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mf_newforms • Show schema
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{'Nk2': 2401, 'analytic_conductor': 11.272650097372699, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [49, 6, [3], [5]], 'cm_discs': [], 'conrey_index': 19, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [144, -12, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805903241265, 'hecke_ring_generator_nbound': 3, '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, 7, 4, -1, 6, 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': '49.7.d.b', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '7.7.d.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 4, 'qexp_display': 'q+12\\zeta_{6}q^{2}+(7+7\\zeta_{6})q^{3}+(-80+80\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '6.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.7.d', 'trace_display': [12, 21, -315, 0], 'trace_hash': 2047658637908789028, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.359', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.498', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.913', 'prec': 17}, 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mf_hecke_nf • Show schema
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'hecke_ring_rank': 2, 'label': '49.7.d.b', 'level': 49, 'maxp': 997, 'weight': 7}
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mf_newspaces • Show schema
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{'Nk2': 2401, 'analytic_conductor': 11.272650097372699, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [49, 6, [3], [5]], 'conrey_index': 19, 'cusp_dim': 48, 'dim': 36, 'eis_dim': 16, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206275870769, 'hecke_orbit_dims': [2, 2, 4, 4, 24], 'label': '49.7.d', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 64, 'mf_new_dim': 44, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 18, 'sturm_bound': 32, 'trace_bound': 2, 'trace_display': [-9, 3, -165, 0], 'traces': [36, -9, 3, -601, -165, 0, 0, 1770, 3187, -2580, 565, -5964, 0, 0, 32114, -21757, -8229, -1429, -29985, 0, 0, 103508, -18391, -28872, 6015, -33768, 0, 0, 43584, 888, 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-2542477200, 4350860009, 212508576, 0, 0, -23710810342, -11268244764, 3703472727, -8843093944, -2301099948, 0, 0, -10043198552, 4150245881, -1975917804, 8728414212, -3300550800, 0, 0, 2669463568, 2404756910, 2672615235, -17561445466, 654011658, 0, 0, 14645884272, -4241521821, 373349592, 3318641808, 1692108012, 0, 0, 23530490328, 1990321393, -412758855, 356766648, 1479573483, 0, 0, 11261897268, 4889209192, 69322200, -5920300479, -1428684876, 0, 0, -8227312784, 999857078, -805427697, 10257112712, 1889046690, 0, 0, -34578835872, -6847355750, -3282546240, -7727603095, -949754736, 0, 0, -19944851446, 19346695872, -1410315057, 15407541510, 2123358633, 0], 'weight': 7, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 40422
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.7.d.a', 'target_level': 7, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 40423
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.7.d.a', 'target_level': 7, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 7}
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id: 40424
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.7.b.a', 'target_level': 49, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 7}
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id: 40425
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.7.b.a', 'target_level': 49, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 7}
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id: 40426
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.7.d.b', 'target_level': 49, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 7}
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id: 40427
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.7.d.b', 'target_level': 49, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 7}
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id: 40428
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '63.7.m.a', 'target_level': 63, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 7}
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id: 40429
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '63.7.m.a', 'target_level': 63, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 7}
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id: 40430
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.7.s.a', 'target_level': 112, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 7}
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id: 40431
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.7.s.a', 'target_level': 112, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 7}
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id: 40432
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.7.d.a', 'target_level': 441, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 7}
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id: 40433
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.7.d.b', 'source_level': 49, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.7.d.a', 'target_level': 441, 'twist_class_label': '7.7.d.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 7}
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mf_hecke_charpolys • Show schema
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id: 164475
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 2}
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id: 164476
{'charpoly_factorization': [[[147, -21, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 3}
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id: 164477
{'charpoly_factorization': [[[33075, 315, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 5}
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id: 164478
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805903241265, 'p': 7}
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id: 164479
{'charpoly_factorization': [[[2187441, 1479, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 11}
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id: 164480
{'charpoly_factorization': [[[235200, 0, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 13}
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id: 164481
{'charpoly_factorization': [[[9114147, -5229, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 17}
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id: 164482
{'charpoly_factorization': [[[47258883, 11907, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 19}
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id: 164483
{'charpoly_factorization': [[[34963569, -5913, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 23}
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id: 164484
{'charpoly_factorization': [[[-3978, 1], 2]], 'hecke_orbit_code': 4503805903241265, 'p': 29}
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id: 164485
{'charpoly_factorization': [[[164235603, -22197, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 31}
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id: 164486
{'charpoly_factorization': [[[3791726929, -61577, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 37}
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id: 164487
{'charpoly_factorization': [[[12226636800, 0, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 41}
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id: 164488
{'charpoly_factorization': [[[17414, 1], 2]], 'hecke_orbit_code': 4503805903241265, 'p': 43}
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id: 164489
{'charpoly_factorization': [[[940188627, -53109, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 47}
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id: 164490
{'charpoly_factorization': [[[3661823169, -60513, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 53}
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id: 164491
{'charpoly_factorization': [[[46538854803, -373653, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 59}
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id: 164492
{'charpoly_factorization': [[[26486008563, 281883, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 61}
-
id: 164493
{'charpoly_factorization': [[[72241075729, -268777, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 67}
-
id: 164494
{'charpoly_factorization': [[[-101922, 1], 2]], 'hecke_orbit_code': 4503805903241265, 'p': 71}
-
id: 164495
{'charpoly_factorization': [[[100898977347, 550179, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 73}
-
id: 164496
{'charpoly_factorization': [[[131211297361, 362231, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 79}
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id: 164497
{'charpoly_factorization': [[[46995076800, 0, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 83}
-
id: 164498
{'charpoly_factorization': [[[1781061603363, -2311533, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 89}
-
id: 164499
{'charpoly_factorization': [[[2292467116800, 0, 1], 1]], 'hecke_orbit_code': 4503805903241265, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '49.7.d.b', 'level': 49, 'portrait': 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', 'weight': 7}
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mf_hecke_traces • Show schema
Hide schema
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id: 21799171
{'hecke_orbit_code': 4503805903241265, 'n': 1, 'trace_an': 2}
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id: 21799172
{'hecke_orbit_code': 4503805903241265, 'n': 2, 'trace_an': 12}
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id: 21799173
{'hecke_orbit_code': 4503805903241265, 'n': 3, 'trace_an': 21}
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id: 21799174
{'hecke_orbit_code': 4503805903241265, 'n': 4, 'trace_an': -80}
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id: 21799175
{'hecke_orbit_code': 4503805903241265, 'n': 5, 'trace_an': -315}
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id: 21799176
{'hecke_orbit_code': 4503805903241265, 'n': 6, 'trace_an': 0}
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id: 21799177
{'hecke_orbit_code': 4503805903241265, 'n': 7, 'trace_an': 0}
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id: 21799178
{'hecke_orbit_code': 4503805903241265, 'n': 8, 'trace_an': -384}
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id: 21799179
{'hecke_orbit_code': 4503805903241265, 'n': 9, 'trace_an': -582}
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id: 21799180
{'hecke_orbit_code': 4503805903241265, 'n': 10, 'trace_an': -3780}
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