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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [3, 2]], 'cm_discs': [], 'conrey_index': 109, 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 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, [9, -9, 15, 0, 7, -2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518273048314045, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 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': '189.2.e.f', 'level': 189, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.e.e', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\beta _{4}+\\beta _{5})q^{2}+(-\\beta _{1}-\\beta _{2}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '189.2.e', 'trace_display': [2, 0, 1, 2], 'trace_hash': 387737947683834455, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.652', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '117.962', 'prec': 24}, {'__RealLiteral__': 0, 'data': '15.880', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4262.058', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [6, 2, 0, -4, 1, 0, 2, -18, 0, 1, 7, 0, 4, -17, 0, -10, 0, 0, -5, 26, 0, -8, 6, 0, 2, 17, 0, -30, -26, 0, 8, 25, 0, 24, -10, 0, 8, -7, 0, 24, -4, 0, -18, -1, 0, 3, 9, 0, 12, -8, 0, -9, 24, 0, 8, -48, 0, -14, -15, 0, 1, 42, 0, 66, 10, 0, -14, 39, 0, 26, 6, 0, -7, 0, 0, -36, -1, 0, -6, -16, 0, -43, -6, 0, -54, -32, 0, -9, -5, 0, -33, -24, 0, 27, 16, 0, -28, -49, 0, 21, -13, 0, 9, -6, 0, -6, 25, 0, 20, 8, 0, 60, -38, 0, 9, -1, 0, -6, 39, 0, 8, 20, 0, 17, -36, 0, 38, 3, 0, 7, 4, 0, -3, 2, 0, -66, 12, 0, 44, -2, 0, 33, -11, 0, -28, 84, 0, -58, 33, 0, 18, -24, 0, -37, 24, 0, 7, -17, 0, -22, 21, 0, 13, 40, 0, 45, -56, 0, 6, -39, 0, 43, -25, 0, 21, 26, 0, 10, -13, 0, 28, -2, 0, -33, 21, 0, 12, 30, 0, 46, -5, 0, -24, -30, 0, -31, -50, 0, -7, -48, 0, -118, 44, 0, -5, 46, 0, -60, -44, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [0, -1, -1, -1, -2, 1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, -1, 0, 1, -1, 1], [-4, -1, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, -1], [0, -1, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0], [1, 2, 0, -1, 0, 0], [-2, -1, -1, -1, -2, 2], [0, 0, 0, 0, 0, 0], [-5, 0, 1, 0, 5, -4], [0, 1, 2, 2, 1, -1], [0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 1, 1], [5, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 2, 0, -1, 0, 0], [2, 0, -1, 0, -2, -1], [0, 0, 0, 0, 0, 0], [0, -1, 2, 2, 1, 1], [6, 0, -1, 0, -6, 0], [0, 0, 0, 0, 0, 0], [-6, -3, 1, -1, -1, 0], [-4, -1, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, -1, -1, 3, -2], [0, 4, 1, 1, 10, -4], [0, 0, 0, 0, 0, 0], [6, 3, 0, 3, 0, 0], [-3, 1, -1, 1, 4, -1], [0, 0, 0, 0, 0, 0], [3, 0, -2, 0, -3, -1], [0, 0, -2, -2, -3, 0], [0, 0, 0, 0, 0, 0], [9, 0, 0, 0, -9, 3], [-2, -5, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-4, -3, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -3, 0, 0, 0, 3], [2, 0, -1, 0, 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'char_orbit_index': 5, 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'hecke_orbit_code': 22518273048314045, 'hecke_ring_character_values': [[29, [1, 0, 0, 0, 0, 0]], [136, [-1, 0, 0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [2, 1, -2, -1, -1, -2], [-4, 4, -2, -1, -1, -2], [-10, 1, 4, 2, 5, 7], [5, -17, 10, 8, 11, 16], [47, -23, -5, 5, -16, -14]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [2, -1, 1, 0, 0, 0], [6, -18, 5, -8, 1, -1], [3, -5, 6, -2, 1, 0], [9, -21, 19, -16, 5, -2], [-9, 30, -22, 19, -5, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '189.2.e.f', 'level': 189, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [3, 2]], 'conrey_index': 109, 'cusp_dim': 36, 'dim': 22, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461565, 'hecke_orbit_dims': [2, 2, 2, 4, 6, 6], 'label': '189.2.e', 'level': 189, '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': [3, 7], 'level_radical': 21, 'mf_dim': 60, 'mf_new_dim': 22, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 11, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 0, 9], 'traces': [22, 0, 0, -12, 0, 0, 9, 0, 0, -2, 0, 0, 0, 0, 0, -30, 0, 0, -9, 0, 0, 40, 0, 0, -15, 0, 0, -20, 0, 0, 13, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -70, 0, 0, -18, 0, 0, -11, 0, 0, 20, 0, 0, 32, 0, 0, 4, 0, 0, 15, 0, 0, 112, 0, 0, -30, 0, 0, 152, 0, 0, 7, 0, 0, -76, 0, 0, -22, 0, 0, -118, 0, 0, -36, 0, 0, -54, 0, 0, -52, 0, 0, 30, 0, 0, -14, 0, 0, 46, 0, 0, -40, 0, 0, -60, 0, 0, 43, 0, 0, 70, 0, 0, 54, 0, 0, -84, 0, 0, 15, 0, 0, 118, 0, 0, 82, 0, 0, 70, 0, 0, 38, 0, 0, -144, 0, 0, 148, 0, 0, 66, 0, 0, -4, 0, 0, 40, 0, 0, -7, 0, 0, -82, 0, 0, -60, 0, 0, -124, 0, 0, -27, 0, 0, 6, 0, 0, -42, 0, 0, 66, 0, 0, -83, 0, 0, 16, 0, 0, 6, 0, 0, -54, 0, 0, 72, 0, 0, 4, 0, 0, -40, 0, 0, -24, 0, 0, 25, 0, 0, -220, 0, 0, -62, 0, 0, -94, 0, 0, -30, 0, 0, 10, 0, 0, -11, 0, 0, -86, 0, 0, 24, 0, 0, 100, 0, 0, 17, 0, 0, -180, 0, 0, 42, 0, 0, 90, 0, 0, 89, 0, 0, 344, 0, 0, 4, 0, 0, 48, 0, 0, 180, 0, 0, 58, 0, 0, 40, 0, 0, -68, 0, 0, 168, 0, 0, -22, 0, 0, -3, 0, 0, -120, 0, 0, -87, 0, 0, -198, 0, 0, 129, 0, 0, -32, 0, 0, -29, 0, 0, 124, 0, 0, -168, 0, 0, 6, 0, 0, 27, 0, 0, 122, 0, 0, -186, 0, 0, 90, 0, 0, 29, 0, 0, -12, 0, 0, 14, 0, 0, -54, 0, 0, -70, 0, 0, 324, 0, 0, 53, 0, 0, 58, 0, 0, 30, 0, 0, 144, 0, 0, -102, 0, 0, -28, 0, 0, -6, 0, 0, -64, 0, 0, -84, 0, 0, -76, 0, 0, 60, 0, 0, -342, 0, 0, -137, 0, 0, 228, 0, 0, -73, 0, 0, 0, 0, 0, -224, 0, 0, 28, 0, 0, -188, 0, 0, 172, 0, 0, -108, 0, 0, -146, 0, 0, 43, 0, 0, -104, 0, 0, 8, 0, 0, 248, 0, 0, -196, 0, 0, 84, 0, 0, 30, 0, 0, 34, 0, 0, 182, 0, 0, -54, 0, 0, 26, 0, 0, -64, 0, 0, -54, 0, 0, -32, 0, 0, -2, 0, 0, 180, 0, 0, -142, 0, 0, 234, 0, 0, 10, 0, 0, -396, 0, 0, -45, 0, 0, -72, 0, 0, 42, 0, 0, -156, 0, 0, -118, 0, 0, 252, 0, 0, 302, 0, 0, 114, 0, 0, 20, 0, 0, 88, 0, 0, -21, 0, 0, 190, 0, 0, 72, 0, 0, -356, 0, 0, 153, 0, 0, -116, 0, 0, 148, 0, 0, 88, 0, 0, 157, 0, 0, -136, 0, 0, 312, 0, 0, 198, 0, 0, 90, 0, 0, 460, 0, 0, 109, 0, 0, -30, 0, 0, 80, 0, 0, -120, 0, 0, -235, 0, 0, -90, 0, 0, 222, 0, 0, -142, 0, 0, -72, 0, 0, -344, 0, 0, -252, 0, 0, -202, 0, 0, 26, 0, 0, -504, 0, 0, 5, 0, 0, -134, 0, 0, 102, 0, 0, -524, 0, 0, -102, 0, 0, -82, 0, 0, -106, 0, 0, 40, 0, 0, 342, 0, 0, -54, 0, 0, -218, 0, 0, 126, 0, 0, -1, 0, 0, 4, 0, 0, -21, 0, 0, 252, 0, 0, -36, 0, 0, 552, 0, 0, -27, 0, 0, -106, 0, 0, 50, 0, 0, -30, 0, 0, 60, 0, 0, 198, 0, 0, 254, 0, 0, 144, 0, 0, 156, 0, 0, -232, 0, 0, 14, 0, 0, 96, 0, 0, 57, 0, 0, 288, 0, 0, 18, 0, 0, -8, 0, 0, 234, 0, 0, -12, 0, 0, -23, 0, 0, 216, 0, 0, -528, 0, 0, 336, 0, 0, -229, 0, 0, -208, 0, 0, -54, 0, 0, -216, 0, 0, -88, 0, 0, -140, 0, 0, 241, 0, 0, 198, 0, 0, -76, 0, 0, 128, 0, 0, 114, 0, 0, -184, 0, 0, 38, 0, 0, -192, 0, 0, -233, 0, 0, 252, 0, 0, 31, 0, 0, -246, 0, 0, -204, 0, 0, -36, 0, 0, 57, 0, 0, -248, 0, 0, -82, 0, 0, -54, 0, 0, -215, 0, 0, 330, 0, 0, -34, 0, 0, -294, 0, 0, 61, 0, 0, 84, 0, 0, -48, 0, 0, 582, 0, 0, 15, 0, 0, -328, 0, 0, 52, 0, 0, 76, 0, 0, -252, 0, 0, -306, 0, 0, 324, 0, 0, 72, 0, 0, 104, 0, 0, -294, 0, 0, -117, 0, 0, -112, 0, 0, -185, 0, 0, 156, 0, 0, 119, 0, 0, 288, 0, 0, 32, 0, 0, -96, 0, 0, 30, 0, 0, -94, 0, 0, -260, 0, 0, 270, 0, 0, -238, 0, 0, 36, 0, 0, 11, 0, 0, 576, 0, 0, 136, 0, 0, 220, 0, 0, 28, 0, 0, -72, 0, 0, -15, 0, 0, -134, 0, 0, -94, 0, 0, 192, 0, 0, -251, 0, 0, -358, 0, 0, 148, 0, 0, 108, 0, 0, 18, 0, 0, 468, 0, 0, 50, 0, 0, -46, 0, 0, -276, 0, 0, 144, 0, 0, -139, 0, 0, 290, 0, 0, 496, 0, 0, -232, 0, 0, -261, 0, 0, -156, 0, 0, -20, 0, 0, -150, 0, 0, 72, 0, 0, -196, 0, 0, 128, 0, 0, -810, 0, 0, 152, 0, 0, 20, 0, 0, -20, 0, 0, 336, 0, 0, -216, 0, 0, -24, 0, 0, 442, 0, 0, -214, 0, 0, -4, 0, 0, -100, 0, 0, 182, 0, 0, -132, 0, 0, 128, 0, 0, -120, 0, 0, 69, 0, 0, 576], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 154412
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '189.2.e.e', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 154413
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '189.2.e.e', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 154414
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '189.2.e.f', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 154415
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '189.2.e.f', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154416
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.g.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154417
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.g.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 154418
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.g.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154419
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.g.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 154420
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.h.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154421
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.h.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 154422
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.h.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154423
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.h.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 154424
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1323.2.a.x', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 154425
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1323.2.a.y', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 154426
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1323.2.a.z', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 154427
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '189.2.e.f', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1323.2.a.ba', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 472675
{'charpoly_factorization': [[[9, -9, 15, 0, 7, -2, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 2}
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id: 472676
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 22518273048314045, 'p': 3}
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id: 472677
{'charpoly_factorization': [[[9, 18, 33, 12, 7, -1, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 5}
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id: 472678
{'charpoly_factorization': [[[343, -98, -28, 31, -4, -2, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 7}
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id: 472679
{'charpoly_factorization': [[[9, -36, 123, -78, 37, -7, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 11}
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id: 472680
{'charpoly_factorization': [[[47, -19, -2, 1], 2]], 'hecke_orbit_code': 22518273048314045, 'p': 13}
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id: 472681
{'charpoly_factorization': [[[81, 297, 1089, 18, 33, 0, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 17}
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id: 472682
{'charpoly_factorization': [[[841, 116, 161, 38, 29, 5, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 19}
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id: 472683
{'charpoly_factorization': [[[81, 27, 63, -36, 33, -6, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 23}
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id: 472684
{'charpoly_factorization': [[[9, 30, 13, 1], 2]], 'hecke_orbit_code': 22518273048314045, 'p': 29}
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id: 472685
{'charpoly_factorization': [[[4761, 69, 553, -146, 63, -8, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 31}
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id: 472686
{'charpoly_factorization': [[[8649, -465, 769, -146, 69, -8, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 37}
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id: 472687
{'charpoly_factorization': [[[-387, -105, 2, 1], 2]], 'hecke_orbit_code': 22518273048314045, 'p': 41}
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id: 472688
{'charpoly_factorization': [[[-101, -12, 9, 1], 2]], 'hecke_orbit_code': 22518273048314045, 'p': 43}
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id: 472689
{'charpoly_factorization': [[[81, 378, 1683, 396, 123, -9, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 47}
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id: 472690
{'charpoly_factorization': [[[59049, -40095, 21393, -3474, 411, -24, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 53}
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id: 472691
{'charpoly_factorization': [[[6561, 5346, 3141, 828, 159, 15, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 59}
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id: 472692
{'charpoly_factorization': [[[14641, -5929, 2522, -193, 50, -1, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 61}
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id: 472693
{'charpoly_factorization': [[[961, 1643, 2375, 680, 143, 14, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 67}
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id: 472694
{'charpoly_factorization': [[[-243, -108, -3, 1], 2]], 'hecke_orbit_code': 22518273048314045, 'p': 71}
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id: 472695
{'charpoly_factorization': [[[962361, 131454, 24823, 1024, 183, 7, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 73}
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id: 472696
{'charpoly_factorization': [[[16129, 8763, 5523, -160, 105, 6, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 79}
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id: 472697
{'charpoly_factorization': [[[729, -180, 3, 1], 2]], 'hecke_orbit_code': 22518273048314045, 'p': 83}
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id: 472698
{'charpoly_factorization': [[[239121, 45477, 11094, 513, 118, 5, 1], 1]], 'hecke_orbit_code': 22518273048314045, 'p': 89}
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id: 472699
{'charpoly_factorization': [[[-24, 16, 14, 1], 2]], 'hecke_orbit_code': 22518273048314045, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 6, 'label': '189.2.e.f', 'level': 189, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44316379
{'hecke_orbit_code': 22518273048314045, 'n': 1, 'trace_an': 6}
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id: 44316380
{'hecke_orbit_code': 22518273048314045, 'n': 2, 'trace_an': 2}
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id: 44316381
{'hecke_orbit_code': 22518273048314045, 'n': 3, 'trace_an': 0}
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id: 44316382
{'hecke_orbit_code': 22518273048314045, 'n': 4, 'trace_an': -4}
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id: 44316383
{'hecke_orbit_code': 22518273048314045, 'n': 5, 'trace_an': 1}
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id: 44316384
{'hecke_orbit_code': 22518273048314045, 'n': 6, 'trace_an': 0}
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id: 44316385
{'hecke_orbit_code': 22518273048314045, 'n': 7, 'trace_an': 2}
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id: 44316386
{'hecke_orbit_code': 22518273048314045, 'n': 8, 'trace_an': -18}
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id: 44316387
{'hecke_orbit_code': 22518273048314045, 'n': 9, 'trace_an': 0}
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id: 44316388
{'hecke_orbit_code': 22518273048314045, 'n': 10, 'trace_an': 1}
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