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mf_newforms • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 144, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 28, 'char_orbit_label': 'bb', 'char_order': 12, 'char_parity': 1, 'char_values': [576, 12, [127, 325, 65], [12, 3, 4]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 241, 337, 529], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 16, 20, 8, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512654341538368, 'hecke_ring_generator_nbound': 7, '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, 144, 24, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '576.2.bb.d', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '144.2.x.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 24, 'qexp_display': 'q+(2-\\zeta_{12}^{2})q^{3}+(-2-2\\zeta_{12}+2\\zeta_{12}^{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '576.2.bb', 'trace_display': [0, 6, -8, 6], 'trace_hash': 1143466313789118674, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.955', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '47.791', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [2, 0, -1, 0], [0, 0, 0, 0], [-2, -2, 0, 2], [0, 0, 0, 0], [2, -1, -1, 1], [0, 0, 0, 0], [3, 0, -3, 0], [0, 0, 0, 0], [3, -2, -1, -1], [0, 0, 0, 0], [-1, 1, -3, -4], [0, 0, 0, 0], [-4, -2, 2, 4], [0, 0, 0, 0], [-4, 2, 0, -1], [0, 0, 0, 0], [1, -1, 1, -1], [0, 0, 0, 0], [3, -1, -3, 2], [0, 0, 0, 0], [-1, 3, -1, 0], [0, 0, 0, 0], [8, 3, -4, -3], [0, 0, 0, 0], [3, 0, -6, 0], [0, 0, 0, 0], [-2, -1, 1, -1], [0, 0, 0, 0], [4, 2, -4, -4], [0, 0, 0, 0], [5, -5, -4, 1], [0, 0, 0, 0], [-2, 0, 0, 2], [0, 0, 0, 0], [4, -2, -2, 4], [0, 0, 0, 0], [-5, -2, -2, -5], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [3, -5, 2, 2], [0, 0, 0, 0], [-6, 0, 6, 6], [0, 0, 0, 0], [0, 5, 1, 5], [0, 0, 0, 0], [-3, -2, 3, 4], [0, 0, 0, 0], [-8, 3, 4, -3], [0, 0, 0, 0], [-6, 4, 4, -6], [0, 0, 0, 0], [-2, 0, 4, 8], [0, 0, 0, 0], [3, -3, 0, 0], [0, 0, 0, 0], [-4, -4, 5, -1], [0, 0, 0, 0], [-6, 0, 6, -6], [0, 0, 0, 0], [3, 0, -6, 3], [0, 0, 0, 0], [0, 6, 14, 6], [0, 0, 0, 0], [-3, 3, -2, -5], [0, 0, 0, 0], [-3, 6, 0, -3], [0, 0, 0, 0], [4, 0, -8, -4], [0, 0, 0, 0], [-1, 0, 2, 8], [0, 0, 0, 0], [12, 3, -12, -6], [0, 0, 0, 0], [7, -7, -3, 4], [0, 0, 0, 0], [0, 0, 12, 0], [0, 0, 0, 0], [0, 0, -9, 0], [0, 0, 0, 0], [0, 1, 1, -1], [0, 0, 0, 0], [4, 4, 2, -6], [0, 0, 0, 0], [-3, -3, 3, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [-6, 2, 2, -6], [0, 0, 0, 0], [4, 0, -8, -6], [0, 0, 0, 0], [0, -2, 0, 4], [0, 0, 0, 0], [0, 1, -10, 1], [0, 0, 0, 0], [6, -9, -9, 6], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [2, 0, -1, 0], [-2, -2, 0, 2], [2, -1, -1, 1], [3, -2, -1, -1], [-1, 1, -3, -4], [-4, 2, 0, -1], [1, -1, 1, -1], [-1, 3, -1, 0], [-2, -1, 1, -1], [4, 2, -4, -4], [4, -2, -2, 4], [0, -3, 0, 0], [3, -5, 2, 2], [0, 5, 1, 5], [-6, 4, 4, -6], [-4, -4, 5, -1], [-6, 0, 6, -6], [-3, 3, -2, -5], [4, 0, -8, -4], [-1, 0, 2, 8], [0, 0, 12, 0], [0, 1, 1, -1], [0, 0, 0, 2], [0, 1, -10, 1], [-4, 0, 4, 4], [7, -3, 7, 0], [-7, 15, 15, -7], [8, -2, 2, -8], [0, 8, 0, -16], [1, 6, 0, -3], [5, -5, -3, 2], [4, 13, -2, -13], [7, 7, -8, 1], [3, 3, -5, 2], [2, 1, -1, -1], [-2, 2, -2, -4], [7, 0, 0, -7], [2, -4, 2, 0], [-6, -7, -1, 1], [-9, -8, 8, 9], [-3, 12, 12, -3], [0, -11, 5, -11], [-20, 1, 20, -2], [10, -10, -10, 10], [7, 0, -14, 13], [-3, 3, 3, 0], [0, -11, -3, -11], [7, 8, 1, -1], [5, 5, -5, 0], [3, 0, -6, -2], [21, 3, -21, -6], [0, 3, -18, 3], [4, -5, -5, 4], [5, -8, -5, 16], [14, 15, -7, -15], [4, 2, -2, -4], [-10, -12, 0, 6], [4, -17, 13, 13], [0, -10, 0, 10], [-13, -13, -7, 20], [7, 7, 1, -8], [12, 11, -11, -12], [-11, 3, -11, 0], [4, 25, -2, -25], [22, 15, -7, 7], [-8, -3, 11, 11], [-3, -12, 3, 24], [17, 17, -14, -3], [-10, -2, 8, -8], [0, -10, -3, -10], [-1, 0, 2, 13], [0, 14, -4, 14], [1, 1, -15, 14], [1, 13, 13, 1], [10, -2, -10, 4], [4, -13, 9, 9], [-12, -2, 2, 12], [12, 9, -12, -18], [-18, 1, -18, 0], [-1, 1, 17, 16], [-12, 18, -6, -6], [11, -6, 0, 3], [-4, 2, 0, -1], [-12, 16, 6, -16], [1, 13, -14, -14], [-12, -10, 0, 5], [12, 13, -6, -13], [-14, 7, 21, -21], [8, 6, -8, -12], [-4, -1, 1, 4], [0, -5, -17, -5], [-3, 0, 6, 11], [17, 17, -12, -5], [-6, 6, 5, -1], [-16, 0, 32, 0], [-4, 4, -8, -12], [0, 0, 0, -13], [9, 4, 4, 9], [-6, -6, 6, 6], [27, 13, -14, 14], [-23, -6, 6, 23], [-15, 15, 2, -13], [28, 3, -14, -3], [12, 12, -5, -7], [15, 24, 0, -12], [13, -15, 2, 2], [14, -4, 0, 2], [-4, -20, -4, 0], [2, -22, -1, 22], [-14, -18, 14, 36], [-12, 10, 10, -12], [13, -18, 13, 0], [23, -3, -20, -20], [-6, 0, 12, 28], [0, 9, -24, 9], [2, -2, -25, -23], [1, 0, -2, 15], [-15, 15, 1, -14], [0, 11, 11, -11], [-6, -6, 6, 0], [0, -6, 28, -6], [-4, 2, 2, 2], [17, -9, -9, 17], [-6, -15, -9, 9], [7, 10, -10, -7], [24, -18, -6, -6], [6, 12, 0, -6], [2, 35, -1, -35], [-11, 11, 19, 8], [-15, -17, 17, 15], [9, -13, 9, 0], [-10, -16, 10, 32], [-17, 8, 8, -17], [-6, 42, -6, 0], [-4, 14, 4, -28], [29, -18, -18, 29], [-31, 31, 35, 4], [-26, 26, 36, 10], [10, 0, -20, -11], [10, -11, -11, 10], [-18, 1, 17, 17], [6, 2, 6, 0], [-19, -4, -4, -19], [15, 26, -26, -15], [-8, -34, 4, 34], [6, 1, -7, -7], [16, -38, -8, 38], [-20, -20, 13, 7], [12, -4, 0, 2], [18, -18, -4, 14], [10, -20, 0, 10], [14, 1, -1, -14], [14, 14, 14, 0], [-9, 0, 9, 9], [0, 4, 2, 4], [15, 0, -30, -7], [0, -4, -30, -4], [18, 0, -36, -20], [2, -2, 6, 8], [11, -15, -26, 26], [-22, 0, 44, 21], [9, -5, 9, 0], [-17, -4, -4, -17], [-32, 7, 32, -14], [0, -16, 0, 16], [-2, 40, 0, -20], [-26, 12, 14, 14]], 'char_orbit_index': 28, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 13512654341538368, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [325, [0, 0, 0, 1]], [65, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '576.2.bb.d', 'level': 576, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'char_conductor': 144, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 28, 'char_orbit_label': 'bb', 'char_order': 12, 'char_parity': 1, 'char_values': [576, 12, [127, 325, 65], [12, 3, 4]], 'conrey_index': 49, 'cusp_dim': 352, 'dim': 88, 'eis_dim': 64, 'eis_new_dim': 16, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1855459426880, 'hecke_orbit_dims': [4, 4, 4, 4, 72], 'label': '576.2.bb', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 416, 'mf_new_dim': 104, 'num_forms': 5, 'prim_orbit_index': 24, 'relative_dim': 22, 'sturm_bound': 192, 'trace_bound': 5, 'trace_display': [0, 4, -2, 0], 'traces': [88, 0, 4, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 8, 0, -16, 0, 8, 0, -10, 0, 0, 0, 0, 0, -8, 0, -2, 0, 4, 0, -8, 0, 28, 0, -8, 0, 0, 0, 0, 0, 2, 0, -14, 0, 44, 0, 16, 0, 36, 0, -8, 0, 0, 0, 0, 0, -10, 0, -2, 0, 36, 0, -4, 0, 2, 0, -10, 0, 0, 0, 0, 0, -56, 0, -30, 0, 4, 0, -8, 0, 22, 0, -12, 0, 0, 0, 0, 0, 36, 0, -22, 0, -60, 0, -4, 0, -10, 0, 22, 0, 0, 0, 0, 0, -48, 0, -8, 0, -32, 0, -4, 0, 22, 0, -70, 0, 0, 0, 0, 0, -54, 0, -28, 0, 16, 0, 8, 0, -30, 0, 12, 0, 0, 0, 0, 0, 26, 0, 26, 0, -144, 0, -16, 0, -88, 0, -2, 0, 0, 0, 0, 0, -58, 0, -2, 0, -120, 0, -72, 0, 8, 0, 40, 0, 0, 0, 0, 0, -16, 0, 46, 0, 60, 0, -24, 0, -72, 0, -8, 0, 0, 0, 0, 0, 24, 0, 22, 0, -100, 0, -4, 0, -134, 0, 72, 0, 0, 0, 0, 0, 74, 0, -22, 0, -36, 0, -36, 0, -34, 0, -8, 0, 0, 0, 0, 0, 132, 0, -28, 0, 4, 0, -44, 0, -50, 0, -2, 0, 0, 0, 0, 0, 36, 0, 82, 0, 124, 0, -4, 0, -16, 0, 32, 0, 0, 0, 0, 0, 120, 0, -52, 0, 232, 0, -4, 0, -12, 0, 26, 0, 0, 0, 0, 0, 160, 0, 152, 0, -128, 0, -36, 0, 96, 0, -2, 0, 0, 0, 0, 0, 2, 0, 44, 0, 296, 0, -56, 0, 130, 0, 54, 0, 0, 0, 0, 0, 106, 0, -30, 0, 288, 0, -16, 0, -64, 0, 126, 0, 0, 0, 0, 0, 32, 0, 22, 0, 4, 0, 56, 0, 256, 0, -40, 0, 0, 0, 0, 0, 26, 0, 88, 0, 148, 0, -4, 0, 230, 0, 36, 0, 0, 0, 0, 0, -98, 0, -2, 0, 56, 0, -20, 0, -56, 0, -52, 0, 0, 0, 0, 0, -172, 0, 120, 0, 4, 0, -12, 0, 100, 0, -2, 0, 0, 0, 0, 0, 8, 0, 24, 0, -132, 0, 24, 0, 114, 0, -66, 0, 0, 0, 0, 0, -276, 0, -8, 0, -268, 0, 60, 0, -86, 0, 190, 0, 0, 0, 0, 0, -262, 0, 44, 0, -176, 0, 8, 0, -130, 0, -2, 0, 0, 0, 0, 0, -30, 0, -76, 0, -320, 0, -16, 0, -184, 0, 36, 0, 0, 0, 0, 0, -142, 0, 8, 0, -368, 0, -16, 0, -44, 0, -90, 0, 0, 0, 0, 0, -28, 0, -130, 0, -68, 0, 52, 0, -320, 0, -36, 0, 0, 0, 0, 0, -56, 0, -8, 0, -196, 0, -4, 0, -220, 0, -148, 0, 0, 0, 0, 0, 170, 0, -36, 0, -112, 0, 24, 0, 2, 0, 6, 0, 0, 0, 0, 0, 204, 0, 54, 0, -24, 0, 72, 0, -182, 0, 42, 0, 0, 0, 0, 0, -112, 0, -284, 0, 216, 0, -48, 0, -94, 0, -78, 0, 0, 0, 0, 0, 384, 0, 88, 0, 432, 0, 28, 0, -46, 0, -110, 0, 0, 0, 0, 0, 372, 0, -328, 0, 16, 0, 16, 0, 194, 0, 66, 0, 0, 0, 0, 0, -94, 0, -46, 0, 536, 0, -16, 0, 230, 0, -110, 0, 0, 0, 0, 0, 210, 0, 8, 0, 440, 0, 304, 0, 192, 0, -232, 0, 0, 0, 0, 0, 54, 0, -64, 0, -92, 0, 28, 0, 348, 0, -8, 0, 0, 0, 0, 0, -82, 0, -178, 0, 192, 0, -56, 0, 372, 0, -224, 0, 0, 0, 0, 0, -240, 0, 64, 0, -32, 0, -4, 0, 86, 0, 80, 0, 0, 0, 0, 0, -288, 0, -162, 0, 4, 0, 96, 0, 234, 0, 46, 0, 0, 0, 0, 0, -92, 0, -22, 0, -300, 0, -4, 0, 124, 0, 86, 0, 0, 0, 0, 0, -480, 0, -28, 0, -504, 0, -4, 0, 38, 0, -270, 0, 0, 0, 0, 0, -356, 0, -168, 0, 352, 0, -44, 0, -226, 0, -50, 0, 0, 0, 0, 0, -58, 0, 74, 0, -640, 0, -72, 0, -346, 0, -168, 0, 0, 0, 0, 0, -188, 0, -2, 0, -704, 0, 144, 0, 176, 0, 184, 0, 0, 0, 0, 0, -118, 0, 188, 0, 4, 0, 72, 0, -556, 0, -8, 0, 0, 0, 0, 0, -108, 0, -76, 0, -276, 0, -4, 0, -422, 0, 200, 0, 0, 0, 0, 0, 208, 0, 20, 0, -96, 0, 188, 0, 74, 0, -26, 0, 0, 0, 0, 0, 428, 0, -82, 0, 72, 0, 144, 0, -308, 0, 6, 0, 0, 0, 0, 0, 56, 0, 328, 0, 364, 0, -4, 0, -120, 0, 110, 0, 0, 0, 0, 0, 600, 0, 232, 0, 520, 0, -128, 0, 154, 0, 146, 0, 0, 0, 0, 0, 414, 0, 440, 0, 360, 0, 24, 0, 220, 0, 70, 0, 0, 0, 0, 0, 98, 0, -8, 0, 576, 0, -16, 0, 340, 0, 154, 0, 0, 0, 0, 0, 258, 0, 70, 0, 664, 0, -16, 0, 80, 0, 350, 0, 0, 0, 0, 0, 114, 0, 48, 0, 172, 0, -228, 0, 396, 0, -48, 0, 0, 0, 0, 0, 62, 0, 274, 0, 396, 0, -4, 0, 520, 0, 284, 0, 0, 0, 0, 0, -328, 0, 28, 0, -28, 0, 92, 0, 68, 0, -90, 0, 0, 0, 0, 0, -394, 0, 222, 0, 188, 0, -68, 0, 282, 0, 96, 0, 0, 0, 0, 0, 180, 0, 70, 0, -364, 0, 72, 0, -60, 0, -102, 0, 0, 0, 0, 0, -528, 0, -36, 0, -696, 0, -132, 0, 52, 0, 384, 0, 0, 0, 0, 0, -554, 0, 108, 0, 16, 0, -104, 0, -360, 0, -74, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 392741
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '144.2.x.b', 'target_level': 144, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392742
{'conductor': 144, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '144.2.x.b', 'target_level': 144, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '144.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 392743
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '144.2.x.c', 'target_level': 144, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392744
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '144.2.x.c', 'target_level': 144, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392745
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.y.b', 'target_level': 432, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392746
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.y.b', 'target_level': 432, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 392747
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '432.2.y.c', 'target_level': 432, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392748
{'conductor': 144, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '432.2.y.c', 'target_level': 432, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '144.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 392749
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '576.2.bb.c', 'target_level': 576, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 392750
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '576.2.bb.c', 'target_level': 576, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 392751
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '576.2.bb.d', 'target_level': 576, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 392752
{'conductor': 144, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '576.2.bb.d', 'target_level': 576, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '144.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 392753
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.2.bc.a', 'target_level': 1728, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392754
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.2.bc.a', 'target_level': 1728, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 392755
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.2.bc.d', 'target_level': 1728, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392756
{'conductor': 144, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 28, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '576.2.bb.d', 'source_level': 576, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.2.bc.d', 'target_level': 1728, 'twist_class_label': '144.2.x.b', 'twist_class_level': 144, 'twisting_char_label': '144.w', 'twisting_char_orbit': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1069175
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13512654341538368, 'p': 2}
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id: 1069176
{'charpoly_factorization': [[[3, -3, 1], 2]], 'hecke_orbit_code': 13512654341538368, 'p': 3}
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id: 1069177
{'charpoly_factorization': [[[16, 16, 20, 8, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 5}
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id: 1069178
{'charpoly_factorization': [[[4, -12, 14, -6, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 7}
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id: 1069179
{'charpoly_factorization': [[[169, -104, 41, -10, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 11}
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id: 1069180
{'charpoly_factorization': [[[484, 308, 74, 10, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 13}
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id: 1069181
{'charpoly_factorization': [[[13, 8, 1], 2]], 'hecke_orbit_code': 13512654341538368, 'p': 17}
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id: 1069182
{'charpoly_factorization': [[[9, -18, 18, -6, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 19}
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id: 1069183
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 23}
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id: 1069184
{'charpoly_factorization': [[[36, 36, 18, 6, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 29}
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id: 1069185
{'charpoly_factorization': [[[16, -32, 60, -8, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 31}
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id: 1069186
{'charpoly_factorization': [[[144, -144, 72, -12, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 37}
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id: 1069187
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 41}
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id: 1069188
{'charpoly_factorization': [[[121, 22, 65, -16, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 43}
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id: 1069189
{'charpoly_factorization': [[[5476, 148, 78, -2, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 47}
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id: 1069190
{'charpoly_factorization': [[[64, 128, 128, 16, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 53}
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id: 1069191
{'charpoly_factorization': [[[1521, 468, 45, 6, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 59}
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id: 1069192
{'charpoly_factorization': [[[1296, 864, 180, 12, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 61}
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id: 1069193
{'charpoly_factorization': [[[1369, 518, 113, 16, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 67}
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id: 1069194
{'charpoly_factorization': [[[1024, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 71}
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id: 1069195
{'charpoly_factorization': [[[3721, 0, 134, 0, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 73}
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id: 1069196
{'charpoly_factorization': [[[144, -12, 1], 2]], 'hecke_orbit_code': 13512654341538368, 'p': 79}
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id: 1069197
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 83}
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id: 1069198
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 13512654341538368, 'p': 89}
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id: 1069199
{'charpoly_factorization': [[[9409, 1940, 303, 20, 1], 1]], 'hecke_orbit_code': 13512654341538368, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 28, 'hecke_orbit': 4, 'label': '576.2.bb.d', 'level': 576, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 145872000
{'hecke_orbit_code': 13512654341538368, 'n': 1, 'trace_an': 4}
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id: 145872001
{'hecke_orbit_code': 13512654341538368, 'n': 2, 'trace_an': 0}
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id: 145872002
{'hecke_orbit_code': 13512654341538368, 'n': 3, 'trace_an': 6}
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id: 145872003
{'hecke_orbit_code': 13512654341538368, 'n': 4, 'trace_an': 0}
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id: 145872004
{'hecke_orbit_code': 13512654341538368, 'n': 5, 'trace_an': -8}
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id: 145872005
{'hecke_orbit_code': 13512654341538368, 'n': 6, 'trace_an': 0}
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id: 145872006
{'hecke_orbit_code': 13512654341538368, 'n': 7, 'trace_an': 6}
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