# Stored data for newform 60.6.e.a, downloaded from the LMFDB on 23 April 2024. {"label": "60.6.e.a", "space_label": "60.6.e", "level": 60, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 274978570300, "dim": 40, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 12, "char_orbit_label": "e", "char_is_real": true, "Nk2": 2160, "analytic_conductor": 9.623029188778839, "level_radical": 30, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [60, 2, [31, 41, 37], [1, 1, 2]], "inner_twist_count": 4, "level_primes": [2, 3, 5], "conrey_indexes": [11], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 40, "sato_tate_group": "5.2.3.c2", "trace_display": [0, 0, 0, 0], "traces": [40, 0, 0, -10, 0, -114, 0, 0, 44, 50, 0, 1876, -232, 0, 0, -2734, 0, -3536, 0, 0, 820, 13684, 0, 9550, -25000, 0, 0, -23188, 0, -5800, 0, 0, -9424, 38972, 0, 53754, 2152, 0, 0, -10850, 0, -62868, 0, 0, 5900, 78748, 0, 100956, -52144, 0, 0, -82528, 0, -120862, 0, 0, -44424, 97476, 0, 3850, 2072, 0, 0, -91234, 0, -45784, 0, 0, 52764, -3300, 0, -10344, 264960, 0, 0, 73356, 0, 176440, 0, 0, -165120, -170920, 0, -250544, -132400, 0, 0, 359116, 0, 35550, 0, 0, 510368, -623100, 0, -379254, 453648, 0, 0, 6250, 0, 429776, 0, 0, -209500, -228444, 0, -481260, -813704, 0, 0, 526420, 0, 513284, 0, 0, 814784, -367356, 0, -120500, 1125464, 0, 0, -158780, 0, 268616, 0, 0, -1455924, -248800, 0, -341804, -1412192, 0, 0, 281188, 0, 221056, 0, 0, 1815868, 670048, 0, 319862, 99800, 0, 0, 739168, 0, 71250, 0, 0, -1877848, 452168, 0, 1079680, -1837272, 0, 0, 52050, 0, -1099504, 0, 0, 294600, 542964, 0, 819692, 2244680, 0, 0, -1174512, 0, -1655080, 0, 0, -2585112, 2446144, 0, 215600, -2347168, 0, 0, -68052, 0, -2580868, 0, 0, 3931804, 582100, 0, 2444004, 1918016, 0, 0, -5968894, 0, -410196, 0, 0, -2548004, 665804, 0, 1434316, -227400, 0, 0, 410352, 0, 295600, 0, 0, 287128, 5185884, 0, 1058874, 2657808, 0, 0, 1242900, 0, -1530040, 0, 0, -27500, -1677916, 0, -2269960, -1088, 0, 0, -4998580, 0, 994832, 0, 0, 4220168, -7233144, 0, -1158250, 4469032, 0, 0, 4657812, 0, -210504, 0, 0, 1042124, -31250, 0, -2011900, -6731392, 0, 0, 4127810, 0, 6451480, 0, 0, 126016, -7224308, 0, -2420920, -23200, 0, 0, 345536, 0, 2772400, 0, 0, -3514728, -7207364, 0, 38908, 1271672, 0, 0, 3415900, 0, 3503696, 0, 0, -91600, 11138368, 0, -10232072, 5808904, 0, 0, 7851412, 0, 3700834, 0, 0, 3741376, -13482692, 0, -1172500, -73480, 0, 0, -8954668, 0, -4463196, 0, 0, -9034012, -4649300, 0, 600352, -7026672, 0, 0, 1186828, 0, 10230368, 0, 0, 279524, 19261400, 0, 491414, 145000, 0, 0, 21081848, 0, 2739100, 0, 0, 3704896, -5965260, 0, 9908712, -3373776, 0, 0, -230900, 0, -8566432, 0, 0, 1327300, 296540, 0, -8720380, -2180528, 0, 0, -3524652, 0, -5586024, 0, 0, -15552520, 9597852, 0, -3851750, -18853656, 0, 0, 291360, 0, -15893620, 0, 0, -2592536, -7719200, 0, 15838168, 27817720, 0, 0, -42310588, 0, 11861620, 0, 0, -4970564, -612824, 0, 6975974, -1367200, 0, 0, 21151548, 0, 6020200, 0, 0, 24374400, 31285612, 0, 28441136, 6793528, 0, 0, 1708750, 0, -14843192, 0, 0, -3361600, 34297768, 0, -15133400, -38151032, 0, 0, -38978996, 0, -18389348, 0, 0, 9164408, -33148888, 0, -11669700, 34312376, 0, 0, -7087204, 0, -32180016, 0, 0, -2777648, -6157000, 0, 17082044, 16710096, 0, 0, -12346244, 0, 28663348, 0, 0, 32360900, 11642816, 0, 6169088, 1192400, 0, 0, 5997740, 0, 2210000, 0, 0, -30775504, -18763468, 0, 37335964, -44072080, 0, 0, 17200100, 0, -10782112, 0, 0, 2081400, 45204116, 0, -51804656, 23592024, 0, 0, 12570252, 0, 1000548, 0, 0, -3797048, -74148512, 0, -20195700, 2933808, 0, 0, -14221098, 0, -23206138, 0, 0, 38744484, -26279050, 0, 11589992, 2243024, 0, 0, -15735908, 0, 68619280, 0, 0, -36910836, 33233492, 0, -12258400, -4541000, 0, 0, 88070180, 0, 25362300, 0, 0, -13112632, -8885460, 0, 29121112, 34069408, 0, 0, 22006800, 0, -9651092, 0, 0, -512500, 27890428, 0, -96114788, 23785200, 0, 0, -17783272, 0, 15232976, 0, 0, 36327352, -75350908, 0, -29010050, -63238032, 0, 0, 27207612, 0, -54413776, 0, 0, -23407704, -8552500, 0, 14759960, -46323904, 0, 0, -73515044, 0, 96196848, 0, 0, -48226320, 17381944, 0, 10192932, 17889200, 0, 0, 106335920, 0, 36545000, 0, 0, 39138664, 33108128, 0, 80907146, 53270592, 0, 0, 40110900, 0, -41786196, 0, 0, 12724200, 81564932, 0, -109795076, -13028816, 0, 0, -43464432, 0, -2291896, 0, 0, -31187944, -123343728, 0, -5968750, -44094344, 0, 0, -14255828, 0, -109042760, 0, 0, -65532912, -41436900, 0, 44119328, -35532280, 0, 0, -124180232, 0, 104426156, 0, 0, 73061212, 55146176, 0, 50081248, 15625000, 0, 0, 110257320, 0, 53552300, 0, 0, 18759792, 35113028, 0, 123105332, -53944680, 0, 0, 56817550, 0, -78788816, 0, 0, -3847100, 146379160, 0, -127150352, 47924208, 0, 0, -93620184, 0, -46189420, 0, 0, -86864216, -133630104, 0, -55811000, 32685912, 0, 0, -35414156, 0, -158943248, 0, 0, 124127084, -51578200, 0, 106001828, 53283312, 0, 0, -177527998, 0, 156965552, 0, 0, 10739452, 72091128, 0, 49129732, -20928000, 0, 0, 124180432, 0, 66380500, 0, 0, -13975504, 56036372, 0, 167416808, -14491632, 0, 0, 14492500, 0, -121274376, 0, 0, -22097900, 201002260, 0, -169381404, -3825424, 0, 0, -108231264, 0, -52721504, 0, 0, 91760304, -235911944, 0, -73127400, 183432600, 0, 0, -61922316, 0, -214878946, 0, 0, -20637748, -67619300, 0, 92487192, -115379992, 0, 0, -170479644, 0, 235868888, 0, 0, -18233936, 144458584, 0, 21973844, -31242800, 0, 0, 263334552, 0, 3625000, 0, 0, -145847200, -32325856, 0, 232696352, 8445720, 0, 0, 98809900, 0, -73510620, 0, 0, 14642200, 170167404, 0, -265524772, 73630704, 0, 0, -55184676, 0, -1921400, 0, 0, 72026088, -237070772, 0, -110182800, -14545632, 0, 0, -59078298, 0, -224413448, 0, 0, -1894724, -138487500, 0, 96445604, 104536448, 0, 0, -272691980, 0, 375840504, 0, 0, -68848944, 78021072, 0, -33991144, -659400, 0, 0, 467137284, 0, 128536850, 0, 0, 119364640, 67222208, 0, 191950580, 12569776, 0, 0, 106939000, 0, -45169920, 0, 0, 5890000, 166165992, 0, -355503280, -317504200, 0, 0, -109690320, 0, -28241228, 0, 0, -109471424, -278755460, 0, -149802600, -50562760, 0, 0, 117650772, 0, -196938764, 0, 0, -128626716, -24357500, 0, 67079392, 127037832, 0, 0, -288487460, 0, 448108896, 0, 0, 133847528, 22174552, 0, -16676802, 8363600, 0, 0, 405324776, 0, 142856300, 0, 0, 16642296, -32201112, 0, 292306520, 31246184, 0, 0, 185586700, 0, -149274592, 0, 0, -52773600, 333029468, 0, -469464352, -75297944, 0, 0, -154925948, 0, -36132656, 0, 0, -16537576, -528752712, 0, -33596250, -56668864, 0, 0, -209884484, 0, -294708620, 0, 0, 35549808, -164186000, 0, 214316728, 12991520, 0, 0, -196936100, 0, 408560032, 0, 0, 43209844, 203963252, 0, 82045480, -1345000, 0, 0, 426381428, 0, 177473800, 0, 0, -10119608, -116576660, 0, 427898336, -67264752, 0, 0, 143804300, 0, -185238768, 0, 0, 21893700, 536511808, 0, -458721256, 132824624, 0, 0, -96240248, 0, -131945636, 0, 0, 37449440, -423622256, 0, -163673750, -102511192, 0, 0, -127394956, 0, -522804168, 0, 0, 12625568, -191462700, 0, 179463844, -176475680, 0, 0, -547486516, 0, 432953936, 0, 0, -54473864, 409473668, 0, 87540608, -49175200, 0, 0, 616309472, 0, 194768800, 0, 0, 5610256, 257504960, 0, 539431572, 367406264, 0, 0, 6781250], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], "char_orbit_index": 5, "prim_orbit_index": 2, "minimal_twist": "60.6.e.a", "char_is_minimal": true, "conrey_index": 11, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}