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mf_newforms • Show schema
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{'Nk2': 416, 'analytic_conductor': 0.830444181021316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 104, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [104, 2, [79, 53, 41], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 77, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, 1]], [5, [1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538831976, '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, 104, 5, 1, 2, 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': '104.2.e.b', 'level': 104, '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, 13], 'level_radical': 26, 'minimal_twist': '104.2.e.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(i+1)q^{2}+i q^{3}+2 i q^{4}-q^{5}+\\cdots', 'related_objects': ['EllipticCurve/2.2.104.1/1.1/b', 'ModularForm/GL2/TotallyReal/2.2.104.1/holomorphic/2.2.104.1-1.1-b'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '104.2.e', 'trace_display': [2, 0, -2, 0], 'trace_hash': 1002067408003474231, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.922', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.679', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.820', 'prec': 17}, {'__RealLiteral__': 0, 'data': '142.617', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.517', 'prec': 17}, 'traces': [2, 2, 0, 0, -2, -2, 0, -4, 4, -2, -4, -4, 6, 6, 0, -8, 6, 4, 0, 0, 6, -4, -12, -4, -8, 10, 0, 12, 0, 2, 0, -8, 0, 6, 0, 0, -6, 0, 4, 4, 0, 6, 0, 0, -4, -12, 0, 0, -4, -8, 0, 8, 0, -10, 4, 12, 0, 12, -20, 4, 0, 0, 0, 0, -6, 4, 24, 0, 0, -6, 0, -8, 0, -6, 0, 0, 0, -2, 0, 8, 2, -20, 32, 0, -6, 18, 12, 8, 0, -4, -12, 0, 0, -14, 0, 8, 0, -4, -8, 0, 0, -6, 8, -4, -6, -12, 0, -20, -30, 4, 0, 0, -12, 0, 12, 24, 12, -20, 0, 4, -14, -20, -20, 0, 18, 12, 36, 16, 18, -10, 0, 8, 0, 24, 0, -12, 0, 12, 0, -12, -14, -10, -12, -16, 0, 12, 0, 0, 20, 8, 0, 0, 12, -12, 0, -12, 0, 0, -12, 8, 0, 2, 12, -40, 0, 32, 0, -12, 10, -6, 0, 36, 0, 12, 0, 16, 0, 8, 0, 0, 0, 6, -20, 24, 6, 0, -12, -28, 30, 0, -36, 16, 0, 36, -4, 0, -46, -8, 0, 16, 0, 0, -36, -12, 0, 8, -24, -24, 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104, 0, 0, 30, 0, -64, 0, -60, 0, -36], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [0, 1], [0, 2], [-1, 0], [-1, 1], [0, -3], [-2, 2], [2, 0], [-1, -1], [-2, 0], [-2, 0], [3, -2], [3, -3], [0, -1], [-4, 0], [3, 0], [2, 2], [0, 0], [0, -2], [3, 0], [-2, -2], [-6, 0], [-2, -2], [-4, 0], [5, 1], [0, 5], [6, 0], [0, -6], [1, -1], [0, 0], [-4, -4], [0, -2], [3, 3], [0, 3], [0, 4], [-3, 0], [0, 0], [2, 3], [2, -2], [0, 10], [3, 3], [0, -9], [0, -4], [-2, 0], [-6, -6], [0, 7], [0, -4], [-2, 0], [-4, -4], [0, 3], [4, 6], [0, 6], [-5, 5], [2, 0], [6, 6], [0, 0], [6, -6], [-10, 0], [2, 0], [0, 10], [0, 0], [0, -6], [0, -8], [-3, 2], [2, -2], [12, 0], [0, 6], [0, -6], [-3, 3], [0, 5], [-4, 4], [0, -6], [-3, -3], [0, -4], [0, 0], [0, 6], [-1, 5], [0, 0], [4, 0], [1, 0], [-10, 10], [16, 0], [0, 6], [-3, 0], [9, -9], [6, 0], [4, -4], [0, -4], [-2, -2], [-6, -9], [0, -12], [0, 0], [-7, 7], [0, 0], [4, -4], [0, -18], [-2, -2], [-4, 0], [0, -8]], 'ap': [[1, 1], [0, 1], [-1, 0], [0, -3], [-2, 0], [3, -2], [3, 0], [0, 0], [-6, 0], [0, -6], [0, 0], [-3, 0], [0, 10], [0, -9], [0, 7], [0, 6], [-10, 0], [0, 10], [12, 0], [0, 5], [0, -6], [0, 0], [16, 0], [0, -4], [0, -18], [0, 0], [4, 0], [0, -12], [-15, 0], [-6, 0], [18, 0], [0, 15], [0, 2], [0, 9], [10, 0], [0, 15], [0, 18], [6, 0], [0, -8], [0, -24], [0, 9], [0, 0], [-18, 0], [0, 24], [-23, 0], [0, 0], [0, -5], [0, -21], [2, 0], [15, 0], [9, 0], [0, -19], [0, 0], [0, 0], [3, 0], [-6, 0], [0, -6], [0, 15], [0, 18], [0, -20], [0, -4], [1, 0], [-18, 0], [12, 0], [9, 0], [2, 0], [-12, 0], [-27, 0], [0, -27], [15, 0], [0, -16], [0, -4], [28, 0], [0, -4], [30, 0], [0, -1], [0, -6], [-18, 0], [0, 10], [0, 6], [0, 9], [3, 0], [0, 5], [9, 0], [-10, 0], [0, -9], [0, -14], [0, 12], [-7, 0], [0, 24], [0, -12], [0, -29], [0, 12], [0, 15], [-30, 0], [24, 0], [10, 0], [-3, 0], [0, 36], [33, 0], [0, -27], [-23, 0], [0, 21], [15, 0], [0, 5], [0, -18], [2, 0], [0, 14], [-30, 0], [27, 0], [-22, 0], [6, 0], [0, -8], [30, 0], [0, -45], [-18, 0], [-24, 0], [18, 0], [0, -24], [0, -36], [18, 0], [19, 0], [0, -12], [-4, 0], [-12, 0], [0, 30], [-30, 0], [0, 0], [18, 0], [51, 0], [-30, 0], [0, 19], [22, 0], [0, 38], [0, -10], [0, 36], [-49, 0], [-18, 0], [0, -12], [-15, 0], [-12, 0], [43, 0], [14, 0], [32, 0], [0, -16], [0, 16], [-9, 0], [-42, 0], [0, 4], [0, 49], [-33, 0], [-33, 0], [0, -29], [-42, 0], [0, -17], [42, 0], [0, 0], [0, 56], [18, 0], [-17, 0], [2, 0], [-21, 0], [0, 57], [0, -45], [0, -28], [0, -11], [52, 0], [0, 18]], 'char_orbit_index': 5, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503874538831976, 'hecke_ring_character_values': [[79, [1, 0]], [53, [-1, 0]], [41, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '104.2.e.b', 'level': 104, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 416, 'analytic_conductor': 0.830444181021316, 'char_conductor': 104, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [104, 2, [79, 53, 41], [2, 1, 1]], 'conrey_index': 77, 'cusp_dim': 12, 'dim': 12, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 274911461480, 'hecke_orbit_dims': [2, 2, 8], 'label': '104.2.e', 'level': 104, '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, 13], 'level_radical': 26, 'mf_dim': 16, 'mf_new_dim': 16, 'num_forms': 3, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 28, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, -2, 0, 0, 0, 0, -12, -10, 0, 14, 0, -6, 0, -6, -8, 0, 0, 0, 0, 12, 8, 0, -4, -2, 0, 0, 0, 18, 0, 0, 0, 0, 0, -36, 0, -36, 16, -18, 0, 34, 0, 0, 0, 0, 0, 30, 12, 0, 0, 12, 0, 0, -56, 38, 0, 0, 0, 0, 0, 40, 0, -38, 0, 16, 0, 46, 0, 0, 0, 0, 0, -34, 0, 0, 0, -34, 16, 0, 4, -40, 0, 0, 0, 0, 8, 48, 0, 48, 0, -8, 0, -46, -16, 0, 0, 0, 0, -44, 0, 0, 48, -30, 16, 0, 0, -70, 0, 0, 0, 0, 16, -80, 0, 56, 0, -4, 0, -94, -12, 0, 0, 0, 0, 28, -24, 0, -8, 64, 0, 0, 0, 100, 0, 0, 0, 0, 0, -38, 0, -30, -64, -16, 0, 88, 0, 0, 0, 0, 0, 8, -8, 0, 0, 80, 0, 0, 152, 94, 0, 0, 0, 0, 0, 68, 0, -38, -28, -38, 0, 94, 0, 0, 0, 0, 0, -48, 0, 0, 0, -28, -40, 0, -16, -140, 0, 0, 0, 0, 8, 134, 0, 64, 0, 36, 0, -148, 0, 0, 0, 0, 0, -38, 0, 0, -128, -80, -56, 0, 0, -136, 0, 0, 0, 0, 80, -26, 0, 16, 0, -46, 0, -106, 20, 0, 0, 0, 0, 0, -8, 0, 56, 100, 0, 0, 0, 122, 0, 0, 0, 0, 0, -80, 0, -40, 72, 60, 0, 98, 0, 0, 0, 0, 0, 2, -64, 0, 0, 38, 0, 0, -152, 192, 0, 0, 0, 0, 0, 150, 0, -114, -8, 64, 0, 136, 0, 0, 0, 0, 0, -6, 0, 0, 0, -92, 120, 0, -36, -168, 0, 0, 0, 0, 56, 38, 0, 44, 0, 24, 0, -150, 0, 0, 0, 0, 0, -56, 0, 0, 144, -98, -32, 0, 0, -168, 0, 0, 0, 0, -24, -144, 0, 82, 0, 28, 0, -80, 48, 0, 0, 0, 0, 64, 48, 0, 32, 56, 0, 0, 0, 172, 0, 0, 0, 0, 0, -160, 0, -116, -120, -64, 0, 120, 0, 0, 0, 0, 0, 40, 4, 0, 0, 94, 0, 0, 176, 136, 0, 0, 0, 0, 0, 8, 0, -42, 104, 30, 0, 168, 0, 0, 0, 0, 0, -32, 0, 0, 0, -96, -152, 0, 40, -114, 0, 0, 0, 0, -160, 120, 0, 104, 0, 0, 0, -64, 8, 0, 0, 0, 0, -8, 0, 0, -208, -30, 128, 0, 0, -130, 0, 0, 0, 0, -160, -190, 0, 132, 0, -22, 0, -190, -72, 0, 0, 0, 0, 128, -56, 0, -148, 30, 0, 0, 0, 218, 0, 0, 0, 0, 0, -92, 0, -84, 168, -120, 0, 166, 0, 0, 0, 0, 0, 160, 120, 0, 0, 124, 0, 0, -264, 72, 0, 0, 0, 0, 0, 122, 0, -62, 8, -80, 0, 78, 0, 0, 0, 0, 0, -48, 0, 0, 0, -60, 176, 0, 40, -128, 0, 0, 0, 0, 96, 136, 0, 128, 0, 24, 0, -146, 56, 0, 0, 0, 0, -30, 0, 0, 272, -72, 16, 0, 0, -170, 0, 0, 0, 0, -4, -32, 0, 80, 0, -88, 0, -144, -112, 0, 0, 0, 0, 50, 160, 0, -16, 88, 0, 0, 0, -20, 0, 0, 0, 0, 0, -154, 0, -100, -64, 130, 0, 160, 0, 0, 0, 0, 0, 150, 80, 0, 0, -72, 0, 0, 144, 136, 0, 0, 0, 0, 0, 264, 0, -184, -136, 158, 0, 112, 0, 0, 0, 0, 0, -120, 0, 0, 0, -128, -280, 0, -24, -86, 0, 0, 0, 0, -184, -24, 0, 40, 0, 8, 0, -84, 40, 0, 0, 0, 0, -60, 0, 0, -176, -104, -116, 0, 0, -48, 0, 0, 0, 0, 120, -124, 0, 120, 0, 104, 0, -90, 176, 0, 0, 0, 0, 8, -168, 0, 136, -28, 0, 0, 0, 90, 0, 0, 0, 0, 0, -192, 0, -164, 168, -56, 0, 72, 0, 0, 0, 0, 0, -6, -104, 0, 0, 94, 0, 0, -232, 130, 0, 0, 0, 0, 0, -70, 0, 30, 16, 32, 0, 104, 0, 0, 0, 0, 0, -114, 0, 0, 0, -30, 160, 0, 56, -152, 0, 0, 0, 0, 288, 264, 0, 22, 0, -34, 0, -88, -144, 0, 0, 0, 0, -80, 0, 0, 312, -24, -36, 0, 0, 0, 0, 0, 0, 0, -88, -80, 0, 130, 0, -16, 0, -60, 144, 0, 0, 0, 0, 38, 136, 0, -40, 64, 0, 0, 0, 84, 0, 0, 0, 0, 0, 144, 0, -22, -192, -130, 0, 168, 0, 0, 0, 0, 0, -32, -152, 0, 0, 98, 0, 0, 440, 16, 0, 0, 0, 0, 0, 152, 0, -48, 80, -60, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 100, -312, 0, 0, -86, 0, 0, 0, 0, -168, 130, 0, 192, 0, 80, 0, -96, 56, 0, 0, 0, 0, -144, 0, 0, -424, -8, 8, 0, 0, -232, 0, 0, 0, 0, -100, 22, 0, -10, 0, -52, 0, -120, -88, 0, 0, 0, 0, 120, -288, 0, -168, 168, 0, 0, 0, 50, 0, 0, 0, 0, 0, -20, 0, 152, 40, 158, 0, -144, 0, 0, 0, 0, 0, -112, 128, 0, 0, -24, 0, 0, -168, -22, 0, 0, 0, 0, 0, 60, 0, -82, -16, 32, 0, 28, 0, 0, 0, 0, 0, 50, 0, 0, 0, -22, 424, 0, 24, -136, 0, 0, 0, 0, 320, -152, 0, -74, 0, 160, 0, -72, -48, 0, 0, 0, 0, 118, 0, 0, 184, 8, 72, 0, 0, 42, 0, 0, 0, 0, 200, -64, 0, -120, 0, 28, 0, -86, -112, 0, 0, 0, 0, -38, 168, 0, 12, -88, 0, 0, 0, 16, 0, 0, 0, 0, 0, -136, 0, -136, -184, 0, 0, -88, 0, 0, 0, 0, 0, 80, 64, 0, 0, 64, 0, 0, 336, 220, 0, 0, 0, 0, 0, -164, 0, -22], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 91771
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '104.2.e.a', 'target_level': 104, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 91772
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '104.2.e.a', 'target_level': 104, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 91773
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '104.2.e.b', 'target_level': 104, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 91774
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '104.2.e.b', 'target_level': 104, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '104.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 91775
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '416.2.e.a', 'target_level': 416, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 91776
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '416.2.e.a', 'target_level': 416, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '104.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 91777
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '416.2.e.b', 'target_level': 416, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 91778
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '416.2.e.b', 'target_level': 416, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 91779
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '936.2.m.b', 'target_level': 936, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 91780
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '936.2.m.b', 'target_level': 936, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '312.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 91781
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '936.2.m.c', 'target_level': 936, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 91782
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '936.2.m.c', 'target_level': 936, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 91783
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3744.2.m.b', 'target_level': 3744, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 91784
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3744.2.m.b', 'target_level': 3744, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 91785
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3744.2.m.c', 'target_level': 3744, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 91786
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '104.2.e.b', 'source_level': 104, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3744.2.m.c', 'target_level': 3744, 'twist_class_label': '104.2.e.a', 'twist_class_level': 104, 'twisting_char_label': '312.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 306400
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 2}
-
id: 306401
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 3}
-
id: 306402
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 5}
-
id: 306403
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 7}
-
id: 306404
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 11}
-
id: 306405
{'charpoly_factorization': [[[13, -6, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 13}
-
id: 306406
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 17}
-
id: 306407
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 19}
-
id: 306408
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 23}
-
id: 306409
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 29}
-
id: 306410
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 31}
-
id: 306411
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 37}
-
id: 306412
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 41}
-
id: 306413
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 43}
-
id: 306414
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 47}
-
id: 306415
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 53}
-
id: 306416
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 59}
-
id: 306417
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 61}
-
id: 306418
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 67}
-
id: 306419
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 71}
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id: 306420
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 73}
-
id: 306421
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 79}
-
id: 306422
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 4503874538831976, 'p': 83}
-
id: 306423
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 89}
-
id: 306424
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 4503874538831976, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '104.2.e.b', 'level': 104, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 21964807
{'hecke_orbit_code': 4503874538831976, 'n': 1, 'trace_an': 2}
-
id: 21964808
{'hecke_orbit_code': 4503874538831976, 'n': 2, 'trace_an': 2}
-
id: 21964809
{'hecke_orbit_code': 4503874538831976, 'n': 3, 'trace_an': 0}
-
id: 21964810
{'hecke_orbit_code': 4503874538831976, 'n': 4, 'trace_an': 0}
-
id: 21964811
{'hecke_orbit_code': 4503874538831976, 'n': 5, 'trace_an': -2}
-
id: 21964812
{'hecke_orbit_code': 4503874538831976, 'n': 6, 'trace_an': -2}
-
id: 21964813
{'hecke_orbit_code': 4503874538831976, 'n': 7, 'trace_an': 0}
-
id: 21964814
{'hecke_orbit_code': 4503874538831976, 'n': 8, 'trace_an': -4}
-
id: 21964815
{'hecke_orbit_code': 4503874538831976, 'n': 9, 'trace_an': 4}
-
id: 21964816
{'hecke_orbit_code': 4503874538831976, 'n': 10, 'trace_an': -2}
-
id: 21964817
{'hecke_orbit_code': 4503874538831976, 'n': 11, 'trace_an': -4}
-
id: 21964818
{'hecke_orbit_code': 4503874538831976, 'n': 12, 'trace_an': -4}
-
id: 21964819
{'hecke_orbit_code': 4503874538831976, 'n': 13, 'trace_an': 6}
-
id: 21964820
{'hecke_orbit_code': 4503874538831976, 'n': 14, 'trace_an': 6}
-
id: 21964821
{'hecke_orbit_code': 4503874538831976, 'n': 15, 'trace_an': 0}
-
id: 21964822
{'hecke_orbit_code': 4503874538831976, 'n': 16, 'trace_an': -8}
-
id: 21964823
{'hecke_orbit_code': 4503874538831976, 'n': 17, 'trace_an': 6}
-
id: 21964824
{'hecke_orbit_code': 4503874538831976, 'n': 18, 'trace_an': 4}
-
id: 21964825
{'hecke_orbit_code': 4503874538831976, 'n': 19, 'trace_an': 0}
-
id: 21964826
{'hecke_orbit_code': 4503874538831976, 'n': 20, 'trace_an': 0}
-
id: 21964827
{'hecke_orbit_code': 4503874538831976, 'n': 21, 'trace_an': 6}
-
id: 21964828
{'hecke_orbit_code': 4503874538831976, 'n': 22, 'trace_an': -4}
-
id: 21964829
{'hecke_orbit_code': 4503874538831976, 'n': 23, 'trace_an': -12}
-
id: 21964830
{'hecke_orbit_code': 4503874538831976, 'n': 24, 'trace_an': -4}
-
id: 21964831
{'hecke_orbit_code': 4503874538831976, 'n': 25, 'trace_an': -8}
-
id: 21964832
{'hecke_orbit_code': 4503874538831976, 'n': 26, 'trace_an': 10}
-
id: 21964833
{'hecke_orbit_code': 4503874538831976, 'n': 27, 'trace_an': 0}
-
id: 21964834
{'hecke_orbit_code': 4503874538831976, 'n': 28, 'trace_an': 12}
-
id: 21964835
{'hecke_orbit_code': 4503874538831976, 'n': 29, 'trace_an': 0}
-
id: 21964836
{'hecke_orbit_code': 4503874538831976, 'n': 30, 'trace_an': 2}
-
id: 21964837
{'hecke_orbit_code': 4503874538831976, 'n': 31, 'trace_an': 0}
-
id: 21964838
{'hecke_orbit_code': 4503874538831976, 'n': 32, 'trace_an': -8}
-
id: 21964839
{'hecke_orbit_code': 4503874538831976, 'n': 33, 'trace_an': 0}
-
id: 21964840
{'hecke_orbit_code': 4503874538831976, 'n': 34, 'trace_an': 6}
-
id: 21964841
{'hecke_orbit_code': 4503874538831976, 'n': 35, 'trace_an': 0}
-
id: 21964842
{'hecke_orbit_code': 4503874538831976, 'n': 36, 'trace_an': 0}
-
id: 21964843
{'hecke_orbit_code': 4503874538831976, 'n': 37, 'trace_an': -6}
-
id: 21964844
{'hecke_orbit_code': 4503874538831976, 'n': 38, 'trace_an': 0}
-
id: 21964845
{'hecke_orbit_code': 4503874538831976, 'n': 39, 'trace_an': 4}
-
id: 21964846
{'hecke_orbit_code': 4503874538831976, 'n': 40, 'trace_an': 4}
-
id: 21964847
{'hecke_orbit_code': 4503874538831976, 'n': 41, 'trace_an': 0}
-
id: 21964848
{'hecke_orbit_code': 4503874538831976, 'n': 42, 'trace_an': 6}
-
id: 21964849
{'hecke_orbit_code': 4503874538831976, 'n': 43, 'trace_an': 0}
-
id: 21964850
{'hecke_orbit_code': 4503874538831976, 'n': 44, 'trace_an': 0}
-
id: 21964851
{'hecke_orbit_code': 4503874538831976, 'n': 45, 'trace_an': -4}
-
id: 21964852
{'hecke_orbit_code': 4503874538831976, 'n': 46, 'trace_an': -12}
-
id: 21964853
{'hecke_orbit_code': 4503874538831976, 'n': 47, 'trace_an': 0}
-
id: 21964854
{'hecke_orbit_code': 4503874538831976, 'n': 48, 'trace_an': 0}
-
id: 21964855
{'hecke_orbit_code': 4503874538831976, 'n': 49, 'trace_an': -4}
-
id: 21964856
{'hecke_orbit_code': 4503874538831976, 'n': 50, 'trace_an': -8}
-
id: 21964857
{'hecke_orbit_code': 4503874538831976, 'n': 51, 'trace_an': 0}
-
id: 21964858
{'hecke_orbit_code': 4503874538831976, 'n': 52, 'trace_an': 8}
-
id: 21964859
{'hecke_orbit_code': 4503874538831976, 'n': 53, 'trace_an': 0}
-
id: 21964860
{'hecke_orbit_code': 4503874538831976, 'n': 54, 'trace_an': -10}
-
id: 21964861
{'hecke_orbit_code': 4503874538831976, 'n': 55, 'trace_an': 4}
-
id: 21964862
{'hecke_orbit_code': 4503874538831976, 'n': 56, 'trace_an': 12}
-
id: 21964863
{'hecke_orbit_code': 4503874538831976, 'n': 57, 'trace_an': 0}
-
id: 21964864
{'hecke_orbit_code': 4503874538831976, 'n': 58, 'trace_an': 12}
-
id: 21964865
{'hecke_orbit_code': 4503874538831976, 'n': 59, 'trace_an': -20}
-
id: 21964866
{'hecke_orbit_code': 4503874538831976, 'n': 60, 'trace_an': 4}
-
id: 21964867
{'hecke_orbit_code': 4503874538831976, 'n': 61, 'trace_an': 0}
-
id: 21964868
{'hecke_orbit_code': 4503874538831976, 'n': 62, 'trace_an': 0}
-
id: 21964869
{'hecke_orbit_code': 4503874538831976, 'n': 63, 'trace_an': 0}
-
id: 21964870
{'hecke_orbit_code': 4503874538831976, 'n': 64, 'trace_an': 0}
-
id: 21964871
{'hecke_orbit_code': 4503874538831976, 'n': 65, 'trace_an': -6}
-
id: 21964872
{'hecke_orbit_code': 4503874538831976, 'n': 66, 'trace_an': 4}
-
id: 21964873
{'hecke_orbit_code': 4503874538831976, 'n': 67, 'trace_an': 24}
-
id: 21964874
{'hecke_orbit_code': 4503874538831976, 'n': 68, 'trace_an': 0}
-
id: 21964875
{'hecke_orbit_code': 4503874538831976, 'n': 69, 'trace_an': 0}
-
id: 21964876
{'hecke_orbit_code': 4503874538831976, 'n': 70, 'trace_an': -6}
-
id: 21964877
{'hecke_orbit_code': 4503874538831976, 'n': 71, 'trace_an': 0}
-
id: 21964878
{'hecke_orbit_code': 4503874538831976, 'n': 72, 'trace_an': -8}
-
id: 21964879
{'hecke_orbit_code': 4503874538831976, 'n': 73, 'trace_an': 0}
-
id: 21964880
{'hecke_orbit_code': 4503874538831976, 'n': 74, 'trace_an': -6}
-
id: 21964881
{'hecke_orbit_code': 4503874538831976, 'n': 75, 'trace_an': 0}
-
id: 21964882
{'hecke_orbit_code': 4503874538831976, 'n': 76, 'trace_an': 0}
-
id: 21964883
{'hecke_orbit_code': 4503874538831976, 'n': 77, 'trace_an': 0}
-
id: 21964884
{'hecke_orbit_code': 4503874538831976, 'n': 78, 'trace_an': -2}
-
id: 21964885
{'hecke_orbit_code': 4503874538831976, 'n': 79, 'trace_an': 0}
-
id: 21964886
{'hecke_orbit_code': 4503874538831976, 'n': 80, 'trace_an': 8}
-
id: 21964887
{'hecke_orbit_code': 4503874538831976, 'n': 81, 'trace_an': 2}
-
id: 21964888
{'hecke_orbit_code': 4503874538831976, 'n': 82, 'trace_an': -20}
-
id: 21964889
{'hecke_orbit_code': 4503874538831976, 'n': 83, 'trace_an': 32}
-
id: 21964890
{'hecke_orbit_code': 4503874538831976, 'n': 84, 'trace_an': 0}
-
id: 21964891
{'hecke_orbit_code': 4503874538831976, 'n': 85, 'trace_an': -6}
-
id: 21964892
{'hecke_orbit_code': 4503874538831976, 'n': 86, 'trace_an': 18}
-
id: 21964893
{'hecke_orbit_code': 4503874538831976, 'n': 87, 'trace_an': 12}
-
id: 21964894
{'hecke_orbit_code': 4503874538831976, 'n': 88, 'trace_an': 8}
-
id: 21964895
{'hecke_orbit_code': 4503874538831976, 'n': 89, 'trace_an': 0}
-
id: 21964896
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