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mf_newforms • Show schema
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{'Nk2': 140, 'analytic_conductor': 0.27947640707448135, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [35, 3, [22, 31], [3, 2]], 'cm_discs': [], 'conrey_index': 11, 'conrey_indexes': [11, 16], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461411, 'hecke_ring_generator_nbound': 4, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '35.2.e.a', 'level': 35, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 7], 'level_radical': 35, 'minimal_twist': '35.2.e.a', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{1}-\\beta _{2})q^{2}+(\\beta _{1}+\\beta _{2}+\\beta _{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '35.2.e', 'trace_display': [-2, -2, -2, 2], 'trace_hash': 1588860981665147542, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.900', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.592', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.687', 'prec': 20}, {'__RealLiteral__': 0, 'data': '34.651', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1579.103', 'prec': 27}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-1, 1, -1, 0], [0, 1, 1, 1], [0, -2, 1, -2], [-1, 0, -1, 0], [-1, 0, 0, 0], [0, -1, -1, 1], [3, 0, 0, 1], [0, -2, 0, 0], [0, -1, 1, -1], [0, 2, 2, 2], [3, 1, 3, 0], [-2, 0, 0, -2], [-3, 2, -4, 0], [1, 0, 0, -1], [-3, 0, -3, 0], [0, -2, 2, -2], [0, 2, -4, 2], [0, 2, 0, 0], [1, 0, 0, 2], [3, 0, -1, -2], [-2, 0, 0, 0], [1, 1, 1, 0], [0, 2, 1, 2], [0, 0, 1, 0], [6, -4, 6, 0], [1, 0, 0, 1], [-3, -3, 5, -2], [-1, 0, 0, 0], [1, 0, 1, 0], [0, 0, -6, 0], [0, -1, -3, -1], [-6, -4, -6, 0], [6, 0, 0, 4], [-1, 2, 0, 1], [-8, 0, 0, -2], [0, 0, 0, 0], [0, -2, 4, -2], [0, 0, 2, 0], [-3, 1, -3, 0], [-5, 0, 0, -2], [0, 1, 1, -1], [5, 0, 0, -1], [6, 2, 6, 0], [0, 2, 0, 2], [0, 0, 1, 0], [-2, 0, -2, 0], [3, 0, 0, -3], [5, 2, 5, 4], [1, 0, 0, 1], [2, 0, 2, 0], [0, 6, -10, 6], [0, -2, -4, -2], [-3, 2, -3, 0], [2, 0, 0, -2], [4, -2, -1, 4], [-4, 0, 0, 2], [1, -1, 1, 0], [0, -6, -4, -6], [0, -1, -3, -1], [3, 6, 3, 0], [-6, 0, 0, -6], [4, 0, 8, 2], [-7, 0, 0, -2], [2, -2, 2, 0], [0, -2, -2, -2], [0, 1, 11, 1], [-10, 6, -10, 0], [-3, 0, 0, 2], [-1, -2, 3, -2], [-4, 0, 0, 6], [4, -6, 4, 0], [0, 2, 2, 2], [0, 0, 0, 0], [-1, -1, -1, 0], [8, 0, 0, 2], [6, 0, -2, -4], [2, 0, 0, 2], [-12, 2, -12, 0], [0, 0, 3, 0], [0, -6, -1, -6], [9, -7, 9, 0], [1, 0, 0, 9], [1, -6, -4, -4], [2, 0, 0, 2], [-3, 4, -3, 0], [0, -1, -1, -1], [0, 4, 2, 4], [3, -4, 3, 0], [-4, 0, 0, -2], [-8, 0, -2, -4], [3, 0, 0, -1], [6, 6, 6, 0], [0, -2, 2, -2], [0, -2, 0, -2], [5, 4, 5, 0], [6, 0, 0, 4], [-8, 7, -9, 3], [8, 0, 0, -4], [-1, 2, -1, 0]], 'ap': [[-1, 1, -1, 0], [0, 1, 1, 1], [-1, 0, -1, 0], [0, -1, -1, 1], [0, 2, 2, 2], [-2, 0, 0, -2], [0, -2, 2, -2], [0, 2, 0, 0], [1, 1, 1, 0], [-1, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [-5, 0, 0, -2], [5, 0, 0, -1], [-2, 0, -2, 0], [0, -2, -4, -2], [0, -6, -4, -6], [3, 6, 3, 0], [0, 1, 11, 1], [-4, 0, 0, 6], [0, 2, 2, 2], [-12, 2, -12, 0], [1, 0, 0, 9], [3, -4, 3, 0], [6, 0, 0, 4], [0, 8, 1, 8], [1, -1, 1, 0], [-7, 3, -7, 0], [0, 6, -5, 6], [4, 0, 0, -6], [2, 0, 0, -8], [8, -8, 8, 0], [0, 4, -4, 4], [-2, 0, 0, -10], [5, 2, 5, 0], [0, -4, 6, -4], [0, -8, 6, -8], [-18, -4, -18, 0], [21, 0, 0, 1], [8, 8, 8, 0], [0, 0, -10, 0], [-3, 0, 0, 4], [10, -2, 10, 0], [0, 0, -2, 0], [-18, 0, 0, 4], [0, 4, -4, 4], [12, 0, 0, 6], [6, 0, 0, -4], [0, 12, 10, 12], [6, -4, 6, 0], [14, -2, 14, 0], [-10, 0, 0, -8], [0, -4, 22, -4], [2, 0, 0, -8], [-12, -4, -12, 0], [0, 17, -5, 17], [0, -18, -5, -18], [-8, 6, -8, 0], [0, -10, 2, -10], [-2, 0, 0, -20], [0, 0, 14, 0], [-16, 0, 0, 0], [-9, 0, 0, 3], [0, -2, -16, -2], [12, 4, 12, 0], [-6, -14, -6, 0], [-6, 12, -6, 0], [12, 0, 0, -2], [0, 5, 15, 5], [-21, 0, 0, 4], [0, 2, -24, 2], [10, 0, 10, 0], [0, -3, -7, -3], [4, -12, 4, 0], [24, 0, 0, 2], [-7, -7, -7, 0], [0, -4, 18, -4], [-6, -16, -6, 0], [-19, 8, -19, 0], [0, 14, 5, 14], [-12, 0, 0, 8], [5, 0, 0, 6], [0, -14, -2, -14], [-12, 0, 0, 14], [0, -24, 0, 0], [-9, 15, -9, 0], [1, 0, 0, 2], [4, 20, 4, 0], [30, 0, 0, 8], [-13, 0, 0, -17], [13, 7, 13, 0], [0, 4, -30, 4], [0, 4, 10, 4], [-2, 0, 0, 8], [-2, -2, -2, 0], [11, 0, 0, -19], [-19, -4, -19, 0], [0, -12, -2, -12], [-30, 4, -30, 0], [-13, -4, -13, 0], [15, 0, 0, 7], [0, -20, -6, -20], [0, -9, 29, -9], [-2, 4, -2, 0], [0, 2, 12, 2], [0, 24, -10, 24], [-6, 0, 0, -20], [-24, -14, -24, 0], [0, 4, 12, 4], [14, 0, 0, 4], [-17, 15, -17, 0], [0, -18, 10, -18], [0, 0, 0, 8], [0, 6, 34, 6], [-6, 0, 0, -10], [0, -6, 23, -6], [-2, 0, 0, 20], [0, 17, -7, 17], [22, 2, 22, 0], [24, 0, 0, -2], [0, -2, 29, -2], [24, 0, 0, 4], [14, -10, 14, 0], [0, -3, -39, -3], [2, 2, 2, 0], [-23, 0, 0, 14], [-27, -8, -27, 0], [10, 22, 10, 0], [-39, 0, 0, 1], [22, 0, 22, 0], [0, 22, 10, 22], [-9, 0, 0, -5], [36, 4, 36, 0], [-6, 0, 0, -18], [2, 8, 2, 0], [22, 0, 0, -16], [0, 22, -6, 22], [0, -11, -13, -11], [-8, 0, 0, 0], [0, -16, 13, -16], [2, 0, 0, -16], [-14, 24, -14, 0], [0, -5, -5, -5], [-5, 0, 0, -15], [0, -8, 18, -8], [18, 0, 0, -2], [28, 0, 0, -18], [0, -20, 6, -20], [-24, -16, -24, 0], [1, 11, 1, 0], [-28, -2, -28, 0], [-1, 0, 0, 2], [-10, 0, 0, 20], [-37, -5, -37, 0], [0, 15, 7, 15], [-30, 0, 0, 14], [12, -22, 12, 0], [3, 6, 3, 0], [12, 0, 0, 16], [0, 20, -18, 20], [5, 27, 5, 0], [-8, 0, 0, -4], [5, 0, 0, 23], [24, 0, 24, 0], [0, 8, 10, 8], [0, -15, 7, -15], [0, -4, -10, -4], [0, -18, 8, -18]], 'char_orbit_index': 5, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 274911461411, 'hecke_ring_character_values': [[22, [1, 0, 0, 0]], [31, [-1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '35.2.e.a', 'level': 35, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 140, 'analytic_conductor': 0.27947640707448135, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [35, 3, [22, 31], [3, 2]], 'conrey_index': 11, 'cusp_dim': 4, 'dim': 4, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 274911461411, 'hecke_orbit_dims': [4], 'label': '35.2.e', 'level': 35, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 7], 'level_radical': 35, 'mf_dim': 12, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 2, 'sturm_bound': 8, 'trace_bound': 0, 'trace_display': [-2, -2, -2, 2], 'traces': [4, -2, -2, -2, -2, -4, 2, 12, 0, -2, -4, 6, -8, -4, 4, -6, -4, 8, 0, 4, 14, -8, 2, -2, -2, 12, 4, -22, -4, 2, 12, 6, -12, 24, -4, -32, 0, -8, -4, -6, -20, -2, 20, 12, 0, -2, -4, 12, 10, 4, 4, 20, 8, -6, 8, 18, -16, 2, 8, 6, 6, -24, 0, -28, 4, 4, -22, -20, -12, -10, -16, 8, -4, 0, -2, 32, 28, 8, -24, -6, 2, 18, 4, 12, 8, -6, 2, -4, 6, -16, -28, 12, 12, -4, 0, 10, 24, -14, 32, -2, -2, 4, 2, -40, -10, 0, -14, -10, 10, 4, 0, -12, 16, 0, 2, 2, -16, 32, -20, 4, -2, -18, 2, 12, 4, 16, 8, 10, -14, 12, 16, -40, 0, 36, -2, -20, 8, -2, -8, 26, 8, -16, -8, 0, 2, -8, -20, 0, 10, 2, -12, -8, -32, -4, -24, -4, -12, -32, 16, -12, 4, 44, -36, 26, -12, -38, 84, 26, -4, -12, 16, -2, 16, 4, 2, 24, 32, 22, 20, 16, -12, 24, -60, 2, 0, -12, 8, 8, 14, 16, 20, 6, 4, -28, 8, -20, -72, 0, 8, -6, -26, -60, -2, -8, 10, 6, 8, 12, -32, 4, 48, -8, 32, -26, -10, 20, -12, -68, -12, 12, 24, 0, 24, -18, 0, 16, -20, -8, 12, 4, -24, -12, 28, -32, -4, -40, 32, 60, -40, -6, -44, 30, 32, 84, 10, 20, 16, 36, 34, -2, 8, -40, -24, 28, 4, 26, -24, -20, 0, -40, 0, 48, 10, -20, -16, -16, 20, -14, 10, -6, -16, 24, 4, -48, -4, -10, -4, 44, 0, -12, -8, 4, -28, -40, 8, 16, -34, -16, 10, 2, 4, 12, -64, -10, -16, 0, 4, 2, 4, -12, -2, 56, -34, 0, 6, 32, -36, 24, 4, 12, 32, -12, 24, 88, 24, 80, -12, -8, 4, 14, 4, 2, 32, -46, 4, -20, -14, -76, -8, -8, -12, -74, 0, -46, 44, -30, 48, -30, -32, -20, 24, -32, 68, 52, 6, -16, -30, -6, -84, 14, -24, 20, 48, -8, 8, -76, 8, -40, 20, 8, 22, -10, 68, 52, 8, -6, 14, 6, -16, 0, -32, 72, 8, 8, -2, -12, 8, -12, 96, -16, -36, 28, -14, 68, -20, -8, -8, -44, -36, -4, 8, 54, 32, 20, -24, 16, -12, -48, 16, 12, -38, 22, -24, 62, -4, 4, 0, 12, -10, 18, -8, -20, -80, 0, -2, -4, -36, 0, -48, -18, 20, -48, 0, 16, -4, 16, 12, 76, -8, -6, 4, -6, -48, -84, -4, 58, -8, 4, 0, 8, 48, -112, -18, 0, 6, 4, -36, -38, 4, 8, 4, 40, 4, -56, 8, -32, 8, 28, -12, -6, 120, -28, -52, 6, 12, 36, 26, 96, 34, 8, 20, 0, -28, 24, 0, -40, -32, 52, 60, 10, 0, 120, 18, -124, -12, 16, -20, -6, 104, -20, -8, -22, 4, 32, -16, -72, 64, -4, -4, -2, -38, 28, 44, 16, 4, -4, 34, 60, -38, -8, 28, -108, -8, -8, 2, 34, 16, 0, -96, 20, 4, -8, -60, -160, -4, -156, 24, -36, 40, 0, -96, 40, 72, -6, -14, -62, 20, 124, -40, 20, -26, -40, 22, 4, -20, 28, 60, 40, 48, 4, 0, -20, -48, 88, 0, 84, 12, -48, -24, 6, -16, 84, -58, 12, -8, 56, -74, 0, -4, 0, -24, -8, -24, 36, -4, -16, 20, -22, 4, -4, 110, -24, 32, -4, -16, 32, -24, -54, 0, -16, 52, 0, -48, -8, 28, 12, -8, 4, -24, -2, 56, -12, 16, -44, -2, 2, -34, 16, -14, 36, 8, 48, -20, 6, -4, 52, 0, -2, -68, 12, -2, -48, 12, 24, -2, 8, 32, -76, 0, -32, -24, -80, 0, 44, -4, 64, -68, 8, 48, 10, -46, 14, -8, -6, 28, -32, 14, -18, 64, -24, 24, 8, 44, -10, 16, 30, 32, -20, 96, 20, -58, -60, -8, 84, -24, 0, -2, -50, -28, -18, -120, 20, 96, -16, -2, -62, 28, -16, 60, 40, -68, -24, 78, 16, -16, 2, 8, -30, 0, -2, 4, 96, -32, 20, 4, 2, 36, 26, -40, -4, -92, 28, 0, 12, -4, -112, 98, 96, -54, -16, 16, 34, 24, 20, 16, 20, -12, 20, 20, 0, 4, -44, -28, -26, 2, 2, -156, -116, -84, 4, -12, -42, 44, -4, -14, 20, -52, -56, -20, 0, 0, -24, -36, 12, 10, 56, 72, -16, -28, -4, 72, -12, -36, -12, 24, -26, -24, -56, 28, -8, 4, -8, 62, -72, 16, 14, 32, -22, 88, 8, 80, 4, 12, 32, 12, 104, 0, 104, 16, -4, 64, -4, -4, 30, 24, -16, 26, 4, -58, 64, -64, 64, 36, 52, 16, 40, -32, 0, 16, 6, -32, -70, -24, -140, -14, 144, 82, 26, -26, -22, 8, 22, -16, 0, -36, 12, 8, -92, -32, -52, -28, -8, 10, 10, 24, 40, -20, -8, -36, -38, 36, 88, -40, 8, -42, -16, 12, -8, 72, -22, -112, -34, -76, -72, 2, -32, -4, -48, -28, -12, 0, -48, 112, -18, -32, -54, -12, 8, -48, 4, -38, 104, 2, 2, 16, -32, -84, 24, 64, -2, 36, 54, 32, 0, 2, -40, -56, 96, 32, -12, -4, 80, -40, 88, 32, -78, -74, 0, -92, -44, 52, 20, 0, -10, -40, 20, -8, -10, -12, 16, 0, 40, 86, 0, 6, 12, -14, 76, 128, 36, -120, 24, 68, -72, 30, -88, 32, 56, 24, 2, 30, -92, -64, 76, 0, 94, -8, -6, 6, 24, -48, -88, 40, -2, 8, -64, 48, 138, -80, -4, 36, 12, -2, -48, -4, -40, 10, 64, -8, -8, 136, -76, -32, -16, 20, 84, 12, -152, 40, -12, -10, 0, 24, -76, -8, -4, 20, 26, 0, -28, 48, 0, -124, 8, -4, 18, -20, 36, 40, 58, 96, -28, -14, -6, 36, -24, -20, -96, 14, 0, 20, -36, -72, -32, -16, -30, -16, 4, 0, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 27634
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.e.a', 'target_level': 35, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 27635
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.e.a', 'target_level': 35, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 27636
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '175.2.e.c', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 27637
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '175.2.e.c', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 27638
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.k.a', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 27639
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.k.a', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 27640
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '245.2.a.g', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 27641
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '245.2.a.h', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 27642
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.2.e.e', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 27643
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.2.e.e', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 27644
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '315.2.j.e', 'target_level': 315, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 27645
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '315.2.j.e', 'target_level': 315, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 27646
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '560.2.q.k', 'target_level': 560, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 27647
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '560.2.q.k', 'target_level': 560, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 27648
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1225.2.a.k', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 27649
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1225.2.a.m', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 27650
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1225.2.b.g', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 27651
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1225.2.b.h', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 27652
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2205.2.a.n', 'target_level': 2205, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 27653
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2205.2.a.q', 'target_level': 2205, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 27654
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '3920.2.a.bq', 'target_level': 3920, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 27655
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '35.2.e.a', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '3920.2.a.bv', 'target_level': 3920, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 125175
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 2}
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id: 125176
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 3}
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id: 125177
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 5}
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id: 125178
{'charpoly_factorization': [[[49, -14, -3, -2, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 7}
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id: 125179
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 11}
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id: 125180
{'charpoly_factorization': [[[-4, 4, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 13}
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id: 125181
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 17}
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id: 125182
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 19}
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id: 125183
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 23}
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id: 125184
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 274911461411, 'p': 29}
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id: 125185
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 31}
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id: 125186
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 274911461411, 'p': 37}
-
id: 125187
{'charpoly_factorization': [[[17, 10, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 41}
-
id: 125188
{'charpoly_factorization': [[[23, -10, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 43}
-
id: 125189
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 47}
-
id: 125190
{'charpoly_factorization': [[[64, -64, 56, -8, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 53}
-
id: 125191
{'charpoly_factorization': [[[3136, 448, 120, -8, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 59}
-
id: 125192
{'charpoly_factorization': [[[3969, 378, 99, -6, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 61}
-
id: 125193
{'charpoly_factorization': [[[14161, 2618, 365, 22, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 67}
-
id: 125194
{'charpoly_factorization': [[[-56, 8, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 71}
-
id: 125195
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 73}
-
id: 125196
{'charpoly_factorization': [[[18496, 3264, 440, 24, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 79}
-
id: 125197
{'charpoly_factorization': [[[-161, -2, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 83}
-
id: 125198
{'charpoly_factorization': [[[529, 138, 59, -6, 1], 1]], 'hecke_orbit_code': 274911461411, 'p': 89}
-
id: 125199
{'charpoly_factorization': [[[4, -12, 1], 2]], 'hecke_orbit_code': 274911461411, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '35.2.e.a', 'level': 35, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 28798000
{'hecke_orbit_code': 274911461411, 'n': 1, 'trace_an': 4}
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id: 28798001
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