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mf_newforms • Show schema
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{'Nk2': 1260, 'analytic_conductor': 5.613433693454322, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [7, -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': [35, 1, [22, 31], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 577880, 'field_disc_factorization': [[2, 3], [5, 1], [14447, 1]], 'field_poly': [-232, -98, 0, 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': [[2, [-420, -86, 6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199355404323, 'hecke_ring_generator_nbound': 3, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '35.6.a.c', 'level': 35, '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': True, 'level_primes': [5, 7], 'level_radical': 35, 'minimal_twist': '35.6.a.c', 'nf_label': '3.3.577880.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2+\\beta _{1})q^{2}+(9+\\beta _{2})q^{3}+(38+2\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '35.6.a', 'trace_display': [-6, 26, -75, 147], 'trace_hash': 1357337127605549519, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.868', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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-874259], [2638752, -3205176, -1018098], [22785728, -472024, -876780], [25037360, 1817880, -374042], [-23989110, 677056, 1118394], [-6568368, -2920600, -1221520], [-1102778, -1906488, 164036], [33082451, 978000, 62995], [-22280696, -934624, 316512], [18045611, 4184208, -1492383]], 'char_orbit_index': 1, 'field_poly': [-232, -98, 0, 1], 'hecke_orbit_code': 9007199355404323, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [66, 4, 2]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-66, -4, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '35.6.a.c', 'level': 35, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'ALdims': [2, 3, 4, 1], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [1, 1, 1, 1], 'ALdims_old': [1, 2, 2, 3], 'Nk2': 1260, 'analytic_conductor': 5.613433693454322, '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': [35, 1, [22, 31], [1, 1]], 'conrey_index': 1, 'cusp_dim': 18, 'dim': 10, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663331, 'hecke_orbit_dims': [1, 2, 3, 4], 'label': '35.6.a', 'level': 35, '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': True, 'level_primes': [5, 7], 'level_radical': 35, 'mf_dim': 22, 'mf_new_dim': 10, 'num_forms': 4, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 10, 'sturm_bound': 24, 'trace_bound': 1, 'trace_display': [-6, 44, 0, -98], 'traces': [10, -6, 44, 162, 0, -64, -98, 354, 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mf_twists_nf • Show schema
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id: 28191
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '35.6.a.c', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '35.6.a.c', 'target_level': 35, 'twist_class_label': '35.6.a.c', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 28192
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '35.6.a.c', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '175.6.a.e', 'target_level': 175, 'twist_class_label': '35.6.a.c', 'twist_class_level': 35, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 28193
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '35.6.a.c', 'source_level': 35, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '175.6.b.e', 'target_level': 175, 'twist_class_label': '35.6.a.c', 'twist_class_level': 35, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 28194
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '35.6.a.c', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '245.6.a.d', 'target_level': 245, 'twist_class_label': '35.6.a.c', 'twist_class_level': 35, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 28195
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '35.6.a.c', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '315.6.a.i', 'target_level': 315, 'twist_class_label': '35.6.a.c', 'twist_class_level': 35, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 28196
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '35.6.a.c', 'source_level': 35, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '560.6.a.q', 'target_level': 560, 'twist_class_label': '35.6.a.c', 'twist_class_level': 35, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 125975
{'charpoly_factorization': [[[-420, -86, 6, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 2}
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id: 125976
{'charpoly_factorization': [[[6056, -271, -26, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 3}
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id: 125977
{'charpoly_factorization': [[[25, 1], 3]], 'hecke_orbit_code': 9007199355404323, 'p': 5}
-
id: 125978
{'charpoly_factorization': [[[-49, 1], 3]], 'hecke_orbit_code': 9007199355404323, 'p': 7}
-
id: 125979
{'charpoly_factorization': [[[-3144468, -15583, 194, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 11}
-
id: 125980
{'charpoly_factorization': [[[-171071930, 1087501, -1892, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 13}
-
id: 125981
{'charpoly_factorization': [[[132716862, -896603, 184, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 17}
-
id: 125982
{'charpoly_factorization': [[[-140259040, -2369180, -1212, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 19}
-
id: 125983
{'charpoly_factorization': [[[125424384, -1476572, -3188, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 23}
-
id: 125984
{'charpoly_factorization': [[[51669601050, 42201805, 11332, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 29}
-
id: 125985
{'charpoly_factorization': [[[8818293376, 19282768, -9200, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 31}
-
id: 125986
{'charpoly_factorization': [[[1043894647208, -190556324, -6042, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 37}
-
id: 125987
{'charpoly_factorization': [[[4748673370848, -404569184, -10442, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 41}
-
id: 125988
{'charpoly_factorization': [[[4763987701360, -99225644, -28112, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 43}
-
id: 125989
{'charpoly_factorization': [[[-1072310433384, -337915327, -2330, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 47}
-
id: 125990
{'charpoly_factorization': [[[515502653472, -368369248, -7190, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 53}
-
id: 125991
{'charpoly_factorization': [[[7000620748800, -362727680, -23760, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 59}
-
id: 125992
{'charpoly_factorization': [[[-1590789613952, -485040544, -8722, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 61}
-
id: 125993
{'charpoly_factorization': [[[26595134017984, 2939620080, 97572, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 67}
-
id: 125994
{'charpoly_factorization': [[[-77522711777280, -1397406976, 52816, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 71}
-
id: 125995
{'charpoly_factorization': [[[11550435576632, -3859440948, -34870, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 73}
-
id: 125996
{'charpoly_factorization': [[[-40598762145400, -279253695, 71546, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 79}
-
id: 125997
{'charpoly_factorization': [[[-529374252288, -2697140848, 20920, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 83}
-
id: 125998
{'charpoly_factorization': [[[-31660963259040, 8081767840, 192622, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 89}
-
id: 125999
{'charpoly_factorization': [[[117394067785166, -7473101907, -116320, 1], 1]], 'hecke_orbit_code': 9007199355404323, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '35.6.a.c', 'level': 35, 'portrait': 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', 'weight': 6}
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mf_hecke_traces • Show schema
Hide schema
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id: 28839217
{'hecke_orbit_code': 9007199355404323, 'n': 1, 'trace_an': 3}
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id: 28839218
{'hecke_orbit_code': 9007199355404323, 'n': 2, 'trace_an': -6}
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id: 28839219
{'hecke_orbit_code': 9007199355404323, 'n': 3, 'trace_an': 26}
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id: 28839220
{'hecke_orbit_code': 9007199355404323, 'n': 4, 'trace_an': 112}
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id: 28839221
{'hecke_orbit_code': 9007199355404323, 'n': 5, 'trace_an': -75}
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id: 28839222
{'hecke_orbit_code': 9007199355404323, 'n': 6, 'trace_an': -96}
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id: 28839223
{'hecke_orbit_code': 9007199355404323, 'n': 7, 'trace_an': 147}
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id: 28839224
{'hecke_orbit_code': 9007199355404323, 'n': 8, 'trace_an': -120}
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id: 28839225
{'hecke_orbit_code': 9007199355404323, 'n': 9, 'trace_an': 489}
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id: 28839226
{'hecke_orbit_code': 9007199355404323, 'n': 10, 'trace_an': 150}
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id: 28839227
{'hecke_orbit_code': 9007199355404323, 'n': 11, 'trace_an': -194}
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id: 28839228
{'hecke_orbit_code': 9007199355404323, 'n': 12, 'trace_an': 2956}
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id: 28839229
{'hecke_orbit_code': 9007199355404323, 'n': 13, 'trace_an': 1892}
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id: 28839230
{'hecke_orbit_code': 9007199355404323, 'n': 14, 'trace_an': -294}
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id: 28839231
{'hecke_orbit_code': 9007199355404323, 'n': 15, 'trace_an': -650}
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id: 28839232
{'hecke_orbit_code': 9007199355404323, 'n': 16, 'trace_an': 1496}
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id: 28839233
{'hecke_orbit_code': 9007199355404323, 'n': 17, 'trace_an': -184}
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id: 28839234
{'hecke_orbit_code': 9007199355404323, 'n': 18, 'trace_an': -6078}
-
id: 28839235
{'hecke_orbit_code': 9007199355404323, 'n': 19, 'trace_an': 1212}
-
id: 28839236
{'hecke_orbit_code': 9007199355404323, 'n': 20, 'trace_an': -2800}
-
id: 28839237
{'hecke_orbit_code': 9007199355404323, 'n': 21, 'trace_an': 1274}
-
id: 28839238
{'hecke_orbit_code': 9007199355404323, 'n': 22, 'trace_an': -872}
-
id: 28839239
{'hecke_orbit_code': 9007199355404323, 'n': 23, 'trace_an': 3188}
-
id: 28839240
{'hecke_orbit_code': 9007199355404323, 'n': 24, 'trace_an': -13920}
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id: 28839241
{'hecke_orbit_code': 9007199355404323, 'n': 25, 'trace_an': 1875}
-
id: 28839242
{'hecke_orbit_code': 9007199355404323, 'n': 26, 'trace_an': -9836}
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id: 28839243
{'hecke_orbit_code': 9007199355404323, 'n': 27, 'trace_an': 7910}
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id: 28839244
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