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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 0, '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': 16, 'hecke_orbit_code': 67553994444112547, '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.p', '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': 1579407715440642872, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.257', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.374', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.019', '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, 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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': 67553994444112547, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '675.2.a.p', '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: 444342
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444343
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444344
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444345
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 444346
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 444347
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 444348
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444349
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444350
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 444351
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 444352
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 444353
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 444354
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 444355
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 444356
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 444357
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '675.2.a.p', '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': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1193625
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 2}
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id: 1193626
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67553994444112547, 'p': 3}
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id: 1193627
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67553994444112547, 'p': 5}
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id: 1193628
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 7}
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id: 1193629
{'charpoly_factorization': [[[-12, -2, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 11}
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id: 1193630
{'charpoly_factorization': [[[-4, 6, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 13}
-
id: 1193631
{'charpoly_factorization': [[[-9, -4, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 17}
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id: 1193632
{'charpoly_factorization': [[[-13, 0, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 19}
-
id: 1193633
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 67553994444112547, 'p': 23}
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id: 1193634
{'charpoly_factorization': [[[12, -10, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 29}
-
id: 1193635
{'charpoly_factorization': [[[-9, 4, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 31}
-
id: 1193636
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 67553994444112547, 'p': 37}
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id: 1193637
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 41}
-
id: 1193638
{'charpoly_factorization': [[[-4, -6, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 43}
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id: 1193639
{'charpoly_factorization': [[[-48, -4, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 47}
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id: 1193640
{'charpoly_factorization': [[[-9, -4, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 53}
-
id: 1193641
{'charpoly_factorization': [[[12, 10, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 59}
-
id: 1193642
{'charpoly_factorization': [[[-43, -6, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 61}
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id: 1193643
{'charpoly_factorization': [[[12, -16, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 67}
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id: 1193644
{'charpoly_factorization': [[[108, -22, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 71}
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id: 1193645
{'charpoly_factorization': [[[68, 18, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 73}
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id: 1193646
{'charpoly_factorization': [[[51, 16, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 79}
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id: 1193647
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 67553994444112547, 'p': 83}
-
id: 1193648
{'charpoly_factorization': [[[-108, 6, 1], 1]], 'hecke_orbit_code': 67553994444112547, 'p': 89}
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id: 1193649
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 67553994444112547, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '675.2.a.p', 'level': 675, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 233926000
{'hecke_orbit_code': 67553994444112547, 'n': 1, 'trace_an': 2}
-
id: 233926001
{'hecke_orbit_code': 67553994444112547, 'n': 2, 'trace_an': 1}
-
id: 233926002
{'hecke_orbit_code': 67553994444112547, 'n': 3, 'trace_an': 0}
-
id: 233926003
{'hecke_orbit_code': 67553994444112547, 'n': 4, 'trace_an': 3}
-
id: 233926004
{'hecke_orbit_code': 67553994444112547, 'n': 5, 'trace_an': 0}
-
id: 233926005
{'hecke_orbit_code': 67553994444112547, 'n': 6, 'trace_an': 0}
-
id: 233926006
{'hecke_orbit_code': 67553994444112547, 'n': 7, 'trace_an': -2}
-
id: 233926007
{'hecke_orbit_code': 67553994444112547, 'n': 8, 'trace_an': 6}
-
id: 233926008
{'hecke_orbit_code': 67553994444112547, 'n': 9, 'trace_an': 0}
-
id: 233926009
{'hecke_orbit_code': 67553994444112547, 'n': 10, 'trace_an': 0}
-
id: 233926010
{'hecke_orbit_code': 67553994444112547, 'n': 11, 'trace_an': 2}
-
id: 233926011
{'hecke_orbit_code': 67553994444112547, 'n': 12, 'trace_an': 0}
-
id: 233926012
{'hecke_orbit_code': 67553994444112547, 'n': 13, 'trace_an': -6}
-
id: 233926013
{'hecke_orbit_code': 67553994444112547, 'n': 14, 'trace_an': 12}
-
id: 233926014
{'hecke_orbit_code': 67553994444112547, 'n': 15, 'trace_an': 0}
-
id: 233926015
{'hecke_orbit_code': 67553994444112547, 'n': 16, 'trace_an': -3}
-
id: 233926016
{'hecke_orbit_code': 67553994444112547, 'n': 17, 'trace_an': 4}
-
id: 233926017
{'hecke_orbit_code': 67553994444112547, 'n': 18, 'trace_an': 0}
-
id: 233926018
{'hecke_orbit_code': 67553994444112547, 'n': 19, 'trace_an': 0}
-
id: 233926019
{'hecke_orbit_code': 67553994444112547, 'n': 20, 'trace_an': 0}
-
id: 233926020
{'hecke_orbit_code': 67553994444112547, 'n': 21, 'trace_an': 0}
-
id: 233926021
{'hecke_orbit_code': 67553994444112547, 'n': 22, 'trace_an': 14}
-
id: 233926022
{'hecke_orbit_code': 67553994444112547, 'n': 23, 'trace_an': 6}
-
id: 233926023
{'hecke_orbit_code': 67553994444112547, 'n': 24, 'trace_an': 0}
-
id: 233926024
{'hecke_orbit_code': 67553994444112547, 'n': 25, 'trace_an': 0}
-
id: 233926025
{'hecke_orbit_code': 67553994444112547, 'n': 26, 'trace_an': -16}
-
id: 233926026
{'hecke_orbit_code': 67553994444112547, 'n': 27, 'trace_an': 0}
-
id: 233926027
{'hecke_orbit_code': 67553994444112547, 'n': 28, 'trace_an': 10}
-
id: 233926028
{'hecke_orbit_code': 67553994444112547, 'n': 29, 'trace_an': 10}
-
id: 233926029
{'hecke_orbit_code': 67553994444112547, 'n': 30, 'trace_an': 0}
-
id: 233926030
{'hecke_orbit_code': 67553994444112547, 'n': 31, 'trace_an': -4}
-
id: 233926031
{'hecke_orbit_code': 67553994444112547, 'n': 32, 'trace_an': -7}
-
id: 233926032
{'hecke_orbit_code': 67553994444112547, 'n': 33, 'trace_an': 0}
-
id: 233926033
{'hecke_orbit_code': 67553994444112547, 'n': 34, 'trace_an': -11}
-
id: 233926034
{'hecke_orbit_code': 67553994444112547, 'n': 35, 'trace_an': 0}
-
id: 233926035
{'hecke_orbit_code': 67553994444112547, 'n': 36, 'trace_an': 0}
-
id: 233926036
{'hecke_orbit_code': 67553994444112547, 'n': 37, 'trace_an': -4}
-
id: 233926037
{'hecke_orbit_code': 67553994444112547, 'n': 38, 'trace_an': 13}
-
id: 233926038
{'hecke_orbit_code': 67553994444112547, 'n': 39, 'trace_an': 0}
-
id: 233926039
{'hecke_orbit_code': 67553994444112547, 'n': 40, 'trace_an': 0}
-
id: 233926040
{'hecke_orbit_code': 67553994444112547, 'n': 41, 'trace_an': -2}
-
id: 233926041
{'hecke_orbit_code': 67553994444112547, 'n': 42, 'trace_an': 0}
-
id: 233926042
{'hecke_orbit_code': 67553994444112547, 'n': 43, 'trace_an': 6}
-
id: 233926043
{'hecke_orbit_code': 67553994444112547, 'n': 44, 'trace_an': 16}
-
id: 233926044
{'hecke_orbit_code': 67553994444112547, 'n': 45, 'trace_an': 0}
-
id: 233926045
{'hecke_orbit_code': 67553994444112547, 'n': 46, 'trace_an': 3}
-
id: 233926046
{'hecke_orbit_code': 67553994444112547, 'n': 47, 'trace_an': 4}
-
id: 233926047
{'hecke_orbit_code': 67553994444112547, 'n': 48, 'trace_an': 0}
-
id: 233926048
{'hecke_orbit_code': 67553994444112547, 'n': 49, 'trace_an': 14}
-
id: 233926049
{'hecke_orbit_code': 67553994444112547, 'n': 50, 'trace_an': 0}
-
id: 233926050
{'hecke_orbit_code': 67553994444112547, 'n': 51, 'trace_an': 0}
-
id: 233926051
{'hecke_orbit_code': 67553994444112547, 'n': 52, 'trace_an': -22}
-
id: 233926052
{'hecke_orbit_code': 67553994444112547, 'n': 53, 'trace_an': 4}
-
id: 233926053
{'hecke_orbit_code': 67553994444112547, 'n': 54, 'trace_an': 0}
-
id: 233926054
{'hecke_orbit_code': 67553994444112547, 'n': 55, 'trace_an': 0}
-
id: 233926055
{'hecke_orbit_code': 67553994444112547, 'n': 56, 'trace_an': -6}
-
id: 233926056
{'hecke_orbit_code': 67553994444112547, 'n': 57, 'trace_an': 0}
-
id: 233926057
{'hecke_orbit_code': 67553994444112547, 'n': 58, 'trace_an': -8}
-
id: 233926058
{'hecke_orbit_code': 67553994444112547, 'n': 59, 'trace_an': -10}
-
id: 233926059
{'hecke_orbit_code': 67553994444112547, 'n': 60, 'trace_an': 0}
-
id: 233926060
{'hecke_orbit_code': 67553994444112547, 'n': 61, 'trace_an': 6}
-
id: 233926061
{'hecke_orbit_code': 67553994444112547, 'n': 62, 'trace_an': -15}
-
id: 233926062
{'hecke_orbit_code': 67553994444112547, 'n': 63, 'trace_an': 0}
-
id: 233926063
{'hecke_orbit_code': 67553994444112547, 'n': 64, 'trace_an': -4}
-
id: 233926064
{'hecke_orbit_code': 67553994444112547, 'n': 65, 'trace_an': 0}
-
id: 233926065
{'hecke_orbit_code': 67553994444112547, 'n': 66, 'trace_an': 0}
-
id: 233926066
{'hecke_orbit_code': 67553994444112547, 'n': 67, 'trace_an': 16}
-
id: 233926067
{'hecke_orbit_code': 67553994444112547, 'n': 68, 'trace_an': -7}
-
id: 233926068
{'hecke_orbit_code': 67553994444112547, 'n': 69, 'trace_an': 0}
-
id: 233926069
{'hecke_orbit_code': 67553994444112547, 'n': 70, 'trace_an': 0}
-
id: 233926070
{'hecke_orbit_code': 67553994444112547, 'n': 71, 'trace_an': 22}
-
id: 233926071
{'hecke_orbit_code': 67553994444112547, 'n': 72, 'trace_an': 0}
-
id: 233926072
{'hecke_orbit_code': 67553994444112547, 'n': 73, 'trace_an': -18}
-
id: 233926073
{'hecke_orbit_code': 67553994444112547, 'n': 74, 'trace_an': -2}
-
id: 233926074
{'hecke_orbit_code': 67553994444112547, 'n': 75, 'trace_an': 0}
-
id: 233926075
{'hecke_orbit_code': 67553994444112547, 'n': 76, 'trace_an': 13}
-
id: 233926076
{'hecke_orbit_code': 67553994444112547, 'n': 77, 'trace_an': 24}
-
id: 233926077
{'hecke_orbit_code': 67553994444112547, 'n': 78, 'trace_an': 0}
-
id: 233926078
{'hecke_orbit_code': 67553994444112547, 'n': 79, 'trace_an': -16}
-
id: 233926079
{'hecke_orbit_code': 67553994444112547, 'n': 80, 'trace_an': 0}
-
id: 233926080
{'hecke_orbit_code': 67553994444112547, 'n': 81, 'trace_an': 0}
-
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