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mf_newforms • Show schema
Hide schema
{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [625, 5, [2], [2]], 'cm_discs': [], 'conrey_index': 126, 'conrey_indexes': [126, 251, 376, 501], 'dim': 16, 'field_disc': 37849603291259765625, 'field_disc_factorization': [[3, 8], [5, 12], [4861, 2]], 'field_poly': [1, 0, 1205, 0, 3809, 0, 4820, 0, 3166, 0, 1165, 0, 239, 0, 25, 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': [[2, [81, 405, 1593, 3240, 4113, 2790, 3906, 1815, 970, 435, 386, 245, 138, 50, 18, 5, 1]], [3, [841, -1450, 1832, -265, 933, -2330, 7744, -4880, 3320, -1130, 629, -80, 88, 10, 12, 0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043401720431217, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 25, 'hecke_ring_index_factorization': [[5, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 4, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '625.2.d.m', 'level': 625, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'minimal_twist': '625.2.a.e', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\beta _{1}+\\beta _{3}+\\beta _{4}-\\beta _{6})q^{2}+(\\beta _{2}-\\beta _{4}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '625.2.d', 'trace_display': [-5, 0, 0, 20], 'trace_hash': 1082218756253844972, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, 0, 1, -1, -1], [1, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, -1, 1, 0, 1, -1, 1, -1, 1, 2, 1, 0, 2, 1], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, -2, 1, -2, 0, -2, 1, -1, 1, 0, -1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 0, -1, -1, 0, -1, 3, 0, 2, 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, -1, -1, 0, -2, 1, 0, 0, -2, 0, 0, 0], [2, 0, 0, 1, 0, -2, -1, 1, -1, 2, 0, -2, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [1, 3, 0, 0, 2, 0, 0, 0, 1, 0, -1, 0, 1, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, -4, 0, 2, 0, 2, 0, 1, 0, -1, 0, -1, 0, 0], [0, 0, 1, 0, -2, -2, 0, 0, 0, 2, -1, -1, 0, 0, -1, -1], [1, 0, 2, 0, -5, -3, 0, 0, 0, 0, -1, -2, 0, 1, -2, 0], [0, 1, -1, 1, 1, 2, 1, -2, 2, -1, 1, 0, 1, 0, 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0, -5, 0, 11, -4, -6, 6, 0, 0, 0, 15, 2, 0, 15, 0], [11, -17, 7, 0, -10, -10, 3, -3, 0, 0, -7, 0, 5, 7, 0, 0], [-1, 12, 0, 3, 13, 1, -9, 0, 7, -1, -6, 0, 7, -8, 9, 8], [0, -15, 6, -15, -10, 5, 5, 2, -2, 10, -6, 9, 5, 0, -4, -6], [-9, 0, 0, -3, 9, -10, 6, 0, 4, 10, -5, 0, 4, -7, 3, 7], [13, 0, 1, 20, 0, -12, 0, -3, 0, 6, 0, 3, 0, 0, -1, -1], [-14, -9, 6, -2, -4, -1, 0, 9, -15, -12, -6, 1, -9, 6, -8, -6], [-15, 0, -11, -4, 0, 4, 2, 1, 2, -14, 0, 5, 0, -4, 11, 11], [-6, -6, 0, -9, 0, -6, 7, 0, 4, 6, -2, 0, 4, -6, 3, 6], [9, 17, -6, 4, 13, 7, 0, -5, 0, 5, 9, -7, 5, -6, 10, 9], [5, -5, 0, 2, -10, -6, 1, 0, -11, 6, 3, 0, -11, -8, -7, 8], [6, -12, 0, -6, -18, 9, -3, 0, 6, -9, 0, 0, 6, 0, -6, 0], [6, -8, 0, 0, -7, -8, 0, -2, 0, 6, 4, 8, 2, 0, 0, 4], [7, -6, 0, -1, -13, -13, -1, 0, 4, 13, -9, 0, 4, -4, -5, 4], [5, 1, 5, 12, 25, -6, 0, -8, 4, -7, 3, 6, 8, 5, 7, 3], [7, 21, -11, 0, 6, 2, -4, 4, 0, 0, 4, 4, -1, -4, 4, 0], [-5, 0, -4, -11, 0, 1, -1, 10, -1, 13, 0, 9, 0, -8, 4, 4], [-10, 0, 1, -8, 0, 11, 5, 3, 5, 4, 0, -6, 0, 3, -1, -1], [-18, -4, 0, -14, 14, 22, 9, 0, 10, -22, 9, 0, 10, -8, 10, 8], [0, 4, -8, 4, -21, 1, -10, 0, 0, 21, 8, 4, -10, 0, -4, -1], [0, -4, 1, -4, 17, 8, -7, 10, -10, -17, -1, 3, -7, 0, 5, 0], [18, 0, 2, 2, 0, -16, -11, 15, -11, 24, 0, 1, 0, 8, -2, -2], [-7, 16, -3, 0, 9, 13, -9, 9, 0, 0, 3, -4, 4, -3, -4, 0], [-11, -9, 0, -1, 2, 12, -12, 0, -4, -12, 2, 0, -4, 1, -8, -1], [0, 1, -1, 1, -8, 0, -7, 0, 0, 8, 1, 0, -7, 0, -15, -10], [-8, 0, 6, -4, -2, 10, 0, -4, 6, -4, 5, -10, 4, 6, -10, 5], [5, 0, 7, -1, 0, 2, -7, 3, -7, 18, 0, 0, 0, -2, -7, -7], [-17, 0, 2, -12, 0, 19, -2, 6, -2, 13, 0, -1, 0, 1, -2, -2], [-6, 0, 0, -14, 1, 14, 0, -8, 6, 8, -7, -14, 8, 0, -14, -7], [19, -4, 14, 7, -12, 3, 0, -13, 14, 12, -3, -3, 13, 14, -7, -3], [0, -5, 3, -5, -1, -2, 10, -5, 5, 1, -3, 2, 10, 0, -13, -2], [5, 10, 10, 5, -17, 15, 0, -7, 11, 0, -10, -15, 7, 10, -5, -10], [1, 15, 0, -3, 14, 17, 5, 0, 7, -17, -2, 0, 7, -1, 18, 1], [0, 10, -9, 10, 9, -7, 5, -3, 3, -9, 9, -1, 5, 0, 23, 5], [1, 0, -5, 5, 0, -6, 4, 3, 4, -5, 0, -10, 0, -5, 5, 5], [19, -19, 4, -12, -23, -3, 0, -1, -10, 31, -3, 3, 1, 4, -16, -3]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1205, 0, 3809, 0, 4820, 0, 3166, 0, 1165, 0, 239, 0, 25, 0, 1], 'hecke_orbit_code': 54043401720431217, 'hecke_ring_character_values': [[2, [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 801, 801, 1602, 534, 534, 1602, 1602, 1602, 534, 1602, 1602, 801, 1602, 1602, 1602], 'hecke_ring_inverse_denominators': [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 2, 4, 3, 4, -1, -3, 2, -4, -1, -3, 1, 3, -1, -4], [-3, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0], [3, -26, -13, -28, -38, -21, 4, 12, -8, 34, 14, 25, -4, -12, 1, 26], [18, -5, 3, 0, -15, -4, 1, -1, 0, 0, 9, -11, -2, -9, -11, 0], [-55, 222, 113, 206, 392, 156, -9, -77, 68, -316, -159, -232, 34, 67, 6, -226], [-155, 74, -41, 0, 171, 62, -19, 19, 0, 0, -84, 109, 21, 84, 109, 0], [677, -2074, -1092, -1742, -3972, -1419, -44, 648, -692, 3096, 1681, 2295, -346, -503, -111, 2184], [1509, -849, 460, 0, -1801, -719, 237, -237, 0, 0, 820, -1082, -194, -820, -1082, 0], [-7385, 20398, 10912, 16254, 40288, 13919, 1009, -6143, 7152, -31024, -17331, -23183, 3576, 4493, 1359, -21824], [-15185, 9022, -4864, 0, 18523, 7666, -2603, 2603, 0, 0, -8194, 10857, 1830, 8194, 10857, 0], [77143, -204916, -110253, -159378, -409253, -139891, -12581, 60927, -73508, 313664, 177119, 235480, -36754, -43387, -14974, 220506], [154077, -93299, 50276, 0, -189096, -79388, 27286, -27286, 0, 0, 82728, -109708, -17847, -82728, -109708, 0], [-792740, 2074837, 1118423, 1596966, 4160247, 1416976, 137566, -614142, 751708, -3182446, -1804529, -2394777, 375854, 432317, 157931, -2236846], [-1566411, 955029, -514819, 0, 1925732, 813203, -280875, 280875, 0, 0, -838847, 1112529, 177854, 838847, 1112529, 0], [8095157, -21068004, -11362862, -16144612, -42303192, -14390294, -1439109, 6226073, -7665182, 32334926, 18364616, 24358560, -3832591, -4361108, -1632836, 22725724]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1474, 0, -12623, 0, -4230, 0, 15463, 0, 13949, 0, 4515, 0, 619, 0, 29, 0], [1601, 0, -25961, 0, -63150, 0, -52142, 0, -20887, 0, -4422, 0, -470, 0, -19, 0], [673, 70883, 12623, 237289, 4230, 297480, -15463, 183139, -13949, 59873, -4515, 10389, -619, 886, -29, 29], [431, 10906, -1224, 29676, -4869, 39643, -4282, 32176, -1388, 15210, -142, 3907, 6, 488, 1, 22], [431, -10906, -1224, -29676, -4869, -39643, -4282, -32176, -1388, -15210, -142, -3907, 6, -488, 1, -22], [-1556, 159574, -77159, 474718, -150381, 534120, -110467, 297029, -38668, 88283, -6717, 13968, -541, 1082, -16, 32], [1556, 159574, 77159, 474718, 150381, 534120, 110467, 297029, 38668, 88283, 6717, 13968, 541, 1082, 16, 32], [3891, 98578, -17926, 240239, -90759, 227865, -120384, 100622, -70055, 18841, -19770, 240, -2583, -316, -119, -23], [164, 17682, -1224, 91029, -4869, 161716, -4282, 136696, -1388, 60887, -142, 14429, 6, 1678, 1, 72], [-950, 89311, -138110, 221134, -371667, 217803, -377263, 116507, -185932, 38195, -46914, 7668, -5683, 833, -250, 35], [-21, 11052, -149932, 11761, -375897, -19152, -361800, -41577, -171983, -27682, -42399, -8280, -5064, -1113, -221, -52], [-2335, 0, 95085, 0, 241140, 0, 230851, 0, 108723, 0, 26487, 0, 3124, 0, 135, 0], [950, 89311, 138110, 221134, 371667, 217803, 377263, 116507, 185932, 38195, 46914, 7668, 5683, 833, 250, 35], [1634, -43770, -121014, -100789, -352830, -99777, -379880, -54951, -195717, -17948, -51003, -3441, -6320, -351, -282, -14], [2391, -55321, 245786, -285710, 665577, -489378, 689538, -394625, 346813, -168712, 88980, -38772, 10914, -4415, 484, -187]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '625.2.d.m', 'level': 625, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [625, 5, [2], [2]], 'conrey_index': 126, 'cusp_dim': 188, 'dim': 136, 'eis_dim': 120, 'eis_new_dim': 48, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 206191985265, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 16, 16, 16, 16, 16], 'label': '625.2.d', 'level': 625, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 308, 'mf_new_dim': 184, 'num_forms': 17, 'prim_orbit_index': 4, 'relative_dim': 34, 'sturm_bound': 125, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [136, 0, 0, -28, 0, 12, 0, 0, -22, 0, 12, 0, 0, 24, 0, -4, 0, 0, 0, 0, 12, 0, 0, -40, 0, -68, 0, 0, -20, 0, 12, 0, 0, 14, 0, -24, 0, 0, -24, 0, -8, 0, 0, -16, 0, 12, 0, 0, -8, 0, -48, 0, 0, 60, 0, -20, 0, 0, 0, 0, -8, 0, 0, 32, 0, -36, 0, 0, 36, 0, -28, 0, 0, -36, 0, -80, 0, 0, 0, 0, -14, 0, 0, 104, 0, 12, 0, 0, -10, 0, 12, 0, 0, -106, 0, -78, 0, 0, -64, 0, -108, 0, 0, 50, 0, -48, 0, 0, -60, 0, 72, 0, 0, -90, 0, 150, 0, 0, 44, 0, 98, 0, 0, 344, 0, 192, 0, 0, -54, 0, 72, 0, 0, -106, 0, -20, 0, 0, 60, 0, -18, 0, 0, 88, 0, 42, 0, 0, -100, 0, -128, 0, 0, 28, 0, 52, 0, 0, 116, 0, -118, 0, 0, -36, 0, -158, 0, 0, 18, 0, -60, 0, 0, 320, 0, -168, 0, 0, 60, 0, -48, 0, 0, -170, 0, 4, 0, 0, -30, 0, -28, 0, 0, 144, 0, -16, 0, 0, -80, 0, -88, 0, 0, -126, 0, -198, 0, 0, 60, 0, 12, 0, 0, 24, 0, 120, 0, 0, -114, 0, -108, 0, 0, -536, 0, 212, 0, 0, 110, 0, -46, 0, 0, 76, 0, 160, 0, 0, -90, 0, 162, 0, 0, -86, 0, 114, 0, 0, 336, 0, 232, 0, 0, -66, 0, 276, 0, 0, -6, 0, 0, 0, 0, 240, 0, -10, 0, 0, 0, 0, 132, 0, 0, -276, 0, 72, 0, 0, -64, 0, 42, 0, 0, 104, 0, -106, 0, 0, -38, 0, -238, 0, 0, -126, 0, 0, 0, 0, 256, 0, -88, 0, 0, 50, 0, 92, 0, 0, -94, 0, -148, 0, 0, -36, 0, -100, 0, 0, 40, 0, -158, 0, 0, -568, 0, -168, 0, 0, -46, 0, -158, 0, 0, 134, 0, 92, 0, 0, 136, 0, -16, 0, 0, -100, 0, -148, 0, 0, -100, 0, 80, 0, 0, 140, 0, -20, 0, 0, -100, 0, 206, 0, 0, -176, 0, 114, 0, 0, 6, 0, 102, 0, 0, 568, 0, 360, 0, 0, -180, 0, 102, 0, 0, -80, 0, 52, 0, 0, 120, 0, -88, 0, 0, 44, 0, 312, 0, 0, -640, 0, 172, 0, 0, 64, 0, 20, 0, 0, 130, 0, -228, 0, 0, -34, 0, -68, 0, 0, -250, 0, -88, 0, 0, 580, 0, -256, 0, 0, -38, 0, -148, 0, 0, -232, 0, -250, 0, 0, -60, 0, 86, 0, 0, 364, 0, -358, 0, 0, 180, 0, -216, 0, 0, -316, 0, -180, 0, 0, -10, 0, 62, 0, 0, 50, 0, 172, 0, 0, 154, 0, 162, 0, 0, -40, 0, 368, 0, 0, 120, 0, 192, 0, 0, 156, 0, 342, 0, 0, 6, 0, 162, 0, 0, 180, 0, 52, 0, 0, -320, 0, 832, 0, 0, -70, 0, 134, 0, 0, -240, 0, 242, 0, 0, 134, 0, 2, 0, 0, 36, 0, 222, 0, 0, -376, 0, 512, 0, 0, 58, 0, 320, 0, 0, -20, 0, -310, 0, 0, -106, 0, 12, 0, 0, -36, 0, 224, 0, 0, 956, 0, -320, 0, 0, 244, 0, -270, 0, 0, 146, 0, -106, 0, 0, -126, 0, -278, 0, 0, -20, 0, -248, 0, 0, -272, 0, -1024, 0, 0, -14, 0, -278, 0, 0, -20, 0, 2, 0, 0, 160, 0, 52, 0, 0, -360, 0, -250, 0, 0, 120, 0, -588, 0, 0, 184, 0, -196, 0, 0, -30, 0, 42, 0, 0, -456, 0, 40, 0, 0, 120, 0, -190, 0, 0, 976, 0, -1128, 0, 0, 104, 0, 12, 0, 0, 254, 0, -108, 0, 0, -94, 0, 162, 0, 0, -146, 0, 10, 0, 0, -360, 0, -736, 0, 0, 150, 0, 262, 0, 0, 280, 0, 162, 0, 0, -60, 0, -378, 0, 0, -394, 0, 44, 0, 0, -776, 0, -804, 0, 0, 194, 0, -318, 0, 0, -260, 0, -240, 0, 0, 256, 0, -198, 0, 0, 214, 0, -290, 0, 0, 376, 0, 212, 0, 0, -336, 0, 82, 0, 0, 150, 0, 60, 0, 0, 328, 0, 320, 0, 0, -70, 0, -78, 0, 0, 244, 0, 936, 0, 0, 398, 0, 122, 0, 0, -46, 0, 152, 0, 0, -170, 0, 290, 0, 0, 70, 0, 642, 0, 0, -96, 0, 472, 0, 0, -130, 0, 210, 0, 0, -88, 0, 142, 0, 0, 284, 0, 112, 0, 0, 470, 0, 242, 0, 0, -1544, 0, 1060, 0, 0, -210, 0, 84, 0, 0, 172, 0, -76, 0, 0, -354, 0, -78, 0, 0, 74, 0, -30, 0, 0, 424, 0, 20, 0, 0, -76, 0, -96, 0, 0, -140, 0, -158, 0, 0, -92, 0, -88, 0, 0, 186, 0, 22, 0, 0, 480, 0, -200, 0, 0, -120, 0, -188, 0, 0, 100, 0, 380, 0, 0, 160, 0, 126, 0, 0, -356, 0, -348, 0, 0, -664, 0, -8, 0, 0, -142, 0, -260, 0, 0, -160, 0, -126, 0, 0, -100, 0, -128, 0, 0, 150, 0, -68, 0, 0, 1040, 0, 592, 0, 0, -164, 0, 302, 0, 0, -206, 0, -268, 0, 0, 94, 0, -148, 0, 0, -20, 0, 160, 0, 0, -280, 0, -88, 0, 0, -40, 0, 74, 0, 0, 196, 0, -348, 0, 0, 314, 0, -360, 0, 0, -300, 0, -138, 0, 0, 328, 0, -248, 0, 0, 70, 0, 210, 0, 0, -576, 0, -80, 0, 0, -64, 0, -288, 0, 0, 80, 0, -76, 0, 0, -1084, 0, 312, 0, 0, -334, 0, -360, 0, 0, 14, 0, 398, 0, 0, 104, 0, 334, 0, 0, 0, 0, 32, 0, 0, 904, 0, 772, 0, 0, 270, 0, 150, 0, 0, 110, 0, 330, 0, 0, 76, 0, 322, 0, 0, -272, 0, -28, 0, 0, 320, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 420943
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '625.2.a.e', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 420944
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '625.2.a.g', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 420945
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '625.2.b.d', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 420946
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '625.2.d.m', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 420947
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '625.2.d.m', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 420948
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '625.2.d.n', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 420949
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '625.2.d.p', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 420950
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '625.2.d.q', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 420951
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '625.2.d.q', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 420952
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 32, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '625.2.e.j', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 420953
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 32, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '625.2.e.j', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 420954
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 32, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '625.2.e.k', 'target_level': 625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 420955
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '5625.2.a.s', 'target_level': 5625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 420956
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '5625.2.a.be', 'target_level': 5625, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 420957
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '10000.2.a.be', 'target_level': 10000, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 420958
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 16, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '625.2.d.m', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '10000.2.a.bn', 'target_level': 10000, 'twist_class_label': '625.2.a.e', 'twist_class_level': 625, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1136550
{'charpoly_factorization': [[[81, 405, 1593, 3240, 4113, 2790, 3906, 1815, 970, 435, 386, 245, 138, 50, 18, 5, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 2}
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id: 1136551
{'charpoly_factorization': [[[841, -1450, 1832, -265, 933, -2330, 7744, -4880, 3320, -1130, 629, -80, 88, 10, 12, 0, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 3}
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id: 1136552
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 54043401720431217, 'p': 5}
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id: 1136553
{'charpoly_factorization': [[[1, -45, 124, 25, -154, 35, 24, -10, 1], 2]], 'hecke_orbit_code': 54043401720431217, 'p': 7}
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id: 1136554
{'charpoly_factorization': [[[5861241, -16385328, 19780605, -2164995, 12605040, 5307021, 5429607, 2373270, 710620, 108785, 24642, 3839, 870, 95, 35, 3, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 11}
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id: 1136555
{'charpoly_factorization': [[[130321, 274360, 303962, 173090, 485798, 38840, 158844, 61795, 19245, 4820, 7824, 3685, 1358, 280, 47, 5, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 13}
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id: 1136556
{'charpoly_factorization': [[[2595321, -1232415, 39565233, 92277765, 111919923, 90619560, 53925156, 24635340, 8903620, 2601035, 625726, 125650, 21228, 2975, 328, 25, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 17}
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id: 1136557
{'charpoly_factorization': [[[110775625, -21839375, 99383125, -82848750, 41848250, -13488875, 7356625, -1906625, 377650, -101225, 50875, -13300, 3105, -560, 95, -10, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 19}
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id: 1136558
{'charpoly_factorization': [[[2124195921, 4685177295, 5220032202, 3759649830, 2031308928, 883325655, 323714394, 99518220, 25994520, 5456970, 951399, 143775, 19593, 2115, 192, 15, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 23}
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id: 1136559
{'charpoly_factorization': [[[3717950625, -3690511875, 1789627500, -299716875, 131083875, 2838375, 11956500, -490500, 867775, -8050, 33225, 650, 1455, 20, 50, 0, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 29}
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id: 1136560
{'charpoly_factorization': [[[576048001, 3792566017, 10580270825, 10669728770, 6098881050, 2121671131, 623574112, 114847250, 22677655, 2737025, 428512, 36344, 5450, 480, 100, 8, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 31}
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id: 1136561
{'charpoly_factorization': [[[6561, 262440, 34665408, -214520400, 560915928, -599786910, 275052456, -913335, 2406295, -655815, 315491, 8480, 12153, 410, 183, 5, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 37}
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id: 1136562
{'charpoly_factorization': [[[237782041641, 107904008007, 74183892930, 4432400865, 820028700, 525849066, 1146824022, 165256620, 63060310, -1317900, 773822, 26954, 12270, 785, 150, 8, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 41}
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id: 1136563
{'charpoly_factorization': [[[-1949, 11580, -1449, -5685, 1946, 180, -99, 0, 1], 2]], 'hecke_orbit_code': 54043401720431217, 'p': 43}
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id: 1136564
{'charpoly_factorization': [[[3244555521, 8104980690, 11797315848, 9132741495, 4578678558, -473755860, 284776056, 11481390, 4930870, 967210, 335026, 21830, 7218, 805, 88, 5, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 47}
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id: 1136565
{'charpoly_factorization': [[[3606201, 2221830, 30149577, -46612665, 33483573, 40125735, 77579169, 40657770, 9872920, -3694380, 647144, 128890, 28968, 2560, 222, 10, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 53}
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id: 1136566
{'charpoly_factorization': [[[50625, 1366875, 101688750, -87885000, 48868875, -16170750, 18460125, 1339875, 1083400, 406400, 83925, -6400, 1755, 1040, 200, 15, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 59}
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id: 1136567
{'charpoly_factorization': [[[10718253841, -5767290003, 23921798870, 8510237470, 6010603220, 761099591, 283433982, -9649295, 31671930, -8368045, 1391122, -43336, 2305, -270, 155, -17, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 61}
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id: 1136568
{'charpoly_factorization': [[[3049560197401, 2257833634575, 1243858799983, 529123690015, 191720421868, 55168061595, 12888941956, 2312311140, 325770145, 34251860, 3025006, 211090, 20753, 850, 73, 10, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 67}
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id: 1136569
{'charpoly_factorization': [[[280529001, 1155731247, 12212246070, 659727045, 186479370, 89297676, 211175607, -46768245, 23827855, 228305, 831667, -13211, 3105, 155, 130, 13, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 71}
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id: 1136570
{'charpoly_factorization': [[[56212142281, -7311886440, 151103630312, -153452964280, 149833868318, -79592144990, 29114236119, -7109517505, 1155467595, -102633455, 4973239, -305540, 71083, -9750, 827, -40, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 73}
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id: 1136571
{'charpoly_factorization': [[[62262725625, 338543043750, 814876605000, 926405437500, 644244552000, 303058710000, 105033009750, 27155341875, 5364514525, 822924000, 99860000, 9570475, 724380, 42250, 1845, 55, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 79}
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id: 1136572
{'charpoly_factorization': [[[150377514648201, 93253463572050, 24710573788362, 1439876666340, 940557342168, 84030081480, 19522926744, 2416381545, 644383795, 63970370, 11159994, 794645, 96258, 5930, 377, 15, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 83}
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id: 1136573
{'charpoly_factorization': [[[3419818025625, -1908590495625, 1759354711875, -255559488750, 50336520750, -1073710125, 6017766750, 1245969750, 301677775, 39480275, 5667750, 461600, 41730, 590, -40, 0, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 89}
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id: 1136574
{'charpoly_factorization': [[[945602601241, -769248218365, 1488032904098, -182173235935, 154763804098, 20154111320, 4147447456, 305774040, 187622820, -6927690, 893296, 3800, 23818, -6025, 728, -40, 1], 1]], 'hecke_orbit_code': 54043401720431217, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 13, 'label': '625.2.d.m', 'level': 625, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 225273000
{'hecke_orbit_code': 54043401720431217, 'n': 1, 'trace_an': 16}
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id: 225273001
{'hecke_orbit_code': 54043401720431217, 'n': 2, 'trace_an': -5}
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id: 225273002
{'hecke_orbit_code': 54043401720431217, 'n': 3, 'trace_an': 0}
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id: 225273003
{'hecke_orbit_code': 54043401720431217, 'n': 4, 'trace_an': -3}
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id: 225273004
{'hecke_orbit_code': 54043401720431217, 'n': 5, 'trace_an': 0}
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id: 225273005
{'hecke_orbit_code': 54043401720431217, 'n': 6, 'trace_an': 7}
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id: 225273006
{'hecke_orbit_code': 54043401720431217, 'n': 7, 'trace_an': 20}
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id: 225273007
{'hecke_orbit_code': 54043401720431217, 'n': 8, 'trace_an': -5}
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id: 225273008
{'hecke_orbit_code': 54043401720431217, 'n': 9, 'trace_an': -12}
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id: 225273009
{'hecke_orbit_code': 54043401720431217, 'n': 10, 'trace_an': 0}
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id: 225273010
{'hecke_orbit_code': 54043401720431217, 'n': 11, 'trace_an': -3}
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id: 225273011
{'hecke_orbit_code': 54043401720431217, 'n': 12, 'trace_an': 15}
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id: 225273012
{'hecke_orbit_code': 54043401720431217, 'n': 13, 'trace_an': -5}
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id: 225273013
{'hecke_orbit_code': 54043401720431217, 'n': 14, 'trace_an': -1}
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id: 225273014
{'hecke_orbit_code': 54043401720431217, 'n': 15, 'trace_an': 0}
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id: 225273015
{'hecke_orbit_code': 54043401720431217, 'n': 16, 'trace_an': 1}
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id: 225273016
{'hecke_orbit_code': 54043401720431217, 'n': 17, 'trace_an': -25}
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id: 225273017
{'hecke_orbit_code': 54043401720431217, 'n': 18, 'trace_an': -10}
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id: 225273018
{'hecke_orbit_code': 54043401720431217, 'n': 19, 'trace_an': 10}
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id: 225273019
{'hecke_orbit_code': 54043401720431217, 'n': 20, 'trace_an': 0}
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id: 225273020
{'hecke_orbit_code': 54043401720431217, 'n': 21, 'trace_an': 7}
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id: 225273021
{'hecke_orbit_code': 54043401720431217, 'n': 22, 'trace_an': -35}
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id: 225273022
{'hecke_orbit_code': 54043401720431217, 'n': 23, 'trace_an': -15}
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id: 225273023
{'hecke_orbit_code': 54043401720431217, 'n': 24, 'trace_an': 10}
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id: 225273024
{'hecke_orbit_code': 54043401720431217, 'n': 25, 'trace_an': 0}
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id: 225273025
{'hecke_orbit_code': 54043401720431217, 'n': 26, 'trace_an': 22}
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id: 225273026
{'hecke_orbit_code': 54043401720431217, 'n': 27, 'trace_an': 0}
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id: 225273027
{'hecke_orbit_code': 54043401720431217, 'n': 28, 'trace_an': 35}
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id: 225273028
{'hecke_orbit_code': 54043401720431217, 'n': 29, 'trace_an': 0}
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id: 225273029
{'hecke_orbit_code': 54043401720431217, 'n': 30, 'trace_an': 0}
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id: 225273030
{'hecke_orbit_code': 54043401720431217, 'n': 31, 'trace_an': -8}
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id: 225273031
{'hecke_orbit_code': 54043401720431217, 'n': 32, 'trace_an': 60}
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id: 225273032
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