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mf_newforms • Show schema
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{'Nk2': 18900, 'analytic_conductor': 37.72931495505498, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [7, 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': [4725, 1, [4376, 1702, 2026], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 257, 'field_disc_factorization': [[257, 1]], 'field_poly': [3, -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, [3, -5, 0, 1]], [11, [-3, -4, 1, 1]], [13, [-1, -5, -4, 1]], [37, [61, -38, 3, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364156021, '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': True, 'label': '4725.2.a.bi', 'level': 4725, '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, 7], 'level_radical': 105, 'minimal_twist': '4725.2.a.bi', 'nf_label': '3.3.257.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+(1+\\beta _{1}-\\beta _{2})q^{4}-q^{7}+(-3+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4725.2.a', 'trace_display': [0, 0, 0, -3], 'trace_hash': 790590801854022396, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.738', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '294.410', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, 0, 0, 4, 0, 0, -3, -9, 0, 0, -1, 0, 4, 0, 0, 2, -7, 0, 3, 0, 0, -1, -1, 0, 0, 11, 0, -4, 1, 0, -4, -3, 0, 12, 0, 0, -3, -13, 0, 0, -5, 0, 22, -9, 0, 9, -10, 0, 3, 0, 0, 4, -19, 0, 0, 9, 0, -9, 3, 0, -8, -31, 0, -7, 0, 0, -15, -3, 0, 0, 4, 0, -1, -7, 0, -10, 1, 0, 1, 0, 0, 15, -10, 0, 0, 1, 0, 2, 4, 0, -4, -18, 0, -31, 0, 0, -10, 0, 0, 0, 7, 0, -17, -1, 0, 19, -47, 0, -23, 0, 0, -2, -5, 0, 0, 18, 0, -37, 7, 0, -24, -6, 0, 14, 0, 0, 38, 15, 0, 0, 13, 0, -3, -60, 0, 33, -23, 0, -7, 0, 0, -5, -11, 0, 0, 16, 0, 28, -12, 0, 3, -22, 0, 1, 0, 0, 5, -16, 0, 0, 1, 0, -25, -63, 0, -41, -25, 0, -13, 0, 0, 37, -24, 0, 0, 10, 0, 24, -25, 0, -5, -11, 0, 12, 0, 0, -16, 6, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 0, 1], [0, 0, 0], [1, 1, -1], [0, 0, 0], [0, 0, 0], [-1, 0, 0], [-3, 0, 1], [0, 0, 0], [0, 0, 0], [0, -1, 0], [0, 0, 0], [1, 1, 1], [0, 0, -1], [0, 0, 0], [1, -1, -2], [-3, 2, 1], [0, 0, 0], [2, -3, -1], [0, 0, 0], [0, 0, 0], [0, -1, -1], [0, -1, 1], [0, 0, 0], [0, 0, 0], [3, 2, 1], [0, 0, 0], [-1, -1, 1], [0, 1, -1], [0, 0, 0], [-1, -1, -3], [0, -3, 0], [0, 0, 0], [3, 3, -2], [0, 0, 0], [0, 0, 0], [-2, 3, -1], [-3, -4, 0], [0, 0, 0], [0, 0, 0], [0, -5, 2], [0, 0, 0], [7, 1, 0], [-3, 0, 0], [0, 0, 0], [3, 0, -2], [-3, -1, -3], [0, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [1, 1, 2], [-6, -1, 2], [0, 0, 0], [0, 0, 0], [3, 0, -1], [0, 0, 0], [-3, 0, 2], [0, 3, -4], [0, 0, 0], [-4, 4, -1], [-9, -4, 1], [0, 0, 0], [-2, -1, 1], [0, 0, 0], [0, 0, 0], [-5, 0, -6], [0, -3, 6], [0, 0, 0], [0, 0, 0], [3, -5, 0], [0, 0, 0], [1, -4, 2], [-3, 2, 2], [0, 0, 0], [-4, 2, -5], [0, 1, 0], [0, 0, 0], [-1, 4, -2], [0, 0, 0], [0, 0, 0], [6, -3, -7], [-3, -1, -4], [0, 0, 0], [0, 0, 0], 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[-5, -12, -17], [12, -12, -23], [4, 21, -5], [-39, 10, 7], [-15, 17, 18], [-4, 11, -9], [10, -9, 9], [15, -25, 13], [-6, -8, -4], [-18, -4, 6], [-4, -18, -6], [26, -19, -4], [18, 17, 6], [-8, -10, 15], [-30, 8, 14], [-37, 11, -12], [24, -17, 9], [-48, 13, -3], [7, 2, -11], [33, 5, -11], [10, -17, -9], [-19, -3, -10], [5, -28, 5], [-36, 1, 5], [-41, -8, 7], [0, -23, -6], [17, -15, -17], [3, -26, 19], [-18, 28, 1], [27, -4, 18], [-21, -22, -1], [32, -9, -2], [1, -5, -16], [-22, 10, -22], [-21, 0, -9], [6, -8, -20], [-5, 8, 16], [12, -30, 1], [20, -21, 5], [-6, -27, -2], [-14, -2, 4], [0, -10, 27], [-42, -6, 4], [5, 18, -19], [9, 20, -6], [-3, 17, -7], [-43, 6, -3], [25, 4, 17], [33, 2, 3], [-41, 22, 9], [7, 6, -12], [27, -2, -7], [32, -19, -11], [4, -7, 19], [21, -22, 22], [2, 29, -5], [15, 11, -12], [-6, 11, 23], [28, -20, -18], [-3, 24, -19], [-13, -24, 12], [13, -24, -13], [22, -15, -24], [5, 0, -18], [-17, 3, 17], [-17, -2, -24], [-51, 13, -8], [41, -6, -16], [-16, 19, 16], [18, -9, 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11], [14, 22, -11], [10, -10, 39], [-21, -12, -7], [-5, 16, -26], [53, -18, 4], [-30, 11, 3], [-39, 3, -6], [9, 4, -7], [39, -8, -24], [-24, 3, 11], [-32, -5, -2], [-15, -4, -27], [-42, 11, 1], [39, -29, -20], [-29, 13, -32], [7, -36, 20], [27, 5, -13], [16, -28, -1], [-10, 41, 2], [-57, 3, 17], [-22, 15, -20], [57, -15, -6], [-54, 17, -6], [44, -29, -16], [-86, 5, 1], [3, -6, -24], [87, -1, 2], [10, 18, -9], [0, 7, 36], [37, 6, 5], [30, -1, -1], [3, -4, 3], [40, -8, 0], [39, -12, -20], [44, 19, -16], [-33, 14, -5], [-22, -1, -3], [-32, -25, 5], [-35, 31, 14], [-3, 20, 1], [-40, -5, 0], [15, 9, -8], [-12, -8, 0], [22, -33, 24], [51, 0, 2], [40, -19, -6], [20, 19, -12], [0, -19, 17], [-1, -4, -5], [-39, 1, 19], [44, -11, 35], [3, -9, 14], [-26, 5, -5], [30, -2, -20], [-48, 15, 1], [2, 26, -20], [-2, 40, -1], [-6, 20, -9], [-8, -11, 3], [-6, 16, 5], [-62, 1, -11], [-18, 38, 1], [-3, 34, -1], [-19, -31, 11], [-20, -12, -8], [24, 8, 24], [-18, 28, 2], [37, -27, -5], [-15, -12, -1], [24, 11, 27], [-9, 23, 32], [37, -42, -17], [-24, -13, 16], [-21, 9, -32], [52, 1, 16], [30, 21, -1], [-24, -3, -7], [-12, 12, -36], [32, -16, 13], [-18, 7, -17]], 'char_orbit_index': 1, 'field_poly': [3, -4, -1, 1], 'hecke_orbit_code': 153122387364156021, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '4725.2.a.bi', 'level': 4725, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [17, 19, 22, 18, 19, 17, 18, 22], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [62, 68, 68, 69, 74, 67, 63, 62], 'Nk2': 18900, 'analytic_conductor': 37.72931495505498, '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': [4725, 1, [4376, 1702, 2026], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 152, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13, 37], 'hecke_orbit_code': 33559157, 'hecke_orbit_dims': [1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8], 'label': '4725.2.a', 'level': 4725, '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, 7], 'level_radical': 105, 'mf_dim': 756, 'mf_new_dim': 152, 'num_forms': 58, 'plus_dim': 70, 'prim_orbit_index': 1, 'relative_dim': 152, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [152, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 116, 0, 0, -12, 0, 0, -28, 0, 0, 0, 0, 0, -16, 0, 0, -12, 0, 0, 36, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 20, 0, 0, 152, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 36, 0, 0, 100, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 32, 0, 0, -44, 0, 0, 44, 0, 0, 0, 0, 0, 12, 0, 0, 4, 0, 0, 124, 0, 0, -12, 0, 0, 0, 0, 0, -40, 0, 0, 104, 0, 0, -48, 0, 0, -48, 0, 0, 0, 0, 0, 68, 0, 0, 156, 0, 0, 32, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 136, 0, 0, 4, 0, 0, -52, 0, 0, 0, 0, 0, 84, 0, 0, 4, 0, 0, -24, 0, 0, 28, 0, 0, 0, 0, 0, -76, 0, 0, 100, 0, 0, 184, 0, 0, -80, 0, 0, 0, 0, 0, 312, 0, 0, -80, 0, 0, 252, 0, 0, 36, 0, 0, 0, 0, 0, 132, 0, 0, 148, 0, 0, 16, 0, 0, -24, 0, 0, 0, 0, 0, 288, 0, 0, -16, 0, 0, -48, 0, 0, 40, 0, 0, 0, 0, 0, -108, 0, 0, -216, 0, 0, -336, 0, 0, 48, 0, 0, 0, 0, 0, 52, 0, 0, -364, 0, 0, 352, 0, 0, -24, 0, 0, 0, 0, 0, -100, 0, 0, 196, 0, 0, -32, 0, 0, -88, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, -40, 0, 0, -56, 0, 0, 0, 0, 0, -84, 0, 0, 24, 0, 0, -132, 0, 0, -48, 0, 0, 0, 0, 0, -152, 0, 0, -80, 0, 0, 152, 0, 0, -128, 0, 0, 0, 0, 0, 96, 0, 0, -112, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -56, 0, 0, 84, 0, 0, 324, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, -32, 0, 0, 252, 0, 0, 0, 0, 0, -232, 0, 0, 148, 0, 0, 24, 0, 0, 8, 0, 0, 0, 0, 0, -88, 0, 0, 240, 0, 0, 20, 0, 0, 116, 0, 0, 0, 0, 0, 88, 0, 0, 104, 0, 0, -440, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, -224, 0, 0, -56, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, -300, 0, 0, -128, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, -292, 0, 0, 200, 0, 0, -264, 0, 0, 0, 0, 0, -88, 0, 0, 4, 0, 0, -272, 0, 0, -36, 0, 0, 0, 0, 0, 260, 0, 0, -184, 0, 0, -24, 0, 0, 416, 0, 0, 0, 0, 0, 160, 0, 0, -220, 0, 0, 88, 0, 0, -224, 0, 0, 0, 0, 0, 148, 0, 0, 152, 0, 0, -44, 0, 0, -140, 0, 0, 0, 0, 0, 64, 0, 0, 32, 0, 0, -168, 0, 0, 20, 0, 0, 0, 0, 0, 44, 0, 0, -412, 0, 0, 132, 0, 0, 100, 0, 0, 0, 0, 0, -244, 0, 0, 184, 0, 0, 80, 0, 0, 148, 0, 0, 0, 0, 0, 24, 0, 0, -336, 0, 0, 244, 0, 0, -200, 0, 0, 0, 0, 0, -380, 0, 0, -84, 0, 0, 48, 0, 0, 136, 0, 0, 0, 0, 0, 80, 0, 0, -444, 0, 0, 148, 0, 0, 76, 0, 0, 0, 0, 0, -272, 0, 0, 180, 0, 0, -440, 0, 0, 116, 0, 0, 0, 0, 0, -76, 0, 0, -144, 0, 0, -140, 0, 0, -316, 0, 0, 0, 0, 0, -256, 0, 0, 236, 0, 0, -344, 0, 0, 12, 0, 0, 0, 0, 0, -176, 0, 0, 40, 0, 0, -188, 0, 0, -320, 0, 0, 0, 0, 0, 4, 0, 0, 380, 0, 0, 392, 0, 0, -56, 0, 0, 0, 0, 0, 128, 0, 0, 444, 0, 0, 76, 0, 0, -136, 0, 0, 0, 0, 0, -400, 0, 0, -180, 0, 0, 4, 0, 0, 244, 0, 0, 0, 0, 0, 20, 0, 0, 84, 0, 0, -344, 0, 0, 224, 0, 0, 0, 0, 0, 32, 0, 0, 84, 0, 0, -144, 0, 0, 236, 0, 0, 0, 0, 0, -32, 0, 0, 468, 0, 0, 88, 0, 0, -56, 0, 0, 0, 0, 0, 136, 0, 0, 296, 0, 0, -296, 0, 0, 300, 0, 0, 0, 0, 0, -56, 0, 0, -156, 0, 0, 120, 0, 0, -120, 0, 0, 0, 0, 0, 192, 0, 0, 420, 0, 0, 116, 0, 0, 80, 0, 0, 0, 0, 0, -144, 0, 0, 120, 0, 0, 172, 0, 0, 160, 0, 0, 0, 0, 0, 304, 0, 0, 324, 0, 0, -20, 0, 0, -116, 0, 0, 0, 0, 0, 140, 0, 0, 156, 0, 0, 84, 0, 0, 576, 0, 0, 0, 0, 0, -396, 0, 0, -264, 0, 0, -392, 0, 0, -32, 0, 0, 0, 0, 0, 56, 0, 0, -992, 0, 0, 232, 0, 0, -164, 0, 0, 0, 0, 0, 204, 0, 0, -88, 0, 0, -256, 0, 0, 52, 0, 0, 0, 0, 0, 52, 0, 0, -684, 0, 0, 32, 0, 0, -320, 0, 0, 0, 0, 0, 88, 0, 0, -832, 0, 0, -360, 0, 0, 244, 0, 0, 0, 0, 0, -436, 0, 0, -1488, 0, 0, 180, 0, 0, -292, 0, 0, 0, 0, 0, 456, 0, 0, -12, 0, 0, -32, 0, 0, 172, 0, 0, 0, 0, 0, 240, 0, 0, 384, 0, 0, -792, 0, 0, 112, 0, 0, 0, 0, 0, 396, 0, 0, 44, 0, 0, -888, 0, 0, 120, 0, 0, 0, 0, 0, -36, 0, 0, 336, 0, 0, 360, 0, 0, 196, 0, 0, 0, 0, 0, -280, 0, 0, 236, 0, 0, -136, 0, 0, 92, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1220807
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4725.2.a.bi', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': True, 'target_label': '4725.2.a.bi', 'target_level': 4725, 'twist_class_label': '4725.2.a.bi', 'twist_class_level': 4725, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1220808
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4725.2.a.bi', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 36, 'target_is_minimal': True, 'target_label': '4725.2.a.bj', 'target_level': 4725, 'twist_class_label': '4725.2.a.bi', 'twist_class_level': 4725, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1220809
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4725.2.a.bi', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 37, 'target_is_minimal': True, 'target_label': '4725.2.a.bk', 'target_level': 4725, 'twist_class_label': '4725.2.a.bi', 'twist_class_level': 4725, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1220810
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4725.2.a.bi', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 38, 'target_is_minimal': True, 'target_label': '4725.2.a.bl', 'target_level': 4725, 'twist_class_label': '4725.2.a.bi', 'twist_class_level': 4725, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3687975
{'charpoly_factorization': [[[3, -5, 0, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 2}
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id: 3687976
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364156021, 'p': 3}
-
id: 3687977
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364156021, 'p': 5}
-
id: 3687978
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 153122387364156021, 'p': 7}
-
id: 3687979
{'charpoly_factorization': [[[-3, -4, 1, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 11}
-
id: 3687980
{'charpoly_factorization': [[[-1, -5, -4, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 13}
-
id: 3687981
{'charpoly_factorization': [[[-81, -8, 7, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 17}
-
id: 3687982
{'charpoly_factorization': [[[107, -44, -3, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 19}
-
id: 3687983
{'charpoly_factorization': [[[-3, -8, 1, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 23}
-
id: 3687984
{'charpoly_factorization': [[[3, -8, -1, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 29}
-
id: 3687985
{'charpoly_factorization': [[[-53, -47, 4, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 31}
-
id: 3687986
{'charpoly_factorization': [[[61, -38, 3, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 37}
-
id: 3687987
{'charpoly_factorization': [[[-681, -110, 5, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 41}
-
id: 3687988
{'charpoly_factorization': [[[-361, 157, -22, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 43}
-
id: 3687989
{'charpoly_factorization': [[[-123, -19, 10, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 47}
-
id: 3687990
{'charpoly_factorization': [[[147, 98, 19, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 53}
-
id: 3687991
{'charpoly_factorization': [[[-75, -104, -3, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 59}
-
id: 3687992
{'charpoly_factorization': [[[49, -49, 8, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 61}
-
id: 3687993
{'charpoly_factorization': [[[-1423, -105, 15, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 67}
-
id: 3687994
{'charpoly_factorization': [[[-57, -103, -4, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 71}
-
id: 3687995
{'charpoly_factorization': [[[-281, -81, 1, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 73}
-
id: 3687996
{'charpoly_factorization': [[[281, -81, -1, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 79}
-
id: 3687997
{'charpoly_factorization': [[[-291, -55, 10, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 83}
-
id: 3687998
{'charpoly_factorization': [[[-168, -92, -4, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 89}
-
id: 3687999
{'charpoly_factorization': [[[-296, -36, 10, 1], 1]], 'hecke_orbit_code': 153122387364156021, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '4725.2.a.bi', 'level': 4725, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 69516271
{'hecke_orbit_code': 153122387364156021, 'n': 1, 'trace_an': 3}
-
id: 69516272
{'hecke_orbit_code': 153122387364156021, 'n': 2, 'trace_an': 0}
-
id: 69516273
{'hecke_orbit_code': 153122387364156021, 'n': 3, 'trace_an': 0}
-
id: 69516274
{'hecke_orbit_code': 153122387364156021, 'n': 4, 'trace_an': 4}
-
id: 69516275
{'hecke_orbit_code': 153122387364156021, 'n': 5, 'trace_an': 0}
-
id: 69516276
{'hecke_orbit_code': 153122387364156021, 'n': 6, 'trace_an': 0}
-
id: 69516277
{'hecke_orbit_code': 153122387364156021, 'n': 7, 'trace_an': -3}
-
id: 69516278
{'hecke_orbit_code': 153122387364156021, 'n': 8, 'trace_an': -9}
-
id: 69516279
{'hecke_orbit_code': 153122387364156021, 'n': 9, 'trace_an': 0}
-
id: 69516280
{'hecke_orbit_code': 153122387364156021, 'n': 10, 'trace_an': 0}
-
id: 69516281
{'hecke_orbit_code': 153122387364156021, 'n': 11, 'trace_an': -1}
-
id: 69516282
{'hecke_orbit_code': 153122387364156021, 'n': 12, 'trace_an': 0}
-
id: 69516283
{'hecke_orbit_code': 153122387364156021, 'n': 13, 'trace_an': 4}
-
id: 69516284
{'hecke_orbit_code': 153122387364156021, 'n': 14, 'trace_an': 0}
-
id: 69516285
{'hecke_orbit_code': 153122387364156021, 'n': 15, 'trace_an': 0}
-
id: 69516286
{'hecke_orbit_code': 153122387364156021, 'n': 16, 'trace_an': 2}
-
id: 69516287
{'hecke_orbit_code': 153122387364156021, 'n': 17, 'trace_an': -7}
-
id: 69516288
{'hecke_orbit_code': 153122387364156021, 'n': 18, 'trace_an': 0}
-
id: 69516289
{'hecke_orbit_code': 153122387364156021, 'n': 19, 'trace_an': 3}
-
id: 69516290
{'hecke_orbit_code': 153122387364156021, 'n': 20, 'trace_an': 0}
-
id: 69516291
{'hecke_orbit_code': 153122387364156021, 'n': 21, 'trace_an': 0}
-
id: 69516292
{'hecke_orbit_code': 153122387364156021, 'n': 22, 'trace_an': -1}
-
id: 69516293
{'hecke_orbit_code': 153122387364156021, 'n': 23, 'trace_an': -1}
-
id: 69516294
{'hecke_orbit_code': 153122387364156021, 'n': 24, 'trace_an': 0}
-
id: 69516295
{'hecke_orbit_code': 153122387364156021, 'n': 25, 'trace_an': 0}
-
id: 69516296
{'hecke_orbit_code': 153122387364156021, 'n': 26, 'trace_an': 11}
-
id: 69516297
{'hecke_orbit_code': 153122387364156021, 'n': 27, 'trace_an': 0}
-
id: 69516298
{'hecke_orbit_code': 153122387364156021, 'n': 28, 'trace_an': -4}
-
id: 69516299
{'hecke_orbit_code': 153122387364156021, 'n': 29, 'trace_an': 1}
-
id: 69516300
{'hecke_orbit_code': 153122387364156021, 'n': 30, 'trace_an': 0}
-
id: 69516301
{'hecke_orbit_code': 153122387364156021, 'n': 31, 'trace_an': -4}
-
id: 69516302
{'hecke_orbit_code': 153122387364156021, 'n': 32, 'trace_an': -3}
-
id: 69516303
{'hecke_orbit_code': 153122387364156021, 'n': 33, 'trace_an': 0}
-
id: 69516304
{'hecke_orbit_code': 153122387364156021, 'n': 34, 'trace_an': 12}
-
id: 69516305
{'hecke_orbit_code': 153122387364156021, 'n': 35, 'trace_an': 0}
-
id: 69516306
{'hecke_orbit_code': 153122387364156021, 'n': 36, 'trace_an': 0}
-
id: 69516307
{'hecke_orbit_code': 153122387364156021, 'n': 37, 'trace_an': -3}
-
id: 69516308
{'hecke_orbit_code': 153122387364156021, 'n': 38, 'trace_an': -13}
-
id: 69516309
{'hecke_orbit_code': 153122387364156021, 'n': 39, 'trace_an': 0}
-
id: 69516310
{'hecke_orbit_code': 153122387364156021, 'n': 40, 'trace_an': 0}
-
id: 69516311
{'hecke_orbit_code': 153122387364156021, 'n': 41, 'trace_an': -5}
-
id: 69516312
{'hecke_orbit_code': 153122387364156021, 'n': 42, 'trace_an': 0}
-
id: 69516313
{'hecke_orbit_code': 153122387364156021, 'n': 43, 'trace_an': 22}
-
id: 69516314
{'hecke_orbit_code': 153122387364156021, 'n': 44, 'trace_an': -9}
-
id: 69516315
{'hecke_orbit_code': 153122387364156021, 'n': 45, 'trace_an': 0}
-
id: 69516316
{'hecke_orbit_code': 153122387364156021, 'n': 46, 'trace_an': 9}
-
id: 69516317
{'hecke_orbit_code': 153122387364156021, 'n': 47, 'trace_an': -10}
-
id: 69516318
{'hecke_orbit_code': 153122387364156021, 'n': 48, 'trace_an': 0}
-
id: 69516319
{'hecke_orbit_code': 153122387364156021, 'n': 49, 'trace_an': 3}
-
id: 69516320
{'hecke_orbit_code': 153122387364156021, 'n': 50, 'trace_an': 0}
-
id: 69516321
{'hecke_orbit_code': 153122387364156021, 'n': 51, 'trace_an': 0}
-
id: 69516322
{'hecke_orbit_code': 153122387364156021, 'n': 52, 'trace_an': 4}
-
id: 69516323
{'hecke_orbit_code': 153122387364156021, 'n': 53, 'trace_an': -19}
-
id: 69516324
{'hecke_orbit_code': 153122387364156021, 'n': 54, 'trace_an': 0}
-
id: 69516325
{'hecke_orbit_code': 153122387364156021, 'n': 55, 'trace_an': 0}
-
id: 69516326
{'hecke_orbit_code': 153122387364156021, 'n': 56, 'trace_an': 9}
-
id: 69516327
{'hecke_orbit_code': 153122387364156021, 'n': 57, 'trace_an': 0}
-
id: 69516328
{'hecke_orbit_code': 153122387364156021, 'n': 58, 'trace_an': -9}
-
id: 69516329
{'hecke_orbit_code': 153122387364156021, 'n': 59, 'trace_an': 3}
-
id: 69516330
{'hecke_orbit_code': 153122387364156021, 'n': 60, 'trace_an': 0}
-
id: 69516331
{'hecke_orbit_code': 153122387364156021, 'n': 61, 'trace_an': -8}
-
id: 69516332
{'hecke_orbit_code': 153122387364156021, 'n': 62, 'trace_an': -31}
-
id: 69516333
{'hecke_orbit_code': 153122387364156021, 'n': 63, 'trace_an': 0}
-
id: 69516334
{'hecke_orbit_code': 153122387364156021, 'n': 64, 'trace_an': -7}
-
id: 69516335
{'hecke_orbit_code': 153122387364156021, 'n': 65, 'trace_an': 0}
-
id: 69516336
{'hecke_orbit_code': 153122387364156021, 'n': 66, 'trace_an': 0}
-
id: 69516337
{'hecke_orbit_code': 153122387364156021, 'n': 67, 'trace_an': -15}
-
id: 69516338
{'hecke_orbit_code': 153122387364156021, 'n': 68, 'trace_an': -3}
-
id: 69516339
{'hecke_orbit_code': 153122387364156021, 'n': 69, 'trace_an': 0}
-
id: 69516340
{'hecke_orbit_code': 153122387364156021, 'n': 70, 'trace_an': 0}
-
id: 69516341
{'hecke_orbit_code': 153122387364156021, 'n': 71, 'trace_an': 4}
-
id: 69516342
{'hecke_orbit_code': 153122387364156021, 'n': 72, 'trace_an': 0}
-
id: 69516343
{'hecke_orbit_code': 153122387364156021, 'n': 73, 'trace_an': -1}
-
id: 69516344
{'hecke_orbit_code': 153122387364156021, 'n': 74, 'trace_an': -7}
-
id: 69516345
{'hecke_orbit_code': 153122387364156021, 'n': 75, 'trace_an': 0}
-
id: 69516346
{'hecke_orbit_code': 153122387364156021, 'n': 76, 'trace_an': -10}
-
id: 69516347
{'hecke_orbit_code': 153122387364156021, 'n': 77, 'trace_an': 1}
-
id: 69516348
{'hecke_orbit_code': 153122387364156021, 'n': 78, 'trace_an': 0}
-
id: 69516349
{'hecke_orbit_code': 153122387364156021, 'n': 79, 'trace_an': 1}
-
id: 69516350
{'hecke_orbit_code': 153122387364156021, 'n': 80, 'trace_an': 0}
-
id: 69516351
{'hecke_orbit_code': 153122387364156021, 'n': 81, 'trace_an': 0}
-
id: 69516352
{'hecke_orbit_code': 153122387364156021, 'n': 82, 'trace_an': 15}
-
id: 69516353
{'hecke_orbit_code': 153122387364156021, 'n': 83, 'trace_an': -10}
-
id: 69516354
{'hecke_orbit_code': 153122387364156021, 'n': 84, 'trace_an': 0}
-
id: 69516355
{'hecke_orbit_code': 153122387364156021, 'n': 85, 'trace_an': 0}
-
id: 69516356
{'hecke_orbit_code': 153122387364156021, 'n': 86, 'trace_an': 1}
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