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mf_newforms • Show schema
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{'Nk2': 3249, 'analytic_conductor': 9.836537543406719, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [361, 6, [2], [5]], 'cm_discs': [], 'conrey_index': 69, 'conrey_indexes': [69, 293], 'dim': 4, 'field_disc': 24336, 'field_disc_factorization': [[2, 4], [3, 2], [13, 2]], 'field_poly': [169, 0, -13, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [169, 0, -13, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805836132713, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 2, -1, 2, 0], [1, 1, 19, 3, 1, 3, 0], [1, 1, 19, 4, -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': '361.3.d.b', 'level': 361, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [19], 'level_radical': 19, 'minimal_twist': '19.3.b.b', 'nf_label': '4.0.24336.3', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{1}q^{3}+9\\beta _{2}q^{4}+(-4+4\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '361.3.d', 'trace_display': [0, 0, -8, -20], 'trace_hash': 61468884096816749, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '99.780', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, -1, 0, 0], [0, 0, 9, 0], [-4, 0, 4, 0], [0, 0, -13, 0], [-5, 0, 0, 0], [0, 0, 0, 5], [0, 0, 4, 0], [0, -4, 0, 4], [-10, 0, 0, 0], [0, 0, 0, -9], [0, -1, 0, 1], [0, -5, 0, 0], [0, 4, 0, -4], [-29, 0, 29, 0], [-15, 0, 15, 0], [0, 0, 0, 4], [0, 0, 0, 0], [-36, 0, 0, 0], [0, 5, 0, 0], [0, -10, 0, 0], [0, 0, -35, 0], [65, 0, -65, 0], [0, 0, 9, 0], [-13, 0, 0, 0], [0, 0, 0, 5], [0, 0, -45, 0], [0, -5, 0, 5], [52, 0, 0, 0], [0, 0, 0, 10], [0, -9, 0, 9], [0, 10, 0, 0], [0, -15, 0, 15], [20, 0, -20, 0], [-36, 0, 36, 0], [0, 0, 0, 6], [0, 0, 0, 0], [13, 0, 0, 0], [0, -20, 0, 0], [0, 10, 0, 0], [0, 0, 65, 0], [20, 0, -20, 0], [0, 0, -90, 0], [-16, 0, 0, 0], [0, 0, 0, -35], [0, 0, -10, 0], [0, 29, 0, -29], [-24, 0, 0, 0], [0, 0, 0, 9], [0, 15, 0, -15], [0, -9, 0, 0], [0, 21, 0, -21], [-65, 0, 65, 0], [40, 0, -40, 0], [0, 0, 0, -25], [0, 0, 0, 0], [-65, 0, 0, 0], [0, 5, 0, 0], [0, 36, 0, 0], [0, 0, 40, 0], [-130, 0, 130, 0], [0, 0, -20, 0], [-1, 0, 0, 0], [0, 0, 0, -4], [0, 0, 130, 0], [0, -11, 0, 11], [-135, 0, 0, 0], [0, 0, 0, 35], [0, 20, 0, -20], [0, 30, 0, 0], [0, -20, 0, 20], [-105, 0, 105, 0], [-78, 0, 78, 0], [0, 0, 0, -9], [0, 0, 0, 0], [50, 0, 0, 0], [0, 13, 0, 0], [0, -10, 0, 0], [0, 0, -116, 0], [101, 0, -101, 0], [0, 0, 130, 0], [-40, 0, 0, 0], [0, 0, 0, 45], [0, 0, -60, 0], [0, 20, 0, -20], [65, 0, 0, 0], [0, 0, 0, -50], [0, 0, 0, 0], [0, -16, 0, 0], [0, 5, 0, -5], [315, 0, -315, 0], [130, 0, -130, 0], [0, 0, 0, -10], [0, 0, 0, 0], [117, 0, 0, 0], [0, 34, 0, 0], [0, -24, 0, 0], [0, 0, -40, 0], [-81, 0, 81, 0]], 'ap': [[0, 1, 0, 0], [0, -1, 0, 0], [-4, 0, 4, 0], [-5, 0, 0, 0], [-10, 0, 0, 0], [0, -1, 0, 1], [-15, 0, 15, 0], [0, 0, 0, 0], [0, 0, -35, 0], [0, -5, 0, 5], [0, 0, 0, 10], [0, 0, 0, 6], [0, 10, 0, 0], [20, 0, -20, 0], [0, 0, -10, 0], [0, 21, 0, -21], [0, 5, 0, 0], [0, 0, 40, 0], [0, -11, 0, 11], [0, 30, 0, 0], [-105, 0, 105, 0], [0, -10, 0, 0], [-40, 0, 0, 0], [0, 0, 0, 0], [0, 34, 0, 0], [0, 0, 50, 0], [0, 0, 0, -16], [0, 0, 0, -21], [0, -55, 0, 0], [0, 0, 0, 34], [0, 36, 0, -36], [-112, 0, 112, 0], [0, 0, -125, 0], [0, 0, -50, 0], [-70, 0, 70, 0], [0, 0, 0, -10], [-10, 0, 10, 0], [-270, 0, 0, 0], [0, -34, 0, 34], [0, -34, 0, 0], [0, 0, 0, -10], [0, -30, 0, 30], [193, 0, 0, 0], [0, 74, 0, 0], [90, 0, 0, 0], [0, 0, -123, 0], [0, -65, 0, 0], [0, -56, 0, 0], [0, 0, 0, -71], [-160, 0, 0, 0], [270, 0, -270, 0], [197, 0, 0, 0], [0, -110, 0, 110], [0, 0, 402, 0], [0, 116, 0, -116], [-310, 0, 310, 0], [0, 30, 0, 0], [-105, 0, 105, 0], [-50, 0, 0, 0], [0, 80, 0, -80], [320, 0, -320, 0], [0, 0, 0, 61], [0, 66, 0, 0], [395, 0, 0, 0], [0, 0, -125, 0], [0, -1, 0, 1], [0, 0, 0, 55], [0, 16, 0, 0], [40, 0, -40, 0], [98, 0, 0, 0], [-185, 0, 0, 0], [225, 0, -225, 0], [0, 0, -50, 0], [0, 0, 0, 121], [0, 0, 0, 135], [0, 56, 0, 0], [0, 0, 478, 0], [-750, 0, 750, 0], [0, -80, 0, 0], [0, 10, 0, -10], [112, 0, 0, 0], [0, 175, 0, 0], [0, 120, 0, -120], [0, 204, 0, -204], [0, 220, 0, 0], [0, 0, -670, 0], [0, 0, 0, 10], [-755, 0, 0, 0], [-772, 0, 772, 0], [-350, 0, 0, 0], [70, 0, 0, 0], [0, 0, 370, 0], [0, 0, 0, 144], [632, 0, -632, 0], [-380, 0, 380, 0], [0, 0, 45, 0], [0, -230, 0, 230], [0, 0, 0, -170], [0, -129, 0, 129], [0, 0, 600, 0], [0, 166, 0, -166], [0, 0, -380, 0], [0, 0, 0, -34], [0, 0, 0, -10], [-790, 0, 0, 0], [675, 0, 0, 0], [280, 0, -280, 0], [0, 0, -750, 0], [0, -140, 0, 140], [0, 0, 0, -170], [0, 0, 0, 274], [1200, 0, -1200, 0], [0, 0, 350, 0], [560, 0, 0, 0], [0, 0, 1050, 0], [0, 340, 0, 0], [1030, 0, -1030, 0], [555, 0, 0, 0], [50, 0, 0, 0], [0, -55, 0, 55], [0, -55, 0, 55], [0, 0, 0, -166], [0, 0, 0, -19], [0, 0, 0, 66], [-820, 0, 0, 0], [540, 0, -540, 0], [0, 0, -268, 0], [-105, 0, 105, 0], [-695, 0, 695, 0], [160, 0, 0, 0], [-1028, 0, 1028, 0], [0, -146, 0, 0], [0, -10, 0, 10], [-60, 0, 60, 0], [-655, 0, 0, 0], [0, 0, 185, 0], [0, 89, 0, -89], [0, 0, 0, -19], [0, 0, 0, -349], [-7, 0, 0, 0], [0, -285, 0, 285], [0, 0, -842, 0], [0, 0, -775, 0], [0, 351, 0, -351], [0, 0, 0, 435], [0, -320, 0, 0], [-400, 0, 400, 0], [0, 44, 0, 0], [0, 0, -1432, 0], [0, 0, 0, 36], [0, 109, 0, 0], [750, 0, 0, 0], [0, 0, -120, 0], [0, -236, 0, 236], [0, -179, 0, 0], [0, 0, 0, 340], [-513, 0, 0, 0], [1217, 0, -1217, 0], [0, 0, 1095, 0], [0, -305, 0, 305], [-640, 0, 640, 0], [0, 324, 0, 0], [1010, 0, -1010, 0], [0, -210, 0, 0], [0, 0, 0, -166], [0, 16, 0, 0], [0, 0, 0, 0], [0, 0, 170, 0]], 'char_orbit_index': 4, 'field_poly': [169, 0, -13, 0, 1], 'hecke_orbit_code': 4503805836132713, 'hecke_ring_character_values': [[2, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 13, 13], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 13, 0], [0, 0, 0, 13]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '361.3.d.b', 'level': 361, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 3249, 'analytic_conductor': 9.836537543406719, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [361, 6, [2], [5]], 'conrey_index': 69, 'cusp_dim': 108, 'dim': 96, 'eis_dim': 40, 'eis_new_dim': 32, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206208762217, 'hecke_orbit_dims': [2, 4, 6, 12, 12, 12, 48], 'label': '361.3.d', 'level': 361, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [19], 'level_radical': 19, 'mf_dim': 148, 'mf_new_dim': 128, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 48, 'sturm_bound': 95, 'trace_bound': 3, 'trace_display': [3, 9, 3, 6], 'traces': [96, 3, 9, 79, 3, -1, 6, 0, 85, 60, -36, 0, -30, -54, 18, -97, 49, 0, 0, -128, 102, 39, 8, 91, -49, 196, 0, -8, 12, -384, 0, -51, -123, 6, 17, 74, 0, 0, 32, 96, -63, 44, 39, 101, 58, 0, -35, 147, -110, 0, -132, 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1676, -966, 4080, 1548, -283, -2508, -2818, 0, -1051, -1929, 2288, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 274684
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '19.3.b.b', 'target_level': 19, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 274685
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '19.3.b.b', 'target_level': 19, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 274686
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '171.3.c.b', 'target_level': 171, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '57.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 274687
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '171.3.c.b', 'target_level': 171, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '57.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 274688
{'conductor': 76, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '304.3.e.d', 'target_level': 304, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '76.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 274689
{'conductor': 76, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '304.3.e.d', 'target_level': 304, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '76.g', 'twisting_char_orbit': 7, 'weight': 3}
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id: 274690
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '361.3.d.b', 'target_level': 361, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 274691
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '361.3.d.b', 'target_level': 361, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 274692
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '361.3.d.b', 'target_level': 361, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 274693
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '361.3.d.b', 'target_level': 361, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 274694
{'conductor': 19, 'degree': 6, 'multiplicity': 6, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '361.3.f.d', 'target_level': 361, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 274695
{'conductor': 19, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '361.3.f.d', 'target_level': 361, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 274696
{'conductor': 95, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.3.c.b', 'target_level': 475, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '95.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 274697
{'conductor': 95, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.3.c.b', 'target_level': 475, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '95.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 274698
{'conductor': 95, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.3.d.b', 'target_level': 475, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '95.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 274699
{'conductor': 95, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.3.d.b', 'target_level': 475, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '95.m', 'twisting_char_orbit': 13, 'weight': 3}
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id: 274700
{'conductor': 152, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1216.3.e.g', 'target_level': 1216, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '152.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 274701
{'conductor': 152, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1216.3.e.g', 'target_level': 1216, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '152.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 274702
{'conductor': 152, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1216.3.e.h', 'target_level': 1216, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '152.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 274703
{'conductor': 152, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1216.3.e.h', 'target_level': 1216, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '152.o', 'twisting_char_orbit': 15, 'weight': 3}
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id: 274704
{'conductor': 228, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2736.3.o.d', 'target_level': 2736, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '228.m', 'twisting_char_orbit': 13, 'weight': 3}
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id: 274705
{'conductor': 228, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '361.3.d.b', 'source_level': 361, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2736.3.o.d', 'target_level': 2736, 'twist_class_label': '19.3.b.b', 'twist_class_level': 19, 'twisting_char_label': '228.n', 'twisting_char_orbit': 14, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 773525
{'charpoly_factorization': [[[169, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 2}
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id: 773526
{'charpoly_factorization': [[[169, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 3}
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id: 773527
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 5}
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id: 773528
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 4503805836132713, 'p': 7}
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id: 773529
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 4503805836132713, 'p': 11}
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id: 773530
{'charpoly_factorization': [[[169, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 13}
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id: 773531
{'charpoly_factorization': [[[225, 15, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 17}
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id: 773532
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503805836132713, 'p': 19}
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id: 773533
{'charpoly_factorization': [[[1225, 35, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 23}
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id: 773534
{'charpoly_factorization': [[[105625, 0, -325, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 29}
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id: 773535
{'charpoly_factorization': [[[1300, 0, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 31}
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id: 773536
{'charpoly_factorization': [[[468, 0, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 37}
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id: 773537
{'charpoly_factorization': [[[1690000, 0, -1300, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 41}
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id: 773538
{'charpoly_factorization': [[[400, -20, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 43}
-
id: 773539
{'charpoly_factorization': [[[100, 10, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 47}
-
id: 773540
{'charpoly_factorization': [[[32867289, 0, -5733, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 53}
-
id: 773541
{'charpoly_factorization': [[[105625, 0, -325, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 59}
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id: 773542
{'charpoly_factorization': [[[1600, -40, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 61}
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id: 773543
{'charpoly_factorization': [[[2474329, 0, -1573, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 67}
-
id: 773544
{'charpoly_factorization': [[[136890000, 0, -11700, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 71}
-
id: 773545
{'charpoly_factorization': [[[11025, 105, 1], 2]], 'hecke_orbit_code': 4503805836132713, 'p': 73}
-
id: 773546
{'charpoly_factorization': [[[1690000, 0, -1300, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 79}
-
id: 773547
{'charpoly_factorization': [[[40, 1], 4]], 'hecke_orbit_code': 4503805836132713, 'p': 83}
-
id: 773548
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503805836132713, 'p': 89}
-
id: 773549
{'charpoly_factorization': [[[225840784, 0, -15028, 0, 1], 1]], 'hecke_orbit_code': 4503805836132713, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '361.3.d.b', 'level': 361, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 83963000
{'hecke_orbit_code': 4503805836132713, 'n': 1, 'trace_an': 4}
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id: 83963001
{'hecke_orbit_code': 4503805836132713, 'n': 2, 'trace_an': 0}
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id: 83963002
{'hecke_orbit_code': 4503805836132713, 'n': 3, 'trace_an': 0}
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id: 83963003
{'hecke_orbit_code': 4503805836132713, 'n': 4, 'trace_an': 18}
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id: 83963004
{'hecke_orbit_code': 4503805836132713, 'n': 5, 'trace_an': -8}
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id: 83963005
{'hecke_orbit_code': 4503805836132713, 'n': 6, 'trace_an': -26}
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id: 83963006
{'hecke_orbit_code': 4503805836132713, 'n': 7, 'trace_an': -20}
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id: 83963007
{'hecke_orbit_code': 4503805836132713, 'n': 8, 'trace_an': 0}
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id: 83963008
{'hecke_orbit_code': 4503805836132713, 'n': 9, 'trace_an': 8}
-
id: 83963009
{'hecke_orbit_code': 4503805836132713, 'n': 10, 'trace_an': 0}
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id: 83963010
{'hecke_orbit_code': 4503805836132713, 'n': 11, 'trace_an': -40}
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id: 83963011
{'hecke_orbit_code': 4503805836132713, 'n': 12, 'trace_an': 0}
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id: 83963012
{'hecke_orbit_code': 4503805836132713, 'n': 13, 'trace_an': 0}
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id: 83963013
{'hecke_orbit_code': 4503805836132713, 'n': 14, 'trace_an': 0}
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id: 83963014
{'hecke_orbit_code': 4503805836132713, 'n': 15, 'trace_an': 0}
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id: 83963015
{'hecke_orbit_code': 4503805836132713, 'n': 16, 'trace_an': -58}
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id: 83963016
{'hecke_orbit_code': 4503805836132713, 'n': 17, 'trace_an': -30}
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id: 83963017
{'hecke_orbit_code': 4503805836132713, 'n': 18, 'trace_an': 0}
-
id: 83963018
{'hecke_orbit_code': 4503805836132713, 'n': 19, 'trace_an': 0}
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id: 83963019
{'hecke_orbit_code': 4503805836132713, 'n': 20, 'trace_an': -144}
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id: 83963020
{'hecke_orbit_code': 4503805836132713, 'n': 21, 'trace_an': 0}
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id: 83963021
{'hecke_orbit_code': 4503805836132713, 'n': 22, 'trace_an': 0}
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id: 83963022
{'hecke_orbit_code': 4503805836132713, 'n': 23, 'trace_an': -70}
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id: 83963023
{'hecke_orbit_code': 4503805836132713, 'n': 24, 'trace_an': 130}
-
id: 83963024
{'hecke_orbit_code': 4503805836132713, 'n': 25, 'trace_an': 18}
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id: 83963025
{'hecke_orbit_code': 4503805836132713, 'n': 26, 'trace_an': -52}
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id: 83963026
{'hecke_orbit_code': 4503805836132713, 'n': 27, 'trace_an': 0}
-
id: 83963027
{'hecke_orbit_code': 4503805836132713, 'n': 28, 'trace_an': -90}
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id: 83963028
{'hecke_orbit_code': 4503805836132713, 'n': 29, 'trace_an': 0}
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id: 83963029
{'hecke_orbit_code': 4503805836132713, 'n': 30, 'trace_an': 208}
-
id: 83963030
{'hecke_orbit_code': 4503805836132713, 'n': 31, 'trace_an': 0}
-
id: 83963031
{'hecke_orbit_code': 4503805836132713, 'n': 32, 'trace_an': 0}
-
id: 83963032
{'hecke_orbit_code': 4503805836132713, 'n': 33, 'trace_an': 0}
-
id: 83963033
{'hecke_orbit_code': 4503805836132713, 'n': 34, 'trace_an': 0}
-
id: 83963034
{'hecke_orbit_code': 4503805836132713, 'n': 35, 'trace_an': 40}
-
id: 83963035
{'hecke_orbit_code': 4503805836132713, 'n': 36, 'trace_an': -72}
-
id: 83963036
{'hecke_orbit_code': 4503805836132713, 'n': 37, 'trace_an': 0}
-
id: 83963037
{'hecke_orbit_code': 4503805836132713, 'n': 38, 'trace_an': 0}
-
id: 83963038
{'hecke_orbit_code': 4503805836132713, 'n': 39, 'trace_an': 52}
-
id: 83963039
{'hecke_orbit_code': 4503805836132713, 'n': 40, 'trace_an': 0}
-
id: 83963040
{'hecke_orbit_code': 4503805836132713, 'n': 41, 'trace_an': 0}
-
id: 83963041
{'hecke_orbit_code': 4503805836132713, 'n': 42, 'trace_an': 130}
-
id: 83963042
{'hecke_orbit_code': 4503805836132713, 'n': 43, 'trace_an': 40}
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id: 83963043
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