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mf_newforms • Show schema
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{'Nk2': 2040, 'analytic_conductor': 4.0723705030853, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [510, 2, [341, 307, 241], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 271, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, 0, 24, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936354619902, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '510.2.c.d', 'level': 510, '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': True, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '510.2.c.d', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+q^{2}+\\zeta_{8}q^{3}+q^{4}-\\zeta_{8}q^{5}+\\zeta_{8}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '510.2.c', 'trace_display': [4, 0, 0, 0], 'trace_hash': 614563655048321494, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.540', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.289', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.247', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 0, 0], [0, -1, 0, 0], [0, 1, 0, 0], [0, -2, -1, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -2, 0], [0, 1, 0, 0], [2, 0, 0, -1], [0, -2, -1, 0], [1, 0, 0, 0], [1, 0, 0, 0], [3, 0, 1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [2, 0, 0, 1], [0, 0, -2, 0], [0, 6, 0, 0], [0, 1, 0, 0], [-1, 0, 0, 0], [2, 0, 0, -1], [0, -1, 0, 0], [0, -2, -1, 0], [0, 2, 2, 0], [1, 0, 0, 0], [0, -2, 2, 0], [1, 0, 0, 0], [0, 0, 0, 2], [3, 0, 1, 0], [-2, 0, 0, -1], [-1, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 2, -1, 0], [0, -1, 0, 0], [0, 0, -1, 0], [2, 0, 0, 1], [-4, 0, 0, 3], [0, 0, -2, 0], [0, 1, 0, 0], [0, 6, 0, 0], [0, 0, 0, 2], [0, 1, 0, 0], [-5, 0, 0, -4], [-1, 0, 0, 0], [0, 3, 0, -1], [2, 0, 0, -1], [-6, 0, 0, 2], [0, -1, 0, 0], [0, 0, 0, -2], [0, -2, -1, 0], [0, 0, 0, 0], [0, 2, 2, 0], [8, 0, 0, 1], [1, 0, 0, 0], [0, -6, 0, 0], [0, -2, 2, 0], [0, 2, 1, 0], [1, 0, 0, 0], [0, -2, 1, 0], [0, 0, 0, 2], [0, 0, 0, -3], [3, 0, 1, 0], [-6, 0, 0, 0], [-2, 0, 0, -1], [0, -2, 1, 0], [-1, 0, 0, 0], [0, 8, 1, 0], [0, -2, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [-16, 0, 0, -4], [0, 2, -1, 0], [0, -14, 0, 0], [0, -1, 0, 0], [1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 6], [2, 0, 0, 1], [0, -3, 0, 1], [-4, 0, 0, 3], [-2, 0, 0, -2], [0, 0, -2, 0], [-6, 0, 0, -2], [0, 1, 0, 0], [0, 4, 0, 0], [0, 6, 0, 0], [2, 0, 0, -2], [0, 0, 0, 2], [0, 0, 0, 0], [0, 1, 0, 0], [0, -4, 3, 0], [-5, 0, 0, -4], [0, 0, 2, 0], [-1, 0, 0, 0]], 'ap': [[1, 0, 0, 0], [0, 1, 0, 0], [0, -1, 0, 0], [0, -2, -1, 0], [0, 0, -2, 0], [2, 0, 0, -1], [3, 0, 1, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 2, 2, 0], [0, -2, 2, 0], [0, -2, 0, 0], [0, 0, -1, 0], [-4, 0, 0, 3], [0, 0, 0, 2], [-6, 0, 0, 2], [8, 0, 0, 1], [0, -6, 0, 0], [0, 0, 0, -3], [0, -2, 1, 0], [0, 8, 1, 0], [0, -14, 0, 0], [0, 0, 0, 6], [-6, 0, 0, -2], [0, -4, 3, 0], [6, 0, 0, -1], [0, 0, 0, 0], [0, 8, 4, 0], [0, -10, -2, 0], [0, 4, 4, 0], [8, 0, 0, -2], [0, 16, -2, 0], [-10, 0, 0, 4], [0, 0, 0, 0], [2, 0, 0, -1], [0, 0, 0, -6], [6, 0, 0, 3], [0, 4, 0, 0], [0, -14, -2, 0], [0, 18, -2, 0], [4, 0, 0, -1], [0, 2, 2, 0], [-8, 0, 0, 4], [0, 4, 1, 0], [0, 2, 2, 0], [0, 2, -6, 0], [0, -8, 4, 0], [-16, 0, 0, -4], [0, 4, 4, 0], [10, 0, 0, 0], [0, -12, -6, 0], [0, 0, 0, -6], [0, 4, 0, 0], [4, 0, 0, -5], [-18, 0, 0, 0], [16, 0, 0, -4], [0, -14, -4, 0], [-8, 0, 0, 6], [0, 10, -8, 0], [-10, 0, 0, -2], [0, -8, -6, 0], [10, 0, 0, -8], [-4, 0, 0, 5], [0, -14, -5, 0], [0, 4, 5, 0], [0, 18, 2, 0], [28, 0, 0, 2], [0, 32, 1, 0], [0, -12, 4, 0], [6, 0, 0, 6], [14, 0, 0, 4], [0, 0, 0, 10], [0, -22, -3, 0], [2, 0, 0, 1], [0, 20, 0, 0], [-8, 0, 0, -4], [-18, 0, 0, -3], [0, 10, -6, 0], [0, -16, 5, 0], [-2, 0, 0, 4], [0, 4, -8, 0], [-14, 0, 0, -8], [0, -2, 1, 0], [2, 0, 0, 4], [0, 18, 0, 0], [-12, 0, 0, 2], [0, -24, 5, 0], [-22, 0, 0, 0], [-22, 0, 0, -5], [-40, 0, 0, 0], [12, 0, 0, 0], [0, 22, 5, 0], [0, 2, 7, 0], [-28, 0, 0, -1], [0, 16, 4, 0], [0, -2, 4, 0], [18, 0, 0, -5], [0, 16, 5, 0], [24, 0, 0, 3], [0, 22, 0, 0], [0, -16, -2, 0], [6, 0, 0, 2], [-8, 0, 0, -2], [2, 0, 0, -10], [0, -12, 0, 0], [14, 0, 0, 4], [-12, 0, 0, 2], [2, 0, 0, -8], [24, 0, 0, 6], [0, -8, 6, 0], [0, -10, 5, 0], [22, 0, 0, -7], [0, -4, 10, 0], [0, -20, 0, 0], [8, 0, 0, 0], [0, 24, -1, 0], [0, -4, -12, 0], [-16, 0, 0, -8], [0, 6, -8, 0], [0, 0, 0, 13], [6, 0, 0, 6], [0, 12, -3, 0], [0, -26, -2, 0], [0, 12, -12, 0], [0, -16, -8, 0], [-18, 0, 0, -3], [0, -6, -12, 0], [0, -18, 5, 0], [-16, 0, 0, -6], [38, 0, 0, 3], [-8, 0, 0, 2], [0, -6, -6, 0], [0, -14, -4, 0], [-14, 0, 0, 1], [30, 0, 0, -6], [22, 0, 0, 4], [-2, 0, 0, 10], [0, -24, 6, 0], [18, 0, 0, 0], [0, 24, -5, 0], [0, 12, 12, 0], [0, -18, 4, 0], [0, 2, -7, 0], [0, -24, -8, 0], [30, 0, 0, -6], [0, -6, -7, 0], [0, 34, 4, 0], [0, 8, -10, 0], [4, 0, 0, -10], [24, 0, 0, -2], [0, -26, -6, 0], [0, 4, -5, 0], [-8, 0, 0, -9], [0, -10, 4, 0], [0, 16, -6, 0], [0, -6, -1, 0], [-24, 0, 0, -6], [0, 0, -9, 0], [-2, 0, 0, 18], [0, 42, 0, 0], [0, 40, -4, 0], [2, 0, 0, -8], [-40, 0, 0, 2], [-8, 0, 0, 7], [-6, 0, 0, -4], [0, -34, 2, 0], [0, 2, -14, 0], [0, 34, -4, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 13510936354619902, 'hecke_ring_character_values': [[341, [1, 0, 0, 0]], [307, [1, 0, 0, 0]], [241, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 4, 1, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 2, 0, 2], [0, 2, 0, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '510.2.c.d', 'level': 510, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2040, 'analytic_conductor': 4.0723705030853, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [510, 2, [341, 307, 241], [2, 2, 1]], 'conrey_index': 271, 'cusp_dim': 100, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 137472508414, 'hecke_orbit_dims': [2, 2, 4, 4], 'label': '510.2.c', 'level': 510, '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': True, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 116, 'mf_new_dim': 12, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 12, 'sturm_bound': 216, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 12, 0, 0, 0, 0, -12, 0, 0, 0, 24, 0, 0, 12, 8, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 4, 0, 0, -8, 12, -16, -12, 0, -16, 0, 0, 0, 8, 24, 0, 0, 0, -16, 0, -28, 0, -8, 24, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 8, 24, 8, -32, -8, 0, 0, 0, 0, 0, 16, -64, 0, 0, 0, 12, 0, 16, 0, 8, -8, -16, 0, -40, 0, 0, 0, -8, -16, 0, 0, 0, 0, 0, -12, 24, -8, 8, 0, 0, 8, 0, 0, 0, -8, -16, 0, 0, 0, 8, 0, -24, 32, 24, 4, -28, 0, -8, 0, 0, 0, 56, 0, 0, 0, 0, -8, 0, -24, 0, 12, -32, -24, 0, -16, 0, 0, 0, -12, 24, 0, 0, 0, -8, 0, -48, -16, -8, -64, -16, 0, -24, 0, 0, 0, 32, 0, 0, 0, 0, -16, 0, 8, -12, -24, -16, 24, 0, 8, 0, 0, 0, -32, 48, 0, 0, 0, 40, 0, 8, 16, 32, -16, 0, 0, -48, 0, 0, 0, -8, -28, 0, 0, 0, 0, 0, -16, 192, -8, 0, 56, 0, 24, 0, 0, 0, -16, 16, 0, 0, 0, 32, 0, -32, 8, 72, 56, -104, 0, 12, 0, 0, 0, 24, 32, 0, 0, 0, 0, 0, 0, 56, 8, 128, 0, 0, -96, 0, 0, 0, 40, 0, 0, 0, 0, 48, 0, 16, -24, 12, 12, 0, 0, -112, 0, 0, 0, -48, 8, 0, 0, 0, 24, 0, -4, -16, 8, 16, -56, 0, -32, 0, 0, 0, -8, -152, 0, 0, 0, 16, 0, 32, 0, -20, 0, 64, 0, 96, 0, 0, 0, 8, -32, 0, 0, 0, 80, 0, 16, 0, -12, -40, -64, 0, -8, 0, 0, 0, 96, 16, 0, 0, 0, 80, 0, 0, 48, -16, 12, -24, 0, 56, 0, 0, 0, 48, 16, 0, 0, 0, 0, 0, -32, 0, 8, 112, 16, 0, -8, 0, 0, 0, -16, 8, 0, 0, 0, -16, 0, -16, -40, 80, -64, -48, 0, -100, 0, 0, 0, 40, 16, 0, 0, 0, 0, 0, -8, -8, 96, 0, -16, 0, -8, 0, 0, 0, -48, 64, 0, 0, 0, -24, 0, -120, 16, 16, 0, -24, 0, -48, 0, 0, 0, 0, -12, 0, 0, 0, 24, 0, -16, -80, -8, -24, 32, 0, 8, 0, 0, 0, 0, 80, 0, 0, 0, -104, 0, 16, 8, -8, 24, -128, 0, -64, 0, 0, 0, -56, 48, 0, 0, 0, 0, 0, -8, 28, -32, -32, -16, 0, 40, 0, 0, 0, 0, -80, 0, 0, 0, 48, 0, -8, -32, 8, 8, -120, 0, -200, 0, 0, 0, 96, -24, 0, 0, 0, 32, 0, 64, -16, 24, 16, -64, 0, 4, 0, 0, 0, -28, -24, 0, 0, 0, 64, 0, 32, -8, -96, 0, -8, 0, -128, 0, 0, 0, 32, -64, 0, 0, 0, -16, 0, 56, 152, 16, 64, 0, 0, -24, 0, 0, 0, 128, -48, 0, 0, 0, 152, 0, 0, 112, -80, -8, 100, 0, 0, 0, 0, 0, 16, -24, 0, 0, 0, 0, 0, -112, -56, 12, -96, -64, 0, -32, 0, 0, 0, -24, 0, 0, 0, 0, 48, 0, -16, -16, 8, 96, -64, 0, 64, 0, 0, 0, -72, -16, 0, 0, 0, -32, 0, -12, 8, -32, -64, 24, 0, 16, 0, 0, 0, 88, -112, 0, 0, 0, -80, 0, -192, -8, 32, -8, -88, 0, 208, 0, 0, 0, -24, -48, 0, 0, 0, -16, 0, -40, -48, -8, 88, -72, 0, -64, 0, 0, 0, -16, 32, 0, 0, 0, 12, 0, -64, -24, 0, 8, 112, 0, -64, 0, 0, 0, 120, 176, 0, 0, 0, -96, 0, 32, -32, 16, -160, 0, 0, 0, 0, 0, 0, 48, 56, 0, 0, 0, -32, 0, 40, 160, 40, -16, 0, 0, -16, 0, 0, 0, -16, 8, 0, 0, 0, -12, 0, 16, 160, -24, -112, 144, 0, -16, 0, 0, 0, 24, 32, 0, 0, 0, 64, 0, 0, 8, 120, 64, 96, 0, -168, 0, 0, 0, -16, 56, 0, 0, 0, 24, 0, -32, 32, -24, 64, 48, 0, 112, 0, 0, 0, -128, -64, 0, 0, 0, -168, 0, -12, 56, -32, 40, 72, 0, 16, 0, 0, 0, 32, 8, 0, 0, 0, 16, 0, -32, -16, 32, 80, -4, 0, -16, 0, 0, 0, 0, 168, 0, 0, 0, 104, 0, -48, -48, -8, -32, -32, 0, -56, 0, 0, 0, 80, 8, 0, 0, 0, 32, 0, -8, 96, -48, 16, -28, 0, -104, 0, 0, 0, -56, 112, 0, 0, 0, -56, 0, 352, 0, 32, 0, 40, 0, 48, 0, 0, 0, 48, -16, 0, 0, 0, 192, 0, 80, 80, -8, 96, -32, 0, 0, 0, 0, 0, 56, 8, 0, 0, 0, 168, 0, -16, 24, 24, -80, -88, 0, 8, 0, 0, 0, -84, -128, 0, 0, 0, 16, 0, -16, 16, -12, 80, 16, 0, 48, 0, 0, 0, -64, -64, 0, 0, 0, -96, 0, 72, -48, 32, 32, -16, 0, 176, 0, 0, 0, 16, -32, 0, 0, 0, 8, 0, 0, 8, 72, 88, -112, 0, 56, 0, 0, 0, -104, -128, 0, 0, 0, -80, 0, -128, 12, 24, -48, 64, 0, 0, 0, 0, 0, -24, -32, 0, 0, 0, -128, 0, 24, -128, 8, 32, 32, 0, -16, 0, 0, 0, -152, -8, 0, 0, 0, 112, 0, 48, -144, -8, 0, -168, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 16, -16, 8, -32, -8, 0, 128, 0, 0, 0, 0, 196, 0, 0, 0, 24, 0, -120, -96, -64, 40, -144, 0, 144, 0, 0, 0, 112, -112, 0, 0, 0, -176, 0, 40, -88, 0, 80, 0, 0, 8, 0, 0, 0, 208, -80, 0, 0, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 360121
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '510.2.c.d', 'target_level': 510, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 360122
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '510.2.c.d', 'target_level': 510, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360123
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1530.2.c.f', 'target_level': 1530, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360124
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1530.2.c.f', 'target_level': 1530, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 360125
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2550.2.c.l', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360126
{'conductor': 85, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2550.2.c.l', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 360127
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2550.2.f.o', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 360128
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2550.2.f.o', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 360129
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2550.2.f.t', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 360130
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2550.2.f.t', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 360131
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4080.2.h.o', 'target_level': 4080, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360132
{'conductor': 68, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4080.2.h.o', 'target_level': 4080, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '68.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 360133
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '8670.2.a.bd', 'target_level': 8670, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 360134
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '510.2.c.d', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8670.2.a.bf', 'target_level': 8670, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 983375
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 13510936354619902, 'p': 2}
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id: 983376
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 3}
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id: 983377
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 5}
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id: 983378
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 13510936354619902, 'p': 7}
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id: 983379
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 11}
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id: 983380
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 13}
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id: 983381
{'charpoly_factorization': [[[17, -6, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 17}
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id: 983382
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13510936354619902, 'p': 19}
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id: 983383
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 23}
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id: 983384
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 13510936354619902, 'p': 29}
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id: 983385
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 13510936354619902, 'p': 31}
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id: 983386
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 37}
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id: 983387
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 41}
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id: 983388
{'charpoly_factorization': [[[-56, 8, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 43}
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id: 983389
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 47}
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id: 983390
{'charpoly_factorization': [[[4, 12, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 53}
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id: 983391
{'charpoly_factorization': [[[56, -16, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 59}
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id: 983392
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 61}
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id: 983393
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 67}
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id: 983394
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 13510936354619902, 'p': 71}
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id: 983395
{'charpoly_factorization': [[[3136, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 13510936354619902, 'p': 73}
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id: 983396
{'charpoly_factorization': [[[196, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 79}
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id: 983397
{'charpoly_factorization': [[[-288, 0, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 83}
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id: 983398
{'charpoly_factorization': [[[4, 12, 1], 2]], 'hecke_orbit_code': 13510936354619902, 'p': 89}
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id: 983399
{'charpoly_factorization': [[[3136, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 13510936354619902, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 4, 'label': '510.2.c.d', 'level': 510, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36013423
{'hecke_orbit_code': 13510936354619902, 'n': 1, 'trace_an': 4}
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id: 36013424
{'hecke_orbit_code': 13510936354619902, 'n': 2, 'trace_an': 4}
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id: 36013425
{'hecke_orbit_code': 13510936354619902, 'n': 3, 'trace_an': 0}
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id: 36013426
{'hecke_orbit_code': 13510936354619902, 'n': 4, 'trace_an': 4}
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id: 36013427
{'hecke_orbit_code': 13510936354619902, 'n': 5, 'trace_an': 0}
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id: 36013428
{'hecke_orbit_code': 13510936354619902, 'n': 6, 'trace_an': 0}
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id: 36013429
{'hecke_orbit_code': 13510936354619902, 'n': 7, 'trace_an': 0}
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id: 36013430
{'hecke_orbit_code': 13510936354619902, 'n': 8, 'trace_an': 4}
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id: 36013431
{'hecke_orbit_code': 13510936354619902, 'n': 9, 'trace_an': -4}
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id: 36013432
{'hecke_orbit_code': 13510936354619902, 'n': 10, 'trace_an': 0}
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id: 36013433
{'hecke_orbit_code': 13510936354619902, 'n': 11, 'trace_an': 0}
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id: 36013434
{'hecke_orbit_code': 13510936354619902, 'n': 12, 'trace_an': 0}
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id: 36013435
{'hecke_orbit_code': 13510936354619902, 'n': 13, 'trace_an': 8}
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id: 36013436
{'hecke_orbit_code': 13510936354619902, 'n': 14, 'trace_an': 0}
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id: 36013437
{'hecke_orbit_code': 13510936354619902, 'n': 15, 'trace_an': 4}
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id: 36013438
{'hecke_orbit_code': 13510936354619902, 'n': 16, 'trace_an': 4}
-
id: 36013439
{'hecke_orbit_code': 13510936354619902, 'n': 17, 'trace_an': 12}
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id: 36013440
{'hecke_orbit_code': 13510936354619902, 'n': 18, 'trace_an': -4}
-
id: 36013441
{'hecke_orbit_code': 13510936354619902, 'n': 19, 'trace_an': 0}
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id: 36013442
{'hecke_orbit_code': 13510936354619902, 'n': 20, 'trace_an': 0}
-
id: 36013443
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