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{'Nk2': 20160, 'analytic_conductor': 98.40128302749835, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [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': [315, 1, [281, 127, 136], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 10005798925, 'field_disc_factorization': [[5, 2], [400231957, 1]], 'field_poly': [2744, 1358, -267, -1, 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, [18340, -880, -301, 4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197525811515, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 72, 'hecke_ring_index_factorization': [[2, 3], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '315.8.a.h', 'level': 315, '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': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '105.8.a.g', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{1})q^{2}+(26+\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '315.8.a', 'trace_display': [-4, 0, 500, -1372], 'trace_hash': 1748999222086332354, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.829', 'prec': 17}, 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mf_hecke_nf • Show schema
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'hecke_ring_denominators': [1, 35, 35, 35], 'hecke_ring_inverse_denominators': [1, 6, 6, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [1, 2, 1, 0], [806, -18, -6, 1], [-2512, 349, 113, -3]], 'hecke_ring_numerators': [[1, 0, 0, 0], [63, -190, 6, 1], [-161, 590, -12, -2], [-28042, 120, 246, 6]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '315.8.a.h', 'level': 315, 'maxp': 2999, 'weight': 8}
-
mf_newspaces • Show schema
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{'ALdims': [6, 8, 6, 8, 10, 11, 12, 9], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [38, 32, 32, 34, 31, 30, 29, 32], 'Nk2': 20160, 'analytic_conductor': 98.40128302749835, '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': [315, 1, [281, 127, 136], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 328, 'dim': 70, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 134218043, 'hecke_orbit_dims': [1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 8], 'label': '315.8.a', 'level': 315, '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': [3, 5, 7], 'level_radical': 105, 'mf_dim': 344, 'mf_new_dim': 70, 'num_forms': 17, 'plus_dim': 37, 'prim_orbit_index': 1, 'relative_dim': 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68843107424, -13822330480, 0, 279010897152, 52519730548, 0, 56200456288, 0, 0, -324595573852, 58534022244, 0, -25048369500, 111925575652, 0, -10486095288, -182692099248, 0, -47640315568, -50132085680, 0, -48141125648, 55159384500, 0, 92172386348, 80280841836, 0, -21328125000], 'weight': 8, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 241631
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '315.8.a.h', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '105.8.a.g', 'target_level': 105, 'twist_class_label': '105.8.a.g', 'twist_class_level': 105, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 241632
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '315.8.a.h', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '315.8.a.h', 'target_level': 315, 'twist_class_label': '105.8.a.g', 'twist_class_level': 105, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 241633
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '315.8.a.h', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '525.8.a.j', 'target_level': 525, 'twist_class_label': '105.8.a.g', 'twist_class_level': 105, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 695500
{'charpoly_factorization': [[[18340, -880, -301, 4, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 2}
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id: 695501
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525197525811515, 'p': 3}
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id: 695502
{'charpoly_factorization': [[[-125, 1], 4]], 'hecke_orbit_code': 31525197525811515, 'p': 5}
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id: 695503
{'charpoly_factorization': [[[343, 1], 4]], 'hecke_orbit_code': 31525197525811515, 'p': 7}
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id: 695504
{'charpoly_factorization': [[[-16513592216576, -186862424384, -69224128, 3032, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 11}
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id: 695505
{'charpoly_factorization': [[[-155277745464560, 152787716320, -40162504, -952, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 13}
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id: 695506
{'charpoly_factorization': [[[-205232226419207216, 16097595477952, 318676328, -50464, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 17}
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id: 695507
{'charpoly_factorization': [[[1538555676713618944, -3753436075584, -3015581728, 15672, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 19}
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id: 695508
{'charpoly_factorization': [[[-21619536714915641600, 985476724228480, -9117976576, -89656, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 23}
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id: 695509
{'charpoly_factorization': [[[-528594868836916814384, 10682835555054272, -47525805336, -152032, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 29}
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id: 695510
{'charpoly_factorization': [[[-207110918869804293120, -10787775576292800, -54159315264, 174768, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 31}
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id: 695511
{'charpoly_factorization': [[[23424739805318121409104, 55893802029950592, -286844298552, -336624, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 37}
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id: 695512
{'charpoly_factorization': [[[-60150611119288795620464, 304202625704034080, -205889746888, -831320, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 41}
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id: 695513
{'charpoly_factorization': [[[63047523345749726621440, 236127215354499200, -615797253376, -487304, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 43}
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id: 695514
{'charpoly_factorization': [[[162382430071943346257920, 987516547470049280, -338511922176, -1694344, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 47}
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id: 695515
{'charpoly_factorization': [[[-331419800922535355189936, 1136232834620485312, -189950968792, -1622704, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 53}
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id: 695516
{'charpoly_factorization': [[[-133180150448986737079040, 4329217119170485760, -3421646908896, -1791904, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 59}
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id: 695517
{'charpoly_factorization': [[[-14398665780156229143269424, -3957786143519583168, 10209364556904, 6305568, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 61}
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id: 695518
{'charpoly_factorization': [[[-162330913737124540131584, -28455172174186648192, -647540521216, 5721352, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 67}
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id: 695519
{'charpoly_factorization': [[[-17605206713810214593907200, 37087693421693604800, -16225327673760, -806800, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 71}
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id: 695520
{'charpoly_factorization': [[[9492253736771377704499984, -5996184305450996704, -8767979535688, 2063992, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 73}
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id: 695521
{'charpoly_factorization': [[[-172866987600287323094441984, -57102111571627006464, 20139060438656, 9897216, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 79}
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id: 695522
{'charpoly_factorization': [[[303508409168033083141294336, -141763209507976868096, -38136585784224, 5170384, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 83}
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id: 695523
{'charpoly_factorization': [[[-64327606737212741525941616, 236478432168676123296, 3825004182392, -12345528, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 89}
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id: 695524
{'charpoly_factorization': [[[4407833319202563035636590864, 1356334958359750420512, -124999977989512, -13936104, 1], 1]], 'hecke_orbit_code': 31525197525811515, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '315.8.a.h', 'level': 315, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 49575193
{'hecke_orbit_code': 31525197525811515, 'n': 1, 'trace_an': 4}
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id: 49575194
{'hecke_orbit_code': 31525197525811515, 'n': 2, 'trace_an': -4}
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id: 49575195
{'hecke_orbit_code': 31525197525811515, 'n': 3, 'trace_an': 0}
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id: 49575196
{'hecke_orbit_code': 31525197525811515, 'n': 4, 'trace_an': 106}
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id: 49575197
{'hecke_orbit_code': 31525197525811515, 'n': 5, 'trace_an': 500}
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id: 49575198
{'hecke_orbit_code': 31525197525811515, 'n': 6, 'trace_an': 0}
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