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mf_newforms • Show schema
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{'Nk2': 9600, 'analytic_conductor': 35.40114600344437, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [600, 2, [151, 301, 401, 577], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, 0, 1]], [11, [-72, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029140683457112, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '600.4.f.i', 'level': 600, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+3iq^{3}+4iq^{7}-9q^{9}+72q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '600.4.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2221020613096408527, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.882', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.227', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.373', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.215', 'prec': 17}, {'__RealLiteral__': 0, 'data': '138.662', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 0, 0, -18, 0, 144, 0, 0, 0, 0, 0, 0, 0, -104, 0, -24, 0, 0, 0, 0, 0, 0, 0, 156, 0, 240, 0, 0, 0, 0, 0, 0, 0, -36, 0, 724, 0, 0, 0, 0, 0, 0, 0, 654, 0, -228, 0, 0, 0, 0, 0, 0, 0, -1392, 0, 444, 0, 0, 0, 0, 0, 0, 0, 912, 0, 192, 0, 0, 0, 0, 0, 0, 0, 1264, 0, 162, 0, 0, 0, 0, 0, 0, 0, -1988, 0, -48, 0, 0, 0, 0, 0, 0, 0, -1296, 0, 1780, 0, 0, 0, 0, 0, 0, 0, -892, 0, 900, 0, 0, 0, 0, 0, 0, 0, -304, 0, 7706, 0, 0, 0, 0, 0, 0, 0, -2904, 0, -1616, 0, 0, 0, 0, 0, 0, 0, 1848, 0, -1680, 0, 0, 0, 0, 0, 0, 0, 6396, 0, -6768, 0, 0, 0, 0, 0, 0, 0, -4020, 0, 1216, 0, 0, 0, 0, 0, 0, 0, 4322, 0, 936, 0, 0, 0, 0, 0, 0, 0, 1216, 0, 4492, 0, 0, 0, 0, 0, 0, 0, 216, 0, -7696, 0, 0, 0, 0, 0, 0, 0, 3984, 0, 24, 0, 0, 0, 0, 0, 0, 0, -7488, 0, 9528, 0, 0, 0, 0, 0, 0, 0, 1068, 0, -456, 0, 0, 0, 0, 0, 0, 0, 11172, 0, -1728, 0, 0, 0, 0, 0, 0, 0, -13680, 0, -12860, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [-9, 0], [0, 0], [72, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, 38], [0, 0], [-52, 0], [0, 0], [-12, 0], [0, 0], [0, -152], [0, 0], [0, 0], [0, 0], [0, -27], [0, 0], [78, 0], [0, 0], [120, 0], [0, 0], [0, 216], [0, 0], [0, 0], [0, 0], [0, -150], [0, 0], [-18, 0], [0, 0], [362, 0], [0, 0], [0, 484], [0, 0], [0, 0], [0, 0], [0, 280], [0, 0], [327, 0], [0, 0], [-114, 0], [0, 0], [0, 670], [0, 0], [0, 0], [0, 0], [0, -156], [0, 0], [-696, 0], [0, 0], [222, 0], [0, 0], [0, -36], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [456, 0], [0, 0], [96, 0], [0, 0], [0, -178], [0, 0], [0, 0], [0, 0], [0, 288], [0, 0], [632, 0], [0, 0], [81, 0], [0, 0], [0, 612], [0, 0], [0, 0], [0, 0], [0, 234], [0, 0], [-994, 0], [0, 0], [-24, 0], [0, 0], [0, 360], [0, 0], [0, 0], [0, 0], [0, 1634], [0, 0], [-648, 0], [0, 0]], 'ap': [[0, 0], [0, 3], [0, 0], [0, 4], [72, 0], [0, 6], [0, 38], [-52, 0], [0, -152], [78, 0], [120, 0], [0, -150], [362, 0], [0, 484], [0, 280], [0, 670], [-696, 0], [222, 0], [0, -4], [96, 0], [0, -178], [632, 0], [0, 612], [-994, 0], [0, 1634], [890, 0], [0, 524], [0, 932], [-446, 0], [0, 786], [0, 716], [-808, 0], [0, -1770], [924, 0], [3198, 0], [-3384, 0], [0, -3302], [0, -2252], [0, -184], [0, 2646], [608, 0], [2246, 0], [-3848, 0], [0, -2058], [0, -3838], [1992, 0], [4764, 0], [0, -4092], [0, 468], [5586, 0], [0, 1058], [-6840, 0], [-6430, 0], [-6352, 0], [0, 1422], [0, -7224], [-3186, 0], [-256, 0], [0, -5942], [3202, 0], [0, -3940], [0, -1826], [0, 6580], [-5728, 0], [0, 1742], [0, 8746], [-2564, 0], [0, -4166], [0, -9444], [9218, 0], [0, 4698], [6056, 0], [0, -8228], [0, -5954], [-5284, 0], [0, -9832], [222, 0], [0, 12098], [-5958, 0], [-1930, 0], [-4744, 0], [1614, 0], [9296, 0], [0, 3494], [12584, 0], [0, 12852], [-14458, 0], [0, -4310], [5338, 0], [0, -1156], [0, 5948], [-6888, 0], [0, 2892], [4096, 0], [-11060, 0], [0, 9648], [10062, 0], [-7966, 0], [0, -7668], [6590, 0], [0, -4700], [0, -15766], [0, -22788], [3358, 0], [-11444, 0], [0, -10622], [0, -6588], [0, 11362], [-1624, 0], [-14950, 0], [0, 8244], [0, -6698], [0, 22670], [10060, 0], [10240, 0], [13218, 0], [0, 23412], [0, -15264], [0, -1482], [18920, 0], [-24218, 0], [0, -890], [0, 29250], [0, -14580], [23668, 0], [32402, 0], [30626, 0], [-13440, 0], [0, -24820], [0, -21986], [-4420, 0], [0, -34560], [-24792, 0], [0, -2166], [-10622, 0], [-29826, 0], [0, -6386], [0, 3516], [0, -25030], [-7962, 0], [-34668, 0], [250, 0], [0, 6388], [0, 3932], [25906, 0], [9944, 0], [0, 14630], [0, 478], [-24132, 0], [0, -15776], [0, -33542], [22858, 0], [0, -2764], [0, 6216], [0, -18884], [-15232, 0], [-7744, 0], [-22266, 0], [0, 16202], [-53494, 0], [0, -2332], [0, -15414], [0, 35012], [11360, 0], [0, -24586], [0, -8832], [-22912, 0], [0, -10974]], 'char_orbit_index': 6, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 36029140683457112, 'hecke_ring_character_values': [[151, [1, 0]], [301, [1, 0]], [401, [1, 0]], [577, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '600.4.f.i', 'level': 600, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 9600, 'analytic_conductor': 35.40114600344437, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [600, 2, [151, 301, 401, 577], [2, 2, 2, 1]], 'conrey_index': 49, 'cusp_dim': 336, 'dim': 26, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 343664493144, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '600.4.f', 'level': 600, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 384, 'mf_new_dim': 26, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 26, 'sturm_bound': 480, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [26, 0, 0, 0, 0, 0, 0, 0, -234, 0, 56, 0, 0, 0, 0, 0, 0, 0, -92, 0, -84, 0, 0, 0, 0, 0, 0, 0, 556, 0, 492, 0, 0, 0, 0, 0, 0, 0, -24, 0, -1012, 0, 0, 0, 0, 0, 0, 0, 42, 0, 612, 0, 0, 0, 0, 0, 0, 0, 440, 0, -136, 0, 0, 0, 0, 0, 0, 0, 552, 0, 1536, 0, 0, 0, 0, 0, 0, 0, -592, 0, 2106, 0, 0, 0, 0, 0, 0, 0, -5340, 0, 1484, 0, 0, 0, 0, 0, 0, 0, -504, 0, 4124, 0, 0, 0, 0, 0, 0, 0, -3168, 0, -2100, 0, 0, 0, 0, 0, 0, 0, 13528, 0, 6786, 0, 0, 0, 0, 0, 0, 0, 3780, 0, -4752, 0, 0, 0, 0, 0, 0, 0, -4168, 0, -1176, 0, 0, 0, 0, 0, 0, 0, -5652, 0, -14684, 0, 0, 0, 0, 0, 0, 0, 2460, 0, 15752, 0, 0, 0, 0, 0, 0, 0, -9058, 0, 828, 0, 0, 0, 0, 0, 0, 0, 3080, 0, -4416, 0, 0, 0, 0, 0, 0, 0, 756, 0, -15368, 0, 0, 0, 0, 0, 0, 0, 12428, 0, 1452, 0, 0, 0, 0, 0, 0, 0, -25384, 0, -2804, 0, 0, 0, 0, 0, 0, 0, -3900, 0, 13952, 0, 0, 0, 0, 0, 0, 0, 9520, 0, 360, 0, 0, 0, 0, 0, 0, 0, 31936, 0, 3656, 0, 0, 0, 0, 0, 0, 0, 16032, 0, -25440, 0, 0, 0, 0, 0, 0, 0, -28296, 0, -5004, 0, 0, 0, 0, 0, 0, 0, -11876, 0, -3840, 0, 0, 0, 0, 0, 0, 0, -4428, 0, 3748, 0, 0, 0, 0, 0, 0, 0, -5550, 0, 16200, 0, 0, 0, 0, 0, 0, 0, 27800, 0, 1276, 0, 0, 0, 0, 0, 0, 0, 18888, 0, 13224, 0, 0, 0, 0, 0, 0, 0, -19056, 0, -7704, 0, 0, 0, 0, 0, 0, 0, -24952, 0, 16120, 0, 0, 0, 0, 0, 0, 0, -37404, 0, -45096, 0, 0, 0, 0, 0, 0, 0, 9732, 0, 216, 0, 0, 0, 0, 0, 0, 0, 61904, 0, -45618, 0, 0, 0, 0, 0, 0, 0, 9108, 0, 3680, 0, 0, 0, 0, 0, 0, 0, -39268, 0, -3144, 0, 0, 0, 0, 0, 0, 0, 9284, 0, 13456, 0, 0, 0, 0, 0, 0, 0, -12876, 0, 50780, 0, 0, 0, 0, 0, 0, 0, 23864, 0, 27924, 0, 0, 0, 0, 0, 0, 0, 49616, 0, -48276, 0, 0, 0, 0, 0, 0, 0, 55608, 0, 584, 0, 0, 0, 0, 0, 0, 0, -68844, 0, -378, 0, 0, 0, 0, 0, 0, 0, -98588, 0, -1536, 0, 0, 0, 0, 0, 0, 0, -5508, 0, -15204, 0, 0, 0, 0, 0, 0, 0, 73716, 0, -11040, 0, 0, 0, 0, 0, 0, 0, -36472, 0, 66480, 0, 0, 0, 0, 0, 0, 0, 54684, 0, 23440, 0, 0, 0, 0, 0, 0, 0, -29564, 0, -24240, 0, 0, 0, 0, 0, 0, 0, -82244, 0, 93736, 0, 0, 0, 0, 0, 0, 0, -63420, 0, 26500, 0, 0, 0, 0, 0, 0, 0, 52230, 0, -3960, 0, 0, 0, 0, 0, 0, 0, 50768, 0, -40224, 0, 0, 0, 0, 0, 0, 0, 1224, 0, -1736, 0, 0, 0, 0, 0, 0, 0, 27300, 0, -10608, 0, 0, 0, 0, 0, 0, 0, -97380, 0, -25300, 0, 0, 0, 0, 0, 0, 0, -55296, 0, 32712, 0, 0, 0, 0, 0, 0, 0, 122572, 0, 17964, 0, 0, 0, 0, 0, 0, 0, 64864, 0, 47632, 0, 0, 0, 0, 0, 0, 0, -216, 0, -57960, 0, 0, 0, 0, 0, 0, 0, -1676, 0, -4968, 0, 0, 0, 0, 0, 0, 0, 97032, 0, -44724, 0, 0, 0, 0, 0, 0, 0, -13824, 0, 47212, 0, 0, 0, 0, 0, 0, 0, -28624, 0, 16020, 0, 0, 0, 0, 0, 0, 0, 156768, 0, -170644, 0, 0, 0, 0, 0, 0, 0, 52164, 0, 14472, 0, 0, 0, 0, 0, 0, 0, -193708, 0, -11496, 0, 0, 0, 0, 0, 0, 0, -50824, 0, 202904, 0, 0, 0, 0, 0, 0, 0, -65292, 0, 60836, 0, 0, 0, 0, 0, 0, 0, 1488, 0, 5328, 0, 0, 0, 0, 0, 0, 0, -42184, 0, 103824, 0, 0, 0, 0, 0, 0, 0, -18954, 0, -167352, 0, 0, 0, 0, 0, 0, 0, 6008, 0, -57876, 0, 0, 0, 0, 0, 0, 0, -142736, 0, -121648, 0, 0, 0, 0, 0, 0, 0, 8976, 0, -101972, 0, 0, 0, 0, 0, 0, 0, 4096, 0, 105948, 0, 0, 0, 0, 0, 0, 0, 53968, 0, 3968, 0, 0, 0, 0, 0, 0, 0, 76128, 0, 173856, 0, 0, 0, 0, 0, 0, 0, 26384, 0, 48060, 0, 0, 0, 0, 0, 0, 0, -174620, 0, 76092, 0, 0, 0, 0, 0, 0, 0, -13356, 0, -158380, 0, 0, 0, 0, 0, 0, 0, 223044, 0, -77400, 0, 0, 0, 0, 0, 0, 0, -59592, 0, -144026, 0, 0, 0, 0, 0, 0, 0, -17796, 0, -291312, 0, 0, 0, 0, 0, 0, 0, 168264, 0, -66480, 0, 0, 0, 0, 0, 0, 0, 6592, 0, 3756, 0, 0, 0, 0, 0, 0, 0, -88908, 0, 127372, 0, 0, 0, 0, 0, 0, 0, 80416, 0, 4536, 0, 0, 0, 0, 0, 0, 0, 139048, 0, 81224, 0, 0, 0, 0, 0, 0, 0, -37116, 0, 236520, 0, 0, 0, 0, 0, 0, 0, 45644, 0, 11268, 0, 0, 0, 0, 0, 0, 0, 95116, 0, 18240, 0, 0, 0, 0, 0, 0, 0, -37488, 0, -88748, 0, 0, 0, 0, 0, 0, 0, -60848, 0, -149244, 0, 0, 0, 0, 0, 0, 0, 127272, 0, -42778, 0, 0, 0, 0, 0, 0, 0, -3912, 0, -228568, 0, 0, 0, 0, 0, 0, 0, -173312, 0, 28512, 0, 0, 0, 0, 0, 0, 0, -19688, 0, -136916, 0, 0, 0, 0, 0, 0, 0, 18900, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 410331
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.4.a.a', 'target_level': 120, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 410332
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '240.4.a.h', 'target_level': 240, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 410333
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '360.4.a.l', 'target_level': 360, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 410334
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '600.4.a.l', 'target_level': 600, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 410335
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '600.4.f.i', 'target_level': 600, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 410336
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '600.4.f.i', 'target_level': 600, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 410337
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '720.4.a.v', 'target_level': 720, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 410338
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '960.4.a.o', 'target_level': 960, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 410339
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '960.4.a.bf', 'target_level': 960, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 410340
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1200.4.a.k', 'target_level': 1200, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 410341
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.4.f.a', 'target_level': 1200, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 410342
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.4.f.a', 'target_level': 1200, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 410343
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1800.4.a.n', 'target_level': 1800, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 410344
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1800.4.f.a', 'target_level': 1800, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 410345
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '600.4.f.i', 'source_level': 600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1800.4.f.a', 'target_level': 1800, 'twist_class_label': '120.4.a.a', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1105475
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 2}
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id: 1105476
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 3}
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id: 1105477
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 5}
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id: 1105478
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 7}
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id: 1105479
{'charpoly_factorization': [[[-72, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 11}
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id: 1105480
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 13}
-
id: 1105481
{'charpoly_factorization': [[[1444, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 17}
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id: 1105482
{'charpoly_factorization': [[[52, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 19}
-
id: 1105483
{'charpoly_factorization': [[[23104, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 23}
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id: 1105484
{'charpoly_factorization': [[[-78, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 29}
-
id: 1105485
{'charpoly_factorization': [[[-120, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 31}
-
id: 1105486
{'charpoly_factorization': [[[22500, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 37}
-
id: 1105487
{'charpoly_factorization': [[[-362, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 41}
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id: 1105488
{'charpoly_factorization': [[[234256, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 43}
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id: 1105489
{'charpoly_factorization': [[[78400, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 47}
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id: 1105490
{'charpoly_factorization': [[[448900, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 53}
-
id: 1105491
{'charpoly_factorization': [[[696, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 59}
-
id: 1105492
{'charpoly_factorization': [[[-222, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 61}
-
id: 1105493
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 67}
-
id: 1105494
{'charpoly_factorization': [[[-96, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 71}
-
id: 1105495
{'charpoly_factorization': [[[31684, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 73}
-
id: 1105496
{'charpoly_factorization': [[[-632, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 79}
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id: 1105497
{'charpoly_factorization': [[[374544, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 83}
-
id: 1105498
{'charpoly_factorization': [[[994, 1], 2]], 'hecke_orbit_code': 36029140683457112, 'p': 89}
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id: 1105499
{'charpoly_factorization': [[[2669956, 0, 1], 1]], 'hecke_orbit_code': 36029140683457112, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 9, 'label': '600.4.f.i', 'level': 600, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 52091983
{'hecke_orbit_code': 36029140683457112, 'n': 1, 'trace_an': 2}
-
id: 52091984
{'hecke_orbit_code': 36029140683457112, 'n': 2, 'trace_an': 0}
-
id: 52091985
{'hecke_orbit_code': 36029140683457112, 'n': 3, 'trace_an': 0}
-
id: 52091986
{'hecke_orbit_code': 36029140683457112, 'n': 4, 'trace_an': 0}
-
id: 52091987
{'hecke_orbit_code': 36029140683457112, 'n': 5, 'trace_an': 0}
-
id: 52091988
{'hecke_orbit_code': 36029140683457112, 'n': 6, 'trace_an': 0}
-
id: 52091989
{'hecke_orbit_code': 36029140683457112, 'n': 7, 'trace_an': 0}
-
id: 52091990
{'hecke_orbit_code': 36029140683457112, 'n': 8, 'trace_an': 0}
-
id: 52091991
{'hecke_orbit_code': 36029140683457112, 'n': 9, 'trace_an': -18}
-
id: 52091992
{'hecke_orbit_code': 36029140683457112, 'n': 10, 'trace_an': 0}
-
id: 52091993
{'hecke_orbit_code': 36029140683457112, 'n': 11, 'trace_an': 144}
-
id: 52091994
{'hecke_orbit_code': 36029140683457112, 'n': 12, 'trace_an': 0}
-
id: 52091995
{'hecke_orbit_code': 36029140683457112, 'n': 13, 'trace_an': 0}
-
id: 52091996
{'hecke_orbit_code': 36029140683457112, 'n': 14, 'trace_an': 0}
-
id: 52091997
{'hecke_orbit_code': 36029140683457112, 'n': 15, 'trace_an': 0}
-
id: 52091998
{'hecke_orbit_code': 36029140683457112, 'n': 16, 'trace_an': 0}
-
id: 52091999
{'hecke_orbit_code': 36029140683457112, 'n': 17, 'trace_an': 0}
-
id: 52092000
{'hecke_orbit_code': 36029140683457112, 'n': 18, 'trace_an': 0}
-
id: 52092001
{'hecke_orbit_code': 36029140683457112, 'n': 19, 'trace_an': -104}
-
id: 52092002
{'hecke_orbit_code': 36029140683457112, 'n': 20, 'trace_an': 0}
-
id: 52092003
{'hecke_orbit_code': 36029140683457112, 'n': 21, 'trace_an': -24}
-
id: 52092004
{'hecke_orbit_code': 36029140683457112, 'n': 22, 'trace_an': 0}
-
id: 52092005
{'hecke_orbit_code': 36029140683457112, 'n': 23, 'trace_an': 0}
-
id: 52092006
{'hecke_orbit_code': 36029140683457112, 'n': 24, 'trace_an': 0}
-
id: 52092007
{'hecke_orbit_code': 36029140683457112, 'n': 25, 'trace_an': 0}
-
id: 52092008
{'hecke_orbit_code': 36029140683457112, 'n': 26, 'trace_an': 0}
-
id: 52092009
{'hecke_orbit_code': 36029140683457112, 'n': 27, 'trace_an': 0}
-
id: 52092010
{'hecke_orbit_code': 36029140683457112, 'n': 28, 'trace_an': 0}
-
id: 52092011
{'hecke_orbit_code': 36029140683457112, 'n': 29, 'trace_an': 156}
-
id: 52092012
{'hecke_orbit_code': 36029140683457112, 'n': 30, 'trace_an': 0}
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id: 52092013
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