# Stored data for newspace 405.4.r, downloaded from the LMFDB on 19 April 2024.
{"label": "405.4.r", "level": 405, "weight": 4, "char_conductor": 135, "char_degree": 12, "char_parity": 1, "sturm_bound": 216, "dim": 624, "eis_dim": 144, "eis_new_dim": 48, "cusp_dim": 1872, "mf_dim": 2016, "char_order": 36, "char_orbit_label": "r", "char_is_real": false, "Nk2": 6480, "analytic_conductor": 23.89577355232495, "level_radical": 15, "mf_new_dim": 672, "char_values": [405, 36, [326, 82], [2, 27]], "trace_display": [12, 0, 12, -12], "traces": [624, 12, 0, 0, 12, 0, -12, 18, 0, -6, 0, 0, -12, 0, 0, -24, 18, 0, 0, -756, 0, -12, 324, 0, 420, 0, 0, -24, 0, 0, -24, -1752, 0, 0, -2466, 0, -6, 132, 0, -396, -1680, 0, -12, 0, 0, -12, 3480, 0, 0, 684, 0, 84, 0, 0, -24, 4752, 0, -12, 0, 0, -132, 18, 0, 0, -2076, 0, 3660, -2676, 0, -12, 36, 0, -6, 0, 0, -792, 3324, 0, 0, 0, 0, -24, 2832, 0, -12, 12516, 0, -3036, 0, 0, -12, 1938, 0, 0, 4302, 0, 6900, 5832, 0, -6, -6456, 0, 6252, 0, 0, -24, 0, 0, 0, -12204, 0, 3828, 20580, 0, 4416, 29988, 0, -6, 0, 0, 1704, -14298, 0, 0, -7110, 0, -6, -45240, 0, -6720, -7512, 0, -9198, 0, 0, -48, -13224, 0, 0, -55452, 0, -5676, -10026, 0, -6, -29856, 0, 3060, 0, 0, 4944, 43362, 0, 0, 29916, 0, 6684, -12246, 0, -34080, 0, 0, -24, 0, 0, -11472, -7656, 0, 0, 40068, 0, -6, 45504, 0, 3012, 30984, 0, 36, 0, 0, -12, 24378, 0, 0, -5568, 0, -7998, 0, 0, -12024, 30744, 0, -12, 0, 0, 14232, -41130, 0, 0, -80118, 0, 4146, -58308, 0, -12, -46692, 0, 3066, 0, 0, -11472, 90144, 0, 0, 0, 0, -24, 6894, 0, 1506, 20616, 0, 14892, 0, 0, -12, 44220, 0, 0, 70296, 0, -4170, 27378, 0, -6, -18240, 0, -31500, 0, 0, 19524, 0, 0, 0, 7416, 0, 3870, 103812, 0, 13974, 15804, 0, -7134, 0, 0, -13320, -41028, 0, 0, -133974, 0, -6, -27372, 0, -39432, -92712, 0, 10584, 0, 0, -48, -108732, 0, 0, -43140, 0, -23016, -124092, 0, -6, -49008, 0, -9408, 0, 0, 32352, 13338, 0, 0, 95688, 0, 29466, -6276, 0, 53880, 0, 0, -24, 0, 0, 65532, 46608, 0, 0, 64530, 0, -6, 130326, 0, 18300, 120600, 0, -12, 0, 0, 28824, -39348, 0, 0, 22656, 0, -31122, 0, 0, -24, 94716, 0, -2316, 0, 0, -76920, 4050, 0, 0, -85956, 0, 15108, -117558, 0, -6012, 7380, 0, -6, 0, 0, 52680, 75576, 0, 0, 0, 0, 6120, 11472, 0, -762, -126444, 0, -504, 0, 0, 34644, 222996, 0, 0, 97260, 0, -29064, 394362, 0, -6, 52824, 0, -12108, 0, 0, -88152, 0, 0, 0, 33234, 0, -68268, 100524, 0, -3678, -17820, 0, -6, 0, 0, 31944, -365256, 0, 0, -300510, 0, -6, -146742, 0, 67158, -81312, 0, 42864, 0, 0, -86880, -93282, 0, 0, -156624, 0, 125220, -292302, 0, -6, -455544, 0, 22770, 0, 0, -15144, -49374, 0, 0, 213708, 0, -18372, 47970, 0, 47238, 0, 0, 44040, 0, 0, -132408, 111030, 0, 0, 613386, 0, 29472, 174564, 0, 1062, 365772, 0, -54246, 0, 0, -12, -213204, 0, 0, -27978, 0, 70620, 0, 0, 11976, 147252, 0, -12, 0, 0, 86808, 51498, 0, 0, -324942, 0, -139128, -223056, 0, -41166, 87588, 0, -6, 0, 0, -3480, 256002, 0, 0, 0, 0, -104352, -37068, 0, 10452, -298080, 0, 41346, 0, 0, -12, 428670, 0, 0, 404514, 0, 9498, 445014, 0, -6, 128700, 0, 187416, 0, 0, 39288, 0, 0, 0, 3948, 0, 103560, 296064, 0, 58782, -127620, 0, -6, 0, 0, -89988, -387294, 0, 0, -639432, 0, 41148, -331920, 0, -35436, -430368, 0, -164970, 0, 0, -48, -441576, 0, 0, -293760, 0, -104340, -788868, 0, 31746, -293868, 0, -138036, 0, 0, -184380, -167742, 0, 0, 448878, 0, -7734, 21876, 0, -122160, 0, 0, -6168, 0, 0, 84000, 156150, 0, 0, 576810, 0, -6, 399480, 0, -28308, 529428, 0, 113376, 0, 0, -12, -193248, 0, 0, -119214, 0, -6828, 0, 0, -24, 806352, 0, 159174, 0, 0, 77304, 160146, 0, 0, -253440, 0, 55176, -403206, 0, 196932, 144684, 0, -6, 0, 0, 54060, 405168, 0, 0, 0, 0, -24, 45426, 0, 31956, 92976, 0, -37008, 0, 0, -12, 821814, 0, 0, 232752, 0, 111774, 929574, 0, -12006, 276252, 0, -287400, 0, 0, -52524, 0, 0, 0, -62580, 0, -102492, 433872, 0, -142248, -430236, 0, -6, 0, 0, -88584, -718242, 0, 0, -538758, 0, -6, -494268, 0, -187326, -660240, 0, -95484, 0, 0, -16272, -505020, 0, 0, -635160, 0, -119286, -701010, 0, -6, -813060, 0, 230028, 0, 0, 25248, -264942, 0, 0, 363804, 0, -50658, -193278, 0, 233862, 0, 0, -82332, 0, 0, 4728, -50016, 0, 0, 822366, 0, 6138, 160080, 0, 180348, 970020, 0, 131580, 0, 0, -72588, 132492, 0, 0, 328080, 0, 25152, 0, 0, -24, 630504, 0, -90084, 0, 0, -289560, 416322, 0, 0, -193950, 0, 163026, -120948, 0, -128640, 182340, 0, 58950, 0, 0, -79944, 1177608, 0, 0, 0, 0, -24, 344496, 0, -447930, -72396, 0, -230256, 0, 0, 190176, 535884, 0, 0, 160716, 0, -114270, 449874, 0, 41142, -290232, 0, 38328, 0, 0, 129156, 0, 0, 0, -438780, 0, 57876, 677292, 0, 144216, -268956, 0, -115998, 0, 0, 405504, -709620, 0, 0, -1250100, 0, -162654, -526950, 0, 322680, -1247112, 0, 582072, 0, 0, -48, -1527882, 0, 0, -456120, 0, 284130, -1156248, 0, -150990, -665964, 0, 148488, 0, 0, 211116, -235386, 0, 0, 605250, 0, 407658, -550002, 0, 177324, 0, 0, -24, 0, 0, 37236, -446262, 0, 0, 631098, 0, 64470, 95436, 0, -247656, 519936, 0, -311916, 0, 0, 146112, 151716, 0, 0, 694350, 0, -518640, 0, 0, -24, 1335216, 0, -522144, 0, 0, 232392, 622098, 0, 0, -106188, 0, -203916, -1518, 0, -175272, 842220, 0, -6, 0, 0, 204852, 1115844, 0, 0, 0, 0, 383592, 595086, 0, 89730, 841140, 0, 359082, 0, 0, -12, 1234410, 0, 0, 188406, 0, -119784, 1198638, 0, 117450, -235128, 0, 232944, 0, 0, -305880, 0, 0, 0, -892824, 0, -57900, 521742, 0, 347532, -325044, 0, -6150, 0, 0, -192060, -1409688, 0, 0, -705690, 0, -6, -659286, 0, -291408, -962100, 0, -104556, 0, 0, -48, -1281276, 0, 0, -673026, 0, -54870, -661734, 0, -150990, -1421460, 0, -387246, 0, 0, -170232, -775710, 0, 0, 773472, 0, -235668, -1111014, 0, -796080, 0, 0, -24, 0, 0, 155304, -151356, 0, 0, 1645470, 0, -6, 588, 0, -423588, 1649580, 0, 374562, 0, 0, -12, 891090, 0, 0, 626994, 0, 209076, 0, 0, -68712], "level_primes": [3, 5], "relative_dim": 52, "hecke_orbit_code": 1168298213781, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 18, "prim_orbit_index": 17, "conrey_index": 8, "newforms": [], "oldspaces": [[135, 17, 2, 2]]}