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mf_newforms • Show schema
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{'Nk2': 13824, 'analytic_conductor': 27.5962989385545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [3456, 3, [2431, 2053, 2945], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 1153, 'conrey_indexes': [1153, 2305], 'dim': 12, 'field_disc': 3163120414331387904, 'field_disc_factorization': [[2, 14], [3, 8], [171539, 2]], 'field_poly': [729, -486, 243, -216, 198, -126, 51, -42, 22, -8, 3, -2, 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, [2304, -4224, 9424, -1720, 4665, 1674, 2928, 948, 465, 60, 24, 2, 1]], [7, [394384, -324048, 294516, -117452, 67353, -21192, 10164, -2400, 861, -152, 48, -6, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532946435706240, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 81, 'hecke_ring_index_factorization': [[3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3456.2.i.j', 'level': 3456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1152.2.i.i', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{6}q^{5}+(1-\\beta _{7}-\\beta _{10})q^{7}+(1-\\beta _{7}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3456.2.i', 'trace_display': [0, 0, -2, 6], 'trace_hash': 1287876554836551463, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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0, 0, 0, -7, 11, -4, -2, -5, 3], [-14, 0, 4, -8, 4, -4, 0, 0, 0, 0, 0, 0], [0, 2, 0, -3, 2, 0, 2, 7, 0, 2, -3, -2], [0, -9, 1, 3, -2, -6, 0, 0, 0, 0, 0, 0], [0, 7, 0, 3, -2, 6, 1, -19, 6, 7, 3, 2], [-17, 0, 6, 0, 0, 0, 6, 17, 2, -10, -15, 8], [20, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0], [0, -4, 0, -4, -2, 3, 2, 29, 3, -4, -4, 2], [0, -3, 0, 2, -6, -4, 3, -1, -4, -3, 2, 6], [28, -2, -10, -6, -2, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 4, 8, -8, -2, 8, 1, 1, -4], [11, -4, -6, -9, -1, 1, 0, 0, 0, 0, 0, 0], [0, -4, 0, 10, 3, -1, -7, 3, -1, -4, 10, -3], [6, 0, 5, 0, 0, 0, 5, -6, -7, -1, -4, 1], [-2, 0, 9, 0, 0, 0, 9, 2, 6, -2, 0, 2], [2, -7, 2, -7, -9, -6, 0, 0, 0, 0, 0, 0], [-30, 5, 5, 9, 6, -2, 0, 0, 0, 0, 0, 0], [-7, 0, -5, 0, 0, 0, -5, 7, -2, -11, -8, 8], [10, -2, 2, 2, 10, -6, 0, 0, 0, 0, 0, 0], [1, 2, -10, -3, -7, 7, 0, 0, 0, 0, 0, 0], [-29, 0, -3, 0, 0, 0, -3, 29, 3, 4, 8, 1], [47, 0, -3, 0, 0, 0, -3, -47, 0, 0, 1, -3], [0, -2, 0, 0, -4, 0, -7, 6, 0, -2, 0, 4], [-6, -3, -1, -1, -2, 6, 0, 0, 0, 0, 0, 0], [0, -8, 0, -5, 1, 3, -8, -2, 3, -8, -5, -1], [-11, 0, 2, 0, 0, 0, 2, 11, 1, -4, 0, 0], [28, -3, -5, -7, -8, 0, 0, 0, 0, 0, 0, 0], [5, 0, 4, 0, 0, 0, 4, -5, 10, -4, 8, 4], [0, 2, 0, 2, 2, 1, 4, 9, 1, 2, 2, -2], [0, -5, 0, -3, 4, 4, 0, 8, 4, -5, -3, -4], [0, -3, 0, 3, 4, 0, -10, 30, 0, -3, 3, -4], [-6, -10, -10, -10, -8, 0, 0, 0, 0, 0, 0, 0], [17, 0, 0, 0, 0, 0, 0, -17, 2, 0, 2, 4], [0, 4, 0, 1, 2, 2, 10, -13, 2, 4, 1, -2], [0, -3, 0, -11, -8, 4, 9, 9, 4, -3, -11, 8], [-20, 8, -8, 4, -8, 4, 0, 0, 0, 0, 0, 0], [0, -7, 0, 1, 1, 1, 4, -3, 1, -7, 1, -1], [24, 0, -6, 0, 0, 0, -6, -24, -6, 3, 7, 2], [-11, -2, 2, -1, 3, -5, 0, 0, 0, 0, 0, 0], [-5, 0, -10, 0, 0, 0, -10, 5, -1, 2, 14, -4], [0, 0, 0, -1, -6, -2, -6, 17, -2, 0, -1, 6], [0, 2, 0, 7, 6, 2, -6, -5, 2, 2, 7, -6], [9, 0, -9, 0, 0, 0, -9, -9, -5, -6, 8, -1], [6, 0, 5, 0, 0, 0, 5, -6, 2, 0, 6, -6], [0, 2, 0, 1, 1, 12, -5, 3, 12, 2, 1, -1], [-22, 2, 3, -1, 3, 3, 0, 0, 0, 0, 0, 0], [-12, -3, 1, 5, -6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 12, 4, 4, 3, 18, 4, 6, 12, -4], [21, 0, 2, 0, 0, 0, 2, -21, -2, 2, -5, 4], [9, 13, -13, 8, 5, -1, 0, 0, 0, 0, 0, 0], [-6, 0, 4, 0, 0, 0, 4, 6, -8, -1, -7, 12], [-20, 3, 8, 11, 1, -2, 0, 0, 0, 0, 0, 0], [0, -4, 0, -2, 0, -2, -12, 3, -2, -4, -2, 0], [0, -6, 0, -6, -4, -1, 2, -31, -1, -6, -6, 4], [20, 0, -3, 0, 0, 0, -3, -20, -8, 0, 4, -4], [0, -6, 0, -4, 8, -4, -7, 20, -4, -6, -4, -8], [11, 0, -9, 0, 0, 0, -9, -11, -11, -2, -4, -7], [10, 0, 6, 0, 0, 0, 6, -10, -2, 1, 11, -2], [10, -2, 8, -2, -8, -8, 0, 0, 0, 0, 0, 0], [-7, 0, 6, 0, 0, 0, 6, 7, -5, -7, -15, 5], [0, 0, 0, 0, -2, 6, 4, 17, 6, 0, 0, 2], [14, 7, -5, 11, 8, 8, 0, 0, 0, 0, 0, 0], [32, -2, -2, -6, 0, 0, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 9, 'field_poly': [729, -486, 243, -216, 198, -126, 51, -42, 22, -8, 3, -2, 1], 'hecke_orbit_code': 40532946435706240, 'hecke_ring_character_values': [[2431, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2053, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2945, [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 486, 162, 486, 486, 81, 486, 486, 486, 486, 486, 486], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1], [0, 1, 0, 0, 1, 1, -1, -1, 2, 1, 1, 0], [7, -2, -1, -4, 0, 1, -1, -4, -1, 0, -3, 1], [-7, 1, -5, -2, 1, 3, 4, 1, 0, -2, 0, 0], [3, -1, 6, -3, 5, 2, -2, 7, 1, -4, 8, -6], [35, 11, -5, 1, 6, -4, -8, -14, -20, 0, -6, -4], [46, 29, -34, 23, 5, 3, 2, 23, 9, 14, 30, -6], [72, -5, 45, -6, 13, -5, 14, 113, 14, -2, -8, 30], [1, 58, -4, 5, 63, -2, 5, -160, -13, 30, -69, 37], [263, -44, -167, -95, 37, 63, -83, -257, 126, -5, 45, -48], [351, -175, 81, -267, -25, 152, 139, 121, -56, -256, -277, 105]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-972, 1701, -27, 117, -270, 141, -3, 25, -26, -3, 1, 1], [-162, 135, -54, 81, -108, 51, -24, 13, -8, 3, -2, 1], [1458, -1620, 567, -630, 252, -240, 63, -34, 20, 0, -1, 2], [2430, -1377, 621, -549, 720, -195, 123, -109, 56, -3, 5, -7], [81, -216, 162, 9, 18, -15, 0, 4, -2, 0, -2, 1], [5346, 0, 540, -315, 810, -120, 42, -131, 16, -12, -2, -11], [4374, -567, 1404, -693, 954, -327, 192, -179, 52, -33, 4, -11], [7290, -81, 2025, -1233, 1314, -453, 243, -287, 64, -45, 13, -17], [12393, -1458, 3375, -1089, 2313, -708, 357, -421, 95, -66, -1, -31], [-19197, 2025, -5589, 2925, -3735, 1311, -729, 745, -173, 117, -17, 43], [-27945, 2349, -7506, 3816, -5229, 1617, -960, 1030, -215, 165, -20, 64]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '3456.2.i.j', 'level': 3456, 'maxp': 1999, 'weight': 2}
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{'Nk2': 13824, 'analytic_conductor': 27.5962989385545, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [3456, 3, [2431, 2053, 2945], [3, 3, 2]], 'conrey_index': 1153, 'cusp_dim': 1056, 'dim': 96, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 549789371776, 'hecke_orbit_dims': [2, 2, 2, 2, 10, 10, 10, 10, 12, 12, 12, 12], 'label': '3456.2.i', 'level': 3456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 1248, 'mf_new_dim': 96, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1100740
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1152.2.i.i', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1100741
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1152.2.i.i', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1100742
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1152.2.i.j', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1100743
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1152.2.i.j', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1100744
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1152.2.i.k', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1100745
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1152.2.i.k', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1100746
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1152.2.i.l', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1100747
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1152.2.i.l', 'target_level': 1152, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1100748
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3456.2.i.i', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1100749
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3456.2.i.i', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1100750
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3456.2.i.j', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1100751
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3456.2.i.j', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1100752
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3456.2.i.k', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1100753
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3456.2.i.k', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1100754
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3456.2.i.l', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1100755
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '3456.2.i.j', 'source_level': 3456, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3456.2.i.l', 'target_level': 3456, 'twist_class_label': '1152.2.i.i', 'twist_class_level': 1152, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3187225
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 40532946435706240, 'p': 2}
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id: 3187226
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 40532946435706240, 'p': 3}
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id: 3187227
{'charpoly_factorization': [[[2304, -4224, 9424, -1720, 4665, 1674, 2928, 948, 465, 60, 24, 2, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 5}
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id: 3187228
{'charpoly_factorization': [[[394384, -324048, 294516, -117452, 67353, -21192, 10164, -2400, 861, -152, 48, -6, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 7}
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id: 3187229
{'charpoly_factorization': [[[229441, -288358, 330311, -161042, 95190, -30798, 16503, -3972, 1398, -128, 47, -4, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 11}
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id: 3187230
{'charpoly_factorization': [[[6533136, 1216656, 2437516, 1295668, 927657, 322086, 104988, 20448, 4269, 588, 108, 10, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 13}
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id: 3187231
{'charpoly_factorization': [[[1812, 3652, 1424, -176, -83, 2, 1], 2]], 'hecke_orbit_code': 40532946435706240, 'p': 17}
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id: 3187232
{'charpoly_factorization': [[[-3408, 448, 1160, -80, -65, 2, 1], 2]], 'hecke_orbit_code': 40532946435706240, 'p': 19}
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id: 3187233
{'charpoly_factorization': [[[204304, 2778896, 37480148, 4772236, 3584841, 440466, 244716, 26772, 7377, 484, 128, 8, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 23}
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id: 3187234
{'charpoly_factorization': [[[229704336, -4183056, 32858604, -1767348, 3426993, -152658, 156912, -1824, 5049, -12, 88, 2, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 29}
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id: 3187235
{'charpoly_factorization': [[[1021953024, -495631872, 228769632, -52045488, 13689369, -2224782, 493116, -61968, 10629, -876, 136, -8, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 31}
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id: 3187236
{'charpoly_factorization': [[[-128, 1728, 876, -68, -60, 0, 1], 2]], 'hecke_orbit_code': 40532946435706240, 'p': 37}
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id: 3187237
{'charpoly_factorization': [[[2259009, 2065122, 2667933, 80478, 510354, -82566, 105981, -20682, 6570, -366, 85, -2, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 41}
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id: 3187238
{'charpoly_factorization': [[[16621929, 27837756, 56418615, -14401800, 7050474, -752652, 276603, -21570, 7890, -294, 103, -2, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 43}
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id: 3187239
{'charpoly_factorization': [[[2178576, -5957136, 16361620, -1703324, 2631105, -213660, 360204, -18288, 9465, -1008, 216, -14, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 47}
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id: 3187240
{'charpoly_factorization': [[[1728, -1440, -852, 516, -24, -12, 1], 2]], 'hecke_orbit_code': 40532946435706240, 'p': 53}
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id: 3187241
{'charpoly_factorization': [[[4100737369, 617828976, 445991811, 19319756, 27186894, 898488, 878379, -19926, 16110, -322, 171, -6, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 59}
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id: 3187242
{'charpoly_factorization': [[[60715264, -44071552, 32605904, -7501016, 2859633, -104130, 165648, 5484, 7077, 964, 200, 14, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 61}
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id: 3187243
{'charpoly_factorization': [[[3020711521, 277553050, 682121567, -149369170, 125064942, -12391614, 3517287, 99444, 52302, 632, 263, 4, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 67}
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id: 3187244
{'charpoly_factorization': [[[1728, -3744, -4716, 1608, -72, -14, 1], 2]], 'hecke_orbit_code': 40532946435706240, 'p': 71}
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id: 3187245
{'charpoly_factorization': [[[39892, 6612, -7884, 488, 225, -30, 1], 2]], 'hecke_orbit_code': 40532946435706240, 'p': 73}
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id: 3187246
{'charpoly_factorization': [[[674337024, -939626112, 891690448, -449230360, 164418801, -35734362, 5956416, -652080, 61569, -4020, 324, -16, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 79}
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id: 3187247
{'charpoly_factorization': [[[734843664, -354247344, 245346732, -40494492, 24855345, -3431790, 1844226, -85896, 38355, -3828, 534, -24, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 83}
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id: 3187248
{'charpoly_factorization': [[[-2864, 7776, -3324, 68, 156, -24, 1], 2]], 'hecke_orbit_code': 40532946435706240, 'p': 89}
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id: 3187249
{'charpoly_factorization': [[[78140934369, 46797289170, 25477010197, 3355901918, 696053802, 52089210, 11046045, 674454, 90978, 3282, 429, 14, 1], 1]], 'hecke_orbit_code': 40532946435706240, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 10, 'label': '3456.2.i.j', 'level': 3456, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 209201000
{'hecke_orbit_code': 40532946435706240, 'n': 1, 'trace_an': 12}
-
id: 209201001
{'hecke_orbit_code': 40532946435706240, 'n': 2, 'trace_an': 0}
-
id: 209201002
{'hecke_orbit_code': 40532946435706240, 'n': 3, 'trace_an': 0}
-
id: 209201003
{'hecke_orbit_code': 40532946435706240, 'n': 4, 'trace_an': 0}
-
id: 209201004
{'hecke_orbit_code': 40532946435706240, 'n': 5, 'trace_an': -2}
-
id: 209201005
{'hecke_orbit_code': 40532946435706240, 'n': 6, 'trace_an': 0}
-
id: 209201006
{'hecke_orbit_code': 40532946435706240, 'n': 7, 'trace_an': 6}
-
id: 209201007
{'hecke_orbit_code': 40532946435706240, 'n': 8, 'trace_an': 0}
-
id: 209201008
{'hecke_orbit_code': 40532946435706240, 'n': 9, 'trace_an': 0}
-
id: 209201009
{'hecke_orbit_code': 40532946435706240, 'n': 10, 'trace_an': 0}
-
id: 209201010
{'hecke_orbit_code': 40532946435706240, 'n': 11, 'trace_an': 4}
-
id: 209201011
{'hecke_orbit_code': 40532946435706240, 'n': 12, 'trace_an': 0}
-
id: 209201012
{'hecke_orbit_code': 40532946435706240, 'n': 13, 'trace_an': -10}
-
id: 209201013
{'hecke_orbit_code': 40532946435706240, 'n': 14, 'trace_an': 0}
-
id: 209201014
{'hecke_orbit_code': 40532946435706240, 'n': 15, 'trace_an': 0}
-
id: 209201015
{'hecke_orbit_code': 40532946435706240, 'n': 16, 'trace_an': 0}
-
id: 209201016
{'hecke_orbit_code': 40532946435706240, 'n': 17, 'trace_an': -4}
-
id: 209201017
{'hecke_orbit_code': 40532946435706240, 'n': 18, 'trace_an': 0}
-
id: 209201018
{'hecke_orbit_code': 40532946435706240, 'n': 19, 'trace_an': -4}
-
id: 209201019
{'hecke_orbit_code': 40532946435706240, 'n': 20, 'trace_an': 0}
-
id: 209201020
{'hecke_orbit_code': 40532946435706240, 'n': 21, 'trace_an': 0}
-
id: 209201021
{'hecke_orbit_code': 40532946435706240, 'n': 22, 'trace_an': 0}
-
id: 209201022
{'hecke_orbit_code': 40532946435706240, 'n': 23, 'trace_an': -8}
-
id: 209201023
{'hecke_orbit_code': 40532946435706240, 'n': 24, 'trace_an': 0}
-
id: 209201024
{'hecke_orbit_code': 40532946435706240, 'n': 25, 'trace_an': -14}
-
id: 209201025
{'hecke_orbit_code': 40532946435706240, 'n': 26, 'trace_an': 0}
-
id: 209201026
{'hecke_orbit_code': 40532946435706240, 'n': 27, 'trace_an': 0}
-
id: 209201027
{'hecke_orbit_code': 40532946435706240, 'n': 28, 'trace_an': 0}
-
id: 209201028
{'hecke_orbit_code': 40532946435706240, 'n': 29, 'trace_an': -2}
-
id: 209201029
{'hecke_orbit_code': 40532946435706240, 'n': 30, 'trace_an': 0}
-
id: 209201030
{'hecke_orbit_code': 40532946435706240, 'n': 31, 'trace_an': 8}
-
id: 209201031
{'hecke_orbit_code': 40532946435706240, 'n': 32, 'trace_an': 0}
-
id: 209201032
{'hecke_orbit_code': 40532946435706240, 'n': 33, 'trace_an': 0}
-
id: 209201033
{'hecke_orbit_code': 40532946435706240, 'n': 34, 'trace_an': 0}
-
id: 209201034
{'hecke_orbit_code': 40532946435706240, 'n': 35, 'trace_an': 8}
-
id: 209201035
{'hecke_orbit_code': 40532946435706240, 'n': 36, 'trace_an': 0}
-
id: 209201036
{'hecke_orbit_code': 40532946435706240, 'n': 37, 'trace_an': 0}
-
id: 209201037
{'hecke_orbit_code': 40532946435706240, 'n': 38, 'trace_an': 0}
-
id: 209201038
{'hecke_orbit_code': 40532946435706240, 'n': 39, 'trace_an': 0}
-
id: 209201039
{'hecke_orbit_code': 40532946435706240, 'n': 40, 'trace_an': 0}
-
id: 209201040
{'hecke_orbit_code': 40532946435706240, 'n': 41, 'trace_an': 2}
-
id: 209201041
{'hecke_orbit_code': 40532946435706240, 'n': 42, 'trace_an': 0}
-
id: 209201042
{'hecke_orbit_code': 40532946435706240, 'n': 43, 'trace_an': 2}
-
id: 209201043
{'hecke_orbit_code': 40532946435706240, 'n': 44, 'trace_an': 0}
-
id: 209201044
{'hecke_orbit_code': 40532946435706240, 'n': 45, 'trace_an': 0}
-
id: 209201045
{'hecke_orbit_code': 40532946435706240, 'n': 46, 'trace_an': 0}
-
id: 209201046
{'hecke_orbit_code': 40532946435706240, 'n': 47, 'trace_an': 14}
-
id: 209201047
{'hecke_orbit_code': 40532946435706240, 'n': 48, 'trace_an': 0}
-
id: 209201048
{'hecke_orbit_code': 40532946435706240, 'n': 49, 'trace_an': -18}
-
id: 209201049
{'hecke_orbit_code': 40532946435706240, 'n': 50, 'trace_an': 0}
-
id: 209201050
{'hecke_orbit_code': 40532946435706240, 'n': 51, 'trace_an': 0}
-
id: 209201051
{'hecke_orbit_code': 40532946435706240, 'n': 52, 'trace_an': 0}
-
id: 209201052
{'hecke_orbit_code': 40532946435706240, 'n': 53, 'trace_an': 24}
-
id: 209201053
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