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mf_newforms • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [630, 3, [281, 127, 451], [1, 3, 1]], 'cm_discs': [], 'conrey_index': 121, 'conrey_indexes': [121, 151], 'dim': 12, 'field_disc': 7870936932326601, 'field_disc_factorization': [[3, 6], [7, 2], [41, 2], [107, 4]], 'field_poly': [729, -729, 567, -81, -18, 72, -21, 24, -2, -3, 7, -3, 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': [[11, [77841, 209250, 409050, 392412, 287776, 84963, 28304, 2466, 1494, 60, 53, -3, 1]], [13, [15625, -15625, 33125, 6000, 21100, 1810, 6376, 1129, 1108, 24, 38, 2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022147553591926, 'hecke_ring_generator_nbound': 11, '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, 63, 8, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '630.2.i.g', 'level': 630, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '630.2.i.g', 'prim_orbit_index': 8, 'qexp_display': 'q+q^{2}-\\beta _{8}q^{3}+q^{4}+(-1-\\beta _{6})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '630.2.i', 'trace_display': [12, 0, -6, 4], 'trace_hash': 2099237814514302993, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.253', 'prec': 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [630, 3, [281, 127, 451], [1, 3, 1]], 'conrey_index': 121, 'cusp_dim': 272, 'dim': 64, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 549789368950, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 12, 12, 12, 16], 'label': '630.2.i', 'level': 630, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 304, 'mf_new_dim': 64, 'num_forms': 9, 'prim_orbit_index': 8, 'relative_dim': 32, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, 4, 4], 'traces': [64, 0, 0, 64, 4, 4, 4, 0, 8, 0, -4, 0, -4, -2, 4, 64, 16, 16, 8, 4, 24, 0, 12, 4, -32, 8, -12, 4, 10, -2, 8, 0, 40, 0, 0, 8, -4, 24, -4, 0, -22, -4, -4, -4, -2, 6, -24, 0, 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mf_twists_cc • Show schema
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id: 45848695
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 121, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022147553591926, 'target_is_minimal': True, 'target_label': '630.2.i.g.121.6', 'target_level': 630, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45848696
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 1171, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022147553593186, 'target_is_minimal': False, 'target_label': '1890.2.i.g.1171.3', 'target_level': 1890, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45848697
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 571, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353712022134, 'target_is_minimal': True, 'target_label': '630.2.l.g.571.2', 'target_level': 630, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45848698
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 1801, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022353712023394, 'target_is_minimal': False, 'target_label': '1890.2.l.g.1801.4', 'target_level': 1890, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45848699
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 331, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353712022134, 'target_is_minimal': True, 'target_label': '630.2.l.g.331.2', 'target_level': 630, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45848700
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 361, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022353712023394, 'target_is_minimal': False, 'target_label': '1890.2.l.g.361.4', 'target_level': 1890, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45848701
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 991, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022147553593186, 'target_is_minimal': False, 'target_label': '1890.2.i.g.991.3', 'target_level': 1890, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45848702
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27022147553591926, 'source_is_minimal': True, 'source_label': '630.2.i.g.121.6', 'source_level': 630, 'target_conrey_index': 151, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022147553591926, 'target_is_minimal': True, 'target_label': '630.2.i.g.151.6', 'target_level': 630, 'twist_class_label': '630.2.i.g.121.6', 'twist_class_level': 630, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1139925
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 27022147553591926, 'p': 2}
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id: 1139926
{'charpoly_factorization': [[[729, 0, -162, 243, -99, -81, 51, -27, -11, 9, -2, 0, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 3}
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id: 1139927
{'charpoly_factorization': [[[1, 1, 1], 6]], 'hecke_orbit_code': 27022147553591926, 'p': 5}
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id: 1139928
{'charpoly_factorization': [[[343, -98, 14, 19, 2, -2, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 7}
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id: 1139929
{'charpoly_factorization': [[[77841, 209250, 409050, 392412, 287776, 84963, 28304, 2466, 1494, 60, 53, -3, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 11}
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id: 1139930
{'charpoly_factorization': [[[15625, -15625, 33125, 6000, 21100, 1810, 6376, 1129, 1108, 24, 38, 2, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 13}
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id: 1139931
{'charpoly_factorization': [[[9801, 2079, 24597, -14232, 53521, -13267, 14341, 2813, 2311, 143, 52, -1, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 17}
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id: 1139932
{'charpoly_factorization': [[[5929, 38269, 251783, 8610, 128458, -17308, 63514, -8209, 3142, -240, 98, -8, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 19}
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id: 1139933
{'charpoly_factorization': [[[35390601, -15455502, 10669995, -3118506, 1578304, -410933, 138271, -23186, 5350, -647, 136, -11, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 23}
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id: 1139934
{'charpoly_factorization': [[[729, -1215, 3645, -54, 5139, -891, 3750, -177, 1507, -466, 141, -13, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 29}
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id: 1139935
{'charpoly_factorization': [[[34617, -810, -4658, -534, 100, 21, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 31}
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id: 1139936
{'charpoly_factorization': [[[313396209, -416746323, 362897766, -189779961, 73508290, -18589272, 3531623, -396447, 43926, -3342, 341, -18, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 37}
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id: 1139937
{'charpoly_factorization': [[[531441, -708588, 846369, -354294, 190269, -45198, 24327, -4518, 1654, -146, 57, -5, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 41}
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id: 1139938
{'charpoly_factorization': [[[3018293721, 1292494914, 596599791, 121406784, 35509333, 5838314, 1400971, 155366, 22888, 1556, 211, 11, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 43}
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id: 1139939
{'charpoly_factorization': [[[59373, -14418, -6621, 1227, 82, -23, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 47}
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id: 1139940
{'charpoly_factorization': [[[88209, -66825, 217242, 161865, 283698, 60804, 36555, -1071, 3040, -2, 63, -2, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 53}
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id: 1139941
{'charpoly_factorization': [[[-20547, 8811, 6546, -108, -173, 1, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 59}
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id: 1139942
{'charpoly_factorization': [[[95821, 152090, 35348, -484, -382, -1, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 61}
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id: 1139943
{'charpoly_factorization': [[[-83727, -84357, 21792, 369, -281, 2, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 67}
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id: 1139944
{'charpoly_factorization': [[[4887, 513, -1097, -222, 46, 15, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 71}
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id: 1139945
{'charpoly_factorization': [[[30614089, -33369523, 49973075, 8494446, 8982460, -417998, 431704, -61559, 23506, -3168, 392, -22, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 73}
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id: 1139946
{'charpoly_factorization': [[[1983, 5196, 4195, 1542, 289, 27, 1], 2]], 'hecke_orbit_code': 27022147553591926, 'p': 79}
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id: 1139947
{'charpoly_factorization': [[[265070961, -251883351, 189238923, -64617102, 19699038, -2575314, 618516, -47439, 17478, -252, 168, -6, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 83}
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id: 1139948
{'charpoly_factorization': [[[18815334561, 3580522407, 2308328118, 536450709, 234216028, 44007936, 8188745, 746079, 76398, 4458, 419, 18, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 89}
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id: 1139949
{'charpoly_factorization': [[[1888367924041, -85028699804, 66786650261, 124967952, 1577372065, 1800542, 17401894, 113420, 137905, 276, 440, 4, 1], 1]], 'hecke_orbit_code': 27022147553591926, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 7, 'label': '630.2.i.g', 'level': 630, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 184092000
{'hecke_orbit_code': 27022147553591926, 'n': 1, 'trace_an': 12}
-
id: 184092001
{'hecke_orbit_code': 27022147553591926, 'n': 2, 'trace_an': 12}
-
id: 184092002
{'hecke_orbit_code': 27022147553591926, 'n': 3, 'trace_an': 0}
-
id: 184092003
{'hecke_orbit_code': 27022147553591926, 'n': 4, 'trace_an': 12}
-
id: 184092004
{'hecke_orbit_code': 27022147553591926, 'n': 5, 'trace_an': -6}
-
id: 184092005
{'hecke_orbit_code': 27022147553591926, 'n': 6, 'trace_an': 0}
-
id: 184092006
{'hecke_orbit_code': 27022147553591926, 'n': 7, 'trace_an': 4}
-
id: 184092007
{'hecke_orbit_code': 27022147553591926, 'n': 8, 'trace_an': 12}
-
id: 184092008
{'hecke_orbit_code': 27022147553591926, 'n': 9, 'trace_an': 4}
-
id: 184092009
{'hecke_orbit_code': 27022147553591926, 'n': 10, 'trace_an': -6}
-
id: 184092010
{'hecke_orbit_code': 27022147553591926, 'n': 11, 'trace_an': 3}
-
id: 184092011
{'hecke_orbit_code': 27022147553591926, 'n': 12, 'trace_an': 0}
-
id: 184092012
{'hecke_orbit_code': 27022147553591926, 'n': 13, 'trace_an': -2}
-
id: 184092013
{'hecke_orbit_code': 27022147553591926, 'n': 14, 'trace_an': 4}
-
id: 184092014
{'hecke_orbit_code': 27022147553591926, 'n': 15, 'trace_an': 3}
-
id: 184092015
{'hecke_orbit_code': 27022147553591926, 'n': 16, 'trace_an': 12}
-
id: 184092016
{'hecke_orbit_code': 27022147553591926, 'n': 17, 'trace_an': 1}
-
id: 184092017
{'hecke_orbit_code': 27022147553591926, 'n': 18, 'trace_an': 4}
-
id: 184092018
{'hecke_orbit_code': 27022147553591926, 'n': 19, 'trace_an': 8}
-
id: 184092019
{'hecke_orbit_code': 27022147553591926, 'n': 20, 'trace_an': -6}
-
id: 184092020
{'hecke_orbit_code': 27022147553591926, 'n': 21, 'trace_an': 5}
-
id: 184092021
{'hecke_orbit_code': 27022147553591926, 'n': 22, 'trace_an': 3}
-
id: 184092022
{'hecke_orbit_code': 27022147553591926, 'n': 23, 'trace_an': 11}
-
id: 184092023
{'hecke_orbit_code': 27022147553591926, 'n': 24, 'trace_an': 0}
-
id: 184092024
{'hecke_orbit_code': 27022147553591926, 'n': 25, 'trace_an': -6}
-
id: 184092025
{'hecke_orbit_code': 27022147553591926, 'n': 26, 'trace_an': -2}
-
id: 184092026
{'hecke_orbit_code': 27022147553591926, 'n': 27, 'trace_an': -27}
-
id: 184092027
{'hecke_orbit_code': 27022147553591926, 'n': 28, 'trace_an': 4}
-
id: 184092028
{'hecke_orbit_code': 27022147553591926, 'n': 29, 'trace_an': 13}
-
id: 184092029
{'hecke_orbit_code': 27022147553591926, 'n': 30, 'trace_an': 3}
-
id: 184092030
{'hecke_orbit_code': 27022147553591926, 'n': 31, 'trace_an': -42}
-
id: 184092031
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