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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [3, 2]], 'cm_discs': [], 'conrey_index': 109, 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 9, 15, 0, 7, 2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420943549, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '189.2.e.e', 'level': 189, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.e.e', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{4}+\\beta _{5})q^{2}+(-2+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '189.2.e', 'trace_display': [-2, 0, -1, 2], 'trace_hash': 507990361162155712, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.652', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.326', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [3, 2]], 'conrey_index': 109, 'cusp_dim': 36, 'dim': 22, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461565, 'hecke_orbit_dims': [2, 2, 2, 4, 6, 6], 'label': '189.2.e', 'level': 189, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 60, 'mf_new_dim': 22, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 11, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 0, 9], 'traces': [22, 0, 0, -12, 0, 0, 9, 0, 0, -2, 0, 0, 0, 0, 0, -30, 0, 0, -9, 0, 0, 40, 0, 0, -15, 0, 0, -20, 0, 0, 13, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -70, 0, 0, -18, 0, 0, -11, 0, 0, 20, 0, 0, 32, 0, 0, 4, 0, 0, 15, 0, 0, 112, 0, 0, -30, 0, 0, 152, 0, 0, 7, 0, 0, -76, 0, 0, -22, 0, 0, -118, 0, 0, -36, 0, 0, -54, 0, 0, -52, 0, 0, 30, 0, 0, -14, 0, 0, 46, 0, 0, -40, 0, 0, -60, 0, 0, 43, 0, 0, 70, 0, 0, 54, 0, 0, -84, 0, 0, 15, 0, 0, 118, 0, 0, 82, 0, 0, 70, 0, 0, 38, 0, 0, -144, 0, 0, 148, 0, 0, 66, 0, 0, -4, 0, 0, 40, 0, 0, -7, 0, 0, -82, 0, 0, -60, 0, 0, -124, 0, 0, -27, 0, 0, 6, 0, 0, -42, 0, 0, 66, 0, 0, -83, 0, 0, 16, 0, 0, 6, 0, 0, -54, 0, 0, 72, 0, 0, 4, 0, 0, -40, 0, 0, -24, 0, 0, 25, 0, 0, -220, 0, 0, -62, 0, 0, -94, 0, 0, -30, 0, 0, 10, 0, 0, -11, 0, 0, -86, 0, 0, 24, 0, 0, 100, 0, 0, 17, 0, 0, -180, 0, 0, 42, 0, 0, 90, 0, 0, 89, 0, 0, 344, 0, 0, 4, 0, 0, 48, 0, 0, 180, 0, 0, 58, 0, 0, 40, 0, 0, -68, 0, 0, 168, 0, 0, -22, 0, 0, -3, 0, 0, -120, 0, 0, -87, 0, 0, -198, 0, 0, 129, 0, 0, -32, 0, 0, -29, 0, 0, 124, 0, 0, -168, 0, 0, 6, 0, 0, 27, 0, 0, 122, 0, 0, -186, 0, 0, 90, 0, 0, 29, 0, 0, -12, 0, 0, 14, 0, 0, -54, 0, 0, -70, 0, 0, 324, 0, 0, 53, 0, 0, 58, 0, 0, 30, 0, 0, 144, 0, 0, -102, 0, 0, -28, 0, 0, -6, 0, 0, -64, 0, 0, -84, 0, 0, -76, 0, 0, 60, 0, 0, -342, 0, 0, -137, 0, 0, 228, 0, 0, -73, 0, 0, 0, 0, 0, -224, 0, 0, 28, 0, 0, -188, 0, 0, 172, 0, 0, -108, 0, 0, -146, 0, 0, 43, 0, 0, -104, 0, 0, 8, 0, 0, 248, 0, 0, -196, 0, 0, 84, 0, 0, 30, 0, 0, 34, 0, 0, 182, 0, 0, -54, 0, 0, 26, 0, 0, -64, 0, 0, -54, 0, 0, -32, 0, 0, -2, 0, 0, 180, 0, 0, -142, 0, 0, 234, 0, 0, 10, 0, 0, -396, 0, 0, -45, 0, 0, -72, 0, 0, 42, 0, 0, -156, 0, 0, -118, 0, 0, 252, 0, 0, 302, 0, 0, 114, 0, 0, 20, 0, 0, 88, 0, 0, -21, 0, 0, 190, 0, 0, 72, 0, 0, -356, 0, 0, 153, 0, 0, -116, 0, 0, 148, 0, 0, 88, 0, 0, 157, 0, 0, -136, 0, 0, 312, 0, 0, 198, 0, 0, 90, 0, 0, 460, 0, 0, 109, 0, 0, -30, 0, 0, 80, 0, 0, -120, 0, 0, -235, 0, 0, -90, 0, 0, 222, 0, 0, -142, 0, 0, -72, 0, 0, -344, 0, 0, -252, 0, 0, -202, 0, 0, 26, 0, 0, -504, 0, 0, 5, 0, 0, -134, 0, 0, 102, 0, 0, -524, 0, 0, -102, 0, 0, -82, 0, 0, -106, 0, 0, 40, 0, 0, 342, 0, 0, -54, 0, 0, -218, 0, 0, 126, 0, 0, -1, 0, 0, 4, 0, 0, -21, 0, 0, 252, 0, 0, -36, 0, 0, 552, 0, 0, -27, 0, 0, -106, 0, 0, 50, 0, 0, -30, 0, 0, 60, 0, 0, 198, 0, 0, 254, 0, 0, 144, 0, 0, 156, 0, 0, -232, 0, 0, 14, 0, 0, 96, 0, 0, 57, 0, 0, 288, 0, 0, 18, 0, 0, -8, 0, 0, 234, 0, 0, -12, 0, 0, -23, 0, 0, 216, 0, 0, -528, 0, 0, 336, 0, 0, -229, 0, 0, -208, 0, 0, -54, 0, 0, -216, 0, 0, -88, 0, 0, -140, 0, 0, 241, 0, 0, 198, 0, 0, -76, 0, 0, 128, 0, 0, 114, 0, 0, -184, 0, 0, 38, 0, 0, -192, 0, 0, -233, 0, 0, 252, 0, 0, 31, 0, 0, -246, 0, 0, -204, 0, 0, -36, 0, 0, 57, 0, 0, -248, 0, 0, -82, 0, 0, -54, 0, 0, -215, 0, 0, 330, 0, 0, -34, 0, 0, -294, 0, 0, 61, 0, 0, 84, 0, 0, -48, 0, 0, 582, 0, 0, 15, 0, 0, -328, 0, 0, 52, 0, 0, 76, 0, 0, -252, 0, 0, -306, 0, 0, 324, 0, 0, 72, 0, 0, 104, 0, 0, -294, 0, 0, -117, 0, 0, -112, 0, 0, -185, 0, 0, 156, 0, 0, 119, 0, 0, 288, 0, 0, 32, 0, 0, -96, 0, 0, 30, 0, 0, -94, 0, 0, -260, 0, 0, 270, 0, 0, -238, 0, 0, 36, 0, 0, 11, 0, 0, 576, 0, 0, 136, 0, 0, 220, 0, 0, 28, 0, 0, -72, 0, 0, -15, 0, 0, -134, 0, 0, -94, 0, 0, 192, 0, 0, -251, 0, 0, -358, 0, 0, 148, 0, 0, 108, 0, 0, 18, 0, 0, 468, 0, 0, 50, 0, 0, -46, 0, 0, -276, 0, 0, 144, 0, 0, -139, 0, 0, 290, 0, 0, 496, 0, 0, -232, 0, 0, -261, 0, 0, -156, 0, 0, -20, 0, 0, -150, 0, 0, 72, 0, 0, -196, 0, 0, 128, 0, 0, -810, 0, 0, 152, 0, 0, 20, 0, 0, -20, 0, 0, 336, 0, 0, -216, 0, 0, -24, 0, 0, 442, 0, 0, -214, 0, 0, -4, 0, 0, -100, 0, 0, 182, 0, 0, -132, 0, 0, 128, 0, 0, -120, 0, 0, 69, 0, 0, 576], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44275909
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943549, 'target_is_minimal': True, 'target_label': '189.2.e.e.109.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44275910
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314045, 'target_is_minimal': True, 'target_label': '189.2.e.f.109.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275911
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943549, 'target_is_minimal': True, 'target_label': '189.2.e.e.163.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275912
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717818155, 'target_is_minimal': False, 'target_label': '1323.2.a.z.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44275913
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345188651, 'target_is_minimal': False, 'target_label': '1323.2.a.ba.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44275914
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379383, 'target_is_minimal': False, 'target_label': '567.2.g.i.109.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275915
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 298, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029278088856119, 'target_is_minimal': False, 'target_label': '567.2.h.i.298.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44275916
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 298, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525678461485623, 'target_is_minimal': False, 'target_label': '567.2.h.h.298.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44275917
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525609742008887, 'target_is_minimal': False, 'target_label': '567.2.g.h.109.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44275918
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314045, 'target_is_minimal': True, 'target_label': '189.2.e.f.163.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275919
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463077163, 'target_is_minimal': False, 'target_label': '1323.2.a.x.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44275920
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090447659, 'target_is_minimal': False, 'target_label': '1323.2.a.y.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 44275921
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 352, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525678461485623, 'target_is_minimal': False, 'target_label': '567.2.h.h.352.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275922
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 352, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029278088856119, 'target_is_minimal': False, 'target_label': '567.2.h.i.352.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 44275923
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 541, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379383, 'target_is_minimal': False, 'target_label': '567.2.g.i.541.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 44275924
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943549, 'source_is_minimal': True, 'source_label': '189.2.e.e.109.2', 'source_level': 189, 'target_conrey_index': 541, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525609742008887, 'target_is_minimal': False, 'target_label': '567.2.g.h.541.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 472650
{'charpoly_factorization': [[[9, 9, 15, 0, 7, 2, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 2}
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id: 472651
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420943549, 'p': 3}
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id: 472652
{'charpoly_factorization': [[[9, -18, 33, -12, 7, 1, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 5}
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id: 472653
{'charpoly_factorization': [[[343, -98, -28, 31, -4, -2, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 7}
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id: 472654
{'charpoly_factorization': [[[9, 36, 123, 78, 37, 7, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 11}
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id: 472655
{'charpoly_factorization': [[[47, -19, -2, 1], 2]], 'hecke_orbit_code': 18014673420943549, 'p': 13}
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id: 472656
{'charpoly_factorization': [[[81, -297, 1089, -18, 33, 0, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 17}
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id: 472657
{'charpoly_factorization': [[[841, 116, 161, 38, 29, 5, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 19}
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id: 472658
{'charpoly_factorization': [[[81, -27, 63, 36, 33, 6, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 23}
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id: 472659
{'charpoly_factorization': [[[-9, 30, -13, 1], 2]], 'hecke_orbit_code': 18014673420943549, 'p': 29}
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id: 472660
{'charpoly_factorization': [[[4761, 69, 553, -146, 63, -8, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 31}
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id: 472661
{'charpoly_factorization': [[[8649, -465, 769, -146, 69, -8, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 37}
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id: 472662
{'charpoly_factorization': [[[387, -105, -2, 1], 2]], 'hecke_orbit_code': 18014673420943549, 'p': 41}
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id: 472663
{'charpoly_factorization': [[[-101, -12, 9, 1], 2]], 'hecke_orbit_code': 18014673420943549, 'p': 43}
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id: 472664
{'charpoly_factorization': [[[81, -378, 1683, -396, 123, 9, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 47}
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id: 472665
{'charpoly_factorization': [[[59049, 40095, 21393, 3474, 411, 24, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 53}
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id: 472666
{'charpoly_factorization': [[[6561, -5346, 3141, -828, 159, -15, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 59}
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id: 472667
{'charpoly_factorization': [[[14641, -5929, 2522, -193, 50, -1, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 61}
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id: 472668
{'charpoly_factorization': [[[961, 1643, 2375, 680, 143, 14, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 67}
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id: 472669
{'charpoly_factorization': [[[243, -108, 3, 1], 2]], 'hecke_orbit_code': 18014673420943549, 'p': 71}
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id: 472670
{'charpoly_factorization': [[[962361, 131454, 24823, 1024, 183, 7, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 73}
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id: 472671
{'charpoly_factorization': [[[16129, 8763, 5523, -160, 105, 6, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 79}
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id: 472672
{'charpoly_factorization': [[[-729, -180, -3, 1], 2]], 'hecke_orbit_code': 18014673420943549, 'p': 83}
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id: 472673
{'charpoly_factorization': [[[239121, -45477, 11094, -513, 118, -5, 1], 1]], 'hecke_orbit_code': 18014673420943549, 'p': 89}
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id: 472674
{'charpoly_factorization': [[[-24, 16, 14, 1], 2]], 'hecke_orbit_code': 18014673420943549, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '189.2.e.e', 'level': 189, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 40830541
{'hecke_orbit_code': 18014673420943549, 'n': 1, 'trace_an': 6}
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id: 40830542
{'hecke_orbit_code': 18014673420943549, 'n': 2, 'trace_an': -2}
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id: 40830543
{'hecke_orbit_code': 18014673420943549, 'n': 3, 'trace_an': 0}
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id: 40830544
{'hecke_orbit_code': 18014673420943549, 'n': 4, 'trace_an': -4}
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id: 40830545
{'hecke_orbit_code': 18014673420943549, 'n': 5, 'trace_an': -1}
-
id: 40830546
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id: 40830743
{'hecke_orbit_code': 18014673420943549, 'n': 641, 'trace_an': 30}
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id: 40830744
{'hecke_orbit_code': 18014673420943549, 'n': 643, 'trace_an': 120}
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id: 40830745
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id: 40830746
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id: 40830747
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id: 40830748
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id: 40830749
{'hecke_orbit_code': 18014673420943549, 'n': 673, 'trace_an': 76}
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id: 40830750
{'hecke_orbit_code': 18014673420943549, 'n': 677, 'trace_an': -51}
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id: 40830751
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id: 40830752
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id: 40830753
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id: 40830754
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id: 40830755
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id: 40830756
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id: 40830757
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id: 40830758
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id: 40830759
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id: 40830760
{'hecke_orbit_code': 18014673420943549, 'n': 743, 'trace_an': -48}
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id: 40830761
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id: 40830762
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id: 40830763
{'hecke_orbit_code': 18014673420943549, 'n': 761, 'trace_an': 27}
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id: 40830764
{'hecke_orbit_code': 18014673420943549, 'n': 769, 'trace_an': 42}
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id: 40830765
{'hecke_orbit_code': 18014673420943549, 'n': 773, 'trace_an': -26}
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id: 40830766
{'hecke_orbit_code': 18014673420943549, 'n': 787, 'trace_an': -59}
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id: 40830767
{'hecke_orbit_code': 18014673420943549, 'n': 797, 'trace_an': -64}
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id: 40830768
{'hecke_orbit_code': 18014673420943549, 'n': 809, 'trace_an': 27}
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id: 40830769
{'hecke_orbit_code': 18014673420943549, 'n': 811, 'trace_an': -72}
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id: 40830770
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id: 40830771
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id: 40830772
{'hecke_orbit_code': 18014673420943549, 'n': 827, 'trace_an': -18}
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id: 40830773
{'hecke_orbit_code': 18014673420943549, 'n': 829, 'trace_an': -9}
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id: 40830774
{'hecke_orbit_code': 18014673420943549, 'n': 839, 'trace_an': -82}
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id: 40830775
{'hecke_orbit_code': 18014673420943549, 'n': 841, 'trace_an': 44}
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id: 40830776
{'hecke_orbit_code': 18014673420943549, 'n': 853, 'trace_an': -168}
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id: 40830777
{'hecke_orbit_code': 18014673420943549, 'n': 857, 'trace_an': -91}
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id: 40830778
{'hecke_orbit_code': 18014673420943549, 'n': 859, 'trace_an': -66}
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id: 40830779
{'hecke_orbit_code': 18014673420943549, 'n': 863, 'trace_an': 24}
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id: 40830780
{'hecke_orbit_code': 18014673420943549, 'n': 877, 'trace_an': 34}
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id: 40830781
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id: 40830782
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id: 40830783
{'hecke_orbit_code': 18014673420943549, 'n': 887, 'trace_an': 28}
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id: 40830784
{'hecke_orbit_code': 18014673420943549, 'n': 907, 'trace_an': 24}
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id: 40830785
{'hecke_orbit_code': 18014673420943549, 'n': 911, 'trace_an': -126}
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id: 40830786
{'hecke_orbit_code': 18014673420943549, 'n': 919, 'trace_an': -15}
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id: 40830787
{'hecke_orbit_code': 18014673420943549, 'n': 929, 'trace_an': -2}
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id: 40830788
{'hecke_orbit_code': 18014673420943549, 'n': 937, 'trace_an': 38}
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id: 40830789
{'hecke_orbit_code': 18014673420943549, 'n': 941, 'trace_an': -149}
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id: 40830790
{'hecke_orbit_code': 18014673420943549, 'n': 947, 'trace_an': 40}
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id: 40830791
{'hecke_orbit_code': 18014673420943549, 'n': 953, 'trace_an': 22}
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id: 40830792
{'hecke_orbit_code': 18014673420943549, 'n': 961, 'trace_an': 31}
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id: 40830793
{'hecke_orbit_code': 18014673420943549, 'n': 967, 'trace_an': -50}
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id: 40830794
{'hecke_orbit_code': 18014673420943549, 'n': 971, 'trace_an': -63}
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id: 40830795
{'hecke_orbit_code': 18014673420943549, 'n': 977, 'trace_an': 54}
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id: 40830796
{'hecke_orbit_code': 18014673420943549, 'n': 983, 'trace_an': -9}
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id: 40830797
{'hecke_orbit_code': 18014673420943549, 'n': 991, 'trace_an': 21}
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id: 40830798
{'hecke_orbit_code': 18014673420943549, 'n': 997, 'trace_an': 76}