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mf_newforms • Show schema
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{'Nk2': 567, 'analytic_conductor': 1.7166256654698704, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': -1, 'char_values': [63, 6, [29, 10], [1, 6]], 'cm_discs': [], 'conrey_index': 29, 'conrey_indexes': [29, 50], 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1168281436223, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '63.3.r.a', 'level': 63, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.3.r.a', 'prim_orbit_index': 4, 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '63.3.r', 'trace_display': [0, 2, -18, 0], 'traces': [24, 0, 2, 24, -18, -14, 0, 0, 26, 0, -18, 4, 0, 0, -10, -48, 0, -62, -24, -18, -14, -24, 72, 54, 54, 0, -124, 0, 54, -212, 30, 126, -178, 60, 0, 124, 84, -144, 92, -60, 180, 140, -60, 0, -118, -168, 378, 436, -84, -378, 168, -18, 0, 514, -132, 0, -232, 90, -90, 76, 0, 0, 28, 324, 126, 202, 6, -738, -432, 0, 0, -246, -72, -792, 40, 84, 0, 28, -6, 0, -34, -108, -558, -322, 126, 90, 428, 168, 0, -488, 84, 774, -738, -354, 648, -280, -270, 0, 296, -192, -306, 606, -96, 1458, 280, 36, 0, -98, -132, 1098, 882, 0, -504, 616, 90, 0, 344, 288, 126, -792, 246, 738, -242, 294, 0, -28, -216, 756, 352, -72, -1260, -1532, 0, 0, -100, 672, -504, -450, -36, -630, 186, -222, 0, -416, -504, -1764, -70, 216, -360, -706, -210, 0, 0, -336, 954, -1766, 294, 396, 606, -210, 0, -44, 912, -1386, 758, 78, 1404, 588, -270, 0, -238, 396, -198, 2512, 168, -1782, 822, 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label 63.3.r.a does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 567, 'analytic_conductor': 1.7166256654698704, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': -1, 'char_values': [63, 6, [29, 10], [1, 6]], 'conrey_index': 29, 'cusp_dim': 28, 'dim': 24, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 1168281436223, 'hecke_orbit_dims': [24], 'label': '63.3.r', 'level': 63, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 36, 'mf_new_dim': 24, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 12, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [0, 2, -18, 0], 'traces': [24, 0, 2, 24, -18, -14, 0, 0, 26, 0, -18, 4, 0, 0, -10, -48, 0, -62, -24, -18, -14, -24, 72, 54, 54, 0, -124, 0, 54, -212, 30, 126, -178, 60, 0, 124, 84, -144, 92, -60, 180, 140, -60, 0, -118, -168, 378, 436, -84, -378, 168, 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-8874, 4162, 270, 0, 1708, -12336, 162, -6298, -4026, 6354, 7164, 2478, 0, 2988, -8520, 4950, 1166, 786, 756, -4060, -18, 0, 8798, 12828, 4392, 4200, 408, 9666, 2748, -3432, 0, -4202, 1344, 1782, 10972, -4146, 576, 2230, 384, 0, 2076, -5844, 7128, -7776, -5820, -7632, -3192, 1962, 0, 13066, 1716, -7182, -9950, -336, 6318, -10200, 684, 0, -5634, -2760], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 52204
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 18, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.3.r.a', 'target_level': 63, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 52205
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 18, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.3.r.a', 'target_level': 63, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 52206
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 18, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.3.r.a', 'target_level': 189, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 52207
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 18, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.3.r.a', 'target_level': 189, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 52208
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 10, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '441.3.j.g', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 52209
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 10, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '441.3.j.g', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 3}
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id: 52210
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 10, 'target_dim': 24, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.3.j.h', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 52211
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 10, 'target_dim': 24, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.3.j.h', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 52212
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 14, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '441.3.n.g', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 52213
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 14, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '441.3.n.g', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 52214
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 14, 'target_dim': 24, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.3.n.h', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 52215
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 14, 'target_dim': 24, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.3.n.h', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 52216
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 18, 'target_dim': 24, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.3.r.h', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 52217
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 18, 'target_dim': 24, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.3.r.h', 'target_level': 441, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 3}
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id: 52218
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 2, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.3.b.a', 'target_level': 567, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 52219
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 24, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '63.3.r.a', 'source_level': 63, 'target_char_orbit': 2, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.3.b.a', 'target_level': 567, 'twist_class_label': '63.3.r.a', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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hecke_orbit_code 1168281436223 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 1, 'label': '63.3.r.a', 'level': 63, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 48211000
{'hecke_orbit_code': 1168281436223, 'n': 1, 'trace_an': 24}
-
id: 48211001
{'hecke_orbit_code': 1168281436223, 'n': 2, 'trace_an': 0}
-
id: 48211002
{'hecke_orbit_code': 1168281436223, 'n': 3, 'trace_an': 2}
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id: 48211003
{'hecke_orbit_code': 1168281436223, 'n': 4, 'trace_an': 24}
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id: 48211004
{'hecke_orbit_code': 1168281436223, 'n': 5, 'trace_an': -18}
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id: 48211005
{'hecke_orbit_code': 1168281436223, 'n': 6, 'trace_an': -14}
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id: 48211006
{'hecke_orbit_code': 1168281436223, 'n': 7, 'trace_an': 0}
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id: 48211007
{'hecke_orbit_code': 1168281436223, 'n': 8, 'trace_an': 0}
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id: 48211008
{'hecke_orbit_code': 1168281436223, 'n': 9, 'trace_an': 26}
-
id: 48211009
{'hecke_orbit_code': 1168281436223, 'n': 10, 'trace_an': 0}
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id: 48211010
{'hecke_orbit_code': 1168281436223, 'n': 11, 'trace_an': -18}
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id: 48211011
{'hecke_orbit_code': 1168281436223, 'n': 12, 'trace_an': 4}
-
id: 48211012
{'hecke_orbit_code': 1168281436223, 'n': 13, 'trace_an': 0}
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id: 48211013
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