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mf_newforms • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [630, 2, [281, 127, 451], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 379, 'conrey_indexes': [379], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 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': [[11, [-24, 0, 1]], [29, [-20, -4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022010114638454, 'hecke_ring_generator_nbound': 5, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '630.2.g.g', 'level': 630, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '70.2.c.a', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{2}q^{2}-q^{4}+(-1-\\beta _{1}+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '630.2.g', 'trace_display': [0, 0, -4, 0], 'trace_hash': 1334158241869321149, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.587', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.111', 'prec': 20}, {'__RealLiteral__': 0, 'data': '34.548', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [-1, -1, 1, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 0], [1, 0, 1, 1], [0, 2, 0, -2], [0, 0, 0, 0], [0, 1, 2, 1], [1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [-4, 1, 0, -1], [1, 1, -1, 0], [0, 0, 0, 0], [0, -2, 0, -2], [0, -2, 2, -2], [0, 0, 0, 0], [0, 2, 1, -2], [2, 1, 0, -1], [0, 0, 0, 0], [0, 0, -1, 0], [2, 2, 0, -2], [0, 0, 0, 0], [4, 2, 0, -2], [0, 0, -1, 0], [0, 0, 0, 0], [2, 0, 0, 0], [-1, 0, -1, -1], [0, 0, 0, 0], [0, 0, -2, 0], [0, -1, 4, -1], [0, 0, 0, 0], [-1, 0, -1, -1], [6, -2, 0, 2], [0, 0, 0, 0], [0, -2, 4, -2], [0, -2, 0, 2], [0, 0, 0, 0], [2, -2, 0, 2], [0, 2, 4, 2], [0, 0, 0, 0], [-1, 0, 0, 0], [1, -2, 0, -2], [0, 0, 0, 0], [0, -1, -2, -1], [0, 2, 6, 2], [0, 0, 0, 0], [-6, 0, -6, 4], [-1, 0, 0, 0], [0, 0, 0, 0], [0, -2, -2, -2], [-4, 1, 0, -1], [0, 0, 0, 0], [6, -1, 0, 1], [0, -2, -4, -2], [0, 0, 0, 0], [-1, 0, 0, 0], [1, -2, -5, -2], [0, 0, 0, 0], [0, 0, 8, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-1, -1, 1, 0], [6, -2, 0, 2], [0, 0, 0, 0], [0, 2, -2, 2], [-2, 0, 0, 0], [0, 0, 0, 0], [4, -1, 0, 1], [0, 2, 0, 2], [0, 0, 0, 0], [-2, -2, 0, 2], [-1, -1, 1, 0], [0, 0, 0, 0], [0, 2, -6, 2], [0, 1, 0, 1], [0, 0, 0, 0], [-2, 0, -2, -2], [4, -2, 0, 2], [0, 0, 0, 0], [0, 2, 0, 2], [-10, 0, 0, 0], [0, 0, 0, 0], [-2, -1, 0, 1], [0, 2, -2, 2], [0, 0, 0, 0], [4, 2, 0, -2], [1, 4, -7, 2], [0, 0, 0, 0], [0, -4, -6, -4], [0, 0, 1, 0], [0, 0, 0, 0], [0, -2, -1, 2]], 'ap': [[0, 0, -1, 0], [0, 0, 0, 0], [-1, -1, 1, 0], [0, 0, 1, 0], [0, 2, 0, -2], [0, 1, 2, 1], [0, 0, 2, 0], [-4, 1, 0, -1], [0, -2, 2, -2], [2, 2, 0, -2], [4, 2, 0, -2], [0, 0, -2, 0], [6, -2, 0, 2], [0, -2, 4, -2], [0, 2, 4, 2], [0, 2, 6, 2], [-4, 1, 0, -1], [6, -1, 0, 1], [0, 0, 8, 0], [6, -2, 0, 2], [0, 2, -2, 2], [-2, -2, 0, 2], [0, 1, 0, 1], [-10, 0, 0, 0], [0, -4, -6, -4], [-6, 1, 0, -1], [0, 2, 8, 2], [0, 0, -8, 0], [-2, -2, 0, 2], [0, -4, -10, -4], [0, 2, 10, 2], [4, 1, 0, -1], [0, -4, 8, -4], [-4, 1, 0, -1], [6, -4, 0, 4], [0, 8, 0, -8], [0, 1, -6, 1], [0, 2, -12, 2], [0, -2, 0, -2], [0, 5, -6, 5], [4, 4, 0, -4], [2, -5, 0, 5], [2, -6, 0, 6], [0, -8, -2, -8], [0, 2, 14, 2], [-12, -2, 0, 2], [12, 0, 0, 0], [0, 0, -4, 0], [0, 3, 0, 3], [2, 7, 0, -7], [0, -4, -20, -4], [-16, 4, 0, -4], [6, -6, 0, 6], [4, 1, 0, -1], [0, -6, 6, -6], [0, -4, 0, -4], [2, 7, 0, -7], [12, 0, 0, 0], [0, 2, 10, 2], [18, 0, 0, 0], [0, -5, 16, -5], [0, -5, -6, -5], [0, 5, 8, 5], [-12, 0, 0, 0], [0, -8, -2, -8], [0, -10, 2, -10], [-4, -6, 0, 6], [0, -8, 10, -8], [0, 2, 24, 2], [6, 1, 0, -1], [0, -2, -18, -2], [-8, -8, 0, 8], [0, 0, -32, 0], [0, -6, 10, -6], [-16, -6, 0, 6], [0, -2, 12, -2], [18, -2, 0, 2], [0, -3, 10, -3], [0, 12, 0, -12], [-10, -10, 0, 10], [-4, 1, 0, -1], [-14, 4, 0, -4], [-8, 4, 0, -4], [0, 4, -10, 4], [-8, 12, 0, -12], [0, -4, 0, -4], [-10, 0, 0, 0], [0, -8, -10, -8], [-10, -3, 0, 3], [0, 8, -16, 8], [0, 1, 8, 1], [24, -6, 0, 6], [0, -6, 22, -6], [0, -8, 0, 8], [-16, 4, 0, -4], [0, 0, 4, 0], [-34, 1, 0, -1], [-18, -6, 0, 6], [0, -7, -16, -7], [-10, 8, 0, -8], [0, 6, 4, 6], [0, 6, -2, 6], [0, 9, 8, 9], [24, 4, 0, -4], [-16, 2, 0, -2], [0, 10, -22, 10], [0, 7, -16, 7], [0, 2, 6, 2], [-18, 2, 0, -2], [-10, -12, 0, 12], [0, -12, -4, -12], [0, -4, -18, -4], [0, 8, 10, 8], [44, -1, 0, 1], [-18, -10, 0, 10], [-16, -4, 0, 4], [0, 7, 8, 7], [0, -14, -12, -14], [0, -4, 30, -4], [12, 2, 0, -2], [-14, -11, 0, 11], [0, -4, -8, -4], [0, -1, -34, -1], [0, -8, 16, -8], [4, 7, 0, -7], [-26, 6, 0, -6], [-6, 14, 0, -14], [20, -10, 0, 10], [0, -6, -8, -6], [0, 17, -2, 17], [20, -10, 0, 10], [0, 6, 30, 6], [-32, -4, 0, 4], [0, 4, 42, 4], [26, -2, 0, 2], [26, 6, 0, -6], [0, -3, 6, -3], [0, -1, -48, -1], [0, -11, 26, -11], [28, 8, 0, -8], [-12, 11, 0, -11], [-18, 4, 0, -4], [0, -16, 0, -16], [0, -8, 4, -8], [2, 17, 0, -17], [32, 2, 0, -2], [0, -13, -2, -13], [0, -16, -14, -16], [-12, -17, 0, 17], [0, 12, 16, 12], [0, 12, 10, 12], [-18, 4, 0, -4], [0, -4, 32, -4], [0, 6, -12, 6], [0, 4, 32, 4], [16, 8, 0, -8], [22, 2, 0, -2], [6, -14, 0, 14], [0, -2, 46, -2], [22, -1, 0, 1], [0, 18, 0, 18], [0, 4, -12, 4], [0, 14, 2, 14], [12, -1, 0, 1], [0, -12, 0, -12], [0, -6, 28, -6], [46, -6, 0, 6], [0, -3, -50, -3]], 'char_orbit_index': 7, 'field_poly': [9, 0, 0, 0, 1], 'hecke_orbit_code': 27022010114638454, 'hecke_ring_character_values': [[281, [1, 0, 0, 0]], [127, [-1, 0, 0, 0]], [451, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 0], [0, 0, 0, 3]], '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': '630.2.g.g', 'level': 630, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [630, 2, [281, 127, 451], [2, 1, 2]], 'conrey_index': 379, 'cusp_dim': 128, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 29], 'hecke_orbit_code': 412350415478, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4], 'label': '630.2.g', 'level': 630, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 160, 'mf_new_dim': 16, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 16, 'sturm_bound': 288, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [16, 0, 0, -16, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 16, 0, 0, 16, 4, 0, 0, 0, 0, -12, -8, 0, 0, 8, 0, 32, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, -16, -12, 0, 0, 0, 0, 8, -4, 0, 0, -48, 0, -48, 0, 0, -16, 20, 0, 0, 0, 0, 4, 64, 0, 0, 16, 0, -16, 0, 0, 40, -4, 0, 0, 0, 0, -16, -8, 0, 0, -40, 0, -8, 0, 0, 0, -4, 0, 0, 0, 0, 12, -24, 0, 0, 8, 0, 32, 0, 0, -32, -40, 0, 0, 0, 0, -64, -8, 0, 0, 0, 0, 80, 0, 0, -32, -28, 0, 0, 0, 0, -52, 80, 0, 0, 24, 0, 0, 0, 0, -16, -4, 0, 0, 0, 0, 0, 40, 0, 0, 8, 0, 48, 0, 0, -16, -24, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, -32, 0, 0, 8, -16, 0, 0, 0, 0, -36, 0, 0, 0, 32, 0, 96, 0, 0, -8, 24, 0, 0, 0, 0, 52, 16, 0, 0, -24, 0, 16, 0, 0, -32, 12, 0, 0, 0, 0, -80, 16, 0, 0, 32, 0, -64, 0, 0, 0, -56, 0, 0, 0, 0, -8, -96, 0, 0, 4, 0, 48, 0, 0, -32, 32, 0, 0, 0, 0, -8, 48, 0, 0, -56, 0, -48, 0, 0, 48, 4, 0, 0, 0, 0, 24, 16, 0, 0, 72, 0, 16, 0, 0, -8, -20, 0, 0, 0, 0, 40, -24, 0, 0, 72, 0, -96, 0, 0, 40, 96, 0, 0, 0, 0, -4, -32, 0, 0, -64, 0, 16, 0, 0, 64, 32, 0, 0, 0, 0, 84, -16, 0, 0, -64, 0, 32, 0, 0, 16, 28, 0, 0, 0, 0, -8, -80, 0, 0, -88, 0, -40, 0, 0, 0, 4, 0, 0, 0, 0, -40, -40, 0, 0, -24, 0, 128, 0, 0, 16, -112, 0, 0, 0, 0, 16, 128, 0, 0, 8, 0, -16, 0, 0, -32, 0, 0, 0, 0, 0, 64, 40, 0, 0, 8, 0, 184, 0, 0, 8, 16, 0, 0, 0, 0, -88, -8, 0, 0, -16, 0, 0, 0, 0, 112, 4, 0, 0, 0, 0, -24, 8, 0, 0, 88, 0, -112, 0, 0, -64, 0, 0, 0, 0, 0, -12, -8, 0, 0, 24, 0, 24, 0, 0, -240, 64, 0, 0, 0, 0, 12, -8, 0, 0, 48, 0, -80, 0, 0, -32, -104, 0, 0, 0, 0, -56, -24, 0, 0, 32, 0, 32, 0, 0, 144, 40, 0, 0, 0, 0, -8, 32, 0, 0, -112, 0, 32, 0, 0, 224, 36, 0, 0, 0, 0, 64, -40, 0, 0, 8, 0, -104, 0, 0, 16, -32, 0, 0, 0, 0, 144, 0, 0, 0, 128, 0, -112, 0, 0, -80, 56, 0, 0, 0, 0, 0, 144, 0, 0, -88, 0, 32, 0, 0, -112, 28, 0, 0, 0, 0, -20, -64, 0, 0, -72, 0, 8, 0, 0, 64, 24, 0, 0, 0, 0, 52, -8, 0, 0, -80, 0, 32, 0, 0, -192, -64, 0, 0, 0, 0, 144, -24, 0, 0, 0, 0, -80, 0, 0, 0, 16, 0, 0, 0, 0, -96, 64, 0, 0, 80, 0, 16, 0, 0, -176, 4, 0, 0, 0, 0, 96, 16, 0, 0, 40, 0, -80, 0, 0, -56, -72, 0, 0, 0, 0, 0, -48, 0, 0, -40, 0, -176, 0, 0, 144, -28, 0, 0, 0, 0, 24, -8, 0, 0, 16, 0, -128, 0, 0, -48, -52, 0, 0, 0, 0, 28, -192, 0, 0, 64, 0, 16, 0, 0, 176, 24, 0, 0, 0, 0, 8, -24, 0, 0, 176, 0, -200, 0, 0, 176, 16, 0, 0, 0, 0, 0, -152, 0, 0, 24, 0, -80, 0, 0, 144, 96, 0, 0, 0, 0, 4, 8, 0, 0, -16, 0, 96, 0, 0, 32, 60, 0, 0, 0, 0, 32, 32, 0, 0, 88, 0, -8, 0, 0, 104, 16, 0, 0, 0, 0, 8, -4, 0, 0, -32, 0, -176, 0, 0, -80, -20, 0, 0, 0, 0, 36, 24, 0, 0, 0, 0, -224, 0, 0, 160, 16, 0, 0, 0, 0, -160, -32, 0, 0, 32, 0, -16, 0, 0, -96, 96, 0, 0, 0, 0, 16, -192, 0, 0, -256, 0, 8, 0, 0, 0, -24, 0, 0, 0, 0, -8, 16, 0, 0, -16, 0, 0, 0, 0, -96, -64, 0, 0, 0, 0, -52, 104, 0, 0, -16, 0, 160, 0, 0, 0, -24, 0, 0, 0, 0, 144, 24, 0, 0, -192, 0, 224, 0, 0, -16, 84, 0, 0, 0, 0, -80, 40, 0, 0, 40, 0, 32, 0, 0, -176, -12, 0, 0, 0, 0, -80, 80, 0, 0, 184, 0, 48, 0, 0, -224, 56, 0, 0, 0, 0, 80, -104, 0, 0, -16, 0, 0, 0, 0, 80, 36, 0, 0, 0, 0, -232, -32, 0, 0, 176, 0, 64, 0, 0, 64, 100, 0, 0, 0, 0, 72, 80, 0, 0, 64, 0, 0, 0, 0, 80, 56, 0, 0, 0, 0, -36, -40, 0, 0, -160, 0, 192, 0, 0, 144, 20, 0, 0, 0, 0, 8, -120, 0, 0, 96, 0, 48, 0, 0, -40, -120, 0, 0, 0, 0, 96, -4, 0, 0, 32, 0, -32, 0, 0, -48, 92, 0, 0, 0, 0, 4, 40, 0, 0, -40, 0, 32, 0, 0, 56, -32, 0, 0, 0, 0, 72, -112, 0, 0, -72, 0, -16, 0, 0, 256, -48, 0, 0, 0, 0, 8, 120, 0, 0, -48, 0, -64, 0, 0, 256, -80, 0, 0, 0, 0, -64, 56, 0, 0, -48, 0, -176, 0, 0, 48, -120, 0, 0, 0, 0, 88, 48, 0, 0, 184, 0, -48, 0, 0, -256, -4, 0, 0, 0, 0, 8, 64, 0, 0, -192, 0, -40, 0, 0, -8, 136, 0, 0, 0, 0, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 422276
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '70.2.c.a', 'target_level': 70, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422277
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '70.2.c.a', 'target_level': 70, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 422278
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '350.2.a.g', 'target_level': 350, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 422279
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '350.2.a.h', 'target_level': 350, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 422280
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '490.2.c.e', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422281
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '490.2.c.e', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 422282
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '490.2.i.c', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 422283
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '490.2.i.c', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 422284
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '490.2.i.f', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 422285
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '490.2.i.f', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 422286
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '560.2.g.e', 'target_level': 560, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422287
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '560.2.g.e', 'target_level': 560, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 422288
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '630.2.g.g', 'target_level': 630, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 422289
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '630.2.g.g', 'target_level': 630, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422290
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2240.2.g.i', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 422291
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2240.2.g.i', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 422292
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2240.2.g.j', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 422293
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2240.2.g.j', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 422294
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2450.2.a.bl', 'target_level': 2450, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 422295
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '2450.2.a.bq', 'target_level': 2450, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 422296
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2800.2.a.bl', 'target_level': 2800, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 422297
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '2800.2.a.bm', 'target_level': 2800, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 422298
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '3150.2.a.bs', 'target_level': 3150, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422299
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '3150.2.a.bt', 'target_level': 3150, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422300
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5040.2.t.t', 'target_level': 5040, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422301
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '630.2.g.g', 'source_level': 630, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5040.2.t.t', 'target_level': 5040, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1139750
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 2}
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id: 1139751
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022010114638454, 'p': 3}
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id: 1139752
{'charpoly_factorization': [[[25, 20, 8, 4, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 5}
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id: 1139753
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 7}
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id: 1139754
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 11}
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id: 1139755
{'charpoly_factorization': [[[4, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 13}
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id: 1139756
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 17}
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id: 1139757
{'charpoly_factorization': [[[10, 8, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 19}
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id: 1139758
{'charpoly_factorization': [[[400, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 23}
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id: 1139759
{'charpoly_factorization': [[[-20, -4, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 29}
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id: 1139760
{'charpoly_factorization': [[[-8, -8, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 31}
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id: 1139761
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 37}
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id: 1139762
{'charpoly_factorization': [[[12, -12, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 41}
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id: 1139763
{'charpoly_factorization': [[[64, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 43}
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id: 1139764
{'charpoly_factorization': [[[64, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 47}
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id: 1139765
{'charpoly_factorization': [[[144, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 53}
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id: 1139766
{'charpoly_factorization': [[[10, 8, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 59}
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id: 1139767
{'charpoly_factorization': [[[30, -12, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 61}
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id: 1139768
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 67}
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id: 1139769
{'charpoly_factorization': [[[12, -12, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 71}
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id: 1139770
{'charpoly_factorization': [[[400, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 73}
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id: 1139771
{'charpoly_factorization': [[[-20, 4, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 79}
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id: 1139772
{'charpoly_factorization': [[[6, 0, 1], 2]], 'hecke_orbit_code': 27022010114638454, 'p': 83}
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id: 1139773
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 27022010114638454, 'p': 89}
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id: 1139774
{'charpoly_factorization': [[[3600, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 27022010114638454, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 7, 'label': '630.2.g.g', 'level': 630, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 183756000
{'hecke_orbit_code': 27022010114638454, 'n': 1, 'trace_an': 4}
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id: 183756001
{'hecke_orbit_code': 27022010114638454, 'n': 2, 'trace_an': 0}
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id: 183756002
{'hecke_orbit_code': 27022010114638454, 'n': 3, 'trace_an': 0}
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id: 183756003
{'hecke_orbit_code': 27022010114638454, 'n': 4, 'trace_an': -4}
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id: 183756004
{'hecke_orbit_code': 27022010114638454, 'n': 5, 'trace_an': -4}
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id: 183756005
{'hecke_orbit_code': 27022010114638454, 'n': 6, 'trace_an': 0}
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id: 183756006
{'hecke_orbit_code': 27022010114638454, 'n': 7, 'trace_an': 0}
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id: 183756007
{'hecke_orbit_code': 27022010114638454, 'n': 8, 'trace_an': 0}
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id: 183756008
{'hecke_orbit_code': 27022010114638454, 'n': 9, 'trace_an': 0}
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id: 183756009
{'hecke_orbit_code': 27022010114638454, 'n': 10, 'trace_an': 4}
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id: 183756010
{'hecke_orbit_code': 27022010114638454, 'n': 11, 'trace_an': 0}
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id: 183756011
{'hecke_orbit_code': 27022010114638454, 'n': 12, 'trace_an': 0}
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id: 183756012
{'hecke_orbit_code': 27022010114638454, 'n': 13, 'trace_an': 0}
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id: 183756013
{'hecke_orbit_code': 27022010114638454, 'n': 14, 'trace_an': 4}
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id: 183756014
{'hecke_orbit_code': 27022010114638454, 'n': 15, 'trace_an': 0}
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id: 183756015
{'hecke_orbit_code': 27022010114638454, 'n': 16, 'trace_an': 4}
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id: 183756016
{'hecke_orbit_code': 27022010114638454, 'n': 17, 'trace_an': 0}
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id: 183756017
{'hecke_orbit_code': 27022010114638454, 'n': 18, 'trace_an': 0}
-
id: 183756018
{'hecke_orbit_code': 27022010114638454, 'n': 19, 'trace_an': -16}
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id: 183756019
{'hecke_orbit_code': 27022010114638454, 'n': 20, 'trace_an': 4}
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id: 183756020
{'hecke_orbit_code': 27022010114638454, 'n': 21, 'trace_an': 0}
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id: 183756021
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