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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': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -1, 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, [-3, 1, 1]], [7, [-12, 2, 1]], [11, [-12, 2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307260067, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '675.2.a.k', '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': '135.2.a.c', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(1+\\beta )q^{4}+(-2+2\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '675.2.a', 'trace_display': [-1, 0, 0, -2], 'trace_hash': 205020044034591992, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.374', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.756', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, 'traces': [2, -1, 0, 3, 0, 0, -2, -6, 0, 0, -2, 0, -6, -12, 0, -3, -4, 0, 0, 0, 0, 14, -6, 0, 0, 16, 0, 10, -10, 0, -4, 7, 0, -11, 0, 0, -4, -13, 0, 0, 2, 0, 6, -16, 0, 3, -4, 0, 14, 0, 0, -22, -4, 0, 0, 6, 0, -8, 10, 0, 6, 15, 0, -4, 0, 0, 16, 7, 0, 0, -22, 0, -18, 2, 0, 13, -24, 0, -16, 0, 0, -14, 6, 0, 0, 10, 0, 6, 6, 0, -20, -9, 0, 28, 0, 0, -16, 19, 0, 0, -24, 0, 8, 18, 0, -11, 0, 0, -14, 0, 0, 16, -16, 0, 0, -2, 0, 8, 30, 0, 6, 23, 0, -19, 0, 0, 24, 27, 0, 0, -12, 0, 26, 18, 0, 12, 12, 0, -8, 0, 0, -2, 32, 0, 0, 22, 0, -6, -10, 0, 0, 0, 0, 12, 0, 0, 14, 21, 0, 0, 6, 0, -4, 16, 0, -3, -6, 0, 18, 0, 0, -4, 0, 0, 0, -10, 0, -42, 28, 0, -14, 36, 0, 18, 0, 0, -22, -32, 0, 0, -4, 0, -22, 8, 0, -5, -24, 0, 12, 0, 0, 12, 36, 0, 0, -4, 0, -4, -26, 0, 4, 7, 0, 0, 0, 0, -22, 7, 0, 0, -14, 0, 20, 6, 0, 34, -38, 0, 2, 0, 0, 30, -36, 0, 0, 2, 0, 24, 16, 0, 42, -29, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [1, 1], [0, 0], [0, 0], [-2, 2], [-3, 0], [0, 0], [0, 0], [0, -2], [0, 0], [-2, -2], [-6, 0], [0, 0], [-2, 1], [-3, 2], [0, 0], [-1, 2], [0, 0], [0, 0], [6, 2], [-3, 0], [0, 0], [0, 0], [6, 4], [0, 0], [4, 2], [-6, 2], [0, 0], [-1, -2], [3, 1], [0, 0], [-6, 1], [0, 0], [0, 0], [-2, 0], [-6, -1], [0, 0], [0, 0], [0, 2], [0, 0], [4, -2], [-6, -4], [0, 0], [0, 3], [0, -4], [0, 0], [9, -4], [0, 0], [0, 0], [-8, -6], [-3, 2], [0, 0], [0, 0], [6, -6], [0, 0], [-6, 4], [6, -2], [0, 0], [5, -4], [6, 3], [0, 0], [1, -6], [0, 0], [0, 0], [10, -4], [3, 1], [0, 0], [0, 0], [-12, 2], [0, 0], [-8, -2], [0, 2], [0, 0], [5, 3], [-12, 0], [0, 0], [-7, -2], [0, 0], [0, 0], [-6, -2], [3, 0], [0, 0], [0, 0], [6, -2], [0, 0], [0, 6], [0, 6], [0, 0], [-8, -4], [-3, -3], [0, 0], [12, 4], [0, 0], [0, 0], [-8, 0], [12, -5], [0, 0], [0, 0]], 'ap': [[0, -1], [0, 0], [0, 0], [-2, 2], [0, -2], [-2, -2], [-3, 2], [-1, 2], [-3, 0], [-6, 2], [-1, -2], [-2, 0], [0, 2], [4, -2], [0, -4], [-3, 2], [6, -2], [5, -4], [10, -4], [-12, 2], [-8, -2], [-7, -2], [3, 0], [0, 6], [-8, 0], [-12, 0], [4, 0], [0, 0], [-7, 0], [-6, -4], [10, 4], [-6, 0], [3, 6], [-4, 0], [0, -10], [-4, 8], [4, 6], [-2, 0], [-3, 0], [3, -6], [12, 4], [-7, 0], [-6, 8], [-14, 6], [-9, -6], [8, -4], [5, -6], [10, 0], [-21, 4], [-1, 4], [-18, 0], [6, 4], [23, -4], [0, -12], [15, -6], [-12, 4], [-6, 4], [-1, 14], [16, -10], [6, 6], [-8, 2], [-21, 6], [10, -8], [-6, 6], [-8, 12], [-3, -2], [20, 4], [-2, -2], [12, 8], [5, -16], [-6, 12], [-18, 12], [-2, 2], [16, 4], [17, 2], [-3, 12], [-12, -6], [10, -2], [30, 0], [5, 0], [0, -10], [-13, 8], [-18, 6], [10, -14], [23, 2], [3, -12], [-6, -14], [4, 4], [6, -12], [10, -4], [3, 4], [24, 6], [16, 6], [-18, -4], [-25, 2], [21, -8], [-12, 16], [24, 2], [-26, -2], [-22, -8], [4, -2], [-18, 12], [24, 0], [-30, 6], [-13, 18], [-20, 6], [21, 0], [3, -14], [18, 2], [17, -12], [-20, -2], [-8, 16], [-3, 18], [8, 12], [17, -10], [24, 0], [10, -10], [33, -4], [9, -14], [18, -2], [2, -16], [-2, -10], [-6, 12], [-9, 0], [5, 2], [-30, 8], [14, -16], [18, -24], [-8, -12], [-32, 0], [17, -10], [-24, 8], [-7, -10], [-26, 4], [30, -18], [41, 0], [9, -6], [16, 10], [-9, 22], [-48, 2], [32, -8], [-30, 0], [4, 6], [-39, -4], [-22, 4], [-24, -4], [-20, -4], [-27, 14], [-7, -10], [21, 4], [28, -22], [30, -2], [-2, -6], [-3, -12], [-20, 8], [-18, 10], [8, 8], [-24, 2], [-32, -4], [-18, 8], [39, 0], [6, -16], [-50, 0], [18, 0], [-6, -4], [-15, -12], [-43, 6], [-20, 26]], 'char_orbit_index': 1, 'field_poly': [-3, -1, 1], 'hecke_orbit_code': 45035996307260067, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '675.2.a.k', '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: 444294
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '135.2.a.c', 'target_level': 135, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444295
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '135.2.a.d', 'target_level': 135, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444296
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '405.2.e.j', 'target_level': 405, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 444297
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '405.2.e.k', 'target_level': 405, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444298
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '675.2.a.k', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 444299
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '675.2.a.p', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444300
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '675.2.b.h', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444301
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '675.2.b.i', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444302
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2160.2.a.y', 'target_level': 2160, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444303
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2160.2.a.ba', 'target_level': 2160, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444304
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '6615.2.a.p', 'target_level': 6615, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 444305
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6615.2.a.v', 'target_level': 6615, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444306
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 63, 'target_is_minimal': False, 'target_label': '8640.2.a.ck', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 444307
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '8640.2.a.cr', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 444308
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 77, 'target_is_minimal': False, 'target_label': '8640.2.a.cy', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444309
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '675.2.a.k', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 84, 'target_is_minimal': False, 'target_label': '8640.2.a.df', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1193500
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 2}
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id: 1193501
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307260067, 'p': 3}
-
id: 1193502
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307260067, 'p': 5}
-
id: 1193503
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 7}
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id: 1193504
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 11}
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id: 1193505
{'charpoly_factorization': [[[-4, 6, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 13}
-
id: 1193506
{'charpoly_factorization': [[[-9, 4, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 17}
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id: 1193507
{'charpoly_factorization': [[[-13, 0, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 19}
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id: 1193508
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 45035996307260067, 'p': 23}
-
id: 1193509
{'charpoly_factorization': [[[12, 10, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 29}
-
id: 1193510
{'charpoly_factorization': [[[-9, 4, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 31}
-
id: 1193511
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 45035996307260067, 'p': 37}
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id: 1193512
{'charpoly_factorization': [[[-12, -2, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 41}
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id: 1193513
{'charpoly_factorization': [[[-4, -6, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 43}
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id: 1193514
{'charpoly_factorization': [[[-48, 4, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 47}
-
id: 1193515
{'charpoly_factorization': [[[-9, 4, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 53}
-
id: 1193516
{'charpoly_factorization': [[[12, -10, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 59}
-
id: 1193517
{'charpoly_factorization': [[[-43, -6, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 61}
-
id: 1193518
{'charpoly_factorization': [[[12, -16, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 67}
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id: 1193519
{'charpoly_factorization': [[[108, 22, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 71}
-
id: 1193520
{'charpoly_factorization': [[[68, 18, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 73}
-
id: 1193521
{'charpoly_factorization': [[[51, 16, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 79}
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id: 1193522
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 45035996307260067, 'p': 83}
-
id: 1193523
{'charpoly_factorization': [[[-108, -6, 1], 1]], 'hecke_orbit_code': 45035996307260067, 'p': 89}
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id: 1193524
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 45035996307260067, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '675.2.a.k', 'level': 675, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 209667000
{'hecke_orbit_code': 45035996307260067, 'n': 1, 'trace_an': 2}
-
id: 209667001
{'hecke_orbit_code': 45035996307260067, 'n': 2, 'trace_an': -1}
-
id: 209667002
{'hecke_orbit_code': 45035996307260067, 'n': 3, 'trace_an': 0}
-
id: 209667003
{'hecke_orbit_code': 45035996307260067, 'n': 4, 'trace_an': 3}
-
id: 209667004
{'hecke_orbit_code': 45035996307260067, 'n': 5, 'trace_an': 0}
-
id: 209667005
{'hecke_orbit_code': 45035996307260067, 'n': 6, 'trace_an': 0}
-
id: 209667006
{'hecke_orbit_code': 45035996307260067, 'n': 7, 'trace_an': -2}
-
id: 209667007
{'hecke_orbit_code': 45035996307260067, 'n': 8, 'trace_an': -6}
-
id: 209667008
{'hecke_orbit_code': 45035996307260067, 'n': 9, 'trace_an': 0}
-
id: 209667009
{'hecke_orbit_code': 45035996307260067, 'n': 10, 'trace_an': 0}
-
id: 209667010
{'hecke_orbit_code': 45035996307260067, 'n': 11, 'trace_an': -2}
-
id: 209667011
{'hecke_orbit_code': 45035996307260067, 'n': 12, 'trace_an': 0}
-
id: 209667012
{'hecke_orbit_code': 45035996307260067, 'n': 13, 'trace_an': -6}
-
id: 209667013
{'hecke_orbit_code': 45035996307260067, 'n': 14, 'trace_an': -12}
-
id: 209667014
{'hecke_orbit_code': 45035996307260067, 'n': 15, 'trace_an': 0}
-
id: 209667015
{'hecke_orbit_code': 45035996307260067, 'n': 16, 'trace_an': -3}
-
id: 209667016
{'hecke_orbit_code': 45035996307260067, 'n': 17, 'trace_an': -4}
-
id: 209667017
{'hecke_orbit_code': 45035996307260067, 'n': 18, 'trace_an': 0}
-
id: 209667018
{'hecke_orbit_code': 45035996307260067, 'n': 19, 'trace_an': 0}
-
id: 209667019
{'hecke_orbit_code': 45035996307260067, 'n': 20, 'trace_an': 0}
-
id: 209667020
{'hecke_orbit_code': 45035996307260067, 'n': 21, 'trace_an': 0}
-
id: 209667021
{'hecke_orbit_code': 45035996307260067, 'n': 22, 'trace_an': 14}
-
id: 209667022
{'hecke_orbit_code': 45035996307260067, 'n': 23, 'trace_an': -6}
-
id: 209667023
{'hecke_orbit_code': 45035996307260067, 'n': 24, 'trace_an': 0}
-
id: 209667024
{'hecke_orbit_code': 45035996307260067, 'n': 25, 'trace_an': 0}
-
id: 209667025
{'hecke_orbit_code': 45035996307260067, 'n': 26, 'trace_an': 16}
-
id: 209667026
{'hecke_orbit_code': 45035996307260067, 'n': 27, 'trace_an': 0}
-
id: 209667027
{'hecke_orbit_code': 45035996307260067, 'n': 28, 'trace_an': 10}
-
id: 209667028
{'hecke_orbit_code': 45035996307260067, 'n': 29, 'trace_an': -10}
-
id: 209667029
{'hecke_orbit_code': 45035996307260067, 'n': 30, 'trace_an': 0}
-
id: 209667030
{'hecke_orbit_code': 45035996307260067, 'n': 31, 'trace_an': -4}
-
id: 209667031
{'hecke_orbit_code': 45035996307260067, 'n': 32, 'trace_an': 7}
-
id: 209667032
{'hecke_orbit_code': 45035996307260067, 'n': 33, 'trace_an': 0}
-
id: 209667033
{'hecke_orbit_code': 45035996307260067, 'n': 34, 'trace_an': -11}
-
id: 209667034
{'hecke_orbit_code': 45035996307260067, 'n': 35, 'trace_an': 0}
-
id: 209667035
{'hecke_orbit_code': 45035996307260067, 'n': 36, 'trace_an': 0}
-
id: 209667036
{'hecke_orbit_code': 45035996307260067, 'n': 37, 'trace_an': -4}
-
id: 209667037
{'hecke_orbit_code': 45035996307260067, 'n': 38, 'trace_an': -13}
-
id: 209667038
{'hecke_orbit_code': 45035996307260067, 'n': 39, 'trace_an': 0}
-
id: 209667039
{'hecke_orbit_code': 45035996307260067, 'n': 40, 'trace_an': 0}
-
id: 209667040
{'hecke_orbit_code': 45035996307260067, 'n': 41, 'trace_an': 2}
-
id: 209667041
{'hecke_orbit_code': 45035996307260067, 'n': 42, 'trace_an': 0}
-
id: 209667042
{'hecke_orbit_code': 45035996307260067, 'n': 43, 'trace_an': 6}
-
id: 209667043
{'hecke_orbit_code': 45035996307260067, 'n': 44, 'trace_an': -16}
-
id: 209667044
{'hecke_orbit_code': 45035996307260067, 'n': 45, 'trace_an': 0}
-
id: 209667045
{'hecke_orbit_code': 45035996307260067, 'n': 46, 'trace_an': 3}
-
id: 209667046
{'hecke_orbit_code': 45035996307260067, 'n': 47, 'trace_an': -4}
-
id: 209667047
{'hecke_orbit_code': 45035996307260067, 'n': 48, 'trace_an': 0}
-
id: 209667048
{'hecke_orbit_code': 45035996307260067, 'n': 49, 'trace_an': 14}
-
id: 209667049
{'hecke_orbit_code': 45035996307260067, 'n': 50, 'trace_an': 0}
-
id: 209667050
{'hecke_orbit_code': 45035996307260067, 'n': 51, 'trace_an': 0}
-
id: 209667051
{'hecke_orbit_code': 45035996307260067, 'n': 52, 'trace_an': -22}
-
id: 209667052
{'hecke_orbit_code': 45035996307260067, 'n': 53, 'trace_an': -4}
-
id: 209667053
{'hecke_orbit_code': 45035996307260067, 'n': 54, 'trace_an': 0}
-
id: 209667054
{'hecke_orbit_code': 45035996307260067, 'n': 55, 'trace_an': 0}
-
id: 209667055
{'hecke_orbit_code': 45035996307260067, 'n': 56, 'trace_an': 6}
-
id: 209667056
{'hecke_orbit_code': 45035996307260067, 'n': 57, 'trace_an': 0}
-
id: 209667057
{'hecke_orbit_code': 45035996307260067, 'n': 58, 'trace_an': -8}
-
id: 209667058
{'hecke_orbit_code': 45035996307260067, 'n': 59, 'trace_an': 10}
-
id: 209667059
{'hecke_orbit_code': 45035996307260067, 'n': 60, 'trace_an': 0}
-
id: 209667060
{'hecke_orbit_code': 45035996307260067, 'n': 61, 'trace_an': 6}
-
id: 209667061
{'hecke_orbit_code': 45035996307260067, 'n': 62, 'trace_an': 15}
-
id: 209667062
{'hecke_orbit_code': 45035996307260067, 'n': 63, 'trace_an': 0}
-
id: 209667063
{'hecke_orbit_code': 45035996307260067, 'n': 64, 'trace_an': -4}
-
id: 209667064
{'hecke_orbit_code': 45035996307260067, 'n': 65, 'trace_an': 0}
-
id: 209667065
{'hecke_orbit_code': 45035996307260067, 'n': 66, 'trace_an': 0}
-
id: 209667066
{'hecke_orbit_code': 45035996307260067, 'n': 67, 'trace_an': 16}
-
id: 209667067
{'hecke_orbit_code': 45035996307260067, 'n': 68, 'trace_an': 7}
-
id: 209667068
{'hecke_orbit_code': 45035996307260067, 'n': 69, 'trace_an': 0}
-
id: 209667069
{'hecke_orbit_code': 45035996307260067, 'n': 70, 'trace_an': 0}
-
id: 209667070
{'hecke_orbit_code': 45035996307260067, 'n': 71, 'trace_an': -22}
-
id: 209667071
{'hecke_orbit_code': 45035996307260067, 'n': 72, 'trace_an': 0}
-
id: 209667072
{'hecke_orbit_code': 45035996307260067, 'n': 73, 'trace_an': -18}
-
id: 209667073
{'hecke_orbit_code': 45035996307260067, 'n': 74, 'trace_an': 2}
-
id: 209667074
{'hecke_orbit_code': 45035996307260067, 'n': 75, 'trace_an': 0}
-
id: 209667075
{'hecke_orbit_code': 45035996307260067, 'n': 76, 'trace_an': 13}
-
id: 209667076
{'hecke_orbit_code': 45035996307260067, 'n': 77, 'trace_an': -24}
-
id: 209667077
{'hecke_orbit_code': 45035996307260067, 'n': 78, 'trace_an': 0}
-
id: 209667078
{'hecke_orbit_code': 45035996307260067, 'n': 79, 'trace_an': -16}
-
id: 209667079
{'hecke_orbit_code': 45035996307260067, 'n': 80, 'trace_an': 0}
-
id: 209667080
{'hecke_orbit_code': 45035996307260067, 'n': 81, 'trace_an': 0}
-
id: 209667081
{'hecke_orbit_code': 45035996307260067, 'n': 82, 'trace_an': -14}
-
id: 209667082
{'hecke_orbit_code': 45035996307260067, 'n': 83, 'trace_an': 6}
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