# Stored data for newspace 15.6.a, downloaded from the LMFDB on 19 April 2024. {"label": "15.6.a", "level": 15, "weight": 6, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 12, "dim": 4, "eis_dim": 4, "eis_new_dim": 0, "cusp_dim": 8, "mf_dim": 12, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 2, "num_forms": 3, "Nk2": 540, "plus_dim": 1, "AL_dims": [[[[3, 1], [5, 1]], 1, 1], [[[3, 1], [5, -1]], 2, 1], [[[3, -1], [5, 1]], 1, 1]], "analytic_conductor": 2.4057572971947097, "level_radical": 15, "mf_new_dim": 4, "char_values": [15, 1, [11, 7], [1, 1]], "hecke_orbit_dims": [1, 1, 2], "trace_display": [4, -18, 0, -232], "traces": [4, 4, -18, 130, 0, 90, -232, -228, 324, -150, 832, -864, -784, -2868, -450, 2962, 2656, 324, 704, 3800, 2304, -6828, 264, 162, 2500, -2612, -1458, -724, -2032, -1800, 4256, -27052, -5472, 1020, 200, 10530, 15008, 56104, -10476, -6450, -18424, 27324, -48520, 12716, 0, 13776, -1160, -49680, 8964, 2500, 15372, 61136, 19744, 7290, -8400, -131100, 19224, -43452, 8176, -41850, -3736, -19704, -18792, 7018, 63400, 75564, -31864, 240728, 55512, -89100, -146032, -18468, 61784, -125548, -11250, 145856, 29856, -99216, 102800, 105200, 26244, -37224, 20952, 10188, 35400, -110408, -56412, -240468, -20136, -12150, -22544, -169632, -140688, -281976, 55600, 142794, 84776, 236084, 67392, 81250, 205392, 265752, -125080, 41124, -7200, 516876, -321240, -69984, 73064, -162700, -18396, 53948, -148208, -326016, -167400, 75112, -63504, 413556, 380112, 105300, -168716, -176816, 263052, -147928, 0, -232308, -307624, -123828, 44928, 207000, -137376, -80172, -457760, 187440, -36450, -1301964, 698064, 281232, 497696, -213100, 3816, 561288, -428960, 239922, 148200, 499456, -380610, 892136, -1079968, 56250, 100448, 1070328, 215136, 49344, 27200, -848268, -302416, -1285080, 48852, -139050, 340896, 26244, 1311608, 118852, 25200, -428256, 1669368, 1157220, 370140, -894400, 57024, -1253248, -888768, -131832, -145000, 1324220, -532944, -1620576, -340880, 307800, -233464, -1828584, 245700, -298080, 58200, -539352, 283104, -1639096, 186624, 687600, 481712, -31176, 691352, 3632840, -132300, 1096194, -79488, -553068, -792688, -142500, 49392, 1390452, 28080, -1498860, 79200, 2369852, 21384, 2009312, -2049536, 764100, -1239184, -1865152, 666864, -1022496, 391000, 13122, -1753664, 742784, 761292, 883500, -423728, 1946664, 113096, -433788, 202500, 8004, 1344968, -878184, -1987624, -754800, -244512, -290964, 1116480, -211572, -939000, -2127316, -1869120, -2717688, -1661216, -371250, 2988392, -2744956, -118098, 2947124, 1026400, 1015668, 1434208, 2548920, 1054080, -93750, -1594272, -58644, 400128, 3250060, -1300500, -789854, 2626800, -1748592, 2281072, 1395900, -164592, 404604, -1631512, 1952532, -1211400, -4852080, -428436, -1234072, -1184816, -145800, 741152, 1617320, -7488, -1865532, 520000, 2510784, -2661088, 4312976, 344736, -2422500, 3237240, 2491416, -667624, -2220200, -1139400, -2578536, 4410096, -2191212, 4902988, 383200, 1811772, 7511468, -53472, -4224294, -249600, -8258820, -443232, -4185108, -4879152, -540000, 1811776, -6216272, -713772, -5258464, 1104400, 82620, -2669560, 8209152, 1821168, 2225400, -6172848, 1470744, 1712408, 4592828, 16200, 6129320, -4017760, -3066048, 275808, 621000, 1645056, 5982336, 4591072, 852930, -490000, 2285600, 271044, -5922840, 2659872, 1111500, -6498352, -8681160, 1215648, 3707952, 151400, -761796, -4375048, 6862620, 1697580, 1976700, 1974912, 4544424, -3646160, 3555192, 59400, 4199244, 4664776, -1945908, 1007048, -1792500, -848556, -9000084, -4423104, -6937524, 1602000, 10772076, -2949696, 10125780, -2885184, -522450, 6783540, -9101104, -1154682, -8267048, 1411600, 3075876, 2138072, -8634816, -1492344, -5421600, -9318864, -409176, -2200240, -5893208, -281250, -5206776, 4569296, 2213244, 2314400, -612600, -811728, 7788792, -2444472, 4559922, 3794400, 9760784, -3930120, -928252, -1433664, 1205100, 4116336, 13077036, 3948480, -4019844, 2810000, 1029996, -4302400, -5419568, 4426560, 1851250, 3095544, -3348648, 2297728, 2198856, 0, -2807880, 7073696, 7593696, -4766104, -4441100, -6626340, -4699108, -15397920, 1115856, -6628200, 3799316, -942984, 4245264, 5401904, 1826100, -9431560, 6582416, -93960, 21124740, 1660000, -9583560, 8856976, -14114616, 1897056, 3825600, 3603216, -4024080, 11189528, -4582176, 533700, -8488444, -404640, 4726332, 5817680, -8255700, 726084, -21169728, 8431416, -6045732, 5691600, -10747492, 3190932, 16785596, -4156808, 202500, -4426368, 4062560, 465264, -21717048, -4506800, -12316752, -6970552, 8074056, 1245132, -6604800, 16463808, -274752, -7687000, 10337752, 2314800, -11183988, 91880, 4952016, -2861888, -5063800, 7270740, 32718252, -9764096, 4958280, 440000, 7502664, 1599264, 5738664, 13204800, 3768300, -5089424, -5891048, -2373408, -8407142, -3357600, 590490, -2232424, -20487984, -10257984, 11795850, -1094656, 583344, -6290736, 7692448, -680400, 12911816, 512256, 12552840, 470624, 2375000, -9331416, 7490988, -3376504, -10619100, -1961400, 11620032, 7061634, -9696772, -4407344, 1176300, 8866096, -3868028, 1557144, 32062644, -957000, 4619448, 14384448, -5421288, -2756700, 30600, -1586824, -3519612, 4552760, -7071036, 1440000, -6951360, -23929344, -14496444, -9690524, 10668200, 662256, -56750960, 729248, 10317564, -2487000, 12468576, -2020320, -19046796, -10200640, -3389850, 2993576, 25514272, -3202668, -30556668, -5996400, 14984568, 1889768, 20916720, -302616, -4267500, -7559968, -3395520, -640640, -9149244, -3440700, 25170584, -9132864, -1596024, 21283600, 6445700, 1850976, 5809440, 36465432, 14639256, 2971800, -17405712, -1522152, 25986264, 2214264, -10661400, -113008, 9948584, 8683488, 13783224, 165000, 568458, -15929464, -12230932, -4774500, 5643300, 11089536, -14672268, -5083872, -28180320, 5135400, 5120700, -22621560, -14964624, -14487680, 22730900, 9891828, 25342808, 16568240, 6120684, -2115600, -40920992, -701568, -30342432, 8852192, 101250, 5509832, 21255696, -2580984, 45989120, 120800, -4570776, 19618616, 16831640, -1149120, -12117900, -24890000, 19498968, 17796512, -31109576, -3143700, -20183040, 9344544, -16460532, -34340224, 11317400, 4496472, -38175528, 29853360, 4339620, 1562500, -31666000, 21308544, -61996960, 36539312, -7217100, -15806752, -31838280, -9056808, 2740284, 5223400, 20637684, 32624304, -11741032, -11828592, -21978450, 728616, 479736, -3739720, 19589952, 6274800, 47161152, -20850824, -1495908, -7789344, -1632500, 14554368, 68566424, -11672032, -184716, -6027600, -19082204, 5004504, 48095232, 20201680, -8808300, 1841288, 7885128, -34441272, -15691824, -26684000, -10169388, -15805680, 71198496, -6869376, 8724600, -2780480, 2696004, -7392136, 23868496, -911250, -17442738, -12812448, 2473920, -33309008, -11721600, -17708256, -15193728, 14496408, 11814336, 3060600, -10840680, 6810516, -9826432, -25871312, -3337200, 20464592, -10737840, 2418336, 51890760, 4460400, 10462176, 38222976, 8481808, -15528132, -452500, 43528304, -8036496, -18850400, 29620444, 8616600, -6274452, -31428624, 11336724, 36162104, 19712200, 8326800, -78809472, -22396992, 27758376, 10920000, -9960100, 29004624, -30670944, -6114048, 8521200, -14445344, 52018740, -15450372, -63005308, -1270000, 5992722, 17587064, -38623800, 2125764, -20181300, -49158416, -22918824, -2398720, -85102164, -1739250, 994656, -14177856, -3015144, 3840896, 16594900, -37803312, 7519416, -833240, -12189960, -1960200, 24522652, 1697112, 88195224, 28069632, -1125000, 34183712, 5410376, 36049104, 25660416, 16828000, 825228, -41701216, -20389280, 2882304, 47293200, 26943000, -54312948, -17348720, -44818664, 2867400, -8107320, 11300032, 30203424, -18263608, -5467200, 11765196, 10158860, -7090272, -8943048, 2660000, 83503416, -19129536, 39299196, 14259200, -5112000, -62659776, 67504416, -4569372, 26602578, -32501400, 15343236, 27249800, -62353008, 3428856, -9009000, 28530576, -19477908, 16766464, -40034156, 5238900, 18240128, 8593760, 45815760, -29359152, -16907500, -1631016, -107998896, -13781312, 7071120, 8335200, 68020752, 20150244, 39542652, 49115720, -984150, 40733168, 9308280, 31295808, -47045256, 19990200, -64789884, -17727776, -63631384, -1826064, -24297600, 11711760, 14383440, -72229048, 69908052, -3420000, -23280960, -36479384, -13740192, 80679080, -27468600, 19135908, -3667408, -41179360, -14062824, 12220200, -52132624, -11395728, -25822836, -19982560, 22369500, -62058212, -1603160, -14051124, 29195912, -24580800, -22840056, 20624504, -78361456, -34270416, 637500, 14880336, 8975592, 66541088, -25567416, 4503600, -499536, 11664160, 9461736, 26773760, -27274200, -38524032, 92627616, 71469320, 11566314, 21751800, 73094800, 16015914, -19044128, 54560640, 9623700, 15340912, 38738208, 6866856, -40267200, 125000, -45208296, 3859088, 38627680, 14623956, 24786300, -25810760, 19122804, 3383000, -17882104, 13730400, -47090472, -40347240, 62078400, -63770528, -37662900, 5458752, 54721676, -107576672, -8035488, 11124000, 34331460, -12470544, 22156512, 25140480, 6581250, -57926544, 29383112, -21007008, -36271284, -25762800, 65531520, -27546520, 38102176, 16636752, -32568600, -56882672, 14634936, 53908416, 31710712, -15241500, -111784036, 40525536, 21525912, 30923600, 7848000, -29065824, 78961308, 74950112, -73471104, 9380000, 17179572, -10131480, -1387620, 805304, -2111400, 69525312, 3292152, 159408, -46143936, 31721600, 3331044, -52158808, 5553552, 13634316, -14669400, 31359776, -9492480, 30702288, -18325636, -583200, 49318608, -31278936, -71210520, 1004608, 35065000, 70596, -90132840, -67686224, 41866956, -42860400, -102886744, -10848672, 50951400, -49109808, -6388650, -19376892, -103861504, -26020440, 131461556, 874800, -48978432, -76715464, -30336420, 14452272, 37406100, -46789824, -5668704, -60243680, 102870740, -6547500, 32682548, 91250176, -9744984, 14952384, 42432200, 5918184, 54138444, 107962824, 43095780, -46156200, -93629296, -24018336, 6775792, -46909152, -13178700, 89369888, -5879304, 66959064, 13217664, 26090800, 99255456, -21912976, -11522456, -1490076, -4031250], "hecke_cutter_primes": [2], "level_primes": [3, 5], "relative_dim": 4, "hecke_orbit_code": 100663311, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [1, 2, 1, 0], "newforms": ["15.6.a.a", "15.6.a.b", "15.6.a.c"], "oldspaces": [[3, 1, 1, 2], [5, 1, 1, 2]]}