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mf_newforms • Show schema
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{'Nk2': 1428, 'analytic_conductor': 2.8506593521597097, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [357, 2, [239, 52, 190], [1, 1, 2]], 'cm_discs': [], 'conrey_index': 188, 'dim': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [72, -132, -966, 2291, 100, -1515, 18, 338, -2, -31, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819355493, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 21, 3, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '357.2.d.b', 'level': 357, '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': [3, 7, 17], 'level_radical': 357, 'minimal_twist': '357.2.d.a', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '357.2.d', 'trace_display': [0, 0, 0, -2], 'traces': [22, 0, 0, -24, 0, 5, -2, 0, -4, 0, 0, 0, 0, -8, -4, 20, 22, 8, 0, -30, -4, -12, 0, -44, 14, -24, 6, 8, 0, 5, 0, 0, 28, 0, 10, -3, -16, 88, -14, 0, -16, 19, -24, 0, -46, 4, -16, 25, 6, 0, 0, 0, 0, 36, 0, -40, -6, 24, 24, -21, 0, -20, -6, -20, 0, -116, 8, -24, 6, 4, 0, -7, 0, 0, 54, 0, 6, 2, 16, 128, -4, 0, 8, 42, 0, 0, -48, 32, -100, 47, 18, 0, 20, 0, 0, 88, 0, -8, 18, -48, 84, 5, 0, 44, -4, -24, 0, -111, -28, -40, -30, -20, 0, 18, 0, 0, 100, 0, -2, -27, -54, 50, 32, 0, 12, 124, 40, 0, -64, -72, -76, -18, 6, 0, -20, 0, 0, 4, 0, -116, 12, 12, 48, -22, 0, -50, 0, 40, 0, -147, -32, -128, -4, -16, 0, 80, 0, 0, 74, 0, 38, 67, 52, 188, 46, 0, 56, 4, -18, 0, -62, 88, -60, 18, -20, 0, -44, 0, 0, 56, 0, -128, 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label 357.2.d.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 1428, 'analytic_conductor': 2.8506593521597097, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [357, 2, [239, 52, 190], [1, 1, 2]], 'conrey_index': 188, 'cusp_dim': 44, 'dim': 44, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 206191984997, 'hecke_orbit_dims': [22, 22], 'label': '357.2.d', 'level': 357, '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': [3, 7, 17], 'level_radical': 357, 'mf_dim': 52, 'mf_new_dim': 44, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 44, 'sturm_bound': 96, 'trace_bound': 6, 'trace_display': [0, 0, 0, -4], 'traces': [44, 0, 0, -48, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, -8, 40, 0, 16, 0, 0, -12, -24, 0, 0, 28, 0, 0, 16, 0, 10, 0, 0, 0, 0, 0, -6, -32, 0, -28, 0, 0, 22, -48, 0, 0, 8, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -12, 48, 0, -42, 0, 0, -16, -40, 0, 0, 16, 0, 0, 8, 0, -14, 0, 0, 0, 0, 0, 4, 32, 0, -8, 0, 0, 52, 0, 0, 0, 64, 0, 0, 36, 0, 40, 0, 0, 0, 0, 0, 36, -96, 0, 10, 0, 0, 4, -48, 0, 0, -56, 0, 0, -40, 0, 36, 0, 0, 0, 0, 0, -54, -108, 0, 64, 0, 0, 80, 80, 0, 0, -144, 0, 0, 12, 0, -40, 0, 0, 0, 0, 0, 24, 24, 0, -44, 0, 0, -64, 80, 0, 0, -64, 0, 0, -32, 0, 160, 0, 0, 0, 0, 0, 134, 104, 0, 92, 0, 0, -176, -36, 0, 0, 176, 0, 0, -40, 0, -88, 0, 0, 0, 0, 0, 32, 72, 0, -126, 0, 0, -12, 136, 0, 0, -48, 0, 0, -24, 0, -220, 0, 0, 0, 0, 0, 0, -128, 0, -52, 0, 0, -36, -24, 0, 0, -16, 0, 0, 56, 0, 24, 0, 0, 0, 0, 0, -24, 96, 0, 72, 0, 0, 116, -184, 0, 0, -8, 0, 0, -16, 0, 198, 0, 0, 0, 0, 0, -184, 144, 0, 108, 0, 0, -32, 112, 0, 0, 24, 0, 0, 40, 0, -76, 0, 0, 0, 0, 0, -200, -100, 0, 210, 0, 0, 24, 76, 0, 0, 152, 0, 0, -68, 0, -220, 0, 0, 0, 0, 0, 116, 44, 0, -136, 0, 0, 144, -72, 0, 0, 68, 0, 0, -12, 0, -60, 0, 0, 0, 0, 0, -60, -36, 0, 212, 0, 0, 88, -96, 0, 0, 176, 0, 0, -48, 0, 136, 0, 0, 0, 0, 0, 28, -240, 0, -124, 0, 0, -18, -32, 0, 0, -60, 0, 0, -76, 0, 48, 0, 0, 0, 0, 0, 192, -240, 0, -44, 0, 0, 4, 228, 0, 0, -172, 0, 0, -136, 0, -120, 0, 0, 0, 0, 0, -98, 160, 0, -104, 0, 0, -220, -24, 0, 0, 304, 0, 0, 188, 0, 88, 0, 0, 0, 0, 0, 64, -296, 0, -304, 0, 0, 64, -292, 0, 0, -112, 0, 0, 336, 0, -88, 0, 0, 0, 0, 0, -168, 152, 0, -72, 0, 0, -236, -16, 0, 0, 252, 0, 0, 40, 0, 16, 0, 0, 0, 0, 0, 172, 424, 0, 0, 0, 0, 128, -48, 0, 0, 32, 0, 0, 24, 0, 394, 0, 0, 0, 0, 0, 192, -192, 0, 12, 0, 0, 32, 0, 0, 0, -232, 0, 0, -264, 0, 200, 0, 0, 0, 0, 0, -36, -196, 0, 284, 0, 0, 104, 384, 0, 0, -288, 0, 0, 8, 0, -186, 0, 0, 0, 0, 0, 220, -72, 0, -132, 0, 0, -132, 144, 0, 0, -468, 0, 0, -48, 0, 260, 0, 0, 0, 0, 0, 80, 576, 0, 104, 0, 0, -264, -176, 0, 0, 244, 0, 0, -240, 0, -364, 0, 0, 0, 0, 0, -120, 80, 0, -56, 0, 0, 48, 224, 0, 0, -280, 0, 0, -208, 0, -352, 0, 0, 0, 0, 0, 56, -64, 0, -180, 0, 0, -176, -264, 0, 0, 64, 0, 0, 52, 0, 288, 0, 0, 0, 0, 0, -70, 112, 0, 188, 0, 0, 456, -112, 0, 0, -320, 0, 0, 20, 0, 172, 0, 0, 0, 0, 0, -232, 304, 0, 384, 0, 0, -40, 260, 0, 0, 64, 0, 0, 424, 0, 56, 0, 0, 0, 0, 0, -132, -340, 0, 368, 0, 0, 106, -112, 0, 0, 456, 0, 0, 8, 0, -276, 0, 0, 0, 0, 0, 4, 176, 0, -228, 0, 0, 136, 152, 0, 0, 160, 0, 0, 472, 0, -356, 0, 0, 0, 0, 0, -336, -48, 0, 140, 0, 0, 324, -288, 0, 0, -80, 0, 0, -192, 0, 144, 0, 0, 0, 0, 0, 56, -692, 0, -280, 0, 0, -8, -448, 0, 0, -32, 0, 0, -152, 0, -148, 0, 0, 0, 0, 0, 156, 40, 0, 172, 0, 0, 16, 96, 0, 0, 32, 0, 0, 60, 0, -264, 0, 0, 0, 0, 0, -248, 100, 0, -282, 0, 0, -256, -328, 0, 0, 224, 0, 0, 32, 0, 198, 0, 0, 0, 0, 0, -358, -336, 0, -228, 0, 0, 78, 16, 0, 0, -104, 0, 0, 240, 0, -92, 0, 0, 0, 0, 0, 156, 416, 0, -378, 0, 0, -132, 192, 0, 0, 48, 0, 0, -96, 0, 248, 0, 0, 0, 0, 0, 600, 392, 0, -80, 0, 0, 128, -32, 0, 0, 248, 0, 0, 412, 0, 520, 0, 0, 0, 0, 0, 60, -272, 0, 50, 0, 0, -108, 428, 0, 0, 160, 0, 0, -560, 0, 324, 0, 0, 0, 0, 0, -138, -304, 0, 164, 0, 0, 104, 204, 0, 0, -480, 0, 0, 48, 0, -312, 0, 0, 0, 0, 0, 108, 16, 0, -344, 0, 0, -176, 104, 0, 0, -496, 0, 0, -44, 0, 732, 0, 0, 0, 0, 0, 486, 504, 0, 196, 0, 0, -568, -352, 0, 0, -240, 0, 0, -196, 0, -272, 0, 0, 0, 0, 0, -120, 368, 0, -252, 0, 0, -8, 632, 0, 0, -120, 0, 0, -408, 0, -632, 0, 0, 0, 0, 0, 72, -144, 0, -172, 0, 0, -260, -88, 0, 0, 552, 0, 0, 24, 0, 248, 0, 0, 0, 0, 0, -216, -224, 0, 24, 0, 0, 328, 24, 0, 0, -152, 0, 0, -80, 0, 282, 0, 0, 0, 0, 0, -542, 492, 0, 360, 0, 0, -104, 160, 0, 0, 436, 0, 0, 80, 0, 116, 0, 0, 0, 0, 0, -424, 48, 0, 586, 0, 0, 32, 368, 0, 0, 8, 0, 0, -8, 0, -892, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 270394
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 22, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '357.2.d.b', 'source_level': 357, 'target_char_orbit': 4, 'target_dim': 22, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '357.2.d.a', 'target_level': 357, 'twist_class_label': '357.2.d.a', 'twist_class_level': 357, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 270395
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 22, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '357.2.d.b', 'source_level': 357, 'target_char_orbit': 4, 'target_dim': 22, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '357.2.d.a', 'target_level': 357, 'twist_class_label': '357.2.d.a', 'twist_class_level': 357, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 270396
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 22, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '357.2.d.b', 'source_level': 357, 'target_char_orbit': 4, 'target_dim': 22, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '357.2.d.b', 'target_level': 357, 'twist_class_label': '357.2.d.a', 'twist_class_level': 357, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 270397
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 22, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '357.2.d.b', 'source_level': 357, 'target_char_orbit': 4, 'target_dim': 22, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '357.2.d.b', 'target_level': 357, 'twist_class_label': '357.2.d.a', 'twist_class_level': 357, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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hecke_orbit_code 4503805819355493 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '357.2.d.b', 'level': 357, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 21507631
{'hecke_orbit_code': 4503805819355493, 'n': 1, 'trace_an': 22}
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id: 21507632
{'hecke_orbit_code': 4503805819355493, 'n': 2, 'trace_an': 0}
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id: 21507633
{'hecke_orbit_code': 4503805819355493, 'n': 3, 'trace_an': 0}
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id: 21507634
{'hecke_orbit_code': 4503805819355493, 'n': 4, 'trace_an': -24}
-
id: 21507635
{'hecke_orbit_code': 4503805819355493, 'n': 5, 'trace_an': 0}
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id: 21507636
{'hecke_orbit_code': 4503805819355493, 'n': 6, 'trace_an': 5}
-
id: 21507637
{'hecke_orbit_code': 4503805819355493, 'n': 7, 'trace_an': -2}
-
id: 21507638
{'hecke_orbit_code': 4503805819355493, 'n': 8, 'trace_an': 0}
-
id: 21507639
{'hecke_orbit_code': 4503805819355493, 'n': 9, 'trace_an': -4}
-
id: 21507640
{'hecke_orbit_code': 4503805819355493, 'n': 10, 'trace_an': 0}
-
id: 21507641
{'hecke_orbit_code': 4503805819355493, 'n': 11, 'trace_an': 0}
-
id: 21507642
{'hecke_orbit_code': 4503805819355493, 'n': 12, 'trace_an': 0}
-
id: 21507643
{'hecke_orbit_code': 4503805819355493, 'n': 13, 'trace_an': 0}
-
id: 21507644
{'hecke_orbit_code': 4503805819355493, 'n': 14, 'trace_an': -8}
-
id: 21507645
{'hecke_orbit_code': 4503805819355493, 'n': 15, 'trace_an': -4}
-
id: 21507646
{'hecke_orbit_code': 4503805819355493, 'n': 16, 'trace_an': 20}
-
id: 21507647
{'hecke_orbit_code': 4503805819355493, 'n': 17, 'trace_an': 22}
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id: 21507648
{'hecke_orbit_code': 4503805819355493, 'n': 18, 'trace_an': 8}
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id: 21507649
{'hecke_orbit_code': 4503805819355493, 'n': 19, 'trace_an': 0}
-
id: 21507650
{'hecke_orbit_code': 4503805819355493, 'n': 20, 'trace_an': -30}
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id: 21507651
{'hecke_orbit_code': 4503805819355493, 'n': 21, 'trace_an': -4}
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id: 21507652
{'hecke_orbit_code': 4503805819355493, 'n': 22, 'trace_an': -12}
-
id: 21507653
{'hecke_orbit_code': 4503805819355493, 'n': 23, 'trace_an': 0}
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id: 21507654
{'hecke_orbit_code': 4503805819355493, 'n': 24, 'trace_an': -44}
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id: 21507655
{'hecke_orbit_code': 4503805819355493, 'n': 25, 'trace_an': 14}
-
id: 21507656
{'hecke_orbit_code': 4503805819355493, 'n': 26, 'trace_an': -24}
-
id: 21507657
{'hecke_orbit_code': 4503805819355493, 'n': 27, 'trace_an': 6}
-
id: 21507658
{'hecke_orbit_code': 4503805819355493, 'n': 28, 'trace_an': 8}
-
id: 21507659
{'hecke_orbit_code': 4503805819355493, 'n': 29, 'trace_an': 0}
-
id: 21507660
{'hecke_orbit_code': 4503805819355493, 'n': 30, 'trace_an': 5}
-
id: 21507661
{'hecke_orbit_code': 4503805819355493, 'n': 31, 'trace_an': 0}
-
id: 21507662
{'hecke_orbit_code': 4503805819355493, 'n': 32, 'trace_an': 0}
-
id: 21507663
{'hecke_orbit_code': 4503805819355493, 'n': 33, 'trace_an': 28}
-
id: 21507664
{'hecke_orbit_code': 4503805819355493, 'n': 34, 'trace_an': 0}
-
id: 21507665
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id: 21507888
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