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mf_newforms • Show schema
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{'Nk2': 972, 'analytic_conductor': 1.9403647691171133, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [243, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 82, 'conrey_indexes': [82, 163], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 9, -6, 9, -3, 1]], [7, [289, -102, 87, -16, 15, -3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518135609360627, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '243.2.c.f', 'level': 243, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '243.2.a.e', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\zeta_{18}-\\zeta_{18}^{3}-\\zeta_{18}^{4}+\\zeta_{18}^{5})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '243.2.c', 'trace_display': [3, 0, 6, 3], 'trace_hash': 1666242156777845354, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.695', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '122.629', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 1, 0, -1, -1, 1], [0, 0, 0, 0, 0, 0], [-1, 1, 1, -1, 0, 2], [2, -2, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, 1, 2, -1, -1, 1], [-2, 0, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -2, -1, 0], [0, 1, -3, 2, 2, -2], [0, 0, 0, 0, 0, 0], [1, -1, 1, -1, 0, -1], [-1, 1, 3, -3, 0, 4], [0, 0, 0, 0, 0, 0], [0, -1, -3, 3, 3, -3], [-3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 3, 0, 0], [0, -1, 0, -2, -2, 2], [0, 0, 0, 0, 0, 0], [0, 0, -5, 5, 0, -4], [2, -2, -3, 3, 0, -2], [0, 0, 0, 0, 0, 0], [0, -1, -1, -4, -4, 4], [4, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0], [-4, 0, 0, 3, 6, 0], [0, 4, 3, -1, -1, 1], [0, 0, 0, 0, 0, 0], [4, -4, -2, 2, 0, -1], [0, 0, 0, 0, 0, -3], [0, 0, 0, 0, 0, 0], [0, -3, 0, 3, 3, -3], [2, 0, 0, 4, 1, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -3, -3, 0], [0, -4, 3, -2, -2, 2], [0, 0, 0, 0, 0, 0], [-3, 3, 4, -4, 0, -1], [-1, 1, -3, 3, 0, -5], [0, 0, 0, 0, 0, 0], [0, 4, -1, 2, 2, -2], [5, 0, 0, -2, -5, 0], [0, 0, 0, 0, 0, 0], [3, 0, 0, -2, -7, 0], [0, -2, 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7], [0, 1, -18, -1, -1, 1], [9, 0, 0, -12, -9, 0], [0, 13, -13, -19, -19, 19], [-15, 0, 0, -24, 0, 0], [0, 1, -13, 2, 2, -2], [21, 0, 0, -12, 0, 0], [0, -14, 2, 8, 8, -8], [13, -13, -14, 14, 0, 2], [-19, 0, 0, 0, -15, 0], [23, -23, 0, 0, 0, -14], [25, -25, 13, -13, 0, -10], [-25, 0, 0, 21, 15, 0], [-25, 25, -9, 9, 0, 10], [10, -10, -11, 11, 0, -16], [0, 0, 0, -6, 27, 0], [-8, 8, 19, -19, 0, 20], [-16, 16, -15, 15, 0, 4], [18, 0, 0, 0, -9, 0], [17, 0, 0, 3, 0, 0], [0, 13, 9, -16, -16, 16], [-17, 17, 4, -4, 0, 5], [9, 0, 0, -15, -18, 0], [8, 0, 0, 6, 24, 0], [0, 4, 21, -10, -10, 10], [0, -17, 11, -7, -7, 7], [0, -17, 3, -4, -4, 4], [-29, 29, -14, 14, 0, -10], [-3, 0, 0, -21, -9, 0], [10, -10, -5, 5, 0, 5], [-3, 0, 0, -18, 0, 0], [-1, 0, 0, 24, 24, 0], [-1, 1, -9, 9, 0, -11], [0, 4, -4, 8, 8, -8], [0, -2, 9, 5, 5, -5], [11, 0, 0, 12, 6, 0], [0, -23, 0, 11, 11, -11], [8, 0, 0, -9, -15, 0], [-22, 22, 21, -21, 0, 16], [0, 10, 9, -19, -19, 19], [3, 0, 0, 18, 18, 0], [-23, 23, 4, -4, 0, -13], [-24, 0, 0, -15, -18, 0], [-16, 16, -18, 18, 0, 1], [0, -14, 0, 2, 2, -2], [2, 0, 0, 0, 0, 0], [0, -5, -28, 5, 5, -5]], 'char_orbit_index': 3, 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'hecke_orbit_code': 22518135609360627, 'hecke_ring_character_values': [[2, [-1, 1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 3, 1, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 0, 2, 0, 1, 1], [0, 0, -1, 3, 1, -2], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 2, -1], [0, 0, 1, 0, -1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1], [0, 1, 1, 0, -1, 0], [0, 0, 0, 0, 1, -1], [0, 1, 0, 0, -1, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '243.2.c.f', 'level': 243, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 972, 'analytic_conductor': 1.9403647691171133, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [243, 3, [2], [1]], 'conrey_index': 82, 'cusp_dim': 36, 'dim': 24, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 137472508147, 'hecke_orbit_dims': [2, 2, 4, 4, 6, 6], 'label': '243.2.c', 'level': 243, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 72, 'mf_new_dim': 24, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 54, 'trace_bound': 7, 'trace_display': [0, 0, 0, 3], 'traces': [24, 0, 0, -12, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, -12, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, 0, -24, 0, 0, 12, 0, 0, 18, 0, 0, -6, 0, 0, 18, 0, 0, 12, 0, 0, -36, 0, 0, -9, 0, 0, 12, 0, 0, -36, 0, 0, 18, 0, 0, -24, 0, 0, -12, 0, 0, -24, 0, 0, 18, 0, 0, 48, 0, 0, 30, 0, 0, 21, 0, 0, 144, 0, 0, -72, 0, 0, 36, 0, 0, 24, 0, 0, 36, 0, 0, -69, 0, 0, -48, 0, 0, -6, 0, 0, -54, 0, 0, -60, 0, 0, 30, 0, 0, 18, 0, 0, -108, 0, 0, 6, 0, 0, 48, 0, 0, -60, 0, 0, -36, 0, 0, 6, 0, 0, -72, 0, 0, 39, 0, 0, -144, 0, 0, 108, 0, 0, -132, 0, 0, 12, 0, 0, 252, 0, 0, 48, 0, 0, 72, 0, 0, -6, 0, 0, 18, 0, 0, 9, 0, 0, 228, 0, 0, 39, 0, 0, 36, 0, 0, 102, 0, 0, -108, 0, 0, 18, 0, 0, -108, 0, 0, 12, 0, 0, 54, 0, 0, -114, 0, 0, -18, 0, 0, 54, 0, 0, -168, 0, 0, 21, 0, 0, -108, 0, 0, -66, 0, 0, 90, 0, 0, 30, 0, 0, -108, 0, 0, 30, 0, 0, -90, 0, 0, -72, 0, 0, 90, 0, 0, 75, 0, 0, 84, 0, 0, -75, 0, 0, 18, 0, 0, -72, 0, 0, 96, 0, 0, -75, 0, 0, -144, 0, 0, 54, 0, 0, -42, 0, 0, -60, 0, 0, -90, 0, 0, -24, 0, 0, -252, 0, 0, 30, 0, 0, 90, 0, 0, -84, 0, 0, -24, 0, 0, 36, 0, 0, 144, 0, 0, 33, 0, 0, -78, 0, 0, 156, 0, 0, -90, 0, 0, 39, 0, 0, 156, 0, 0, 54, 0, 0, 108, 0, 0, 354, 0, 0, -126, 0, 0, 57, 0, 0, 216, 0, 0, 3, 0, 0, -126, 0, 0, 114, 0, 0, -108, 0, 0, -195, 0, 0, 36, 0, 0, 90, 0, 0, 126, 0, 0, -90, 0, 0, 24, 0, 0, 66, 0, 0, -108, 0, 0, -195, 0, 0, -54, 0, 0, -114, 0, 0, -36, 0, 0, -54, 0, 0, 228, 0, 0, -72, 0, 0, -72, 0, 0, 156, 0, 0, 150, 0, 0, 33, 0, 0, -252, 0, 0, 39, 0, 0, 30, 0, 0, 108, 0, 0, 108, 0, 0, 39, 0, 0, 216, 0, 0, -93, 0, 0, 126, 0, 0, -168, 0, 0, -24, 0, 0, -24, 0, 0, -72, 0, 0, -144, 0, 0, 12, 0, 0, -216, 0, 0, 108, 0, 0, -60, 0, 0, 0, 0, 0, 93, 0, 0, 72, 0, 0, -138, 0, 0, 126, 0, 0, -51, 0, 0, -144, 0, 0, 6, 0, 0, -12, 0, 0, 210, 0, 0, 18, 0, 0, -144, 0, 0, -240, 0, 0, -24, 0, 0, -18, 0, 0, -180, 0, 0, 138, 0, 0, -75, 0, 0, 36, 0, 0, -90, 0, 0, -36, 0, 0, -168, 0, 0, 144, 0, 0, 60, 0, 0, -156, 0, 0, -54, 0, 0, 108, 0, 0, 102, 0, 0, 0, 0, 0, 84, 0, 0, -72, 0, 0, 78, 0, 0, 156, 0, 0, -174, 0, 0, 0, 0, 0, 36, 0, 0, 252, 0, 0, -231, 0, 0, 144, 0, 0, -168, 0, 0, -36, 0, 0, -216, 0, 0, -36, 0, 0, 105, 0, 0, -78, 0, 0, 72, 0, 0, 162, 0, 0, 84, 0, 0, 120, 0, 0, -51, 0, 0, -36, 0, 0, 372, 0, 0, -72, 0, 0, 102, 0, 0, -288, 0, 0, -48, 0, 0, -294, 0, 0, 426, 0, 0, -342, 0, 0, 99, 0, 0, 504, 0, 0, -6, 0, 0, 36, 0, 0, -144, 0, 0, 192, 0, 0, -36, 0, 0, 540, 0, 0, 84, 0, 0, 234, 0, 0, 396, 0, 0, -252, 0, 0, 75, 0, 0, -360, 0, 0, 114, 0, 0, -18, 0, 0, 216, 0, 0, -96, 0, 0, -42, 0, 0, -36, 0, 0, 90, 0, 0, -204, 0, 0, -120, 0, 0, 72, 0, 0, 111, 0, 0, -468, 0, 0, 162, 0, 0, -288, 0, 0, -318, 0, 0, -186, 0, 0, -168, 0, 0, -324, 0, 0, 12, 0, 0, -90, 0, 0, -276, 0, 0, -108, 0, 0, 54, 0, 0, -468, 0, 0, 129, 0, 0, 126, 0, 0, -60, 0, 0, -180, 0, 0, -183, 0, 0, 0, 0, 0, 111, 0, 0, 102, 0, 0, 12, 0, 0, 162, 0, 0, 180, 0, 0, 396, 0, 0, 120, 0, 0, -90, 0, 0, -138, 0, 0, -78, 0, 0, 180, 0, 0, 288, 0, 0, 18, 0, 0, 0, 0, 0, 372, 0, 0, -54, 0, 0, 105, 0, 0, 36, 0, 0, -213, 0, 0, -36, 0, 0, -114, 0, 0, -42, 0, 0, -126, 0, 0, 576, 0, 0, 96, 0, 0, 84, 0, 0, 282, 0, 0, 180, 0, 0, -150, 0, 0, 432, 0, 0, -141, 0, 0, -108, 0, 0, -252, 0, 0, -282, 0, 0, 15, 0, 0, 144, 0, 0, 57, 0, 0, 18, 0, 0, -114, 0, 0, 0, 0, 0, 141, 0, 0, -564, 0, 0, 144, 0, 0, 18, 0, 0, 0, 0, 0, 126, 0, 0, 93, 0, 0, -36, 0, 0, 54, 0, 0, 282, 0, 0, -60, 0, 0, -198, 0, 0, 111, 0, 0, 36, 0, 0, -153, 0, 0, -288, 0, 0, 102, 0, 0, 324, 0, 0, -18, 0, 0, 144, 0, 0, -75, 0, 0, 342, 0, 0, -324, 0, 0, 198, 0, 0, 18, 0, 0, -600, 0, 0, -222, 0, 0, -360, 0, 0, 150, 0, 0, 84, 0, 0, -126, 0, 0, -432, 0, 0, -36, 0, 0, 78, 0, 0, -168, 0, 0, 252, 0, 0, -114, 0, 0, 396], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 194247
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '243.2.a.e', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 194248
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '243.2.a.f', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 194249
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '243.2.c.e', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 194250
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '243.2.c.e', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 194251
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '243.2.c.f', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 194252
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '243.2.c.f', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 194253
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.e.a', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 194254
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '729.2.e.b', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 194255
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.e.c', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 194256
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '729.2.e.g', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 194257
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '729.2.e.h', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 194258
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '729.2.e.i', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 194259
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3888.2.a.bd', 'target_level': 3888, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 194260
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '3888.2.a.bk', 'target_level': 3888, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 194261
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '6075.2.a.bq', 'target_level': 6075, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 194262
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '243.2.c.f', 'source_level': 243, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '6075.2.a.bv', 'target_level': 6075, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 572150
{'charpoly_factorization': [[[9, 0, 9, -6, 9, -3, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 2}
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id: 572151
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 22518135609360627, 'p': 3}
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id: 572152
{'charpoly_factorization': [[[9, -27, 63, -48, 27, -6, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 5}
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id: 572153
{'charpoly_factorization': [[[289, -102, 87, -16, 15, -3, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 7}
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id: 572154
{'charpoly_factorization': [[[9, -54, 333, 48, 27, -3, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 11}
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id: 572155
{'charpoly_factorization': [[[289, -102, 87, -16, 15, -3, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 13}
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id: 572156
{'charpoly_factorization': [[[3, 1], 6]], 'hecke_orbit_code': 22518135609360627, 'p': 17}
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id: 572157
{'charpoly_factorization': [[[1, -24, 3, 1], 2]], 'hecke_orbit_code': 22518135609360627, 'p': 19}
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id: 572158
{'charpoly_factorization': [[[2601, -459, 387, -48, 45, -6, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 23}
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id: 572159
{'charpoly_factorization': [[[3249, 1539, 1413, -438, 117, -12, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 29}
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id: 572160
{'charpoly_factorization': [[[361, -741, 1293, -430, 105, -12, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 31}
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id: 572161
{'charpoly_factorization': [[[1, -24, 3, 1], 2]], 'hecke_orbit_code': 22518135609360627, 'p': 37}
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id: 572162
{'charpoly_factorization': [[[47961, 11826, 3573, 276, 63, 3, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 41}
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id: 572163
{'charpoly_factorization': [[[361, -741, 1293, -430, 105, -12, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 43}
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id: 572164
{'charpoly_factorization': [[[71289, 16821, 5571, 156, 99, 6, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 47}
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id: 572165
{'charpoly_factorization': [[[81, 81, 18, 1], 2]], 'hecke_orbit_code': 22518135609360627, 'p': 53}
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id: 572166
{'charpoly_factorization': [[[103041, 46224, 13995, 2382, 297, 21, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 59}
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id: 572167
{'charpoly_factorization': [[[2809, -2703, 2283, -412, 87, 6, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 61}
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id: 572168
{'charpoly_factorization': [[[11881, 5559, 3255, -88, 87, 6, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 67}
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id: 572169
{'charpoly_factorization': [[[999, -162, -9, 1], 2]], 'hecke_orbit_code': 22518135609360627, 'p': 71}
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id: 572170
{'charpoly_factorization': [[[397, -69, -6, 1], 2]], 'hecke_orbit_code': 22518135609360627, 'p': 73}
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id: 572171
{'charpoly_factorization': [[[2809, -2703, 2283, -412, 87, 6, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 79}
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id: 572172
{'charpoly_factorization': [[[2601, 1377, 1035, -60, 63, 6, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 83}
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id: 572173
{'charpoly_factorization': [[[-999, -189, 0, 1], 2]], 'hecke_orbit_code': 22518135609360627, 'p': 89}
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id: 572174
{'charpoly_factorization': [[[361, 1311, 5046, -997, 294, 15, 1], 1]], 'hecke_orbit_code': 22518135609360627, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 6, 'label': '243.2.c.f', 'level': 243, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 170970000
{'hecke_orbit_code': 22518135609360627, 'n': 1, 'trace_an': 6}
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id: 170970001
{'hecke_orbit_code': 22518135609360627, 'n': 2, 'trace_an': 3}
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id: 170970002
{'hecke_orbit_code': 22518135609360627, 'n': 3, 'trace_an': 0}
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id: 170970003
{'hecke_orbit_code': 22518135609360627, 'n': 4, 'trace_an': -3}
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id: 170970004
{'hecke_orbit_code': 22518135609360627, 'n': 5, 'trace_an': 6}
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id: 170970005
{'hecke_orbit_code': 22518135609360627, 'n': 6, 'trace_an': 0}
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id: 170970006
{'hecke_orbit_code': 22518135609360627, 'n': 7, 'trace_an': 3}
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id: 170970007
{'hecke_orbit_code': 22518135609360627, 'n': 8, 'trace_an': -12}
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id: 170970008
{'hecke_orbit_code': 22518135609360627, 'n': 9, 'trace_an': 0}
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id: 170970009
{'hecke_orbit_code': 22518135609360627, 'n': 10, 'trace_an': 0}
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id: 170970010
{'hecke_orbit_code': 22518135609360627, 'n': 11, 'trace_an': 3}
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id: 170970011
{'hecke_orbit_code': 22518135609360627, 'n': 12, 'trace_an': 0}
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id: 170970012
{'hecke_orbit_code': 22518135609360627, 'n': 13, 'trace_an': 3}
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id: 170970013
{'hecke_orbit_code': 22518135609360627, 'n': 14, 'trace_an': -3}
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id: 170970014
{'hecke_orbit_code': 22518135609360627, 'n': 15, 'trace_an': 0}
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id: 170970015
{'hecke_orbit_code': 22518135609360627, 'n': 16, 'trace_an': -3}
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id: 170970016
{'hecke_orbit_code': 22518135609360627, 'n': 17, 'trace_an': -18}
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id: 170970017
{'hecke_orbit_code': 22518135609360627, 'n': 18, 'trace_an': 0}
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id: 170970018
{'hecke_orbit_code': 22518135609360627, 'n': 19, 'trace_an': -6}
-
id: 170970019
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{'hecke_orbit_code': 22518135609360627, 'n': 999, 'trace_an': 0}
-
id: 170970999
{'hecke_orbit_code': 22518135609360627, 'n': 1000, 'trace_an': 126}