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mf_newforms • Show schema
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{'Nk2': 13320, 'analytic_conductor': 26.590183873086367, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, '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': [3330, 2, [371, 667, 631], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 1999, 'conrey_indexes': [1999], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 0, 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': [[7, [4, 0, 20, 0, 1]], [11, [-24, 0, 1]], [17, [24, 0, 1]], [29, [0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043401720433922, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 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mf_hecke_cc • Show schema
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'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 1.224744871391589, 'embedding_root_real': -1.224744871391589, 'hecke_orbit': 13, 'hecke_orbit_code': 54043401720433922, 'label': '3330.2.d.m.1999.3', 'level': 3330, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 13320, 'analytic_conductor': 26.590183873086367, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3330, 2, [371, 667, 631], [2, 1, 2]], 'conrey_index': 1999, 'cusp_dim': 668, 'dim': 90, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 29], 'hecke_orbit_code': 206191987970, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 8, 10, 14, 14], 'label': '3330.2.d', 'level': 3330, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 37], 'level_radical': 1110, 'mf_dim': 700, 'mf_new_dim': 90, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 1368, 'trace_bound': 14, 'trace_display': [0, 0, -4, 0], 'traces': [90, 0, 0, -90, -4, 0, 0, 0, 0, 4, 16, 0, 0, 4, 0, 90, 0, 0, 12, 4, 0, 0, 0, 0, -8, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 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mf_twists_cc • Show schema
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id: 47570587
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043401720433922, 'source_is_minimal': False, 'source_label': '3330.2.d.m.1999.3', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043401720433922, 'target_is_minimal': False, 'target_label': '3330.2.d.m.1999.3', 'target_level': 3330, 'twist_class_label': '370.2.b.c.149.1', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47570588
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043401720433922, 'source_is_minimal': False, 'source_label': '3330.2.d.m.1999.3', 'source_level': 3330, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007772530, 'target_is_minimal': True, 'target_label': '370.2.b.c.149.1', 'target_level': 370, 'twist_class_label': '370.2.b.c.149.1', 'twist_class_level': 370, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47570589
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043401720433922, 'source_is_minimal': False, 'source_label': '3330.2.d.m.1999.3', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043401720433922, 'target_is_minimal': False, 'target_label': '3330.2.d.m.1999.2', 'target_level': 3330, 'twist_class_label': '370.2.b.c.149.1', 'twist_class_level': 370, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47570590
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043401720433922, 'source_is_minimal': False, 'source_label': '3330.2.d.m.1999.3', 'source_level': 3330, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208336698, 'target_is_minimal': False, 'target_label': '1850.2.a.v.1.1', 'target_level': 1850, 'twist_class_label': '370.2.b.c.149.1', 'twist_class_level': 370, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47570591
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043401720433922, 'source_is_minimal': False, 'source_label': '3330.2.d.m.1999.3', 'source_level': 3330, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326225210, 'target_is_minimal': False, 'target_label': '1850.2.a.s.1.2', 'target_level': 1850, 'twist_class_label': '370.2.b.c.149.1', 'twist_class_level': 370, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47570592
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043401720433922, 'source_is_minimal': False, 'source_label': '3330.2.d.m.1999.3', 'source_level': 3330, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268007772530, 'target_is_minimal': True, 'target_label': '370.2.b.c.149.4', 'target_level': 370, 'twist_class_label': '370.2.b.c.149.1', 'twist_class_level': 370, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3126175
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 2}
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id: 3126176
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043401720433922, 'p': 3}
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id: 3126177
{'charpoly_factorization': [[[5, -4, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 5}
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id: 3126178
{'charpoly_factorization': [[[4, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 54043401720433922, 'p': 7}
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id: 3126179
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 11}
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id: 3126180
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 13}
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id: 3126181
{'charpoly_factorization': [[[24, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 17}
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id: 3126182
{'charpoly_factorization': [[[30, 12, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 19}
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id: 3126183
{'charpoly_factorization': [[[64, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 54043401720433922, 'p': 23}
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id: 3126184
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043401720433922, 'p': 29}
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id: 3126185
{'charpoly_factorization': [[[10, 8, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 31}
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id: 3126186
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 37}
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id: 3126187
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 54043401720433922, 'p': 41}
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id: 3126188
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 43}
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id: 3126189
{'charpoly_factorization': [[[4, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 54043401720433922, 'p': 47}
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id: 3126190
{'charpoly_factorization': [[[8464, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 54043401720433922, 'p': 53}
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id: 3126191
{'charpoly_factorization': [[[30, 12, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 59}
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id: 3126192
{'charpoly_factorization': [[[-12, 1], 4]], 'hecke_orbit_code': 54043401720433922, 'p': 61}
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id: 3126193
{'charpoly_factorization': [[[3364, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 54043401720433922, 'p': 67}
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id: 3126194
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 71}
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id: 3126195
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 73}
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id: 3126196
{'charpoly_factorization': [[[10, 8, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 79}
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id: 3126197
{'charpoly_factorization': [[[19044, 0, 300, 0, 1], 1]], 'hecke_orbit_code': 54043401720433922, 'p': 83}
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id: 3126198
{'charpoly_factorization': [[[-60, -12, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 89}
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id: 3126199
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 54043401720433922, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 13, 'label': '3330.2.d.m', 'level': 3330, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 225291000
{'hecke_orbit_code': 54043401720433922, 'n': 1, 'trace_an': 4}
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id: 225291001
{'hecke_orbit_code': 54043401720433922, 'n': 2, 'trace_an': 0}
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id: 225291002
{'hecke_orbit_code': 54043401720433922, 'n': 3, 'trace_an': 0}
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id: 225291003
{'hecke_orbit_code': 54043401720433922, 'n': 4, 'trace_an': -4}
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id: 225291004
{'hecke_orbit_code': 54043401720433922, 'n': 5, 'trace_an': 8}
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id: 225291005
{'hecke_orbit_code': 54043401720433922, 'n': 6, 'trace_an': 0}
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id: 225291006
{'hecke_orbit_code': 54043401720433922, 'n': 7, 'trace_an': 0}
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id: 225291007
{'hecke_orbit_code': 54043401720433922, 'n': 8, 'trace_an': 0}
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id: 225291008
{'hecke_orbit_code': 54043401720433922, 'n': 9, 'trace_an': 0}
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id: 225291009
{'hecke_orbit_code': 54043401720433922, 'n': 10, 'trace_an': -4}
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id: 225291994
{'hecke_orbit_code': 54043401720433922, 'n': 995, 'trace_an': -32}
-
id: 225291995
{'hecke_orbit_code': 54043401720433922, 'n': 996, 'trace_an': 0}
-
id: 225291996
{'hecke_orbit_code': 54043401720433922, 'n': 997, 'trace_an': 0}
-
id: 225291997
{'hecke_orbit_code': 54043401720433922, 'n': 998, 'trace_an': 0}
-
id: 225291998
{'hecke_orbit_code': 54043401720433922, 'n': 999, 'trace_an': 0}
-
id: 225291999
{'hecke_orbit_code': 54043401720433922, 'n': 1000, 'trace_an': 44}