# Stored data for newform 144.6.a.j, downloaded from the LMFDB on 23 April 2024.
{"label": "144.6.a.j", "space_label": "144.6.a", "level": 144, "weight": 6, "hecke_orbit": 10, "hecke_orbit_code": 40532396746997904, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1637808191158970887, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-66, 1]]], "qexp_display": "q+66q^{5}-176q^{7}-60q^{11}-658q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5184, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 23.09527005306921, "hecke_ring_index": 1, "level_radical": 6, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [144, 1, [127, 37, 65], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.932", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.846", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1]], "trace_display": [0, 0, 66, -176], "traces": [0, 1, 0, 0, 0, 66, 0, -176, 0, 0, 0, -60, 0, -658, 0, 0, 0, 414, 0, -956, 0, 0, 0, 600, 0, 1231, 0, 0, 0, -5574, 0, 3592, 0, 0, 0, -11616, 0, -8458, 0, 0, 0, -19194, 0, -13316, 0, 0, 0, -19680, 0, 14169, 0, 0, 0, 31266, 0, -3960, 0, 0, 0, 26340, 0, -31090, 0, 0, 0, -43428, 0, 16804, 0, 0, 0, 6120, 0, -25558, 0, 0, 0, 10560, 0, -74408, 0, 0, 0, -6468, 0, 27324, 0, 0, 0, 32742, 0, 115808, 0, 0, 0, -63096, 0, 166082, 0, 0, 0, 22002, 0, 79264, 0, 0, 0, 227988, 0, -8530, 0, 0, 0, 195438, 0, 39600, 0, 0, 0, -72864, 0, -157451, 0, 0, 0, -125004, 0, -173000, 0, 0, 0, 151260, 0, 168256, 0, 0, 0, 128454, 0, -154196, 0, 0, 0, 39480, 0, -367884, 0, 0, 0, -29454, 0, 203872, 0, 0, 0, 237072, 0, 136142, 0, 0, 0, -105600, 0, 171124, 0, 0, 0, -676200, 0, 61671, 0, 0, 0, -133158, 0, -216656, 0, 0, 0, -693396, 0, 377174, 0, 0, 0, -558228, 0, -24840, 0, 0, 0, -265344, 0, 295298, 0, 0, 0, -201294, 0, -652448, 0, 0, 0, 981024, 0, -1266804, 0, 0, 0, 57360, 0, 1147060, 0, 0, 0, -878856, 0, -632192, 0, 0, 0, -272412, 0, -701960, 0, 0, 0, 1236108, 0, 105830, 0, 0, 0, 438678, 0, -1298880, 0, 0, 0, 28464, 0, 892562, 0, 0, 0, 935154, 0, 629048, 0, 0, 0, -110124, 0, -36000, 0, 0, 0, -140802, 0, 1488608, 0, 0, 0, -938760, 0, 2063556, 0, 0, 0, 1114506, 0, -567704, 0, 0, 0, -73860, 0, -1213258, 0, 0, 0, -687738, 0, 830908, 0, 0, 0, 3378144, 0, -1248461, 0, 0, 0, 1312626, 0, 1738440, 0, 0, 0, -394800, 0, 2343616, 0, 0, 0, -2051940, 0, -1690220, 0, 0, 0, -1502040, 0, 810842, 0, 0, 0, -903558, 0, 334440, 0, 0, 0, -395784, 0, -809998, 0, 0, 0, 3463680, 0, -1121972, 0, 0, 0, 1109064, 0, -2752174, 0, 0, 0, -215520, 0, 464288, 0, 0, 0, 1917492, 0, 1836590, 0, 0, 0, 622014, 0, 403920, 0, 0, 0, 3740616, 0, -1562163, 0, 0, 0, -1686828, 0, -16232, 0, 0, 0, -5502816, 0, 293606, 0, 0, 0, 3667692, 0, -3180116, 0, 0, 0, -2979840, 0, 696960, 0, 0, 0, -3459774, 0, 248400, 0, 0, 0, -4910928, 0, -3904162, 0, 0, 0, -5441154, 0, -2363536, 0, 0, 0, 507480, 0, 1969946, 0, 0, 0, -4635840, 0, -426888, 0, 0, 0, 139020, 0, 4327430, 0, 0, 0, 509634, 0, 5471840, 0, 0, 0, -2799360, 0, -5902414, 0, 0, 0, -573600, 0, 446512, 0, 0, 0, 3495252, 0, 2160972, 0, 0, 0, 1206126, 0, 1151640, 0, 0, 0, 7643328, 0, 233546, 0, 0, 0, 1744890, 0, 2917864, 0, 0, 0, -5310756, 0, -2957504, 0, 0, 0, 798960, 0, -1176836, 0, 0, 0, 2344656, 0, 5565364, 0, 0, 0, 10961412, 0, -9815312, 0, 0, 0, -5945196, 0, -2307636, 0, 0, 0, -1077120, 0, -6478316, 0, 0, 0, 4717944, 0, 1452132, 0, 0, 0, 1907706, 0, 4498208, 0, 0, 0, 5231424, 0, 1180800, 0, 0, 0, -8019738, 0, -1911620, 0, 0, 0, 1487088, 0, -6076343, 0, 0, 0, 12629652, 0, 15047208, 0, 0, 0, -850140, 0, -11990050, 0, 0, 0, -562980, 0, -4458092, 0, 0, 0, 5328744, 0, 13095808, 0, 0, 0, -9026118, 0, 8761928, 0, 0, 0, 6848988, 0, 12898908, 0, 0, 0, 5463222, 0, 10232380, 0, 0, 0, 738600, 0, 15943682, 0, 0, 0, 1138368, 0, -1875960, 0, 0, 0, -9477132, 0, -3433952, 0, 0, 0, -2453490, 0, -4809024, 0, 0, 0, -9299784, 0, -11461702, 0, 0, 0, -10391766, 0, -11278376, 0, 0, 0, 12949440, 0, 93782, 0, 0, 0, 14964150, 0, 5068876, 0, 0, 0, -5762592, 0, -12097139, 0, 0, 0, -3501612, 0, -15591872, 0, 0, 0, -11418000, 0, -9323202, 0, 0, 0, -10970130, 0, 2837044, 0, 0, 0, -6056856, 0, -1580400, 0, 0, 0, 1088922, 0, 9983160, 0, 0, 0, 7418028, 0, 767654, 0, 0, 0, 11104896, 0, -3344400, 0, 0, 0, 1865400, 0, 1422626, 0, 0, 0, 6162306, 0, -29230432, 0, 0, 0, 15062148, 0, 8477964, 0, 0, 0, -20573028, 0, 5876356, 0, 0, 0, -10176936, 0, -7946316, 0, 0, 0, -3600774, 0, 8085848, 0, 0, 0, -3872352, 0, 9225158, 0, 0, 0, 2155200, 0, 2605680, 0, 0, 0, -26392320, 0, -13950464, 0, 0, 0, -6861594, 0, 9794848, 0, 0, 0, -5512824, 0, 4075838, 0, 0, 0, -1008240, 0, 16570852, 0, 0, 0, 14414136, 0, -1943964, 0, 0, 0, -40125888, 0, -16794440, 0, 0, 0, 13455552, 0, 13294262, 0, 0, 0, 2147862, 0, 1501280, 0, 0, 0, -17331720, 0, -13105918, 0, 0, 0, 23715378, 0, 4421752, 0, 0, 0, 18349464, 0, -367200, 0, 0, 0, 8985372, 0, 8400484, 0, 0, 0, -34397088, 0, 20457220, 0, 0, 0, -5410230, 0, -8147520, 0, 0, 0, 1533480, 0, -6969600, 0, 0, 0, 26077734, 0, -19002116, 0, 0, 0, 11294184, 0, 12730096, 0, 0, 0, 31017282, 0, 15628960, 0, 0, 0, 15842052, 0, 2061758, 0, 0, 0, 5865966, 0, -44629200, 0, 0, 0, 30390024, 0, 10558327, 0, 0, 0, 4070286, 0, 27711376, 0, 0, 0, -5074800, 0, -29773786, 0, 0, 0, -8641002, 0, 33566284, 0, 0, 0, 39019104, 0, -8788428, 0, 0, 0, 4464480, 0, -11057032, 0, 0, 0, 22000704, 0, -18138178, 0, 0, 0, -30531186, 0, 43553284, 0, 0, 0, -13415160, 0, 30448000, 0, 0, 0, 18814080, 0, -45764136, 0, 0, 0, -20021808, 0, 12944124, 0, 0, 0, 24893484, 0, -3108164, 0, 0, 0, 1190352, 0, 388080, 0, 0, 0, -26621760, 0, 47199616, 0, 0, 0, -4026960, 0, -10411798, 0, 0, 0, -1335954, 0, -13545564, 0, 0, 0, -1639440, 0, 14723786, 0, 0, 0, 26919642, 0, -11516400, 0, 0, 0, -3731604, 0, 16817164, 0, 0, 0, -21873546, 0, -17512704, 0, 0, 0, -22607904, 0, -15726687, 0, 0, 0, 19489668, 0, -17602496, 0, 0, 0, 16731684, 0, 27138496, 0, 0, 0, -55538178, 0, -1964520, 0, 0, 0, -38678424, 0, -13285404, 0, 0, 0, -7989600, 0, -9584984, 0, 0, 0, -43061568, 0, -10365034, 0, 0, 0, -6948480, 0, 10904760, 0, 0, 0, -29890296, 0, -15326638, 0, 0, 0, 2400114, 0, 64747584, 0, 0, 0, 6185028, 0, -49247506, 0, 0, 0, -23627814, 0, 48960464, 0, 0, 0, 31599384, 0, 44534570, 0, 0, 0, -12871260, 0, -58310216, 0, 0, 0, 5183904, 0, 3785760, 0, 0, 0, 41260422, 0, -69004868, 0, 0, 0, 75705960, 0, -35881472, 0, 0, 0, -1073502, 0, -42406112, 0, 0, 0, -9964920, 0, 10636574, 0, 0, 0, 47144892, 0, -16391996, 0, 0, 0, 4255944, 0, -11808000, 0, 0, 0, -41724672, 0, 30311752, 0, 0, 0, -72877812, 0, -17593210, 0, 0, 0, 4900374, 0, -23960992, 0, 0, 0, 32915760, 0, -17979192, 0, 0, 0, -54190254, 0, -1320120, 0, 0, 0, -46329360, 0, 49039742, 0, 0, 0, -25181040, 0, -712508, 0, 0, 0, 8501400, 0, -73548694, 0, 0, 0, -4755840, 0, 81583128, 0, 0, 0, 6956856, 0, -30117824, 0, 0, 0, 6984780, 0, -30381136, 0, 0, 0, 12093696, 0, 36530498, 0, 0, 0, -21544236, 0, 29722040, 0, 0, 0, -15155628, 0, 28952748, 0, 0, 0, 119011200, 0, 10480948, 0, 0, 0, -24226080, 0, -13679280, 0, 0, 0, -71216310, 0, -10854096, 0, 0, 0, -46421316, 0, 106987356, 0, 0, 0, 15499254, 0, 1878624, 0, 0, 0, 511800, 0, 80400050, 0, 0, 0, 58909092, 0, 2533680, 0, 0, 0, 23435808, 0, 15166814, 0, 0, 0, -35567490, 0, 18759600, 0, 0, 0, 101093976, 0, 17442039, 0, 0, 0, 53886522, 0, 71197672, 0, 0, 0, 41517168, 0, 2354678, 0, 0, 0, -10581012, 0, -11726280, 0, 0, 0, 74223384, 0, -46040926, 0, 0, 0, 122037696, 0, -7268184, 0, 0, 0, -62451900, 0, -109281956, 0, 0, 0, -2376000, 0, -66382624, 0, 0, 0, -68944848, 0, -16064624, 0, 0, 0, 11026170, 0, -15583880, 0, 0, 0, 95301708, 0, -9292932, 0, 0, 0, -87798090, 0, 83244988, 0, 0, 0, 98248128, 0, 38354258, 0, 0, 0, -75785262, 0, 54179536, 0, 0, 0, 7896900, 0, 4371840, 0, 0, 0, -14477316, 0, -61958160, 0, 0, 0, -68570328, 0, -96508534, 0, 0, 0, 38488446, 0, -89079560, 0, 0, 0, 19110120, 0, -47831072, 0, 0, 0, 46700544, 0, -52155712, 0, 0, 0, -30804912, 0, 73557396, 0, 0, 0, -5850720, 0, -51972448, 0, 0, 0, -37468464, 0, 15804000, 0, 0, 0, 52890846, 0, 109696320, 0, 0, 0, 46727784, 0, 2193807, 0, 0, 0, 132937194, 0, 7500240, 0, 0, 0, 35427744, 0, 80891270, 0, 0, 0, -80075028, 0, 24433448, 0, 0, 0, -150016104, 0, 114830848, 0, 0, 0, 10380000, 0, -63682640, 0, 0, 0, -18654000, 0, -45390708, 0, 0, 0, 6919950, 0, -2677752, 0, 0, 0, 54839928, 0, 5612740, 0, 0, 0, -78978006, 0, 66683752, 0, 0, 0, -50614788, 0, 4946342, 0, 0, 0, -66766746, 0, 222957504, 0, 0, 0, -92859120, 0, -9075600, 0, 0, 0, -82398426, 0, -62179520, 0, 0, 0, -52396332, 0, -89568658, 0, 0, 0, -70690560, 0, -94457180, 0, 0, 0, -10095360, 0, 86633316, 0, 0, 0, -128598204, 0, -50557544, 0, 0, 0, 32424540, 0, -201882560, 0, 0, 0, -108395178, 0, -72794372, 0, 0, 0, -84509664, 0, -60806350, 0, 0, 0, -57180366, 0, -26056800, 0, 0, 0, 84863508, 0, 71134048, 0, 0, 0, 154678656, 0, -7707240, 0, 0, 0, -57666168, 0, 13555188, 0, 0, 0, 162342852, 0, 50895048, 0, 0, 0, 43822236, 0, -38271790, 0, 0, 0, 9251760, 0, -55033220, 0, 0, 0, -111554520, 0, -174276684, 0, 0, 0, 10082400, 0, -89499248, 0, 0, 0, 47944512, 0, 87949118, 0, 0, 0, -39559506, 0, -99134640, 0, 0, 0, 160722552, 0, 123544960, 0, 0, 0, 53515572, 0, 82349512, 0, 0, 0, 78933084, 0, 103602758, 0, 0, 0, 6183408, 0, 34183468, 0, 0, 0, -51019344, 0, -59634828, 0, 0, 0, -217555008, 0, 112626728, 0, 0, 0, 22073040, 0, 78276158, 0, 0, 0, 104437854, 0, -18626080, 0, 0, 0, 104077032, 0, -180401494, 0, 0, 0, 183988554, 0, -26121744, 0, 0, 0, -135176148, 0, -111151114, 0, 0, 0, 82252632, 0, 35388508, 0, 0, 0, -77207328, 0, 3672000, 0, 0, 0, 24678738, 0, 1767240, 0, 0, 0, 112307472, 0, 228602880, 0, 0, 0, 68757948, 0, 113834000, 0, 0, 0, -74050152, 0, -102038758, 0, 0, 0, -12232320, 0, 16592440, 0, 0, 0, 90300828, 0, 58884902, 0, 0, 0, -5009664, 0, 20685724, 0, 0, 0, -15334800, 0, 252553435, 0, 0, 0, -181643484, 0, -157090912, 0, 0, 0, -31301352, 0, -31358194, 0, 0, 0, -50403282, 0, 17135716, 0, 0, 0, -99529080, 0, -14224320, 0, 0, 0, 109142010, 0, -146819160, 0, 0, 0, 30643008, 0, 9108828, 0, 0, 0, -145435962, 0, 217276876, 0, 0, 0, -8168520, 0, -110712448, 0, 0, 0, 34810626, 0, 126554472, 0, 0, 0, 166453440, 0, 88169246, 0, 0, 0, 121214940, 0, -104448620, 0, 0, 0, 32815296, 0, -18036166, 0, 0, 0, 19381824, 0, 127777960, 0, 0, 0, 255587304, 0, 41052924, 0, 0, 0, 173295660, 0, 6336000, 0, 0, 0, 7533720, 0, 86618546, 0, 0, 0, -84522732, 0, -129914768, 0, 0, 0, -124533516, 0, -158124082, 0, 0, 0, -10267440, 0, 246880656, 0, 0, 0, 24781152, 0, 59282858, 0, 0, 0, -103102758, 0, 101460968, 0, 0, 0, -74600340, 0, -119841402, 0, 0, 0, -44644800, 0, 94387032, 0, 0, 0, 140748432, 0, -31461898, 0, 0, 0, 94613280, 0, -35859680, 0, 0, 0, -1071312, 0, 40572000, 0, 0, 0, 165221760, 0, -158774392, 0, 0, 0, -112601832, 0, 30307413, 0, 0, 0, -3531420, 0, -363185856, 0, 0, 0, -3700260, 0, -194050570, 0, 0, 0, 19377996, 0, -157434596, 0, 0, 0, 184801104, 0, -47957326, 0, 0, 0, 86917458, 0, -79612448, 0, 0, 0, -196153056, 0, 242067672, 0, 0, 0, 26687934, 0, -111675280, 0, 0, 0, -209887656, 0, 99915904, 0, 0, 0, -37892550, 0, 7989480, 0, 0, 0, 55124460, 0, -3880800, 0, 0, 0, -230903034, 0, -196669440, 0, 0, 0, -21033912, 0, 80911332, 0, 0, 0, 12999360, 0, 377737920, 0, 0, 0, -237963180, 0, -198699394, 0, 0, 0, 19380732, 0, 213533408, 0, 0, 0, -93665496, 0, -228345084, 0, 0, 0, 120638442, 0, 280168024, 0, 0, 0, 16394400, 0, -75776384, 0, 0, 0, -264447828, 0, -134147776, 0, 0, 0, 121041888, 0, 41603760, 0, 0, 0, -271671582, 0, -91596248, 0, 0, 0, 314239860, 0, -146239808, 0, 0, 0, -257674692, 0, -50615852, 0, 0, 0, -22630440, 0, 169836650, 0, 0, 0, 121845978, 0, -165519560, 0, 0, 0, -280374708, 0, -359116164, 0, 0, 0, -271959786, 0, -106271828, 0, 0, 0, -155993376, 0, 314137154, 0, 0, 0, 262058880, 0, 219729136, 0, 0, 0, -282596892, 0, 269653454, 0, 0, 0, -217956528, 0, 33493680, 0, 0, 0, 245242968, 0, -89581436, 0, 0, 0, 130016436, 0, 19645200, 0, 0, 0, -231022176, 0, 267256694, 0, 0, 0, -65184714, 0, -34112880, 0, 0, 0, 224602032, 0, -305965440, 0, 0, 0, -274803966, 0, 8154680, 0, 0, 0, -7962108, 0, 60359968, 0, 0, 0, 129917454, 0, 119094868, 0, 0, 0, -96145992, 0, -10248694, 0, 0, 0, 69484800, 0, 9175320, 0, 0, 0, -268974132, 0, 15920640, 0, 0, 0, 285610380, 0, -188674404, 0, 0, 0, 380189904, 0, 338688770, 0, 0, 0, 142460292, 0, -112599592, 0, 0, 0, -17717880, 0, -51751656, 0, 0, 0, 256543950, 0, 67703476, 0, 0, 0, 361141440, 0, -228632518, 0, 0, 0, 81075834, 0, 253261384, 0, 0, 0, -186838728, 0, 297478720, 0, 0, 0, 181632966, 0, -184757760, 0, 0, 0, -71622000, 0, -328443118, 0, 0, 0, -389559324, 0, 12077640, 0, 0, 0, 444939600, 0, -600119604, 0, 0, 0, 264359040, 0, -59611340, 0, 0, 0, -222783720, 0, -37857600, 0, 0, 0, 39146880, 0, -142708192, 0, 0, 0, 29469792, 0, 203731276, 0, 0, 0, 21983040, 0, -327209684, 0, 0, 0, 344787168, 0, 157957393, 0, 0, 0, 177756066, 0, 230686632, 0, 0, 0, 159026208, 0, 29330222, 0, 0, 0, 40305402, 0, 62621640, 0, 0, 0, 99649200, 0, -58861440, 0, 0, 0, -402617526, 0, -68534312, 0, 0, 0, -173703300, 0, 79604316, 0, 0, 0, 87617964, 0, 359802412, 0, 0, 0, 76008240, 0, 262959220, 0, 0, 0, 69657984, 0, -91804336, 0, 0, 0, -260819244, 0, 93198926, 0, 0, 0, 218038782, 0, 142559648, 0, 0, 0, -416338056, 0, -117341686, 0, 0, 0, 15414036, 0, -16163480, 0, 0, 0, 414750192, 0, 171839174, 0, 0, 0, 9740022, 0, 150523156, 0, 0, 0, -278845920, 0, 115162740, 0, 0, 0, -56169582, 0, 225865120, 0, 0, 0, 192579024, 0, 197467072, 0, 0, 0, -68823600, 0, 13201200, 0, 0, 0, 456254568, 0, 53179956, 0, 0, 0, -105100518, 0, -350509896, 0, 0, 0, -60300756, 0, 214202918, 0, 0, 0, -195195264, 0, 335148844, 0, 0, 0, 205006368, 0, -248180492, 0, 0, 0, -262532862, 0, 484382624, 0, 0, 0, -63837144, 0, 52731360, 0, 0, 0, 47558400, 0, 114689620, 0, 0, 0, 119503824, 0, 82573130, 0, 0, 0, 344564778, 0, -214957112, 0, 0, 0, 37931520, 0, -280015066, 0, 0, 0, -64262394, 0, 154747296, 0, 0, 0, -536671488, 0, -319853071, 0, 0, 0, 367314024, 0, 36052632, 0, 0, 0, 34643412, 0, 165388000, 0, 0, 0, 133340286, 0, -505569960, 0, 0, 0, 13732392, 0, 204446942, 0, 0, 0, -337478592, 0, 16344720, 0, 0, 0, -647810592, 0, -109198570, 0, 0, 0, 289362678, 0, -323239840, 0, 0, 0, 255576240, 0, -267273536, 0, 0, 0, 42117600, 0, -392382936, 0, 0, 0, -129080940, 0, 136792800, 0, 0, 0, -152303976, 0, -279872732, 0, 0, 0, -109474464, 0, -389435062, 0, 0, 0, -435560790, 0, -142128232, 0, 0, 0, 174596352, 0, -71089920, 0, 0, 0, -144604560, 0, -615314880, 0, 0, 0, -427568856, 0, -74166480, 0, 0, 0, 596741460, 0, 156936112, 0, 0, 0, -5118000, 0, -194306084, 0, 0, 0, -658348416, 0, 311384304, 0, 0, 0, -6349800, 0, 475554746, 0, 0, 0, 27084462, 0, 274940688, 0, 0, 0, 34835916, 0, -12193956, 0, 0, 0, -350743440, 0, 483381916, 0, 0, 0, 45054672, 0, 125908596, 0, 0, 0, 3584418, 0, -531304640, 0, 0, 0, 296881728, 0, -480935842, 0, 0, 0, 132451452, 0, -26320680, 0, 0, 0, 84403008, 0, 2856832, 0, 0, 0, -23233056, 0, 97573984, 0, 0, 0, 244960764, 0, -182503908, 0, 0, 0, 77932800, 0, 429310784, 0, 0, 0, 473633568, 0, 406618274, 0, 0, 0, 443007954, 0, 117262800, 0, 0, 0, -122802024, 0, -529302708, 0, 0, 0, -297322722, 0, -51674656, 0, 0, 0, -126166920, 0, -373236934, 0, 0, 0, -30900918, 0, 413994440, 0, 0, 0, -51762960, 0, -1707840, 0, 0, 0, -19103226, 0, 98147808, 0, 0, 0, -645513792, 0, 147411376, 0, 0, 0, -401038638, 0, -118841312, 0, 0, 0, -53553720, 0, 559700416, 0, 0, 0, -359587938, 0, -650502188, 0, 0, 0, -622609128, 0, 833557032, 0, 0, 0, 56362788, 0, -16848968, 0, 0, 0, 280653228, 0, -194291434, 0, 0, 0, 524451840, 0, 4410268, 0, 0, 0, -542804304, 0, 159539522, 0, 0, 0, -640721694, 0, -56109240, 0, 0, 0, 116268372, 0, 216169564, 0, 0, 0, -791343300, 0, 605144452, 0, 0, 0, -284134776, 0, -183521062, 0, 0, 0, -37742880, 0, -193659752, 0, 0, 0, 608920224, 0, -10500430, 0, 0, 0, 632961798, 0, -564867620, 0, 0, 0, -294234072, 0, -43718400, 0, 0, 0, -59527086, 0, -754765480, 0, 0, 0, -322535976, 0, -118691506, 0, 0, 0, 394865550, 0, 351697104, 0, 0, 0, 117609264, 0, 6607440, 0, 0, 0, 864323328, 0, 224410888, 0, 0, 0, 70845336, 0, -518371200, 0, 0, 0, 644836566, 0, 687132512, 0, 0, 0, -94470600, 0, -595723788, 0, 0, 0, 635837490, 0, 17110096, 0, 0, 0, 578287248, 0, 168228014, 0, 0, 0, -371278434, 0, 69505444, 0, 0, 0, 957643104, 0, 559367263, 0, 0, 0, -925741068, 0, 452033208, 0, 0, 0, 604745292, 0, 415982336, 0, 0, 0, 240584178, 0, 8448120, 0, 0, 0, 28158024, 0, -720944878, 0, 0, 0, -142904046, 0, -279946800, 0, 0, 0, -661129740, 0, 360572652, 0, 0, 0, -89316480, 0, 265467316, 0, 0, 0, 675337080, 0, 450993482, 0, 0, 0, 431408106, 0, -346710496, 0, 0, 0, 611851200, 0, -194901632, 0, 0, 0, 25531794, 0, -75002400, 0, 0, 0, 261454464, 0, -223762064, 0, 0, 0, 1052283012, 0, -198750992, 0, 0, 0, 373211460, 0, 56325600, 0, 0, 0, 189979902, 0, 461889680, 0, 0, 0, -673839624, 0, 75132288, 0, 0, 0, 85286058, 0, -117467280, 0, 0, 0, -123813360, 0, 870776246, 0, 0, 0, -103800000, 0, 629342864, 0, 0, 0, 112161072, 0, -122639148, 0, 0, 0, -24467520, 0, -625490712, 0, 0, 0, 274409268, 0, -55127412, 0, 0, 0, -226640832, 0, -761627680, 0, 0, 0, -813359064, 0, -214654678, 0, 0, 0, -609534582, 0, -66870360, 0, 0, 0, 369797916, 0, -161930340, 0, 0, 0, -395106714, 0, 812417740, 0, 0, 0, -89695584, 0, -69636140, 0, 0, 0, 34062240, 0, -130151752, 0, 0, 0, -441817536, 0, -440514210, 0, 0, 0, 490560252, 0, -613785744, 0, 0, 0, -120774984, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6.6.a.a", "char_is_minimal": false, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [0], [0], [0], [66], [0], [-176], [0], [0], [0], [-60], [0], [-658], [0], [0], [0], [414], [0], [-956], [0], [0], [0], [600], [0], [1231], [0], [0], [0], [-5574], [0], [3592], [0], [0], [0], [-11616], [0], [-8458], [0], [0], [0], [-19194], [0], [-13316], [0], [0], [0], [-19680], [0], [14169], [0], [0], [0], [31266], [0], [-3960], [0], [0], [0], [26340], [0], [-31090], [0], [0], [0], [-43428], [0], [16804], [0], [0], [0], [6120], [0], [-25558], [0], [0], [0], [10560], [0], [-74408], [0], [0], [0], [-6468], [0], [27324], [0], [0], [0], [32742], [0], [115808], [0], [0], [0], [-63096], [0], [166082], [0], [0], [0]]}