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mf_newforms • Show schema
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{'Nk2': 116, 'analytic_conductor': 0.2315661658617131, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 7, 'char_parity': 1, 'char_values': [29, 7, [2], [3]], 'cm_discs': [], 'conrey_index': 7, 'dim': 6, 'field_disc': -16807, 'field_disc_factorization': [[-1, 1], [7, 5]], 'field_poly': [1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 14, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 206191984669, '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, 29, 4, 1, 7, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '29.2.d.a', 'level': 29, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [29], 'level_radical': 29, 'minimal_twist': '29.2.d.a', 'nf_label': '6.0.16807.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(-1+\\zeta_{14}+\\zeta_{14}^{3}-\\zeta_{14}^{4}+\\zeta_{14}^{5})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '29.2.d', 'trace_display': [-2, -5, 1, 1], 'trace_hash': 684183239011479837, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.923', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '98.784', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
Hide schema
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'conrey_index': 20, 'dual_conrey_index': 16, 'dual_embedding_index': 1, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 0.7818314824680298, 'embedding_root_real': -0.6234898018587335, 'hecke_orbit': 1, 'hecke_orbit_code': 206191984669, 'label': '29.2.d.a.20.1', 'level': 29, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 116, 'analytic_conductor': 0.2315661658617131, 'char_conductor': 29, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 7, 'char_parity': 1, 'char_values': [29, 7, [2], [3]], 'conrey_index': 7, 'cusp_dim': 6, 'dim': 6, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_cutter_primes': [], 'hecke_orbit_code': 206191984669, 'hecke_orbit_dims': [6], 'label': '29.2.d', 'level': 29, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [29], 'level_radical': 29, 'mf_dim': 18, 'mf_new_dim': 18, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 1, 'sturm_bound': 5, 'trace_bound': 0, 'trace_display': [-2, -5, 1, 1], 'traces': [6, -2, -5, -2, 1, -3, 1, -7, 6, 9, -11, 4, -5, 9, 5, 4, 8, -9, 1, 2, 5, 6, -7, 7, -24, 4, -11, -12, 6, -18, 5, -13, 1, 2, -1, 5, 11, 2, 3, 14, 20, -4, 13, 20, 1, 0, 11, 6, -22, 1, -2, 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mf_twists_cc • Show schema
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id: 1784425
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 20, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984669, 'target_is_minimal': True, 'target_label': '29.2.d.a.20.1', 'target_level': 29, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 1784426
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 136, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322053, 'target_is_minimal': False, 'target_label': '261.2.k.a.136.1', 'target_level': 261, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 1784427
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519372559942096, 'target_is_minimal': False, 'target_label': '464.2.u.f.49.1', 'target_level': 464, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1784428
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504767892030165, 'target_is_minimal': False, 'target_label': '725.2.r.b.49.2', 'target_level': 725, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 1784429
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892030165, 'target_is_minimal': False, 'target_label': '725.2.r.b.49.1', 'target_level': 725, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1784430
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 426, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169749, 'target_is_minimal': False, 'target_label': '725.2.l.b.426.1', 'target_level': 725, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 1784431
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 196, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832713, 'target_is_minimal': False, 'target_label': '841.2.e.b.196.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 1784432
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 267, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166203209, 'target_is_minimal': False, 'target_label': '841.2.e.c.267.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1784433
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407753, 'target_is_minimal': False, 'target_label': '841.2.a.f.1.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 1784434
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 645, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985481, 'target_is_minimal': False, 'target_label': '841.2.d.a.645.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 1784435
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 778, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726473, 'target_is_minimal': False, 'target_label': '841.2.d.c.778.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 1784436
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 574, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355977, 'target_is_minimal': False, 'target_label': '841.2.d.b.574.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 1784437
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 236, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832713, 'target_is_minimal': False, 'target_label': '841.2.e.b.236.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 1784438
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 605, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985481, 'target_is_minimal': False, 'target_label': '841.2.d.a.605.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 1784439
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 840, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268007773001, 'target_is_minimal': False, 'target_label': '841.2.b.c.840.3', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 1784440
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 651, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573705, 'target_is_minimal': False, 'target_label': '841.2.e.d.651.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 1784441
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 270, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573705, 'target_is_minimal': False, 'target_label': '841.2.e.d.270.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 1784442
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 190, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074096969, 'target_is_minimal': False, 'target_label': '841.2.d.d.190.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 1784443
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 63, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203209, 'target_is_minimal': False, 'target_label': '841.2.e.c.63.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 1784444
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 63, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166203209, 'target_is_minimal': False, 'target_label': '841.2.e.c.63.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 1784445
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984669, 'target_is_minimal': True, 'target_label': '29.2.d.a.16.1', 'target_level': 29, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 1784446
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 270, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573705, 'target_is_minimal': False, 'target_label': '841.2.e.d.270.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 1784447
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 651, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573705, 'target_is_minimal': False, 'target_label': '841.2.e.d.651.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 1784448
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 840, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268007773001, 'target_is_minimal': False, 'target_label': '841.2.b.c.840.4', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 1784449
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 605, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467465, 'target_is_minimal': False, 'target_label': '841.2.d.e.605.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 1784450
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 236, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832713, 'target_is_minimal': False, 'target_label': '841.2.e.b.236.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 1784451
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 574, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726473, 'target_is_minimal': False, 'target_label': '841.2.d.c.574.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 1784452
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 778, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355977, 'target_is_minimal': False, 'target_label': '841.2.d.b.778.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 1784453
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 645, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467465, 'target_is_minimal': False, 'target_label': '841.2.d.e.645.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 1784454
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543037257, 'target_is_minimal': False, 'target_label': '841.2.a.e.1.2', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 1784455
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 267, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203209, 'target_is_minimal': False, 'target_label': '841.2.e.c.267.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 1784456
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 196, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832713, 'target_is_minimal': False, 'target_label': '841.2.e.b.196.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 1784457
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 571, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074096969, 'target_is_minimal': False, 'target_label': '841.2.d.d.571.1', 'target_level': 841, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 1784458
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444119441, 'target_is_minimal': False, 'target_label': '7569.2.a.p.1.2', 'target_level': 7569, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '87.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 1784459
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 190, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322053, 'target_is_minimal': False, 'target_label': '261.2.k.a.190.1', 'target_level': 261, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '87.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 1784460
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698860433, 'target_is_minimal': False, 'target_label': '7569.2.a.r.1.2', 'target_level': 7569, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '87.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 1784461
{'conductor': 116, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 161, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519372559942096, 'target_is_minimal': False, 'target_label': '464.2.u.f.161.1', 'target_level': 464, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '116.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 1784462
{'conductor': 145, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169749, 'target_is_minimal': False, 'target_label': '725.2.l.b.451.1', 'target_level': 725, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '145.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 1784463
{'conductor': 145, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 74, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504767892030165, 'target_is_minimal': False, 'target_label': '725.2.r.b.74.2', 'target_level': 725, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '145.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 1784464
{'conductor': 145, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 20, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984669, 'source_is_minimal': True, 'source_label': '29.2.d.a.20.1', 'source_level': 29, 'target_conrey_index': 74, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892030165, 'target_is_minimal': False, 'target_label': '725.2.r.b.74.1', 'target_level': 725, 'twist_class_label': '29.2.d.a.16.1', 'twist_class_level': 29, 'twisting_char_label': '145.132', 'twisting_conrey_index': 132, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 109025
{'charpoly_factorization': [[[1, -3, 2, 1, 4, 2, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 2}
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id: 109026
{'charpoly_factorization': [[[1, 3, 9, 13, 11, 5, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 3}
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id: 109027
{'charpoly_factorization': [[[1, -1, 1, 13, 15, -1, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 5}
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id: 109028
{'charpoly_factorization': [[[1, -1, 1, 13, 15, -1, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 7}
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id: 109029
{'charpoly_factorization': [[[1681, 1927, 1089, 365, 79, 11, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 11}
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id: 109030
{'charpoly_factorization': [[[1849, -1075, 513, 181, 25, 5, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 13}
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id: 109031
{'charpoly_factorization': [[[8, -4, -4, 1], 2]], 'hecke_orbit_code': 206191984669, 'p': 17}
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id: 109032
{'charpoly_factorization': [[[169, 13, 29, -15, 1, -1, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 19}
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id: 109033
{'charpoly_factorization': [[[2401, 2401, 1029, 245, 49, 7, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 23}
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id: 109034
{'charpoly_factorization': [[[24389, -5046, -377, 316, -13, -6, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 29}
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id: 109035
{'charpoly_factorization': [[[6889, -2075, 1885, -139, -3, -5, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 31}
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id: 109036
{'charpoly_factorization': [[[1681, -1927, 1089, -365, 79, -11, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 37}
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id: 109037
{'charpoly_factorization': [[[-8, 24, -10, 1], 2]], 'hecke_orbit_code': 206191984669, 'p': 41}
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id: 109038
{'charpoly_factorization': [[[169, -13, 337, -265, 85, -13, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 43}
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id: 109039
{'charpoly_factorization': [[[57121, -2151, 1257, -295, 65, -11, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 47}
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id: 109040
{'charpoly_factorization': [[[1, 9, 417, -41, -5, -3, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 53}
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id: 109041
{'charpoly_factorization': [[[728, 252, 28, 1], 2]], 'hecke_orbit_code': 206191984669, 'p': 59}
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id: 109042
{'charpoly_factorization': [[[169, -117, -3, -13, 37, -3, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 61}
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id: 109043
{'charpoly_factorization': [[[169, 767, 1017, -167, 235, -19, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 67}
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id: 109044
{'charpoly_factorization': [[[35721, 11907, 3969, -945, 189, -21, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 71}
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id: 109045
{'charpoly_factorization': [[[175561, 90085, 22425, 3473, 373, 25, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 73}
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id: 109046
{'charpoly_factorization': [[[729, -2187, 2025, -27, 81, 9, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 79}
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id: 109047
{'charpoly_factorization': [[[28561, -22139, 8089, -1693, 219, -17, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 83}
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id: 109048
{'charpoly_factorization': [[[8281, -9555, 6321, -1337, 119, -7, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 89}
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id: 109049
{'charpoly_factorization': [[[169, 1105, 4761, -1849, 211, -1, 1], 1]], 'hecke_orbit_code': 206191984669, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '29.2.d.a', 'level': 29, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 6531078
{'hecke_orbit_code': 206191984669, 'n': 1, 'trace_an': 6}
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id: 6531079
{'hecke_orbit_code': 206191984669, 'n': 2, 'trace_an': -2}
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id: 6531080
{'hecke_orbit_code': 206191984669, 'n': 3, 'trace_an': -5}
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id: 6531081
{'hecke_orbit_code': 206191984669, 'n': 4, 'trace_an': -2}
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id: 6531082
{'hecke_orbit_code': 206191984669, 'n': 5, 'trace_an': 1}
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id: 6531083
{'hecke_orbit_code': 206191984669, 'n': 6, 'trace_an': -3}
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