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mf_newforms • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [1728, 6, [703, 325, 1217], [6, 6, 5]], 'cm_discs': [], 'conrey_index': 449, 'conrey_indexes': [449, 1601], 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 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': [[5, [324, 162, 9, -9, 1]], [7, [5476, -74, 75, 1, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022697326184128, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 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': '1728.3.q.g', 'level': 1728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '36.3.g.a', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(3-\\beta _{1}+\\beta _{2})q^{5}+(-1+2\\beta _{1}-\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1728.3.q', 'trace_display': [0, 0, 9, -1], 'trace_hash': 1636993222231951256, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.785', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.764', 'prec': 17}, {'__RealLiteral__': 0, 'data': '51.871', 'prec': 20}, {'__RealLiteral__': 0, 'data': '23.226', 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mf_hecke_nf • Show schema
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27022697326184128, 'hecke_ring_character_values': [[703, [1, 0, 0, 0]], [325, [1, 0, 0, 0]], [1217, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 6, 6, 3], 'hecke_ring_inverse_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, -1, 0], [8, 0, 8, 1], [11, 2, 0, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-9, 16, 2, 1], [-9, -2, 2, 1], [12, 8, 1, -4]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1728.3.q.g', 'level': 1728, 'maxp': 1999, 'weight': 3}
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [1728, 6, [703, 325, 1217], [6, 6, 5]], 'conrey_index': 449, 'cusp_dim': 1080, 'dim': 92, 'eis_dim': 144, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 1099561961152, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 4, 4, 8, 8, 24, 24], 'label': '1728.3.q', 'level': 1728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 1224, 'mf_new_dim': 100, 'num_forms': 12, 'prim_orbit_index': 4, 'relative_dim': 46, 'sturm_bound': 864, 'trace_bound': 41, 'trace_display': [0, 0, -6, 0], 'traces': [92, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -138, 0, 0, 0, 0, 0, 0, 0, -240, 0, 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mf_twists_nf • Show schema
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id: 799150
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '36.3.g.a', 'target_level': 36, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 3}
-
id: 799151
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '36.3.g.a', 'target_level': 36, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 799152
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '108.3.g.a', 'target_level': 108, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 799153
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '108.3.g.a', 'target_level': 108, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 3}
-
id: 799154
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.3.q.b', 'target_level': 144, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 799155
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.3.q.b', 'target_level': 144, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 799156
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '324.3.c.b', 'target_level': 324, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 3}
-
id: 799157
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '324.3.c.b', 'target_level': 324, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 799158
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.3.q.b', 'target_level': 432, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 799159
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.3.q.b', 'target_level': 432, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 799160
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '576.3.q.d', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 799161
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '576.3.q.d', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 799162
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.3.q.g', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 799163
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.3.q.g', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 799164
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.p.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 799165
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.p.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.bk', 'twisting_char_orbit': 37, 'weight': 3}
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id: 799166
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.u.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 3}
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id: 799167
{'conductor': 360, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.u.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.bu', 'twisting_char_orbit': 47, 'weight': 3}
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id: 799168
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.3.e.e', 'target_level': 1296, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 799169
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.3.e.e', 'target_level': 1296, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 799170
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1728.3.q.g', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 799171
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1728.3.q.g', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 799172
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1728.3.q.h', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 799173
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1728.3.q.h', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 799174
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.p.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 799175
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.p.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.bh', 'twisting_char_orbit': 34, 'weight': 3}
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id: 799176
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.u.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 799177
{'conductor': 360, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1728.3.q.g', 'source_level': 1728, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.u.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.br', 'twisting_char_orbit': 44, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2163400
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022697326184128, 'p': 2}
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id: 2163401
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022697326184128, 'p': 3}
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id: 2163402
{'charpoly_factorization': [[[324, 162, 9, -9, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 5}
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id: 2163403
{'charpoly_factorization': [[[5476, -74, 75, 1, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 7}
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id: 2163404
{'charpoly_factorization': [[[81, 324, 441, 36, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 11}
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id: 2163405
{'charpoly_factorization': [[[4624, -340, 93, 5, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 13}
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id: 2163406
{'charpoly_factorization': [[[20736, 0, 387, 0, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 17}
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id: 2163407
{'charpoly_factorization': [[[-74, 1, 1], 2]], 'hecke_orbit_code': 27022697326184128, 'p': 19}
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id: 2163408
{'charpoly_factorization': [[[627264, 78408, 4059, 99, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 23}
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id: 2163409
{'charpoly_factorization': [[[777924, -55566, 441, 63, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 29}
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id: 2163410
{'charpoly_factorization': [[[430336, -4592, 705, 7, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 31}
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id: 2163411
{'charpoly_factorization': [[[-932, -32, 1], 2]], 'hecke_orbit_code': 27022697326184128, 'p': 37}
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id: 2163412
{'charpoly_factorization': [[[2424249, 28026, -1449, -18, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 41}
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id: 2163413
{'charpoly_factorization': [[[529, -23, 1], 2]], 'hecke_orbit_code': 27022697326184128, 'p': 43}
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id: 2163414
{'charpoly_factorization': [[[104976, -26244, 2511, -81, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 47}
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id: 2163415
{'charpoly_factorization': [[[1327104, 0, 4032, 0, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 53}
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id: 2163416
{'charpoly_factorization': [[[68121, 32886, 5031, -126, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 59}
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id: 2163417
{'charpoly_factorization': [[[61504, -10168, 1929, 41, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 61}
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id: 2163418
{'charpoly_factorization': [[[477481, 80156, 12765, 116, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 67}
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id: 2163419
{'charpoly_factorization': [[[331776, 0, 1548, 0, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 71}
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id: 2163420
{'charpoly_factorization': [[[-206, -43, 1], 2]], 'hecke_orbit_code': 27022697326184128, 'p': 73}
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id: 2163421
{'charpoly_factorization': [[[17956, 11122, 7023, -83, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 79}
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id: 2163422
{'charpoly_factorization': [[[104976, 26244, 2511, 81, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 83}
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id: 2163423
{'charpoly_factorization': [[[84934656, 0, 24768, 0, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 89}
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id: 2163424
{'charpoly_factorization': [[[86620249, 1824172, 29109, 196, 1], 1]], 'hecke_orbit_code': 27022697326184128, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 7, 'label': '1728.3.q.g', 'level': 1728, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 184784000
{'hecke_orbit_code': 27022697326184128, 'n': 1, 'trace_an': 4}
-
id: 184784001
{'hecke_orbit_code': 27022697326184128, 'n': 2, 'trace_an': 0}
-
id: 184784002
{'hecke_orbit_code': 27022697326184128, 'n': 3, 'trace_an': 0}
-
id: 184784003
{'hecke_orbit_code': 27022697326184128, 'n': 4, 'trace_an': 0}
-
id: 184784004
{'hecke_orbit_code': 27022697326184128, 'n': 5, 'trace_an': 9}
-
id: 184784005
{'hecke_orbit_code': 27022697326184128, 'n': 6, 'trace_an': 0}
-
id: 184784006
{'hecke_orbit_code': 27022697326184128, 'n': 7, 'trace_an': -1}
-
id: 184784007
{'hecke_orbit_code': 27022697326184128, 'n': 8, 'trace_an': 0}
-
id: 184784008
{'hecke_orbit_code': 27022697326184128, 'n': 9, 'trace_an': 0}
-
id: 184784009
{'hecke_orbit_code': 27022697326184128, 'n': 10, 'trace_an': 0}
-
id: 184784010
{'hecke_orbit_code': 27022697326184128, 'n': 11, 'trace_an': -36}
-
id: 184784011
{'hecke_orbit_code': 27022697326184128, 'n': 12, 'trace_an': 0}
-
id: 184784012
{'hecke_orbit_code': 27022697326184128, 'n': 13, 'trace_an': -5}
-
id: 184784013
{'hecke_orbit_code': 27022697326184128, 'n': 14, 'trace_an': 0}
-
id: 184784014
{'hecke_orbit_code': 27022697326184128, 'n': 15, 'trace_an': 0}
-
id: 184784015
{'hecke_orbit_code': 27022697326184128, 'n': 16, 'trace_an': 0}
-
id: 184784016
{'hecke_orbit_code': 27022697326184128, 'n': 17, 'trace_an': 0}
-
id: 184784017
{'hecke_orbit_code': 27022697326184128, 'n': 18, 'trace_an': 0}
-
id: 184784018
{'hecke_orbit_code': 27022697326184128, 'n': 19, 'trace_an': -2}
-
id: 184784019
{'hecke_orbit_code': 27022697326184128, 'n': 20, 'trace_an': 0}
-
id: 184784020
{'hecke_orbit_code': 27022697326184128, 'n': 21, 'trace_an': 0}
-
id: 184784021
{'hecke_orbit_code': 27022697326184128, 'n': 22, 'trace_an': 0}
-
id: 184784022
{'hecke_orbit_code': 27022697326184128, 'n': 23, 'trace_an': -99}
-
id: 184784023
{'hecke_orbit_code': 27022697326184128, 'n': 24, 'trace_an': 0}
-
id: 184784024
{'hecke_orbit_code': 27022697326184128, 'n': 25, 'trace_an': 13}
-
id: 184784025
{'hecke_orbit_code': 27022697326184128, 'n': 26, 'trace_an': 0}
-
id: 184784026
{'hecke_orbit_code': 27022697326184128, 'n': 27, 'trace_an': 0}
-
id: 184784027
{'hecke_orbit_code': 27022697326184128, 'n': 28, 'trace_an': 0}
-
id: 184784028
{'hecke_orbit_code': 27022697326184128, 'n': 29, 'trace_an': -63}
-
id: 184784029
{'hecke_orbit_code': 27022697326184128, 'n': 30, 'trace_an': 0}
-
id: 184784030
{'hecke_orbit_code': 27022697326184128, 'n': 31, 'trace_an': -7}
-
id: 184784031
{'hecke_orbit_code': 27022697326184128, 'n': 32, 'trace_an': 0}
-
id: 184784032
{'hecke_orbit_code': 27022697326184128, 'n': 33, 'trace_an': 0}
-
id: 184784033
{'hecke_orbit_code': 27022697326184128, 'n': 34, 'trace_an': 0}
-
id: 184784034
{'hecke_orbit_code': 27022697326184128, 'n': 35, 'trace_an': 0}
-
id: 184784035
{'hecke_orbit_code': 27022697326184128, 'n': 36, 'trace_an': 0}
-
id: 184784036
{'hecke_orbit_code': 27022697326184128, 'n': 37, 'trace_an': 64}
-
id: 184784037
{'hecke_orbit_code': 27022697326184128, 'n': 38, 'trace_an': 0}
-
id: 184784038
{'hecke_orbit_code': 27022697326184128, 'n': 39, 'trace_an': 0}
-
id: 184784039
{'hecke_orbit_code': 27022697326184128, 'n': 40, 'trace_an': 0}
-
id: 184784040
{'hecke_orbit_code': 27022697326184128, 'n': 41, 'trace_an': 18}
-
id: 184784041
{'hecke_orbit_code': 27022697326184128, 'n': 42, 'trace_an': 0}
-
id: 184784042
{'hecke_orbit_code': 27022697326184128, 'n': 43, 'trace_an': 46}
-
id: 184784043
{'hecke_orbit_code': 27022697326184128, 'n': 44, 'trace_an': 0}
-
id: 184784044
{'hecke_orbit_code': 27022697326184128, 'n': 45, 'trace_an': 0}
-
id: 184784045
{'hecke_orbit_code': 27022697326184128, 'n': 46, 'trace_an': 0}
-
id: 184784046
{'hecke_orbit_code': 27022697326184128, 'n': 47, 'trace_an': 81}
-
id: 184784047
{'hecke_orbit_code': 27022697326184128, 'n': 48, 'trace_an': 0}
-
id: 184784048
{'hecke_orbit_code': 27022697326184128, 'n': 49, 'trace_an': -51}
-
id: 184784049
{'hecke_orbit_code': 27022697326184128, 'n': 50, 'trace_an': 0}
-
id: 184784050
{'hecke_orbit_code': 27022697326184128, 'n': 51, 'trace_an': 0}
-
id: 184784051
{'hecke_orbit_code': 27022697326184128, 'n': 52, 'trace_an': 0}
-
id: 184784052
{'hecke_orbit_code': 27022697326184128, 'n': 53, 'trace_an': 0}
-
id: 184784053
{'hecke_orbit_code': 27022697326184128, 'n': 54, 'trace_an': 0}
-
id: 184784054
{'hecke_orbit_code': 27022697326184128, 'n': 55, 'trace_an': 90}
-
id: 184784055
{'hecke_orbit_code': 27022697326184128, 'n': 56, 'trace_an': 0}
-
id: 184784056
{'hecke_orbit_code': 27022697326184128, 'n': 57, 'trace_an': 0}
-
id: 184784057
{'hecke_orbit_code': 27022697326184128, 'n': 58, 'trace_an': 0}
-
id: 184784058
{'hecke_orbit_code': 27022697326184128, 'n': 59, 'trace_an': 126}
-
id: 184784059
{'hecke_orbit_code': 27022697326184128, 'n': 60, 'trace_an': 0}
-
id: 184784060
{'hecke_orbit_code': 27022697326184128, 'n': 61, 'trace_an': -41}
-
id: 184784061
{'hecke_orbit_code': 27022697326184128, 'n': 62, 'trace_an': 0}
-
id: 184784062
{'hecke_orbit_code': 27022697326184128, 'n': 63, 'trace_an': 0}
-
id: 184784063
{'hecke_orbit_code': 27022697326184128, 'n': 64, 'trace_an': 0}
-
id: 184784064
{'hecke_orbit_code': 27022697326184128, 'n': 65, 'trace_an': -171}
-
id: 184784065
{'hecke_orbit_code': 27022697326184128, 'n': 66, 'trace_an': 0}
-
id: 184784066
{'hecke_orbit_code': 27022697326184128, 'n': 67, 'trace_an': -116}
-
id: 184784067
{'hecke_orbit_code': 27022697326184128, 'n': 68, 'trace_an': 0}
-
id: 184784068
{'hecke_orbit_code': 27022697326184128, 'n': 69, 'trace_an': 0}
-
id: 184784069
{'hecke_orbit_code': 27022697326184128, 'n': 70, 'trace_an': 0}
-
id: 184784070
{'hecke_orbit_code': 27022697326184128, 'n': 71, 'trace_an': 0}
-
id: 184784071
{'hecke_orbit_code': 27022697326184128, 'n': 72, 'trace_an': 0}
-
id: 184784072
{'hecke_orbit_code': 27022697326184128, 'n': 73, 'trace_an': 86}
-
id: 184784073
{'hecke_orbit_code': 27022697326184128, 'n': 74, 'trace_an': 0}
-
id: 184784074
{'hecke_orbit_code': 27022697326184128, 'n': 75, 'trace_an': 0}
-
id: 184784075
{'hecke_orbit_code': 27022697326184128, 'n': 76, 'trace_an': 0}
-
id: 184784076
{'hecke_orbit_code': 27022697326184128, 'n': 77, 'trace_an': -279}
-
id: 184784077
{'hecke_orbit_code': 27022697326184128, 'n': 78, 'trace_an': 0}
-
id: 184784078
{'hecke_orbit_code': 27022697326184128, 'n': 79, 'trace_an': 83}
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id: 184784079
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