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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [675, 1, [326, 352], [1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]], [7, [-1, 1]], [11, [0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037091, 'hecke_ring_generator_nbound': 1, '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, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '675.2.a.e', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '27.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}+q^{7}-5q^{13}+4q^{16}-7q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/675/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '675.2.a', 'trace_display': [0, 0, 0, 1], 'trace_hash': 1896385657987878097, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.967', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.870', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.481', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [1, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, -5, 0, 0, 4, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -6, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -8, 0, 0, -5, 0, 0, 0, 0, 0, 7, 0, 0, 14, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 8, 0, 0, -20, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, -19, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 25, 0, 0, 0, 0, 0, 12, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23, 0, 0, 12, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -13, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 2, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -11, 0, 0, 0, 0, 0, 0, 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0, -20, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, -34, 0, 0, -41, 0, 0, 0, 0, 0, 23, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, -61, 0, 0, 0, 0, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [-2], [0], [0], [1], [0], [0], [0], [0], [0], [-5], [0], [0], [4], [0], [0], [-7], [0], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [-4], [0], [0], [0], [0], [0], [-11], [0], [0], [0], [0], [0], [-8], [0], [0], [0], [0], [0], [-6], [0], [0], [10], [0], [0], [0], [0], [0], [0], [0], [0], [-1], [0], [0], [-8], [0], [0], [-5], [0], [0], [0], [0], [0], [7], [0], [0], [14], [0], [0], [17], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-5], [0], [0], [0], [0], [0], [19], [0], [0], [0]], 'ap': [[0], [0], [0], [1], [0], [-5], [0], [-7], [0], [0], [-4], [-11], [0], [-8], [0], [0], [0], [-1], [-5], [0], [7], [17], [0], [0], [19], [0], [13], [0], [2], [0], [-20], [0], [0], [23], [0], [-19], [-14], [25], [0], [0], [0], [-7], [0], [-23], [0], [11], [-13], [28], [0], [-22], [0], [0], [17], [0], [0], [0], [0], [29], [-26], [0], [-32], [0], [16], [0], [-35], [0], [-1], [-5], [0], [-37], [0], [0], [-35], [13], [29], [0], [0], [34], [0], [-31], [0], [-19], [0], [-2], [-28], [0], [0], [10], [0], [-23], [0], [0], [25], [0], [32], [0], [0], [0], [43], [29], [1], [0], [0], [0], [-31], [-11], [0], [0], [0], [26], [49], [-47], [0], [17], [-43], [0], [40], [0], [0], [0], [-49], [37], [0], [0], [8], [0], [53], [0], [-44], [-50], [-16], [0], [41], [-29], [0], [-49], [0], [31], [0], [0], [56], [0], [-5], [0], [-7], [0], [-35], [0], [-13], [0], [-59], [0], [-47], [0], [19], [0], [-52], [0], [61], [0], [0], [0], [-41], [0], [0], [0], [-61], [10]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 18014398543037091, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '675.2.a.e', 'level': 675, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 5, 3], [[[3, 1], [5, 1]], 4, 3], [[[3, 1], [5, -1]], 8, 5], [[[3, -1], [5, 1]], 8, 6]], 'ALdims': [4, 8, 8, 5], 'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [675, 1, [326, 352], [1, 1]], 'conrey_index': 1, 'cusp_dim': 73, 'dim': 25, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33555107, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '675.2.a', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 108, 'mf_new_dim': 25, 'num_forms': 17, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 25, 'sturm_bound': 180, 'trace_bound': 11, 'trace_display': [0, 0, 0, 3], 'traces': [25, 0, 0, 26, 0, 0, 3, 0, 0, 0, 0, 0, -7, 0, 0, 48, 0, 0, 3, 0, 0, 20, 0, 0, 0, 0, 0, 30, 0, 0, 14, 0, 0, -20, 0, 0, -29, 0, 0, 0, 0, 0, -4, 0, 0, 8, 0, 0, 4, 0, 0, -14, 0, 0, 0, 0, 0, -8, 0, 0, -19, 0, 0, 72, 0, 0, 45, 0, 0, 0, 0, 0, -19, 0, 0, -62, 0, 0, 9, 0, 0, -68, 0, 0, 0, 0, 0, 12, 0, 0, -43, 0, 0, -92, 0, 0, 13, 0, 0, 0, 0, 0, -5, 0, 0, -52, 0, 0, 60, 0, 0, 12, 0, 0, 0, 0, 0, -16, 0, 0, 73, 0, 0, -92, 0, 0, 44, 0, 0, 0, 0, 0, 51, 0, 0, -128, 0, 0, -57, 0, 0, 4, 0, 0, 0, 0, 0, -10, 0, 0, -49, 0, 0, -96, 0, 0, 10, 0, 0, 0, 0, 0, 55, 0, 0, -100, 0, 0, 40, 0, 0, -8, 0, 0, 0, 0, 0, -132, 0, 0, 101, 0, 0, -52, 0, 0, -76, 0, 0, 0, 0, 0, -77, 0, 0, 0, 0, 0, 3, 0, 0, 24, 0, 0, 0, 0, 0, -68, 0, 0, 11, 0, 0, -44, 0, 0, -48, 0, 0, 0, 0, 0, 52, 0, 0, 152, 0, 0, 192, 0, 0, 60, 0, 0, 0, 0, 0, 144, 0, 0, 149, 0, 0, -62, 0, 0, -7, 0, 0, 0, 0, 0, 36, 0, 0, -76, 0, 0, 71, 0, 0, 60, 0, 0, 0, 0, 0, 42, 0, 0, -163, 0, 0, 172, 0, 0, 78, 0, 0, 0, 0, 0, -84, 0, 0, 108, 0, 0, 143, 0, 0, -74, 0, 0, 0, 0, 0, 124, 0, 0, 92, 0, 0, -52, 0, 0, 8, 0, 0, 0, 0, 0, -29, 0, 0, 46, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, -145, 0, 0, -224, 0, 0, -31, 0, 0, 0, 0, 0, -147, 0, 0, 20, 0, 0, -81, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, -24, 0, 0, -82, 0, 0, -81, 0, 0, 0, 0, 0, 107, 0, 0, -212, 0, 0, -99, 0, 0, -116, 0, 0, 0, 0, 0, -34, 0, 0, -88, 0, 0, 436, 0, 0, 74, 0, 0, 0, 0, 0, 96, 0, 0, 240, 0, 0, -3, 0, 0, -70, 0, 0, 0, 0, 0, 44, 0, 0, 221, 0, 0, 176, 0, 0, -75, 0, 0, 0, 0, 0, 86, 0, 0, 400, 0, 0, -138, 0, 0, 200, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -8, 0, 0, -10, 0, 0, 0, 0, 0, -57, 0, 0, 176, 0, 0, -19, 0, 0, -60, 0, 0, 0, 0, 0, -172, 0, 0, 35, 0, 0, 326, 0, 0, 91, 0, 0, 0, 0, 0, 124, 0, 0, -144, 0, 0, -114, 0, 0, 192, 0, 0, 0, 0, 0, 196, 0, 0, -139, 0, 0, 172, 0, 0, 128, 0, 0, 0, 0, 0, -103, 0, 0, 212, 0, 0, -115, 0, 0, 78, 0, 0, 0, 0, 0, 20, 0, 0, -145, 0, 0, -180, 0, 0, -61, 0, 0, 0, 0, 0, -21, 0, 0, -146, 0, 0, -250, 0, 0, -96, 0, 0, 0, 0, 0, 132, 0, 0, -37, 0, 0, -48, 0, 0, -113, 0, 0, 0, 0, 0, -52, 0, 0, 20, 0, 0, -48, 0, 0, 8, 0, 0, 0, 0, 0, -216, 0, 0, -148, 0, 0, -2, 0, 0, -37, 0, 0, 0, 0, 0, -49, 0, 0, -504, 0, 0, -21, 0, 0, -168, 0, 0, 0, 0, 0, 140, 0, 0, 5, 0, 0, 244, 0, 0, 70, 0, 0, 0, 0, 0, 84, 0, 0, -188, 0, 0, -204, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, -49, 0, 0, -472, 0, 0, 36, 0, 0, 0, 0, 0, -57, 0, 0, -120, 0, 0, -31, 0, 0, -108, 0, 0, 0, 0, 0, -44, 0, 0, 176, 0, 0, -152, 0, 0, -116, 0, 0, 0, 0, 0, 67, 0, 0, -208, 0, 0, 39, 0, 0, -36, 0, 0, 0, 0, 0, -204, 0, 0, -97, 0, 0, 142, 0, 0, -68, 0, 0, 0, 0, 0, -134, 0, 0, 24, 0, 0, 264, 0, 0, 72, 0, 0, 0, 0, 0, -104, 0, 0, -223, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, 0, -30, 0, 0, -136, 0, 0, -129, 0, 0, 38, 0, 0, 0, 0, 0, 204, 0, 0, -108, 0, 0, -160, 0, 0, 197, 0, 0, 0, 0, 0, 143, 0, 0, 82, 0, 0, -8, 0, 0, -36, 0, 0, 0, 0, 0, 144, 0, 0, -274, 0, 0, 156, 0, 0, -4, 0, 0, 0, 0, 0, 1, 0, 0, -24, 0, 0, -15, 0, 0, 140, 0, 0, 0, 0, 0, 268, 0, 0, 19, 0, 0, 502, 0, 0, 39, 0, 0, 0, 0, 0, -165, 0, 0, 580, 0, 0, -93, 0, 0, 72, 0, 0, 0, 0, 0, -84, 0, 0, 41, 0, 0, 212, 0, 0, -9, 0, 0, 0, 0, 0, -29, 0, 0, -16, 0, 0, -388, 0, 0, -28, 0, 0, 0, 0, 0, 224, 0, 0, 560, 0, 0, 248, 0, 0, -3, 0, 0, 0, 0, 0, 12, 0, 0, 820, 0, 0, -222, 0, 0, 108, 0, 0, 0, 0, 0, -76, 0, 0, 214, 0, 0, 64, 0, 0, -141, 0, 0, 0, 0, 0, 108, 0, 0, -48, 0, 0, 341, 0, 0, -180, 0, 0, 0, 0, 0, -108, 0, 0, -9, 0, 0, 574, 0, 0, -215, 0, 0, 0, 0, 0, -39, 0, 0, 336, 0, 0, -120, 0, 0, 4, 0, 0, 0, 0, 0, -206, 0, 0, -7, 0, 0, -264, 0, 0, 66, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 444222
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '27.2.a.a', 'target_level': 27, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444223
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '27.2.a.a', 'target_level': 27, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444224
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.2.c.a', 'target_level': 81, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444225
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.2.c.a', 'target_level': 81, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 444226
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '432.2.a.e', 'target_level': 432, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444227
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '432.2.a.e', 'target_level': 432, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444228
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.2.a.e', 'target_level': 675, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 444229
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.2.a.e', 'target_level': 675, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444230
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '675.2.b.f', 'target_level': 675, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444231
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '675.2.b.f', 'target_level': 675, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444232
{'conductor': 135, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '729.2.e.f', 'target_level': 729, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '135.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 444233
{'conductor': 135, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '729.2.e.f', 'target_level': 729, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '135.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 444234
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1296.2.i.i', 'target_level': 1296, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 444235
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1296.2.i.i', 'target_level': 1296, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 444236
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1323.2.a.i', 'target_level': 1323, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444237
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1323.2.a.i', 'target_level': 1323, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 444238
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1728.2.a.n', 'target_level': 1728, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 444239
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1728.2.a.n', 'target_level': 1728, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 444240
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1728.2.a.o', 'target_level': 1728, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444241
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1728.2.a.o', 'target_level': 1728, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 444242
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3267.2.a.f', 'target_level': 3267, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444243
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3267.2.a.f', 'target_level': 3267, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444244
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4563.2.a.e', 'target_level': 4563, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444245
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4563.2.a.e', 'target_level': 4563, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444246
{'conductor': 85, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '7803.2.a.k', 'target_level': 7803, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444247
{'conductor': 255, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '7803.2.a.k', 'target_level': 7803, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '255.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444248
{'conductor': 95, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '9747.2.a.f', 'target_level': 9747, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '95.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444249
{'conductor': 285, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '675.2.a.e', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '9747.2.a.f', 'target_level': 9747, 'twist_class_label': '27.2.a.a', 'twist_class_level': 27, 'twisting_char_label': '285.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1193350
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 2}
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id: 1193351
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 3}
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id: 1193352
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 5}
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id: 1193353
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 7}
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id: 1193354
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 11}
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id: 1193355
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 13}
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id: 1193356
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 17}
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id: 1193357
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 19}
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id: 1193358
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 23}
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id: 1193359
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 29}
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id: 1193360
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 31}
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id: 1193361
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 37}
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id: 1193362
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 41}
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id: 1193363
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 43}
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id: 1193364
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 47}
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id: 1193365
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 53}
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id: 1193366
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 59}
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id: 1193367
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 61}
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id: 1193368
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 67}
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id: 1193369
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 71}
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id: 1193370
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 73}
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id: 1193371
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 79}
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id: 1193372
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 83}
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id: 1193373
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 89}
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id: 1193374
{'charpoly_factorization': [[[-19, 1], 1]], 'hecke_orbit_code': 18014398543037091, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '675.2.a.e', 'level': 675, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 147063000
{'hecke_orbit_code': 18014398543037091, 'n': 1, 'trace_an': 1}
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id: 147063001
{'hecke_orbit_code': 18014398543037091, 'n': 2, 'trace_an': 0}
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id: 147063002
{'hecke_orbit_code': 18014398543037091, 'n': 3, 'trace_an': 0}
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id: 147063003
{'hecke_orbit_code': 18014398543037091, 'n': 4, 'trace_an': -2}
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id: 147063004
{'hecke_orbit_code': 18014398543037091, 'n': 5, 'trace_an': 0}
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id: 147063005
{'hecke_orbit_code': 18014398543037091, 'n': 6, 'trace_an': 0}
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id: 147063006
{'hecke_orbit_code': 18014398543037091, 'n': 7, 'trace_an': 1}
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{'hecke_orbit_code': 18014398543037091, 'n': 993, 'trace_an': 0}
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id: 147063993
{'hecke_orbit_code': 18014398543037091, 'n': 994, 'trace_an': 0}
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id: 147063994
{'hecke_orbit_code': 18014398543037091, 'n': 995, 'trace_an': 0}
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id: 147063995
{'hecke_orbit_code': 18014398543037091, 'n': 996, 'trace_an': 0}
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id: 147063996
{'hecke_orbit_code': 18014398543037091, 'n': 997, 'trace_an': 10}
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id: 147063997
{'hecke_orbit_code': 18014398543037091, 'n': 998, 'trace_an': 0}
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id: 147063998
{'hecke_orbit_code': 18014398543037091, 'n': 999, 'trace_an': 0}
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id: 147063999
{'hecke_orbit_code': 18014398543037091, 'n': 1000, 'trace_an': 0}