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{'Nk2': 24048, 'analytic_conductor': 48.006061695193765, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [167, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6012, 1, [3007, 3341, 4681], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33560444, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6012.2.a.a', 'level': 6012, '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, 167], 'level_radical': 1002, 'minimal_twist': '668.2.a.a', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{5}+(2-\\beta )q^{7}+(5-\\beta )q^{13}-\\beta q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6012.2.a', 'trace_display': [0, 0, 6, 3], 'trace_hash': 1254849418476496234, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.903', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.136', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.192', 'prec': 17}, 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mf_hecke_nf • Show schema
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[-49, -6], [-46, 2], [0, 11], [51, -12], [-25, 6], [93, 0], [-36, 39], [-57, 17], [-19, 17], [-18, -36], [12, 24], [-43, 0], [-6, 8], [27, -3], [45, 1], [62, -16], [27, -12]], 'char_orbit_index': 1, 'field_poly': [-3, -1, 1], 'hecke_orbit_code': 33560444, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '6012.2.a.a', 'level': 6012, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 13, 13, 21, 21], 'Nk2': 24048, 'analytic_conductor': 48.006061695193765, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6012, 1, [3007, 3341, 4681], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 997, 'dim': 68, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 33560444, 'hecke_orbit_dims': [2, 3, 3, 5, 5, 5, 7, 9, 9, 10, 10], 'label': '6012.2.a', 'level': 6012, '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, 167], 'level_radical': 1002, 'mf_dim': 1020, 'mf_new_dim': 68, 'num_forms': 11, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 2016, 'trace_bound': 11, 'trace_display': [0, 0, -2, 8], 'traces': [68, 0, 0, 0, -2, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, -10, 0, 0, 0, -2, 0, 80, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 18, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 68, 0, 0, 0, -8, 0, -2, 0, 0, 0, 18, 0, -6, 0, 0, 0, -14, 0, 20, 0, 0, 0, 4, 0, 14, 0, 0, 0, -16, 0, -22, 0, 0, 0, -14, 0, -18, 0, 0, 0, -6, 0, 30, 0, 0, 0, -8, 0, -24, 0, 0, 0, -18, 0, -60, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 6, 0, 0, 0, -34, 0, 62, 0, 0, 0, -30, 0, -26, 0, 0, 0, 18, 0, 0, 0, 0, 0, -30, 0, -6, 0, 0, 0, -6, 0, -12, 0, 0, 0, -20, 0, 10, 0, 0, 0, -56, 0, -2, 0, 0, 0, -16, 0, -46, 0, 0, 0, 0, 0, 26, 0, 0, 0, -2, 0, -26, 0, 0, 0, 0, 0, -34, 0, 0, 0, -72, 0, -20, 0, 0, 0, -20, 0, -48, 0, 0, 0, -52, 0, 44, 0, 0, 0, 28, 0, -88, 0, 0, 0, 44, 0, 16, 0, 0, 0, -48, 0, -40, 0, 0, 0, 48, 0, -16, 0, 0, 0, -50, 0, -20, 0, 0, 0, -44, 0, 74, 0, 0, 0, 48, 0, -8, 0, 0, 0, -64, 0, -78, 0, 0, 0, 70, 0, -14, 0, 0, 0, 46, 0, -78, 0, 0, 0, 82, 0, -64, 0, 0, 0, -26, 0, 52, 0, 0, 0, 74, 0, -74, 0, 0, 0, -6, 0, -34, 0, 0, 0, 8, 0, 50, 0, 0, 0, -54, 0, 24, 0, 0, 0, -64, 0, -2, 0, 0, 0, -34, 0, -2, 0, 0, 0, 44, 0, 2, 0, 0, 0, 60, 0, 4, 0, 0, 0, 28, 0, -46, 0, 0, 0, 58, 0, 34, 0, 0, 0, 76, 0, 18, 0, 0, 0, -32, 0, -32, 0, 0, 0, 120, 0, -20, 0, 0, 0, 46, 0, -14, 0, 0, 0, 6, 0, 38, 0, 0, 0, 62, 0, -54, 0, 0, 0, 0, 0, -18, 0, 0, 0, 26, 0, -60, 0, 0, 0, -54, 0, 56, 0, 0, 0, 44, 0, 58, 0, 0, 0, 60, 0, 32, 0, 0, 0, 60, 0, 52, 0, 0, 0, -56, 0, -76, 0, 0, 0, -14, 0, 84, 0, 0, 0, 54, 0, -14, 0, 0, 0, -34, 0, 34, 0, 0, 0, 74, 0, 12, 0, 0, 0, 82, 0, -32, 0, 0, 0, -26, 0, 32, 0, 0, 0, 10, 0, -74, 0, 0, 0, 28, 0, -40, 0, 0, 0, -48, 0, 26, 0, 0, 0, 32, 0, -122, 0, 0, 0, 98, 0, 30, 0, 0, 0, -8, 0, -30, 0, 0, 0, -68, 0, -16, 0, 0, 0, 84, 0, -36, 0, 0, 0, 48, 0, -128, 0, 0, 0, 4, 0, -48, 0, 0, 0, 32, 0, -14, 0, 0, 0, 30, 0, -8, 0, 0, 0, -120, 0, -78, 0, 0, 0, 54, 0, 90, 0, 0, 0, -22, 0, 28, 0, 0, 0, 170, 0, 18, 0, 0, 0, 52, 0, 84, 0, 0, 0, -60, 0, -80, 0, 0, 0, 30, 0, 14, 0, 0, 0, 68, 0, -56, 0, 0, 0, -126, 0, -24, 0, 0, 0, 38, 0, 176, 0, 0, 0, -8, 0, 30, 0, 0, 0, -2, 0, 36, 0, 0, 0, 22, 0, -10, 0, 0, 0, 32, 0, -48, 0, 0, 0, -78, 0, -24, 0, 0, 0, -84, 0, 56, 0, 0, 0, -82, 0, -100, 0, 0, 0, -8, 0, 148, 0, 0, 0, -110, 0, -8, 0, 0, 0, -36, 0, 76, 0, 0, 0, -8, 0, 14, 0, 0, 0, 32, 0, -58, 0, 0, 0, 32, 0, 120, 0, 0, 0, -18, 0, 58, 0, 0, 0, 30, 0, 34, 0, 0, 0, 0, 0, -50, 0, 0, 0, -28, 0, 0, 0, 0, 0, 114, 0, 14, 0, 0, 0, 60, 0, 60, 0, 0, 0, -174, 0, 118, 0, 0, 0, 82, 0, 98, 0, 0, 0, -108, 0, -24, 0, 0, 0, -16, 0, 72, 0, 0, 0, -68, 0, 190, 0, 0, 0, -30, 0, -60, 0, 0, 0, -126, 0, -38, 0, 0, 0, -102, 0, -128, 0, 0, 0, 102, 0, 22, 0, 0, 0, -28, 0, 134, 0, 0, 0, 42, 0, -120, 0, 0, 0, -68, 0, 90, 0, 0, 0, -24, 0, 20, 0, 0, 0, 44, 0, -6, 0, 0, 0, -82, 0, -4, 0, 0, 0, 154, 0, -98, 0, 0, 0, 56, 0, -8, 0, 0, 0, 90, 0, -24, 0, 0, 0, 194, 0, 102, 0, 0, 0, 4, 0, 36, 0, 0, 0, 132, 0, -48, 0, 0, 0, -60, 0, 230, 0, 0, 0, -52, 0, 128, 0, 0, 0, 34, 0, -6, 0, 0, 0, -154, 0, 34, 0, 0, 0, -54, 0, -68, 0, 0, 0, 14, 0, 100, 0, 0, 0, 12, 0, 10, 0, 0, 0, 72, 0, 28, 0, 0, 0, -18, 0, 10, 0, 0, 0, 244, 0, -92, 0, 0, 0, -154, 0, -56, 0, 0, 0, -148, 0, 106, 0, 0, 0, 66, 0, 132, 0, 0, 0, 172, 0, 32, 0, 0, 0, 16, 0, -94, 0, 0, 0, -154, 0, 28, 0, 0, 0, -140, 0, -116, 0, 0, 0, -26, 0, -72, 0, 0, 0, 116, 0, -142, 0, 0, 0, -76, 0, -142, 0, 0, 0, -158, 0, -18, 0, 0, 0, -72, 0, -84, 0, 0, 0, 6, 0, 78, 0, 0, 0, -88, 0, 150, 0, 0, 0, 6, 0, 16, 0, 0, 0, 72, 0, -20, 0, 0, 0, -38, 0, -104, 0, 0, 0, 4, 0, -90, 0, 0, 0, -290, 0, 26, 0, 0, 0, -156, 0, -106, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1285012
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '6012.2.a.a', 'source_level': 6012, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '668.2.a.a', 'target_level': 668, 'twist_class_label': '668.2.a.a', 'twist_class_level': 668, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1285013
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '6012.2.a.a', 'source_level': 6012, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2672.2.a.c', 'target_level': 2672, 'twist_class_label': '668.2.a.a', 'twist_class_level': 668, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1285014
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '6012.2.a.a', 'source_level': 6012, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '6012.2.a.a', 'target_level': 6012, 'twist_class_label': '668.2.a.a', 'twist_class_level': 668, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4063800
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 33560444, 'p': 2}
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id: 4063801
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 33560444, 'p': 3}
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id: 4063802
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 33560444, 'p': 5}
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id: 4063803
{'charpoly_factorization': [[[-1, -3, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 7}
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id: 4063804
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 33560444, 'p': 11}
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id: 4063805
{'charpoly_factorization': [[[17, -9, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 13}
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id: 4063806
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 17}
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id: 4063807
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 33560444, 'p': 19}
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id: 4063808
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 23}
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id: 4063809
{'charpoly_factorization': [[[3, 8, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 29}
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id: 4063810
{'charpoly_factorization': [[[-4, -6, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 31}
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id: 4063811
{'charpoly_factorization': [[[3, -8, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 37}
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id: 4063812
{'charpoly_factorization': [[[-51, 2, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 41}
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id: 4063813
{'charpoly_factorization': [[[23, -12, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 43}
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id: 4063814
{'charpoly_factorization': [[[-9, -4, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 47}
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id: 4063815
{'charpoly_factorization': [[[-12, -2, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 53}
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id: 4063816
{'charpoly_factorization': [[[-108, -6, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 59}
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id: 4063817
{'charpoly_factorization': [[[-101, 8, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 61}
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id: 4063818
{'charpoly_factorization': [[[-51, -2, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 67}
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id: 4063819
{'charpoly_factorization': [[[-27, -3, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 71}
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id: 4063820
{'charpoly_factorization': [[[43, 17, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 73}
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id: 4063821
{'charpoly_factorization': [[[87, -20, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 79}
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id: 4063822
{'charpoly_factorization': [[[-9, 4, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 83}
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id: 4063823
{'charpoly_factorization': [[[-108, -6, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 89}
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id: 4063824
{'charpoly_factorization': [[[-61, 9, 1], 1]], 'hecke_orbit_code': 33560444, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '6012.2.a.a', 'level': 6012, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 5993000
{'hecke_orbit_code': 33560444, 'n': 1, 'trace_an': 2}
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id: 5993001
{'hecke_orbit_code': 33560444, 'n': 2, 'trace_an': 0}
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id: 5993002
{'hecke_orbit_code': 33560444, 'n': 3, 'trace_an': 0}
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id: 5993003
{'hecke_orbit_code': 33560444, 'n': 4, 'trace_an': 0}
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id: 5993004
{'hecke_orbit_code': 33560444, 'n': 5, 'trace_an': 6}
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