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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [1134, 6, [407, 325], [1, 5]], 'cm_discs': [], 'conrey_index': 593, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-3, 0, 1]], [11, [9, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512104585725038, 'hecke_ring_generator_nbound': 2, '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, 63, 11, -1, 6, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 63, 19, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1134.2.t.d', 'level': 1134, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '42.2.f.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 19, 'qexp_display': 'q+(\\zeta_{12}-\\zeta_{12}^{3})q^{2}+(1-\\zeta_{12}^{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1134.2.t', 'trace_display': [0, 0, 0, 8], 'trace_hash': 1522541156293037089, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.664', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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0, -28, 0], [18, 0, -36, 0], [0, 18, 0, 0], [0, 0, -25, 0], [0, 45, 0, -45], [-11, 0, 22, 0], [0, -56, 0, 28], [0, 0, 0, 78], [0, 17, 0, 17], [0, 0, 0, -36], [0, -2, 0, -2], [-62, 0, 62, 0], [0, 31, 0, -62], [-28, 0, 14, 0], [0, 20, 0, -40], [0, -14, 0, 28], [32, 0, 32, 0], [12, 0, -24, 0], [0, 33, 0, 0], [0, 0, -65, 0]], 'char_orbit_index': 20, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 13512104585725038, 'hecke_ring_character_values': [[407, [0, 0, 1, 0]], [325, [1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '1134.2.t.d', 'level': 1134, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [1134, 6, [407, 325], [1, 5]], 'conrey_index': 593, 'cusp_dim': 384, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 1305703613550, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 16, 16], 'label': '1134.2.t', 'level': 1134, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 480, 'mf_new_dim': 64, 'num_forms': 8, 'prim_orbit_index': 19, 'relative_dim': 32, 'sturm_bound': 432, 'trace_bound': 14, 'trace_display': [0, 0, 0, -10], 'traces': [64, 0, 0, 32, 0, 0, -10, 0, 0, 0, 0, 0, 30, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 10, 0, 0, -30, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, -12, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 30, 0, 0, -64, 0, 0, 2, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 30, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -30, 0, 0, 68, 0, 0, 24, 0, 0, 48, 0, 0, 0, 0, 0, -138, 0, 0, -24, 0, 0, 36, 0, 0, -10, 0, 0, 4, 0, 0, 36, 0, 0, 72, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, -86, 0, 0, -10, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -108, 0, 0, -168, 0, 0, -26, 0, 0, 8, 0, 0, -210, 0, 0, 0, 0, 0, 84, 0, 0, -30, 0, 0, 46, 0, 0, -144, 0, 0, 0, 0, 0, -90, 0, 0, -198, 0, 0, 24, 0, 0, 0, 0, 0, 30, 0, 0, -12, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 108, 0, 0, 72, 0, 0, -32, 0, 0, -142, 0, 0, 0, 0, 0, 108, 0, 0, -2, 0, 0, -6, 0, 0, 24, 0, 0, 92, 0, 0, -54, 0, 0, 30, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 84, 0, 0, 96, 0, 0, 290, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, -180, 0, 0, 88, 0, 0, -36, 0, 0, 12, 0, 0, 390, 0, 0, 0, 0, 0, -164, 0, 0, 72, 0, 0, -230, 0, 0, 48, 0, 0, 8, 0, 0, 108, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 112, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, -308, 0, 0, -84, 0, 0, 108, 0, 0, 30, 0, 0, 72, 0, 0, 12, 0, 0, -258, 0, 0, -32, 0, 0, 84, 0, 0, 12, 0, 0, 246, 0, 0, 6, 0, 0, -6, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 360, 0, 0, 96, 0, 0, -72, 0, 0, 10, 0, 0, -180, 0, 0, -90, 0, 0, 34, 0, 0, 0, 0, 0, 224, 0, 0, 120, 0, 0, 94, 0, 0, 90, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -170, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 18, 0, 0, 36, 0, 0, 34, 0, 0, -18, 0, 0, -72, 0, 0, -252, 0, 0, -24, 0, 0, -102, 0, 0, 12, 0, 0, -400, 0, 0, -12, 0, 0, -72, 0, 0, 234, 0, 0, 92, 0, 0, 0, 0, 0, -106, 0, 0, -54, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, -252, 0, 0, -48, 0, 0, 320, 0, 0, -108, 0, 0, 204, 0, 0, 36, 0, 0, -18, 0, 0, 198, 0, 0, -96, 0, 0, -20, 0, 0, -132, 0, 0, -468, 0, 0, -210, 0, 0, 2, 0, 0, 0, 0, 0, 96, 0, 0, 26, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 72, 0, 0, 92, 0, 0, 24, 0, 0, 174, 0, 0, 0, 0, 0, 186, 0, 0, 120, 0, 0, 468, 0, 0, 46, 0, 0, 108, 0, 0, -180, 0, 0, -108, 0, 0, -36, 0, 0, 72, 0, 0, 0, 0, 0, 40, 0, 0, 86, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -210, 0, 0, 408, 0, 0, -24, 0, 0, -62, 0, 0, 36, 0, 0, 0, 0, 0, 46, 0, 0, 72, 0, 0, -108, 0, 0, 288, 0, 0, 330, 0, 0, 36, 0, 0, 66, 0, 0, 78, 0, 0, 0, 0, 0, -12, 0, 0, -166, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 520, 0, 0, 0, 0, 0, -260, 0, 0, -84, 0, 0, 260, 0, 0, -108, 0, 0, 684, 0, 0, 26, 0, 0, -480, 0, 0, 36, 0, 0, -144, 0, 0, 22, 0, 0, -222, 0, 0, -360, 0, 0, 54, 0, 0, 0, 0, 0, -48, 0, 0, -96, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 612, 0, 0, 168, 0, 0, -130, 0, 0, -36, 0, 0, -216, 0, 0, -30, 0, 0, -120, 0, 0, 0, 0, 0, 98, 0, 0, 92, 0, 0, 268, 0, 0, 360, 0, 0, 576, 0, 0, -72, 0, 0, 0, 0, 0, 108, 0, 0, 162, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -90, 0, 0, 424, 0, 0, 102, 0, 0, -104, 0, 0, -198, 0, 0, -738, 0, 0, -48, 0, 0, -216, 0, 0, -24, 0, 0, -308, 0, 0, -312, 0, 0, -36, 0, 0, 138, 0, 0, -254, 0, 0, 0, 0, 0, -350, 0, 0, -30, 0, 0, -420, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -216, 0, 0, -432, 0, 0, 12, 0, 0, -36, 0, 0, -180, 0, 0, 144, 0, 0, 202, 0, 0, 120, 0, 0, 110, 0, 0, -372, 0, 0, -552, 0, 0, -30, 0, 0, -360, 0, 0, -72, 0, 0, 0, 0, 0, -36, 0, 0, -122, 0, 0, -48, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 655073
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '42.2.f.a', 'target_level': 42, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 655074
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '42.2.f.a', 'target_level': 42, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 655075
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '42.2.f.a', 'target_level': 42, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 655076
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '42.2.f.a', 'target_level': 42, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 655077
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.d.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 655078
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.d.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 655079
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.d.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 655080
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.d.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 655081
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.f.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 655082
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.f.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 655083
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.f.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 655084
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '294.2.f.a', 'target_level': 294, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 655085
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '336.2.bc.e', 'target_level': 336, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 655086
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '336.2.bc.e', 'target_level': 336, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 655087
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '336.2.bc.e', 'target_level': 336, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '252.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 655088
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '336.2.bc.e', 'target_level': 336, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '252.bj', 'twisting_char_orbit': 36, 'weight': 2}
-
id: 655089
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1050.2.s.b', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 655090
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1050.2.s.b', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 655091
{'conductor': 315, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1050.2.s.b', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '315.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 655092
{'conductor': 315, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1050.2.s.b', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '315.bq', 'twisting_char_orbit': 43, 'weight': 2}
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id: 655093
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.u.a', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 655094
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.u.a', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 655095
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.u.a', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '315.bs', 'twisting_char_orbit': 45, 'weight': 2}
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id: 655096
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.u.a', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '315.bu', 'twisting_char_orbit': 47, 'weight': 2}
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id: 655097
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.u.d', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 655098
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.u.d', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 655099
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.u.d', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '315.bs', 'twisting_char_orbit': 45, 'weight': 2}
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id: 655100
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.u.d', 'target_level': 1050, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '315.bu', 'twisting_char_orbit': 47, 'weight': 2}
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id: 655101
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.l.c', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 655102
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.l.c', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 655103
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.l.c', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 655104
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1134.2.l.c', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 655105
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1134.2.t.d', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 655106
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1134.2.t.d', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 655107
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1134.2.t.d', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 655108
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1134.2.t.d', 'target_level': 1134, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 655109
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2352.2.k.e', 'target_level': 2352, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '252.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 655110
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2352.2.k.e', 'target_level': 2352, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '252.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 655111
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2352.2.k.e', 'target_level': 2352, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '252.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 655112
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1134.2.t.d', 'source_level': 1134, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2352.2.k.e', 'target_level': 2352, 'twist_class_label': '42.2.f.a', 'twist_class_level': 42, 'twisting_char_label': '252.bn', 'twisting_char_orbit': 40, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1711275
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 2}
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id: 1711276
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13512104585725038, 'p': 3}
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id: 1711277
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 5}
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id: 1711278
{'charpoly_factorization': [[[7, -4, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 7}
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id: 1711279
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 11}
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id: 1711280
{'charpoly_factorization': [[[12, 6, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 13}
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id: 1711281
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 17}
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id: 1711282
{'charpoly_factorization': [[[12, -6, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 19}
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id: 1711283
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 23}
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id: 1711284
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 29}
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id: 1711285
{'charpoly_factorization': [[[3, -3, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 31}
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id: 1711286
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 37}
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id: 1711287
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 41}
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id: 1711288
{'charpoly_factorization': [[[64, -8, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 43}
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id: 1711289
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 47}
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id: 1711290
{'charpoly_factorization': [[[6561, 0, -81, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 53}
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id: 1711291
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 59}
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id: 1711292
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13512104585725038, 'p': 61}
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id: 1711293
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 67}
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id: 1711294
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 71}
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id: 1711295
{'charpoly_factorization': [[[48, -12, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 73}
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id: 1711296
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 79}
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id: 1711297
{'charpoly_factorization': [[[5625, 0, 75, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 83}
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id: 1711298
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 13512104585725038, 'p': 89}
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id: 1711299
{'charpoly_factorization': [[[27, -9, 1], 2]], 'hecke_orbit_code': 13512104585725038, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 4, 'label': '1134.2.t.d', 'level': 1134, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 37509823
{'hecke_orbit_code': 13512104585725038, 'n': 1, 'trace_an': 4}
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id: 37509824
{'hecke_orbit_code': 13512104585725038, 'n': 2, 'trace_an': 0}
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id: 37509825
{'hecke_orbit_code': 13512104585725038, 'n': 3, 'trace_an': 0}
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id: 37509826
{'hecke_orbit_code': 13512104585725038, 'n': 4, 'trace_an': 2}
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id: 37509827
{'hecke_orbit_code': 13512104585725038, 'n': 5, 'trace_an': 0}
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id: 37509828
{'hecke_orbit_code': 13512104585725038, 'n': 6, 'trace_an': 0}
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id: 37509829
{'hecke_orbit_code': 13512104585725038, 'n': 7, 'trace_an': 8}
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id: 37509830
{'hecke_orbit_code': 13512104585725038, 'n': 8, 'trace_an': 0}
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id: 37509831
{'hecke_orbit_code': 13512104585725038, 'n': 9, 'trace_an': 0}
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id: 37509832
{'hecke_orbit_code': 13512104585725038, 'n': 10, 'trace_an': -6}
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id: 37509833
{'hecke_orbit_code': 13512104585725038, 'n': 11, 'trace_an': 0}
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id: 37509834
{'hecke_orbit_code': 13512104585725038, 'n': 12, 'trace_an': 0}
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id: 37509835
{'hecke_orbit_code': 13512104585725038, 'n': 13, 'trace_an': -12}
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id: 37509836
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