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mf_newforms • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1470, 3, [491, 1177, 1081], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 361, 'conrey_indexes': [361, 961], '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': [[11, [0, 1]], [13, [2, 1]], [17, [36, -6, 1]], [19, [16, 4, 1]], [31, [64, -8, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72058143827297726, 'hecke_ring_generator_nbound': 2, '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, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1470.2.i.q', 'level': 1470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '30.2.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1470.2.i', 'trace_display': [1, 1, -1, 0], 'trace_hash': 609315761741464711, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.320', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.474', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.256', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1470, 3, [491, 1177, 1081], [3, 3, 2]], 'conrey_index': 361, 'cusp_dim': 608, 'dim': 56, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 31], 'hecke_orbit_code': 549789369790, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '1470.2.i', 'level': 1470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 736, 'mf_new_dim': 56, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 672, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, -28, 0, 0, 0, 0, -28, 4, -4, 0, -16, 0, 0, -28, -8, 0, -4, 0, 0, 16, 0, 0, -28, -4, 0, 0, 32, 0, -8, 0, 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mf_twists_cc • Show schema
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id: 48073929
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297726, 'target_is_minimal': False, 'target_label': '1470.2.i.q.961.1', 'target_level': 1470, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48073930
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667390, 'target_is_minimal': False, 'target_label': '1470.2.a.d.1.1', 'target_level': 1470, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48073931
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050944572556734, 'target_is_minimal': False, 'target_label': '1470.2.i.o.361.1', 'target_level': 1470, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48073932
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297726, 'target_is_minimal': False, 'target_label': '1470.2.i.q.361.1', 'target_level': 1470, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48073933
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554462, 'target_is_minimal': True, 'target_label': '30.2.a.a.1.1', 'target_level': 30, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48073934
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050944572556734, 'target_is_minimal': False, 'target_label': '1470.2.i.o.961.1', 'target_level': 1470, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48073935
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717821242, 'target_is_minimal': False, 'target_label': '4410.2.a.z.1.1', 'target_level': 4410, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48073936
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295514, 'target_is_minimal': False, 'target_label': '90.2.a.c.1.1', 'target_level': 90, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48073937
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925168, 'target_is_minimal': False, 'target_label': '240.2.a.b.1.1', 'target_level': 240, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48073938
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 319755573576866998, 'target_is_minimal': False, 'target_label': '7350.2.a.ct.1.1', 'target_level': 7350, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 48073939
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508054, 'target_is_minimal': False, 'target_label': '150.2.c.a.49.1', 'target_level': 150, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48073940
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925078, 'target_is_minimal': False, 'target_label': '150.2.a.b.1.1', 'target_level': 150, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48073941
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472508054, 'target_is_minimal': False, 'target_label': '150.2.c.a.49.2', 'target_level': 150, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 48073942
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037376, 'target_is_minimal': False, 'target_label': '960.2.a.e.1.1', 'target_level': 960, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '56.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48073943
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444112832, 'target_is_minimal': False, 'target_label': '960.2.a.p.1.1', 'target_level': 960, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48073944
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832682, 'target_is_minimal': False, 'target_label': '810.2.e.b.541.1', 'target_level': 810, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48073945
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812537642, 'target_is_minimal': False, 'target_label': '810.2.e.l.541.1', 'target_level': 810, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 48073946
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832682, 'target_is_minimal': False, 'target_label': '810.2.e.b.271.1', 'target_level': 810, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 48073947
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812537642, 'target_is_minimal': False, 'target_label': '810.2.e.l.271.1', 'target_level': 810, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 48073948
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835708974, 'target_is_minimal': False, 'target_label': '3630.2.a.w.1.1', 'target_level': 3630, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '77.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 48073949
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889616, 'target_is_minimal': False, 'target_label': '720.2.a.j.1.1', 'target_level': 720, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48073950
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036065026741198, 'target_is_minimal': False, 'target_label': '5070.2.b.k.1351.2', 'target_level': 5070, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '91.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48073951
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835710414, 'target_is_minimal': False, 'target_label': '5070.2.a.w.1.1', 'target_level': 5070, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '91.12', 'twisting_conrey_index': 12, 'weight': 2}
-
id: 48073952
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036065026741198, 'target_is_minimal': False, 'target_label': '5070.2.b.k.1351.1', 'target_level': 5070, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '91.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 48073953
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099878850, 'target_is_minimal': False, 'target_label': '450.2.c.b.199.2', 'target_level': 450, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '105.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 48073954
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878850, 'target_is_minimal': False, 'target_label': '450.2.c.b.199.1', 'target_level': 450, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '105.68', 'twisting_conrey_index': 68, 'weight': 2}
-
id: 48073955
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666370, 'target_is_minimal': False, 'target_label': '450.2.a.d.1.1', 'target_level': 450, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '105.89', 'twisting_conrey_index': 89, 'weight': 2}
-
id: 48073956
{'conductor': 112, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1921, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108087078285217536, 'target_is_minimal': False, 'target_label': '3840.2.k.y.1921.1', 'target_level': 3840, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '112.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 48073957
{'conductor': 112, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1921, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518685365178112, 'target_is_minimal': False, 'target_label': '3840.2.k.f.1921.1', 'target_level': 3840, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '112.19', 'twisting_conrey_index': 19, 'weight': 2}
-
id: 48073958
{'conductor': 112, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1921, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108087078285217536, 'target_is_minimal': False, 'target_label': '3840.2.k.y.1921.2', 'target_level': 3840, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '112.61', 'twisting_conrey_index': 61, 'weight': 2}
-
id: 48073959
{'conductor': 112, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1921, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518685365178112, 'target_is_minimal': False, 'target_label': '3840.2.k.f.1921.2', 'target_level': 3840, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '112.75', 'twisting_conrey_index': 75, 'weight': 2}
-
id: 48073960
{'conductor': 119, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786078, 'target_is_minimal': False, 'target_label': '8670.2.a.g.1.1', 'target_level': 8670, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '119.33', 'twisting_conrey_index': 33, 'weight': 2}
-
id: 48073961
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260592, 'target_is_minimal': False, 'target_label': '1200.2.a.k.1.1', 'target_level': 1200, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '140.19', 'twisting_conrey_index': 19, 'weight': 2}
-
id: 48073962
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140421296, 'target_is_minimal': False, 'target_label': '1200.2.f.e.49.2', 'target_level': 1200, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '140.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 48073963
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140421296, 'target_is_minimal': False, 'target_label': '1200.2.f.e.49.1', 'target_level': 1200, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '140.103', 'twisting_conrey_index': 103, 'weight': 2}
-
id: 48073964
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33557312, 'target_is_minimal': False, 'target_label': '2880.2.a.a.1.1', 'target_level': 2880, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '168.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 48073965
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071485248, 'target_is_minimal': False, 'target_label': '2880.2.a.q.1.1', 'target_level': 2880, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '168.131', 'twisting_conrey_index': 131, 'weight': 2}
-
id: 48073966
{'conductor': 280, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915670720, 'target_is_minimal': False, 'target_label': '4800.2.a.d.1.1', 'target_level': 4800, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '280.19', 'twisting_conrey_index': 19, 'weight': 2}
-
id: 48073967
{'conductor': 280, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554338041500352, 'target_is_minimal': False, 'target_label': '4800.2.f.p.3649.2', 'target_level': 4800, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '280.117', 'twisting_conrey_index': 117, 'weight': 2}
-
id: 48073968
{'conductor': 280, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554338041500352, 'target_is_minimal': False, 'target_label': '4800.2.f.p.3649.1', 'target_level': 4800, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '280.173', 'twisting_conrey_index': 173, 'weight': 2}
-
id: 48073969
{'conductor': 280, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079535433093824, 'target_is_minimal': False, 'target_label': '4800.2.f.w.3649.1', 'target_level': 4800, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '280.187', 'twisting_conrey_index': 187, 'weight': 2}
-
id: 48073970
{'conductor': 280, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 306244774694752960, 'target_is_minimal': False, 'target_label': '4800.2.a.cq.1.1', 'target_level': 4800, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '280.229', 'twisting_conrey_index': 229, 'weight': 2}
-
id: 48073971
{'conductor': 280, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079535433093824, 'target_is_minimal': False, 'target_label': '4800.2.f.w.3649.2', 'target_level': 4800, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '280.243', 'twisting_conrey_index': 243, 'weight': 2}
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id: 48073972
{'conductor': 420, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029140649905680, 'target_is_minimal': False, 'target_label': '3600.2.f.i.2449.2', 'target_level': 3600, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '420.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48073973
{'conductor': 420, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170410512, 'target_is_minimal': False, 'target_label': '3600.2.a.f.1.1', 'target_level': 3600, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '420.299', 'twisting_conrey_index': 299, 'weight': 2}
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id: 48073974
{'conductor': 420, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72058143827297726, 'source_is_minimal': False, 'source_label': '1470.2.i.q.961.1', 'source_level': 1470, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649905680, 'target_is_minimal': False, 'target_label': '3600.2.f.i.2449.1', 'target_level': 3600, 'twist_class_label': '30.2.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '420.383', 'twisting_conrey_index': 383, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1973400
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 2}
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id: 1973401
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 3}
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id: 1973402
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 5}
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id: 1973403
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 7}
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id: 1973404
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 11}
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id: 1973405
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 13}
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id: 1973406
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 17}
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id: 1973407
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 19}
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id: 1973408
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 23}
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id: 1973409
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 29}
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id: 1973410
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 31}
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id: 1973411
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 37}
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id: 1973412
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 41}
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id: 1973413
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 43}
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id: 1973414
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 47}
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id: 1973415
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 53}
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id: 1973416
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 59}
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id: 1973417
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 61}
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id: 1973418
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 67}
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id: 1973419
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 71}
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id: 1973420
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 73}
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id: 1973421
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 79}
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id: 1973422
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 83}
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id: 1973423
{'charpoly_factorization': [[[324, -18, 1], 1]], 'hecke_orbit_code': 72058143827297726, 'p': 89}
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id: 1973424
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 72058143827297726, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 17, 'label': '1470.2.i.q', 'level': 1470, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 240599000
{'hecke_orbit_code': 72058143827297726, 'n': 1, 'trace_an': 2}
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id: 240599001
{'hecke_orbit_code': 72058143827297726, 'n': 2, 'trace_an': 1}
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id: 240599002
{'hecke_orbit_code': 72058143827297726, 'n': 3, 'trace_an': 1}
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id: 240599003
{'hecke_orbit_code': 72058143827297726, 'n': 4, 'trace_an': -1}
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id: 240599004
{'hecke_orbit_code': 72058143827297726, 'n': 5, 'trace_an': -1}
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id: 240599005
{'hecke_orbit_code': 72058143827297726, 'n': 6, 'trace_an': 2}
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id: 240599006
{'hecke_orbit_code': 72058143827297726, 'n': 7, 'trace_an': 0}
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id: 240599007
{'hecke_orbit_code': 72058143827297726, 'n': 8, 'trace_an': -2}
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id: 240599008
{'hecke_orbit_code': 72058143827297726, 'n': 9, 'trace_an': -1}
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id: 240599009
{'hecke_orbit_code': 72058143827297726, 'n': 10, 'trace_an': 1}
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id: 240599010
{'hecke_orbit_code': 72058143827297726, 'n': 11, 'trace_an': 0}
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id: 240599011
{'hecke_orbit_code': 72058143827297726, 'n': 12, 'trace_an': 1}
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id: 240599012
{'hecke_orbit_code': 72058143827297726, 'n': 13, 'trace_an': -4}
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id: 240599013
{'hecke_orbit_code': 72058143827297726, 'n': 14, 'trace_an': 0}
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id: 240599014
{'hecke_orbit_code': 72058143827297726, 'n': 15, 'trace_an': -2}
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id: 240599015
{'hecke_orbit_code': 72058143827297726, 'n': 16, 'trace_an': -1}
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id: 240599016
{'hecke_orbit_code': 72058143827297726, 'n': 17, 'trace_an': 6}
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id: 240599017
{'hecke_orbit_code': 72058143827297726, 'n': 18, 'trace_an': 1}
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id: 240599018
{'hecke_orbit_code': 72058143827297726, 'n': 19, 'trace_an': -4}
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id: 240599019
{'hecke_orbit_code': 72058143827297726, 'n': 20, 'trace_an': 2}
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id: 240599020
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{'hecke_orbit_code': 72058143827297726, 'n': 991, 'trace_an': 16}
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id: 240599991
{'hecke_orbit_code': 72058143827297726, 'n': 992, 'trace_an': -8}
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id: 240599992
{'hecke_orbit_code': 72058143827297726, 'n': 993, 'trace_an': 56}
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id: 240599993
{'hecke_orbit_code': 72058143827297726, 'n': 994, 'trace_an': 0}
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id: 240599994
{'hecke_orbit_code': 72058143827297726, 'n': 995, 'trace_an': -16}
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id: 240599995
{'hecke_orbit_code': 72058143827297726, 'n': 996, 'trace_an': -12}
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id: 240599996
{'hecke_orbit_code': 72058143827297726, 'n': 997, 'trace_an': 26}
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id: 240599997
{'hecke_orbit_code': 72058143827297726, 'n': 998, 'trace_an': -4}
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id: 240599998
{'hecke_orbit_code': 72058143827297726, 'n': 999, 'trace_an': 2}
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id: 240599999
{'hecke_orbit_code': 72058143827297726, 'n': 1000, 'trace_an': -2}