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{'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [19, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -2, 1]], [7, [2, 4, 1]], [11, [-2, 0, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463080115, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4275.2.a.x', 'level': 4275, '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': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.a.f', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{2}+(1+2\\beta )q^{4}+(-2-\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4275.2.a', 'trace_display': [2, 0, 0, -4], 'trace_hash': 848105494042537720, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.886', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [0, 0], [1, 2], [0, 0], [0, 0], [-2, -1], [3, 1], [0, 0], [0, 0], [0, 1], [0, 0], [-4, 1], [-4, -3], [0, 0], [3, 0], [-4, -2], [0, 0], [1, 0], [0, 0], [0, 0], [2, 1], [2, -4], [0, 0], [0, 0], [-2, -3], [0, 0], [-6, -5], [2, -5], [0, 0], [-2, -6], [-3, 1], [0, 0], [-8, -6], [0, 0], [0, 0], [-4, 5], [1, 1], [0, 0], [0, 0], [6, -1], [0, 0], [-2, -1], [4, 1], [0, 0], [-6, -2], [6, 4], [0, 0], [-1, 4], [0, 0], [0, 0], [0, -7], [4, 0], [0, 0], [0, 0], [-8, -5], [0, 0], [-8, -3], [0, 6], [0, 0], [0, -4], [-14, -8], [0, 0], [-7, -2], [0, 0], [0, 0], [-12, 0], [-12, -10], [0, 0], [0, 0], [-4, -6], [0, 0], [2, 0], [6, 1], [0, 0], [1, 2], [-2, -2], [0, 0], [0, 8], [0, 0], [0, 0], [4, 5], [-2, 6], [0, 0], [0, 0], [-4, -3], [0, 0], [2, 3], [2, 9], [0, 0], [6, 2], [-14, 0], [0, 0], [14, 10], [0, 0], [0, 0], [0, -3], [7, 3], [0, 0], [0, 0]], 'ap': [[1, 1], [0, 0], [0, 0], [-2, -1], [0, 1], [-4, 1], [-4, -2], [1, 0], [2, -4], [2, -5], [-2, -6], [-4, 5], [6, -1], [-2, -1], [6, 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[0, -30], [20, 0], [10, -6], [-12, 7], [-28, 12], [0, -4], [8, 22], [6, 4], [-24, 8], [32, 11], [6, 1], [-10, -8], [-4, 4], [-4, 8], [-6, 22], [-14, 2], [-18, -20], [-30, 4], [-16, 12], [12, 18], [8, -2], [-38, 8], [-4, 8], [-26, 18], [-10, -9], [26, -16], [-30, 6], [4, 22], [18, 6], [4, -24], [-8, -24], [-20, 8], [-8, 7], [22, -18], [-14, 23], [-8, 0], [-24, 10], [12, -8], [-12, 0], [26, -18], [-18, -26], [2, -11], [10, -2], [-20, -10], [18, -7], [-12, 4], [0, -28], [-2, -24], [-56, 4], [42, -6], [-26, 20], [-22, 4], [36, -14], [-58, 0], [-20, 23], [-10, 4], [-24, 24], [-22, -2], [8, -22], [-10, 18], [-12, -30], [50, 0], [54, -3], [-4, 24], [44, -13], [0, 6], [14, 20], [-22, 12], [-8, -15], [44, 6], [30, -2], [40, -7], [-28, 25], [-2, 36], [12, 4], [-26, -11], [22, 20], [-36, -6], [16, 0], [-6, -16], [8, 18], [-54, -8], [22, -23], [16, 0], [-4, -25], [18, -16], [20, -19], [-36, 22], [0, -20], [26, -12], [-46, 6], [28, 0], [-26, -22], [14, -2], [-6, 23], [-2, 16], [-32, 2], [38, 10], [-6, -13], [-2, 7], [-14, 16], [-8, 14], [18, -12], [18, 6], [-38, 9], [-30, 17], [22, 4], [-22, 16], [16, -18], [12, 10], [4, 20], [28, -11], [22, 10], [-18, -22], [-24, 4], [-14, -23], [-10, -11], [38, 0], [-4, -36], [6, 12], [-28, 13], [24, -10], [32, 32], [-28, -20], [-30, -33], [-14, -38], [-12, 28], [-28, -23], [-46, -19], [-12, -20], [-18, 2], [46, -2], [26, 22], [22, 4], [26, -10], [54, 14], [32, 2], [48, 19], [-12, 36], [24, -8], [16, -8], [14, 12], [-12, 0], [44, -20], [-14, 8], [-24, -5], [-16, 34], [6, 22], [14, -15], [50, 18], [4, -12], [-64, -6], [22, -36], [12, 0], [-34, -18], [-16, 2], [-8, 31], [-30, 21], [-26, 2], [-58, 6], [10, -30], [-16, 23], [20, -12], [-12, -12], [34, -24], [46, 0], [-30, 9], [-44, 17], [-18, -16], [-36, 28], [16, 12], [-54, -1], [-66, 2], [-18, 22], [56, 8], [4, -50], [-16, -35], [-42, -18], [-16, -4], [-12, -54], [16, 0], [-2, 1], [34, 16], [28, -12], [52, 16], [26, 20], [60, 2], [8, -21], [-28, -36], [10, 20], [-20, -11], [26, 10], [-14, 40], [-34, -12], [58, -3], [-20, -14], [-2, -6], [10, -16], [-4, -11], [8, 12], [-42, 18], [-10, -8], [-2, 14], [2, -26], [30, 9], [-20, 42], [44, -2], [2, 24], [-36, 12], [-60, 14], [-42, 20], [-4, -46], [-14, 40], [-36, -40], [12, -22], [-54, -18], [-4, 18], [-26, 10], [-22, 8], [24, -20], [-24, 16], [-54, -5], [8, -17], [-26, 16], [-2, -7], [70, 6], [44, 24], [40, -24], [-8, 60], [0, 28], [-12, 24], [6, 32], [58, 14], [12, 23], [30, -22], [12, 10], [-30, -26], [48, 0], [36, 9], [-20, -23], [-48, 10], [28, 16], [58, 16], [-6, 0], [-36, -36], [-40, -34], [-14, -41], [16, -3], [10, 20], [-16, 42], [22, -42], [24, 37], [12, 40], [-66, 6], [-26, -3], [-4, 40], [-42, -6], [32, 0], [88, 9], [-2, 44], [26, 50], [-32, -25], [-10, 57], [-8, -14], [-2, -39], [-46, 20], [-26, -14], [-70, -12], [-56, 10], [-2, 4], [-50, -23], [58, 20], [-18, 26], [-4, 4], [-24, 45], [-66, 13], [20, 38], [28, -31], [38, -10], [-22, -13], [2, -30], [58, -4], [-38, -4], [48, 10], [-16, 22], [60, -6], [-2, 11], [-12, -32], [-38, -22], [50, 3], [20, 10], [-8, 5], [-12, -11], [52, 6], [76, -12], [24, -14], [-38, -4], [-98, 0], [16, 16], [-28, 36], [-2, -24], [-20, -16], [-38, 23], [40, -5], [18, 8], [16, 52], [8, 3], [-24, -50], [8, -48], [-10, 24], [16, -6], [-48, 17]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 103582791463080115, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4275.2.a.x', 'level': 4275, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 18, 10, 21, 19, 21, 25], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [55, 62, 56, 60, 57, 47, 49, 49], 'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 142, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558707, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 7, 7, 12], 'label': '4275.2.a', 'level': 4275, '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': [3, 5, 19], 'level_radical': 285, 'mf_dim': 624, 'mf_new_dim': 142, 'num_forms': 50, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 142, 'sturm_bound': 1200, 'trace_bound': 13, 'trace_display': [1, 0, 0, 5], 'traces': [142, 1, 0, 143, 0, 0, 5, -3, 0, 0, 13, 0, -2, -12, 0, 145, -11, 0, -2, 0, 0, 4, -8, 0, 0, 6, 0, 18, 32, 0, 0, 5, 0, 18, 0, 0, -12, -3, 0, 0, 0, 0, 13, 66, 0, 36, -1, 0, 145, 0, 0, 14, 26, 0, 0, 8, 0, 10, -18, 0, -9, 8, 0, 185, 0, 0, 12, -52, 0, 0, -42, 0, 1, 62, 0, -5, -41, 0, 8, 0, 0, 38, 16, 0, 0, 4, 0, -32, -2, 0, -16, 40, 0, -32, 0, 0, -6, 5, 0, 0, 28, 0, -34, 18, 0, 6, 34, 0, 38, 0, 0, 88, 20, 0, 0, 142, 0, 20, -11, 0, 213, 26, 0, -76, 0, 0, 46, -59, 0, 0, 3, 0, 1, 8, 0, 106, 29, 0, 9, 0, 0, 48, 36, 0, 0, -102, 0, -34, 57, 0, -74, -3, 0, -20, 0, 0, 36, 40, 0, 0, 0, 0, 28, -134, 0, -108, 2, 0, 170, 0, 0, 78, -24, 0, 0, 228, 0, -66, 38, 0, 56, 64, 0, 136, 0, 0, -15, 90, 0, 0, 69, 0, 14, 26, 0, 245, -56, 0, -35, 0, 0, 42, 14, 0, 0, -36, 0, -22, 25, 0, 126, 86, 0, -140, 0, 0, 44, -74, 0, 0, -56, 0, 34, 132, 0, 166, 0, 0, -71, 0, 0, 18, -81, 0, 0, 8, 0, -88, -19, 0, -28, 137, 0, -92, 0, 0, 2, -16, 0, 0, 75, 0, -20, -8, 0, -35, -74, 0, 62, 0, 0, 52, -29, 0, 0, 24, 0, 16, -106, 0, -92, -130, 0, -222, 0, 0, -3, 80, 0, 0, -12, 0, -71, -152, 0, -100, 38, 0, 221, 0, 0, 60, -18, 0, 0, 74, 0, -166, -40, 0, -85, -40, 0, -35, 0, 0, -36, -262, 0, 0, -177, 0, 16, 6, 0, 4, -68, 0, -38, 0, 0, 40, -15, 0, 0, -68, 0, 86, 17, 0, -124, 92, 0, -136, 0, 0, -138, 103, 0, 0, -120, 0, -5, 216, 0, 42, 99, 0, -115, 0, 0, 204, -116, 0, 0, 154, 0, -116, 177, 0, 142, -106, 0, 200, 0, 0, 12, 200, 0, 0, -72, 0, -86, 144, 0, -92, 36, 0, -14, 0, 0, 88, 4, 0, 0, 126, 0, -138, -53, 0, -4, 53, 0, 186, 0, 0, -43, 116, 0, 0, 230, 0, 184, -26, 0, 60, -110, 0, 182, 0, 0, -40, -82, 0, 0, 26, 0, 28, -44, 0, -122, 132, 0, -70, 0, 0, -45, 244, 0, 0, 60, 0, -4, -240, 0, 190, -16, 0, 18, 0, 0, -44, 163, 0, 0, 88, 0, 172, -34, 0, -42, -70, 0, -132, 0, 0, 23, -70, 0, 0, 9, 0, 15, 246, 0, 286, 67, 0, 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-226, 256, 0, 0, 148, 0, -136, -127, 0, -222, 1, 0, -210, 0, 0, -37, 304, 0, 0, 121, 0, 88, 0, 0, -92, 96, 0, 137, 0, 0, -8, -88, 0, 0, -138, 0, -42, 102, 0, 180, 188, 0, -204, 0, 0, 43, 68, 0, 0, 309, 0, 88, -234, 0, -340, -128, 0, -173, 0, 0, -98, -40, 0, 0, -122, 0, -278, 20, 0, 62, 160, 0, -183, 0, 0, 128, -206, 0, 0, -302, 0, 92, -142, 0, -214, -42, 0, -265, 0, 0, -202, -103, 0, 0, 284, 0, -154, -25, 0, 104, 252, 0, 152, 0, 0, 41, -62, 0, 0, 269, 0, 37, 76, 0, -208, -72, 0, 402, 0, 0, 98, 60, 0, 0, 118, 0, 36, -302, 0, 30, -170, 0, 220, 0, 0, 14, 402, 0, 0, 20, 0, 16, -540, 0, -228, 160, 0, -15, 0, 0, 200, 42, 0, 0, -154, 0, 216, 172, 0, 80, -138, 0, 44, 0, 0, 12, -472, 0, 0, -59, 0, 313, 212, 0, 132, -58, 0, -182, 0, 0, -132, -21, 0, 0, 488, 0, 142, -128, 0, 216, -48, 0, 30, 0, 0, -112, 56, 0, 0, -518, 0, -64, 346, 0, -288, 45, 0, -100, 0, 0, -30, -152, 0, 0, -168, 0, 138, 12, 0, 1, -184, 0, -188, 0, 0, 105, 312, 0, 0, -204, 0, -8, 12, 0, -252, 8, 0, 68, 0, 0, -168, -146, 0, 0, -550, 0, -40, 213, 0, -198, -20, 0, -98, 0, 0, 316, 433, 0, 0, 168, 0, 47, -304, 0, 238, -90, 0, -200, 0, 0, 292, -144, 0, 0, -8, 0, -22, 348, 0, -394, 232, 0, 28, 0, 0, -7, 640, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1197385
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4275.2.a.x', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '285.2.a.f', 'target_level': 285, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1197386
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4275.2.a.x', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '855.2.a.e', 'target_level': 855, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1197387
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4275.2.a.x', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1425.2.a.l', 'target_level': 1425, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1197388
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4275.2.a.x', 'source_level': 4275, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1425.2.c.j', 'target_level': 1425, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1197389
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4275.2.a.x', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4275.2.a.x', 'target_level': 4275, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1197390
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4275.2.a.x', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '4560.2.a.bj', 'target_level': 4560, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1197391
{'conductor': 285, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4275.2.a.x', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5415.2.a.p', 'target_level': 5415, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '285.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3551200
{'charpoly_factorization': [[[-1, -2, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 2}
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id: 3551201
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463080115, 'p': 3}
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id: 3551202
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463080115, 'p': 5}
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id: 3551203
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 7}
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id: 3551204
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 11}
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id: 3551205
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 13}
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id: 3551206
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 17}
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id: 3551207
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 103582791463080115, 'p': 19}
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id: 3551208
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 23}
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id: 3551209
{'charpoly_factorization': [[[-46, -4, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 29}
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id: 3551210
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 31}
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id: 3551211
{'charpoly_factorization': [[[-34, 8, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 37}
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id: 3551212
{'charpoly_factorization': [[[34, -12, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 41}
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id: 3551213
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 43}
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id: 3551214
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 47}
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id: 3551215
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 103582791463080115, 'p': 53}
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id: 3551216
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 59}
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id: 3551217
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 61}
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id: 3551218
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 103582791463080115, 'p': 67}
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id: 3551219
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 71}
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id: 3551220
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 103582791463080115, 'p': 73}
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id: 3551221
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 79}
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id: 3551222
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 83}
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id: 3551223
{'charpoly_factorization': [[[-158, -4, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 89}
-
id: 3551224
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 103582791463080115, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '4275.2.a.x', 'level': 4275, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 65918719
{'hecke_orbit_code': 103582791463080115, 'n': 1, 'trace_an': 2}
-
id: 65918720
{'hecke_orbit_code': 103582791463080115, 'n': 2, 'trace_an': 2}
-
id: 65918721
{'hecke_orbit_code': 103582791463080115, 'n': 3, 'trace_an': 0}
-
id: 65918722
{'hecke_orbit_code': 103582791463080115, 'n': 4, 'trace_an': 2}
-
id: 65918723
{'hecke_orbit_code': 103582791463080115, 'n': 5, 'trace_an': 0}
-
id: 65918724
{'hecke_orbit_code': 103582791463080115, 'n': 6, 'trace_an': 0}
-
id: 65918725
{'hecke_orbit_code': 103582791463080115, 'n': 7, 'trace_an': -4}
-
id: 65918726
{'hecke_orbit_code': 103582791463080115, 'n': 8, 'trace_an': 6}
-
id: 65918727
{'hecke_orbit_code': 103582791463080115, 'n': 9, 'trace_an': 0}
-
id: 65918728
{'hecke_orbit_code': 103582791463080115, 'n': 10, 'trace_an': 0}
-
id: 65918729
{'hecke_orbit_code': 103582791463080115, 'n': 11, 'trace_an': 0}
-
id: 65918730
{'hecke_orbit_code': 103582791463080115, 'n': 12, 'trace_an': 0}
-
id: 65918731
{'hecke_orbit_code': 103582791463080115, 'n': 13, 'trace_an': -8}
-
id: 65918732
{'hecke_orbit_code': 103582791463080115, 'n': 14, 'trace_an': -8}
-
id: 65918733
{'hecke_orbit_code': 103582791463080115, 'n': 15, 'trace_an': 0}
-
id: 65918734
{'hecke_orbit_code': 103582791463080115, 'n': 16, 'trace_an': 6}
-
id: 65918735
{'hecke_orbit_code': 103582791463080115, 'n': 17, 'trace_an': -8}
-
id: 65918736
{'hecke_orbit_code': 103582791463080115, 'n': 18, 'trace_an': 0}
-
id: 65918737
{'hecke_orbit_code': 103582791463080115, 'n': 19, 'trace_an': 2}
-
id: 65918738
{'hecke_orbit_code': 103582791463080115, 'n': 20, 'trace_an': 0}
-
id: 65918739
{'hecke_orbit_code': 103582791463080115, 'n': 21, 'trace_an': 0}
-
id: 65918740
{'hecke_orbit_code': 103582791463080115, 'n': 22, 'trace_an': 4}
-
id: 65918741
{'hecke_orbit_code': 103582791463080115, 'n': 23, 'trace_an': 4}
-
id: 65918742
{'hecke_orbit_code': 103582791463080115, 'n': 24, 'trace_an': 0}
-
id: 65918743
{'hecke_orbit_code': 103582791463080115, 'n': 25, 'trace_an': 0}
-
id: 65918744
{'hecke_orbit_code': 103582791463080115, 'n': 26, 'trace_an': -4}
-
id: 65918745
{'hecke_orbit_code': 103582791463080115, 'n': 27, 'trace_an': 0}
-
id: 65918746
{'hecke_orbit_code': 103582791463080115, 'n': 28, 'trace_an': -12}
-
id: 65918747
{'hecke_orbit_code': 103582791463080115, 'n': 29, 'trace_an': 4}
-
id: 65918748
{'hecke_orbit_code': 103582791463080115, 'n': 30, 'trace_an': 0}
-
id: 65918749
{'hecke_orbit_code': 103582791463080115, 'n': 31, 'trace_an': -4}
-
id: 65918750
{'hecke_orbit_code': 103582791463080115, 'n': 32, 'trace_an': -6}
-
id: 65918751
{'hecke_orbit_code': 103582791463080115, 'n': 33, 'trace_an': 0}
-
id: 65918752
{'hecke_orbit_code': 103582791463080115, 'n': 34, 'trace_an': -16}
-
id: 65918753
{'hecke_orbit_code': 103582791463080115, 'n': 35, 'trace_an': 0}
-
id: 65918754
{'hecke_orbit_code': 103582791463080115, 'n': 36, 'trace_an': 0}
-
id: 65918755
{'hecke_orbit_code': 103582791463080115, 'n': 37, 'trace_an': -8}
-
id: 65918756
{'hecke_orbit_code': 103582791463080115, 'n': 38, 'trace_an': 2}
-
id: 65918757
{'hecke_orbit_code': 103582791463080115, 'n': 39, 'trace_an': 0}
-
id: 65918758
{'hecke_orbit_code': 103582791463080115, 'n': 40, 'trace_an': 0}
-
id: 65918759
{'hecke_orbit_code': 103582791463080115, 'n': 41, 'trace_an': 12}
-
id: 65918760
{'hecke_orbit_code': 103582791463080115, 'n': 42, 'trace_an': 0}
-
id: 65918761
{'hecke_orbit_code': 103582791463080115, 'n': 43, 'trace_an': -4}
-
id: 65918762
{'hecke_orbit_code': 103582791463080115, 'n': 44, 'trace_an': 8}
-
id: 65918763
{'hecke_orbit_code': 103582791463080115, 'n': 45, 'trace_an': 0}
-
id: 65918764
{'hecke_orbit_code': 103582791463080115, 'n': 46, 'trace_an': -12}
-
id: 65918765
{'hecke_orbit_code': 103582791463080115, 'n': 47, 'trace_an': 12}
-
id: 65918766
{'hecke_orbit_code': 103582791463080115, 'n': 48, 'trace_an': 0}
-
id: 65918767
{'hecke_orbit_code': 103582791463080115, 'n': 49, 'trace_an': -2}
-
id: 65918768
{'hecke_orbit_code': 103582791463080115, 'n': 50, 'trace_an': 0}
-
id: 65918769
{'hecke_orbit_code': 103582791463080115, 'n': 51, 'trace_an': 0}
-
id: 65918770
{'hecke_orbit_code': 103582791463080115, 'n': 52, 'trace_an': 0}
-
id: 65918771
{'hecke_orbit_code': 103582791463080115, 'n': 53, 'trace_an': 8}
-
id: 65918772
{'hecke_orbit_code': 103582791463080115, 'n': 54, 'trace_an': 0}
-
id: 65918773
{'hecke_orbit_code': 103582791463080115, 'n': 55, 'trace_an': 0}
-
id: 65918774
{'hecke_orbit_code': 103582791463080115, 'n': 56, 'trace_an': -16}
-
id: 65918775
{'hecke_orbit_code': 103582791463080115, 'n': 57, 'trace_an': 0}
-
id: 65918776
{'hecke_orbit_code': 103582791463080115, 'n': 58, 'trace_an': -16}
-
id: 65918777
{'hecke_orbit_code': 103582791463080115, 'n': 59, 'trace_an': 0}
-
id: 65918778
{'hecke_orbit_code': 103582791463080115, 'n': 60, 'trace_an': 0}
-
id: 65918779
{'hecke_orbit_code': 103582791463080115, 'n': 61, 'trace_an': 0}
-
id: 65918780
{'hecke_orbit_code': 103582791463080115, 'n': 62, 'trace_an': -28}
-
id: 65918781
{'hecke_orbit_code': 103582791463080115, 'n': 63, 'trace_an': 0}
-
id: 65918782
{'hecke_orbit_code': 103582791463080115, 'n': 64, 'trace_an': -14}
-
id: 65918783
{'hecke_orbit_code': 103582791463080115, 'n': 65, 'trace_an': 0}
-
id: 65918784
{'hecke_orbit_code': 103582791463080115, 'n': 66, 'trace_an': 0}
-
id: 65918785
{'hecke_orbit_code': 103582791463080115, 'n': 67, 'trace_an': -24}
-
id: 65918786
{'hecke_orbit_code': 103582791463080115, 'n': 68, 'trace_an': -24}
-
id: 65918787
{'hecke_orbit_code': 103582791463080115, 'n': 69, 'trace_an': 0}
-
id: 65918788
{'hecke_orbit_code': 103582791463080115, 'n': 70, 'trace_an': 0}
-
id: 65918789
{'hecke_orbit_code': 103582791463080115, 'n': 71, 'trace_an': -8}
-
id: 65918790
{'hecke_orbit_code': 103582791463080115, 'n': 72, 'trace_an': 0}
-
id: 65918791
{'hecke_orbit_code': 103582791463080115, 'n': 73, 'trace_an': 4}
-
id: 65918792
{'hecke_orbit_code': 103582791463080115, 'n': 74, 'trace_an': 12}
-
id: 65918793
{'hecke_orbit_code': 103582791463080115, 'n': 75, 'trace_an': 0}
-
id: 65918794
{'hecke_orbit_code': 103582791463080115, 'n': 76, 'trace_an': 2}
-
id: 65918795
{'hecke_orbit_code': 103582791463080115, 'n': 77, 'trace_an': -4}
-
id: 65918796
{'hecke_orbit_code': 103582791463080115, 'n': 78, 'trace_an': 0}
-
id: 65918797
{'hecke_orbit_code': 103582791463080115, 'n': 79, 'trace_an': 0}
-
id: 65918798
{'hecke_orbit_code': 103582791463080115, 'n': 80, 'trace_an': 0}
-
id: 65918799
{'hecke_orbit_code': 103582791463080115, 'n': 81, 'trace_an': 0}
-
id: 65918800
{'hecke_orbit_code': 103582791463080115, 'n': 82, 'trace_an': 8}
-
id: 65918801
{'hecke_orbit_code': 103582791463080115, 'n': 83, 'trace_an': -4}
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