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mf_newforms • Show schema
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{'Nk2': 3600, 'analytic_conductor': 7.186536181915234, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [900, 6, [451, 101, 577], [6, 2, 3]], 'cm_discs': [], 'conrey_index': 49, 'dim': 16, 'field_disc': 1333317747165888577536, 'field_disc_factorization': [[2, 16], [3, 8], [1327, 4]], 'field_poly': [256, 0, 192, 0, 80, 0, 60, 0, 45, 0, 15, 0, 5, 0, 3, 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': [[7, [1, 0, -136, 0, 18190, 0, -41542, 0, 88603, 0, -11050, 0, 1063, 0, -37, 0, 1]], [11, [729, -1215, 1620, -837, 387, -45, 24, -3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512035866248068, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 729, 'hecke_ring_index_factorization': [[3, 6]], '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, 9, 3, 1, 3, 0], [1, 1, 45, 10, 1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '900.2.s.d', 'level': 900, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '900.2.i.d', 'nf_label': '16.0.1333317747165888577536.1', 'prim_orbit_index': 10, 'qexp_display': 'q+(\\beta _{3}-\\beta _{15})q^{3}+(\\beta _{3}+\\beta _{8}-\\beta _{9}-\\beta _{15})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '900.2.s', 'trace_display': [0, 0, 0, 0], 'trace_hash': 927684241117232733, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.648', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1597.809', 'prec': 27}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '385663.729', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.510', 'prec': 17}, 'traces': [16, 0, 0, 0, 0, 0, 0, 0, -10, 0, 6, 0, 0, 0, 0, 0, 0, 0, 16, 0, 26, 0, 0, 0, 0, 0, 0, 0, 18, 0, -4, 0, 0, 0, 0, 0, 0, 0, 34, 0, 18, 0, 0, 0, 0, 0, 0, 0, 18, 0, 6, 0, 0, 0, 0, 0, 0, 0, 30, 0, 2, 0, 0, 0, 0, 0, 0, 0, -18, 0, -48, 0, 0, 0, 0, 0, 0, 0, -14, 0, -62, 0, 0, 0, 0, 0, 0, 0, -12, 0, -44, 0, 0, 0, 0, 0, 0, 0, -66, 0, 24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 80, 0, 0, 0, 0, 0, 0, 0, 78, 0, 10, 0, 0, 0, 0, 0, 0, 0, 46, 0, 54, 0, 0, 0, 0, 0, 0, 0, -8, 0, 18, 0, 0, 0, 0, 0, 0, 0, 42, 0, 26, 0, 0, 0, 0, 0, 0, 0, -66, 0, -144, 0, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, -1, 0, -2, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, -6, 6, 0, 3, 0], [0, 0, 0, 0, 0, 6, 0, 6, 6, -6, -20, 0, 0, 0, 0, 12], [0, 0, 0, 0, 0, 2, 0, 2, -2, -2, 1, 0, 0, 4, 0, 0], [-11, -2, 7, 0, 6, 0, -11, 0, 0, 0, 0, 1, -3, 0, 2, 0], [0, 0, 0, 6, 0, 29, 0, 4, -2, -4, 29, 0, 0, 2, 0, -2], [0, 0, 0, 2, 0, 19, 0, 1, 3, 0, 1, 0, 0, -7, 0, -10], [10, 5, -5, 0, 10, 0, -5, 0, 0, 0, 0, -5, 2, 0, 7, 0], [0, 0, 0, 0, 0, -25, 0, -9, 1, 6, -25, 0, 0, -1, 0, 1], [0, 0, 0, 2, 0, 14, 0, 1, 6, 0, 1, 0, 0, -4, 0, -10], [0, 0, 0, -3, 0, -5, 0, -5, -2, 8, 13, 0, 0, -6, 0, -1], [0, -3, -3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 6, 0, -3, 0], [-4, -1, 1, 0, -2, 0, 1, 0, 0, 0, 0, 1, -4, 0, -5, 0], [4, 3, -2, 0, -1, 0, 21, 0, 0, 0, 0, 4, -4, 0, -2, 0], [0, 0, 0, 9, 0, 11, 0, -1, -4, 4, 11, 0, 0, 4, 0, -4], [-15, 2, -4, 0, -1, 0, -15, 0, 0, 0, 0, 1, 5, 0, -2, 0], [0, 0, 0, 3, 0, 2, 0, 2, 4, -5, 4, 0, 0, 1, 0, 0], [0, 0, 0, 7, 0, -11, 0, 0, 0, -7, -11, 0, 0, 0, 0, 0], [0, 0, 0, -4, 0, 4, 0, -2, -1, 0, -2, 0, 0, 3, 0, 4], [3, 5, -5, 0, -4, 0, 2, 0, 0, 0, 0, 2, -2, 0, -4, 0], [0, 0, 0, 6, 0, 3, 0, 3, 9, 0, 3, 0, 0, -3, 0, -12], [0, 0, 0, -3, 0, 5, 0, 5, -2, -2, -29, 0, 0, 4, 0, 9], [28, 10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, -5, 0], [0, 0, 0, 5, 0, 1, 0, 1, 10, -6, -3, 0, 0, -4, 0, 1]], 'char_orbit_index': 19, 'field_poly': [256, 0, 192, 0, 80, 0, 60, 0, 45, 0, 15, 0, 5, 0, 3, 0, 1], 'hecke_orbit_code': 13512035866248068, 'hecke_ring_character_values': [[451, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [101, [-1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [577, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2880, 2880, 1440, 2880, 5760, 960, 960, 5760, 5760, 5760, 720, 2880, 960, 1440, 1440], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, -2, 0, -1, 1, 0, -1, 0, 0, 0, 0, -1], [-1, 1, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 1, 0, 3, -2, -1, -2, 0, 0, 2, 0, 1], [-1, 1, 0, 0, 5, 0, -3, 0, 0, 0, 0, 1, -1, 0, 1, 0], [0, 0, 0, -4, 0, -15, 0, -3, -3, 4, -4, 0, 0, -1, 0, -1], [-17, -1, 4, 0, 1, 0, -11, 0, 0, 0, 0, -8, -7, 0, 1, 0], [0, 0, 0, -4, 0, 27, 0, -2, -6, 9, 4, 0, 0, -2, 0, 7], [-14, -16, 0, 0, -11, 0, 9, 0, 0, 0, 0, 8, -2, 0, 5, 0], [0, 0, 0, -33, 0, 5, 0, 1, 8, -10, -1, 0, 0, 1, 0, -4], [39, -3, -5, 0, 18, 0, -20, 0, 0, 0, 0, -7, 28, 0, -19, 0], [0, 0, 0, 27, 0, 14, 0, -31, 41, -14, 1, 0, 0, -36, 0, -41], [35, 5, -3, 0, -17, 0, 69, 0, 0, 0, 0, 8, 4, 0, -4, 0], [0, 0, 0, 100, 0, 79, 0, 89, -26, -99, 98, 0, 0, 90, 0, 71], [29, 115, -80, 0, 155, 0, -125, 0, 0, 0, 0, 15, 165, 0, 15, 0], [0, 0, 0, -32, 0, -521, 0, -33, 43, 80, -128, 0, 0, -115, 0, 37]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1792, 0, 880, 0, -540, 0, -525, 0, -495, 0, -165, 0, -35, 0, -1, 0], [4928, 0, 7600, 0, 1920, 0, 615, 0, 525, 0, 255, 0, 25, 0, -1, 0], [0, 352, 0, 140, 0, -30, 0, 15, 0, -75, 0, 15, 0, 5, 0, 1], [64, 0, -160, 0, 1920, 0, 495, 0, 165, 0, 135, 0, 65, 0, 7, 0], [0, 896, 0, 880, 0, -180, 0, 405, 0, 135, 0, 45, 0, -5, 0, -7], [-64, 0, 0, 0, 180, 0, 135, 0, 45, 0, 15, 0, 25, 0, 3, 0], [0, -2176, 0, -240, 0, -760, 0, -435, 0, -145, 0, -75, 0, -45, 0, -3], [0, 6592, 0, -3280, 0, -4620, 0, -765, 0, -255, 0, -405, 0, -115, 0, 31], [0, -1984, 0, -4640, 0, -4320, 0, -1725, 0, -1215, 0, -645, 0, -275, 0, -37], [0, -6784, 0, -4880, 0, -960, 0, -1245, 0, -735, 0, -165, 0, -35, 0, -37], [-992, 0, 320, 0, 180, 0, -375, 0, -45, 0, -15, 0, -25, 0, -11, 0], [2368, 0, 2960, 0, -180, 0, 525, 0, 495, 0, 165, 0, 35, 0, 49, 0], [0, 1792, 0, -360, 0, -190, 0, -75, 0, -25, 0, -75, 0, -5, 0, -9], [5056, 0, 800, 0, 150, 0, 645, 0, 375, 0, -75, 0, 35, 0, 43, 0], [0, 2192, 0, 460, 0, 285, 0, 585, 0, 195, 0, 45, 0, 55, 0, 26]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '900.2.s.d', 'level': 900, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3600, 'analytic_conductor': 7.186536181915234, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [900, 6, [451, 101, 577], [6, 2, 3]], 'conrey_index': 49, 'cusp_dim': 324, 'dim': 36, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1236984136580, 'hecke_orbit_dims': [4, 4, 12, 16], 'label': '900.2.s', 'level': 900, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 396, 'mf_new_dim': 36, 'num_forms': 4, 'prim_orbit_index': 10, 'relative_dim': 18, 'sturm_bound': 360, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 24, 0, -6, 0, 0, 0, 0, 0, 0, 0, 56, 0, -12, 0, 0, 0, 0, 0, 0, 0, 30, 0, 30, 0, 0, 0, 0, 0, 0, 0, 24, 0, -12, 0, 0, 0, 0, 0, 0, 0, -48, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, -36, 0, -24, 0, 0, 0, 0, 0, 0, 0, -108, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 66, 0, 6, 0, 0, 0, 0, 0, 0, 0, 56, 0, -36, 0, 0, 0, 0, 0, 0, 0, 18, 0, 24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 36, 0, 0, 0, 0, 0, 0, 0, -66, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, -240, 0, 72, 0, 0, 0, 0, 0, 0, 0, -118, 0, 30, 0, 0, 0, 0, 0, 0, 0, 36, 0, -56, 0, 0, 0, 0, 0, 0, 0, 102, 0, 18, 0, 0, 0, 0, 0, 0, 0, 128, 0, -102, 0, 0, 0, 0, 0, 0, 0, -24, 0, -144, 0, 0, 0, 0, 0, 0, 0, 12, 0, -18, 0, 0, 0, 0, 0, 0, 0, 48, 0, -96, 0, 0, 0, 0, 0, 0, 0, -42, 0, 12, 0, 0, 0, 0, 0, 0, 0, -144, 0, -72, 0, 0, 0, 0, 0, 0, 0, -142, 0, -108, 0, 0, 0, 0, 0, 0, 0, -96, 0, -62, 0, 0, 0, 0, 0, 0, 0, 114, 0, -48, 0, 0, 0, 0, 0, 0, 0, 194, 0, 102, 0, 0, 0, 0, 0, 0, 0, -12, 0, 42, 0, 0, 0, 0, 0, 0, 0, 162, 0, -30, 0, 0, 0, 0, 0, 0, 0, -66, 0, 204, 0, 0, 0, 0, 0, 0, 0, 12, 0, 76, 0, 0, 0, 0, 0, 0, 0, 48, 0, -84, 0, 0, 0, 0, 0, 0, 0, -30, 0, -12, 0, 0, 0, 0, 0, 0, 0, 84, 0, 82, 0, 0, 0, 0, 0, 0, 0, -36, 0, 96, 0, 0, 0, 0, 0, 0, 0, 40, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 48, 0, 0, 0, 0, 0, 0, 0, 66, 0, 132, 0, 0, 0, 0, 0, 0, 0, 114, 0, 156, 0, 0, 0, 0, 0, 0, 0, -6, 0, -72, 0, 0, 0, 0, 0, 0, 0, -408, 0, 72, 0, 0, 0, 0, 0, 0, 0, -66, 0, -54, 0, 0, 0, 0, 0, 0, 0, 168, 0, 64, 0, 0, 0, 0, 0, 0, 0, 66, 0, -24, 0, 0, 0, 0, 0, 0, 0, 278, 0, -6, 0, 0, 0, 0, 0, 0, 0, -66, 0, 192, 0, 0, 0, 0, 0, 0, 0, 66, 0, -126, 0, 0, 0, 0, 0, 0, 0, -18, 0, 216, 0, 0, 0, 0, 0, 0, 0, -6, 0, 204, 0, 0, 0, 0, 0, 0, 0, -12, 0, -96, 0, 0, 0, 0, 0, 0, 0, -100, 0, 162, 0, 0, 0, 0, 0, 0, 0, -12, 0, -102, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 2, 0, -150, 0, 0, 0, 0, 0, 0, 0, 42, 0, -24, 0, 0, 0, 0, 0, 0, 0, 84, 0, -6, 0, 0, 0, 0, 0, 0, 0, -78, 0, -144, 0, 0, 0, 0, 0, 0, 0, 60, 0, -42, 0, 0, 0, 0, 0, 0, 0, -252, 0, -96, 0, 0, 0, 0, 0, 0, 0, -12, 0, -138, 0, 0, 0, 0, 0, 0, 0, -156, 0, -226, 0, 0, 0, 0, 0, 0, 0, -42, 0, 102, 0, 0, 0, 0, 0, 0, 0, 80, 0, 36, 0, 0, 0, 0, 0, 0, 0, 84, 0, -132, 0, 0, 0, 0, 0, 0, 0, -42, 0, 90, 0, 0, 0, 0, 0, 0, 0, 306, 0, -12, 0, 0, 0, 0, 0, 0, 0, 144, 0, 40, 0, 0, 0, 0, 0, 0, 0, 108, 0, 360, 0, 0, 0, 0, 0, 0, 0, 64, 0, -138, 0, 0, 0, 0, 0, 0, 0, -132, 0, -16, 0, 0, 0, 0, 0, 0, 0, 246, 0, -78, 0, 0, 0, 0, 0, 0, 0, 228, 0, 18, 0, 0, 0, 0, 0, 0, 0, -102, 0, -318, 0, 0, 0, 0, 0, 0, 0, 132, 0, -162, 0, 0, 0, 0, 0, 0, 0, -450, 0, -240, 0, 0, 0, 0, 0, 0, 0, -12, 0, -72, 0, 0, 0, 0, 0, 0, 0, 48, 0, -324, 0, 0, 0, 0, 0, 0, 0, -182, 0, -78, 0, 0, 0, 0, 0, 0, 0, -372, 0, 76, 0, 0, 0, 0, 0, 0, 0, -324, 0, -210, 0, 0, 0, 0, 0, 0, 0, -154, 0, 294, 0, 0, 0, 0, 0, 0, 0, -54, 0, 402, 0, 0, 0, 0, 0, 0, 0, -126, 0, -36, 0, 0, 0, 0, 0, 0, 0, 144, 0, 336, 0, 0, 0, 0, 0, 0, 0, -78, 0, 198, 0, 0, 0, 0, 0, 0, 0, -144, 0, -240, 0, 0, 0, 0, 0, 0, 0, 168, 0, 108, 0, 0, 0, 0, 0, 0, 0, 24, 0, 154, 0, 0, 0, 0, 0, 0, 0, 48, 0, 204, 0, 0, 0, 0, 0, 0, 0, 98, 0, -132, 0, 0, 0, 0, 0, 0, 0, 66, 0, 270, 0, 0, 0, 0, 0, 0, 0, -348, 0, 108, 0, 0, 0, 0, 0, 0, 0, -102, 0, 132, 0, 0, 0, 0, 0, 0, 0, -126, 0, -332, 0, 0, 0, 0, 0, 0, 0, 384, 0, 528, 0, 0, 0, 0, 0, 0, 0, 158, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 562922
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '900.2.i.d', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 562923
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '900.2.i.d', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 562924
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '900.2.i.e', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 562925
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '900.2.i.e', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 562926
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.s.d', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 562927
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.s.d', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 562928
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.s.d', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 562929
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.s.d', 'target_level': 900, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 562930
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2700.2.i.d', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 562931
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2700.2.i.d', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 562932
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2700.2.i.e', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 562933
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2700.2.i.e', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 562934
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2700.2.s.d', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 562935
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2700.2.s.d', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 562936
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2700.2.s.d', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 562937
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 19, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2700.2.s.d', 'target_level': 2700, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 562938
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '8100.2.a.x', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 562939
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '8100.2.a.y', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 562940
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '8100.2.a.z', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 562941
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '8100.2.a.ba', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 562942
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '8100.2.d.q', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 562943
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '8100.2.d.q', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 562944
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8100.2.d.s', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 562945
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 16, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '900.2.s.d', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8100.2.d.s', 'target_level': 8100, 'twist_class_label': '900.2.i.d', 'twist_class_level': 900, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1468825
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13512035866248068, 'p': 2}
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id: 1468826
{'charpoly_factorization': [[[6561, 0, 3645, 0, 2268, 0, 1107, 0, 351, 0, 123, 0, 28, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 3}
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id: 1468827
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13512035866248068, 'p': 5}
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id: 1468828
{'charpoly_factorization': [[[1, 0, -136, 0, 18190, 0, -41542, 0, 88603, 0, -11050, 0, 1063, 0, -37, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 7}
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id: 1468829
{'charpoly_factorization': [[[729, -1215, 1620, -837, 387, -45, 24, -3, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 11}
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id: 1468830
{'charpoly_factorization': [[[3418801, 0, -2864101, 0, 1633915, 0, -493366, 0, 107587, 0, -13462, 0, 1186, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 13}
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id: 1468831
{'charpoly_factorization': [[[729, 0, 972, 0, 414, 0, 57, 0, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 17}
-
id: 1468832
{'charpoly_factorization': [[[-23, 80, -27, -4, 1], 4]], 'hecke_orbit_code': 13512035866248068, 'p': 19}
-
id: 1468833
{'charpoly_factorization': [[[531441, 0, -45762975, 0, 3936127608, 0, -393573249, 0, 30121875, 0, -796581, 0, 15336, 0, -147, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 23}
-
id: 1468834
{'charpoly_factorization': [[[1347921, -773226, 373896, -60858, 10755, -792, 141, -9, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 29}
-
id: 1468835
{'charpoly_factorization': [[[625, -925, 1819, 566, 373, 38, 22, 2, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 31}
-
id: 1468836
{'charpoly_factorization': [[[9409, 0, 8095, 0, 1761, 0, 79, 0, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 37}
-
id: 1468837
{'charpoly_factorization': [[[6561, 32805, 167670, -16767, 5589, -405, 126, -9, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 41}
-
id: 1468838
{'charpoly_factorization': [[[1874161, 0, -251583868, 0, 33758767378, 0, -1795716592, 0, 63920923, 0, -1313584, 0, 19810, 0, -172, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 43}
-
id: 1468839
{'charpoly_factorization': [[[996005996001, 0, -229418473878, 0, 38445734457, 0, -2825433414, 0, 150590340, 0, -3089286, 0, 46089, 0, -246, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 47}
-
id: 1468840
{'charpoly_factorization': [[[7733961, 0, 819477, 0, 26550, 0, 300, 0, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 53}
-
id: 1468841
{'charpoly_factorization': [[[101425041, -26466588, 5758290, -601722, 62487, -3546, 339, -15, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 59}
-
id: 1468842
{'charpoly_factorization': [[[100489, -98587, 72946, -23959, 6253, -547, 76, -1, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 61}
-
id: 1468843
{'charpoly_factorization': [[[66625573677601, 0, -6836704033420, 0, 489920603626, 0, -16997203558, 0, 421934407, 0, -5817454, 0, 57595, 0, -289, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 67}
-
id: 1468844
{'charpoly_factorization': [[[-729, -891, -72, 12, 1], 4]], 'hecke_orbit_code': 13512035866248068, 'p': 71}
-
id: 1468845
{'charpoly_factorization': [[[265225, 0, 73489, 0, 4974, 0, 124, 0, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 73}
-
id: 1468846
{'charpoly_factorization': [[[240033049, -13463417, 4427002, -10949, 46759, 79, 286, 7, 1], 2]], 'hecke_orbit_code': 13512035866248068, 'p': 79}
-
id: 1468847
{'charpoly_factorization': [[[187213570125201, 0, -16288548138657, 0, 962296116003, 0, -30383225550, 0, 691620363, 0, -8789742, 0, 79650, 0, -336, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 83}
-
id: 1468848
{'charpoly_factorization': [[[5913, 513, -243, 3, 1], 4]], 'hecke_orbit_code': 13512035866248068, 'p': 89}
-
id: 1468849
{'charpoly_factorization': [[[16354914662641, 0, -3995021326939, 0, 858921556924, 0, -26179887313, 0, 540730363, 0, -6554797, 0, 58108, 0, -295, 0, 1], 1]], 'hecke_orbit_code': 13512035866248068, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 4, 'label': '900.2.s.d', 'level': 900, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 37480153
{'hecke_orbit_code': 13512035866248068, 'n': 1, 'trace_an': 16}
-
id: 37480154
{'hecke_orbit_code': 13512035866248068, 'n': 2, 'trace_an': 0}
-
id: 37480155
{'hecke_orbit_code': 13512035866248068, 'n': 3, 'trace_an': 0}
-
id: 37480156
{'hecke_orbit_code': 13512035866248068, 'n': 4, 'trace_an': 0}
-
id: 37480157
{'hecke_orbit_code': 13512035866248068, 'n': 5, 'trace_an': 0}
-
id: 37480158
{'hecke_orbit_code': 13512035866248068, 'n': 6, 'trace_an': 0}
-
id: 37480159
{'hecke_orbit_code': 13512035866248068, 'n': 7, 'trace_an': 0}
-
id: 37480160
{'hecke_orbit_code': 13512035866248068, 'n': 8, 'trace_an': 0}
-
id: 37480161
{'hecke_orbit_code': 13512035866248068, 'n': 9, 'trace_an': -10}
-
id: 37480162
{'hecke_orbit_code': 13512035866248068, 'n': 10, 'trace_an': 0}
-
id: 37480163
{'hecke_orbit_code': 13512035866248068, 'n': 11, 'trace_an': 6}
-
id: 37480164
{'hecke_orbit_code': 13512035866248068, 'n': 12, 'trace_an': 0}
-
id: 37480165
{'hecke_orbit_code': 13512035866248068, 'n': 13, 'trace_an': 0}
-
id: 37480166
{'hecke_orbit_code': 13512035866248068, 'n': 14, 'trace_an': 0}
-
id: 37480167
{'hecke_orbit_code': 13512035866248068, 'n': 15, 'trace_an': 0}
-
id: 37480168
{'hecke_orbit_code': 13512035866248068, 'n': 16, 'trace_an': 0}
-
id: 37480169
{'hecke_orbit_code': 13512035866248068, 'n': 17, 'trace_an': 0}
-
id: 37480170
{'hecke_orbit_code': 13512035866248068, 'n': 18, 'trace_an': 0}
-
id: 37480171
{'hecke_orbit_code': 13512035866248068, 'n': 19, 'trace_an': 16}
-
id: 37480172
{'hecke_orbit_code': 13512035866248068, 'n': 20, 'trace_an': 0}
-
id: 37480173
{'hecke_orbit_code': 13512035866248068, 'n': 21, 'trace_an': 26}
-
id: 37480174
{'hecke_orbit_code': 13512035866248068, 'n': 22, 'trace_an': 0}
-
id: 37480175
{'hecke_orbit_code': 13512035866248068, 'n': 23, 'trace_an': 0}
-
id: 37480176
{'hecke_orbit_code': 13512035866248068, 'n': 24, 'trace_an': 0}
-
id: 37480177
{'hecke_orbit_code': 13512035866248068, 'n': 25, 'trace_an': 0}
-
id: 37480178
{'hecke_orbit_code': 13512035866248068, 'n': 26, 'trace_an': 0}
-
id: 37480179
{'hecke_orbit_code': 13512035866248068, 'n': 27, 'trace_an': 0}
-
id: 37480180
{'hecke_orbit_code': 13512035866248068, 'n': 28, 'trace_an': 0}
-
id: 37480181
{'hecke_orbit_code': 13512035866248068, 'n': 29, 'trace_an': 18}
-
id: 37480182
{'hecke_orbit_code': 13512035866248068, 'n': 30, 'trace_an': 0}
-
id: 37480183
{'hecke_orbit_code': 13512035866248068, 'n': 31, 'trace_an': -4}
-
id: 37480184
{'hecke_orbit_code': 13512035866248068, 'n': 32, 'trace_an': 0}
-
id: 37480185
{'hecke_orbit_code': 13512035866248068, 'n': 33, 'trace_an': 0}
-
id: 37480186
{'hecke_orbit_code': 13512035866248068, 'n': 34, 'trace_an': 0}
-
id: 37480187
{'hecke_orbit_code': 13512035866248068, 'n': 35, 'trace_an': 0}
-
id: 37480188
{'hecke_orbit_code': 13512035866248068, 'n': 36, 'trace_an': 0}
-
id: 37480189
{'hecke_orbit_code': 13512035866248068, 'n': 37, 'trace_an': 0}
-
id: 37480190
{'hecke_orbit_code': 13512035866248068, 'n': 38, 'trace_an': 0}
-
id: 37480191
{'hecke_orbit_code': 13512035866248068, 'n': 39, 'trace_an': 34}
-
id: 37480192
{'hecke_orbit_code': 13512035866248068, 'n': 40, 'trace_an': 0}
-
id: 37480193
{'hecke_orbit_code': 13512035866248068, 'n': 41, 'trace_an': 18}
-
id: 37480194
{'hecke_orbit_code': 13512035866248068, 'n': 42, 'trace_an': 0}
-
id: 37480195
{'hecke_orbit_code': 13512035866248068, 'n': 43, 'trace_an': 0}
-
id: 37480196
{'hecke_orbit_code': 13512035866248068, 'n': 44, 'trace_an': 0}
-
id: 37480197
{'hecke_orbit_code': 13512035866248068, 'n': 45, 'trace_an': 0}
-
id: 37480198
{'hecke_orbit_code': 13512035866248068, 'n': 46, 'trace_an': 0}
-
id: 37480199
{'hecke_orbit_code': 13512035866248068, 'n': 47, 'trace_an': 0}
-
id: 37480200
{'hecke_orbit_code': 13512035866248068, 'n': 48, 'trace_an': 0}
-
id: 37480201
{'hecke_orbit_code': 13512035866248068, 'n': 49, 'trace_an': 18}
-
id: 37480202
{'hecke_orbit_code': 13512035866248068, 'n': 50, 'trace_an': 0}
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