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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': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'cm_discs': [], 'conrey_index': 49, '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, [4, -4, 6, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505248928368542, 'hecke_ring_generator_nbound': 3, '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, 65, 12, 1, 6, 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': False, 'label': '1950.2.y.b', 'level': 1950, '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': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '78.2.i.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 12, 'qexp_display': 'q+(-1+\\zeta_{12}^{2})q^{2}+\\zeta_{12}q^{3}-\\zeta_{12}^{2}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.y', 'trace_display': [-2, 0, 0, -2], 'trace_hash': 770167644236746496, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.861', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.135', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.722', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
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'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '1950.2.y.b', 'level': 1950, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'conrey_index': 49, 'cusp_dim': 792, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1649300998046, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 12, 12], 'label': '1950.2.y', 'level': 1950, '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': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 888, 'mf_new_dim': 88, 'num_forms': 14, 'prim_orbit_index': 12, 'relative_dim': 44, 'sturm_bound': 840, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, -44, 0, 0, 0, 0, 44, 0, -24, 0, 0, -16, 0, -44, 0, 0, -36, 0, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, 0, 0, 0, 0, 0, 44, 0, 0, -12, 0, 96, 0, 0, 0, 0, 24, 0, 0, -64, 0, -48, 0, 0, 0, 0, 8, 0, 0, 72, 0, -24, 0, 0, 88, 0, 16, 0, 0, -40, 0, 48, 0, 0, 0, 0, 36, 0, 0, -8, 0, -44, 0, 0, 12, 0, 0, 0, 0, -72, 0, 12, 0, 0, 16, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 16, 0, 0, -48, 0, 124, 0, 0, 24, 0, -8, 0, 0, 72, 0, -48, 0, 0, -16, 0, 24, 0, 0, 100, 0, 120, 0, 0, -88, 0, 0, 0, 0, 72, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 88, 0, -36, 0, 0, 0, 0, 24, 0, 0, -16, 0, -168, 0, 0, -24, 0, 40, 0, 0, -12, 0, 48, 0, 0, -96, 0, 128, 0, 0, -84, 0, -36, 0, 0, 24, 0, -120, 0, 0, -32, 0, -48, 0, 0, 0, 0, 0, 0, 0, -108, 0, -40, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -72, 0, 0, 0, 0, -108, 0, 0, -24, 0, -16, 0, 0, 48, 0, -64, 0, 0, -96, 0, -44, 0, 0, 64, 0, -16, 0, 0, -8, 0, -96, 0, 0, -96, 0, 276, 0, 0, -64, 0, -40, 0, 0, -24, 0, 0, 0, 0, -48, 0, -112, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 36, 0, 0, 0, 0, -24, 0, 0, 4, 0, -240, 0, 0, 168, 0, 4, 0, 0, -24, 0, -144, 0, 0, 88, 0, 48, 0, 0, 152, 0, -60, 0, 0, 32, 0, -12, 0, 0, 96, 0, 120, 0, 0, 72, 0, 0, 0, 0, -108, 0, -24, 0, 0, 64, 0, 0, 0, 0, 0, 0, 80, 0, 0, -60, 0, -96, 0, 0, 0, 0, -168, 0, 0, 40, 0, -32, 0, 0, -36, 0, 68, 0, 0, 0, 0, 0, 0, 0, 176, 0, -304, 0, 0, -88, 0, -24, 0, 0, 44, 0, -288, 0, 0, 144, 0, -40, 0, 0, 192, 0, 0, 0, 0, 24, 0, 24, 0, 0, 136, 0, 0, 0, 0, 0, 0, 80, 0, 0, -40, 0, 264, 0, 0, 0, 0, 216, 0, 0, 116, 0, -128, 0, 0, -24, 0, 24, 0, 0, 0, 0, -40, 0, 0, -16, 0, 0, 0, 0, -24, 0, 408, 0, 0, -8, 0, 24, 0, 0, -120, 0, -20, 0, 0, -96, 0, 0, 0, 0, 168, 0, 32, 0, 0, 124, 0, 0, 0, 0, 0, 0, -168, 0, 0, 160, 0, -24, 0, 0, 0, 0, 96, 0, 0, -8, 0, 432, 0, 0, -480, 0, 124, 0, 0, 0, 0, -36, 0, 0, -48, 0, 96, 0, 0, 24, 0, -336, 0, 0, -76, 0, 72, 0, 0, -96, 0, -16, 0, 0, -96, 0, 0, 0, 0, -24, 0, 24, 0, 0, 24, 0, 0, 0, 0, 0, 0, 100, 0, 0, -124, 0, 144, 0, 0, 0, 0, -168, 0, 0, 24, 0, 152, 0, 0, 192, 0, 44, 0, 0, 180, 0, 528, 0, 0, 0, 0, 320, 0, 0, 136, 0, -336, 0, 0, 8, 0, -72, 0, 0, 288, 0, 20, 0, 0, -60, 0, 0, 0, 0, -96, 0, -232, 0, 0, -208, 0, 0, 0, 0, 0, 0, 40, 0, 0, -12, 0, -384, 0, 0, 0, 0, -228, 0, 0, -120, 0, 0, 0, 0, 48, 0, -432, 0, 0, -96, 0, -88, 0, 0, 48, 0, -80, 0, 0, 8, 0, -96, 0, 0, -176, 0, -36, 0, 0, -176, 0, 0, 0, 0, 36, 0, 0, 0, 0, 240, 0, -44, 0, 0, -264, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 252, 0, 0, 0, 0, -24, 0, 0, -88, 0, 512, 0, 0, -24, 0, -64, 0, 0, 372, 0, -4, 0, 0, 256, 0, 32, 0, 0, 56, 0, -252, 0, 0, 84, 0, 96, 0, 0, -88, 0, 208, 0, 0, 72, 0, 0, 0, 0, -480, 0, -16, 0, 0, 40, 0, 0, 0, 0, 0, 0, -152, 0, 0, 32, 0, 12, 0, 0, 0, 0, 0, 0, 0, 48, 0, -48, 0, 0, 108, 0, 96, 0, 0, -72, 0, 48, 0, 0, -496, 0, -336, 0, 0, -64, 0, 96, 0, 0, -32, 0, -384, 0, 0, -192, 0, -84, 0, 0, 0, 0, 0, 0, 0, 36, 0, -208, 0, 0, -192, 0, 0, 0, 0, 0, 0, 24, 0, 0, 60, 0, 192, 0, 0, 0, 0, 408, 0, 0, 12, 0, -232, 0, 0, -96, 0, 16, 0, 0, -24, 0, 76, 0, 0, 96, 0, 32, 0, 0, -232, 0, 528, 0, 0, -168, 0, 0, 0, 0, 680, 0, -128, 0, 0, 0, 0, 0, 0, 0, 1032, 0, 220, 0, 0, -16, 0, 0, 0, 0, 0, 0, 96, 0, 0, -16, 0, -336, 0, 0, 0, 0, 24, 0, 0, 8, 0, -16, 0, 0, -96, 0, 24, 0, 0, -48, 0, -56, 0, 0, -144, 0, 672, 0, 0, 16, 0, 36, 0, 0, -12, 0, 432, 0, 0, 16, 0, 32, 0, 0, 0, 0, 0, 0, 0, 192, 0, -24, 0, 0, 44, 0, 0, 0, 0, 0, 0, -8, 0, 0, 288, 0, 168, 0, 0, 0, 0, -96, 0, 0, -64, 0, -584, 0, 0, 108, 0, 64, 0, 0, -24, 0, 120, 0, 0, -528, 0, 48, 0, 0, 160, 0, -216, 0, 0, 8, 0, -720, 0, 0, -128, 0, -108, 0, 0, -216, 0, 0, 0, 0, 24, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 848411
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.i.a', 'target_level': 78, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 848412
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.i.a', 'target_level': 78, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848413
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '234.2.l.c', 'target_level': 234, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 848414
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '234.2.l.c', 'target_level': 234, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '195.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 848415
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.bv.e', 'target_level': 624, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 848416
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.bv.e', 'target_level': 624, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '260.bg', 'twisting_char_orbit': 33, 'weight': 2}
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id: 848417
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1014.2.a.i', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 848418
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1014.2.a.k', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 848419
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.b.e', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 848420
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.b.e', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848421
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.2.e.g', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 848422
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.2.e.g', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 848423
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1014.2.e.i', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 848424
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1014.2.e.i', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 848425
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1014.2.i.a', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 848426
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1014.2.i.a', 'target_level': 1014, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 848427
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1872.2.by.h', 'target_level': 1872, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 848428
{'conductor': 780, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1872.2.by.h', 'target_level': 1872, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '780.cw', 'twisting_char_orbit': 75, 'weight': 2}
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id: 848429
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.y.b', 'target_level': 1950, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 848430
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.y.b', 'target_level': 1950, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 848431
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.y.g', 'target_level': 1950, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 848432
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.y.g', 'target_level': 1950, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 848433
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.bc.d', 'target_level': 1950, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 848434
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.bc.d', 'target_level': 1950, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848435
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3042.2.a.p', 'target_level': 3042, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '195.bn', 'twisting_char_orbit': 40, 'weight': 2}
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id: 848436
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3042.2.a.y', 'target_level': 3042, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '195.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 848437
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3042.2.b.i', 'target_level': 3042, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '195.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 848438
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3042.2.b.i', 'target_level': 3042, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '195.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 848439
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '8112.2.a.bj', 'target_level': 8112, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '260.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 848440
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1950.2.y.b', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '8112.2.a.bp', 'target_level': 8112, 'twist_class_label': '78.2.i.a', 'twist_class_level': 78, 'twisting_char_label': '260.be', 'twisting_char_orbit': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2325375
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4505248928368542, 'p': 2}
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id: 2325376
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 3}
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id: 2325377
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505248928368542, 'p': 5}
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id: 2325378
{'charpoly_factorization': [[[4, -4, 6, 2, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 7}
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id: 2325379
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 11}
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id: 2325380
{'charpoly_factorization': [[[13, 5, 1], 2]], 'hecke_orbit_code': 4505248928368542, 'p': 13}
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id: 2325381
{'charpoly_factorization': [[[169, -78, -1, 6, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 17}
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id: 2325382
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 19}
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id: 2325383
{'charpoly_factorization': [[[676, -468, 134, -18, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 23}
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id: 2325384
{'charpoly_factorization': [[[121, -22, 15, 2, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 29}
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id: 2325385
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 31}
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id: 2325386
{'charpoly_factorization': [[[1369, -518, 159, -14, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 37}
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id: 2325387
{'charpoly_factorization': [[[11449, -3852, 539, -36, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 41}
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id: 2325388
{'charpoly_factorization': [[[5476, -2220, 374, -30, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 43}
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id: 2325389
{'charpoly_factorization': [[[-18, -6, 1], 2]], 'hecke_orbit_code': 4505248928368542, 'p': 47}
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id: 2325390
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 53}
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id: 2325391
{'charpoly_factorization': [[[4096, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 59}
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id: 2325392
{'charpoly_factorization': [[[121, 88, 75, -8, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 61}
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id: 2325393
{'charpoly_factorization': [[[21316, -292, 150, 2, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 67}
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id: 2325394
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 71}
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id: 2325395
{'charpoly_factorization': [[[61, 16, 1], 2]], 'hecke_orbit_code': 4505248928368542, 'p': 73}
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id: 2325396
{'charpoly_factorization': [[[24, -12, 1], 2]], 'hecke_orbit_code': 4505248928368542, 'p': 79}
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id: 2325397
{'charpoly_factorization': [[[-2, 10, 1], 2]], 'hecke_orbit_code': 4505248928368542, 'p': 83}
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id: 2325398
{'charpoly_factorization': [[[576, 288, 24, -12, 1], 1]], 'hecke_orbit_code': 4505248928368542, 'p': 89}
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id: 2325399
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 4505248928368542, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 25, 'hecke_orbit': 2, 'label': '1950.2.y.b', '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: 25003531
{'hecke_orbit_code': 4505248928368542, 'n': 1, 'trace_an': 4}
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id: 25003532
{'hecke_orbit_code': 4505248928368542, 'n': 2, 'trace_an': -2}
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id: 25003533
{'hecke_orbit_code': 4505248928368542, 'n': 3, 'trace_an': 0}
-
id: 25003534
{'hecke_orbit_code': 4505248928368542, 'n': 4, 'trace_an': -2}
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id: 25003535
{'hecke_orbit_code': 4505248928368542, 'n': 5, 'trace_an': 0}
-
id: 25003536
{'hecke_orbit_code': 4505248928368542, 'n': 6, 'trace_an': 0}
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id: 25003537
{'hecke_orbit_code': 4505248928368542, 'n': 7, 'trace_an': -2}
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id: 25003538
{'hecke_orbit_code': 4505248928368542, 'n': 8, 'trace_an': 4}
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id: 25003539
{'hecke_orbit_code': 4505248928368542, 'n': 9, 'trace_an': 2}
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id: 25003540
{'hecke_orbit_code': 4505248928368542, 'n': 10, 'trace_an': 0}
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id: 25003541
{'hecke_orbit_code': 4505248928368542, 'n': 11, 'trace_an': -6}
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id: 25003542
{'hecke_orbit_code': 4505248928368542, 'n': 12, 'trace_an': 0}
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id: 25003543
{'hecke_orbit_code': 4505248928368542, 'n': 13, 'trace_an': -10}
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id: 25003544
{'hecke_orbit_code': 4505248928368542, 'n': 14, 'trace_an': 4}
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id: 25003545
{'hecke_orbit_code': 4505248928368542, 'n': 15, 'trace_an': 0}
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id: 25003546
{'hecke_orbit_code': 4505248928368542, 'n': 16, 'trace_an': -2}
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id: 25003547
{'hecke_orbit_code': 4505248928368542, 'n': 17, 'trace_an': -6}
-
id: 25003548
{'hecke_orbit_code': 4505248928368542, 'n': 18, 'trace_an': -4}
-
id: 25003549
{'hecke_orbit_code': 4505248928368542, 'n': 19, 'trace_an': -6}
-
id: 25003550
{'hecke_orbit_code': 4505248928368542, 'n': 20, 'trace_an': 0}
-
id: 25003551
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