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mf_newforms • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, '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': [448, 3, [127, 197, 129], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 65, 'conrey_indexes': [65, 193], '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': [[3, [1, 1, 1]], [5, [1, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416739264, '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, 7, 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': '448.2.i.b', 'level': 448, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '56.2.i.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\zeta_{6})q^{3}-\\zeta_{6}q^{5}+(-1-2\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '448.2.i', 'trace_display': [0, -1, -1, -4], 'trace_hash': 1193401582596206689, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.953', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.334', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.169', 'prec': 17}, {'__RealLiteral__': 0, 'data': '100.018', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [2, 0, -1, 0, -1, 0, -4, 0, 2, 0, 3, 0, 12, 0, 2, 0, 5, 0, 1, 0, 5, 0, 7, 0, 4, 0, -10, 0, -4, 0, 5, 0, 3, 0, -1, 0, 3, 0, -6, 0, -4, 0, 8, 0, 2, 0, -5, 0, 2, 0, 5, 0, -1, 0, -6, 0, -2, 0, 15, 0, -5, 0, 2, 0, -6, 0, -9, 0, -14, 0, 0, 0, -7, 0, 4, 0, -15, 0, -1, 0, -1, 0, -24, 0, -10, 0, 2, 0, -7, 0, -24, 0, 5, 0, 1, 0, -4, 0, 12, 0, 3, 0, 15, 0, -4, 0, 9, 0, -5, 0, -6, 0, -36, 0, 7, 0, 12, 0, -25, 0, 2, 0, 2, 0, -18, 0, 16, 0, -4, 0, 5, 0, 1, 0, 5, 0, -11, 0, 24, 0, 10, 0, 18, 0, 2, 0, -13, 0, -17, 0, 5, 0, 20, 0, -10, 0, -9, 0, -1, 0, 7, 0, 13, 0, 3, 0, -24, 0, 46, 0, -2, 0, -13, 0, -20, 0, 15, 0, -13, 0, 20, 0, 10, 0, 3, 0, -15, 0, 20, 0, 11, 0, -3, 0, 12, 0, 12, 0, 13, 0, -9, 0, 8, 0, 2, 0, -14, 0, 6, 0, 8, 0, 0, 0, -4, 0, -25, 0, -7, 0, 30, 0, -48, 0, 16, 0, 11, 0, 23, 0, 3, 0, -11, 0, -5, 0, 2, 0, 40, 0, 17, 0, -16, 0, 11, 0, 6, 0, 12, 0, -32, 0, 42, 0, 5, 0, 21, 0, 3, 0, -4, 0, 9, 0, 2, 0, 14, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 1], [0, 0], [0, -1], [0, 0], [-1, -2], [0, 0], [0, 2], [0, 0], [3, -3], [0, 0], [6, 0], [0, 0], [1, 0], [0, 0], [5, -5], [0, 0], [0, 1], [0, 0], [3, -1], [0, 0], [0, 7], [0, 0], [4, -4], [0, 0], [-5, 0], [0, 0], [-2, 0], [0, 0], [5, -5], [0, 0], [0, 3], [0, 0], [-2, 3], [0, 0], [0, 3], [0, 0], [-6, 6], [0, 0], [-2, 0], [0, 0], [4, 0], [0, 0], [2, -2], [0, 0], [0, -5], [0, 0], [-3, 8], [0, 0], [0, 5], [0, 0], [-1, 1], [0, 0], [-3, 0], [0, 0], [-1, 0], [0, 0], [15, -15], [0, 0], [0, -5], [0, 0], [4, -6], [0, 0], [0, -6], [0, 0], [-9, 9], [0, 0], [-7, 0], [0, 0], [0, 0], [0, 0], [-7, 7], [0, 0], [0, 4], [0, 0], [-9, 3], [0, 0], [0, -1], [0, 0], [-1, 1], [0, 0], [-12, 0], [0, 0], [-5, 0], [0, 0], [2, -2], [0, 0], [0, -7], [0, 0], [-6, -12], [0, 0], [0, 5], [0, 0], [1, -1], [0, 0], [-2, 0], [0, 0], [6, 0], [0, 0]], 'ap': [[0, 0], [-1, 1], [0, -1], [-1, -2], [3, -3], [6, 0], [5, -5], [0, 1], [0, 7], [-2, 0], [5, -5], [0, 3], [-2, 0], [4, 0], [0, -5], [-1, 1], [15, -15], [0, -5], [-9, 9], [0, 0], [-7, 7], [0, -1], [-12, 0], [0, -7], [-2, 0], [3, -3], [0, 15], [0, 9], [-5, 5], [-18, 0], [8, 0], [0, 5], [-11, 11], [12, 0], [0, -17], [5, -5], [-9, 9], [0, 13], [-12, 0], [0, -13], [-13, 13], [10, 0], [0, 11], [-3, 3], [6, 0], [13, -13], [4, 0], [-24, 0], [11, -11], [0, 23], [0, -11], [20, 0], [17, -17], [-16, 0], [0, 21], [9, -9], [-9, 9], [0, 7], [-17, 17], [6, 0], [-13, 13], [-6, 0], [-4, 0], [-15, 15], [0, 1], [0, 3], [0, 29], [-10, 0], [15, -15], [-2, 0], [-3, 3], [0, -21], [-23, 23], [0, 11], [-24, 0], [0, 3], [-29, 29], [0, -17], [0, -27], [-27, 27], [-20, 0], [-34, 0], [-3, 3], [-2, 0], [0, -21], [0, -31], [-26, 0], [0, 17], [30, 0], [-16, 0], [0, -3], [-31, 31], [-7, 7], [24, 0], [0, -35], [-32, 0], [0, -9], [33, -33], [0, -7], [0, -41], [8, 0], [-5, 5], [-41, 41], [0, 33], [-13, 13], [33, -33], [20, 0], [0, 45], [17, -17], [22, 0], [0, -13], [43, -43], [30, 0], [-9, 9], [-16, 0], [17, -17], [44, 0], [-15, 15], [0, 35], [-44, 0], [23, -23], [-26, 0], [0, 39], [27, -27], [0, 5], [50, 0], [0, -29], [0, 39], [32, 0], [0, 19], [-5, 5], [-16, 0], [0, -53], [-10, 0], [0, -3], [22, 0], [19, -19], [-17, 17], [-18, 0], [-39, 39], [-12, 0], [0, -9], [-47, 47], [36, 0], [11, -11], [-24, 0], [-34, 0], [-39, 39], [0, 1], [0, -17], [0, 23], [-14, 0], [20, 0], [0, 3], [-1, 1], [16, 0], [0, 11], [0, -7], [-6, 0], [-33, 33], [0, 37], [22, 0], [48, 0], [0, -35], [-3, 3], [21, -21], [-15, 15], [-41, 41]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504149416739264, 'hecke_ring_character_values': [[127, [1, 0]], [197, [1, 0]], [129, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '448.2.i.b', 'level': 448, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [448, 3, [127, 197, 129], [3, 3, 1]], 'conrey_index': 65, 'cusp_dim': 104, 'dim': 28, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 549789368768, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '448.2.i', 'level': 448, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 152, 'mf_new_dim': 36, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [0, 0, 2, 0], 'traces': [28, 0, 0, 0, 2, 0, 0, 0, -12, 0, 0, 0, 24, 0, 0, 0, -2, 0, 0, 0, -18, 0, 0, 0, -8, 0, 0, 0, 24, 0, 0, 0, 10, 0, 0, 0, -14, 0, 0, 0, -8, 0, 0, 0, -12, 0, 0, 0, -4, 0, 0, 0, -6, 0, 0, 0, 4, 0, 0, 0, 18, 0, 0, 0, -12, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 14, 0, 0, 0, 10, 0, 0, 0, 36, 0, 0, 0, 14, 0, 0, 0, -18, 0, 0, 0, -40, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, -40, 0, 0, 0, -24, 0, 0, 0, 36, 0, 0, 0, -156, 0, 0, 0, -40, 0, 0, 0, 54, 0, 0, 0, 14, 0, 0, 0, -100, 0, 0, 0, -44, 0, 0, 0, 66, 0, 0, 0, 40, 0, 0, 0, 42, 0, 0, 0, -22, 0, 0, 0, 58, 0, 0, 0, -60, 0, 0, 0, -46, 0, 0, 0, 26, 0, 0, 0, 24, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -8, 0, 0, 0, 10, 0, 0, 0, 36, 0, 0, 0, 68, 0, 0, 0, 48, 0, 0, 0, 90, 0, 0, 0, 108, 0, 0, 0, 96, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 316, 0, 0, 0, 46, 0, 0, 0, -110, 0, 0, 0, -24, 0, 0, 0, 60, 0, 0, 0, -34, 0, 0, 0, -56, 0, 0, 0, -20, 0, 0, 0, -22, 0, 0, 0, -52, 0, 0, 0, -70, 0, 0, 0, -136, 0, 0, 0, 174, 0, 0, 0, 32, 0, 0, 0, -40, 0, 0, 0, 38, 0, 0, 0, 64, 0, 0, 0, 2, 0, 0, 0, -68, 0, 0, 0, -18, 0, 0, 0, -78, 0, 0, 0, 132, 0, 0, 0, -48, 0, 0, 0, -6, 0, 0, 0, -172, 0, 0, 0, 24, 0, 0, 0, -82, 0, 0, 0, -110, 0, 0, 0, -360, 0, 0, 0, 30, 0, 0, 0, -66, 0, 0, 0, -28, 0, 0, 0, -156, 0, 0, 0, 40, 0, 0, 0, 50, 0, 0, 0, -144, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 74, 0, 0, 0, 36, 0, 0, 0, -126, 0, 0, 0, -2, 0, 0, 0, 204, 0, 0, 0, -18, 0, 0, 0, 30, 0, 0, 0, -8, 0, 0, 0, 120, 0, 0, 0, 104, 0, 0, 0, 68, 0, 0, 0, -104, 0, 0, 0, -58, 0, 0, 0, -108, 0, 0, 0, 126, 0, 0, 0, -40, 0, 0, 0, -2, 0, 0, 0, 14, 0, 0, 0, 408, 0, 0, 0, -130, 0, 0, 0, 14, 0, 0, 0, 24, 0, 0, 0, 120, 0, 0, 0, -44, 0, 0, 0, -44, 0, 0, 0, 36, 0, 0, 0, -52, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 204, 0, 0, 0, 130, 0, 0, 0, -78, 0, 0, 0, -228, 0, 0, 0, -66, 0, 0, 0, -40, 0, 0, 0, 92, 0, 0, 0, 176, 0, 0, 0, 58, 0, 0, 0, -94, 0, 0, 0, -212, 0, 0, 0, -44, 0, 0, 0, 74, 0, 0, 0, -230, 0, 0, 0, 116, 0, 0, 0, -44, 0, 0, 0, 78, 0, 0, 0, -740, 0, 0, 0, -114, 0, 0, 0, 96, 0, 0, 0, 8, 0, 0, 0, -276, 0, 0, 0, -66, 0, 0, 0, 30, 0, 0, 0, 56, 0, 0, 0, 4, 0, 0, 0, -180, 0, 0, 0, 138, 0, 0, 0, -72, 0, 0, 0, -178, 0, 0, 0, 38, 0, 0, 0, 196, 0, 0, 0, 104, 0, 0, 0, 120, 0, 0, 0, 46, 0, 0, 0, 336, 0, 0, 0, 26, 0, 0, 0, 146, 0, 0, 0, 104, 0, 0, 0, -38, 0, 0, 0, 314, 0, 0, 0, 320, 0, 0, 0, 24, 0, 0, 0, 162, 0, 0, 0, 26, 0, 0, 0, 644, 0, 0, 0, 68, 0, 0, 0, -32, 0, 0, 0, -68, 0, 0, 0, 248, 0, 0, 0, -94, 0, 0, 0, -14, 0, 0, 0, 148, 0, 0, 0, -48, 0, 0, 0, 74, 0, 0, 0, -48, 0, 0, 0, -228, 0, 0, 0, 274, 0, 0, 0, 170, 0, 0, 0, -344, 0, 0, 0, 50, 0, 0, 0, -10, 0, 0, 0, -120, 0, 0, 0, -264, 0, 0, 0, -66, 0, 0, 0, -244, 0, 0, 0, 216, 0, 0, 0, 138, 0, 0, 0, 32, 0, 0, 0, -240, 0, 0, 0, 204, 0, 0, 0, -114, 0, 0, 0, -172, 0, 0, 0, -488, 0, 0, 0, 268, 0, 0, 0, -186, 0, 0, 0, -34, 0, 0, 0, -260, 0, 0, 0, 72, 0, 0, 0, 66, 0, 0, 0, -176, 0, 0, 0, 90, 0, 0, 0, 174, 0, 0, 0, 98, 0, 0, 0, -124, 0, 0, 0, -146, 0, 0, 0, -86, 0, 0, 0, 376, 0, 0, 0, -162, 0, 0, 0, 60, 0, 0, 0, -30, 0, 0, 0, -132, 0, 0, 0, -24, 0, 0, 0, 194, 0, 0, 0, -72, 0, 0, 0, -118, 0, 0, 0, -416, 0, 0, 0, 214, 0, 0, 0, -168, 0, 0, 0, -10, 0, 0, 0, -76, 0, 0, 0, 888, 0, 0, 0, -184, 0, 0, 0, -58, 0, 0, 0, -56, 0, 0, 0, 144, 0, 0, 0, 110, 0, 0, 0, -50, 0, 0, 0, -168, 0, 0, 0, 42, 0, 0, 0, -146, 0, 0, 0, -52, 0, 0, 0, 184, 0, 0, 0, 260, 0, 0, 0, -84, 0, 0, 0, -540, 0, 0, 0, 18, 0, 0, 0, -96, 0, 0, 0, 30, 0, 0, 0, -264, 0, 0, 0, 36, 0, 0, 0, -136, 0, 0, 0, -28, 0, 0, 0, 122, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 326563
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '56.2.i.b', 'target_level': 56, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 326564
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '56.2.i.b', 'target_level': 56, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 326565
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.2.i.a', 'target_level': 112, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 326566
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.2.i.a', 'target_level': 112, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 326567
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '392.2.a.c', 'target_level': 392, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 326568
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '392.2.a.e', 'target_level': 392, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 326569
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.i.b', 'target_level': 392, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 326570
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.i.b', 'target_level': 392, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 326571
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.i.b', 'target_level': 448, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 326572
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.i.b', 'target_level': 448, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 326573
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.i.d', 'target_level': 448, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 326574
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.i.d', 'target_level': 448, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 326575
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '504.2.s.c', 'target_level': 504, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 326576
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '504.2.s.c', 'target_level': 504, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.s', 'twisting_char_orbit': 19, 'weight': 2}
-
id: 326577
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.2.a.c', 'target_level': 784, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
-
id: 326578
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.a.h', 'target_level': 784, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 326579
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.i.h', 'target_level': 784, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 326580
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.i.h', 'target_level': 784, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 326581
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.s.g', 'target_level': 1008, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326582
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.s.g', 'target_level': 1008, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 326583
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1400.2.q.d', 'target_level': 1400, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326584
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1400.2.q.d', 'target_level': 1400, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '280.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 326585
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1400.2.bh.a', 'target_level': 1400, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 326586
{'conductor': 280, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1400.2.bh.a', 'target_level': 1400, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '280.bt', 'twisting_char_orbit': 46, 'weight': 2}
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id: 326587
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3136.2.a.i', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 326588
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3136.2.a.j', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 326589
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3136.2.a.t', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326590
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '3136.2.a.u', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 326591
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3528.2.a.j', 'target_level': 3528, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 326592
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3528.2.a.p', 'target_level': 3528, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 326593
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3528.2.s.q', 'target_level': 3528, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 326594
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3528.2.s.q', 'target_level': 3528, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 326595
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7056.2.a.u', 'target_level': 7056, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 326596
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7056.2.a.bj', 'target_level': 7056, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 326597
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '9800.2.a.s', 'target_level': 9800, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '280.bk', 'twisting_char_orbit': 37, 'weight': 2}
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id: 326598
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '448.2.i.b', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '9800.2.a.be', 'target_level': 9800, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '280.bf', 'twisting_char_orbit': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 902350
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 2}
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id: 902351
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 3}
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id: 902352
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 5}
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id: 902353
{'charpoly_factorization': [[[7, 4, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 7}
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id: 902354
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 11}
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id: 902355
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 13}
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id: 902356
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 17}
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id: 902357
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 19}
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id: 902358
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 23}
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id: 902359
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 29}
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id: 902360
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 31}
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id: 902361
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 37}
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id: 902362
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 41}
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id: 902363
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 43}
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id: 902364
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 47}
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id: 902365
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 53}
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id: 902366
{'charpoly_factorization': [[[225, -15, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 59}
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id: 902367
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 61}
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id: 902368
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 67}
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id: 902369
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 71}
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id: 902370
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 73}
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id: 902371
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 79}
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id: 902372
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 83}
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id: 902373
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 4504149416739264, 'p': 89}
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id: 902374
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504149416739264, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '448.2.i.b', 'level': 448, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 90156000
{'hecke_orbit_code': 4504149416739264, 'n': 1, 'trace_an': 2}
-
id: 90156001
{'hecke_orbit_code': 4504149416739264, 'n': 2, 'trace_an': 0}
-
id: 90156002
{'hecke_orbit_code': 4504149416739264, 'n': 3, 'trace_an': -1}
-
id: 90156003
{'hecke_orbit_code': 4504149416739264, 'n': 4, 'trace_an': 0}
-
id: 90156004
{'hecke_orbit_code': 4504149416739264, 'n': 5, 'trace_an': -1}
-
id: 90156005
{'hecke_orbit_code': 4504149416739264, 'n': 6, 'trace_an': 0}
-
id: 90156006
{'hecke_orbit_code': 4504149416739264, 'n': 7, 'trace_an': -4}
-
id: 90156007
{'hecke_orbit_code': 4504149416739264, 'n': 8, 'trace_an': 0}
-
id: 90156008
{'hecke_orbit_code': 4504149416739264, 'n': 9, 'trace_an': 2}
-
id: 90156009
{'hecke_orbit_code': 4504149416739264, 'n': 10, 'trace_an': 0}
-
id: 90156010
{'hecke_orbit_code': 4504149416739264, 'n': 11, 'trace_an': 3}
-
id: 90156011
{'hecke_orbit_code': 4504149416739264, 'n': 12, 'trace_an': 0}
-
id: 90156012
{'hecke_orbit_code': 4504149416739264, 'n': 13, 'trace_an': 12}
-
id: 90156013
{'hecke_orbit_code': 4504149416739264, 'n': 14, 'trace_an': 0}
-
id: 90156014
{'hecke_orbit_code': 4504149416739264, 'n': 15, 'trace_an': 2}
-
id: 90156015
{'hecke_orbit_code': 4504149416739264, 'n': 16, 'trace_an': 0}
-
id: 90156016
{'hecke_orbit_code': 4504149416739264, 'n': 17, 'trace_an': 5}
-
id: 90156017
{'hecke_orbit_code': 4504149416739264, 'n': 18, 'trace_an': 0}
-
id: 90156018
{'hecke_orbit_code': 4504149416739264, 'n': 19, 'trace_an': 1}
-
id: 90156019
{'hecke_orbit_code': 4504149416739264, 'n': 20, 'trace_an': 0}
-
id: 90156020
{'hecke_orbit_code': 4504149416739264, 'n': 21, 'trace_an': 5}
-
id: 90156021
{'hecke_orbit_code': 4504149416739264, 'n': 22, 'trace_an': 0}
-
id: 90156022
{'hecke_orbit_code': 4504149416739264, 'n': 23, 'trace_an': 7}
-
id: 90156023
{'hecke_orbit_code': 4504149416739264, 'n': 24, 'trace_an': 0}
-
id: 90156024
{'hecke_orbit_code': 4504149416739264, 'n': 25, 'trace_an': 4}
-
id: 90156025
{'hecke_orbit_code': 4504149416739264, 'n': 26, 'trace_an': 0}
-
id: 90156026
{'hecke_orbit_code': 4504149416739264, 'n': 27, 'trace_an': -10}
-
id: 90156027
{'hecke_orbit_code': 4504149416739264, 'n': 28, 'trace_an': 0}
-
id: 90156028
{'hecke_orbit_code': 4504149416739264, 'n': 29, 'trace_an': -4}
-
id: 90156029
{'hecke_orbit_code': 4504149416739264, 'n': 30, 'trace_an': 0}
-
id: 90156030
{'hecke_orbit_code': 4504149416739264, 'n': 31, 'trace_an': 5}
-
id: 90156031
{'hecke_orbit_code': 4504149416739264, 'n': 32, 'trace_an': 0}
-
id: 90156032
{'hecke_orbit_code': 4504149416739264, 'n': 33, 'trace_an': 3}
-
id: 90156033
{'hecke_orbit_code': 4504149416739264, 'n': 34, 'trace_an': 0}
-
id: 90156034
{'hecke_orbit_code': 4504149416739264, 'n': 35, 'trace_an': -1}
-
id: 90156035
{'hecke_orbit_code': 4504149416739264, 'n': 36, 'trace_an': 0}
-
id: 90156036
{'hecke_orbit_code': 4504149416739264, 'n': 37, 'trace_an': 3}
-
id: 90156037
{'hecke_orbit_code': 4504149416739264, 'n': 38, 'trace_an': 0}
-
id: 90156038
{'hecke_orbit_code': 4504149416739264, 'n': 39, 'trace_an': -6}
-
id: 90156039
{'hecke_orbit_code': 4504149416739264, 'n': 40, 'trace_an': 0}
-
id: 90156040
{'hecke_orbit_code': 4504149416739264, 'n': 41, 'trace_an': -4}
-
id: 90156041
{'hecke_orbit_code': 4504149416739264, 'n': 42, 'trace_an': 0}
-
id: 90156042
{'hecke_orbit_code': 4504149416739264, 'n': 43, 'trace_an': 8}
-
id: 90156043
{'hecke_orbit_code': 4504149416739264, 'n': 44, 'trace_an': 0}
-
id: 90156044
{'hecke_orbit_code': 4504149416739264, 'n': 45, 'trace_an': 2}
-
id: 90156045
{'hecke_orbit_code': 4504149416739264, 'n': 46, 'trace_an': 0}
-
id: 90156046
{'hecke_orbit_code': 4504149416739264, 'n': 47, 'trace_an': -5}
-
id: 90156047
{'hecke_orbit_code': 4504149416739264, 'n': 48, 'trace_an': 0}
-
id: 90156048
{'hecke_orbit_code': 4504149416739264, 'n': 49, 'trace_an': 2}
-
id: 90156049
{'hecke_orbit_code': 4504149416739264, 'n': 50, 'trace_an': 0}
-
id: 90156050
{'hecke_orbit_code': 4504149416739264, 'n': 51, 'trace_an': 5}
-
id: 90156051
{'hecke_orbit_code': 4504149416739264, 'n': 52, 'trace_an': 0}
-
id: 90156052
{'hecke_orbit_code': 4504149416739264, 'n': 53, 'trace_an': -1}
-
id: 90156053
{'hecke_orbit_code': 4504149416739264, 'n': 54, 'trace_an': 0}
-
id: 90156054
{'hecke_orbit_code': 4504149416739264, 'n': 55, 'trace_an': -6}
-
id: 90156055
{'hecke_orbit_code': 4504149416739264, 'n': 56, 'trace_an': 0}
-
id: 90156056
{'hecke_orbit_code': 4504149416739264, 'n': 57, 'trace_an': -2}
-
id: 90156057
{'hecke_orbit_code': 4504149416739264, 'n': 58, 'trace_an': 0}
-
id: 90156058
{'hecke_orbit_code': 4504149416739264, 'n': 59, 'trace_an': 15}
-
id: 90156059
{'hecke_orbit_code': 4504149416739264, 'n': 60, 'trace_an': 0}
-
id: 90156060
{'hecke_orbit_code': 4504149416739264, 'n': 61, 'trace_an': -5}
-
id: 90156061
{'hecke_orbit_code': 4504149416739264, 'n': 62, 'trace_an': 0}
-
id: 90156062
{'hecke_orbit_code': 4504149416739264, 'n': 63, 'trace_an': 2}
-
id: 90156063
{'hecke_orbit_code': 4504149416739264, 'n': 64, 'trace_an': 0}
-
id: 90156064
{'hecke_orbit_code': 4504149416739264, 'n': 65, 'trace_an': -6}
-
id: 90156065
{'hecke_orbit_code': 4504149416739264, 'n': 66, 'trace_an': 0}
-
id: 90156066
{'hecke_orbit_code': 4504149416739264, 'n': 67, 'trace_an': -9}
-
id: 90156067
{'hecke_orbit_code': 4504149416739264, 'n': 68, 'trace_an': 0}
-
id: 90156068
{'hecke_orbit_code': 4504149416739264, 'n': 69, 'trace_an': -14}
-
id: 90156069
{'hecke_orbit_code': 4504149416739264, 'n': 70, 'trace_an': 0}
-
id: 90156070
{'hecke_orbit_code': 4504149416739264, 'n': 71, 'trace_an': 0}
-
id: 90156071
{'hecke_orbit_code': 4504149416739264, 'n': 72, 'trace_an': 0}
-
id: 90156072
{'hecke_orbit_code': 4504149416739264, 'n': 73, 'trace_an': -7}
-
id: 90156073
{'hecke_orbit_code': 4504149416739264, 'n': 74, 'trace_an': 0}
-
id: 90156074
{'hecke_orbit_code': 4504149416739264, 'n': 75, 'trace_an': 4}
-
id: 90156075
{'hecke_orbit_code': 4504149416739264, 'n': 76, 'trace_an': 0}
-
id: 90156076
{'hecke_orbit_code': 4504149416739264, 'n': 77, 'trace_an': -15}
-
id: 90156077
{'hecke_orbit_code': 4504149416739264, 'n': 78, 'trace_an': 0}
-
id: 90156078
{'hecke_orbit_code': 4504149416739264, 'n': 79, 'trace_an': -1}
-
id: 90156079
{'hecke_orbit_code': 4504149416739264, 'n': 80, 'trace_an': 0}
-
id: 90156080
{'hecke_orbit_code': 4504149416739264, 'n': 81, 'trace_an': -1}
-
id: 90156081
{'hecke_orbit_code': 4504149416739264, 'n': 82, 'trace_an': 0}
-
id: 90156082
{'hecke_orbit_code': 4504149416739264, 'n': 83, 'trace_an': -24}
-
id: 90156083
{'hecke_orbit_code': 4504149416739264, 'n': 84, 'trace_an': 0}
-
id: 90156084
{'hecke_orbit_code': 4504149416739264, 'n': 85, 'trace_an': -10}
-
id: 90156085
{'hecke_orbit_code': 4504149416739264, 'n': 86, 'trace_an': 0}
-
id: 90156086
{'hecke_orbit_code': 4504149416739264, 'n': 87, 'trace_an': 2}
-
id: 90156087
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