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{'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [127, -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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-4, 1, 1]], [5, [-2, 3, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425155905, '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': '8001.2.a.h', 'level': 8001, '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, 7, 127], 'level_radical': 2667, 'minimal_twist': '2667.2.a.i', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(2+\\beta )q^{4}+(-1-\\beta )q^{5}-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': '8001.2.a', 'trace_display': [-1, 0, -3, -2], 'trace_hash': 969999602690809619, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.252', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '72.362', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [2, -1, 0, 5, -3, 0, -2, -9, 0, 10, 2, 0, -3, 1, 0, 3, -8, 0, -8, -16, 0, 16, 5, 0, 3, 10, 0, -5, -9, 0, 9, -9, 0, 4, 3, 0, -5, 4, 0, 22, -6, 0, 6, -12, 0, 6, 20, 0, 2, -27, 0, -16, 5, 0, 14, 9, 0, -4, 5, 0, -13, 4, 0, 7, 13, 0, 6, -20, 0, -10, 24, 0, -13, -6, 0, -20, -2, 0, -4, -30, 0, 20, -3, 0, 12, -20, 0, 8, -23, 0, 3, 4, 0, -10, 12, 0, -26, -1, 0, 33, -15, 0, 12, 22, 0, -28, -8, 0, 0, -24, 0, -3, -14, 0, 1, -14, 0, -28, 8, 0, 14, -2, 0, 14, -15, 0, 2, 23, 0, -32, 36, 0, 8, -20, 0, 36, -17, 0, -22, 16, 0, -12, 14, 0, 5, -2, 0, -4, -8, 0, -2, 36, 0, -16, -5, 0, 28, -32, 0, 22, -5, 0, 31, -32, 0, -24, -8, 0, -13, -40, 0, 32, -24, 0, -3, -48, 0, -14, 20, 0, 26, -10, 0, -14, -1, 0, -8, 50, 0, -40, 20, 0, 24, 30, 0, 5, -10, 0, 1, -39, 0, -18, 9, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [2, 1], [-1, -1], [0, 0], [-1, 0], [-4, -1], [0, 0], [4, 2], [2, -2], [0, 0], [-1, -1], [0, 1], [0, 0], [0, 3], [-4, 0], [0, 0], [-4, 0], [-6, -4], [0, 0], [8, 0], [3, -1], [0, 0], [0, 3], [4, 2], [0, 0], [-2, -1], [-5, 1], [0, 0], [5, -1], [-4, -1], [0, 0], [0, 4], [1, 1], [0, 0], [-3, 1], [0, 4], [0, 0], [8, 6], [-2, -2], [0, 0], [2, 2], [-4, -4], [0, 0], [4, -2], [10, 0], [0, 0], [1, 0], [-12, -3], [0, 0], [-6, -4], [1, 3], [0, 0], [6, 2], [4, 1], [0, 0], [-4, 4], [1, 3], [0, 0], [-7, 1], [4, -4], [0, 0], [4, -1], [5, 3], [0, 0], [2, 2], [-8, -4], [0, 0], [-4, -2], [12, 0], [0, 0], [-7, 1], [-4, 2], [0, 0], [-8, -4], [-2, 2], [0, 0], [-4, 4], [-12, -6], [0, 0], [8, 4], [-3, 3], [0, 0], [4, 4], [-8, -4], [0, 0], [0, 8], [-13, 3], [0, 0], [1, 1], [2, 0], [0, 0], [0, -10], [4, 4], [0, 0], [-12, -2], [0, -1], [0, 0], [12, 9]], 'ap': [[0, -1], [0, 0], [-1, -1], [-1, 0], [2, -2], [-1, -1], [-4, 0], [-4, 0], [3, -1], [-5, 1], [5, -1], [-3, 1], [-2, -2], [2, 2], [10, 0], [1, 3], [1, 3], [-7, 1], [2, 2], [12, 0], [-7, 1], [-4, 4], [-3, 3], [-13, 3], [-12, -2], [-9, 3], [4, 4], [-4, 0], [-2, 4], [-4, -6], [1, 0], [18, 0], [-9, 1], [-10, -2], [-6, 4], [2, -6], [14, 0], [15, 1], [-8, 8], [-10, -4], [8, 4], [12, 2], [8, 4], [14, -4], [-4, -2], [1, -1], [3, -3], [-2, -6], [-6, -4], [8, -6], [-3, 7], [-25, 3], [-24, -2], [-10, 0], [-3, 5], [-8, 0], [-4, 0], [-13, -3], [-4, 6], [-6, 6], [-12, 0], [6, 4], [6, -2], [5, -1], [2, 4], [-10, -2], [12, -12], [16, 6], [-1, 7], [-18, -4], [-8, 4], [8, -2], [5, 7], [14, 0], [22, -2], [12, 6], [4, 2], [23, -5], [-3, -1], [-2, 4], [-14, 0], [0, 2], [-10, -6], [-18, 4], [-10, 18], [-8, 12], [-6, 0], [-1, -5], [-14, 0], [9, -5], [-9, 17], [10, -8], [-4, 12], [4, 14], [24, 0], [16, -2], [-4, -12], [8, 12], [-3, 15], [-24, 10], [12, -8], [-2, -8], [20, 0], [12, -22], [2, -10], [19, 3], [-2, 4], [-15, 13], [-15, -11], [-18, -4], [9, -1], [12, -6], [15, -7], [6, -18], [14, 2], [42, 2], [-16, 4], [9, -17], [-2, -4], [33, -11], [-15, 1], [7, -1], [-4, -16], [24, 10], [32, 4], [11, 9], [26, -4], [12, -22], [-2, -6], [7, 15], [-27, -5], [9, -11], [-8, 0], [25, 1], [25, -15], [-10, 8], [-6, -18], [19, 9], [6, -18], [28, -18], [-17, 9], [-27, 15], [0, -16], [-19, 13], [-10, 8], [-3, -17], [6, -20], [-15, 9], [44, 0], [5, -3], [18, -20], [-3, -15], [-3, 19], [-35, 7], [27, -3], [-32, 4], [29, -9], [-18, 8], [28, -14], [6, -6], [20, -10], [-18, 16], [22, -10], [-30, 20], [-44, 10], [-18, 8], [8, -16], [-14, 0], [43, 3], [-2, -10], [29, -19], [10, 4], [-12, -12], [59, -1], [-2, 10], [7, 11], [-27, 3], [18, 2], [24, -12], [-14, 28], [-41, -3], [35, -15], [-8, -14], [-44, -4], [48, -8], [-13, -9], [12, -10], [17, 15], [-26, 12], [-46, 12], [-20, 6], [-52, -6], [-8, 0], [-60, 0], [-22, -6], [-6, -10], [34, -8], [-13, 3], [-2, 10], [7, 1], [-5, -19], [31, 13], [33, -3], [12, 10], [-7, -9], [6, 12], [13, 7], [6, 22], [-28, 2], [12, 8], [16, 18], [20, 8], [-32, -8], [-24, 18], [16, 2], [-4, -14], [44, -8], [33, -3], [-8, -6], [-16, -14], [-20, 22], [-45, 1], [-11, 19], [16, -24], [24, -26], [35, -21], [-16, -12], [30, -14], [-24, 8], [-11, -3], [38, 12], [-19, 11], [0, 0], [-6, 24], [-20, 0], [-13, -19], [-16, 2], [38, 2], [48, 10], [-9, -15], [52, -14], [8, -20], [-17, 9], [7, -25], [-5, -21], [-18, 28], [-40, -8], [20, 2], [-22, 10], [28, 14], [-7, 1], [-34, 16], [16, -2], [-4, 2], [-23, -3], [4, 18], [-14, -16], [-33, -11], [-16, 8], [-46, 4], [26, -10], [-4, -4], [-14, -8], [-11, -11], [31, 11], [-54, 10], [-43, 7], [-4, -16], [52, 0], [-34, 24], [-6, 8], [20, 4], [54, 4], [20, -4], [-56, -6], [-30, 22], [-50, -2], [-34, 32], [4, 6], [-15, 7], [-5, 29], [32, 4], [44, -10], [36, -10], [38, 14], [-64, 10], [2, -12], [16, 6], [-22, 30], [-10, 20], [-6, 14], [-6, -4], [34, 4], [-28, -10], [-42, 0], [-8, 24], [-32, 16], [30, 10], [30, 20], [11, 29], [-53, 19], [-3, -13], [31, 13], [-14, 30], [36, 4], [-28, -6], [22, -14], [-34, -20], [-39, 21], [-30, 32], [14, 0], [46, -12], [-60, 14], [58, -2], [51, -9], [-26, 0], [-1, 1], [-48, 0], [11, -25], [10, 2], [29, -5], [24, -14], [-37, 7], [-50, -2], [14, -20], [-49, -5], [-54, -2], [56, -8], [-55, -3], [33, 15], [19, -29], [-35, 35], [-76, -4], [2, -12], [20, 8], [-24, -12], [0, 22], [34, -32], [17, -15], [-7, 35], [-18, 8], [64, 10], [-39, 25], [-1, -19], [-4, -14], [49, 5], [30, -20], [-12, -16], [73, 3], [-30, 34], [-54, 26], [-46, -12], [-31, 3], [32, 8], [-5, 15], [48, -28], [-16, -18], [37, -13], [20, -34], [40, 10], [24, 14], [-29, 19], [64, 8], [57, 5], [-8, -4], [-25, 23], [42, -10], [-24, -24], [-30, -24], [28, -14], [-24, -12], [19, 27], [-66, -12], [-41, 5], [-7, 21], [23, -11], [-41, 35], [-20, 46], [-22, -14], [48, -2], [-10, 14], [-62, 10], [-32, 32], [2, -4], [36, 24], [-31, 19], [35, -7], [-24, -26], [53, -21], [-23, -17], [63, 3], [6, 10], [28, -8], [28, -40], [-80, 0], [26, 4], [85, -9], [70, 10], [-49, 25], [-26, 28], [-33, -5], [-66, 18], [83, -7], [35, -21], [-4, 20], [-1, -35], [16, 10], [-70, 6], [-27, -9], [-66, 0], [14, 0], [-6, -18], [-4, -28], [-30, 2], [-50, -16], [39, 15], [-19, -11], [-44, 20], [54, 6], [-37, 17], [-40, 18], [54, -28], [21, -3], [64, -10], [-6, -16], [-24, -4], [50, 2], [19, -11], [-80, 8], [-37, -7]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 31525197425155905, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '8001.2.a.h', 'level': 8001, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [32, 30, 40, 22, 47, 48, 43, 52], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [91, 100, 92, 102, 85, 76, 79, 78], 'Nk2': 32004, 'analytic_conductor': 63.88830665722644, '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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1017, 'dim': 314, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33562433, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 12, 13, 14, 15, 16, 16, 16, 18, 19, 20, 22, 28, 32, 40], 'label': '8001.2.a', 'level': 8001, '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, 7, 127], 'level_radical': 2667, 'mf_dim': 1032, 'mf_new_dim': 314, 'num_forms': 27, 'plus_dim': 145, 'prim_orbit_index': 1, 'relative_dim': 314, 'sturm_bound': 2048, 'trace_bound': 5, 'trace_display': [0, 0, -4, 0], 'traces': [314, 0, 0, 320, -4, 0, 0, 0, 0, 4, 16, 0, -8, 0, 0, 332, -4, 0, 4, 4, 0, -28, -4, 0, 290, -40, 0, 0, 0, 0, 12, -30, 0, -26, 8, 0, -16, 6, 0, -32, -8, 0, -8, 38, 0, 16, 36, 0, 314, 32, 0, -30, 16, 0, -8, 0, 0, 20, 20, 0, 12, -62, 0, 332, -36, 0, -8, 72, 0, 28, 52, 0, -64, -38, 0, -24, 0, 0, 16, -20, 0, -24, 16, 0, 28, 24, 0, -10, -32, 0, -4, -52, 0, 40, -44, 0, -108, 0, 0, 344, -12, 0, -48, -90, 0, 28, 84, 0, 8, 64, 0, 32, 16, 0, -68, -40, 0, -32, -4, 0, 302, 74, 0, 0, -24, 0, -10, 24, 0, 36, 16, 0, 24, 44, 0, 88, 20, 0, -20, 20, 0, 150, -56, 0, 8, -148, 0, 56, 52, 0, -48, 28, 0, 0, 112, 0, -68, 180, 0, -112, 16, 0, -84, 2, 0, 24, 4, 0, 354, -28, 0, -48, -44, 0, 16, 188, 0, 12, 12, 0, 36, -36, 0, 108, 20, 0, -68, 162, 0, -68, -20, 0, 20, 88, 0, 320, 24, 0, -56, -8, 0, -92, 24, 0, -4, -144, 0, -32, 120, 0, -56, -16, 0, 14, 60, 0, 32, 4, 0, 28, -8, 0, -108, 40, 0, 60, -32, 0, -16, 144, 0, 36, -32, 0, -16, -100, 0, -8, -4, 0, 32, -58, 0, 20, -4, 0, -48, -20, 0, -92, 32, 0, 32, 16, 0, 292, 68, 0, 8, -16, 0, 152, -16, 0, 4, 36, 0, 88, -72, 0, -8, -94, 0, 28, -48, 0, 36, 212, 0, 24, -12, 0, -56, 360, 0, -14, 12, 0, 322, -104, 0, -142, 96, 0, -24, 28, 0, 18, 92, 0, -16, -180, 0, 2, 16, 0, 92, 0, 0, -132, -164, 0, -112, 116, 0, -106, -176, 0, -12, 36, 0, 8, 128, 0, -188, -44, 0, 26, -12, 0, -160, 168, 0, 92, 228, 0, -108, 254, 0, 132, -76, 0, 0, 0, 0, -52, -124, 0, 8, 8, 0, 160, -24, 0, 28, 64, 0, 58, -60, 0, 306, -116, 0, 0, -8, 0, 28, -60, 0, 64, 8, 0, -40, 298, 0, 146, -120, 0, 132, -128, 0, 68, -84, 0, 44, 52, 0, -384, -4, 0, 8, 0, 0, -224, -172, 0, -280, -60, 0, 476, -120, 0, 68, 96, 0, 32, 124, 0, -128, -236, 0, -162, 36, 0, -44, -280, 0, 338, -76, 0, -36, -64, 0, -12, -60, 0, 36, 484, 0, -148, -16, 0, -188, 20, 0, 8, 20, 0, -52, 312, 0, -158, 12, 0, -236, 112, 0, 16, -72, 0, -236, 62, 0, 64, -16, 0, 8, 96, 0, 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0, 180, -160, 0, 8, -192, 0, 120, -64, 0, 140, 136, 0, -50, 12, 0, -132, -292, 0, -20, 276, 0, 288, 88, 0, -8, 20, 0, 40, -128, 0, -260, 220, 0, 20, -152, 0, 96, 368, 0, -36, 74, 0, 16, 320, 0, -316, -4, 0, 24, -240, 0, -92, -360, 0, -318, -16, 0, 400, 240, 0, -88, 148, 0, -216, 80, 0, 40, -252, 0, 8, 36, 0, -32, 128, 0, 64, 124, 0, 24, 4, 0, 428, 80, 0, 356, 68, 0, 64, 0, 0, 332, 76, 0, 132, -166, 0, 248, -72, 0, -84, -42, 0, 114, 196, 0, 124, -62, 0, -84, -172, 0, -40, -246, 0, 60, 280, 0, -196, 176, 0, 90, -100, 0, -304, -16, 0, 240, 144, 0, -92, -286, 0, -88, 12, 0, -64, -140, 0, 240, -4, 0, -188, 74, 0, 318, -4, 0, 398, -308, 0, 98, -132, 0, 32, 104, 0, -702, 268, 0, -96, -28, 0, -252, -140, 0, 116, 388, 0, -40, -400, 0, -76, 426, 0, 200, 200, 0, 120, -264, 0, 60, -24, 0, -28, -188, 0, -72, -68, 0, 416, 298, 0, -78, -308, 0, -8, 300, 0, -360, 152, 0, -92, 24, 0, -116, -292, 0, 48, -414, 0, 234, -180, 0, -80, -96, 0, 64, -60, 0, -168, 156, 0, -464, 4, 0, 92, 48, 0, -160, -220, 0, -412, -82, 0, 32, -32, 0, 4, 172, 0, -444, -248, 0, -104, 80, 0, -304, -20, 0, 436, 104, 0, 316, 284, 0, 240, 578, 0, 80, -16, 0, -124, -108, 0, 0, -32, 0, 582, -174, 0, 256, -244, 0, -140, -344, 0, -232, 80, 0, 108, -20, 0, -314, -124, 0, -96, 4, 0, 108, -108, 0, -36, -508, 0, -310, 64, 0, -300, 244, 0, 192, -148, 0, 192, 192, 0, -248], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1373750
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8001.2.a.h', 'source_level': 8001, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '2667.2.a.i', 'target_level': 2667, 'twist_class_label': '2667.2.a.i', 'twist_class_level': 2667, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1373751
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8001.2.a.h', 'source_level': 8001, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8001.2.a.h', 'target_level': 8001, 'twist_class_label': '2667.2.a.i', 'twist_class_level': 2667, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4632425
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 2}
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id: 4632426
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197425155905, 'p': 3}
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id: 4632427
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 5}
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id: 4632428
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425155905, 'p': 7}
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id: 4632429
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 11}
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id: 4632430
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 13}
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id: 4632431
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31525197425155905, 'p': 17}
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id: 4632432
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31525197425155905, 'p': 19}
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id: 4632433
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 23}
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id: 4632434
{'charpoly_factorization': [[[16, 9, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 29}
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id: 4632435
{'charpoly_factorization': [[[16, -9, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 31}
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id: 4632436
{'charpoly_factorization': [[[2, 5, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 37}
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id: 4632437
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 41}
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id: 4632438
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 43}
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id: 4632439
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 31525197425155905, 'p': 47}
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id: 4632440
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 53}
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id: 4632441
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 59}
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id: 4632442
{'charpoly_factorization': [[[38, 13, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 61}
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id: 4632443
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 67}
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id: 4632444
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 31525197425155905, 'p': 71}
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id: 4632445
{'charpoly_factorization': [[[38, 13, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 73}
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id: 4632446
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 79}
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id: 4632447
{'charpoly_factorization': [[[-36, 3, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 83}
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id: 4632448
{'charpoly_factorization': [[[94, 23, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 89}
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id: 4632449
{'charpoly_factorization': [[[152, 26, 1], 1]], 'hecke_orbit_code': 31525197425155905, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '8001.2.a.h', 'level': 8001, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 48858727
{'hecke_orbit_code': 31525197425155905, 'n': 1, 'trace_an': 2}
-
id: 48858728
{'hecke_orbit_code': 31525197425155905, 'n': 2, 'trace_an': -1}
-
id: 48858729
{'hecke_orbit_code': 31525197425155905, 'n': 3, 'trace_an': 0}
-
id: 48858730
{'hecke_orbit_code': 31525197425155905, 'n': 4, 'trace_an': 5}
-
id: 48858731
{'hecke_orbit_code': 31525197425155905, 'n': 5, 'trace_an': -3}
-
id: 48858732
{'hecke_orbit_code': 31525197425155905, 'n': 6, 'trace_an': 0}
-
id: 48858733
{'hecke_orbit_code': 31525197425155905, 'n': 7, 'trace_an': -2}
-
id: 48858734
{'hecke_orbit_code': 31525197425155905, 'n': 8, 'trace_an': -9}
-
id: 48858735
{'hecke_orbit_code': 31525197425155905, 'n': 9, 'trace_an': 0}
-
id: 48858736
{'hecke_orbit_code': 31525197425155905, 'n': 10, 'trace_an': 10}
-
id: 48858737
{'hecke_orbit_code': 31525197425155905, 'n': 11, 'trace_an': 2}
-
id: 48858738
{'hecke_orbit_code': 31525197425155905, 'n': 12, 'trace_an': 0}
-
id: 48858739
{'hecke_orbit_code': 31525197425155905, 'n': 13, 'trace_an': -3}
-
id: 48858740
{'hecke_orbit_code': 31525197425155905, 'n': 14, 'trace_an': 1}
-
id: 48858741
{'hecke_orbit_code': 31525197425155905, 'n': 15, 'trace_an': 0}
-
id: 48858742
{'hecke_orbit_code': 31525197425155905, 'n': 16, 'trace_an': 3}
-
id: 48858743
{'hecke_orbit_code': 31525197425155905, 'n': 17, 'trace_an': -8}
-
id: 48858744
{'hecke_orbit_code': 31525197425155905, 'n': 18, 'trace_an': 0}
-
id: 48858745
{'hecke_orbit_code': 31525197425155905, 'n': 19, 'trace_an': -8}
-
id: 48858746
{'hecke_orbit_code': 31525197425155905, 'n': 20, 'trace_an': -16}
-
id: 48858747
{'hecke_orbit_code': 31525197425155905, 'n': 21, 'trace_an': 0}
-
id: 48858748
{'hecke_orbit_code': 31525197425155905, 'n': 22, 'trace_an': 16}
-
id: 48858749
{'hecke_orbit_code': 31525197425155905, 'n': 23, 'trace_an': 5}
-
id: 48858750
{'hecke_orbit_code': 31525197425155905, 'n': 24, 'trace_an': 0}
-
id: 48858751
{'hecke_orbit_code': 31525197425155905, 'n': 25, 'trace_an': 3}
-
id: 48858752
{'hecke_orbit_code': 31525197425155905, 'n': 26, 'trace_an': 10}
-
id: 48858753
{'hecke_orbit_code': 31525197425155905, 'n': 27, 'trace_an': 0}
-
id: 48858754
{'hecke_orbit_code': 31525197425155905, 'n': 28, 'trace_an': -5}
-
id: 48858755
{'hecke_orbit_code': 31525197425155905, 'n': 29, 'trace_an': -9}
-
id: 48858756
{'hecke_orbit_code': 31525197425155905, 'n': 30, 'trace_an': 0}
-
id: 48858757
{'hecke_orbit_code': 31525197425155905, 'n': 31, 'trace_an': 9}
-
id: 48858758
{'hecke_orbit_code': 31525197425155905, 'n': 32, 'trace_an': -9}
-
id: 48858759
{'hecke_orbit_code': 31525197425155905, 'n': 33, 'trace_an': 0}
-
id: 48858760
{'hecke_orbit_code': 31525197425155905, 'n': 34, 'trace_an': 4}
-
id: 48858761
{'hecke_orbit_code': 31525197425155905, 'n': 35, 'trace_an': 3}
-
id: 48858762
{'hecke_orbit_code': 31525197425155905, 'n': 36, 'trace_an': 0}
-
id: 48858763
{'hecke_orbit_code': 31525197425155905, 'n': 37, 'trace_an': -5}
-
id: 48858764
{'hecke_orbit_code': 31525197425155905, 'n': 38, 'trace_an': 4}
-
id: 48858765
{'hecke_orbit_code': 31525197425155905, 'n': 39, 'trace_an': 0}
-
id: 48858766
{'hecke_orbit_code': 31525197425155905, 'n': 40, 'trace_an': 22}
-
id: 48858767
{'hecke_orbit_code': 31525197425155905, 'n': 41, 'trace_an': -6}
-
id: 48858768
{'hecke_orbit_code': 31525197425155905, 'n': 42, 'trace_an': 0}
-
id: 48858769
{'hecke_orbit_code': 31525197425155905, 'n': 43, 'trace_an': 6}
-
id: 48858770
{'hecke_orbit_code': 31525197425155905, 'n': 44, 'trace_an': -12}
-
id: 48858771
{'hecke_orbit_code': 31525197425155905, 'n': 45, 'trace_an': 0}
-
id: 48858772
{'hecke_orbit_code': 31525197425155905, 'n': 46, 'trace_an': 6}
-
id: 48858773
{'hecke_orbit_code': 31525197425155905, 'n': 47, 'trace_an': 20}
-
id: 48858774
{'hecke_orbit_code': 31525197425155905, 'n': 48, 'trace_an': 0}
-
id: 48858775
{'hecke_orbit_code': 31525197425155905, 'n': 49, 'trace_an': 2}
-
id: 48858776
{'hecke_orbit_code': 31525197425155905, 'n': 50, 'trace_an': -27}
-
id: 48858777
{'hecke_orbit_code': 31525197425155905, 'n': 51, 'trace_an': 0}
-
id: 48858778
{'hecke_orbit_code': 31525197425155905, 'n': 52, 'trace_an': -16}
-
id: 48858779
{'hecke_orbit_code': 31525197425155905, 'n': 53, 'trace_an': 5}
-
id: 48858780
{'hecke_orbit_code': 31525197425155905, 'n': 54, 'trace_an': 0}
-
id: 48858781
{'hecke_orbit_code': 31525197425155905, 'n': 55, 'trace_an': 14}
-
id: 48858782
{'hecke_orbit_code': 31525197425155905, 'n': 56, 'trace_an': 9}
-
id: 48858783
{'hecke_orbit_code': 31525197425155905, 'n': 57, 'trace_an': 0}
-
id: 48858784
{'hecke_orbit_code': 31525197425155905, 'n': 58, 'trace_an': -4}
-
id: 48858785
{'hecke_orbit_code': 31525197425155905, 'n': 59, 'trace_an': 5}
-
id: 48858786
{'hecke_orbit_code': 31525197425155905, 'n': 60, 'trace_an': 0}
-
id: 48858787
{'hecke_orbit_code': 31525197425155905, 'n': 61, 'trace_an': -13}
-
id: 48858788
{'hecke_orbit_code': 31525197425155905, 'n': 62, 'trace_an': 4}
-
id: 48858789
{'hecke_orbit_code': 31525197425155905, 'n': 63, 'trace_an': 0}
-
id: 48858790
{'hecke_orbit_code': 31525197425155905, 'n': 64, 'trace_an': 7}
-
id: 48858791
{'hecke_orbit_code': 31525197425155905, 'n': 65, 'trace_an': 13}
-
id: 48858792
{'hecke_orbit_code': 31525197425155905, 'n': 66, 'trace_an': 0}
-
id: 48858793
{'hecke_orbit_code': 31525197425155905, 'n': 67, 'trace_an': 6}
-
id: 48858794
{'hecke_orbit_code': 31525197425155905, 'n': 68, 'trace_an': -20}
-
id: 48858795
{'hecke_orbit_code': 31525197425155905, 'n': 69, 'trace_an': 0}
-
id: 48858796
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