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mf_newforms • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 6, 5]], 'cm_discs': [], 'conrey_index': 751, 'conrey_indexes': [751, 901], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [36, 36, 6, -6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009123433645982, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1950.2.bc.c', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '78.2.i.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\zeta_{12}+\\zeta_{12}^{3})q^{2}-\\zeta_{12}^{2}q^{3}+(1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.bc', 'trace_display': [0, -2, 0, 6], 'trace_hash': 138282957865857740, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '62.512', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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12, -24, 12], [-2, 0, 4, 45], [0, 9, 38, 9], [-26, -3, -26, 0], [-1, 45, 1, -90], [12, 0, 12, 0], [6, 0, -12, 39], [-43, -3, -43, 0], [-3, 0, 3, 0], [22, 18, 0, -9], [-28, 0, 56, 24], [-34, -6, 17, 6], [4, 0, -4, 0], [-2, 30, 2, -60], [26, -9, -13, 9], [-44, 0, -44, 0], [8, 0, -16, -15], [-3, -6, -3, 0], [-45, 3, 45, -6], [0, -3, 27, -3], [-52, -6, 26, 6], [48, 24, 0, -12], [48, -9, -24, 9], [-13, 0, 26, 9], [-33, 42, 0, -21], [-7, -24, 0, 12], [11, 0, -22, 36], [-17, 9, -17, 0], [-60, -3, 60, 6], [0, 6, -30, 6], [-33, -9, 33, 18], [-28, -33, 14, 33], [-14, -42, -14, 0], [26, 24, -26, -48], [3, 0, 0, 0], [44, 24, 0, -12], [0, 24, 21, 24], [0, -12, -24, -12], [6, -57, -3, 57], [41, -24, -41, 48], [13, 0, -26, -60], [0, 3, 43, 3]], 'char_orbit_index': 29, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 9009123433645982, 'hecke_ring_character_values': [[1301, [1, 0, 0, 0]], [1327, [1, 0, 0, 0]], [301, [1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '1950.2.bc.c', 'level': 1950, 'maxp': 1999, 'weight': 2}
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 6, 5]], 'conrey_index': 751, 'cusp_dim': 792, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1924178904990, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 12, 12, 12, 12], 'label': '1950.2.bc', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 888, 'mf_new_dim': 88, 'num_forms': 11, 'prim_orbit_index': 5, 'relative_dim': 44, 'sturm_bound': 840, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, 44, 0, 0, 0, 0, -44, 0, -24, 0, 12, 0, 0, -44, -8, 0, 36, 0, 0, 0, 8, 0, 0, -20, 0, 0, -20, 0, 0, 0, -12, 0, 0, 44, -12, 0, 16, 0, 12, -4, 8, 0, 0, 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-32, 0, 0, 288, -276, 0, 0, -152, -120, 256, -60, 0, 240, 28, 164, 0, 0, 204, 0, 4, 340, 0], 'weight': 2, 'weight_parity': 1}
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id: 848859
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.i.b', 'target_level': 78, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 848860
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.i.b', 'target_level': 78, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 848861
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.l.a', 'target_level': 234, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 848862
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.l.a', 'target_level': 234, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '195.y', 'twisting_char_orbit': 25, 'weight': 2}
-
id: 848863
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.bv.d', 'target_level': 624, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 848864
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.bv.d', 'target_level': 624, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '260.w', 'twisting_char_orbit': 23, 'weight': 2}
-
id: 848865
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.a.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
-
id: 848866
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.a.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
-
id: 848867
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.b.d', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 848868
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.b.d', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 848869
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.e.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 848870
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.e.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
-
id: 848871
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.e.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 848872
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.e.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 848873
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.i.f', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 848874
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.i.f', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 848875
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.by.k', 'target_level': 1872, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 848876
{'conductor': 780, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.by.k', 'target_level': 1872, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '780.cb', 'twisting_char_orbit': 54, 'weight': 2}
-
id: 848877
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.y.a', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 848878
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.y.a', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848879
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1950.2.y.h', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 848880
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1950.2.y.h', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848881
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.bc.c', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 848882
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.bc.c', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 848883
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3042.2.a.s', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '195.bh', 'twisting_char_orbit': 34, 'weight': 2}
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id: 848884
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3042.2.a.v', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '195.bh', 'twisting_char_orbit': 34, 'weight': 2}
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id: 848885
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3042.2.b.l', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '195.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 848886
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3042.2.b.l', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '195.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 848887
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '8112.2.a.bq', 'target_level': 8112, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '260.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 848888
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 29, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1950.2.bc.c', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8112.2.a.bx', 'target_level': 8112, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '260.bc', 'twisting_char_orbit': 29, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2326225
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 2}
-
id: 2326226
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9009123433645982, 'p': 3}
-
id: 2326227
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009123433645982, 'p': 5}
-
id: 2326228
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 7}
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id: 2326229
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 11}
-
id: 2326230
{'charpoly_factorization': [[[169, -52, 3, -4, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 13}
-
id: 2326231
{'charpoly_factorization': [[[729, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 17}
-
id: 2326232
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 19}
-
id: 2326233
{'charpoly_factorization': [[[324, 108, 54, -6, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 23}
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id: 2326234
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 9009123433645982, 'p': 29}
-
id: 2326235
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 31}
-
id: 2326236
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 37}
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id: 2326237
{'charpoly_factorization': [[[9, -36, 51, -12, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 41}
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id: 2326238
{'charpoly_factorization': [[[676, -52, 30, 2, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 43}
-
id: 2326239
{'charpoly_factorization': [[[36, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 47}
-
id: 2326240
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 9009123433645982, 'p': 53}
-
id: 2326241
{'charpoly_factorization': [[[192, 24, 1], 2]], 'hecke_orbit_code': 9009123433645982, 'p': 59}
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id: 2326242
{'charpoly_factorization': [[[5329, 1460, 327, 20, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 61}
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id: 2326243
{'charpoly_factorization': [[[6084, 468, -66, -6, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 67}
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id: 2326244
{'charpoly_factorization': [[[324, -324, 126, -18, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 71}
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id: 2326245
{'charpoly_factorization': [[[147, 0, 1], 2]], 'hecke_orbit_code': 9009123433645982, 'p': 73}
-
id: 2326246
{'charpoly_factorization': [[[-104, 4, 1], 2]], 'hecke_orbit_code': 9009123433645982, 'p': 79}
-
id: 2326247
{'charpoly_factorization': [[[4356, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 83}
-
id: 2326248
{'charpoly_factorization': [[[576, -288, 24, 12, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 89}
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id: 2326249
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 9009123433645982, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 29, 'hecke_orbit': 3, 'label': '1950.2.bc.c', 'level': 1950, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 124405000
{'hecke_orbit_code': 9009123433645982, 'n': 1, 'trace_an': 4}
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id: 124405001
{'hecke_orbit_code': 9009123433645982, 'n': 2, 'trace_an': 0}
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id: 124405002
{'hecke_orbit_code': 9009123433645982, 'n': 3, 'trace_an': -2}
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id: 124405003
{'hecke_orbit_code': 9009123433645982, 'n': 4, 'trace_an': 2}
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id: 124405004
{'hecke_orbit_code': 9009123433645982, 'n': 5, 'trace_an': 0}
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id: 124405005
{'hecke_orbit_code': 9009123433645982, 'n': 6, 'trace_an': 0}
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id: 124405006
{'hecke_orbit_code': 9009123433645982, 'n': 7, 'trace_an': 6}
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id: 124405007
{'hecke_orbit_code': 9009123433645982, 'n': 8, 'trace_an': 0}
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id: 124405008
{'hecke_orbit_code': 9009123433645982, 'n': 9, 'trace_an': -2}
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