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mf_newforms • Show schema
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{'Nk2': 1300, 'analytic_conductor': 2.5951380656916125, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [325, 2, [27, 301], [1, 2]], 'cm_discs': [], 'conrey_index': 274, 'conrey_indexes': [274], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 6, 0, 1]], [3, [2, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518066889883973, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '325.2.b.f', 'level': 325, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'minimal_twist': '65.2.a.b', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(\\zeta_{8}+\\zeta_{8}^{2})q^{2}-\\zeta_{8}^{2}q^{3}+(-1-2\\zeta_{8}^{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '325.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 173861361948380084, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.707', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.456', 'prec': 17}, {'__RealLiteral__': 0, 'data': '70.244', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.209', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 1, 0], [0, 0, -1, 0], [-1, 0, 0, -2], [0, 0, 0, 0], [2, 0, 0, 1], [0, -2, -2, 0], [0, -3, -1, 0], [1, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 1], [0, 4, 1, 0], [0, -1, 0, 0], [6, 0, 0, 4], [0, 0, 0, 0], [3, 0, 0, 0], [0, 2, -2, 0], [0, 1, 1, 0], [-2, 0, 0, 1], [0, 0, 0, 0], [-4, 0, 0, -2], [0, 4, 3, 0], [0, 0, 1, 0], [-2, 0, 0, -3], [0, 0, 0, 0], [1, 0, 0, 1], [0, 0, -4, 0], [0, 10, 6, 0], [0, 0, 0, 4], [0, 0, 0, 0], [6, 0, 0, -3], [0, -3, 1, 0], [0, -2, -2, 0], [2, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, -2], [0, 0, 6, 0], [0, 0, -1, 0], [0, 0, 0, -1], [0, 0, 0, 0], [-6, 0, 0, 2], [0, -8, -6, 0], [0, -4, -5, 0], [-6, 0, 0, -5], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 2, 2, 0], [0, 0, -3, 0], [-5, 0, 0, -8], [0, 0, 0, 0], [-4, 0, 0, 2], [0, 1, 2, 0], [0, -6, 6, 0], [8, 0, 0, 4], [0, 0, 0, 0], [-10, 0, 0, -8], [0, -2, 2, 0], [0, 8, 4, 0], [-6, 0, 0, 3], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 3, 0], [0, -2, -2, 0], [7, 0, 0, 2], [0, 0, 0, 0], [6, 0, 0, 4], [0, 2, 0, 0], [0, 6, -2, 0], [2, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 7], [0, -3, -1, 0], [0, 0, 6, 0], [-12, 0, 0, -6], [0, 0, 0, 0], [-2, 0, 0, 3], [0, -8, -6, 0], [0, -2, -1, 0], [0, 0, 0, 6], [0, 0, 0, 0], [-5, 0, 0, 0], [0, -2, -4, 0], [0, -6, 2, 0], [12, 0, 0, 10], [0, 0, 0, 0], [14, 0, 0, 9], [0, -8, 0, 0], [0, -8, -5, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -2], [0, -4, -1, 0], [0, 6, -6, 0], [-6, 0, 0, -4], [0, 0, 0, 0], [2, 0, 0, -3], [0, 2, 4, 0], [0, -21, -13, 0], [2, 0, 0, 1], [0, 0, 0, 0]], 'ap': [[0, 1, 1, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, -2, -2, 0], [2, 0, 0, 1], [0, -1, 0, 0], [0, 2, -2, 0], [-2, 0, 0, 1], [0, 0, 1, 0], [0, 0, 0, 4], [6, 0, 0, -3], [0, 0, 6, 0], [-6, 0, 0, 2], [0, -4, -5, 0], [0, 2, 2, 0], [0, -6, 6, 0], [-6, 0, 0, 3], [-8, 0, 0, 0], [0, 2, 0, 0], [2, 0, 0, 7], [0, 0, 6, 0], [0, 0, 0, 6], [0, -6, 2, 0], [-6, 0, 0, 0], [0, 2, 4, 0], [2, 0, 0, -4], [0, 16, -1, 0], [0, 8, 1, 0], [2, 0, 0, 0], [0, -6, -2, 0], [0, 8, -1, 0], [0, 0, 0, -12], [0, 6, 8, 0], [4, 0, 0, -6], [6, 0, 0, 4], [14, 0, 0, -3], [0, -18, 0, 0], [0, 2, 12, 0], [0, 6, -2, 0], [0, 14, 2, 0], [0, 0, 0, -4], [0, 0, 0, 0], [8, 0, 0, -4], [0, 10, -4, 0], [0, 6, -12, 0], [-4, 0, 0, 0], [-8, 0, 0, 8], [0, 18, -6, 0], [0, 22, -4, 0], [2, 0, 0, 2], [0, 2, -16, 0], [2, 0, 0, 1], [-6, 0, 0, -6], [0, 0, 0, 14], [0, -22, -4, 0], [0, -12, 1, 0], [14, 0, 0, 8], [14, 0, 0, 9], [0, 10, 2, 0], [2, 0, 0, 14], [0, -4, -9, 0], [0, 12, 10, 0], [0, -22, -2, 0], [0, 0, 0, 6], [0, -2, -2, 0], [0, -12, 10, 0], [-2, 0, 0, -17], [0, -10, -2, 0], [0, 0, 3, 0], [-10, 0, 0, -6], [0, 12, 2, 0], [18, 0, 0, -7], [0, -20, -11, 0], [0, -14, 8, 0], [-22, 0, 0, -5], [0, 2, -22, 0], [-6, 0, 0, -16], [0, 8, -14, 0], [6, 0, 0, -8], [-10, 0, 0, 2], [-8, 0, 0, -2], [-18, 0, 0, -12], [22, 0, 0, 13], [0, 2, 4, 0], [16, 0, 0, -12], [0, -8, -1, 0], [2, 0, 0, 22], [0, 18, 0, 0], [18, 0, 0, -6], [0, -10, 4, 0], [0, 12, 1, 0], [18, 0, 0, 9], [0, -6, 12, 0], [8, 0, 0, -2], [-26, 0, 0, -11], [0, 28, 7, 0], [-10, 0, 0, -22], [-12, 0, 0, -4], [0, -24, 3, 0], [-10, 0, 0, 2], [0, 8, -15, 0], [0, 16, 14, 0], [0, -12, 3, 0], [16, 0, 0, -4], [-20, 0, 0, 6], [0, 32, 2, 0], [0, -26, 4, 0], [0, -2, -16, 0], [0, 0, 0, -18], [-22, 0, 0, -16], [0, -36, 3, 0], [0, -26, 8, 0], [0, 6, -12, 0], [-6, 0, 0, 3], [-14, 0, 0, 3], [42, 0, 0, 4], [0, 18, -6, 0], [0, -8, -1, 0], [0, 30, 12, 0], [-32, 0, 0, 10], [-10, 0, 0, 28], [0, -2, 6, 0], [0, 6, 10, 0], [0, 22, -8, 0], [14, 0, 0, -5], [26, 0, 0, -8], [-14, 0, 0, -22], [-12, 0, 0, -12], [0, 16, 25, 0], [0, 10, 8, 0], [-18, 0, 0, 9], [0, -30, 6, 0], [-36, 0, 0, 6], [0, 10, 10, 0], [-14, 0, 0, 16], [6, 0, 0, 12], [0, -8, -10, 0], [0, -14, -6, 0], [0, 6, 12, 0], [0, 0, 0, -32], [-10, 0, 0, -13], [-6, 0, 0, -32], [0, 16, -13, 0], [0, -42, -10, 0], [-24, 0, 0, -12], [6, 0, 0, -9], [0, 12, -18, 0], [0, -6, -4, 0], [8, 0, 0, 14], [0, -6, -18, 0], [0, -14, -8, 0], [36, 0, 0, -12], [0, -28, 3, 0], [0, 4, 13, 0], [0, 12, -15, 0], [-12, 0, 0, 0], [8, 0, 0, -6], [-14, 0, 0, -2], [0, 6, 12, 0], [-18, 0, 0, 26], [0, 14, -22, 0], [0, -10, 32, 0], [0, -14, -24, 0], [16, 0, 0, 20], [0, 48, -6, 0], [0, -18, 12, 0], [32, 0, 0, 12], [0, -26, -2, 0]], 'char_orbit_index': 2, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 22518066889883973, 'hecke_ring_character_values': [[27, [-1, 0, 0, 0]], [301, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 1, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '325.2.b.f', 'level': 325, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1300, 'analytic_conductor': 2.5951380656916125, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [325, 2, [27, 301], [1, 2]], 'conrey_index': 274, 'cusp_dim': 30, 'dim': 18, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 68753031493, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4], 'label': '325.2.b', 'level': 325, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 42, 'mf_new_dim': 18, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 18, 'sturm_bound': 70, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [18, 0, 0, -10, 0, -12, 0, 0, -14, 0, 12, 0, 0, -4, 0, 2, 0, 0, 8, 0, -12, 0, 0, 8, 0, 6, 0, 0, 28, 0, 8, 0, 0, 0, 0, 18, 0, 0, -8, 0, 0, 0, 0, -76, 0, -28, 0, 0, -22, 0, 0, 0, 0, 92, 0, -44, 0, 0, -48, 0, -44, 0, 0, 70, 0, -8, 0, 0, 28, 0, 52, 0, 0, 4, 0, -40, 0, 0, -12, 0, -30, 0, 0, 80, 0, 84, 0, 0, 16, 0, 0, 0, 0, 4, 0, 32, 0, 0, -76, 0, -44, 0, 0, -18, 0, -44, 0, 0, -12, 0, 28, 0, 0, -64, 0, -40, 0, 0, 60, 0, 70, 0, 0, -76, 0, 28, 0, 0, 60, 0, 44, 0, 0, 52, 0, -32, 0, 0, 20, 0, 24, 0, 0, -26, 0, -36, 0, 0, -48, 0, -16, 0, 0, -52, 0, -24, 0, 0, -20, 0, 20, 0, 0, 20, 0, 68, 0, 0, -18, 0, -40, 0, 0, -60, 0, 76, 0, 0, -12, 0, -112, 0, 0, 112, 0, -104, 0, 0, -52, 0, 28, 0, 0, -4, 0, 86, 0, 0, -4, 0, 56, 0, 0, -48, 0, 84, 0, 0, -88, 0, 32, 0, 0, -76, 0, -40, 0, 0, 36, 0, 8, 0, 0, -12, 0, 40, 0, 0, 56, 0, -104, 0, 0, -2, 0, 60, 0, 0, -68, 0, 4, 0, 0, 72, 0, 32, 0, 0, 108, 0, -24, 0, 0, 4, 0, 2, 0, 0, 184, 0, -40, 0, 0, 160, 0, -32, 0, 0, 52, 0, -12, 0, 0, -28, 0, 80, 0, 0, 4, 0, -32, 0, 0, -72, 0, 52, 0, 0, 86, 0, 44, 0, 0, -196, 0, -36, 0, 0, -24, 0, -84, 0, 0, -48, 0, -88, 0, 0, 36, 0, 68, 0, 0, 24, 0, -72, 0, 0, -36, 0, -76, 0, 0, -10, 0, -64, 0, 0, 52, 0, -76, 0, 0, -88, 0, -200, 0, 0, -156, 0, -92, 0, 0, -104, 0, 72, 0, 0, 88, 0, 8, 0, 0, 192, 0, -140, 0, 0, 52, 0, 42, 0, 0, 12, 0, -76, 0, 0, 12, 0, 160, 0, 0, 204, 0, 116, 0, 0, -84, 0, 180, 0, 0, 8, 0, 76, 0, 0, -104, 0, 8, 0, 0, 12, 0, 52, 0, 0, 128, 0, -104, 0, 0, 16, 0, 132, 0, 0, 64, 0, 12, 0, 0, 8, 0, 2, 0, 0, -84, 0, -56, 0, 0, -144, 0, 192, 0, 0, 40, 0, 28, 0, 0, 172, 0, -116, 0, 0, -88, 0, -118, 0, 0, -176, 0, -160, 0, 0, 28, 0, -136, 0, 0, 12, 0, 176, 0, 0, -64, 0, 100, 0, 0, -16, 0, 224, 0, 0, 124, 0, -168, 0, 0, -108, 0, 76, 0, 0, -180, 0, -16, 0, 0, -158, 0, 192, 0, 0, 180, 0, 4, 0, 0, 0, 0, -92, 0, 0, -80, 0, 124, 0, 0, -164, 0, -144, 0, 0, -152, 0, 144, 0, 0, 188, 0, 192, 0, 0, -16, 0, -144, 0, 0, 8, 0, -120, 0, 0, -70, 0, 348, 0, 0, -232, 0, 12, 0, 0, 8, 0, -144, 0, 0, 168, 0, -80, 0, 0, 24, 0, -104, 0, 0, -120, 0, 16, 0, 0, 8, 0, 176, 0, 0, 88, 0, -144, 0, 0, 52, 0, 32, 0, 0, -16, 0, -30, 0, 0, 64, 0, 140, 0, 0, 156, 0, -236, 0, 0, 24, 0, -84, 0, 0, 296, 0, -20, 0, 0, 148, 0, -52, 0, 0, 84, 0, -44, 0, 0, -156, 0, 60, 0, 0, 24, 0, -84, 0, 0, -76, 0, 28, 0, 0, 8, 0, 52, 0, 0, 88, 0, 120, 0, 0, -100, 0, 112, 0, 0, -56, 0, 92, 0, 0, 72, 0, 40, 0, 0, -276, 0, -56, 0, 0, -264, 0, -108, 0, 0, -52, 0, -156, 0, 0, 20, 0, -4, 0, 0, -232, 0, -28, 0, 0, 204, 0, 10, 0, 0, 8, 0, 48, 0, 0, 368, 0, -372, 0, 0, 8, 0, 56, 0, 0, -76, 0, -216, 0, 0, 196, 0, 116, 0, 0, 148, 0, 124, 0, 0, -20, 0, -384, 0, 0, -192, 0, 56, 0, 0, 116, 0, 156, 0, 0, 128, 0, -564, 0, 0, 70, 0, -40, 0, 0, 340, 0, 248, 0, 0, 48, 0, -16, 0, 0, -96, 0, -44, 0, 0, -4, 0, -52, 0, 0, 68, 0, 40, 0, 0, 128, 0, 56, 0, 0, -104, 0, 120, 0, 0, -128, 0, 124, 0, 0, 128, 0, 52, 0, 0, -16, 0, 144, 0, 0, -150, 0, -44, 0, 0, -136, 0, 100, 0, 0, 268, 0, 168, 0, 0, 36, 0, -100, 0, 0, -200, 0, -52, 0, 0, -52, 0, 196, 0, 0, 128, 0, 208, 0, 0, -68, 0, 32, 0, 0, 80, 0, -12, 0, 0, -76, 0, -228, 0, 0, -236, 0, -296, 0, 0, 76, 0, -58, 0, 0, -384, 0, -52, 0, 0, -320, 0, 228, 0, 0, -260, 0, 328, 0, 0, -144, 0, 80, 0, 0, 24, 0, -144, 0, 0, 240, 0, -4, 0, 0, -128, 0, 144, 0, 0, 240, 0, 20, 0, 0, 88, 0, 24, 0, 0, 28, 0, -60, 0, 0, 112, 0, 84, 0, 0, -136, 0, -68, 0, 0, 124, 0, 304, 0, 0, 64, 0, -252, 0, 0, -28, 0, -172, 0, 0, 176, 0, -48, 0, 0, 656, 0, 292, 0, 0, -188, 0, -288, 0, 0, -356, 0, 66, 0, 0, -172, 0, -204, 0, 0, -180, 0, 144, 0, 0, 48, 0, 88, 0, 0, 80, 0, -12, 0, 0, 80, 0, 214, 0, 0, -164, 0, 120, 0, 0, -48, 0, 160, 0, 0, -148, 0, -32, 0, 0, -88, 0, -172, 0, 0, -288, 0, -100, 0, 0, 44, 0, 4, 0, 0, 256, 0, -16, 0, 0, 212, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 250132
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '65.2.a.b', 'target_level': 65, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 250133
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '325.2.a.i', 'target_level': 325, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 250134
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '325.2.b.f', 'target_level': 325, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 250135
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '325.2.b.f', 'target_level': 325, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 250136
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '585.2.a.m', 'target_level': 585, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250137
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '845.2.a.g', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 250138
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.c.b', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 250139
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.c.b', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 250140
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.e.c', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 250141
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '845.2.e.h', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 250142
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.m.f', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 250143
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.m.f', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 250144
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1040.2.a.j', 'target_level': 1040, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250145
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2925.2.a.u', 'target_level': 2925, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250146
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2925.2.c.r', 'target_level': 2925, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 250147
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2925.2.c.r', 'target_level': 2925, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 250148
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3185.2.a.j', 'target_level': 3185, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 250149
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4160.2.a.z', 'target_level': 4160, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 250150
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '4160.2.a.bf', 'target_level': 4160, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 250151
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4225.2.a.r', 'target_level': 4225, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 250152
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '5200.2.a.bu', 'target_level': 5200, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250153
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '7605.2.a.x', 'target_level': 7605, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 250154
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7865.2.a.j', 'target_level': 7865, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250155
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '325.2.b.f', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '9360.2.a.cd', 'target_level': 9360, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 712950
{'charpoly_factorization': [[[1, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 2}
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id: 712951
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 3}
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id: 712952
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518066889883973, 'p': 5}
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id: 712953
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 7}
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id: 712954
{'charpoly_factorization': [[[2, -4, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 11}
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id: 712955
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 13}
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id: 712956
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 17}
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id: 712957
{'charpoly_factorization': [[[2, 4, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 19}
-
id: 712958
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 23}
-
id: 712959
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 29}
-
id: 712960
{'charpoly_factorization': [[[18, -12, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 31}
-
id: 712961
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 37}
-
id: 712962
{'charpoly_factorization': [[[28, 12, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 41}
-
id: 712963
{'charpoly_factorization': [[[1156, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 43}
-
id: 712964
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 47}
-
id: 712965
{'charpoly_factorization': [[[1296, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 53}
-
id: 712966
{'charpoly_factorization': [[[18, 12, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 59}
-
id: 712967
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 22518066889883973, 'p': 61}
-
id: 712968
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 67}
-
id: 712969
{'charpoly_factorization': [[[-94, -4, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 71}
-
id: 712970
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 73}
-
id: 712971
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 22518066889883973, 'p': 79}
-
id: 712972
{'charpoly_factorization': [[[784, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 83}
-
id: 712973
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 22518066889883973, 'p': 89}
-
id: 712974
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 22518066889883973, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 6, 'label': '325.2.b.f', 'level': 325, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 170558000
{'hecke_orbit_code': 22518066889883973, 'n': 1, 'trace_an': 4}
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id: 170558001
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{'hecke_orbit_code': 22518066889883973, 'n': 984, 'trace_an': 0}
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id: 170558984
{'hecke_orbit_code': 22518066889883973, 'n': 985, 'trace_an': 0}
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id: 170558985
{'hecke_orbit_code': 22518066889883973, 'n': 986, 'trace_an': 0}
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id: 170558986
{'hecke_orbit_code': 22518066889883973, 'n': 987, 'trace_an': 0}
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id: 170558987
{'hecke_orbit_code': 22518066889883973, 'n': 988, 'trace_an': 0}
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id: 170558988
{'hecke_orbit_code': 22518066889883973, 'n': 989, 'trace_an': 40}
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id: 170558989
{'hecke_orbit_code': 22518066889883973, 'n': 990, 'trace_an': 0}
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id: 170558990
{'hecke_orbit_code': 22518066889883973, 'n': 991, 'trace_an': 128}
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id: 170558991
{'hecke_orbit_code': 22518066889883973, 'n': 992, 'trace_an': 0}
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id: 170558992
{'hecke_orbit_code': 22518066889883973, 'n': 993, 'trace_an': 0}
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id: 170558993
{'hecke_orbit_code': 22518066889883973, 'n': 994, 'trace_an': 272}
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id: 170558994
{'hecke_orbit_code': 22518066889883973, 'n': 995, 'trace_an': 0}
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id: 170558995
{'hecke_orbit_code': 22518066889883973, 'n': 996, 'trace_an': 80}
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id: 170558996
{'hecke_orbit_code': 22518066889883973, 'n': 997, 'trace_an': 0}
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id: 170558997
{'hecke_orbit_code': 22518066889883973, 'n': 998, 'trace_an': 0}
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id: 170558998
{'hecke_orbit_code': 22518066889883973, 'n': 999, 'trace_an': 192}
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id: 170558999
{'hecke_orbit_code': 22518066889883973, 'n': 1000, 'trace_an': 0}