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mf_newforms • Show schema
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{'Nk2': 524, 'analytic_conductor': 1.0460402664787731, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[131, -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': [131, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 10, 'field_disc': 2233064139387520, 'field_disc_factorization': [[2, 7], [5, 1], [46141, 1], [75619573, 1]], 'field_poly': [-32, -16, 232, -28, -270, 18, 111, -2, -18, 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': [[2, [-32, 16, 232, 28, -270, -18, 111, 2, -18, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925059, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '131.2.a.b', 'level': 131, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [131], 'level_radical': 131, 'minimal_twist': '131.2.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{6}q^{3}+(1-\\beta _{2}+\\beta _{3}-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '131.2.a', 'trace_display': [0, 1, 4, 1], 'trace_hash': 1563950134647401936, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.110', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.813', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.925', 'prec': 17}, {'__RealLiteral__': 0, 'data': '220.488', 'prec': 24}, {'__RealLiteral__': 0, 'data': '523.747', 'prec': 24}, {'__RealLiteral__': 0, 'data': '8697.460', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [10, 0, 1, 16, 4, -4, 1, -6, 15, 0, 2, -8, 11, -6, -2, 28, -2, -24, 0, -14, 9, -4, -10, -36, 18, -28, -11, -24, 16, -52, 6, -42, -27, -4, -19, 16, 34, -8, 4, 10, -13, 2, 9, 18, 21, 32, -6, 14, 23, 8, -18, 4, 30, 12, -20, -6, -4, 0, -5, 44, 51, 4, -17, 52, -14, 32, -10, 32, 18, -30, 0, -44, -14, 52, -16, -20, -24, 78, 24, 14, 18, -20, -22, 46, 16, -20, -48, 60, 14, 6, -1, -48, 0, 16, -28, -48, 4, 80, -30, 42, -11, -4, -10, -80, -35, -30, -45, 38, 71, 44, -58, -74, 0, 32, -56, 104, -12, -28, -56, -154, -10, -48, -32, 32, -12, -20, -22, -70, -35, 26, 10, -148, 50, 60, -44, -36, -14, 92, 12, -36, 48, -52, 1, 146, -6, -36, -6, 40, -6, 12, -11, 56, -26, -16, -24, 26, 8, 28, -7, -38, -30, -12, 12, 4, 41, 20, 36, 70, -1, 96, -6, -60, -10, -12, -17, 30, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, -1, 1, -1, -1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 1, -1, -1, 0, -1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0], [-1, -1, 0, -1, 1, 0, 0, 1, 0, -1], [1, 0, 1, -1, -1, 0, -1, 0, 1, 0], [2, -1, 0, 1, 0, -1, -1, -1, -2, -1], [0, 0, -1, 0, 0, -1, 0, 0, -1, 0], [-2, 3, 1, 0, 1, 2, 1, 1, 3, 1], [2, 1, 0, 0, 1, 1, 0, -1, 0, -1], [-1, 1, 0, 0, -1, 1, -1, 0, 0, 2], [0, 1, -1, 1, 0, -1, 1, -1, -1, 1], [1, 0, -1, 1, -3, -3, 0, 0, 0, 3], [1, 0, 0, 1, 1, 0, 0, -1, 0, -1], [-1, -2, 0, 0, 1, -1, 1, 0, -2, -2], [-1, 2, 0, -1, 1, 2, 0, 1, 2, -1], [-1, -1, 2, 1, 0, -1, 1, 1, 1, 0], [0, -1, -1, 0, -2, -2, 0, 1, -1, 0], [-3, 0, 0, 0, -1, -1, 1, 2, 2, 2], [-1, -2, 0, -1, -1, 0, 0, -1, 0, -1], [-1, 0, -2, 0, 1, 1, -1, -2, -4, -2], [1, 0, -1, 0, 0, -1, 0, 0, -1, 2], [-2, 0, 2, -1, 2, 3, 1, -1, 2, -1], [-1, -2, -1, 2, -3, -2, 1, 0, -2, 2], [-3, 3, 0, -1, 2, 3, 1, 1, 1, 0], [0, 0, 0, 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[0, 1, 0, 2, 1, -1, 0, 1, -2, 1], [2, 0, 3, -1, -1, 2, -3, 0, 1, 0], [-3, 0, -2, 1, -1, -2, 2, 1, 0, 3], [4, 0, -1, 1, -1, -1, 0, 0, -2, -1], [-2, 0, 1, -3, -1, 0, -1, 0, 1, 0], [6, 0, -1, 1, -1, -2, 1, 0, -3, 0], [0, -2, 0, 0, 0, 0, 0, 0, -2, 0], [2, 0, 0, 0, 2, -2, 0, -2, -2, -2], [0, 0, 2, -4, 2, 2, 0, -2, 0, -4], [2, 0, 0, 0, 0, 2, -2, -2, 2, 2], [-4, 0, -2, 2, -2, -2, 0, 2, 0, 2], [2, 0, 1, 1, 1, -1, 0, -2, 0, 3], [1, 2, 0, 1, 1, 2, 0, -3, 2, 1], [0, 3, -2, 4, -2, 1, 0, 1, -2, 2], [1, -4, 0, 1, -3, -2, 0, -3, -2, -1], [-6, -1, 0, -2, 0, 1, 0, 1, 2, -2], [6, -2, 0, -2, 0, -2, 3, 0, 0, -2], [-2, 4, 1, -2, 0, 3, 0, 2, 3, 0], [1, 2, 2, 3, 3, 0, 0, 1, -2, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 2, -1, -3, -2, -2, 1, 2, 1], [3, -6, 2, 1, 1, 0, -2, -1, 0, 1], [-2, 2, 0, 0, 2, 0, 4, 2, 0, 2], [0, 3, 2, -2, 3, 3, -2, -1, 0, 1], [-1, -4, 2, -1, -1, -2, 2, -1, 2, 3], [0, 2, -2, 0, 0, 0, -4, 0, 0, 2], [2, 0, 0, 2, 0, -2, 0, 2, 2, 2], [2, 0, -2, 2, 4, 0, 2, -2, -2, -4], [10, -1, 0, 2, 4, 1, 0, -3, -6, -6], [9, 0, -2, 3, -1, 0, 0, -1, 2, 1], [2, 0, -4, 2, 0, -2, 3, -2, -2, -2], [3, 0, 3, 0, -1, 4, -4, 0, 4, 0], [-3, 2, 0, -1, 1, 2, -2, 3, 2, -3], [0, 4, -2, 0, 0, 0, 2, 0, 0, 4], [0, 0, -1, 0, -4, -1, 0, 0, -1, 4], [-4, 0, 0, 0, -4, -4, 0, 0, 2, 2], [-10, 4, -4, 0, -4, 0, 2, 4, 6, 4], [5, 2, 0, 1, 7, 2, 4, 3, 2, 1], [0, -4, 1, -3, -3, 4, -5, -2, 1, 2], [-5, 6, -5, -2, -1, 0, 2, 4, 0, -2], [-5, 4, -2, -1, 1, 2, 6, 5, 2, 1], [-1, -8, 2, -1, -7, -2, -2, -1, 2, 1], [1, -2, -2, 1, -3, -8, 6, 3, -4, 3], [-6, -7, 2, 0, 1, -1, 2, -1, -2, 1], [4, 2, -4, 0, -2, -6, 3, 2, -4, 0], [-6, 4, 0, -2, 8, 2, 3, 2, 2, -6], [6, 4, 1, -2, 4, -1, 0, 2, -5, -4], [-9, -2, -2, 1, -7, -4, -2, 1, -2, 5], [-2, 5, -2, 4, 5, -1, 6, -1, -2, -3], [-5, 2, 0, 1, -3, 0, -4, -3, 2, 1], [2, 4, -1, 1, -3, 1, -4, 4, 0, 3], [6, -9, -4, 2, -8, -7, 0, -3, -6, 6], [-6, -2, -4, 2, -6, -2, -2, -4, 0, 2], [2, -3, 0, 4, -5, -5, 4, -1, -2, 3], [14, 2, -4, 6, 2, 2, 4, -4, -6, -4], [2, 0, -1, 3, -5, -3, -4, -2, -4, 1], [3, 0, 2, 3, 3, 4, 0, -1, 2, 1], [-5, 2, -2, 3, -1, -2, 6, 5, -2, 3], [-4, 4, 3, 0, 8, 3, 0, -4, -1, -2], [6, 6, 0, -4, 6, 8, 0, 2, -2, -6], [-6, 0, -5, 1, -9, -5, 0, 0, -2, 7], [-2, -4, 0, -2, -6, -4, 2, 2, 4, 0], [5, 2, 3, 0, 1, -4, -2, -2, 0, 0], [-2, 0, 4, -2, -4, -2, 1, 6, 6, 2], [4, 0, 2, -4, 2, 4, -2, 2, 6, -2], [-8, 7, -2, 0, -4, 3, -4, 1, 4, 2], [5, -4, 4, -1, 3, 8, -2, -1, 2, -3], [1, 8, 1, 0, 1, 4, 0, 4, -4, 0], [-3, -2, 2, 5, 1, -2, -2, 3, -2, 1], [13, -4, -1, -6, -1, 2, -4, -2, -2, -6], [2, -8, -1, 2, -2, -5, 0, 2, -5, 6], [-3, 2, -8, 5, -1, -8, 4, 5, -6, 3], [6, -4, -1, 3, 1, 0, 1, 0, -1, -4], [-1, 0, 6, -9, 3, 6, -2, -3, 4, -5], [-8, 4, -2, 0, 6, -2, 6, 6, 0, -2], [-2, 1, 0, -4, 5, 1, 0, 3, 4, -5], [-4, -4, -4, 0, 2, 0, 2, -2, -2, -6], [-4, -2, -2, 0, 2, -2, 0, -8, -4, -2], [13, -2, 5, -6, 1, 4, -2, -4, 4, -2], [-6, -6, 2, -4, 0, -2, -4, -6, 0, -6], [5, 6, 9, -2, 9, 4, -6, 0, 0, 2], [8, -8, -2, 6, -4, -8, 8, 0, -4, 4], [-1, -4, -2, -1, -5, 2, -6, -1, 2, 1], [-7, 12, -4, 1, 1, 2, 6, 9, 2, 3], [0, -2, -2, 2, -4, -4, -6, -4, -4, 4], [-13, -2, -2, -3, 3, 2, -2, 3, 8, -5], [1, -2, 4, 1, 9, 0, 4, 1, -10, -3], [19, 4, 6, -1, 11, 2, 4, -1, -2, -9], [4, 6, 0, 6, 8, 0, 4, 4, -6, 4], [-6, -4, -1, 5, -5, 2, -3, 0, -3, 4], [8, -3, -2, -2, 1, 1, -2, 5, 0, -5], [6, 8, 3, 1, 3, 6, 1, -4, 1, -4], [-2, -6, -2, -2, -2, 0, 0, -4, 0, 2], [0, -6, 4, -4, -4, 0, 3, -6, 2, 0], [14, 7, -2, 4, 1, -1, -2, 1, 0, -1], [4, -10, 0, 2, -2, -4, -2, 2, -6, 4], [10, 0, 3, -1, -1, 2, -7, 8, 1, 0], [-4, 8, -7, 3, -3, -3, 4, 8, 2, 5], [2, -6, 10, -4, 12, 6, -2, -6, -2, -6], [-2, -8, 1, 2, 0, -5, 4, -2, 3, -4], [12, -6, 2, 6, 0, -2, 0, 2, -10, -6], [-4, 4, 4, -4, -2, 8, -6, -6, 8, -6], [16, -4, 4, -4, 0, -4, -1, -8, 0, 0], [-6, 1, -6, 6, -2, -3, 4, 9, 0, 4], [-16, 8, -4, 4, -4, -10, 0, 4, 2, 6], [-4, 4, -1, -8, -2, 5, 0, 4, -3, -8], [-2, 5, -2, -2, -10, 1, -8, 5, 4, 4], [-5, -2, 3, -2, -3, -2, -2, -8, 2, 2], [16, -8, 12, -4, 8, 4, -4, 0, 2, -4], [1, 0, 2, 1, 9, -2, -2, 1, -2, -9], [-1, -4, 0, -1, 3, -2, -4, -7, -6, 3], [2, 0, -3, 7, -1, -1, 4, -8, 0, 5], [-4, -1, 4, 0, 0, 3, 4, -9, 4, 0], [-10, 7, 0, -4, 7, 3, 8, 1, 8, 1], [14, 2, -2, 6, -4, -2, 0, 2, 0, 0], [0, 3, 2, -6, 1, 13, -6, -5, 10, -3], [-3, -8, -4, 5, 1, -4, 8, -3, 0, -1], [-8, 2, -2, -2, 0, 2, 2, 4, -4, -10], [-6, 4, 0, -2, 4, 2, 1, 6, -2, -2], [0, 4, 8, -4, 6, 12, -4, 0, 12, -6], [12, -4, -4, 6, -4, -2, -2, -4, -12, -2], [16, 4, 1, -1, 9, 9, -4, 0, 6, -7], [1, -8, 4, 5, -3, 0, -2, -3, 0, 3], [-6, -8, -9, 2, -16, -11, 4, 2, 1, 8], [-8, -6, -4, 0, -2, -4, -2, -2, -2, 0], [-2, -8, -3, 10, -2, -7, 4, 2, -7, 6], [0, 11, 2, -4, -2, 13, -4, 9, 10, -2], [-11, -4, 2, -3, -7, 4, 0, -3, 8, 5], [-6, 9, 8, -10, 12, 3, 4, 3, 6, -6], [-16, -8, -3, -5, -11, -3, 0, 0, -2, -3], [1, -6, 4, 1, -1, 4, -4, -7, 0, -5], [-10, 0, -11, 9, -9, -8, -5, 0, -7, 8], [20, -5, -2, 4, 4, 3, 12, 1, -4, -2], [6, 0, 1, 3, 3, -1, 4, -4, -8, -7], [-6, -4, 8, -6, -6, 4, -12, -2, 6, -2], [13, 2, -8, 7, 1, 2, 4, -3, 0, 3], [-9, 8, -2, -1, -5, 2, -8, 3, 2, 1], [-1, -2, 7, -6, 5, 6, -6, 0, 6, 6], [6, -2, 4, 6, 10, 0, 7, 0, -2, -2], [3, 0, 2, -5, -3, -2, -6, -3, -12, -1], [-13, -6, -6, 5, 1, 2, 8, 3, 2, -1], [28, 0, 3, 8, -4, -1, -4, -4, -5, -4], [-16, 4, 0, 4, 2, -2, 7, 4, 2, 4], [14, -8, 4, 2, 2, 0, 1, 6, -4, -6], [-5, -4, -4, 7, -1, -10, 8, 1, -4, 13], [2, -8, -1, -5, -3, -1, 8, 2, 6, -3], [-8, -4, -1, -1, -7, 2, -7, -2, -3, 2], [3, 8, -12, 15, -3, -4, 0, -1, -6, 9], [1, 4, 4, -7, 3, 8, 4, -1, 16, 3], [7, 4, -3, 6, -3, 2, -8, -2, -2, 6], [3, -8, -12, 1, -9, -18, 4, 1, -14, 5], [-5, -2, 2, -5, 13, 8, 8, -1, -4, -5], [-3, -8, 7, -6, -5, 2, -4, 2, 2, -6], [7, -4, -4, 7, 3, -6, 2, -11, -10, -5], [2, -4, 3, -1, 3, -2, -3, 0, -7, -4], [-10, 4, -5, 7, -5, -7, -4, 6, -4, 5]], 'char_orbit_index': 1, 'field_poly': [-32, -16, 232, -28, -270, 18, 111, -2, -18, 0, 1], 'hecke_orbit_code': 4503599660925059, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 4, 16, 16, 8, 16, 8, 8], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -1, 1, -1, -1, 0, 0, 0, 1], [1, 5, 0, 1, -1, 0, 0, -1, 0, 1], [15, 0, -7, 7, -9, -9, 0, 0, 0, 9], [11, 31, 0, 9, -9, 0, 0, -9, 2, 11], [91, 4, -45, 49, -67, -67, 0, 0, 2, 69], [91, 209, -4, 71, -75, -4, 4, -63, 28, 99], [603, 64, -287, 351, -477, -477, 8, 0, 32, 509], [699, 1463, -64, 549, -605, -72, 72, -405, 286, 835]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, -18, 14, 9, -9, -1, 1, 0, 0, 0], [-20, -18, 32, 9, -11, -1, 1, 0, 0, 0], [-16, 216, -28, -270, 18, 111, -2, -18, 0, 1], [-16, -72, 152, -54, -108, 59, 26, -14, -2, 1], [40, 0, -134, 0, 81, 0, -16, 0, 1, 0], [-32, -64, 224, -34, -144, 55, 30, -14, -2, 1], [-16, -16, -34, 126, 41, -81, -12, 16, 1, -1], [8, 72, 34, -162, -41, 85, 12, -16, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '131.2.a.b', 'level': 131, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[131, 1]], 1, 1], [[[131, -1]], 10, 1]], 'ALdims': [1, 10], 'Nk2': 524, 'analytic_conductor': 1.0460402664787731, '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': [131, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 11, 'dim': 11, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554563, 'hecke_orbit_dims': [1, 10], 'label': '131.2.a', 'level': 131, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [131], 'level_radical': 131, 'mf_dim': 12, 'mf_new_dim': 12, 'num_forms': 2, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 11, 'sturm_bound': 22, 'trace_bound': 1, 'trace_display': [0, 0, 2, 0], 'traces': [11, 0, 0, 14, 2, -4, 0, -6, 13, 0, 2, -6, 8, -6, 0, 32, 2, -24, -2, -10, 10, -4, -12, -36, 17, -28, -6, -22, 16, -52, 4, -42, -27, -4, -17, 20, 26, -8, 7, 10, -16, 2, 12, 18, 25, 32, 4, 10, 17, 8, -22, 10, 21, 12, -20, -6, -2, 0, -4, 40, 36, 4, -15, 44, -8, 32, -16, 24, 20, -30, 10, -44, -10, 52, -15, -16, -24, 78, 16, 6, 19, -20, -18, 44, 8, -20, -48, 60, 3, 6, 2, -44, 2, 16, -24, -48, 16, 80, -30, 44, 0, -4, -6, -80, -37, -30, -48, 28, 64, 44, -50, -78, 10, 32, -52, 104, -6, -28, -60, -154, -21, -48, -29, 36, 0, -20, -4, -70, -38, 26, 9, -148, 52, 60, -54, -36, 6, 92, 30, -40, 38, -52, 1, 138, -6, -36, 0, 56, -18, 12, -20, 56, -34, -16, -20, 20, 4, 28, 2, -38, -28, -12, 14, 10, 41, 20, 12, 70, -5, 96, -2, -66, -24, -12, -16, 30, -6, -26, 8, 90, 104, 16, 50, 36, 4, -40, -18, 60, 39, -128, 4, 50, 22, -56, 66, 28, -46, 46, 28, 34, 6, -70, -30, 28, 76, 4, 16, -66, -24, 90, -10, 86, -60, 62, 47, -142, -16, 16, 28, -168, 56, 108, 2, 42, -49, -72, -2, 176, 62, 20, 66, -68, 16, -68, -34, -78, -32, -124, -22, 156, -4, -56, -23, 118, 54, -114, 54, 72, -44, -72, -24, -150, -6, -40, 28, 60, 46, 40, -30, -164, 112, 0, -80, 190, -24, -24, 26, -72, 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40, -72, 80, 94, -300, 8, -16, -86, 98, -64, -44, -44, -170, 158, -104, 228, -56, 152, 232, -10, -188, 56, -84, -111, -42, 20, -32, 48, 148, -90, -24, 208, 328, 50, 16, -70, 294, 67, 16, -40, -276, -76, -102, -155, 204, 30, 76, -20, -380, -2, -68, 24, -388, 98, 36, -64, -20, -6, 84, -12, 252, 60, -88, 84, -108, 127, -184, -44, -264, -26, -212, -94, 158, 24, -20, -46, 410, 98, -226, 170, 42, -94, -108, -186, -332, 0, 112, -98, 330, 144, 64, -46, -254, 144, -4, -98, 0, 81, -132, 132, 98, 94, -174, -12, 68, 32, -148, -56, -142, 27, 224, 36, -248, -26, -48, 8, -346, -88, -280, -16, -120, -38, -104, -50, -224, -52, -192, -15, 132, -153, -140, -36, -192, 61, 70, -72, -264, 148, 8, -49, 118, 124, -96, 180, -116, -102, 88, -23, 282, -7, 96, -38, 106, -67, -84, -59, 60, 117, -180, 72, -220, -56, -6, 252, 262, 128, 188, -50, 184, 11, 244, 54, 30, -12, -16, 236, -156, -26, -212, -40, 104, -74, 104, -61, -140, 0, 148, -86, -172, -46, 248, -60, 64, -16, -28, 130, 156, 50, -78, -99, 116, -44, -192, 21, -78, -12, 16, 84, 6, -6, 10, 1, -88, -42, 194, -156, 156, -157, 150, 132, 124, 26, 92, 78, 64, 2, -92, 2, 160, -142, 152, 64, 334, 268, -56, 66, -308, 77, 52, -40, -150, 30, 8, -50, -118, -132, 100, -24, 8, 16, -216, -174, 90, 97, -82, 68, 120, 124, 236, 223, 20, 2, 56, -120, 46, -158, 32, -98, 220, -25, -136, -29, -72, 40, -36, 112, -236, 212, -128, -74, 174, -110, -128, -81, 206, -58, 172, -12, 162, 186, 124, -80, 46, 8, -64, 6, 0, -4, 356, -4, 48, 116, -208, -42, 28, -59, 148, -126, 26], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 113229
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '131.2.a.b', 'source_level': 131, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '131.2.a.b', 'target_level': 131, 'twist_class_label': '131.2.a.b', 'twist_class_level': 131, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 113230
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '131.2.a.b', 'source_level': 131, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1179.2.a.g', 'target_level': 1179, 'twist_class_label': '131.2.a.b', 'twist_class_level': 131, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 113231
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '131.2.a.b', 'source_level': 131, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2096.2.a.r', 'target_level': 2096, 'twist_class_label': '131.2.a.b', 'twist_class_level': 131, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 113232
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '131.2.a.b', 'source_level': 131, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3275.2.a.f', 'target_level': 3275, 'twist_class_label': '131.2.a.b', 'twist_class_level': 131, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 113233
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '131.2.a.b', 'source_level': 131, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '6419.2.a.d', 'target_level': 6419, 'twist_class_label': '131.2.a.b', 'twist_class_level': 131, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 113234
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '131.2.a.b', 'source_level': 131, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '8384.2.a.bt', 'target_level': 8384, 'twist_class_label': '131.2.a.b', 'twist_class_level': 131, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 113235
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '131.2.a.b', 'source_level': 131, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '8384.2.a.bu', 'target_level': 8384, 'twist_class_label': '131.2.a.b', 'twist_class_level': 131, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 364375
{'charpoly_factorization': [[[-32, 16, 232, 28, -270, -18, 111, 2, -18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 2}
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id: 364376
{'charpoly_factorization': [[[67, -390, 222, 533, -403, -184, 157, 24, -22, -1, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 3}
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id: 364377
{'charpoly_factorization': [[[8, -1856, -763, 2384, 138, -988, 155, 116, -26, -4, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 5}
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id: 364378
{'charpoly_factorization': [[[-1213, 738, 7566, 929, -3971, -376, 701, 36, -46, -1, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 7}
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id: 364379
{'charpoly_factorization': [[[-17852, -12860, 19601, 6058, -6248, -1032, 829, 76, -48, -2, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 11}
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id: 364380
{'charpoly_factorization': [[[-31, 4764, -6108, -2717, 5897, -1056, -1069, 386, -4, -11, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 13}
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id: 364381
{'charpoly_factorization': [[[2048, -9216, 5376, 12032, -11104, 176, 1656, -132, -82, 2, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 17}
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id: 364382
{'charpoly_factorization': [[[64000, 614400, 150656, -170752, -56832, 9248, 4152, -136, -110, 0, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 19}
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id: 364383
{'charpoly_factorization': [[[512, -10240, 18304, 71360, 52416, 11376, -1368, -772, -46, 10, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 23}
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id: 364384
{'charpoly_factorization': [[[40960, 921600, -788224, -105856, 193344, -32224, -5216, 1560, -28, -16, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 29}
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id: 364385
{'charpoly_factorization': [[[-2020864, 4174336, -2745856, 545472, 117184, -58816, 3776, 1140, -138, -6, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 31}
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id: 364386
{'charpoly_factorization': [[[55889408, -69950464, 33150976, -6420928, -107200, 258400, -38944, 732, 346, -34, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 37}
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id: 364387
{'charpoly_factorization': [[[-544027, -92192, 956032, -418677, -63507, 42952, 2451, -1474, -100, 13, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 41}
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id: 364388
{'charpoly_factorization': [[[-13498661, 9962386, 6257138, -2158907, -1200559, -43240, 28413, 1512, -270, -9, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 43}
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id: 364389
{'charpoly_factorization': [[[25248256, 4899584, -7409920, -2784384, 39840, 131328, 10960, -1764, -218, 6, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 47}
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id: 364390
{'charpoly_factorization': [[[-57328, -300576, -420568, -48288, 90377, 10242, -7753, -36, 263, -30, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 53}
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id: 364391
{'charpoly_factorization': [[[-272185, 2689190, -406374, -1328161, -226347, 62456, 12461, -968, -202, 5, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 59}
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id: 364392
{'charpoly_factorization': [[[-32394611, -11246072, 12807464, -134629, -1330639, 250360, 11247, -8138, 984, -51, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 61}
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id: 364393
{'charpoly_factorization': [[[217088, 643072, 62976, -234752, -35136, 25312, 3680, -928, -112, 10, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 67}
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id: 364394
{'charpoly_factorization': [[[43725824, -56783872, 13857024, 3824384, -1337408, -69184, 34224, 384, -324, 0, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 71}
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id: 364395
{'charpoly_factorization': [[[-45719552, -151855104, 151739392, -13659648, -4729728, 453504, 60080, -4408, -380, 14, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 73}
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id: 364396
{'charpoly_factorization': [[[-467968000, 468480000, -141518848, 4148736, 4428032, -531776, -28016, 6952, -128, -24, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 79}
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id: 364397
{'charpoly_factorization': [[[5208064, -1224704, -3799808, -380672, 442432, 68384, -13248, -2808, -4, 22, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 83}
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id: 364398
{'charpoly_factorization': [[[-2616560, -5165760, -1486936, 1705112, 383169, -272542, 17431, 4212, -305, -14, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 89}
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id: 364399
{'charpoly_factorization': [[[1846784, 910592, -12157824, 11060160, -2406528, -306768, 71320, 2096, -506, -4, 1], 1]], 'hecke_orbit_code': 4503599660925059, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '131.2.a.b', 'level': 131, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62217000
{'hecke_orbit_code': 4503599660925059, 'n': 1, 'trace_an': 10}
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id: 62217001
{'hecke_orbit_code': 4503599660925059, 'n': 2, 'trace_an': 0}
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