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mf_newforms • Show schema
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{'Nk2': 2015, 'analytic_conductor': 1.0056160004555, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 2015, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [2015, 2, [807, 1861, 716], [1, 1, 1]], 'cm_discs': [-2015], 'conrey_index': 2014, 'conrey_indexes': [2014], 'dim': 6, 'field_disc': 371293, 'field_disc_factorization': [[13, 5]], 'field_poly': [-1, -3, 6, 4, -5, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 26, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 3, 6, -4, -5, 1, 1]], [3, [-1, -3, 6, 4, -5, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007680307857375, '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, 2015, 8, -1, 2, -2015]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '2015.1.h.c', 'level': 2015, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 13, 31], 'level_radical': 2015, 'minimal_twist': '2015.1.h.b', 'nf_label': '6.6.371293.1', 'prim_orbit_index': 8, 'projective_field': [-125, -50, 345, 240, -498, 15, -81, 180, -78, 71, -45, 17, -5, 1], 'projective_image': 'D13', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{3}q^{3}+(1+\\beta _{2})q^{4}+q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'self_twist_discs': [-2015], 'self_twist_type': 1, 'space_label': '2015.1.h', 'trace_display': [-1, 1, 6, -1], 'trace_hash': 80979314946680159, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.042', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.614', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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'hecke_ring_rank': 6, 'label': '2015.1.h.c', 'level': 2015, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 2015, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.0056160004555, 'char_conductor': 2015, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [2015, 2, [807, 1861, 716], [1, 1, 1]], 'conrey_index': 2014, 'cusp_dim': 28, 'dihedral_dim': 28, 'dim': 28, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_orbit_code': 481053116383, 'hecke_orbit_dims': [4, 6, 6, 6, 6], 'label': '2015.1.h', 'level': 2015, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 13, 31], 'level_radical': 2015, 'mf_dim': 32, 'mf_new_dim': 32, 'num_forms': 5, 'prim_orbit_index': 8, 'relative_dim': 28, 's4_dim': 0, 'sturm_bound': 224, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 16, 0, 0, 0, 0, 24, -4, 0, 0, 0, -8, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 857396
{'conductor': 31, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '2015.1.h.b', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '31.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 857397
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '2015.1.h.b', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 857398
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2015.1.h.c', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 857399
{'conductor': 2015, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -2015, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2015.1.h.c', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '2015.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 857400
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2015.1.h.d', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 857401
{'conductor': 403, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2015.1.h.d', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '403.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 857402
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '2015.1.h.e', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 857403
{'conductor': 155, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2015.1.h.c', 'source_level': 2015, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '2015.1.h.e', 'target_level': 2015, 'twist_class_label': '2015.1.h.b', 'twist_class_level': 2015, 'twisting_char_label': '155.c', 'twisting_char_orbit': 3, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2364725
{'charpoly_factorization': [[[-1, 3, 6, -4, -5, 1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 2}
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id: 2364726
{'charpoly_factorization': [[[-1, -3, 6, 4, -5, -1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 3}
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id: 2364727
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 5}
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id: 2364728
{'charpoly_factorization': [[[-1, 3, 6, -4, -5, 1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 7}
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id: 2364729
{'charpoly_factorization': [[[-1, -3, 6, 4, -5, -1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 11}
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id: 2364730
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 13}
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id: 2364731
{'charpoly_factorization': [[[-1, -3, 6, 4, -5, -1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 17}
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id: 2364732
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 19}
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id: 2364733
{'charpoly_factorization': [[[-1, -3, 6, 4, -5, -1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 23}
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id: 2364734
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 29}
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id: 2364735
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 31}
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id: 2364736
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 37}
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id: 2364737
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 41}
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id: 2364738
{'charpoly_factorization': [[[-1, -3, 6, 4, -5, -1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 43}
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id: 2364739
{'charpoly_factorization': [[[-1, 3, 6, -4, -5, 1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 47}
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id: 2364740
{'charpoly_factorization': [[[-1, -3, 6, 4, -5, -1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 53}
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id: 2364741
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 59}
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id: 2364742
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 61}
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id: 2364743
{'charpoly_factorization': [[[-1, 3, 6, -4, -5, 1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 67}
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id: 2364744
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 71}
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id: 2364745
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 73}
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id: 2364746
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 79}
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id: 2364747
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007680307857375, 'p': 83}
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id: 2364748
{'charpoly_factorization': [[[-1, -3, 6, 4, -5, -1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 89}
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id: 2364749
{'charpoly_factorization': [[[-1, 3, 6, -4, -5, 1, 1], 1]], 'hecke_orbit_code': 9007680307857375, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 3, 'label': '2015.1.h.c', 'level': 2015, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 120106000
{'hecke_orbit_code': 9007680307857375, 'n': 1, 'trace_an': 6}
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id: 120106001
{'hecke_orbit_code': 9007680307857375, 'n': 2, 'trace_an': -1}
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id: 120106002
{'hecke_orbit_code': 9007680307857375, 'n': 3, 'trace_an': 1}
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id: 120106003
{'hecke_orbit_code': 9007680307857375, 'n': 4, 'trace_an': 5}
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id: 120106004
{'hecke_orbit_code': 9007680307857375, 'n': 5, 'trace_an': 6}
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id: 120106005
{'hecke_orbit_code': 9007680307857375, 'n': 6, 'trace_an': 2}
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id: 120106006
{'hecke_orbit_code': 9007680307857375, 'n': 7, 'trace_an': -1}
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id: 120106007
{'hecke_orbit_code': 9007680307857375, 'n': 8, 'trace_an': -2}
-
id: 120106008
{'hecke_orbit_code': 9007680307857375, 'n': 9, 'trace_an': 5}
-
id: 120106009
{'hecke_orbit_code': 9007680307857375, 'n': 10, 'trace_an': -1}
-
id: 120106010
{'hecke_orbit_code': 9007680307857375, 'n': 11, 'trace_an': 1}
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id: 120106011
{'hecke_orbit_code': 9007680307857375, 'n': 12, 'trace_an': 3}
-
id: 120106012
{'hecke_orbit_code': 9007680307857375, 'n': 13, 'trace_an': -6}
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id: 120106013
{'hecke_orbit_code': 9007680307857375, 'n': 14, 'trace_an': -2}
-
id: 120106014
{'hecke_orbit_code': 9007680307857375, 'n': 15, 'trace_an': 1}
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id: 120106015
{'hecke_orbit_code': 9007680307857375, 'n': 16, 'trace_an': 4}
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id: 120106016
{'hecke_orbit_code': 9007680307857375, 'n': 17, 'trace_an': 1}
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id: 120106017
{'hecke_orbit_code': 9007680307857375, 'n': 18, 'trace_an': -3}
-
id: 120106018
{'hecke_orbit_code': 9007680307857375, 'n': 19, 'trace_an': 0}
-
id: 120106019
{'hecke_orbit_code': 9007680307857375, 'n': 20, 'trace_an': 5}
-
id: 120106020
{'hecke_orbit_code': 9007680307857375, 'n': 21, 'trace_an': 2}
-
id: 120106021
{'hecke_orbit_code': 9007680307857375, 'n': 22, 'trace_an': 2}
-
id: 120106022
{'hecke_orbit_code': 9007680307857375, 'n': 23, 'trace_an': 1}
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id: 120106023
{'hecke_orbit_code': 9007680307857375, 'n': 24, 'trace_an': -9}
-
id: 120106024
{'hecke_orbit_code': 9007680307857375, 'n': 25, 'trace_an': 6}
-
id: 120106025
{'hecke_orbit_code': 9007680307857375, 'n': 26, 'trace_an': 1}
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id: 120106026
{'hecke_orbit_code': 9007680307857375, 'n': 27, 'trace_an': 2}
-
id: 120106027
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