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mf_newforms • Show schema
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{'Nk2': 392, 'analytic_conductor': 1.840432668958808, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [8, 2, [7, 5], [1, 1]], 'cm_discs': [-8], 'conrey_index': 3, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-46, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206275870728, 'hecke_ring_generator_nbound': 1, '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, 8, 4, -1, 2, -8]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '8.7.d.a', 'level': 8, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '8.7.d.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 4, 'qexp_display': 'q-8q^{2}+46q^{3}+2^{6}q^{4}-368q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '6.2.1.d2', 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '8.7.d', 'trace_display': [-8, 46, 0, 0], 'trace_hash': 277415033308930478, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.851', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.389', 'prec': 17}], 'trace_zratio': 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mf_hecke_nf • Show schema
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{'an': [[1], [-8], [46], [64], [0], [-368], [0], [-512], [1387], [0], [-2338], [2944], [0], [0], [0], [4096], [-1726], [-11096], [-2482], [0], [0], [18704], [0], [-23552], [15625], [0], [30268], [0], [0], [0], [0], [-32768], [-107548], [13808], [0], [88768], [0], [19856], [0], [0], [134642], [0], [-74914], [-149632], [0], [0], [0], [188416], [117649], [-125000], [-79396], [0], [0], [-242144], [0], [0], [-114172], [0], [304958], [0], [0], [0], [0], [262144], [0], [860384], [-596626], [-110464], [0], [0], [0], [-710144], [-593134], [0], [718750], [-158848], [0], [0], [0], [0], [381205], [-1077136], [678926], [0], [0], [599312], [0], [1197056], [-357262], [0], [0], [0], [0], [0], [0], [-1507328], [1822754], [-941192], [-3242806], [1000000]], 'ap': [[-8], [46], [0], [0], [-2338], [0], [-1726], [-2482], [0], [0], [0], [0], [134642], [-74914], [0], [0], [304958], [0], [-596626], [0], [-593134], [0], [678926], [-357262], [1822754], [0], [0], [474014], [0], [-2812894], [0], [-2953618], [-80206], [-3198562], [0], [0], [0], [-7720594], [0], [0], [3228878], [0], [0], [-10010014], [0], [0], [18642062], [0], [19770734], [0], [11062226], [0], [-26501758], [-13119298], [-18972286], [0], [0], [0], [0], [42896882], [19150526], [0], [5971214], [0], [9063506], [0], [-4598818], [53642594], [-47202946], [0], [-65221054], [0], [0], [0], [27215678], [0], [0], [0], [-79934398], [130355858], [134918318], [0], [0], [-132005374], [0], [159916286], [125702498], [135636914], [0], [0], [22205774], [0], [0], [-87364258], [83246798], [0], [0], [-198899278], [-263548834], [0], [150087854], [0], [203361806], [-362708782], [358714622], [-1997566], [-297401506], [268860386], [0], [-226861198], [0], [0], [344190674], [468505118], [0], [-482153758], [283407086], [0], [0], [312918158], [0], [-241386334], [0], [-493943074], [-655966258], [0], [0], [0], [0], [0], [494166638], [0], [0], [0], [286986962], [698978018], [0], [-926584306], [0], [-853142542], [345583262], [0], [0], [-579438466], [0], [0], [0], [-911768686], [815877758], [0], [0], [374798882], [-1348946674], [0], [-805321186], [0], [0], [-1555005022], [1520998994], [0], [1692176654], [384033746], [0], [-1830970978], [-1563432766], [0], [0], [0]], 'char_orbit_index': 4, 'field_poly': [0, 1], 'hecke_orbit_code': 206275870728, 'hecke_ring_character_values': [[7, [-1]], [5, [-1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8.7.d.a', 'level': 8, 'maxp': 997, 'weight': 7}
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mf_newspaces • Show schema
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{'Nk2': 392, 'analytic_conductor': 1.840432668958808, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [8, 2, [7, 5], [1, 1]], 'conrey_index': 3, 'cusp_dim': 5, 'dim': 5, 'eis_dim': 2, 'eis_new_dim': 2, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 206275870728, 'hecke_orbit_dims': [1, 4], 'label': '8.7.d', 'level': 8, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 7, 'mf_new_dim': 7, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 5, 'sturm_bound': 7, 'trace_bound': 1, 'trace_display': [-6, -2, 0, 0], 'traces': [5, -6, -2, 20, 0, 28, 0, -264, 727, -1920, -1362, 4312, 0, 5760, 0, -10480, 2442, -21506, -3938, 31680, 0, 43132, 0, -61808, -8275, -59520, 32860, 59520, 0, 90240, 0, -81696, -23500, 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mf_twists_nf • Show schema
Hide schema
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id: 4465
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 4, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '8.7.d.a', 'target_level': 8, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 7}
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id: 4466
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -8, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 4, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '8.7.d.a', 'target_level': 8, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 7}
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id: 4467
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 4, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '32.7.d.a', 'target_level': 32, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 4468
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 4, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '32.7.d.a', 'target_level': 32, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 4469
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '72.7.b.a', 'target_level': 72, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 4470
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '72.7.b.a', 'target_level': 72, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 7}
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id: 4471
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.7.c.d', 'target_level': 256, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 7}
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id: 4472
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.7.c.d', 'target_level': 256, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 7}
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id: 4473
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.7.b.a', 'target_level': 288, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 4474
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '8.7.d.a', 'source_level': 8, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.7.b.a', 'target_level': 288, 'twist_class_label': '8.7.d.a', 'twist_class_level': 8, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 7}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 32975
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 2}
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id: 32976
{'charpoly_factorization': [[[-46, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 3}
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id: 32977
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 5}
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id: 32978
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 7}
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id: 32979
{'charpoly_factorization': [[[2338, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 11}
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id: 32980
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 13}
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id: 32981
{'charpoly_factorization': [[[1726, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 17}
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id: 32982
{'charpoly_factorization': [[[2482, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 19}
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id: 32983
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 23}
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id: 32984
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 29}
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id: 32985
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 31}
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id: 32986
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 37}
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id: 32987
{'charpoly_factorization': [[[-134642, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 41}
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id: 32988
{'charpoly_factorization': [[[74914, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 43}
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id: 32989
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 47}
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id: 32990
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 53}
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id: 32991
{'charpoly_factorization': [[[-304958, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 59}
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id: 32992
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 61}
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id: 32993
{'charpoly_factorization': [[[596626, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 67}
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id: 32994
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 71}
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id: 32995
{'charpoly_factorization': [[[593134, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 73}
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id: 32996
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 79}
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id: 32997
{'charpoly_factorization': [[[-678926, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 83}
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id: 32998
{'charpoly_factorization': [[[357262, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 89}
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id: 32999
{'charpoly_factorization': [[[-1822754, 1], 1]], 'hecke_orbit_code': 206275870728, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '8.7.d.a', 'level': 8, 'portrait': 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', 'weight': 7}
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mf_hecke_traces • Show schema
Hide schema
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id: 7047852
{'hecke_orbit_code': 206275870728, 'n': 1, 'trace_an': 1}
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id: 7047853
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