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mf_newforms • Show schema
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{'Nk2': 280, 'analytic_conductor': 0.5589528141489627, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [70, 6, [57, 31], [3, 2]], 'cm_discs': [], 'conrey_index': 9, 'conrey_indexes': [9, 39], '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': [[3, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416738886, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 35, 10, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '70.2.i.b', 'level': 70, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '70.2.i.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 10, 'qexp_display': 'q+\\zeta_{12}q^{2}+\\zeta_{12}^{2}q^{4}+(2-\\zeta_{12}-2\\zeta_{12}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '70.2.i', 'trace_display': [0, 0, 4, 0], 'trace_hash': 1910893478120132753, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.926', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.381', 'prec': 17}, {'__RealLiteral__': 0, 'data': '97.252', 'prec': 20}, {'__RealLiteral__': 0, 'data': '57.588', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [2, -1, -2, 0], [0, 0, 0, 0], [0, -2, 0, 3], [0, 0, 0, 1], [-3, 0, 3, 0], [0, 2, -1, -2], [0, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, -5], [-3, 0, 1, 0], [0, 0, 0, 0], [-1, 0, 1, 0], [0, 2, 0, -2], [0, -3, 0, 3], [-5, 0, 5, 0], [2, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, -3], [0, 7, 0, 0], [0, 0, 0, 0], [0, -4, -3, 4], [5, 0, -5, 0], [0, 0, 0, 0], [0, -3, 0, 1], [4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, -1, 0, 1], [0, 0, 0, 0], [2, 0, 0, 0], [3, 2, -1, 4], [-3, 0, 0, 0], [0, 1, 0, 0], [0, -5, 0, 5], [0, 0, 0, 0], [1, 2, -1, 0], [3, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [3, 0, -3, 0], [0, 3, 6, -3], [0, 0, 7, 0], [0, -7, 0, 0], [0, 0, 0, 0], [3, 0, -8, 0], [-4, 0, 0, -3], [0, 0, 0, 0], [0, 5, 0, -5], [0, 9, 0, -9], [0, 0, 0, 0], [-6, 0, 0, 3], [-1, 0, -2, 0], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-6, 0, 6, 0], [0, 0, 0, 2], [0, -3, 0, -6], [-1, 0, 0, 0], [-5, -10, 5, 0], [0, 0, 0, 0], [0, -2, 0, 2], [0, 2, 0, 0], [0, 0, 0, 0], [-4, 3, 6, -1], [-6, 0, 0, 0], [0, -3, 0, 0], [0, -16, 0, 16], [0, 0, 1, 0], [0, 0, 0, 0], [-5, 0, 0, 0], [0, 9, 0, -3], [0, 0, 0, 0], [14, 0, -14, 0], [0, 1, 2, -1], [0, 0, -9, 0], [0, 3, 0, 0], [0, 0, 0, -6], [0, 0, 0, 0], [-2, 0, 0, -4], [-2, 0, 2, 0], [0, 0, 0, 0], [0, 3, 0, -3], [2, 0, -2, 0], [3, 0, 0, 6], [5, 0, 10, 0], [0, 0, 0, 7], [0, 0, 0, 0], [0, 0, -7, 0], [0, 5, 10, -5], [0, 0, 0, 0], [0, 0, 0, 12], [0, 3, 0, -8], [9, 0, 0, 0], [3, -4, -3, 0]], 'ap': [[0, 1, 0, 0], [0, 0, 0, 0], [2, -1, -2, 0], [0, -2, 0, 3], [0, 0, -3, 0], [0, 0, 0, -5], [0, 2, 0, -2], [-5, 0, 5, 0], [0, 7, 0, 0], [4, 0, 0, 0], [0, 0, 2, 0], [0, 1, 0, 0], [3, 0, 0, 0], [0, 0, 0, 2], [0, -7, 0, 0], [0, 9, 0, -9], [0, 0, -4, 0], [-6, 0, 6, 0], [0, -2, 0, 2], [-6, 0, 0, 0], [0, -16, 0, 16], [14, 0, -14, 0], [0, 0, 0, -6], [2, 0, -2, 0], [0, 0, 0, 12], [0, 0, 0, 0], [0, 8, 0, 0], [0, -16, 0, 0], [0, 0, 2, 0], [0, 0, 0, 14], [0, 0, 0, -7], [1, 0, -1, 0], [0, 8, 0, -8], [-16, 0, 0, 0], [-18, 0, 18, 0], [0, 0, 6, 0], [0, 9, 0, -9], [0, 12, 0, 0], [0, 0, 0, -15], [0, -9, 0, 0], [0, 0, 13, 0], [26, 0, 0, 0], [20, 0, -20, 0], [0, -10, 0, 10], [0, 0, 0, 5], [0, 0, 18, 0], [-9, 0, 0, 0], [0, 0, 0, -8], [0, 6, 0, -6], [16, 0, -16, 0], [0, 8, 0, 0], [-20, 0, 0, 0], [0, 0, 9, 0], [5, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, 0], [0, 0, -10, 0], [-24, 0, 24, 0], [0, 2, 0, -2], [9, 0, 0, 0], [0, 14, 0, -14], [0, 0, 0, -9], [0, 0, 0, 22], [0, 0, -6, 0], [0, 22, 0, 0], [0, -2, 0, 0], [-5, 0, 5, 0], [0, 0, 0, -10], [0, 12, 0, -12], [12, 0, 0, 0], [0, 24, 0, -24], [16, 0, -16, 0], [0, -13, 0, 13], [0, -26, 0, 0], [29, 0, 0, 0], [0, -21, 0, 0], [0, 0, -6, 0], [0, -14, 0, 0], [15, 0, -15, 0], [0, 0, -14, 0], [-35, 0, 0, 0], [-20, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 28], [-28, 0, 28, 0], [0, -30, 0, 0], [-5, 0, 0, 0], [0, -10, 0, 0], [-32, 0, 0, 0], [0, 0, 0, -17], [0, 34, 0, 0], [0, 0, 36, 0], [0, 32, 0, -32], [24, 0, 0, 0], [4, 0, -4, 0], [0, 0, 0, 40], [-34, 0, 34, 0], [0, 0, 27, 0], [0, -16, 0, 0], [16, 0, -16, 0], [0, 0, 0, 26], [0, -23, 0, 23], [0, 2, 0, -2], [-15, 0, 15, 0], [0, 0, -32, 0], [0, 4, 0, -4], [0, 0, 0, -34], [0, 6, 0, 0], [0, 0, -12, 0], [-22, 0, 0, 0], [0, -13, 0, 0], [0, -15, 0, 15], [0, 0, 0, -14], [0, 0, 19, 0], [-18, 0, 0, 0], [0, 0, 5, 0], [0, 0, 0, -14], [0, 27, 0, -27], [0, -3, 0, 0], [36, 0, 0, 0], [0, 0, -16, 0], [0, 0, 0, 32], [0, -17, 0, 0], [0, -44, 0, 44], [44, 0, -44, 0], [26, 0, 0, 0], [12, 0, -12, 0], [26, 0, -26, 0], [0, 0, 0, 29], [0, -41, 0, 0], [0, 0, -29, 0], [0, 0, 0, -21], [-28, 0, 28, 0], [0, 0, 0, -42], [-1, 0, 1, 0], [29, 0, 0, 0], [0, 45, 0, -45], [0, -18, 0, 18], [0, 0, 0, 2], [0, 0, -5, 0], [-33, 0, 0, 0], [18, 0, -18, 0], [0, -24, 0, 24], [0, 0, 0, 22], [0, 0, -26, 0], [34, 0, 0, 0], [0, 0, 0, -43], [0, -8, 0, 8], [-12, 0, 12, 0], [0, 11, 0, 0], [0, 31, 0, 0], [-15, 0, 0, 0], [0, 0, 0, 16], [0, 36, 0, 0], [0, 40, 0, -40], [2, 0, 0, 0], [20, 0, -20, 0], [21, 0, -21, 0], [0, 0, 0, 26], [0, 0, 28, 0], [0, -12, 0, 0], [0, 0, 0, -24], [0, 0, 0, -32], [33, 0, -33, 0], [0, -54, 0, 54], [0, -29, 0, 29], [0, 0, 8, 0], [0, 38, 0, -38]], 'char_orbit_index': 9, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 4504149416738886, 'hecke_ring_character_values': [[57, [-1, 0, 0, 0]], [31, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '70.2.i.b', 'level': 70, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 280, 'analytic_conductor': 0.5589528141489627, 'char_conductor': 35, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [70, 6, [57, 31], [3, 2]], 'conrey_index': 9, 'cusp_dim': 16, 'dim': 8, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 549789368390, 'hecke_orbit_dims': [4, 4], 'label': '70.2.i', 'level': 70, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 32, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 10, 'relative_dim': 4, 'sturm_bound': 24, 'trace_bound': 5, 'trace_display': [0, 0, 2, 0], 'traces': [8, 0, 0, 4, 2, -12, 0, 0, 6, 2, -6, 0, 0, -2, -24, -4, 0, 0, -14, 4, 6, 0, 0, -6, 0, 14, 0, 0, 20, 6, -16, 0, 0, 16, 26, 12, 0, 0, 12, -2, 0, 0, 0, 6, 24, 16, 0, 0, -26, -32, -12, 0, 0, -18, -24, 2, 0, 0, -4, -12, 6, 0, 0, -8, -2, 0, 0, 0, -12, -2, 0, 0, 0, -14, 24, -28, 0, 0, 8, 2, -36, 0, 0, -24, 8, -14, 0, 0, -10, 60, 20, 0, 0, 2, 16, 6, 0, 0, 36, 0, 30, 0, 0, 28, -30, 12, 0, 0, 14, -6, 96, 0, 0, 12, -10, 10, 0, 0, -8, 12, 26, 0, 0, 16, -52, -6, 0, 0, -30, -16, -38, 0, 0, 20, -36, 8, 0, 0, -32, 28, -96, 0, 0, 6, 14, -104, 0, 0, -66, -18, 0, 0, 0, 24, 56, -12, 0, 0, 36, -4, -62, 0, 0, 0, 0, 30, 0, 0, -12, 4, -6, 0, 0, -12, 16, 12, 0, 0, -26, -24, 124, 0, 0, -16, -34, 60, 0, 0, 90, 4, 80, 0, 0, -24, -24, 26, 0, 0, 60, -16, -42, 0, 0, -24, 18, 38, 0, 0, 60, -48, -108, 0, 0, -46, -16, -36, 0, 0, 60, -12, -28, 0, 0, 4, 108, -8, 0, 0, 52, 52, 0, 0, 0, 6, 46, 4, 0, 0, -40, 12, -18, 0, 0, 12, -26, 36, 0, 0, 54, -26, -20, 0, 0, -2, -12, -4, 0, 0, -74, -4, -12, 0, 0, 0, -84, 14, 0, 0, -10, -18, -60, 0, 0, -32, -18, -6, 0, 0, -264, -28, 108, 0, 0, 0, 24, -60, 0, 0, -52, -4, 0, 0, 0, 66, -40, 14, 0, 0, 74, 48, 34, 0, 0, -14, 42, 12, 0, 0, -132, 44, -24, 0, 0, 84, -30, 16, 0, 0, -24, -2, 84, 0, 0, 36, 56, 0, 0, 0, 134, 0, -38, 0, 0, 12, 64, -30, 0, 0, 60, 4, 12, 0, 0, -28, 6, -42, 0, 0, 84, 54, 72, 0, 0, -12, -36, -20, 0, 0, 4, 30, 18, 0, 0, -14, -16, -54, 0, 0, -54, 40, -6, 0, 0, -12, -12, -2, 0, 0, 124, -16, -48, 0, 0, 12, -24, 40, 0, 0, -48, -24, 64, 0, 0, -26, -76, 18, 0, 0, -60, 0, 24, 0, 0, -30, -36, -32, 0, 0, -62, -18, 96, 0, 0, -60, 24, 14, 0, 0, 20, -6, 44, 0, 0, 6, -32, -72, 0, 0, 0, -2, -68, 0, 0, -116, -24, -14, 0, 0, -40, -12, -78, 0, 0, 48, -22, 32, 0, 0, -112, -24, -18, 0, 0, -24, 116, 24, 0, 0, 36, 10, -184, 0, 0, -10, 120, 44, 0, 0, -10, -88, -72, 0, 0, 60, 36, -4, 0, 0, 108, 6, -22, 0, 0, 52, 24, 0, 0, 0, 144, -14, 24, 0, 0, 58, 36, 32, 0, 0, 40, -26, -54, 0, 0, 78, -60, 42, 0, 0, 2, -48, 52, 0, 0, 12, 28, 30, 0, 0, 144, 16, 90, 0, 0, -76, -72, 84, 0, 0, 8, 48, 96, 0, 0, 42, 4, 10, 0, 0, -66, -72, 22, 0, 0, -8, -4, 60, 0, 0, -144, 24, -44, 0, 0, 112, -48, -16, 0, 0, 80, 2, 0, 0, 0, -48, 68, 88, 0, 0, -66, 12, -44, 0, 0, -54, -128, -6, 0, 0, -120, 28, -42, 0, 0, -52, -78, -30, 0, 0, 40, -16, -48, 0, 0, 0, 52, -132, 0, 0, 48, 18, -176, 0, 0, 0, 14, -90, 0, 0, 6, 96, -38, 0, 0, -82, 72, -6, 0, 0, -2, 28, -18, 0, 0, -24, 28, 28, 0, 0, -56, 12, -168, 0, 0, 40, -46, 72, 0, 0, 108, -2, 80, 0, 0, -46, 60, -28, 0, 0, -24, -36, 240, 0, 0, -30, -44, 0, 0, 0, 24, 0, 50, 0, 0, 60, -2, -204, 0, 0, 48, -22, 72, 0, 0, 16, -72, -6, 0, 0, -96, 8, 72, 0, 0, 6, -160, -40, 0, 0, -66, -12, 128, 0, 0, -36, -80, -6, 0, 0, -168, 8, 100, 0, 0, 6, 48, 72, 0, 0, 6, 36, 204, 0, 0, 12, 60, 26, 0, 0, 92, -48, 8, 0, 0, 62, -18, -66, 0, 0, 216, -44, 28, 0, 0, 40, 132, -32, 0, 0, -122, 34, -48, 0, 0, -60, 42, -68, 0, 0, 104, 132, -64, 0, 0, 44, 72, 18, 0, 0, 0, 2, 98, 0, 0, 160, 60, -24, 0, 0, -20, 60, -144, 0, 0, 48, 72, -48, 0, 0, -18, -12, 36, 0, 0, 52, 60, 120, 0, 0, -126, -136, -212, 0, 0, -92, 36, -60, 0, 0, 8, 16, 96, 0, 0, -84, -26, -40, 0, 0, 40, 18, -108, 0, 0, 6, -72, -12, 0, 0, -246, 36, 120, 0, 0, -38, 0, 52, 0, 0, 16, -6, -156, 0, 0, -96, -66, 30, 0, 0, 8, -60, -164, 0, 0, -54, -66, 276, 0, 0, -48, 0, -2, 0, 0, -6, -168, 46, 0, 0, -24, -32, -18, 0, 0, -18, -30, -28, 0, 0, -168, 6, -8, 0, 0, -148, -68, 120, 0, 0, -144, 12, -72, 0, 0, 28, -24, -54, 0, 0, 136, -64, -54, 0, 0, 90, 208, 2, 0, 0, -4, 54, 12, 0, 0, -16, 94, 36, 0, 0, 360, 2, 40, 0, 0, 44, -108, 104, 0, 0, 92, 26, -114, 0, 0, 0, 112, -16, 0, 0, 96, -120, 182, 0, 0, 70, 12, -6, 0, 0, 96, -46, 28, 0, 0, 8, -72, 24, 0, 0, 200, 56, -264, 0, 0, -126, -40, -20, 0, 0, 16, 24, -84, 0, 0, 18, 200, -24, 0, 0, -24, 48, 66, 0, 0, 112, -36, 6, 0, 0, -24, 14, 96, 0, 0, 18, -22, 40, 0, 0, -38, -18, 68, 0, 0, 108, 96, -54, 0, 0, 144, -52], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 59670
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.2.i.b', 'target_level': 70, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 59671
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.2.i.b', 'target_level': 70, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 59672
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.2.i.b', 'target_level': 70, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 59673
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.2.i.b', 'target_level': 70, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 59674
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '350.2.e.c', 'target_level': 350, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 59675
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '350.2.e.c', 'target_level': 350, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 59676
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '350.2.e.j', 'target_level': 350, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 59677
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '350.2.e.j', 'target_level': 350, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 59678
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.2.c.a', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 59679
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.2.c.a', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 59680
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '490.2.c.d', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 59681
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '490.2.c.d', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 59682
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.2.i.a', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 59683
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.2.i.a', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 59684
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.2.i.a', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 59685
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.2.i.a', 'target_level': 490, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 59686
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '560.2.bw.d', 'target_level': 560, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 59687
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '560.2.bw.d', 'target_level': 560, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 59688
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '560.2.bw.d', 'target_level': 560, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 59689
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '560.2.bw.d', 'target_level': 560, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 59690
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '630.2.u.a', 'target_level': 630, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 59691
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '630.2.u.a', 'target_level': 630, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 59692
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '630.2.u.a', 'target_level': 630, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 59693
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '630.2.u.a', 'target_level': 630, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 59694
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2450.2.a.j', 'target_level': 2450, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 59695
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2450.2.a.k', 'target_level': 2450, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 59696
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2450.2.a.ba', 'target_level': 2450, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 59697
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.2.i.b', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2450.2.a.bb', 'target_level': 2450, 'twist_class_label': '70.2.i.b', 'twist_class_level': 70, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 220575
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 2}
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id: 220576
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416738886, 'p': 3}
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id: 220577
{'charpoly_factorization': [[[25, -20, 11, -4, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 5}
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id: 220578
{'charpoly_factorization': [[[49, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 7}
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id: 220579
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 11}
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id: 220580
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 13}
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id: 220581
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 17}
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id: 220582
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 19}
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id: 220583
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 23}
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id: 220584
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 4504149416738886, 'p': 29}
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id: 220585
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 31}
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id: 220586
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 37}
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id: 220587
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 4504149416738886, 'p': 41}
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id: 220588
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 43}
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id: 220589
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 47}
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id: 220590
{'charpoly_factorization': [[[6561, 0, -81, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 53}
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id: 220591
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 59}
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id: 220592
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 61}
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id: 220593
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 67}
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id: 220594
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 4504149416738886, 'p': 71}
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id: 220595
{'charpoly_factorization': [[[65536, 0, -256, 0, 1], 1]], 'hecke_orbit_code': 4504149416738886, 'p': 73}
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id: 220596
{'charpoly_factorization': [[[196, -14, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 79}
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id: 220597
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 83}
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id: 220598
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 89}
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id: 220599
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 4504149416738886, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '70.2.i.b', 'level': 70, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 90039000
{'hecke_orbit_code': 4504149416738886, 'n': 1, 'trace_an': 4}
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id: 90039001
{'hecke_orbit_code': 4504149416738886, 'n': 2, 'trace_an': 0}
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id: 90039002
{'hecke_orbit_code': 4504149416738886, 'n': 3, 'trace_an': 0}
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id: 90039003
{'hecke_orbit_code': 4504149416738886, 'n': 4, 'trace_an': 2}
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id: 90039004
{'hecke_orbit_code': 4504149416738886, 'n': 5, 'trace_an': 4}
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id: 90039005
{'hecke_orbit_code': 4504149416738886, 'n': 6, 'trace_an': 0}
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id: 90039006
{'hecke_orbit_code': 4504149416738886, 'n': 7, 'trace_an': 0}
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id: 90039007
{'hecke_orbit_code': 4504149416738886, 'n': 8, 'trace_an': 0}
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id: 90039008
{'hecke_orbit_code': 4504149416738886, 'n': 9, 'trace_an': -6}
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id: 90039009
{'hecke_orbit_code': 4504149416738886, 'n': 10, 'trace_an': -2}
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id: 90039010
{'hecke_orbit_code': 4504149416738886, 'n': 11, 'trace_an': -6}
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id: 90039011
{'hecke_orbit_code': 4504149416738886, 'n': 12, 'trace_an': 0}
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id: 90039012
{'hecke_orbit_code': 4504149416738886, 'n': 13, 'trace_an': 0}
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id: 90039013
{'hecke_orbit_code': 4504149416738886, 'n': 14, 'trace_an': -10}
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id: 90039014
{'hecke_orbit_code': 4504149416738886, 'n': 15, 'trace_an': 0}
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id: 90039015
{'hecke_orbit_code': 4504149416738886, 'n': 16, 'trace_an': -2}
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id: 90039016
{'hecke_orbit_code': 4504149416738886, 'n': 17, 'trace_an': 0}
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id: 90039017
{'hecke_orbit_code': 4504149416738886, 'n': 18, 'trace_an': 0}
-
id: 90039018
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