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mf_newforms • Show schema
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{'Nk2': 2100, 'analytic_conductor': 4.19214610611722, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [525, 2, [176, 127, 451], [1, 1, 1]], 'cm_discs': [-3], 'conrey_index': 524, 'conrey_indexes': [524], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [41, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 412350415373, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 25, 'hecke_ring_index_factorization': [[5, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 35, 3, -1, 2, 0], [1, 1, 105, 7, 1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '525.2.g.a', 'level': 525, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '525.2.b.c', 'nf_label': '4.0.144.1', 'prim_orbit_index': 7, 'qexp_display': 'q-\\zeta_{12}q^{3}-2q^{4}+(\\zeta_{12}-\\zeta_{12}^{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '525.2.g', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1127488589642420137, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.414', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.942', 'prec': 17}, {'__RealLiteral__': 0, 'data': '157.296', 'prec': 24}, {'__RealLiteral__': 0, 'data': '52.059', 'prec': 20}, {'__RealLiteral__': 0, 'data': '8109.809', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.889', 'prec': 17}, 'traces': [4, 0, 0, -8, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 36, 0, 0, 12, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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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], [-2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, -1, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 2], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, -2, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, -2, 4, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -4, 0, 0], [-6, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, -6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, -2], [0, 0, 0, 0], [0, 3, -3, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -4], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 3], [0, 0, 0, 0], [0, 3, -6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -11, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 1, -1, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [1, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 2], [0, -2, 4, 0], [0, 0, 0, 0], [0, -1, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, -2], [0, -1, 2, 0], [0, 0, 0, 0], [0, 8, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -11, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [-19, 0, 0, 0], [0, 0, 0, 0], [0, -4, 8, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 4], [0, 0, 0, 0], [-23, 0, 0, 0], [0, -1, 0, 0], [0, -5, 10, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 0, 0, -6], [0, 0, 0, 0], [0, 5, -10, 0], [0, 0, 0, 0], [-3, 0, 0, -6], [13, 0, 0, 0], [0, -17, 0, 0], [0, 0, 0, 0], [1, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 4], [0, -1, 2, 0], [0, 0, 0, 0], [0, -13, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [-32, 0, 0, 0], [0, 1, -2, 0], [0, 0, 0, 0], [-4, 0, 0, -8], [0, 0, 0, 0], [0, 0, 0, 0], [0, 9, 0, 0], [0, -5, 10, 0], [29, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 11, 0, 0], [0, 0, 0, 0], [-3, 0, 0, -6], [0, 0, 0, 0], [-22, 0, 0, 0], [0, 0, 0, 0], [0, 13, 0, 0], [1, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 4, 0], [0, 0, 0, 0], [0, 4, -8, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -5, 10, 0], [0, 0, 0, 0], [11, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 17, 0, 0], [17, 0, 0, 0], [0, 8, -16, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [47, 0, 0, 0], [0, -19, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, 0, 0, 10], [0, 26, 0, 0], [0, -2, 4, 0], [0, 0, 0, 0], [-1, 0, 0, -2], [-43, 0, 0, 0], [0, 0, 0, 0], [0, 18, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, -8], [0, -10, 20, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 12], [0, 0, 0, 0], [-31, 0, 0, 0], [0, 0, 0, 0], [0, 31, 0, 0], [0, -12, 0, 0], [16, 0, 0, 0], [0, 0, 0, 0], [52, 0, 0, 0], [0, -11, 22, 0], [0, 0, 0, 0], [3, 0, 0, 6], [0, 0, 0, 0], [0, -29, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, 0, 0, 10], [0, 0, 0, 0], [0, 1, -2, 0], [0, 0, 0, 0], [4, 0, 0, 8], [0, 0, 0, 0], [0, 27, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -4], [0, 0, 0, 0], [0, 5, -10, 0], [0, 0, 0, 0], [0, 11, -22, 0], [0, 0, 0, 0], [0, -8, 16, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 29, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -4, 8, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-17, 0, 0, 0], [0, -36, 0, 0]], 'char_orbit_index': 7, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 412350415373, 'hecke_ring_character_values': [[176, [-1, 0, 0, 0]], [127, [-1, 0, 0, 0]], [451, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 5, 5, 5], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 2, 1, 0], [3, 0, 0, 1], [0, -1, 2, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, -1], [0, 1, 0, 2], [-3, 0, 5, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '525.2.g.a', 'level': 525, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2100, 'analytic_conductor': 4.19214610611722, 'char_conductor': 105, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [525, 2, [176, 127, 451], [1, 1, 1]], 'conrey_index': 524, 'cusp_dim': 68, 'dim': 44, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 41], 'hecke_orbit_code': 412350415373, 'hecke_orbit_dims': [4, 4, 4, 8, 8, 16], 'label': '525.2.g', 'level': 525, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 92, 'mf_new_dim': 52, 'num_forms': 6, 'prim_orbit_index': 7, 'relative_dim': 44, 'sturm_bound': 160, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, 48, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -48, 0, 0, 0, 0, 0, 0, -88, 0, 0, 34, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 112, 0, 0, -36, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -64, 0, 0, -4, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, -128, 0, 0, 0, 0, 0, 0, -68, 0, 0, -104, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 312, 0, 0, -18, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 28, 0, 0, 208, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, -72, 0, 0, 0, 0, 0, 0, -504, 0, 0, 164, 0, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 168, 0, 0, 288, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 24, 0, 0, 88, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, -252, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 456, 0, 0, -102, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, -272, 0, 0, -112, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 240, 0, 0, 0, 0, 0, 0, -184, 0, 0, -190, 0, -300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -316, 0, -84, 0, 0, 200, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, -328, 0, 0, -84, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, -288, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 720, 0, 384, 0, 0, -252, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, -404, 0, 0, -56, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, -216, 0, 0, 0, 0, 0, 0, 312, 0, 0, -90, 0, -444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 616, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -484, 0, 68, 0, 0, 408, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 312, 0, 0, 200, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, -328, 0, 0, 0, 0, 0, 0, -208, 0, 0, -64, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, 24, 0, 0, 126, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 516, 0, 0, 744, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 444, 0, 0, 0, 0, 0, 0, -544, 0, 0, 440, 0, 380, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 360, 0, 0, -144, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -1024, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 264, 0, 0, 0, 0, 0, 0, 124, 0, 0, -392, 0, -432, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 366622
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '525.2.b.c', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 366623
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '525.2.b.c', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 366624
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '525.2.b.c', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 366625
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '525.2.b.c', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 366626
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '525.2.b.d', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 366627
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '525.2.b.d', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 366628
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '525.2.b.d', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 366629
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '525.2.b.d', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 366630
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 366631
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 366632
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 366633
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 366634
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 366635
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 366636
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 366637
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '525.2.g.a', 'source_level': 525, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.g.a', 'target_level': 525, 'twist_class_label': '525.2.b.c', 'twist_class_level': 525, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1002850
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 2}
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id: 1002851
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 3}
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id: 1002852
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 5}
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id: 1002853
{'charpoly_factorization': [[[49, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 412350415373, 'p': 7}
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id: 1002854
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 11}
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id: 1002855
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 13}
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id: 1002856
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 17}
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id: 1002857
{'charpoly_factorization': [[[75, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 19}
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id: 1002858
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 23}
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id: 1002859
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 29}
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id: 1002860
{'charpoly_factorization': [[[75, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 31}
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id: 1002861
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 37}
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id: 1002862
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 41}
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id: 1002863
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 43}
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id: 1002864
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 47}
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id: 1002865
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 53}
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id: 1002866
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 59}
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id: 1002867
{'charpoly_factorization': [[[75, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 61}
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id: 1002868
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 67}
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id: 1002869
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 71}
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id: 1002870
{'charpoly_factorization': [[[-192, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 73}
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id: 1002871
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 79}
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id: 1002872
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 83}
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id: 1002873
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350415373, 'p': 89}
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id: 1002874
{'charpoly_factorization': [[[-363, 0, 1], 2]], 'hecke_orbit_code': 412350415373, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '525.2.g.a', 'level': 525, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 34109000
{'hecke_orbit_code': 412350415373, 'n': 1, 'trace_an': 4}
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id: 34109001
{'hecke_orbit_code': 412350415373, 'n': 2, 'trace_an': 0}
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id: 34109002
{'hecke_orbit_code': 412350415373, 'n': 3, 'trace_an': 0}
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id: 34109003
{'hecke_orbit_code': 412350415373, 'n': 4, 'trace_an': -8}
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id: 34109004
{'hecke_orbit_code': 412350415373, 'n': 5, 'trace_an': 0}
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id: 34109005
{'hecke_orbit_code': 412350415373, 'n': 6, 'trace_an': 0}
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id: 34109006
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