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mf_newforms • Show schema
Hide schema
{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 315, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 6, 'char_parity': 1, 'char_values': [630, 6, [281, 127, 451], [1, 3, 3]], 'cm_discs': [], 'conrey_index': 209, 'dim': 8, 'field_disc': 856615824, 'field_disc_factorization': [[2, 4], [3, 6], [271, 2]], 'field_poly': [4, 0, 32, 0, 36, 0, 11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [4, -6, -7, 15, 18, -45, 32, -9, 1]], [13, [16, -104, 700, 124, 136, 28, 22, 4, 1]], [23, [2916, -2916, 2916, -972, 540, -108, 81, -9, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505729964704374, 'hecke_ring_generator_nbound': 5, '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, 315, 26, 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': True, 'label': '630.2.bf.b', 'level': 630, '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': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '630.2.bf.a', 'nf_label': '8.0.856615824.2', 'prim_orbit_index': 26, 'qexp_display': 'q-\\beta _{2}q^{2}+(1-\\beta _{2}+\\beta _{4})q^{3}+(-1+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '630.2.bf', 'trace_display': [-4, 0, 6, -2], 'trace_hash': 1180011860303065959, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [1, 0, -1, 0, 1, 0, 0, 0], [-1, 0, 1, 0, 0, 0, 0, 0], [2, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 1, 0], [0, -1, 0, 1, 0, -1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, -1, 0, 2, 0, 1], [-1, 0, -1, -1, 0, 0, 0, -1], [2, 1, -1, 1, 0, 0, 0, 0], [-1, 0, 1, 0, -1, 0, -1, 0], [0, 0, 0, 0, 1, 0, 1, -1], [0, 2, 1, 1, -1, 1, -1, 1], [2, 1, 0, -1, 1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [-1, 1, 2, 0, -1, 1, 0, 0], [-2, -2, 0, -1, 0, -1, 0, -2], [2, 0, -4, 0, 1, -1, -1, 1], [-1, -1, 1, 0, 0, -1, 0, 0], [-3, 1, 1, 2, -1, -1, 0, -2], [-1, 0, -1, -1, 0, 0, 0, 0], [4, 0, -3, 0, 1, 1, 2, -1], [1, 0, -1, 0, 1, 0, 0, 0], [1, 1, 0, -1, -1, 1, -3, 0], [0, 0, 0, 0, -1, -1, 0, 0], [2, -3, 1, -3, 2, 0, 1, 0], [0, -1, -1, -2, 1, 0, 0, -1], [3, 4, -1, 4, -3, -1, -1, 2], [1, -2, -2, -1, 0, 0, 1, 0], [4, 0, 3, -3, 1, 1, 0, 1], [-1, 0, 1, 0, 0, 0, 0, 0], [2, 1, -3, -1, 1, 0, 0, 0], [0, -1, -1, -1, 0, -1, -1, -1], [-1, 0, 2, 1, -3, 0, 1, -1], [1, 1, 0, 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[-14, 0, 9, -12, -8, 7, -15, -8], [11, 1, -22, 0, -5, 5, -1, 1], [16, -4, -18, -2, -4, -2, -6, 4], [-2, 0, -4, -14, 2, 2, 0, 2], [4, 20, -8, 0, -11, 11, -3, 3], [4, 12, -8, 0, 1, -1, -13, 13], [-8, 1, -4, 1, 0, -8, -8, -8], [-24, 0, 5, -12, -15, -1, -14, -15], [17, 4, 0, 8, -1, -1, -1, -1], [5, -18, -10, 0, 13, -13, 3, -3], [2, 0, -8, 0, 2, -15, 15, -13], [-15, 7, -7, -7, -15, 3, -3, -12], [33, -7, -11, -7, 7, 9, 9, 2], [5, 0, 8, -18, 2, 7, -5, 2], [5, 2, 0, 4, -1, -1, 11, 11], [-4, 0, 1, -3, -8, -11, 3, -8], [17, 8, 0, 16, 5, 5, 3, 3], [11, -6, -22, 0, 8, -8, 0, 0], [-8, 0, -9, -11, 9, 17, -8, 9], [12, -18, -5, -18, 2, 2, 2, 0], [-9, 1, 5, 1, 7, 4, 4, -3], [-2, 16, 0, 32, -13, -13, 4, 4], [-2, 6, 12, -6, -2, 4, -4, 2], [15, 7, 0, 14, 2, 2, -3, -3], [16, 22, -18, 11, 7, -2, 5, -7], [-1, -1, -6, 1, -1, -13, 13, -14], [22, -12, 0, -24, 16, 16, 9, 9], [-12, 0, -12, 3, -3, -6, 3, -3], [-20, 2, 0, 4, -2, -2, 8, 8], [7, -6, -23, -3, 10, -16, -6, -10], [-16, -19, 8, -19, -2, -1, -1, 1], [20, 4, 0, 8, -6, -6, 6, 6], [-1, 7, 23, -7, -1, 5, -5, 4]], 'char_orbit_index': 32, 'field_poly': [4, 0, 32, 0, 36, 0, 11, 0, 1], 'hecke_orbit_code': 4505729964704374, 'hecke_ring_character_values': [[281, [1, 0, -1, 0, 0, 0, 0, 0]], [127, [-1, 0, 0, 0, 0, 0, 0, 0]], [451, [-1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 4, 4, 4, 4, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 1, 1, 1], [0, -5, 0, 0, 1, -1, 0, 0], [2, -1, 0, -2, -5, -5, -6, -6], [-2, 25, 4, 0, -7, 7, 0, 0], [-4, 9, 0, 18, 25, 25, 32, 32], [20, -125, -40, 0, 41, -41, -2, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [2, 10, 0, 7, 0, 1, 0, 0], [0, -2, 10, 0, 7, 0, 1, 0], [8, 10, 22, 2, 9, 0, 1, 0], [8, -10, 22, -2, 9, 0, 1, 0], [-6, -20, -20, -29, -9, -10, -1, -1], [-6, 20, -20, 29, -9, 10, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '630.2.bf.b', 'level': 630, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'char_conductor': 315, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 6, 'char_parity': 1, 'char_values': [630, 6, [281, 127, 451], [1, 3, 3]], 'conrey_index': 209, 'cusp_dim': 272, 'dim': 96, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 23], 'hecke_orbit_code': 2130337333878, 'hecke_orbit_dims': [8, 8, 8, 8, 32, 32], 'label': '630.2.bf', 'level': 630, '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': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 304, 'mf_new_dim': 96, 'num_forms': 6, 'prim_orbit_index': 26, 'relative_dim': 48, 'sturm_bound': 288, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, -48, 0, 0, 0, 0, -12, 0, -12, 0, 0, 6, 20, -48, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 12, -28, 0, 0, 0, 0, 0, 12, 0, 0, -84, 0, 0, 0, 0, 0, 0, 24, 0, 0, 6, 36, 32, 0, 0, 0, 0, -6, 0, 0, 0, -28, 0, 0, 0, 96, -72, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -44, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 44, 0, 0, 0, 0, 0, -46, 0, 0, 0, 48, 0, 0, 0, 0, -56, 0, 0, 0, 0, -120, 8, 60, 0, 0, 0, 0, 64, 0, 0, 0, -12, 0, 0, 0, 0, 92, 0, 0, 0, 0, -48, 52, 0, 0, 0, 0, 0, 0, 0, 96, 0, -36, 0, 0, -24, -96, 60, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -12, 0, 0, 0, 0, 0, -24, 12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 32, 0, 0, -126, 0, 336, 0, 0, 0, 0, 6, 0, 0, 0, -36, 0, 0, 0, -52, -24, 0, 0, 0, 0, -48, 60, 0, 0, -36, 0, 0, 0, 0, 64, 0, 36, 0, 0, 0, -260, -48, 0, 0, 0, 0, -120, 0, 0, 0, -72, 0, 0, 0, -432, 8, 0, 0, 0, 0, 210, -164, 0, 0, 404, 0, 0, 0, 0, -12, 0, -48, 0, 0, 60, 0, -204, 0, 0, 0, 0, 108, 0, 0, 0, 4, 0, 0, 0, 0, 204, 0, 0, 0, 0, -12, -432, 0, 0, 84, 0, 0, 0, 0, -264, 0, 268, 0, 0, 130, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 168, -24, 0, 0, 0, 0, -4, -72, 0, 0, 0, 0, 0, 0, 0, 112, 0, 288, 0, 0, 222, 116, 12, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, -188, 0, 0, 0, 0, 0, 92, 0, 0, -104, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 48, 12, 0, 0, 0, 0, -48, 0, 0, 0, -124, 0, 0, 0, 72, 12, 0, 0, 0, 0, 60, 0, 0, 0, -192, 0, 0, 0, 0, -96, 0, 32, 0, 0, 40, 0, -384, 0, 0, 0, 0, 84, 0, 0, 0, 108, 0, 0, 0, 140, -240, 0, 0, 0, 0, 2, 60, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, -84, 16, -24, 0, 0, 0, 0, 344, 0, 0, 0, 12, 0, 0, 0, 0, 168, 0, 0, 0, 0, -264, 64, 0, 0, -288, 0, 0, 0, 0, -12, 0, 0, 0, 0, 132, -108, 84, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 468, 0, 0, 0, 0, 0, 0, 0, 12, 0, -272, 0, 0, 22, 120, 0, 0, 0, 0, 0, 132, 0, 0, 0, 432, 0, 0, 0, -592, -12, 0, 0, 0, 0, 306, -96, 0, 0, -60, 0, 0, 0, 0, -88, 0, -132, 0, 0, 0, -112, -384, 0, 0, 0, 0, -256, 0, 0, 0, 192, 0, 0, 0, -336, -128, 0, 0, 0, 0, 48, -204, 0, 0, 100, 0, 0, 0, 0, 204, 0, -108, 0, 0, -30, 0, -12, 0, 0, 0, 0, -18, 0, 0, 0, 472, 0, 0, 0, 24, 96, 0, 0, 0, 0, -72, -96, 0, 0, 468, 0, 0, 0, 0, 72, 0, -376, 0, 0, 314, -36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 24, 108, 0, 0, 0, 0, 74, 264, 0, 0, -72, 0, 0, 0, 0, 440, 0, -204, 0, 0, 18, 700, -96, 0, 0, 0, 0, -316, 0, 0, 0, -180, 0, 0, 0, 1068, -164, 0, 0, 0, 0, 0, 200, 0, 0, -220, 0, 0, 0, 0, 0, 0, 24, 0, 0, -108, -12, 340, 0, 0, 0, 0, -396, 0, 0, 0, -420, 0, 0, 0, 336, -312, 0, 0, 0, 0, -24, 0, 0, 0, -12, 0, 0, 0, 0, -84, 0, -164, 0, 0, -164, 204, 12, 0, 0, 0, 0, -144, 0, 0, 0, -564, 0, 0, 0, 432, 120, 0, 0, 0, 0, -352, -12, 0, 0, -240, 0, 0, 0, 0, 32, 0, 0, 0, 0, -510, 64, -96, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, -408, 20, 0, 0, -304, 0, 0, 0, 0, 288, 0, 60, 0, 0, -12, -348, 608, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 60, 0, 0, 0, 0, 0, 42, 144, 0, 0, 0, 0, 0, 0, 0, 72, 0, 20, 0, 0, -732, 48, 816, 0, 0, 0, 0, -120, 0, 0, 0, -72, 0, 0, 0, -560, 60, 0, 0, 0, 0, 36, 60, 0, 0, 60, 0, 0, 0, 0, 112, 0, -96, 0, 0, 0, -488, 72, 0, 0, 0, 0, -146, 0, 0, 0, -264, 0, 0, 0, -972, 184, 0, 0, 0, 0, 264, -236, 0, 0, 800, 0, 0, 0, 0, -36, 0, -156, 0, 0, 114, 0, -924, 0, 0, 0, 0, 6, 0, 0, 0, 52, 0, 0, 0, 24, 744, 0, 0, 0, 0, 168, -1188, 0, 0, 600, 0, 0, 0, 0, -48, 0, 580, 0, 0, 276, 72, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 664, 36, 0, 0, 0, 0, -80, 48, 0, 0, 276, 0, 0, 0, 0, 272, 0, 432, 0, 0, 360, 20, 192, 0, 0, 0, 0, 376, 0, 0, 0, 156, 0, 0, 0, 456, 128, 0, 0, 0, 0, 0, -12, 0, 0, 76, 0, 0, 0, 0, 0, 0, 24, 0, 0, 36, 576, -52, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 423066
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '630.2.bf.a', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 423067
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '630.2.bf.a', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 423068
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '630.2.bf.b', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 423069
{'conductor': 315, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '630.2.bf.b', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '315.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 423070
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '630.2.bf.c', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 423071
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '630.2.bf.c', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 423072
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '630.2.bf.d', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 423073
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '630.2.bf.d', 'target_level': 630, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 423074
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1890.2.bf.a', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 423075
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1890.2.bf.a', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 423076
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1890.2.bf.b', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 423077
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1890.2.bf.b', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 423078
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1890.2.bf.c', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 423079
{'conductor': 315, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1890.2.bf.c', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '315.bg', 'twisting_char_orbit': 33, 'weight': 2}
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id: 423080
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1890.2.bf.d', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 423081
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 32, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '630.2.bf.b', 'source_level': 630, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1890.2.bf.d', 'target_level': 1890, 'twist_class_label': '630.2.bf.a', 'twist_class_level': 630, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1141375
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 4505729964704374, 'p': 2}
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id: 1141376
{'charpoly_factorization': [[[81, 0, 0, -18, 3, -6, 0, 0, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 3}
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id: 1141377
{'charpoly_factorization': [[[625, -750, 200, 150, -129, 30, 8, -6, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 5}
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id: 1141378
{'charpoly_factorization': [[[2401, 686, 196, -70, -41, -10, 4, 2, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 7}
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id: 1141379
{'charpoly_factorization': [[[4, -6, -7, 15, 18, -45, 32, -9, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 11}
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id: 1141380
{'charpoly_factorization': [[[16, -104, 700, 124, 136, 28, 22, 4, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 13}
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id: 1141381
{'charpoly_factorization': [[[4, 0, 71, 0, 87, 0, 29, 0, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 17}
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id: 1141382
{'charpoly_factorization': [[[324, 0, 4239, 0, 2079, 0, 93, 0, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 19}
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id: 1141383
{'charpoly_factorization': [[[2916, -2916, 2916, -972, 540, -108, 81, -9, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 23}
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id: 1141384
{'charpoly_factorization': [[[4, -1380, 158732, -11040, -4572, 336, 131, -21, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 29}
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id: 1141385
{'charpoly_factorization': [[[1065024, 482976, -112752, -84240, 39984, -7560, 768, -42, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 31}
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id: 1141386
{'charpoly_factorization': [[[144, 0, 252, 0, 132, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 37}
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id: 1141387
{'charpoly_factorization': [[[848241, 668646, 339192, 103896, 23271, 3444, 372, 24, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 41}
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id: 1141388
{'charpoly_factorization': [[[2916, 1458, -3159, -1701, 4266, -1701, 306, -27, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 43}
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id: 1141389
{'charpoly_factorization': [[[868624, 827616, 311312, 46176, -804, -780, 23, 15, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 47}
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id: 1141390
{'charpoly_factorization': [[[2064, 306, -108, -6, 1], 2]], 'hecke_orbit_code': 4505729964704374, 'p': 53}
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id: 1141391
{'charpoly_factorization': [[[46457856, -3455712, 1545273, 54927, 30426, 447, 198, 3, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 59}
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id: 1141392
{'charpoly_factorization': [[[2022084, -1561356, 453060, -39528, -4968, 756, 111, -21, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 61}
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id: 1141393
{'charpoly_factorization': [[[56169, 17064, -8226, -3024, 1527, 0, -42, 0, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 67}
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id: 1141394
{'charpoly_factorization': [[[17272336, 0, 1631180, 0, 46416, 0, 404, 0, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 71}
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id: 1141395
{'charpoly_factorization': [[[7588, 3551, 591, 41, 1], 2]], 'hecke_orbit_code': 4505729964704374, 'p': 73}
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id: 1141396
{'charpoly_factorization': [[[614656, -1038016, 1941136, 305216, 67408, 728, 304, 8, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 79}
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id: 1141397
{'charpoly_factorization': [[[1024, 1536, 512, -384, -144, 120, 83, 15, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 83}
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id: 1141398
{'charpoly_factorization': [[[-40272, -7104, -204, 21, 1], 2]], 'hecke_orbit_code': 4505729964704374, 'p': 89}
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id: 1141399
{'charpoly_factorization': [[[78074896, 10240924, 3013285, -24659, 39634, -239, 310, -11, 1], 1]], 'hecke_orbit_code': 4505729964704374, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 32, 'hecke_orbit': 2, 'label': '630.2.bf.b', 'level': 630, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 25243729
{'hecke_orbit_code': 4505729964704374, 'n': 1, 'trace_an': 8}
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id: 25243730
{'hecke_orbit_code': 4505729964704374, 'n': 2, 'trace_an': -4}
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id: 25243731
{'hecke_orbit_code': 4505729964704374, 'n': 3, 'trace_an': 0}
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id: 25243732
{'hecke_orbit_code': 4505729964704374, 'n': 4, 'trace_an': -4}
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id: 25243733
{'hecke_orbit_code': 4505729964704374, 'n': 5, 'trace_an': 6}
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id: 25243734
{'hecke_orbit_code': 4505729964704374, 'n': 6, 'trace_an': -3}
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id: 25243735
{'hecke_orbit_code': 4505729964704374, 'n': 7, 'trace_an': -2}
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id: 25243736
{'hecke_orbit_code': 4505729964704374, 'n': 8, 'trace_an': 8}
-
id: 25243737
{'hecke_orbit_code': 4505729964704374, 'n': 9, 'trace_an': 0}
-
id: 25243738
{'hecke_orbit_code': 4505729964704374, 'n': 10, 'trace_an': -6}
-
id: 25243739
{'hecke_orbit_code': 4505729964704374, 'n': 11, 'trace_an': 9}
-
id: 25243740
{'hecke_orbit_code': 4505729964704374, 'n': 12, 'trace_an': 3}
-
id: 25243741
{'hecke_orbit_code': 4505729964704374, 'n': 13, 'trace_an': -4}
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id: 25243742
{'hecke_orbit_code': 4505729964704374, 'n': 14, 'trace_an': 1}
-
id: 25243743
{'hecke_orbit_code': 4505729964704374, 'n': 15, 'trace_an': 15}
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id: 25243744
{'hecke_orbit_code': 4505729964704374, 'n': 16, 'trace_an': -4}
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id: 25243745
{'hecke_orbit_code': 4505729964704374, 'n': 17, 'trace_an': 0}
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id: 25243746
{'hecke_orbit_code': 4505729964704374, 'n': 18, 'trace_an': -3}
-
id: 25243747
{'hecke_orbit_code': 4505729964704374, 'n': 19, 'trace_an': 0}
-
id: 25243748
{'hecke_orbit_code': 4505729964704374, 'n': 20, 'trace_an': 0}
-
id: 25243749
{'hecke_orbit_code': 4505729964704374, 'n': 21, 'trace_an': -12}
-
id: 25243750
{'hecke_orbit_code': 4505729964704374, 'n': 22, 'trace_an': -9}
-
id: 25243751
{'hecke_orbit_code': 4505729964704374, 'n': 23, 'trace_an': 9}
-
id: 25243752
{'hecke_orbit_code': 4505729964704374, 'n': 24, 'trace_an': 0}
-
id: 25243753
{'hecke_orbit_code': 4505729964704374, 'n': 25, 'trace_an': 20}
-
id: 25243754
{'hecke_orbit_code': 4505729964704374, 'n': 26, 'trace_an': 8}
-
id: 25243755
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id: 25243964
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id: 25243985
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id: 25243986
{'hecke_orbit_code': 4505729964704374, 'n': 997, 'trace_an': 92}