597590
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 53}
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id: 2597591
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 59}
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id: 2597592
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 61}
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id: 2597593
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 9007680324634928, 'p': 67}
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id: 2597594
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 71}
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id: 2597595
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 73}
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id: 2597596
{'charpoly_factorization': [[[300, 0, 1], 1]], 'hecke_orbit_code': 9007680324634928, 'p': 79}
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id: 2597597
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 83}
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id: 2597598
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 89}
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id: 2597599
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 9007680324634928, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 3, 'label': '2352.2.h.c', 'level': 2352, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31056469
{'hecke_orbit_code': 9007680324634928, 'n': 1, 'trace_an': 2}
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id: 31056470
{'hecke_orbit_code': 9007680324634928, 'n': 2, 'trace_an': 0}
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id: 31056471
{'hecke_orbit_code': 9007680324634928, 'n': 3, 'trace_an': 0}
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id: 31056472
{'hecke_orbit_code': 9007680324634928, 'n': 4, 'trace_an': 0}
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id: 31056473
{'hecke_orbit_code': 9007680324634928, 'n': 5, 'trace_an': 0}
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id: 31056474
{'hecke_orbit_code': 9007680324634928, 'n': 6, 'trace_an': 0}
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id: 31056475
{'hecke_orbit_code': 9007680324634928, 'n': 7, 'trace_an': 0}
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id: 31056476
{'hecke_orbit_code': 9007680324634928, 'n': 8, 'trace_an': 0}
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