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mf_newforms • Show schema
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{'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [8100, 2, [4051, 6401, 7777], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 649, 'conrey_indexes': [649], 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 0, 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': [[7, [121, 0, 23, 0, 1]], [11, [-9, 3, 1]], [29, [-36, -6, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036202465697700, 'hecke_ring_generator_nbound': 13, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8100.2.d.k', 'level': 8100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '8100.2.a.o', 'nf_label': '4.0.400.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{2}q^{7}+(-2+\\beta _{3})q^{11}+(2\\beta _{1}-\\beta _{2}+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8100.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1209818555279434435, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.507', 'prec': 17}, {'__RealLiteral__': 0, 'data': '79.034', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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'hecke_ring_inverse_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-5, 0, 0, 1], [0, 5, -2, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, 1], [0, 5, 0, 1], [5, 0, 3, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '8100.2.d.k', 'level': 8100, 'maxp': 3229, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [8100, 2, [4051, 6401, 7777], [2, 2, 1]], 'conrey_index': 649, 'cusp_dim': 1512, 'dim': 72, 'eis_dim': 216, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 29], 'hecke_orbit_code': 206191992740, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 8, 8, 8], 'label': '8100.2.d', 'level': 8100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1728, 'mf_new_dim': 72, 'num_forms': 19, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 3240, 'trace_bound': 29, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 408], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1377461
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '8100.2.a.o', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1377462
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '8100.2.a.p', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1377463
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '8100.2.a.q', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1377464
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '8100.2.a.r', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1377465
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '8100.2.d.k', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1377466
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '8100.2.d.k', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377467
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '8100.2.d.n', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377468
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '8100.2.d.k', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '8100.2.d.n', 'target_level': 8100, 'twist_class_label': '8100.2.a.o', 'twist_class_level': 8100, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4660125
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036202465697700, 'p': 2}
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id: 4660126
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036202465697700, 'p': 3}
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id: 4660127
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036202465697700, 'p': 5}
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id: 4660128
{'charpoly_factorization': [[[121, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 7}
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id: 4660129
{'charpoly_factorization': [[[-9, 3, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 11}
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id: 4660130
{'charpoly_factorization': [[[25, 0, 35, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 13}
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id: 4660131
{'charpoly_factorization': [[[81, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 17}
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id: 4660132
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 45036202465697700, 'p': 19}
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id: 4660133
{'charpoly_factorization': [[[81, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 23}
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id: 4660134
{'charpoly_factorization': [[[-36, -6, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 29}
-
id: 4660135
{'charpoly_factorization': [[[-29, 8, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 31}
-
id: 4660136
{'charpoly_factorization': [[[25, 0, 35, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 37}
-
id: 4660137
{'charpoly_factorization': [[[-99, 3, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 41}
-
id: 4660138
{'charpoly_factorization': [[[25, 0, 35, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 43}
-
id: 4660139
{'charpoly_factorization': [[[45, 0, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 47}
-
id: 4660140
{'charpoly_factorization': [[[81, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 53}
-
id: 4660141
{'charpoly_factorization': [[[9, 9, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 59}
-
id: 4660142
{'charpoly_factorization': [[[-5, 5, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 61}
-
id: 4660143
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 67}
-
id: 4660144
{'charpoly_factorization': [[[-9, 1], 4]], 'hecke_orbit_code': 45036202465697700, 'p': 71}
-
id: 4660145
{'charpoly_factorization': [[[841, 0, 122, 0, 1], 1]], 'hecke_orbit_code': 45036202465697700, 'p': 73}
-
id: 4660146
{'charpoly_factorization': [[[-20, 10, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 79}
-
id: 4660147
{'charpoly_factorization': [[[45, 0, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 83}
-
id: 4660148
{'charpoly_factorization': [[[-12, 1], 4]], 'hecke_orbit_code': 45036202465697700, 'p': 89}
-
id: 4660149
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 45036202465697700, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 11, 'label': '8100.2.d.k', 'level': 8100, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 214937000
{'hecke_orbit_code': 45036202465697700, 'n': 1, 'trace_an': 4}
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id: 214937001
{'hecke_orbit_code': 45036202465697700, 'n': 2, 'trace_an': 0}
-
id: 214937002
{'hecke_orbit_code': 45036202465697700, 'n': 3, 'trace_an': 0}
-
id: 214937003
{'hecke_orbit_code': 45036202465697700, 'n': 4, 'trace_an': 0}
-
id: 214937004
{'hecke_orbit_code': 45036202465697700, 'n': 5, 'trace_an': 0}
-
id: 214937005
{'hecke_orbit_code': 45036202465697700, 'n': 6, 'trace_an': 0}
-
id: 214937006
{'hecke_orbit_code': 45036202465697700, 'n': 7, 'trace_an': 0}
-
id: 214937007
{'hecke_orbit_code': 45036202465697700, 'n': 8, 'trace_an': 0}
-
id: 214937008
{'hecke_orbit_code': 45036202465697700, 'n': 9, 'trace_an': 0}
-
id: 214937009
{'hecke_orbit_code': 45036202465697700, 'n': 10, 'trace_an': 0}
-
id: 214937010
{'hecke_orbit_code': 45036202465697700, 'n': 11, 'trace_an': -6}
-
id: 214937011
{'hecke_orbit_code': 45036202465697700, 'n': 12, 'trace_an': 0}
-
id: 214937012
{'hecke_orbit_code': 45036202465697700, 'n': 13, 'trace_an': 0}
-
id: 214937013
{'hecke_orbit_code': 45036202465697700, 'n': 14, 'trace_an': 0}
-
id: 214937014
{'hecke_orbit_code': 45036202465697700, 'n': 15, 'trace_an': 0}
-
id: 214937015
{'hecke_orbit_code': 45036202465697700, 'n': 16, 'trace_an': 0}
-
id: 214937016
{'hecke_orbit_code': 45036202465697700, 'n': 17, 'trace_an': 0}
-
id: 214937017
{'hecke_orbit_code': 45036202465697700, 'n': 18, 'trace_an': 0}
-
id: 214937018
{'hecke_orbit_code': 45036202465697700, 'n': 19, 'trace_an': -8}
-
id: 214937019
{'hecke_orbit_code': 45036202465697700, 'n': 20, 'trace_an': 0}
-
id: 214937020
{'hecke_orbit_code': 45036202465697700, 'n': 21, 'trace_an': 0}
-
id: 214937021
{'hecke_orbit_code': 45036202465697700, 'n': 22, 'trace_an': 0}
-
id: 214937022
{'hecke_orbit_code': 45036202465697700, 'n': 23, 'trace_an': 0}
-
id: 214937023
{'hecke_orbit_code': 45036202465697700, 'n': 24, 'trace_an': 0}
-
id: 214937024
{'hecke_orbit_code': 45036202465697700, 'n': 25, 'trace_an': 0}
-
id: 214937025
{'hecke_orbit_code': 45036202465697700, 'n': 26, 'trace_an': 0}
-
id: 214937026
{'hecke_orbit_code': 45036202465697700, 'n': 27, 'trace_an': 0}
-
id: 214937027
{'hecke_orbit_code': 45036202465697700, 'n': 28, 'trace_an': 0}
-
id: 214937028
{'hecke_orbit_code': 45036202465697700, 'n': 29, 'trace_an': 12}
-
id: 214937029
{'hecke_orbit_code': 45036202465697700, 'n': 30, 'trace_an': 0}
-
id: 214937030
{'hecke_orbit_code': 45036202465697700, 'n': 31, 'trace_an': -16}
-
id: 214937031
{'hecke_orbit_code': 45036202465697700, 'n': 32, 'trace_an': 0}
-
id: 214937032
{'hecke_orbit_code': 45036202465697700, 'n': 33, 'trace_an': 0}
-
id: 214937033
{'hecke_orbit_code': 45036202465697700, 'n': 34, 'trace_an': 0}
-
id: 214937034
{'hecke_orbit_code': 45036202465697700, 'n': 35, 'trace_an': 0}
-
id: 214937035
{'hecke_orbit_code': 45036202465697700, 'n': 36, 'trace_an': 0}
-
id: 214937036
{'hecke_orbit_code': 45036202465697700, 'n': 37, 'trace_an': 0}
-
id: 214937037
{'hecke_orbit_code': 45036202465697700, 'n': 38, 'trace_an': 0}
-
id: 214937038
{'hecke_orbit_code': 45036202465697700, 'n': 39, 'trace_an': 0}
-
id: 214937039
{'hecke_orbit_code': 45036202465697700, 'n': 40, 'trace_an': 0}
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id: 214937040
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