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mf_newforms • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1050, 3, [701, 127, 451], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 151, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [16, -4, 1]], [13, [4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480858, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1050.2.i.d', 'level': 1050, '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, 5, 7], 'level_radical': 210, 'minimal_twist': '1050.2.i.d', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.i', 'trace_display': [-1, -1, 0, 5], 'trace_hash': 2304191336502386623, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.156', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.250', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1050, 3, [701, 127, 451], [3, 3, 2]], 'conrey_index': 151, 'cusp_dim': 432, 'dim': 52, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 549789369370, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6], 'label': '1050.2.i', 'level': 1050, '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, 5, 7], 'level_radical': 210, 'mf_dim': 528, 'mf_new_dim': 52, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 26, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 0, 0, -6], 'traces': [52, 0, 0, -26, 0, 4, -6, 0, -26, 0, 8, 0, -8, 0, 0, -26, -12, 0, -8, 0, 8, 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-16, 264, 0, 22, 68, 120, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 630512
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1050.2.i.d', 'target_level': 1050, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 630513
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1050.2.i.d', 'target_level': 1050, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 630514
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '1050.2.i.r', 'target_level': 1050, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 630515
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '1050.2.i.r', 'target_level': 1050, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 630516
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1050.2.o.l', 'target_level': 1050, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 630517
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1050.2.o.l', 'target_level': 1050, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 630518
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7350.2.a.e', 'target_level': 7350, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 630519
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '7350.2.a.v', 'target_level': 7350, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 630520
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '7350.2.a.bs', 'target_level': 7350, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 630521
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1050.2.i.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 61, 'target_is_minimal': False, 'target_label': '7350.2.a.ci', 'target_level': 7350, 'twist_class_label': '1050.2.i.d', 'twist_class_level': 1050, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1632000
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 2}
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id: 1632001
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 3}
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id: 1632002
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 5}
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id: 1632003
{'charpoly_factorization': [[[7, -5, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 7}
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id: 1632004
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 11}
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id: 1632005
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 13}
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id: 1632006
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 17}
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id: 1632007
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 19}
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id: 1632008
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 23}
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id: 1632009
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 29}
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id: 1632010
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 31}
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id: 1632011
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 37}
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id: 1632012
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 41}
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id: 1632013
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 43}
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id: 1632014
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 47}
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id: 1632015
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 53}
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id: 1632016
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 59}
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id: 1632017
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 61}
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id: 1632018
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 67}
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id: 1632019
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 71}
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id: 1632020
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 73}
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id: 1632021
{'charpoly_factorization': [[[289, -17, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 79}
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id: 1632022
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 83}
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id: 1632023
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 13511348671480858, 'p': 89}
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id: 1632024
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 13511348671480858, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '1050.2.i.d', 'level': 1050, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36987889
{'hecke_orbit_code': 13511348671480858, 'n': 1, 'trace_an': 2}
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id: 36987890
{'hecke_orbit_code': 13511348671480858, 'n': 2, 'trace_an': -1}
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id: 36987891
{'hecke_orbit_code': 13511348671480858, 'n': 3, 'trace_an': -1}
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id: 36987892
{'hecke_orbit_code': 13511348671480858, 'n': 4, 'trace_an': -1}
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id: 36987893
{'hecke_orbit_code': 13511348671480858, 'n': 5, 'trace_an': 0}
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id: 36987894
{'hecke_orbit_code': 13511348671480858, 'n': 6, 'trace_an': 2}
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id: 36987895
{'hecke_orbit_code': 13511348671480858, 'n': 7, 'trace_an': 5}
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id: 36987896
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