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{'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8100, 1, [4051, 6401, 7777], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, '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, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, 1]], [11, [-1, 1]], [17, [-2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915674020, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8100.2.a.d', 'level': 8100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '1620.2.d.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{7}+q^{11}+2q^{17}-3q^{19}-4q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/8100/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8100.2.a', 'trace_display': [0, 0, 0, -2], 'trace_hash': 508824412414618182, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.055', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.008', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, 'traces': [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, -4, 0, 0, 0, 0, 0, -3, 0, 1, 0, 0, 0, 0, 0, 10, 0, 0, 0, 1, 0, 10, 0, 0, 0, 10, 0, -3, 0, 0, 0, -6, 0, 0, 0, 0, 0, -13, 0, -10, 0, 0, 0, 0, 0, 8, 0, 0, 0, 9, 0, -14, 0, 0, 0, -2, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -1, 0, -4, 0, 0, 0, 12, 0, -17, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, -10, 0, 0, 0, 0, 0, -2, 0, 0, 0, -9, 0, 6, 0, 0, 0, 0, 0, -17, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 1, 0, 0, 0, 0, 0, -10, 0, 0, 0, 8, 0, 14, 0, 0, 0, 18, 0, -13, 0, 0, 0, 16, 0, 0, 0, 0, 0, 23, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0, 10, 0, 0, 0, -20, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -3, 0, 9, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -20, 0, 0, 0, -22, 0, -10, 0, 0, 0, 10, 0, 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'weight': 2, 'weight_parity': 1}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 19, 18, 17, 22], 'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8100, 1, [4051, 6401, 7777], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 76, 'eis_dim': 215, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 33562532, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 8], 'label': '8100.2.a', 'level': 8100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1728, 'mf_new_dim': 76, 'num_forms': 31, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 3240, 'trace_bound': 23, 'trace_display': [0, 0, 0, 2], 'traces': [76, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -202, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -174, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -278, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -236, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 146, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 206, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 328, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, -364, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 254, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -134, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, -322, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -88, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 42782989
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915674020, 'target_is_minimal': False, 'target_label': '8100.2.a.d.1.1', 'target_level': 8100, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42782990
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288303524, 'target_is_minimal': False, 'target_label': '8100.2.a.c.1.1', 'target_level': 8100, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42782991
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191986260, 'target_is_minimal': True, 'target_label': '1620.2.d.a.649.2', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42782992
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191986260, 'target_is_minimal': True, 'target_label': '1620.2.d.a.649.1', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42782993
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934637988, 'target_is_minimal': False, 'target_label': '8100.2.a.l.1.1', 'target_level': 8100, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 42782994
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356756, 'target_is_minimal': True, 'target_label': '1620.2.d.b.649.1', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42782995
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819356756, 'target_is_minimal': True, 'target_label': '1620.2.d.b.649.2', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 42782996
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307267492, 'target_is_minimal': False, 'target_label': '8100.2.a.k.1.1', 'target_level': 8100, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 42782997
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504767892031060, 'target_is_minimal': False, 'target_label': '1620.2.r.b.109.2', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42782998
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015566774142548, 'target_is_minimal': False, 'target_label': '1620.2.r.e.109.1', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42782999
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1189, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015566774142548, 'target_is_minimal': False, 'target_label': '1620.2.r.e.1189.1', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 42783000
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1189, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015566774142548, 'target_is_minimal': False, 'target_label': '1620.2.r.e.1189.2', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 42783001
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1189, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504767892031060, 'target_is_minimal': False, 'target_label': '1620.2.r.b.1189.2', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42783002
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 1189, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892031060, 'target_is_minimal': False, 'target_label': '1620.2.r.b.1189.1', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 42783003
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892031060, 'target_is_minimal': False, 'target_label': '1620.2.r.b.109.1', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 42783004
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915674020, 'source_is_minimal': False, 'source_label': '8100.2.a.d.1.1', 'source_level': 8100, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015566774142548, 'target_is_minimal': False, 'target_label': '1620.2.r.e.109.2', 'target_level': 1620, 'twist_class_label': '1620.2.d.a.649.1', 'twist_class_level': 1620, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4659275
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 2}
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id: 4659276
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 3}
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id: 4659277
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 5}
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id: 4659278
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 7}
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id: 4659279
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 11}
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id: 4659280
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 13}
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id: 4659281
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 17}
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id: 4659282
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 19}
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id: 4659283
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 23}
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id: 4659284
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 29}
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id: 4659285
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 31}
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id: 4659286
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 37}
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id: 4659287
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 41}
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id: 4659288
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 43}
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id: 4659289
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 47}
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id: 4659290
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 53}
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id: 4659291
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 59}
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id: 4659292
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 61}
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id: 4659293
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 67}
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id: 4659294
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 71}
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id: 4659295
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 73}
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id: 4659296
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 79}
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id: 4659297
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 83}
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id: 4659298
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 89}
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id: 4659299
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915674020, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '8100.2.a.d', 'level': 8100, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 34167175
{'hecke_orbit_code': 13510798915674020, 'n': 1, 'trace_an': 1}
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id: 34167176
{'hecke_orbit_code': 13510798915674020, 'n': 2, 'trace_an': 0}
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id: 34167177
{'hecke_orbit_code': 13510798915674020, 'n': 3, 'trace_an': 0}
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id: 34167178
{'hecke_orbit_code': 13510798915674020, 'n': 4, 'trace_an': 0}
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id: 34167179
{'hecke_orbit_code': 13510798915674020, 'n': 5, 'trace_an': 0}
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id: 34167180
{'hecke_orbit_code': 13510798915674020, 'n': 6, 'trace_an': 0}
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id: 34167181
{'hecke_orbit_code': 13510798915674020, 'n': 7, 'trace_an': -2}
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id: 34167182
{'hecke_orbit_code': 13510798915674020, 'n': 8, 'trace_an': 0}
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id: 34167183
{'hecke_orbit_code': 13510798915674020, 'n': 9, 'trace_an': 0}
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id: 34167184
{'hecke_orbit_code': 13510798915674020, 'n': 10, 'trace_an': 0}
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id: 34167185
{'hecke_orbit_code': 13510798915674020, 'n': 11, 'trace_an': 1}
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id: 34167186
{'hecke_orbit_code': 13510798915674020, 'n': 12, 'trace_an': 0}
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id: 34167187
{'hecke_orbit_code': 13510798915674020, 'n': 13, 'trace_an': 0}
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