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mf_newforms • Show schema
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{'Nk2': 1400, 'analytic_conductor': 2.7947640707448134, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, 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': [350, 1, [127, 101], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [3, 1]], [13, [6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666270, 'hecke_ring_generator_nbound': 1, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '350.2.a.d', 'level': 350, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '350.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-3q^{3}+q^{4}-3q^{6}-q^{7}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/350/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '350.2.a', 'trace_display': [1, -3, 0, -1], 'trace_hash': 1554332666203571201, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.983', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.003', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [1, 1, -3, 1, 0, -3, -1, 1, 6, 0, -5, -3, -6, -1, 0, 1, -1, 6, -3, 0, 3, -5, 0, -3, 0, -6, -9, -1, -6, 0, -4, 1, 15, -1, 0, 6, 8, -3, 18, 0, 11, 3, -8, -5, 0, 0, 2, -3, 1, 0, 3, -6, 4, -9, 0, -1, 9, -6, 4, 0, -2, -4, -6, 1, 0, 15, 9, -1, 0, 0, -10, 6, -7, 8, 0, -3, 5, 18, -2, 0, 9, 11, 11, 3, 0, -8, 18, -5, -11, 0, 6, 0, 12, 2, 0, -3, -10, 1, -30, 0, 0, 3, 4, -6, 0, 4, 3, -9, -18, 0, -24, -1, -1, 9, 0, -6, -36, 4, 1, 0, 14, -2, -33, -4, 0, -6, -14, 1, 24, 0, 8, 15, 3, 9, 0, -1, -3, 0, -11, 0, -6, -10, 30, 6, 0, -7, -3, 8, 12, 0, 8, -3, -6, 5, 0, 18, 4, -2, -12, 0, 0, 9, -19, 11, 0, 11, 12, 3, 23, 0, -18, -8, 2, 18, 0, -5, -12, -11, 3, 0, 10, 6, 6, 0, 0, 12, 5, 2, 9, 0, -6, -3, -19, -10, 0, 1, -22, -30, -10, 0, -27, 0, 6, 3, 0, 4, 0, -6, 15, 0, 1, 4, 30, 3, 0, -9, 4, -18, 21, 0, 6, -24, 22, -1, 0, -1, -28, 9, -14, 0, -15, -6, 6, -36, 0, 4, 6, 1, 4, 0, -5, 14, 0, -2, 0, -33, 18, -4, -33, 0, 27, -6, 0, -14, 0, 1, 2, 24, -8, 0, -36, 8, -10, 15, 0, 3, 33, 9, 18, 0, -6, -1, -18, -3, 0, 0, -30, -11, -24, 0, 14, -6, -13, -10, 0, 30, -11, 6, -16, 0, 30, -7, -14, -3, 0, 8, 45, 12, 0, 0, 8, 8, 0, -3, 0, -6, 13, 5, -12, 0, 6, 18, -10, 4, 0, -2, 4, -12, 30, 0, -9, 0, 3, 9, 0, -19, 54, 11, -2, 0, -17, 11, 48, 12, 0, 3, -29, 23, 3, 0, 20, -18, -1, -8, 0, 2, 19, 18, -8, 0, 54, -5, -18, -12, 0, -11, -3, 3, 26, 0, -10, 10, -42, 6, 0, 6, -8, 0, 66, 0, -4, 12, -4, 5, 0, 2, 36, 9, 9, 0, 42, -6, -6, -3, 0, -19, -48, -10, 8, 0, 0, 1, -24, -22, 0, -30, 10, -10, -9, 0, 37, -27, 24, 0, 0, 6, -40, 3, -21, 0, 9, 4, -4, 0, 0, -6, 33, 15, -39, 0, 20, 1, 12, 4, 0, 30, 2, 3, -90, 0, -36, -9, -1, 4, 0, -18, 0, 21, 28, 0, 6, 6, 37, -24, 0, 22, -36, -1, 33, 0, -55, -1, -24, -28, 0, 9, 25, -14, 9, 0, -38, -15, 8, -6, 0, 6, -4, -36, -9, 0, -12, 4, 40, 6, 0, 1, 24, 4, -6, 0, -48, -5, 0, 14, 0, 0, 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-24, 12, 0, -4, 66, 5, -3, 0, 50, 2, -81, 36, 0, 9, -2, 9, 0, 0, 27, 42, 18, -6, 0, -6, -24, -3, 19, 0, -6, -19, 36, -48, 0, -10, 24, 8, -33, 0, 50, 0, 54, 1, 0, -24, 52, -22, 30, 0, 1, -30, 12, 10, 0, -10, 42, -9, -2, 0, -66, 37, 35, -27, 0, 24, -54, 0, 6, 0, -28, 6, 18, -40, 0, 3, 24, -21, 36, 0, -24, 9, 10, 4, 0, -4, 41, 0, -4, 0, 90, -6, -1, 33, 0, 15, 36, -39, 2, 0, 7, 20, -42, 1, 0, 12, -14, 4, 39, 0, 0, 30, -34, 2, 0, 3, 3, -90, -51, 0, 33, -36, 4, -9, 0, -1, 48, 4, 10, 0, -54, -18, -60, 0, 0, 21, 32, 28, 42, 0, 26, 6, 15, 6, 0, 37, -34, -24, 14, 0, -45, 22, -6, -36, 0, -1, 0, 33, 24, 0, -4, -55, -24, -1, 0, -24, -4, -28, 0, 0, -12, 9, -55, 25, 0, -14, -8, 9, -34, 0, -39, -38, 60, -15, 0, 8, 24, -6, 46, 0, -3, 6, -18, -4, 0, -36, -7, -9, 30, 0, 56, -12, 0, 4, 0, 40, -4, 6, 42, 0, -12, 1, 9, 24, 0, 4, -90, -6, 3, 0, -15, -48, 18, -5, 0, 0, -2, 14, -9, 0, -51, 0, 11, -34, 0, -2, 21, 57, 55, 0, -108, -12, -4, -33, 0, 6, 6, 18, 0, 0, 4, -4, 51, 10, 0, -33, -58, 36, -72, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [-3], [1], [0], [-3], [-1], [1], [6], [0], [-5], [-3], [-6], [-1], [0], [1], [-1], [6], [-3], [0], [3], [-5], [0], [-3], [0], [-6], [-9], [-1], [-6], [0], [-4], [1], [15], [-1], [0], [6], [8], [-3], [18], [0], [11], [3], [-8], [-5], [0], [0], [2], [-3], [1], [0], [3], [-6], [4], [-9], [0], [-1], [9], [-6], [4], [0], [-2], [-4], [-6], [1], [0], [15], [9], [-1], [0], [0], [-10], [6], [-7], [8], [0], [-3], [5], [18], [-2], [0], [9], [11], [11], [3], [0], [-8], [18], [-5], [-11], [0], [6], [0], [12], [2], [0], [-3], [-10], [1], [-30], [0]], 'ap': [[1], [-3], [0], [-1], [-5], [-6], [-1], [-3], [0], [-6], [-4], [8], [11], [-8], [2], [4], [4], [-2], [9], [-10], [-7], [-2], [11], [-11], [-10], [0], [4], [3], [-18], [-1], [-14], [8], [-3], [-11], [12], [8], [4], [-19], [12], [2], [3], [10], [-6], [-19], [-22], [-10], [1], [22], [-28], [-14], [6], [4], [-5], [27], [2], [-10], [18], [-6], [-30], [14], [-13], [-14], [13], [6], [-10], [4], [-17], [-29], [19], [-8], [-18], [26], [-8], [-4], [9], [-6], [8], [10], [37], [-21], [-39], [20], [-36], [-1], [28], [37], [33], [25], [-38], [8], [-4], [-6], [-34], [-12], [36], [-30], [-14], [11], [13], [-42], [27], [4], [20], [21], [12], [13], [-13], [-39], [-24], [21], [28], [18], [14], [-4], [-16], [2], [16], [-8], [-28], [1], [-50], [34], [-48], [-13], [49], [-32], [4], [-48], [6], [40], [4], [-24], [50], [-2], [27], [19], [36], [52], [42], [6], [-28], [-24], [10], [41], [-4], [2], [-34], [3], [-51], [4], [32], [26], [15], [-34], [-4], [-12], [-34], [46], [-7], [56], [-4], [9], [-2], [-51], [21], [-4], [4], [-58]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915666270, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '350.2.a.d', 'level': 350, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 2, 2, 0, 1, 0, 1, 3], 'Nk2': 1400, 'analytic_conductor': 2.7947640707448134, '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': [350, 1, [127, 101], [1, 1]], 'conrey_index': 1, 'cusp_dim': 49, 'dim': 10, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 33554782, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2], 'label': '350.2.a', 'level': 350, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 72, 'mf_new_dim': 10, 'num_forms': 8, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 10, 'sturm_bound': 120, 'trace_bound': 3, 'trace_display': [0, 2, 0, 0], 'traces': [10, 0, 2, 10, 0, -2, 0, 0, 18, 0, 0, 2, 10, 2, 0, 10, -8, 4, -2, 0, 6, -4, 0, -2, 0, -18, -4, 0, -16, 0, 4, 0, 0, -8, 0, 18, 8, 2, 24, 0, -12, -2, -12, 0, 0, 8, 4, 2, 10, 0, 0, 10, -4, -32, 0, 2, 4, -12, 2, 0, -6, -12, -4, 10, 0, -12, 16, -8, -48, 0, -48, 4, -4, 12, 0, -2, 4, 8, 32, 0, -18, 4, -2, 6, 0, -20, -12, -4, -88, 0, 10, 0, -8, -4, 0, -2, 8, 0, -84, 0, 18, -12, -12, -18, 0, 0, -24, -4, 8, 0, -36, 0, -8, -16, 0, -16, -14, 2, 4, 0, 70, 22, 12, 4, 0, -2, 24, 0, 96, 0, 2, 0, -2, 28, 0, -8, -12, 0, 10, 0, -48, 16, 24, 18, 0, 4, 2, 8, 60, 0, 48, 2, 0, 12, 0, 24, -6, 16, -12, 0, 8, -20, 20, -12, 0, 18, 12, -2, 42, 0, 42, -12, 34, 60, 0, 0, -12, -16, 4, 0, 38, -10, 16, 8, 0, 56, -8, 4, 12, 0, 16, 2, -16, -52, 0, 10, 4, 12, 60, 0, -60, 6, 12, 0, 0, 36, 0, 10, 36, 0, 84, -4, 0, 44, 0, -32, 12, -4, 0, 0, 4, -4, -24, 2, 0, -64, -26, 4, -2, 0, -72, -12, 12, -82, 0, 2, 16, 8, -40, 0, -36, -16, -10, -6, 0, -24, 8, -12, -48, 0, 50, -4, 0, 24, 0, 10, 4, -16, 4, 0, -48, 34, -8, -12, 0, 6, -12, 16, 14, 0, 24, -8, -8, -20, 0, -48, 28, -2, -12, 0, -60, 24, -10, -48, 0, 96, -4, 4, -94, 0, -36, -4, -34, -2, 0, 12, 0, -24, 32, 0, 20, 0, 0, -2, 0, -60, 6, 4, -24, 0, -24, 8, 32, 38, 0, 32, -28, -12, -48, 0, -36, 0, -12, -18, 0, 32, 4, 4, -52, 0, -88, -2, -32, 60, 0, 6, 0, -20, -120, 0, -48, 2, 0, -20, 0, -42, 20, -12, -42, 0, 72, -4, -12, 12, 0, -88, 12, 0, -8, 0, 18, 34, -22, 10, 0, -16, -24, 0, 96, 0, 0, -8, -28, 36, 0, -4, 12, 4, 88, 0, 168, 0, -60, -2, 0, -32, 4, 8, 72, 0, -16, 0, 36, -80, 0, -84, -30, 36, -60, 0, -12, 8, 32, 18, 0, 8, 40, -12, -68, 0, 120, -12, -2, 24, 0, -18, 28, 0, -70, 0, 4, -8, 36, 0, 0, 120, -22, -24, -72, 0, -88, -4, 32, 12, 0, 8, 0, -4, 80, 0, 18, -12, 32, -36, 0, 96, -36, 0, -16, 0, -252, -8, 16, -42, 0, -16, 0, 10, 12, 0, 22, 0, -16, -16, 0, -56, 46, -14, 8, 0, 48, 2, -16, 104, 0, 4, -12, 8, 108, 0, 4, -20, 0, 70, 0, 22, -16, 22, 108, 0, -48, 12, 24, 8, 0, 4, -16, 12, 64, 0, 24, -18, 24, -2, 0, 96, 6, 24, -34, 0, 32, 0, -8, -120, 0, 96, -32, -8, 120, 0, 180, 12, -18, 2, 0, 0, 8, 0, -118, 0, -30, -2, 36, 24, 0, 28, -24, -6, 0, 0, -28, -16, 40, -8, 0, -64, -20, -12, 138, 0, 92, 0, -16, -24, 0, 10, -28, 20, 56, 0, 84, -32, -14, -48, 0, -38, 20, 16, 84, 0, -28, 24, 48, -72, 0, 18, -12, 32, 288, 0, -54, 20, 8, 4, 0, -78, 34, 2, 88, 0, 108, 8, 12, 60, 0, 60, 40, 0, -96, 0, 56, 12, -32, 48, 0, -24, 0, 2, 12, 0, 32, 0, -8, 34, 0, 12, 16, 8, -206, 0, 0, 0, 16, 24, 0, -44, 0, -6, 40, 0, -72, 16, -8, -8, 0, -12, 10, -24, -168, 0, -8, -24, 18, 8, 0, -80, -4, -20, -48, 0, 24, 20, -32, 188, 0, -12, 4, -4, 72, 0, -254, 4, -48, 18, 0, 68, 0, 12, -120, 0, -48, -2, -12, -72, 0, 42, -6, -12, -36, 0, 84, -32, 16, 42, 0, 2, -8, -12, -204, 0, -2, 34, -12, -72, 0, 60, -40, -38, -108, 0, 80, -16, -4, 0, 0, -72, -6, -12, -72, 0, -24, -16, 0, 12, 0, 4, 48, -32, 20, 0, -20, 4, -20, 38, 0, -110, -44, -10, -150, 0, 152, 16, 54, -120, 0, 8, 48, 12, -20, 0, -168, 4, -72, 56, 0, -56, 30, -8, 32, 0, -176, 4, -36, -76, 0, 12, -24, -4, -96, 0, -68, 32, 4, 16, 0, -36, -72, 2, 4, 0, 36, -16, -66, -196, 0, -52, 4, 4, -72, 0, -24, 0, 24, 10, 0, -36, 30, 4, -24, 0, -52, 12, -52, 54, 0, 60, 18, -4, -64, 0, -228, -4, -8, -60, 0, -112, -24, 6, 136, 0, -6, 12, -32, -72, 0, 0, -16, 44, 18, 0, 84, -36, 48, 36, 0, 14, -8, 0, -14, 0, 252, 10, -8, 56, 0, 36, 16, -18, 116, 0, 38, 0, -12, 84, 0, -12, 16, -4, 240, 0, -16, 0, 2, 14, 0, 44, 72, 0, -150, 0, 84, 24, 56, -32, 0, 96, 38, 12, -24, 0, -112, -4, 16, 80, 0, 0, 8, 16, -96, 0, 60, 4, -8, 4, 0, 108, 52, -4, 64, 0, -48, -24, 24, -180, 0, 2, 0, 48, 296, 0, -96, -8, 16, -64, 0, 176, 8, -26, 90, 0, 32, 4, -32, 64, 0, -2, -34, 24, -184, 0, 24, 2, -96, -72, 0, 48, 52, -12, 144, 0, -2, 12, -48, -2, 0, -82, -52, -16, 252, 0, 50, 8, 0, 2, 0, 48, -68, 16, 116, 0, 180, 8, 108, 168, 0, -40, 0, -60, 40, 0, -6, -68, 24, -36, 0, -48, -48, -16, -36, 0, -162, -10, 2, 0, 0, -6, 36, 32, 60, 0, -264, -24, 52, -24, 0, 8, -24, 8, -128, 0, 256, -12, 16, 24, 0, -48, 14, 8, -216, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 265245
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '350.2.a.c', 'target_level': 350, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 265246
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '350.2.a.d', 'target_level': 350, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 265247
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '350.2.c.a', 'target_level': 350, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 265248
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2450.2.a.a', 'target_level': 2450, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 265249
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '2450.2.a.bg', 'target_level': 2450, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 265250
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2450.2.c.r', 'target_level': 2450, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 265251
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2800.2.a.b', 'target_level': 2800, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 265252
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '2800.2.a.bg', 'target_level': 2800, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 265253
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2800.2.g.a', 'target_level': 2800, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 265254
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3150.2.a.j', 'target_level': 3150, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 265255
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '3150.2.a.bq', 'target_level': 3150, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 265256
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '350.2.a.d', 'source_level': 350, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3150.2.g.v', 'target_level': 3150, 'twist_class_label': '350.2.a.c', 'twist_class_level': 350, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 751575
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 2}
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id: 751576
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 3}
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id: 751577
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 5}
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id: 751578
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 7}
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id: 751579
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 11}
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id: 751580
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 13}
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id: 751581
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 17}
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id: 751582
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 19}
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id: 751583
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 23}
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id: 751584
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 29}
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id: 751585
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 31}
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id: 751586
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 37}
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id: 751587
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 41}
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id: 751588
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 43}
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id: 751589
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 47}
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id: 751590
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 53}
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id: 751591
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 59}
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id: 751592
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 61}
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id: 751593
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 67}
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id: 751594
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 71}
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id: 751595
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 73}
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id: 751596
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 79}
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id: 751597
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 83}
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id: 751598
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 89}
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id: 751599
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915666270, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '350.2.a.d', 'level': 350, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 32450959
{'hecke_orbit_code': 13510798915666270, 'n': 1, 'trace_an': 1}
-
id: 32450960
{'hecke_orbit_code': 13510798915666270, 'n': 2, 'trace_an': 1}
-
id: 32450961
{'hecke_orbit_code': 13510798915666270, 'n': 3, 'trace_an': -3}
-
id: 32450962
{'hecke_orbit_code': 13510798915666270, 'n': 4, 'trace_an': 1}
-
id: 32450963
{'hecke_orbit_code': 13510798915666270, 'n': 5, 'trace_an': 0}
-
id: 32450964
{'hecke_orbit_code': 13510798915666270, 'n': 6, 'trace_an': -3}
-
id: 32450965
{'hecke_orbit_code': 13510798915666270, 'n': 7, 'trace_an': -1}
-
id: 32450966
{'hecke_orbit_code': 13510798915666270, 'n': 8, 'trace_an': 1}
-
id: 32450967
{'hecke_orbit_code': 13510798915666270, 'n': 9, 'trace_an': 6}
-
id: 32450968
{'hecke_orbit_code': 13510798915666270, 'n': 10, 'trace_an': 0}
-
id: 32450969
{'hecke_orbit_code': 13510798915666270, 'n': 11, 'trace_an': -5}
-
id: 32450970
{'hecke_orbit_code': 13510798915666270, 'n': 12, 'trace_an': -3}
-
id: 32450971
{'hecke_orbit_code': 13510798915666270, 'n': 13, 'trace_an': -6}
-
id: 32450972
{'hecke_orbit_code': 13510798915666270, 'n': 14, 'trace_an': -1}
-
id: 32450973
{'hecke_orbit_code': 13510798915666270, 'n': 15, 'trace_an': 0}
-
id: 32450974
{'hecke_orbit_code': 13510798915666270, 'n': 16, 'trace_an': 1}
-
id: 32450975
{'hecke_orbit_code': 13510798915666270, 'n': 17, 'trace_an': -1}
-
id: 32450976
{'hecke_orbit_code': 13510798915666270, 'n': 18, 'trace_an': 6}
-
id: 32450977
{'hecke_orbit_code': 13510798915666270, 'n': 19, 'trace_an': -3}
-
id: 32450978
{'hecke_orbit_code': 13510798915666270, 'n': 20, 'trace_an': 0}
-
id: 32450979
{'hecke_orbit_code': 13510798915666270, 'n': 21, 'trace_an': 3}
-
id: 32450980
{'hecke_orbit_code': 13510798915666270, 'n': 22, 'trace_an': -5}
-
id: 32450981
{'hecke_orbit_code': 13510798915666270, 'n': 23, 'trace_an': 0}
-
id: 32450982
{'hecke_orbit_code': 13510798915666270, 'n': 24, 'trace_an': -3}
-
id: 32450983
{'hecke_orbit_code': 13510798915666270, 'n': 25, 'trace_an': 0}
-
id: 32450984
{'hecke_orbit_code': 13510798915666270, 'n': 26, 'trace_an': -6}
-
id: 32450985
{'hecke_orbit_code': 13510798915666270, 'n': 27, 'trace_an': -9}
-
id: 32450986
{'hecke_orbit_code': 13510798915666270, 'n': 28, 'trace_an': -1}
-
id: 32450987
{'hecke_orbit_code': 13510798915666270, 'n': 29, 'trace_an': -6}
-
id: 32450988
{'hecke_orbit_code': 13510798915666270, 'n': 30, 'trace_an': 0}
-
id: 32450989
{'hecke_orbit_code': 13510798915666270, 'n': 31, 'trace_an': -4}
-
id: 32450990
{'hecke_orbit_code': 13510798915666270, 'n': 32, 'trace_an': 1}
-
id: 32450991
{'hecke_orbit_code': 13510798915666270, 'n': 33, 'trace_an': 15}
-
id: 32450992
{'hecke_orbit_code': 13510798915666270, 'n': 34, 'trace_an': -1}
-
id: 32450993
{'hecke_orbit_code': 13510798915666270, 'n': 35, 'trace_an': 0}
-
id: 32450994
{'hecke_orbit_code': 13510798915666270, 'n': 36, 'trace_an': 6}
-
id: 32450995
{'hecke_orbit_code': 13510798915666270, 'n': 37, 'trace_an': 8}
-
id: 32450996
{'hecke_orbit_code': 13510798915666270, 'n': 38, 'trace_an': -3}
-
id: 32450997
{'hecke_orbit_code': 13510798915666270, 'n': 39, 'trace_an': 18}
-
id: 32450998
{'hecke_orbit_code': 13510798915666270, 'n': 40, 'trace_an': 0}
-
id: 32450999
{'hecke_orbit_code': 13510798915666270, 'n': 41, 'trace_an': 11}
-
id: 32451000
{'hecke_orbit_code': 13510798915666270, 'n': 42, 'trace_an': 3}
-
id: 32451001
{'hecke_orbit_code': 13510798915666270, 'n': 43, 'trace_an': -8}
-
id: 32451002
{'hecke_orbit_code': 13510798915666270, 'n': 44, 'trace_an': -5}
-
id: 32451003
{'hecke_orbit_code': 13510798915666270, 'n': 45, 'trace_an': 0}
-
id: 32451004
{'hecke_orbit_code': 13510798915666270, 'n': 46, 'trace_an': 0}
-
id: 32451005
{'hecke_orbit_code': 13510798915666270, 'n': 47, 'trace_an': 2}
-
id: 32451006
{'hecke_orbit_code': 13510798915666270, 'n': 48, 'trace_an': -3}
-
id: 32451007
{'hecke_orbit_code': 13510798915666270, 'n': 49, 'trace_an': 1}
-
id: 32451008
{'hecke_orbit_code': 13510798915666270, 'n': 50, 'trace_an': 0}
-
id: 32451009
{'hecke_orbit_code': 13510798915666270, 'n': 51, 'trace_an': 3}
-
id: 32451010
{'hecke_orbit_code': 13510798915666270, 'n': 52, 'trace_an': -6}
-
id: 32451011
{'hecke_orbit_code': 13510798915666270, 'n': 53, 'trace_an': 4}
-
id: 32451012
{'hecke_orbit_code': 13510798915666270, 'n': 54, 'trace_an': -9}
-
id: 32451013
{'hecke_orbit_code': 13510798915666270, 'n': 55, 'trace_an': 0}
-
id: 32451014
{'hecke_orbit_code': 13510798915666270, 'n': 56, 'trace_an': -1}
-
id: 32451015
{'hecke_orbit_code': 13510798915666270, 'n': 57, 'trace_an': 9}
-
id: 32451016
{'hecke_orbit_code': 13510798915666270, 'n': 58, 'trace_an': -6}
-
id: 32451017
{'hecke_orbit_code': 13510798915666270, 'n': 59, 'trace_an': 4}
-
id: 32451018
{'hecke_orbit_code': 13510798915666270, 'n': 60, 'trace_an': 0}
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{'hecke_orbit_code': 13510798915666270, 'n': 997, 'trace_an': -58}