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mf_newforms • Show schema
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{'Nk2': 500, 'analytic_conductor': 0.9981300252660048, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [125, 5, [2], [2]], 'cm_discs': [], 'conrey_index': 26, 'conrey_indexes': [26, 51, 76, 101], 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -3, 4, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206191984765, '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, 25, 4, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '125.2.d.a', 'level': 125, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'minimal_twist': '25.2.d.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\zeta_{10}-\\zeta_{10}^{2})q^{2}+\\zeta_{10}^{3}q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '125.2.d', 'trace_display': [2, 1, 0, 2], 'trace_hash': 1686363147960030594, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.854', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '40.345', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '696.378', 'prec': 24}], 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mf_hecke_cc • Show schema
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'conrey_index': 26, 'dual_conrey_index': 101, 'dual_embedding_index': 1, 'dual_embedding_m': 4, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.9510565162951535, 'embedding_root_real': -0.30901699437494745, 'hecke_orbit': 1, 'hecke_orbit_code': 206191984765, 'label': '125.2.d.a.26.1', 'level': 125, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 500, 'analytic_conductor': 0.9981300252660048, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [125, 5, [2], [2]], 'conrey_index': 26, 'cusp_dim': 28, 'dim': 20, 'eis_dim': 40, 'eis_new_dim': 24, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206191984765, 'hecke_orbit_dims': [4, 16], 'label': '125.2.d', 'level': 125, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 68, 'mf_new_dim': 44, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 5, 'sturm_bound': 25, 'trace_bound': 1, 'trace_display': [2, 1, 0, 2], 'traces': [20, 2, 1, 0, 0, -15, 2, 5, 0, 0, -10, -3, -9, -25, 0, 0, -8, -4, 5, 0, -10, 14, 11, 40, 0, 0, -5, -1, 15, 0, -15, -18, -8, -20, 0, 40, 7, -5, 15, 0, 0, -1, 6, 10, 0, -25, 2, 6, -50, 0, -20, 12, -9, -5, 0, 20, 10, 10, 0, 0, -5, -6, 6, -5, 0, 30, 2, 4, -35, 0, 20, -10, -9, 30, 0, -20, 4, -3, -15, 0, 55, 4, -9, -40, 0, -15, 0, 10, 30, 0, 0, 12, 12, 55, 0, 30, -8, -11, 40, 0, 40, -6, 21, -10, 0, 5, 12, -10, 70, 0, -65, -3, 6, 35, 0, -65, -12, -30, -50, 0, -5, -21, -8, -150, 0, -80, -38, -15, -5, 0, -50, 4, -5, 70, 0, -20, 17, 12, -55, 0, -35, 19, 12, 0, 0, -15, -8, -11, 80, 0, 30, 20, 16, 20, 0, -55, -8, 20, -45, 0, 45, 2, 11, 50, 0, 100, 27, -10, 40, 0, 50, -3, -39, -130, 0, 40, 0, 20, -55, 0, 40, -6, 17, 85, 0, 110, -16, 4, -5, 0, -10, 7, -4, -135, 0, 95, 12, 12, 110, 0, -20, -6, -5, 110, 0, 130, 48, -9, -50, 0, 15, -13, -3, -30, 0, -15, -6, 20, 55, 0, 40, -1, 36, -10, 0, -50, 22, -5, -80, 0, -10, 10, -14, -10, 0, -145, 10, -2, 5, 0, -145, -39, -64, 90, 0, -160, -15, 15, -120, 0, -40, -8, -28, 10, 0, -140, -78, 12, -55, 0, -50, -11, -29, -70, 0, -30, -20, 24, -60, 0, -140, 42, 12, 230, 0, 70, -3, -15, 70, 0, -25, 4, -34, -90, 0, 50, 14, -14, 125, 0, 195, -18, 96, 95, 0, 5, 40, 10, 10, 0, 20, 9, 7, -60, 0, 60, -28, -2, 80, 0, 95, 15, -24, -10, 0, 175, 27, -18, -10, 0, 75, -1, 10, 50, 0, 110, 10, -10, -5, 0, 60, 2, 6, -175, 0, 25, -3, 1, -130, 0, 10, 0, -20, -15, 0, 5, -13, 5, 40, 0, 10, 4, 6, -70, 0, -80, 4, 5, 45, 0, -30, 14, -27, 55, 0, -160, -38, 6, -10, 0, -150, -6, 26, -80, 0, -50, 15, 5, 125, 0, -110, 24, 61, 30, 0, -150, -12, -6, -105, 0, -10, -30, 22, -100, 0, -80, 47, -15, 60, 0, -60, 14, -18, -30, 0, -15, 4, -20, -85, 0, 145, 27, 15, -40, 0, 0, 5, -20, 185, 0, 120, 19, 6, -140, 0, 160, 9, -6, -30, 0, 85, -30, 31, 135, 0, 170, -80, -18, -5, 0, 80, 24, -84, -120, 0, 300, -15, -1, -30, 0, 120, -33, 27, 210, 0, 75, 32, -60, 10, 0, -25, -2, 41, 95, 0, -160, 62, 36, 10, 0, 15, -45, -18, 210, 0, -40, -22, 65, -135, 0, -30, -6, 12, 35, 0, -240, 7, 5, 155, 0, -125, -6, -40, 65, 0, -125, -11, -8, -270, 0, -330, -36, -54, -40, 0, -130, -2, 4, 95, 0, -65, 27, 50, -145, 0, -75, -6, 8, -95, 0, -165, -20, -24, 310, 0, -200, -6, 42, 80, 0, -110, 30, -18, 80, 0, 120, -15, -30, 40, 0, 100, 24, -28, -90, 0, 50, -13, -11, -340, 0, 230, -35, -5, -235, 0, 230, -28, -18, -5, 0, 40, 9, 11, -20, 0, 175, 2, 10, 35, 0, 115, -6, -38, -100, 0, 200, 82, -21, 180, 0, 120, -16, 32, -35, 0, -50, 27, 14, -130, 0, -70, -3, 66, 90, 0, 60, -30, -33, 100, 0, -170, -6, -4, -135, 0, -5, 102, 25, 45, 0, -80, -8, 61, 270, 0, -60, 17, 42, -95, 0, 35, -11, -20, -140, 0, 20, 10, 4, 150, 0, -125, 50, -23, -20, 0, 15, 42, 20, 50, 0, 105, 39, 16, -15, 0, -50, -78, -5, 240, 0, 50, -33, 26, -190, 0, 70, -72, -2, -250, 0, 10, -6, 12, 135, 0, 170, -15, -36, 230, 0, 100, 9, -24, -200, 0, -70, 7, -48, -45, 0, 280, 48, -19, 90, 0, 150, 0, -9, -45, 0, 130, 2, -8, -200, 0, 125, 4, 30, 0, 0, -80, 15, 15, 140, 0, 125, -26, -15, 75, 0, -80, -20, -33, 10, 0, -215, -15, 80, 5, 0, 25, 42, 17, 200, 0, -150, -8, 15, -165, 0, -130, -26, -49, -35, 0, -185, 4, 12, 60, 0, -95, 9, -24, 105, 0, -320, 18, -12, -210, 0, -60, -3, -43, 85, 0, -175, -68, -25, 50, 0, -120, 4, -30, -320, 0, -190, -45, -14, -190, 0, -265, 2, 76, 140, 0, -310, -11, -45, 140, 0, -30, -56, 25, 25, 0, 85, -48, 24, 175, 0, -5, 40, -78, 100, 0, -35, 7, 10, -20, 0, 100, 4, 72, -70, 0, 5, 60, -5, 45, 0, 315, -5, -8, -10, 0, 50, 0, -30, 30, 0, 150, 29, 26, 30, 0, 290, -48, -24, 30, 0, 55, -18, 54, -230, 0, -10, 15, -10, -160, 0, 80, -96, -18, 160, 0, 150, 6, 6, 170, 0, 60, 14, -54, 115, 0, 15, 42, 24, 15, 0, -10, -6, -54, 25, 0, -25, 27, 18, -130, 0, 10, 50, -14, -170, 0, 110, 72, 105, -50, 0, -120, 32, -4, 0, 0, 110, -28, -15, 90, 0, -50, 22, -20, -75, 0, -5, 36, 25, 250, 0, 180, 8, -3, 55, 0, -160, -28, 34, -160, 0, 115, -15, -18, -80, 0, 210, -11, 80, 115, 0, 100, -11, 42, -80, 0, 270, 48, -15, -30, 0, -85, 52, 32, 375, 0, -30, 72, -12, -160, 0, 135, -31, 92, -90, 0, 130, 22, -5, 30, 0, 40, 0, -34, 160, 0, 110, -40, 30, -75, 0, -160, -21, -54, -185, 0, 25, -18, -120, -110, 0, -125, 32, -15, -210, 0, 50, -53, -33, -240, 0, -90, -186, 11, -180, 0, -60, 4, -75, -140, 0, -315, -6, 12, 180, 0, -180, 47, -5, 120, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 1787849
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 26, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984765, 'target_is_minimal': False, 'target_label': '125.2.d.a.26.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 1787850
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 99, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.99.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 1787851
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 99, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.99.2', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787852
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 6, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984665, 'target_is_minimal': True, 'target_label': '25.2.d.a.6.1', 'target_level': 25, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 1787853
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262305, 'target_is_minimal': False, 'target_label': '225.2.h.b.181.1', 'target_level': 225, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 1787854
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460048, 'target_is_minimal': False, 'target_label': '400.2.u.b.81.1', 'target_level': 400, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 1787855
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 624, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68753031793, 'target_is_minimal': False, 'target_label': '625.2.b.a.624.4', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 1787856
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 24, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.24.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787857
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 21, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984665, 'target_is_minimal': True, 'target_label': '25.2.d.a.21.1', 'target_level': 25, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 1787858
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355761, 'target_is_minimal': False, 'target_label': '625.2.d.b.376.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 1787859
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.249.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 1787860
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525403583578737, 'target_is_minimal': False, 'target_label': '625.2.d.h.251.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 1787861
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288296049, 'target_is_minimal': False, 'target_label': '625.2.a.c.1.2', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 1787862
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.374.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 1787863
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.374.2', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 1787864
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925553, 'target_is_minimal': False, 'target_label': '625.2.a.b.1.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 1787865
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355761, 'target_is_minimal': False, 'target_label': '625.2.d.b.251.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 1787866
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.249.2', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 1787867
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525403583578737, 'target_is_minimal': False, 'target_label': '625.2.d.h.376.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 1787868
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 101, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984765, 'target_is_minimal': False, 'target_label': '125.2.d.a.101.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 1787869
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 24, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.24.2', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 1787870
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 624, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031793, 'target_is_minimal': False, 'target_label': '625.2.b.a.624.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 1787871
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915671545, 'target_is_minimal': False, 'target_label': '5625.2.a.d.1.1', 'target_level': 5625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '75.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 1787872
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170412537, 'target_is_minimal': False, 'target_label': '5625.2.a.f.1.2', 'target_level': 5625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '75.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 1787873
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262305, 'target_is_minimal': False, 'target_label': '225.2.h.b.46.1', 'target_level': 225, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '75.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 1787874
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934639888, 'target_is_minimal': False, 'target_label': '10000.2.a.l.1.2', 'target_level': 10000, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '100.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 1787875
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288305424, 'target_is_minimal': False, 'target_label': '10000.2.a.c.1.1', 'target_level': 10000, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '100.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 1787876
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206191984765, 'source_is_minimal': False, 'source_label': '125.2.d.a.26.1', 'source_level': 125, 'target_conrey_index': 321, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460048, 'target_is_minimal': False, 'target_label': '400.2.u.b.321.1', 'target_level': 400, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '100.79', 'twisting_conrey_index': 79, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 347875
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 2}
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id: 347876
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 3}
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id: 347877
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 206191984765, 'p': 5}
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id: 347878
{'charpoly_factorization': [[[-1, -1, 1], 2]], 'hecke_orbit_code': 206191984765, 'p': 7}
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id: 347879
{'charpoly_factorization': [[[16, -32, 24, 2, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 11}
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id: 347880
{'charpoly_factorization': [[[81, 54, 36, 9, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 13}
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id: 347881
{'charpoly_factorization': [[[16, -8, 24, 8, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 17}
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id: 347882
{'charpoly_factorization': [[[25, 50, 40, 5, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 19}
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id: 347883
{'charpoly_factorization': [[[961, -31, 51, -11, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 23}
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id: 347884
{'charpoly_factorization': [[[25, 0, 10, -5, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 29}
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id: 347885
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 31}
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id: 347886
{'charpoly_factorization': [[[1, -3, 19, -7, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 37}
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id: 347887
{'charpoly_factorization': [[[16, 8, 24, -8, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 41}
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id: 347888
{'charpoly_factorization': [[[-9, -3, 1], 2]], 'hecke_orbit_code': 206191984765, 'p': 43}
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id: 347889
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 47}
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id: 347890
{'charpoly_factorization': [[[361, 209, 61, 9, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 53}
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id: 347891
{'charpoly_factorization': [[[2025, -675, 90, 0, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 59}
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id: 347892
{'charpoly_factorization': [[[1681, -697, 139, -13, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 61}
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id: 347893
{'charpoly_factorization': [[[1936, -528, 64, -2, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 67}
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id: 347894
{'charpoly_factorization': [[[841, -87, 34, -8, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 71}
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id: 347895
{'charpoly_factorization': [[[6561, 729, 81, 9, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 73}
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id: 347896
{'charpoly_factorization': [[[625, -250, 100, -15, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 79}
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id: 347897
{'charpoly_factorization': [[[121, -11, 31, 9, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 83}
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id: 347898
{'charpoly_factorization': [[[6400, 1600, 240, 20, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 89}
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id: 347899
{'charpoly_factorization': [[[121, 77, 34, 8, 1], 1]], 'hecke_orbit_code': 206191984765, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '125.2.d.a', 'level': 125, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 25343000
{'hecke_orbit_code': 206191984765, 'n': 1, 'trace_an': 4}
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id: 25343001
{'hecke_orbit_code': 206191984765, 'n': 2, 'trace_an': 2}
-
id: 25343002
{'hecke_orbit_code': 206191984765, 'n': 3, 'trace_an': 1}
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id: 25343003
{'hecke_orbit_code': 206191984765, 'n': 4, 'trace_an': -2}
-
id: 25343004
{'hecke_orbit_code': 206191984765, 'n': 5, 'trace_an': 0}
-
id: 25343005
{'hecke_orbit_code': 206191984765, 'n': 6, 'trace_an': 3}
-
id: 25343006
{'hecke_orbit_code': 206191984765, 'n': 7, 'trace_an': 2}
-
id: 25343007
{'hecke_orbit_code': 206191984765, 'n': 8, 'trace_an': 5}
-
id: 25343008
{'hecke_orbit_code': 206191984765, 'n': 9, 'trace_an': 2}
-
id: 25343009
{'hecke_orbit_code': 206191984765, 'n': 10, 'trace_an': 0}
-
id: 25343010
{'hecke_orbit_code': 206191984765, 'n': 11, 'trace_an': -2}
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id: 25343011
{'hecke_orbit_code': 206191984765, 'n': 12, 'trace_an': -3}
-
id: 25343012
{'hecke_orbit_code': 206191984765, 'n': 13, 'trace_an': -9}
-
id: 25343013
{'hecke_orbit_code': 206191984765, 'n': 14, 'trace_an': 1}
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id: 25343014
{'hecke_orbit_code': 206191984765, 'n': 15, 'trace_an': 0}
-
id: 25343015
{'hecke_orbit_code': 206191984765, 'n': 16, 'trace_an': -6}
-
id: 25343016
{'hecke_orbit_code': 206191984765, 'n': 17, 'trace_an': -8}
-
id: 25343017
{'hecke_orbit_code': 206191984765, 'n': 18, 'trace_an': -4}
-
id: 25343018
{'hecke_orbit_code': 206191984765, 'n': 19, 'trace_an': -5}
-
id: 25343019
{'hecke_orbit_code': 206191984765, 'n': 20, 'trace_an': 0}
-
id: 25343020
{'hecke_orbit_code': 206191984765, 'n': 21, 'trace_an': -2}
-
id: 25343021
{'hecke_orbit_code': 206191984765, 'n': 22, 'trace_an': 14}
-
id: 25343022
{'hecke_orbit_code': 206191984765, 'n': 23, 'trace_an': 11}
-
id: 25343023
{'hecke_orbit_code': 206191984765, 'n': 24, 'trace_an': 0}
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