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mf_newforms • Show schema
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{'Nk2': 7560, 'analytic_conductor': 15.091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1890, 3, [1541, 757, 1081], [2, 3, 2]], 'cm_discs': [], 'conrey_index': 991, 'conrey_indexes': [991, 1171], '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, [0, 1]], [13, [4, 2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671481698, 'hecke_ring_generator_nbound': 5, '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, 63, 8, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1890.2.i.d', 'level': 1890, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '630.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 8, 'qexp_display': 'q+q^{2}+q^{4}+(1-\\zeta_{6})q^{5}+(1-3\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1890.2.i', 'trace_display': [2, 0, 1, -1], 'trace_hash': 824071981361413431, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.556', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7560, 'analytic_conductor': 15.091725982021993, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1890, 3, [1541, 757, 1081], [2, 3, 2]], 'conrey_index': 991, 'cusp_dim': 816, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 549789370210, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 12, 12, 12, 16], 'label': '1890.2.i', 'level': 1890, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 912, 'mf_new_dim': 64, 'num_forms': 9, 'prim_orbit_index': 8, 'relative_dim': 32, 'sturm_bound': 864, 'trace_bound': 5, 'trace_display': [0, 0, -4, 4], 'traces': [64, 0, 0, 64, -4, 0, 4, 0, 0, 0, 4, 0, -4, 2, 0, 64, -16, 0, 8, -4, 0, 0, -12, 0, -32, -8, 0, 4, -10, 0, 8, 0, 0, 0, 0, 0, -4, -24, 0, 0, 22, 0, -4, 4, 0, 6, 24, 0, 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'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 834401
{'conductor': 3, '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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '630.2.i.a', 'target_level': 630, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 834402
{'conductor': 63, '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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '630.2.i.a', 'target_level': 630, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 834403
{'conductor': 9, '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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '630.2.l.d', 'target_level': 630, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 834404
{'conductor': 21, '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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '630.2.l.d', 'target_level': 630, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 834405
{'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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1890.2.i.d', 'target_level': 1890, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 834406
{'conductor': 63, '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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1890.2.i.d', 'target_level': 1890, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 834407
{'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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1890.2.l.a', 'target_level': 1890, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 834408
{'conductor': 9, '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': False, 'source_label': '1890.2.i.d', 'source_level': 1890, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1890.2.l.a', 'target_level': 1890, 'twist_class_label': '630.2.i.a', 'twist_class_level': 630, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2280300
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 2}
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id: 2280301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 3}
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id: 2280302
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 5}
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id: 2280303
{'charpoly_factorization': [[[7, 1, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 7}
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id: 2280304
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 11}
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id: 2280305
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 13}
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id: 2280306
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 17}
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id: 2280307
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 19}
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id: 2280308
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 23}
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id: 2280309
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 29}
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id: 2280310
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 31}
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id: 2280311
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 37}
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id: 2280312
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 41}
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id: 2280313
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 43}
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id: 2280314
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 47}
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id: 2280315
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 53}
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id: 2280316
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 59}
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id: 2280317
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 61}
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id: 2280318
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 67}
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id: 2280319
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 71}
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id: 2280320
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 73}
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id: 2280321
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13511348671481698, 'p': 79}
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id: 2280322
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 83}
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id: 2280323
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 89}
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id: 2280324
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 13511348671481698, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '1890.2.i.d', 'level': 1890, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 143423000
{'hecke_orbit_code': 13511348671481698, 'n': 1, 'trace_an': 2}
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id: 143423001
{'hecke_orbit_code': 13511348671481698, 'n': 2, 'trace_an': 2}
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id: 143423002
{'hecke_orbit_code': 13511348671481698, 'n': 3, 'trace_an': 0}
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id: 143423003
{'hecke_orbit_code': 13511348671481698, 'n': 4, 'trace_an': 2}
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id: 143423004
{'hecke_orbit_code': 13511348671481698, 'n': 5, 'trace_an': 1}
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id: 143423005
{'hecke_orbit_code': 13511348671481698, 'n': 6, 'trace_an': 0}
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id: 143423006
{'hecke_orbit_code': 13511348671481698, 'n': 7, 'trace_an': -1}
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id: 143423007
{'hecke_orbit_code': 13511348671481698, 'n': 8, 'trace_an': 2}
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id: 143423008
{'hecke_orbit_code': 13511348671481698, 'n': 9, 'trace_an': 0}
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id: 143423009
{'hecke_orbit_code': 13511348671481698, 'n': 10, 'trace_an': 1}
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id: 143423010
{'hecke_orbit_code': 13511348671481698, 'n': 11, 'trace_an': 0}
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id: 143423011
{'hecke_orbit_code': 13511348671481698, 'n': 12, 'trace_an': 0}
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id: 143423012
{'hecke_orbit_code': 13511348671481698, 'n': 13, 'trace_an': -2}
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id: 143423013
{'hecke_orbit_code': 13511348671481698, 'n': 14, 'trace_an': -1}
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id: 143423014
{'hecke_orbit_code': 13511348671481698, 'n': 15, 'trace_an': 0}
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id: 143423015
{'hecke_orbit_code': 13511348671481698, 'n': 16, 'trace_an': 2}
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id: 143423016
{'hecke_orbit_code': 13511348671481698, 'n': 17, 'trace_an': 0}
-
id: 143423017
{'hecke_orbit_code': 13511348671481698, 'n': 18, 'trace_an': 0}
-
id: 143423018
{'hecke_orbit_code': 13511348671481698, 'n': 19, 'trace_an': -2}
-
id: 143423019
{'hecke_orbit_code': 13511348671481698, 'n': 20, 'trace_an': 1}
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id: 143423020
{'hecke_orbit_code': 13511348671481698, 'n': 21, 'trace_an': 0}
-
id: 143423021
{'hecke_orbit_code': 13511348671481698, 'n': 22, 'trace_an': 0}
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id: 143423022
{'hecke_orbit_code': 13511348671481698, 'n': 23, 'trace_an': 0}
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id: 143423023
{'hecke_orbit_code': 13511348671481698, 'n': 24, 'trace_an': 0}
-
id: 143423024
{'hecke_orbit_code': 13511348671481698, 'n': 25, 'trace_an': -1}
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id: 143423025
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