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mf_newforms • Show schema
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{'Nk2': 3645, 'analytic_conductor': 18.332037452750725, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, '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': [45, 2, [11, 37], [1, 1]], 'cm_discs': [], 'conrey_index': 44, 'dim': 16, 'field_disc': 604702354997978375469256097880716683614157348000120176640000, 'field_disc_factorization': [[2, 32], [5, 4], [7, 8], [23, 4], [53, 4], [2207, 2], [245513, 4]], 'field_poly': [296773539014178009, 0, 36624709707917870, 0, 1288318886608936, 0, 19474609444738, 0, 151540734566, 0, 654647506, 0, 1579736, 0, 1982, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 206309425197, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1715689749582113792397120000000000, 'hecke_ring_index_factorization': [[2, 15], [3, 42], [5, 10], [7, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.9.d.a', 'level': 45, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '45.9.d.a', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{1}q^{2}+(98-\\beta _{2})q^{4}+(3\\beta _{1}-\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '8.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45.9.d', 'trace_display': [0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 3645, 'analytic_conductor': 18.332037452750725, 'char_conductor': 15, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [45, 2, [11, 37], [1, 1]], 'conrey_index': 44, 'cusp_dim': 44, 'dim': 16, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 206309425197, 'hecke_orbit_dims': [16], 'label': '45.9.d', 'level': 45, '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': [3, 5], 'level_radical': 15, 'mf_dim': 52, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 16, 'sturm_bound': 54, 'trace_bound': 0, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 1572, 0, 0, 0, 0, 0, 16280, 0, 0, 0, 0, 0, -12844, 0, 0, 263600, 0, 0, 0, 0, 0, 1124860, 0, 0, 0, 0, 0, -4312984, 0, 0, 2439352, 0, 0, 0, 0, 0, 10217140, 0, 0, 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0, 0, 4340387877700], 'weight': 9, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 2266151
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 44, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 206309425197, 'target_is_minimal': True, 'target_label': '45.9.d.a.44.13', 'target_level': 45, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
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id: 2266152
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 44, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 206309425197, 'target_is_minimal': True, 'target_label': '45.9.d.a.44.4', 'target_level': 45, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 9}
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id: 2266153
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 26, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 18014536099430625, 'target_is_minimal': False, 'target_label': '225.9.c.e.26.13', 'target_level': 225, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 9}
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id: 2266154
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 26, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014536099430625, 'target_is_minimal': False, 'target_label': '225.9.c.e.26.4', 'target_level': 225, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 9}
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id: 2266155
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 44, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 206309425197, 'target_is_minimal': True, 'target_label': '45.9.d.a.44.3', 'target_level': 45, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 9}
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id: 2266156
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 26, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014536099430625, 'target_is_minimal': False, 'target_label': '225.9.c.e.26.3', 'target_level': 225, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 9}
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id: 2266157
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 26, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 18014536099430625, 'target_is_minimal': False, 'target_label': '225.9.c.e.26.14', 'target_level': 225, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 9}
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id: 2266158
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 44, 'source_dim': 16, 'source_embedding_index': 13, 'source_hecke_orbit_code': 206309425197, 'source_is_minimal': True, 'source_label': '45.9.d.a.44.13', 'source_level': 45, 'target_conrey_index': 44, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 206309425197, 'target_is_minimal': True, 'target_label': '45.9.d.a.44.14', 'target_level': 45, 'twist_class_label': '45.9.d.a.44.3', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 9}
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mf_hecke_charpolys • Show schema
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id: 151350
{'charpoly_factorization': [[[678272896, 0, -68641888, 0, 592494, 0, -1417, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 2}
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id: 151351
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 206309425197, 'p': 3}
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id: 151352
{'charpoly_factorization': [[[542101086242752217003726400434970855712890625, 0, -1998152754367765737697482109069824218750, 0, 1738360794261097908020019531250000, 0, 8676180684924125671386718750, 0, -42013856461828613281250, 0, 56860217736718750, 0, 74662027600, 0, -562430, 0, 1], 1]], 'hecke_orbit_code': 206309425197, 'p': 5}
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id: 151353
{'charpoly_factorization': [[[1162212779138321889192525696, 0, 847951350393676782456, 0, 222671864775276, 0, 24893946, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 7}
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id: 151354
{'charpoly_factorization': [[[8395400005023655299631360951296, 0, 6127117839282090676847688, 0, 148367448943588044, 0, 774461142, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 11}
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id: 151355
{'charpoly_factorization': [[[583140348042214581360158940797623776, 0, 5855603456450284630507461096, 0, 9636375920824498356, 0, 5426273646, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 13}
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id: 151356
{'charpoly_factorization': [[[440088010579384238160882077954827411456, 0, -759779920852189161313748090368, 0, 370134969338118483744, 0, -36453719602, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 17}
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id: 151357
{'charpoly_factorization': [[[-4631839397911616000, 1588421305307200, -20119921680, -65900, 1], 4]], 'hecke_orbit_code': 206309425197, 'p': 19}
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id: 151358
{'charpoly_factorization': [[[1305259454902182392300257600860155121596416, 0, -542254363145160456265041603854272, 0, 23529481557863441529264, 0, -279186258868, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 23}
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id: 151359
{'charpoly_factorization': [[[95583944108862830958330368318601802521172386816, 0, 877106261873040552955423394334709632, 0, 2533901575280220920487024, 0, 2774684944458, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 29}
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id: 151360
{'charpoly_factorization': [[[1057608980225287096274656, -2517906331633041464, -3019786035564, 1078246, 1], 4]], 'hecke_orbit_code': 206309425197, 'p': 31}
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id: 151361
{'charpoly_factorization': [[[59678421074692591789117922416278626895172549687296, 0, 96287220534548197965331521772544465784, 0, 54419142193778936281340556, 0, 12541902079194, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 37}
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id: 151362
{'charpoly_factorization': [[[4086647232031618083437477529624532501384650801739536, 0, 2638134197102427105908999513775589064352, 0, 546309199399570865535247704, 0, 42524730143208, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 41}
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id: 151363
{'charpoly_factorization': [[[3362050964196501390342971702205458830407492304896, 0, 55833498189002266362308975333982948864, 0, 68666558849002748987188416, 0, 20824583638824, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 43}
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id: 151364
{'charpoly_factorization': [[[36878485131032424251201941340883516902029567983616, 0, -15687116375531082249705892040505489129472, 0, 2244494329647649000128420864, 0, -86341416748768, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 47}
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id: 151365
{'charpoly_factorization': [[[3146101662938388963206762924327380541630586017227472896, 0, -461182509940701687403103929623917808320512, 0, 17221881565388492303439980544, 0, -228928350658258, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 53}
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id: 151366
{'charpoly_factorization': [[[609045431285643070380545568162220005218430001867059456, 0, 9126783497334193004807347720745172107751048, 0, 134966566548081650903252223564, 0, 648329042714022, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 59}
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id: 151367
{'charpoly_factorization': [[[15973325617917767429091528496, -1203430368818114539088, -434178049648656, -6524492, 1], 4]], 'hecke_orbit_code': 206309425197, 'p': 61}
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id: 151368
{'charpoly_factorization': [[[167520513889983019635114169032577969202204403049253553831936, 0, 1359011777944259940402297755207449618535153664, 0, 3476981774426787773090865156096, 0, 3247293657999744, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 67}
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id: 151369
{'charpoly_factorization': [[[135888654949246580018470160655696829421010545879936925696, 0, 214203061814439709408899185120356958948032512, 0, 1527394582981407581373162092544, 0, 2837934981796608, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 71}
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id: 151370
{'charpoly_factorization': [[[142559456515466102623112701526583340595081940165981321216, 0, 12243626701983302160388687030200537149849856, 0, 290548962236709816844439896416, 0, 2146273213134636, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 73}
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id: 151371
{'charpoly_factorization': [[[270592219009274867033491128736, -31961825728755049274504, -497679149235324, 65661466, 1], 4]], 'hecke_orbit_code': 206309425197, 'p': 79}
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id: 151372
{'charpoly_factorization': [[[262290278604800064229039695211789801315450498819082255466496, 0, -9212665415964916226959678295497396273138388992, 0, 22832545694192376812718501997824, 0, -9617289586655728, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 83}
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id: 151373
{'charpoly_factorization': [[[30644846902928754640191937883349892765549894453102977650823696, 0, 166719609548144433399348615238051145290131341088, 0, 162633567289057745060236471259544, 0, 24803629029169992, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 89}
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id: 151374
{'charpoly_factorization': [[[7505342644263892270238618084256150437797338759973029513456531456, 0, 4595570069026946896483024541635486312618591367424, 0, 769086563511387783296958911765856, 0, 47940627891430764, 0, 1], 2]], 'hecke_orbit_code': 206309425197, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '45.9.d.a', 'level': 45, 'portrait': 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'weight': 9}
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mf_hecke_traces • Show schema
Hide schema
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id: 7116222
{'hecke_orbit_code': 206309425197, 'n': 1, 'trace_an': 16}
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id: 7116223
{'hecke_orbit_code': 206309425197, 'n': 2, 'trace_an': 0}
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id: 7116224
{'hecke_orbit_code': 206309425197, 'n': 3, 'trace_an': 0}
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