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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [507, 6, [170, 340], [6, 1]], 'cm_discs': [], 'conrey_index': 316, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [5, [12, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504218136216059, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '507.2.j.b', 'level': 507, '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, 13], 'level_radical': 39, 'minimal_twist': '39.2.j.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(1-\\zeta_{6})q^{3}-2\\zeta_{6}q^{4}+(2-4\\zeta_{6})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.2.j', 'trace_display': [0, 1, 0, 3], 'trace_hash': 2263028713141728117, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.118', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '99.082', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.182', 'prec': 17}, 'traces': [2, 0, 1, -2, 0, 0, 3, 0, -1, 0, 6, -4, 0, 0, -6, -4, 0, 0, -6, -12, 0, 0, 6, 0, -14, 0, -2, -6, -6, 0, 0, 0, 6, 0, -6, -2, 0, 0, 0, 0, 12, 0, 1, 0, -6, 0, 0, 4, -4, 0, 0, 0, 24, 0, 12, 0, 0, 0, 6, 0, -1, 0, -3, 16, 0, 0, -15, 0, -6, 0, 18, 0, 0, 0, -7, 12, 12, 0, -22, 24, -1, 0, 0, -6, 0, 0, 6, 0, -12, 0, 0, -24, -3, 0, 12, 0, 9, 0, 0, 14, 18, 0, -2, 0, -12, 0, 6, 2, 0, 0, 0, 0, -6, 0, -36, 24, 0, 0, 0, 0, 1, 0, 12, -6, 0, 0, -13, 0, 2, 0, 12, -12, -6, 0, 0, 0, 0, 0, -5, -12, -6, 0, 0, 8, 36, 0, 4, 0, 12, 0, 0, 0, 0, 0, -12, 0, 22, 0, 12, 0, 0, 0, 33, 0, -12, 0, 12, 0, 0, 0, 6, 2, 6, 0, -21, -24, 0, 0, -12, 12, 28, 0, -2, 0, 0, 0, 0, -12, -3, 0, 18, 8, 27, 0, 0, 16, -24, 0, -7, 0, -15, 0, 0, 0, 24, 0, -12, 0, -24, 0, -13, -24, 0, 0, 6, 0, -3, 0, -3, -48, 0, 0, -30, 0, 7, 0, -36, 12, 0, 0, 6, 0, -36, 0, -24, -12, -11, 0, 0, 24, -36, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, -1], [0, -2], [2, -4], [0, 0], [2, -1], [0, 0], [0, -1], [0, 0], [2, 2], [-2, 0], [0, 0], [0, 0], [-2, -2], [-4, 4], [0, 0], [0, 0], [-4, 2], [-8, 4], [1, -2], [0, 0], [6, -6], [0, 0], [-7, 0], [0, 0], [-1, 0], [-2, -2], [-6, 6], [0, 0], [1, -2], [0, 0], [4, -2], [0, 0], [0, -6], [-2, 2], [0, 0], [0, 0], [0, 0], [0, 0], [4, 4], [0, 0], [0, 1], [4, -8], [-4, 2], [0, 0], [2, -4], [0, 4], [-4, 4], [0, 0], [0, 0], [0, 0], [12, 0], [0, 0], [12, -12], [0, 0], [-2, 4], [0, 0], [4, -2], [-4, 8], [0, -1], [0, 0], [-1, -1], [8, 0], [0, 0], [0, 0], [-5, -5], [0, 0], [0, -6], [0, 0], [12, -6], [0, 0], [1, -2], [0, 0], [-7, 7], [4, 4], [6, 0], [0, 0], [-11, 0], [8, 8], [-1, 1], [0, 0], [-8, 16], [-4, 2], [0, 0], [0, 0], [0, 6], [0, 0], [-4, -4], [0, 0], [0, 0], [-12, 0], [-1, -1], [0, 0], [0, 12], [0, 0], [6, -3], [0, 0], [2, -4], [0, 14]], 'ap': [[0, 0], [1, -1], [2, -4], [2, -1], [2, 2], [0, 0], [0, 0], [-4, 2], [6, -6], [-6, 6], [1, -2], [0, 0], [4, 4], [0, 1], [2, -4], [12, 0], [4, -2], [0, -1], [-5, -5], [12, -6], [1, -2], [-11, 0], [-8, 16], [-4, -4], [6, -3], [18, -18], [-1, 0], [6, -6], [-9, 18], [0, -6], [-13, 13], [6, 0], [0, 0], [0, -5], [8, -4], [-2, 4], [11, 0], [22, -11], [4, 4], [0, 6], [-12, 12], [14, 0], [0, 18], [9, 9], [-8, -8], [0, -7], [-13, 13], [-10, -10], [-24, 12], [16, -32], [-18, 0], [0, 0], [-24, 12], [0, -12], [0, 0], [-12, 12], [0, 0], [3, 3], [0, 10], [-14, 28], [11, -11], [20, -10], [-1, 2], [-24, 0], [13, 0], [4, -8], [-6, 3], [-5, 0], [0, 24], [11, 11], [-6, -6], [4, -8], [-17, 17], [0, 11], [13, 13], [-32, 16], [12, 0], [-18, 9], [0, 0], [-10, 5], [12, -12], [-7, 14], [-12, -12], [0, 23], [-35, 35], [24, 0], [-44, 22], [21, 21], [48, -24], [-21, 42], [6, 0], [-20, -20], [28, -14], [-6, 6], [18, -36], [0, 30], [10, 10], [-24, 0], [28, -28], [-17, 34], [-19, 0], [16, 16], [0, 42], [6, -6], [-44, 0], [-20, 40], [18, 18], [2, -4], [-30, 0], [26, -26], [0, -8], [-5, -5], [12, -6], [15, -30], [-2, 1], [0, -18], [-22, 11], [18, -18], [-36, 36], [0, -48], [15, 15], [1, -1], [48, 0], [-28, 14], [-25, -25], [-12, 0], [22, -11], [0, 6], [-35, 0], [23, -46], [-26, -26], [6, 6], [-8, 8], [-34, 34], [24, -12], [4, 4], [60, -30], [-38, 19], [0, -12], [-12, 12], [-15, 30], [-14, -14], [0, -32], [28, -56], [-31, 31], [-36, 18], [-15, 30], [18, 0], [13, 0], [-10, 20], [-48, 24], [12, -12], [-5, 0], [42, -42], [44, -44], [-12, 0], [0, 32], [24, -12], [-14, 0], [-6, 12], [28, 28], [0, -6], [-14, 28], [0, -36], [16, 16], [-6, 12], [16, -16], [0, -35]], 'char_orbit_index': 10, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504218136216059, 'hecke_ring_character_values': [[170, [1, 0]], [340, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '507.2.j.b', 'level': 507, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [507, 6, [170, 340], [6, 1]], 'conrey_index': 316, 'cusp_dim': 94, 'dim': 54, 'eis_dim': 56, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 618508845563, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 8, 8, 12, 12], 'label': '507.2.j', 'level': 507, '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, 13], 'level_radical': 39, 'mf_dim': 150, 'mf_new_dim': 54, 'num_forms': 9, 'prim_orbit_index': 5, 'relative_dim': 27, 'sturm_bound': 121, 'trace_bound': 10, 'trace_display': [0, -1, 0, 3], 'traces': [54, 0, -1, 30, 0, 0, 3, 0, -27, -4, 6, 12, 0, -8, -6, -20, -4, 0, -6, -12, 0, 8, -10, 0, -34, 0, 2, -6, 14, -4, 0, 0, 6, 0, 10, 30, 0, 8, 0, -24, 12, 0, -13, 0, -6, 0, 0, 4, 24, 0, 8, 0, -56, 0, 0, -12, 0, 0, 6, 0, 17, -16, -3, -32, 0, -8, -15, 24, 2, 0, 18, 0, 0, 12, -1, 12, 20, 0, -2, 24, -27, -20, 0, -6, 0, 0, -2, -24, -12, 8, 0, -32, -3, 12, -32, 0, 9, 0, 0, -18, -34, 0, 34, 0, 4, 0, 14, -6, 0, 0, 0, 0, 18, -4, -36, 32, 0, -40, 0, 12, 15, 0, 12, -6, 0, 4, 45, 0, -106, 0, -36, -12, -26, -24, 0, 0, 0, 0, -27, -36, -6, 88, 0, 40, 36, 40, 48, 0, 12, 0, 0, 56, -4, 0, 68, 0, 34, 0, -4, -60, 0, 0, 33, 0, 28, -32, 12, 32, 0, 248, 6, 58, 134, 0, -21, -24, 0, -132, -8, 12, 36, 0, 90, 0, -148, -16, 0, -12, -3, 0, 10, -28, 27, -272, 0, -112, -24, 8, 31, 0, -15, 0, 0, 16, 104, 0, 20, 0, -56, 0, 45, -52, 0, 0, 6, 0, -13, 100, -3, 216, 0, -40, -30, 72, 17, 0, -36, 12, 0, 84, -26, 0, -204, 0, -48, -12, -25, -68, 0, 24, -36, 0, -1, -78, 24, 40, 0, -160, 24, -100, -28, 0, 36, 0, 0, 64, -40, 0, -48, 0, -28, 0, 48, -28, 0, 0, -12, 0, -136, -4, 9, 192, 0, -168, -42, 44, -58, 0, -3, 0, 0, 12, 5, -36, -8, 0, -120, 0, 11, 88, 0, -6, 30, 0, 76, 252, -6, -560, 0, -100, 3, -268, 6, 0, -6, 0, 0, -212, 45, 0, 168, 0, 222, 0, 10, 218, 0, 0, -36, 0, 22, -80, 0, -60, 0, 544, 27, 92, -62, 0, -9, 48, 0, 64, -18, 12, -6, 0, -36, 0, 54, -4, 0, 0, -36, 0, 40, -40, 33, 256, 0, 504, -18, 28, -8, 0, 0, 0, 0, 12, -25, 0, 30, 0, 204, 0, 17, 208, 0, 0, 36, 0, 61, -116, 12, 216, 0, 0, 39, 104, -37, 0, -48, 0, 0, -236, -13, -18, 144, 0, -168, 0, 14, 88, 0, -12, -27, 0, -42, -156, 0, 80, 0, -120, 6, -208, -60, 0, -15, 0, 0, 110, -86, 0, 40, 0, -22, 0, 36, -64, 0, 0, -6, 0, -96, -36, -3, -392, 0, -248, -36, 4, -51, 0, 36, 54, 0, 32, -29, 0, -48, 0, -176, 0, 120, -116, 0, 24, -66, 0, 36, 252, 6, 176, 0, -96, 63, -72, -4, 0, 72, 0, 0, 156, -18, 0, 100, 0, -10, 0, 13, -124, 0, 0, 42, 0, 28, 232, -60, 120, 0, -248, -18, 110, -82, 0, 42, 0, 0, 164, -62, -24, -176, 0, 0, 12, 66, -44, 0, 24, 12, 0, 38, -12, -108, -440, 0, 100, 30, 52, 147, 0, 6, 0, 0, -182, -108, 0, 44, 0, -104, 0, -180, -108, 0, 0, 0, 0, 57, 8, -6, -120, 0, -104, -36, -180, -32, 0, -24, 12, 0, 136, 186, 0, 68, 0, -2, 0, 17, -196, 0, 0, -33, 0, 36, 74, 48, 32, 0, -544, 0, 108, -146, 0, -36, 0, 0, -152, 62, 0, -152, 0, -84, 0, 186, 16, 0, 0, 27, 0, 80, -60, 72, 304, 0, -296, 54, -180, -46, 0, -24, 0, 0, 4, -140, -24, 94, 0, -76, 0, 54, 160, 0, 12, 6, 0, -128, -196, 18, 48, 0, -48, -15, 160, -16, 0, 18, 0, 0, 192, 2, 0, 248, 0, -178, 0, 44, 86, 0, 0, -3, 0, -25, 224, 78, -512, 0, 320, -18, -80, -78, 0, -33, -36, 0, -152, -110, 0, 216, 0, 390, -66, -16, 288, 0, -48, -3, 0, 172, -48, 45, 296, 0, 312, 36, 12, -168, 0, -30, 0, 0, 84, -105, 0, 2, 0, 672, 0, 43, 264, 0, 0, -42, 0, -396, -188, -48, 448, 0, 568, -75, -340, -10, 0, -30, 0, 0, -28, -26, 42, -784, 0, 208, 48, 60, 168, 0, -12, 33, 0, 1, 288, -18, 112, 0, 264, 0, 188, -94, 0, -3, 0, 0, -88, 314, 0, 206, 0, 54, 0, 112, 158, 0, 0, 24, 0, 154, -20, -78, -560, 0, -360, 18, -276, 68, 0, 24, 0, 0, 80, -104, 24, 96, 0, -352, 6, -354, 176, 0, 0, 36, 0, -135, -264, 0, -264, 0, -112, 12, 280, -48, 0, 90, 0, 0, -308, 12, 0, 288, 0, -344, 0, -2, -260, 0, 0, -57, 0, 44, 116, -18, 48, 0, -24, -72, -34, 412, 0, 0, 0, 0, -152, 210, 30, -224, 0, -88, 0, -200, -4, 0, 36, 9, 0, -102, 252, -6, 416, 0, 576, -42, 60, 248, 0, -42, 0, 0, 16, -33, 0, -388, 0, 328, 0, 120, -308, 0, 0, -54, 0, 127, -176, 42, -284, 0, -24, 3, 0, -37, 0, 0, -36, 0, 200, -32, 0, 212, 0, 374, -12, 40, -188, 0, 0, 36, 0, 57, -66, -66, 200, 0, 448, -9, -116, 116, 0, -72, 0, 0, 292, -168, 0, 186, 0, -72, 0, 122, -104, 0, 0, -6, 0, -208, -68, 72, -32, 0, -120, 18, -18, 340, 0, 3, 0, 0, -256, -8, 72, 68, 0, -240, -24, -116, -176, 0, -96, 18, 0, 116, -356, 3, 392, 0, -208, 0, 220, -17, 0, 36, 0, 0, -296, -8, 0, -288, 0, -212, 0, -33, 16, 0, 0, 72, 0, -2, 92, 84, -300, 0, -560, -12, 332, 34, 0, 108, 0, 0, 240, 164, -48, 128, 0, -28, 72, -406, -88, 0, 0, 0, 0, 220, -6, -15, 512, 0, 16, 48, 96, -144, 0, 27, 0, 0, 108, 252, 0, 156, 0, -340, 0, -84, -348, 0, 0, -42, 0, 151, 140, 0, -352], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 358746
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.j.a', 'target_level': 39, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358747
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.j.a', 'target_level': 39, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358748
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.q.a', 'target_level': 117, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358749
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.q.a', 'target_level': 117, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358750
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.a.e', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358751
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.b.c', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358752
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.b.c', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358753
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.e.f', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358754
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.e.f', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358755
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.2.j.b', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 358756
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.2.j.b', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358757
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 48, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.2.bv.b', 'target_level': 624, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358758
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 48, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.2.bv.b', 'target_level': 624, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 358759
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.w.d', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358760
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.w.d', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 358761
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 29, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '975.2.bc.c', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358762
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 29, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '975.2.bc.c', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 358763
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1521.2.a.h', 'target_level': 1521, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 358764
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1521.2.b.f', 'target_level': 1521, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358765
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1521.2.b.f', 'target_level': 1521, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358766
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 51, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1872.2.by.f', 'target_level': 1872, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358767
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 51, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1872.2.by.f', 'target_level': 1872, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 358768
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '507.2.j.b', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '8112.2.a.bu', 'target_level': 8112, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 980575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504218136216059, 'p': 2}
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id: 980576
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 3}
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id: 980577
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 5}
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id: 980578
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 7}
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id: 980579
{'charpoly_factorization': [[[12, -6, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 11}
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id: 980580
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504218136216059, 'p': 13}
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id: 980581
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504218136216059, 'p': 17}
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id: 980582
{'charpoly_factorization': [[[12, 6, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 19}
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id: 980583
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 23}
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id: 980584
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 29}
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id: 980585
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 31}
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id: 980586
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504218136216059, 'p': 37}
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id: 980587
{'charpoly_factorization': [[[48, -12, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 41}
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id: 980588
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 43}
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id: 980589
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 47}
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id: 980590
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 4504218136216059, 'p': 53}
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id: 980591
{'charpoly_factorization': [[[12, -6, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 59}
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id: 980592
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 61}
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id: 980593
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 67}
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id: 980594
{'charpoly_factorization': [[[108, -18, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 71}
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id: 980595
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 73}
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id: 980596
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 4504218136216059, 'p': 79}
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id: 980597
{'charpoly_factorization': [[[192, 0, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 83}
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id: 980598
{'charpoly_factorization': [[[48, 12, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 89}
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id: 980599
{'charpoly_factorization': [[[27, -9, 1], 1]], 'hecke_orbit_code': 4504218136216059, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 2, 'label': '507.2.j.b', 'level': 507, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23495005
{'hecke_orbit_code': 4504218136216059, 'n': 1, 'trace_an': 2}
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id: 23495006
{'hecke_orbit_code': 4504218136216059, 'n': 2, 'trace_an': 0}
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id: 23495007
{'hecke_orbit_code': 4504218136216059, 'n': 3, 'trace_an': 1}
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id: 23495008
{'hecke_orbit_code': 4504218136216059, 'n': 4, 'trace_an': -2}
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id: 23495009
{'hecke_orbit_code': 4504218136216059, 'n': 5, 'trace_an': 0}
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id: 23495010
{'hecke_orbit_code': 4504218136216059, 'n': 6, 'trace_an': 0}
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id: 23495011
{'hecke_orbit_code': 4504218136216059, 'n': 7, 'trace_an': 3}
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id: 23495012
{'hecke_orbit_code': 4504218136216059, 'n': 8, 'trace_an': 0}
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id: 23495013
{'hecke_orbit_code': 4504218136216059, 'n': 9, 'trace_an': -1}
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