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mf_newforms • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'cm_discs': [], 'conrey_index': 149, 'conrey_indexes': [149], 'dim': 4, 'field_disc': 2704, 'field_disc_factorization': [[2, 4], [13, 2]], 'field_poly': [9, 0, 7, 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': [[3, [1, 0, 11, 0, 1]], [7, [144, 0, 28, 0, 1]], [13, [9, 0, 7, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028865771996986, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': 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mf_hecke_nf • Show schema
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-24], [0, -24, -22, 0], [28, 0, 0, -22], [0, 8, -8, 0], [0, -8, 12, 0], [-43, 0, 0, -7], [32, 0, 0, -2], [18, 0, 0, -24], [0, 8, 42, 0], [0, -24, -42, 0], [16, 0, 0, 8], [0, 8, 40, 0], [-36, 0, 0, 0], [26, 0, 0, 0], [0, -30, -42, 0], [0, 0, 0, -6], [0, 9, 35, 0], [0, -8, -8, 0], [0, 6, 36, 0], [24, 0, 0, -38]], 'char_orbit_index': 2, 'field_poly': [9, 0, 7, 0, 1], 'hecke_orbit_code': 36028865771996986, 'hecke_ring_character_values': [[1777, [-1, 0, 0, 0]], [1001, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-4, 0, 0, 1], [0, -4, 3, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 4, 0, 1], [4, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1850.2.b.i', 'level': 1850, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'conrey_index': 149, 'cusp_dim': 274, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 68753033018, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6], 'label': '1850.2.b', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 298, 'mf_new_dim': 54, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 570, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, -54, 0, 4, 0, 0, -78, 0, 8, 0, 0, 0, 0, 54, 0, 0, 20, 0, 8, 0, 0, -4, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 78, 0, 0, 24, 0, 8, 0, 0, -8, 0, 24, 0, 0, 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472, 0, 0, -132, 0, 8, 0, 0, -424, 0, 108, 0, 0, 0, 0, -160, 0, 0, 8, 0, 492, 0, 0, -336, 0, 6, 0, 0, 216, 0, 128, 0, 0, -24, 0, 216, 0, 0, -244, 0, -72, 0, 0, -384, 0, 44, 0, 0, -1184, 0, -112, 0, 0, -36, 0, 248, 0, 0, -44, 0, -128, 0, 0, -320, 0, -104, 0, 0, 424, 0, -88, 0, 0, 8, 0, 276, 0, 0, 760, 0, -120, 0, 0, -412, 0, -200, 0, 0, 352, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 826445
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '74.2.a.a', 'target_level': 74, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826446
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '592.2.a.f', 'target_level': 592, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 826447
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '666.2.a.j', 'target_level': 666, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 826448
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1850.2.a.u', 'target_level': 1850, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826449
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1850.2.b.i', 'target_level': 1850, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826450
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1850.2.b.i', 'target_level': 1850, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 826451
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2368.2.a.s', 'target_level': 2368, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 826452
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2368.2.a.ba', 'target_level': 2368, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 826453
{'conductor': 185, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2738.2.a.l', 'target_level': 2738, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '185.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 826454
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3626.2.a.a', 'target_level': 3626, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 826455
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '5328.2.a.bf', 'target_level': 5328, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 826456
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1850.2.b.i', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '8954.2.a.p', 'target_level': 8954, 'twist_class_label': '74.2.a.a', 'twist_class_level': 74, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2253150
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 2}
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id: 2253151
{'charpoly_factorization': [[[1, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 3}
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id: 2253152
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028865771996986, 'p': 5}
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id: 2253153
{'charpoly_factorization': [[[144, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 7}
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id: 2253154
{'charpoly_factorization': [[[-3, 1, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 11}
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id: 2253155
{'charpoly_factorization': [[[9, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 13}
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id: 2253156
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 17}
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id: 2253157
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 36028865771996986, 'p': 19}
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id: 2253158
{'charpoly_factorization': [[[729, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 23}
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id: 2253159
{'charpoly_factorization': [[[-27, 3, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 29}
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id: 2253160
{'charpoly_factorization': [[[-1, -3, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 31}
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id: 2253161
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 37}
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id: 2253162
{'charpoly_factorization': [[[-9, -9, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 41}
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id: 2253163
{'charpoly_factorization': [[[16, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 43}
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id: 2253164
{'charpoly_factorization': [[[144, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 47}
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id: 2253165
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 53}
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id: 2253166
{'charpoly_factorization': [[[36, 14, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 59}
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id: 2253167
{'charpoly_factorization': [[[-79, 3, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 61}
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id: 2253168
{'charpoly_factorization': [[[2601, 0, 223, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 67}
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id: 2253169
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 36028865771996986, 'p': 71}
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id: 2253170
{'charpoly_factorization': [[[11449, 0, 227, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 73}
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id: 2253171
{'charpoly_factorization': [[[-147, -7, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 79}
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id: 2253172
{'charpoly_factorization': [[[2304, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 83}
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id: 2253173
{'charpoly_factorization': [[[-48, -4, 1], 2]], 'hecke_orbit_code': 36028865771996986, 'p': 89}
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id: 2253174
{'charpoly_factorization': [[[41616, 0, 424, 0, 1], 1]], 'hecke_orbit_code': 36028865771996986, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 9, 'label': '1850.2.b.i', 'level': 1850, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 201170000
{'hecke_orbit_code': 36028865771996986, 'n': 1, 'trace_an': 4}
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id: 201170001
{'hecke_orbit_code': 36028865771996986, 'n': 2, 'trace_an': 0}
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id: 201170002
{'hecke_orbit_code': 36028865771996986, 'n': 3, 'trace_an': 0}
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id: 201170003
{'hecke_orbit_code': 36028865771996986, 'n': 4, 'trace_an': -4}
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id: 201170004
{'hecke_orbit_code': 36028865771996986, 'n': 5, 'trace_an': 0}
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id: 201170005
{'hecke_orbit_code': 36028865771996986, 'n': 6, 'trace_an': -6}
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id: 201170006
{'hecke_orbit_code': 36028865771996986, 'n': 7, 'trace_an': 0}
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id: 201170007
{'hecke_orbit_code': 36028865771996986, 'n': 8, 'trace_an': 0}
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id: 201170008
{'hecke_orbit_code': 36028865771996986, 'n': 9, 'trace_an': -10}
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id: 201170009
{'hecke_orbit_code': 36028865771996986, 'n': 10, 'trace_an': 0}
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id: 201170010
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