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mf_newforms • Show schema
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{'Nk2': 576, 'analytic_conductor': 1.1498457891064375, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [144, 3, [127, 37, 65], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 97], 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, 8, 9, -1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671479952, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '144.2.i.d', 'level': 144, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '72.2.i.b', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{1}q^{3}+(\\beta _{1}-\\beta _{2}-2\\beta _{3})q^{5}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '144.2.i', 'trace_display': [0, -1, 1, 3], 'trace_hash': 1714070259117376351, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.922', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.293', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 1, -1, -2], [0, 0, 0, 0], [-1, 2, 2, -1], [0, 0, 0, 0], [0, 0, 3, 1], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [-2, -1, 3, 2], [0, 0, 0, 0], [6, -1, -3, 0], [0, 0, 0, 0], [-2, -1, -1, -1], [0, 0, 0, 0], [-4, 1, 1, 1], [0, 0, 0, 0], [3, -2, -6, 1], [0, 0, 0, 0], [2, 1, -3, -2], [0, 0, 0, 0], [-1, 2, -3, -1], [0, 0, 0, 0], [-3, -2, 0, 2], [0, 0, 0, 0], [-1, 2, 2, -1], [0, 0, 0, 0], [4, -1, -3, 2], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [-7, -1, -1, -1], [0, 0, 0, 0], [2, 2, 2, 2], [0, 0, 0, 0], [-6, 1, 3, 2], [0, 0, 0, 0], [7, -2, -5, 4], [0, 0, 0, 0], [2, -4, 3, 2], [0, 0, 0, 0], [0, -3, 3, -2], [0, 0, 0, 0], [-1, 2, 2, -1], [0, 0, 0, 0], [-5, 3, 2, -6], [0, 0, 0, 0], [3, 2, 3, 1], [0, 0, 0, 0], [-6, 2, 2, 2], [0, 0, 0, 0], [1, -1, -1, -1], [0, 0, 0, 0], [-3, 4, -3, -1], [0, 0, 0, 0], [7, 0, -7, 0], [0, 0, 0, 0], [1, -2, 0, 1], [0, 0, 0, 0], [-3, 4, 6, -5], [0, 0, 0, 0], [3, -6, 8, 3], [0, 0, 0, 0], [1, 2, -3, -4], [0, 0, 0, 0], [6, -1, -3, -2], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [-2, -3, -3, -3], [0, 0, 0, 0], [3, 3, -6, -4], [0, 0, 0, 0], [-2, 1, 1, -2], [0, 0, 0, 0], [1, -2, -4, 1], [0, 0, 0, 0], [-6, 5, 6, 0], [0, 0, 0, 0], [1, -2, 12, 1], [0, 0, 0, 0], [8, -2, -6, 4], [0, 0, 0, 0], [3, -2, -6, 1], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [5, -1, -1, -1], [0, 0, 0, 0], [-6, 1, 3, -4], [0, 0, 0, 0], [-8, -4, 12, 8], [0, 0, 0, 0], [2, -4, 3, 2], [0, 0, 0, 0], [-3, 1, 3, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, -1, 0, 0], [0, 1, -1, -2], [-1, 2, 2, -1], [0, 0, 1, 0], [-2, -1, 3, 2], [-2, -1, -1, -1], [-4, 1, 1, 1], [2, 1, -3, -2], [-1, 2, 2, -1], [4, -1, -3, 2], [2, 2, 2, 2], [7, -2, -5, 4], [2, -4, 3, 2], [-1, 2, 2, -1], [-6, 2, 2, 2], [7, 0, -7, 0], [1, -2, 0, 1], [1, 2, -3, -4], [4, 0, 0, 0], [-2, -3, -3, -3], [1, -2, -4, 1], [1, -2, 12, 1], [6, 0, 0, 0], [2, -4, 3, 2], [-3, 6, 0, -3], [-10, 1, 9, -2], [-4, 5, 5, 5], [2, -2, -2, -2], [2, -1, -1, 2], [0, -2, -2, -2], [16, -1, -15, 2], [2, -4, -13, 2], [1, -2, 1, 4], [6, -1, -5, 2], [-1, 2, -2, -1], [-4, -3, 7, 6], [12, 0, 0, 0], [-12, 3, 9, -6], [-1, 2, 14, -1], [4, -8, -8, -8], [-14, 4, 4, 4], [-5, 10, -2, -5], [3, 2, -5, -4], [22, -2, -2, -2], [-4, 6, 6, 6], [-12, -1, 13, 2], [7, -14, 2, 7], [0, 0, -15, 0], [-6, 7, -1, -14], [2, 1, 1, 1], [-2, 5, -3, -10], [2, -4, -1, 2], [-20, 3, 3, 3], [5, 4, -9, -8], [3, -6, -14, 3], [-6, -2, -2, -2], [8, 4, 4, 4], [3, -6, -22, 3], [-5, 10, 2, -5], [12, -5, -7, 10], [-22, -1, 23, 2], [-28, -1, -1, -1], [-18, -3, 21, 6], [6, -12, 3, 6], [7, -14, -14, 7], [5, -10, -20, 5], [1, -8, 7, 16], [5, -10, 5, 20], [-3, 6, -24, -3], [-8, 16, 5, -8], [0, -6, -6, -6], [1, -2, 20, 1], [-14, 3, 11, -6], [16, -3, -3, -3], [0, -9, 9, 18], [7, -14, 6, 7], [2, -6, -6, -6], [3, -6, 3, 12], [-1, 2, -1, -4], [4, 7, -11, -14], [-3, 6, 28, -3], [8, -2, -2, -2], [22, 3, 3, 3], [-3, 6, 0, -3], [-10, 20, 7, -10], [-26, 3, 3, 3], [-2, 4, -1, -2], [3, -6, 14, 3], [20, -9, -11, 18], [-4, -1, -1, -1], [7, -14, 6, 7], [0, -2, -2, -2], [5, 2, -7, -4], [-1, 8, -7, -16], [-20, 4, 4, 4], [24, -3, -21, 6], [2, 3, 3, 3], [0, 4, 4, 4], [-18, 6, 6, 6], [-2, 4, -21, -2], [-14, 0, 0, 0], [5, -2, -3, 4], [6, -12, -13, 6], [-17, 4, 13, -8], [-2, 5, 5, 5], [-6, 12, -5, -6], [-26, 0, 0, 0], [28, -5, -23, 10], [8, -16, 13, 8], [-4, 3, 1, -6], [-6, -2, -2, -2], [-19, 8, 11, -16], [-6, 12, 7, -6], [32, 0, 0, 0], [6, -12, 11, 6], [3, 0, -3, 0], [0, -10, -10, -10], [30, 3, -33, -6], [-3, 6, 12, -3], [20, -11, -9, 22], [-1, 2, -2, -1], [-7, 14, 4, -7], [12, 1, 1, 1], [-3, 6, 8, -3], [-22, -4, -4, -4], [-7, 14, 12, -7], [-32, -4, -4, -4], [3, -6, 18, 3], [26, -5, -21, 10], [-32, -3, -3, -3], [38, 1, -39, -2], [-40, -1, 41, 2], [22, -4, -4, -4], [-2, -9, 11, 18], [-26, 3, 23, -6], [2, 8, 8, 8], [12, -13, 1, 26], [-20, -7, 27, 14], [30, -5, -5, -5], [20, -9, -9, -9], [-1, 2, -22, -1], [32, 3, -35, -6], [-4, -8, -8, -8], [2, 4, 4, 4], [-11, 22, 4, -11], [3, -6, -26, 3], [3, -6, -30, 3], [7, 4, -11, -8], [-8, 8, 8, 8], [-16, 5, 11, -10], [-2, 8, 8, 8], [12, -13, -13, -13], [0, -5, 5, 10], [0, 0, 37, 0], [-3, 6, -8, -3], [-16, -6, -6, -6], [15, -30, -2, 15], [30, 0, 0, 0], [4, 13, -17, -26], [2, -4, -49, 2], [-18, 3, 3, 3], [-6, 1, 5, -2], [-8, 4, 4, 4], [-5, -2, 7, 4], [-3, 6, 48, -3], [-24, -8, -8, -8], [9, -18, -28, 9]], 'char_orbit_index': 9, 'field_poly': [9, -3, -2, -1, 1], 'hecke_orbit_code': 13511348671479952, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [37, [1, 0, 0, 0]], [65, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 1], [3, 2, 0, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -2, 2, 1], [3, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '144.2.i.d', 'level': 144, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 576, 'analytic_conductor': 1.1498457891064375, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [144, 3, [127, 37, 65], [3, 3, 1]], 'conrey_index': 49, 'cusp_dim': 36, 'dim': 10, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368464, 'hecke_orbit_dims': [2, 2, 2, 4], 'label': '144.2.i', 'level': 144, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 60, 'mf_new_dim': 14, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 5, 'sturm_bound': 48, 'trace_bound': 5, 'trace_display': [0, 2, -1, 1], 'traces': [10, 0, 2, 0, -1, 0, 1, 0, -4, 0, 7, 0, -1, 0, 5, 0, -8, 0, 4, 0, -3, 0, -5, 0, -2, 0, -16, 0, 3, 0, 7, 0, -5, 0, -30, 0, -4, 0, -31, 0, -3, 0, 7, 0, 11, 0, -15, 0, 0, 0, 10, 0, -4, 0, -6, 0, -10, 0, 25, 0, -1, 0, 33, 0, 17, 0, 1, 0, 13, 0, 56, 0, -16, 0, 46, 0, 21, 0, 1, 0, 20, 0, 29, 0, -6, 0, 15, 0, 12, 0, -22, 0, 5, 0, -28, 0, 5, 0, -47, 0, -21, 0, -17, 0, 24, 0, -60, 0, -4, 0, -48, 0, 15, 0, -27, 0, -37, 0, -30, 0, 10, 0, -27, 0, -18, 0, -8, 0, -5, 0, 47, 0, -8, 0, 65, 0, -27, 0, -11, 0, -3, 0, 58, 0, 6, 0, 70, 0, -17, 0, -11, 0, -62, 0, 29, 0, -1, 0, 8, 0, -30, 0, 40, 0, 16, 0, -45, 0, 6, 0, -46, 0, 39, 0, -8, 0, -35, 0, -72, 0, -28, 0, -85, 0, -42, 0, 12, 0, 57, 0, -39, 0, 5, 0, -43, 0, 84, 0, 64, 0, 17, 0, 15, 0, 21, 0, 55, 0, 22, 0, 19, 0, 32, 0, 82, 0, 34, 0, 86, 0, -2, 0, 25, 0, 64, 0, 39, 0, 11, 0, -21, 0, 56, 0, 18, 0, -35, 0, -37, 0, -7, 0, -58, 0, -26, 0, 56, 0, 41, 0, -100, 0, 18, 0, -74, 0, 37, 0, 50, 0, -45, 0, -35, 0, -18, 0, 12, 0, -116, 0, -32, 0, 0, 0, 14, 0, -1, 0, 35, 0, -29, 0, 7, 0, -124, 0, 90, 0, -14, 0, 49, 0, -45, 0, -27, 0, -53, 0, 25, 0, 25, 0, 39, 0, -58, 0, -116, 0, 1, 0, -45, 0, -7, 0, -54, 0, 3, 0, -57, 0, -90, 0, 28, 0, 80, 0, -16, 0, -27, 0, -47, 0, 60, 0, -55, 0, -19, 0, -15, 0, 58, 0, -94, 0, 49, 0, 33, 0, -13, 0, 41, 0, 25, 0, -36, 0, 42, 0, 24, 0, -42, 0, 58, 0, 74, 0, -23, 0, 105, 0, 42, 0, -25, 0, 24, 0, 126, 0, 76, 0, 28, 0, 3, 0, -21, 0, -59, 0, -49, 0, 6, 0, 77, 0, -38, 0, -4, 0, -24, 0, 45, 0, -7, 0, -97, 0, -6, 0, -7, 0, 33, 0, -6, 0, 114, 0, -27, 0, 27, 0, -1, 0, 9, 0, -46, 0, 23, 0, 4, 0, 56, 0, -40, 0, 24, 0, -56, 0, 73, 0, -56, 0, -25, 0, -30, 0, 1, 0, -136, 0, 30, 0, 65, 0, 9, 0, 5, 0, 40, 0, 83, 0, 55, 0, -55, 0, -36, 0, -14, 0, 5, 0, -13, 0, 46, 0, 68, 0, 5, 0, -2, 0, -48, 0, 166, 0, -56, 0, 0, 0, 21, 0, -42, 0, 10, 0, 36, 0, 25, 0, 129, 0, -24, 0, -18, 0, -42, 0, 3, 0, -22, 0, 56, 0, -23, 0, 21, 0, -45, 0, 112, 0, -128, 0, -84, 0, 10, 0, 40, 0, 37, 0, -3, 0, -60, 0, 96, 0, -16, 0, -76, 0, -12, 0, 38, 0, -77, 0, -85, 0, 24, 0, 49, 0, 18, 0, -220, 0, -94, 0, -52, 0, -23, 0, 33, 0, -39, 0, -55, 0, -83, 0, -171, 0, -112, 0, 32, 0, -35, 0, -51, 0, -54, 0, -91, 0, 7, 0, 4, 0, -24, 0, -148, 0, 156, 0, -68, 0, 3, 0, 17, 0, 29, 0, 10, 0, -5, 0, -51, 0, -6, 0, -4, 0, 9, 0, -63, 0, 19, 0, 85, 0, 78, 0, 37, 0, 22, 0, -24, 0, 208, 0, 1, 0, -32, 0, 42, 0, 8, 0, 65, 0, 85, 0, 64, 0, 8, 0, 102, 0, -120, 0, 123, 0, 69, 0, 38, 0, -15, 0, 47, 0, 46, 0, 72, 0, 54, 0, 37, 0, -29, 0, -13, 0, 34, 0, -85, 0, 59, 0, 75, 0, 148, 0, 54, 0, 101, 0, 38, 0, 61, 0, -87, 0, 45, 0, -48, 0, -10, 0, -12, 0, -16, 0, 24, 0, -69, 0, 35, 0, -59, 0, -11, 0, -3, 0, 53, 0, -128, 0, 10, 0, -27, 0, -24, 0, -11, 0, -142, 0, 8, 0, 23, 0, -2, 0, -74, 0, -164, 0, 68, 0, 103, 0, -15, 0, 17, 0, 120, 0, -77, 0, -94, 0, 74, 0, 44, 0, 68, 0, -77, 0, -94, 0, 130, 0, -11, 0, -49, 0, 121, 0, 180, 0, -104, 0, -6, 0, -42, 0, -12, 0, -141, 0, 101, 0, -89, 0, 121, 0, -54, 0, -50, 0, -70, 0, -13, 0, -54, 0, 120, 0, -80, 0, -27, 0, -32, 0, 88, 0, 124, 0, -136, 0, 84, 0, -62, 0, 90, 0, -45, 0, -17, 0, 116, 0, 104, 0, 20, 0, 155, 0, 98, 0, 9, 0, -79, 0, 21, 0, -2, 0, -65, 0, -264, 0, 148, 0, -19, 0, 6, 0, -61, 0, -76, 0, -69, 0, 85, 0, -228, 0, -224, 0, -66, 0, -104, 0, -43, 0, 65, 0, -89, 0, -63, 0, -61, 0, -3, 0, -68, 0, 76, 0, 1, 0, 71, 0, -8, 0, 31, 0, -48, 0, 156, 0, -59, 0, 54, 0, -168, 0, 15, 0, -90, 0, 139, 0, 111, 0, 25, 0, 33, 0, 8, 0, 114, 0, -152, 0, 66, 0, -52, 0, -40, 0, -101, 0, 19, 0, -6, 0, 21, 0, -100, 0, -4, 0, -75, 0, 135, 0, -63, 0, 120, 0, -93, 0, -74, 0, -33, 0, 120, 0, -318, 0, 177, 0, 51, 0, 72, 0, 210, 0, -83, 0, -101, 0, -26, 0, 48, 0, -38, 0, 52, 0, 57, 0, -78, 0, -148, 0, 129, 0, 42, 0, 39, 0, 122, 0, -176, 0, -67, 0, -92, 0, -37, 0, -48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 119900
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 119901
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 119902
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 119903
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 119904
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 119905
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 119906
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 119907
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 119908
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 119909
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 119910
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 119911
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 119912
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '648.2.a.f', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 119913
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '648.2.a.g', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 119914
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1296.2.a.n', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 119915
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1296.2.a.p', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 119916
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 119917
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 119918
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 119919
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 119920
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5184.2.a.bo', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 119921
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '5184.2.a.bp', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 119922
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5184.2.a.bs', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 119923
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.2.i.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5184.2.a.bt', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 382350
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511348671479952, 'p': 2}
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id: 382351
{'charpoly_factorization': [[[9, 3, -2, 1, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 3}
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id: 382352
{'charpoly_factorization': [[[64, 8, 9, -1, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 5}
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id: 382353
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 7}
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id: 382354
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 13511348671479952, 'p': 11}
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id: 382355
{'charpoly_factorization': [[[4, -10, 27, 5, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 13}
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id: 382356
{'charpoly_factorization': [[[-2, 5, 1], 2]], 'hecke_orbit_code': 13511348671479952, 'p': 17}
-
id: 382357
{'charpoly_factorization': [[[4, 7, 1], 2]], 'hecke_orbit_code': 13511348671479952, 'p': 19}
-
id: 382358
{'charpoly_factorization': [[[4, 10, 27, -5, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 23}
-
id: 382359
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 29}
-
id: 382360
{'charpoly_factorization': [[[16, -28, 45, -7, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 31}
-
id: 382361
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 13511348671479952, 'p': 37}
-
id: 382362
{'charpoly_factorization': [[[9, -36, 141, -12, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 41}
-
id: 382363
{'charpoly_factorization': [[[289, 136, 81, -8, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 43}
-
id: 382364
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 47}
-
id: 382365
{'charpoly_factorization': [[[-8, 10, 1], 2]], 'hecke_orbit_code': 13511348671479952, 'p': 53}
-
id: 382366
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 13511348671479952, 'p': 59}
-
id: 382367
{'charpoly_factorization': [[[64, 8, 9, -1, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 61}
-
id: 382368
{'charpoly_factorization': [[[841, 116, 45, -4, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 67}
-
id: 382369
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 13511348671479952, 'p': 71}
-
id: 382370
{'charpoly_factorization': [[[-62, 7, 1], 2]], 'hecke_orbit_code': 13511348671479952, 'p': 73}
-
id: 382371
{'charpoly_factorization': [[[16, 28, 45, 7, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 79}
-
id: 382372
{'charpoly_factorization': [[[21904, -3700, 477, -25, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 83}
-
id: 382373
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 13511348671479952, 'p': 89}
-
id: 382374
{'charpoly_factorization': [[[289, 136, 81, -8, 1], 1]], 'hecke_orbit_code': 13511348671479952, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '144.2.i.d', 'level': 144, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 143212000
{'hecke_orbit_code': 13511348671479952, 'n': 1, 'trace_an': 4}
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id: 143212001
{'hecke_orbit_code': 13511348671479952, 'n': 2, 'trace_an': 0}
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id: 143212002
{'hecke_orbit_code': 13511348671479952, 'n': 3, 'trace_an': -1}
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id: 143212003
{'hecke_orbit_code': 13511348671479952, 'n': 4, 'trace_an': 0}
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id: 143212004
{'hecke_orbit_code': 13511348671479952, 'n': 5, 'trace_an': 1}
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id: 143212005
{'hecke_orbit_code': 13511348671479952, 'n': 6, 'trace_an': 0}
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id: 143212006
{'hecke_orbit_code': 13511348671479952, 'n': 7, 'trace_an': 3}
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id: 143212007
{'hecke_orbit_code': 13511348671479952, 'n': 8, 'trace_an': 0}
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id: 143212008
{'hecke_orbit_code': 13511348671479952, 'n': 9, 'trace_an': 5}
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id: 143212009
{'hecke_orbit_code': 13511348671479952, 'n': 10, 'trace_an': 0}
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id: 143212010
{'hecke_orbit_code': 13511348671479952, 'n': 11, 'trace_an': 2}
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id: 143212011
{'hecke_orbit_code': 13511348671479952, 'n': 12, 'trace_an': 0}
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id: 143212012
{'hecke_orbit_code': 13511348671479952, 'n': 13, 'trace_an': -5}
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id: 143212013
{'hecke_orbit_code': 13511348671479952, 'n': 14, 'trace_an': 0}
-
id: 143212014
{'hecke_orbit_code': 13511348671479952, 'n': 15, 'trace_an': 17}
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id: 143212015
{'hecke_orbit_code': 13511348671479952, 'n': 16, 'trace_an': 0}
-
id: 143212016
{'hecke_orbit_code': 13511348671479952, 'n': 17, 'trace_an': -10}
-
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id: 143212999
{'hecke_orbit_code': 13511348671479952, 'n': 1000, 'trace_an': 0}