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mf_newforms • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 53, 'char_orbit_label': 'ca', 'char_order': 6, 'char_parity': 1, 'char_values': [1008, 6, [127, 757, 785, 577], [6, 6, 5, 5]], 'cm_discs': [], 'conrey_index': 257, 'dim': 16, 'field_disc': 5159480623799635869696, 'field_disc_factorization': [[2, 16], [3, 12], [384889, 2]], 'field_poly': [6561, -17496, 16767, -1944, -10611, 10260, -2601, -2640, 2785, -880, -289, 380, -131, -8, 23, -8, 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': [[5, [81, 1134, 16929, -11826, 32724, -19494, 42201, -25002, 22536, -5814, 3582, -450, 423, -24, 24, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9010772701086704, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 81, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 53, 'char_orbit_label': 'ca', 'char_order': 6, 'char_parity': 1, 'char_values': [1008, 6, [127, 757, 785, 577], [6, 6, 5, 5]], 'conrey_index': 257, 'cusp_dim': 360, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 3573446345712, 'hecke_orbit_dims': [2, 10, 16, 16, 48], 'label': '1008.2.ca', 'level': 1008, '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': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 408, 'mf_new_dim': 100, 'num_forms': 5, 'prim_orbit_index': 9, 'relative_dim': 46, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 3, -3, 1], 'traces': [92, 0, 3, 0, -3, 0, 1, 0, -1, 0, 3, 0, 0, 0, 7, 0, 0, 0, 6, 0, -1, 0, 3, 0, -37, 0, 0, 0, 6, 0, 0, 0, -3, 0, -15, 0, -2, 0, 10, 0, 0, 0, 8, 0, -15, 0, 6, 0, -1, 0, 9, 0, 0, 0, 0, 0, -2, 0, 6, 0, 0, 0, -40, 0, 0, 0, 2, 0, -9, 0, 0, 0, -6, 0, 57, 0, -27, 0, 2, 0, 15, 0, -30, 0, 3, 0, 3, 0, -12, 0, 12, 0, 19, 0, 0, 0, 0, 0, 43, 0, -3, 0, 3, 0, 33, 0, 0, 0, -2, 0, 30, 0, -42, 0, 3, 0, -3, 0, -51, 0, 27, 0, 62, 0, 30, 0, 20, 0, -3, 0, 3, 0, 6, 0, -37, 0, -3, 0, 0, 0, -11, 0, 33, 0, -21, 0, -46, 0, -3, 0, -1, 0, 36, 0, -54, 0, 0, 0, 57, 0, -21, 0, 2, 0, 6, 0, 90, 0, 20, 0, -63, 0, -102, 0, -23, 0, -45, 0, -96, 0, 0, 0, 21, 0, -6, 0, 0, 0, 35, 0, 0, 0, -2, 0, -24, 0, 0, 0, 6, 0, 9, 0, -51, 0, -6, 0, 83, 0, -33, 0, 2, 0, -54, 0, -15, 0, -9, 0, -5, 0, 0, 0, 0, 0, -22, 0, -51, 0, -3, 0, -19, 0, 24, 0, 12, 0, -33, 0, -66, 0, -39, 0, -27, 0, -15, 0, -30, 0, 17, 0, 168, 0, 14, 0, -177, 0, 45, 0, 50, 0, 8, 0, -147, 0, 15, 0, -48, 0, 0, 0, 6, 0, 45, 0, -102, 0, 1, 0, -111, 0, -6, 0, 0, 0, 0, 0, 66, 0, -16, 0, -3, 0, 24, 0, 12, 0, 21, 0, 6, 0, 1, 0, 21, 0, 18, 0, 0, 0, -21, 0, -126, 0, 0, 0, 109, 0, 0, 0, -26, 0, 36, 0, 0, 0, -45, 0, -111, 0, 57, 0, 74, 0, 17, 0, 144, 0, 10, 0, 12, 0, 0, 0, 88, 0, -55, 0, 0, 0, 36, 0, -28, 0, -3, 0, -12, 0, 32, 0, -84, 0, 8, 0, -120, 0, -93, 0, 3, 0, 9, 0, 111, 0, 1, 0, -210, 0, -72, 0, -64, 0, -24, 0, 3, 0, 6, 0, 62, 0, -51, 0, 51, 0, -79, 0, -126, 0, -6, 0, 131, 0, 93, 0, -27, 0, 99, 0, 117, 0, 0, 0, -111, 0, -81, 0, 33, 0, -50, 0, -102, 0, -2, 0, 231, 0, 66, 0, -69, 0, -123, 0, 228, 0, 0, 0, 27, 0, -6, 0, 0, 0, -9, 0, 0, 0, 18, 0, 39, 0, 0, 0, -27, 0, -3, 0, 156, 0, -26, 0, -160, 0, 0, 0, 2, 0, 150, 0, 0, 0, -35, 0, 3, 0, 0, 0, -87, 0, -74, 0, 111, 0, 36, 0, 63, 0, 135, 0, -28, 0, 0, 0, 126, 0, 48, 0, -18, 0, 102, 0, 41, 0, -20, 0, -252, 0, -42, 0, 294, 0, 69, 0, 21, 0, 82, 0, 297, 0, -66, 0, 29, 0, 0, 0, -84, 0, 234, 0, 3, 0, 27, 0, 243, 0, 42, 0, 0, 0, 9, 0, 51, 0, -14, 0, 128, 0, -45, 0, -52, 0, 9, 0, 120, 0, -41, 0, 70, 0, 0, 0, 0, 0, 28, 0, 330, 0, 0, 0, -163, 0, 0, 0, -22, 0, 93, 0, 0, 0, -42, 0, 165, 0, 117, 0, 142, 0, -42, 0, -156, 0, -21, 0, -6, 0, 96, 0, 15, 0, -47, 0, 0, 0, 36, 0, 87, 0, 30, 0, 3, 0, -140, 0, 129, 0, 22, 0, 60, 0, -66, 0, 3, 0, -3, 0, -174, 0, -16, 0, 373, 0, -168, 0, -196, 0, 30, 0, 72, 0, -75, 0, -56, 0, 33, 0, 126, 0, -41, 0, 126, 0, -6, 0, -273, 0, 93, 0, -21, 0, -48, 0, -72, 0, 0, 0, 165, 0, 108, 0, 73, 0, -83, 0, 180, 0, -26, 0, -339, 0, 258, 0, 3, 0, 145, 0, -426, 0, 0, 0, -21, 0, -84, 0, 0, 0, -55, 0, 0, 0, -36, 0, -228, 0, 0, 0, -12, 0, -156, 0, -249, 0, 22, 0, 237, 0, 60, 0, -87, 0, 204, 0, -60, 0, -33, 0, -65, 0, 0, 0, -126, 0, 20, 0, -174, 0, 69, 0, -149, 0, -138, 0, -40, 0, 33, 0, -36, 0, -3, 0, -102, 0, 72, 0, 53, 0, -76, 0, 342, 0, 40, 0, -384, 0, -123, 0, -67, 0, 89, 0, -345, 0, 0, 0, -37, 0, 0, 0, -105, 0, -91, 0, -162, 0, -58, 0, -288, 0, 42, 0, 0, 0, -111, 0, 78, 0, -3, 0, -219, 0, -120, 0, -87, 0, -147, 0, -174, 0, -39, 0, -15, 0, 96, 0, 0, 0, 54, 0, -354, 0, 0, 0, 136, 0, 0, 0, 38, 0, 0, 0, 0, 0, -6, 0, -177, 0, -72, 0, -18, 0, -106, 0, 180, 0, -12, 0, -63, 0, 174, 0, -72, 0, 127, 0, 0, 0, 0, 0, 50, 0, -3, 0, 3, 0, -103, 0, -102, 0, -24, 0, -78, 0, 66, 0, 81, 0, -126, 0, 366, 0, 25, 0, -460, 0, 96, 0, -64, 0, -48, 0, -111, 0, -20, 0, 151, 0, 15, 0, -15, 0, 14, 0, -303, 0, 66, 0, 374, 0, -108, 0, 29, 0, 51, 0, 114, 0, 0, 0, -222, 0, 105, 0, 44, 0, 134, 0, -174, 0, 37, 0, 363, 0, -246, 0, 189, 0, 131, 0, 483, 0, 0, 0, 179, 0, -6, 0, 0, 0, -101, 0, 0, 0, 24, 0, 273, 0, 0, 0, 6, 0, -210, 0, 339, 0, -22, 0, -317, 0, 96, 0, -46, 0, -159, 0, 144, 0, -42, 0, 134, 0, 0, 0, 33, 0, 186, 0, 255, 0, 48, 0, 167, 0, -237, 0, -34, 0, -81, 0, 75, 0, -3, 0, -168, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 42269281
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010772701086704, 'target_is_minimal': False, 'target_label': '1008.2.ca.c.257.1', 'target_level': 1008, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42269282
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 2609, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9010772701088720, 'target_is_minimal': False, 'target_label': '3024.2.ca.c.2609.6', 'target_level': 3024, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42269283
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 5, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 755947798654, 'target_is_minimal': True, 'target_label': '126.2.l.a.5.8', 'target_level': 126, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42269284
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 689, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9012903004865520, 'target_is_minimal': False, 'target_label': '1008.2.df.c.689.4', 'target_level': 1008, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42269285
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 929, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9012903004865520, 'target_is_minimal': False, 'target_label': '1008.2.df.c.929.4', 'target_level': 1008, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42269286
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 1601, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9012903004867536, 'target_is_minimal': False, 'target_label': '3024.2.df.c.1601.6', 'target_level': 3024, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42269287
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 341, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 755947798906, 'target_is_minimal': False, 'target_label': '378.2.l.a.341.3', 'target_level': 378, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42269288
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9012903004867536, 'target_is_minimal': False, 'target_label': '3024.2.df.c.17.6', 'target_level': 3024, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 42269289
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 59, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1305703612542, 'target_is_minimal': True, 'target_label': '126.2.t.a.59.3', 'target_level': 126, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42269290
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 815, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305703613298, 'target_is_minimal': False, 'target_label': '882.2.t.a.815.2', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42269291
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 293, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 824667276146, 'target_is_minimal': False, 'target_label': '882.2.m.a.293.8', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42269292
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 293, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504424294646642, 'target_is_minimal': False, 'target_label': '882.2.m.b.293.5', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42269293
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 509, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504355575169906, 'target_is_minimal': False, 'target_label': '882.2.l.b.509.5', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 42269294
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 89, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 1305703612794, 'target_is_minimal': False, 'target_label': '378.2.t.a.89.7', 'target_level': 378, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42269295
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 47, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1305703612542, 'target_is_minimal': True, 'target_label': '126.2.t.a.47.3', 'target_level': 126, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 42269296
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 971, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504286855693422, 'target_is_minimal': False, 'target_label': '1134.2.k.b.971.7', 'target_level': 1134, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 42269297
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 971, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322926, 'target_is_minimal': False, 'target_label': '1134.2.k.a.971.2', 'target_level': 1134, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 42269298
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 353, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010772701086704, 'target_is_minimal': False, 'target_label': '1008.2.ca.c.353.1', 'target_level': 1008, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 42269299
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 2033, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9010772701088720, 'target_is_minimal': False, 'target_label': '3024.2.ca.c.2033.6', 'target_level': 3024, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 42269300
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 2285, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504905330985558, 'target_is_minimal': False, 'target_label': '2646.2.t.b.2285.6', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42269301
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504424294648406, 'target_is_minimal': False, 'target_label': '2646.2.m.b.881.3', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42269302
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667277910, 'target_is_minimal': False, 'target_label': '2646.2.m.a.881.2', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 42269303
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 1305703612794, 'target_is_minimal': False, 'target_label': '378.2.t.a.17.7', 'target_level': 378, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
-
id: 42269304
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 1097, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947801174, 'target_is_minimal': False, 'target_label': '2646.2.l.a.1097.2', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
-
id: 42269305
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 227, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169906, 'target_is_minimal': False, 'target_label': '882.2.l.b.227.1', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 42269306
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504286855693422, 'target_is_minimal': False, 'target_label': '1134.2.k.b.647.7', 'target_level': 1134, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.31', 'twisting_conrey_index': 31, 'weight': 2}
-
id: 42269307
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 587, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504424294646642, 'target_is_minimal': False, 'target_label': '882.2.m.b.587.5', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 42269308
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322926, 'target_is_minimal': False, 'target_label': '1134.2.k.a.647.2', 'target_level': 1134, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.59', 'twisting_conrey_index': 59, 'weight': 2}
-
id: 42269309
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 1763, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667277910, 'target_is_minimal': False, 'target_label': '2646.2.m.a.1763.2', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.79', 'twisting_conrey_index': 79, 'weight': 2}
-
id: 42269310
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 803, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305703613298, 'target_is_minimal': False, 'target_label': '882.2.t.a.803.2', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.83', 'twisting_conrey_index': 83, 'weight': 2}
-
id: 42269311
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 143, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 755947798906, 'target_is_minimal': False, 'target_label': '378.2.l.a.143.7', 'target_level': 378, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.115', 'twisting_conrey_index': 115, 'weight': 2}
-
id: 42269312
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 755947801174, 'target_is_minimal': False, 'target_label': '2646.2.l.a.521.6', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.151', 'twisting_conrey_index': 151, 'weight': 2}
-
id: 42269313
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 1763, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504424294648406, 'target_is_minimal': False, 'target_label': '2646.2.m.b.1763.3', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.187', 'twisting_conrey_index': 187, 'weight': 2}
-
id: 42269314
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 587, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 824667276146, 'target_is_minimal': False, 'target_label': '882.2.m.a.587.8', 'target_level': 882, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.191', 'twisting_conrey_index': 191, 'weight': 2}
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id: 42269315
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 1979, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504905330985558, 'target_is_minimal': False, 'target_label': '2646.2.t.b.1979.6', 'target_level': 2646, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.223', 'twisting_conrey_index': 223, 'weight': 2}
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id: 42269316
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010772701086704, 'source_is_minimal': False, 'source_label': '1008.2.ca.c.257.1', 'source_level': 1008, 'target_conrey_index': 101, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 755947798654, 'target_is_minimal': True, 'target_label': '126.2.l.a.101.4', 'target_level': 126, 'twist_class_label': '126.2.l.a.5.8', 'twist_class_level': 126, 'twisting_char_label': '252.227', 'twisting_conrey_index': 227, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1592150
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9010772701086704, 'p': 2}
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id: 1592151
{'charpoly_factorization': [[[6561, 0, 0, 2916, 729, -486, 729, 270, -126, 90, 81, -18, 9, 12, 0, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 3}
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id: 1592152
{'charpoly_factorization': [[[81, 1134, 16929, -11826, 32724, -19494, 42201, -25002, 22536, -5814, 3582, -450, 423, -24, 24, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 5}
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id: 1592153
{'charpoly_factorization': [[[5764801, 1647086, 705894, -134456, 55223, 72030, 22687, 8036, -1350, 1148, 463, 210, 23, -8, 6, 2, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 7}
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id: 1592154
{'charpoly_factorization': [[[61732449, -105645222, 43505991, 28680318, -16460820, -5642460, 3600531, 868968, -395118, -92826, 30132, 7776, -1017, -360, 18, 12, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 11}
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id: 1592155
{'charpoly_factorization': [[[390971529, 543480678, 88818120, -226594584, -17730819, 46095318, 2433294, -6581682, 452916, 423144, -40167, -19584, 2682, 414, -57, -6, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 13}
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id: 1592156
{'charpoly_factorization': [[[56070144, 73322496, 91570176, 66023424, 53021952, 31774464, 19253376, 8227008, 3161232, 875952, 241380, 53892, 11493, 1794, 231, 18, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 17}
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id: 1592157
{'charpoly_factorization': [[[9199089, -6551280, -11629251, 9389520, 14697288, -6237810, -3302019, 1418796, 634680, -162594, -55782, 10116, 4167, 0, -72, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 19}
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id: 1592158
{'charpoly_factorization': [[[187388721, 48787596, -100363617, -27232524, 39946284, 10493226, -6579225, -1751058, 815022, 187596, -54108, -11340, 2763, 396, -54, -6, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 23}
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id: 1592159
{'charpoly_factorization': [[[1108809, 4264650, 2880279, -9950850, 3174066, 3639168, -1095687, -912708, 299376, 121986, -19278, -7938, 1197, 288, -36, -6, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 29}
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id: 1592160
{'charpoly_factorization': [[[65610000, 0, 157901400, 0, 125744481, 0, 42206670, 0, 6469713, 0, 444582, 0, 14238, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 31}
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id: 1592161
{'charpoly_factorization': [[[32746159681, -85008385594, 184692416508, -97465928012, 46677522614, -7527670110, 2287630168, -226939114, 74228751, -4587118, 1458136, -40410, 20726, -212, 180, 2, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 37}
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id: 1592162
{'charpoly_factorization': [[[81, -1620, 22518, -157140, 789021, -2008098, 3629772, -2659284, 1500462, -435366, 114903, -10656, 4086, -210, 105, 6, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 41}
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id: 1592163
{'charpoly_factorization': [[[2999643361, -3327326288, 7799247270, 4349128328, 5436205979, 541864944, 414160000, 31678138, 21475854, 1079260, 594199, 12744, 11744, 86, 135, -2, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 43}
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id: 1592164
{'charpoly_factorization': [[[766944, -832824, 290241, -19818, -8910, 1650, 3, -18, 1], 2]], 'hecke_orbit_code': 9010772701086704, 'p': 47}
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id: 1592165
{'charpoly_factorization': [[[36759242529, -192322120608, 216276115095, 623279673504, 467177028516, 151911504432, 18102553515, -1559379114, -432814590, 18378090, 9260244, 312498, -59697, -3240, 342, 36, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 53}
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id: 1592166
{'charpoly_factorization': [[[465300, 452880, 12501, -91044, -24165, -1254, 228, 30, 1], 2]], 'hecke_orbit_code': 9010772701086704, 'p': 59}
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id: 1592167
{'charpoly_factorization': [[[547560000, 0, 82792432800, 0, 57490686441, 0, 6740334162, 0, 325742625, 0, 7706430, 0, 91530, 0, 504, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 61}
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id: 1592168
{'charpoly_factorization': [[[51028, -97988, -96551, -13262, 5338, 970, -101, -14, 1], 2]], 'hecke_orbit_code': 9010772701086704, 'p': 67}
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id: 1592169
{'charpoly_factorization': [[[65610000, 0, 1520839800, 0, 5897814849, 0, 1363509936, 0, 118814850, 0, 4631418, 0, 77553, 0, 486, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 71}
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id: 1592170
{'charpoly_factorization': [[[71115489, 461301966, 804430197, -1251964674, 184027950, 381956796, 2268459, -52748334, 5074506, 2724732, -293184, -99126, 18909, 0, -150, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 73}
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id: 1592171
{'charpoly_factorization': [[[-985100, -1252640, -126107, 92278, 9004, -2306, -149, 16, 1], 2]], 'hecke_orbit_code': 9010772701086704, 'p': 79}
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id: 1592172
{'charpoly_factorization': [[[953512641, 3606173136, 10746004968, 10462495572, 8139710007, 2738647692, 898947882, -16891146, 59460768, -1501128, 1367865, -35334, 22680, -312, 177, 0, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 83}
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id: 1592173
{'charpoly_factorization': [[[131145120363321, 115458464232270, 66081140272737, 24192458322894, 6794512511634, 1393795430352, 232008422067, 29227238586, 3371130738, 313712028, 32872068, 2265570, 187029, 9180, 702, 24, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 89}
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id: 1592174
{'charpoly_factorization': [[[9120206721024, 42337728663552, 71879395230720, 29552832820224, 3933195148800, -297673761024, -99905635008, 1664083008, 1709674848, 28723248, -15309036, -354204, 102717, 2358, -381, -6, 1], 1]], 'hecke_orbit_code': 9010772701086704, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 53, 'hecke_orbit': 3, 'label': '1008.2.ca.c', 'level': 1008, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 32300029
{'hecke_orbit_code': 9010772701086704, 'n': 1, 'trace_an': 16}
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id: 32300030
{'hecke_orbit_code': 9010772701086704, 'n': 2, 'trace_an': 0}
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id: 32300031
{'hecke_orbit_code': 9010772701086704, 'n': 3, 'trace_an': 0}
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id: 32300032
{'hecke_orbit_code': 9010772701086704, 'n': 4, 'trace_an': 0}
-
id: 32300033
{'hecke_orbit_code': 9010772701086704, 'n': 5, 'trace_an': 0}
-
id: 32300034
{'hecke_orbit_code': 9010772701086704, 'n': 6, 'trace_an': 0}
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id: 32300035
{'hecke_orbit_code': 9010772701086704, 'n': 7, 'trace_an': -2}
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id: 32300036
{'hecke_orbit_code': 9010772701086704, 'n': 8, 'trace_an': 0}
-
id: 32300037
{'hecke_orbit_code': 9010772701086704, 'n': 9, 'trace_an': 0}
-
id: 32300038
{'hecke_orbit_code': 9010772701086704, 'n': 10, 'trace_an': 0}
-
id: 32300039
{'hecke_orbit_code': 9010772701086704, 'n': 11, 'trace_an': -12}
-
id: 32300040
{'hecke_orbit_code': 9010772701086704, 'n': 12, 'trace_an': 0}
-
id: 32300041
{'hecke_orbit_code': 9010772701086704, 'n': 13, 'trace_an': 6}
-
id: 32300042
{'hecke_orbit_code': 9010772701086704, 'n': 14, 'trace_an': 0}
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id: 32300043
{'hecke_orbit_code': 9010772701086704, 'n': 15, 'trace_an': 18}
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id: 32300044
{'hecke_orbit_code': 9010772701086704, 'n': 16, 'trace_an': 0}
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id: 32300045
{'hecke_orbit_code': 9010772701086704, 'n': 17, 'trace_an': -18}
-
id: 32300046
{'hecke_orbit_code': 9010772701086704, 'n': 18, 'trace_an': 0}
-
id: 32300047
{'hecke_orbit_code': 9010772701086704, 'n': 19, 'trace_an': 0}
-
id: 32300048
{'hecke_orbit_code': 9010772701086704, 'n': 20, 'trace_an': 0}
-
id: 32300049
{'hecke_orbit_code': 9010772701086704, 'n': 21, 'trace_an': -12}
-
id: 32300050
{'hecke_orbit_code': 9010772701086704, 'n': 22, 'trace_an': 0}
-
id: 32300051
{'hecke_orbit_code': 9010772701086704, 'n': 23, 'trace_an': 6}
-
id: 32300052
{'hecke_orbit_code': 9010772701086704, 'n': 24, 'trace_an': 0}
-
id: 32300053
{'hecke_orbit_code': 9010772701086704, 'n': 25, 'trace_an': -8}
-
id: 32300054
{'hecke_orbit_code': 9010772701086704, 'n': 26, 'trace_an': 0}
-
id: 32300055
{'hecke_orbit_code': 9010772701086704, 'n': 27, 'trace_an': -36}
-
id: 32300056
{'hecke_orbit_code': 9010772701086704, 'n': 28, 'trace_an': 0}
-
id: 32300057
{'hecke_orbit_code': 9010772701086704, 'n': 29, 'trace_an': 6}
-
id: 32300058
{'hecke_orbit_code': 9010772701086704, 'n': 30, 'trace_an': 0}
-
id: 32300059
{'hecke_orbit_code': 9010772701086704, 'n': 31, 'trace_an': 0}
-
id: 32300060
{'hecke_orbit_code': 9010772701086704, 'n': 32, 'trace_an': 0}
-
id: 32300061
{'hecke_orbit_code': 9010772701086704, 'n': 33, 'trace_an': 0}
-
id: 32300062
{'hecke_orbit_code': 9010772701086704, 'n': 34, 'trace_an': 0}
-
id: 32300063
{'hecke_orbit_code': 9010772701086704, 'n': 35, 'trace_an': -30}
-
id: 32300064
{'hecke_orbit_code': 9010772701086704, 'n': 36, 'trace_an': 0}
-
id: 32300065
{'hecke_orbit_code': 9010772701086704, 'n': 37, 'trace_an': -2}
-
id: 32300066
{'hecke_orbit_code': 9010772701086704, 'n': 38, 'trace_an': 0}
-
id: 32300067
{'hecke_orbit_code': 9010772701086704, 'n': 39, 'trace_an': 12}
-
id: 32300068
{'hecke_orbit_code': 9010772701086704, 'n': 40, 'trace_an': 0}
-
id: 32300069
{'hecke_orbit_code': 9010772701086704, 'n': 41, 'trace_an': -6}
-
id: 32300070
{'hecke_orbit_code': 9010772701086704, 'n': 42, 'trace_an': 0}
-
id: 32300071
{'hecke_orbit_code': 9010772701086704, 'n': 43, 'trace_an': 2}
-
id: 32300072
{'hecke_orbit_code': 9010772701086704, 'n': 44, 'trace_an': 0}
-
id: 32300073
{'hecke_orbit_code': 9010772701086704, 'n': 45, 'trace_an': -30}
-
id: 32300074
{'hecke_orbit_code': 9010772701086704, 'n': 46, 'trace_an': 0}
-
id: 32300075
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