# Stored data for newspace 72.8.d, downloaded from the LMFDB on 24 April 2024.
{"label": "72.8.d", "level": 72, "weight": 8, "char_conductor": 8, "char_degree": 1, "char_parity": 1, "sturm_bound": 96, "dim": 34, "eis_dim": 8, "eis_new_dim": 2, "cusp_dim": 80, "mf_dim": 88, "char_order": 2, "char_orbit_label": "d", "char_is_real": true, "trace_bound": 1, "num_forms": 4, "Nk2": 4608, "analytic_conductor": 22.491721834856765, "level_radical": 6, "mf_new_dim": 36, "char_values": [72, 2, [55, 37, 65], [2, 1, 2]], "hecke_orbit_dims": [2, 6, 12, 14], "trace_display": [8, 0, 0, -688], "traces": [34, 8, 0, 64, 0, 0, -688, -1084, 0, -4564, 0, 0, 0, -16684, 0, 12304, 1456, 0, 0, -60328, 0, -95188, 144712, 0, -476814, -108016, 0, 122456, 0, 0, 446768, 76888, 0, 26280, 0, 0, 0, -150308, 0, 769880, -79960, 0, 0, -178920, 0, -2502408, -510024, 0, 3805218, -175984, 0, -2774976, 0, 0, 920752, 825224, 0, -702676, 0, 0, 0, 1288636, 0, -8665040, 1103984, 0, 0, -2872200, 0, 4761112, 2424408, 0, 4623692, -1275400, 0, -2285256, 0, 0, 6990368, -1768704, 0, 273024, 0, 0, 0, 900764, 0, 7449584, 9783536, 0, 0, -11674080, 0, -22068984, 20789440, 0, 2997452, -38047296, 0, 47104992, 0, 0, 44622752, 36350800, 0, -21788428, 0, 0, 0, 47499504, 0, -44004064, -19982808, 0, 0, -33505320, 0, -50687308, -30612584, 0, -68677314, -51159720, 0, -8062744, 0, 0, -28869424, 99240016, 0, 94770384, 0, 0, 0, 95394684, 0, -24097944, -67970424, 0, 0, -169129168, 0, -60205656, -20312880, 0, 48596824, -137521104, 0, 133543728, 0, 0, -124841776, 230157536, 0, 190104640, 0, 0, 0, 278204300, 0, -113958448, 111001072, 0, 0, -313605480, 0, -133766692, 95692256, 0, -165174806, -491575960, 0, 286345464, 0, 0, 1387776, 465525600, 0, 397669800, 0, 0, 0, 594613616, 0, -175609392, -94604416, 0, 0, -591813120, 0, -404616192, -18701168, 0, -170369116, -698696104, 0, 591830256, 0, 0, 203345024, 947495108, 0, 140706068, 0, 0, 0, 922910172, 0, -568269120, -178773432, 0, 0, -1195894104, 0, -831540364, -87885856, 0, -121786832, -1541323808, 0, 1119509152, 0, 0, 287388944, 1782953296, 0, 659815872, 0, 0, 0, 2114829392, 0, -1750270984, 37199552, 0, 0, -2030162264, 0, -1392828888, 32862624, 0, 830740220, -2043976832, 0, 459475632, 0, 0, 109496208, 2035071352, 0, 1684644040, 0, 0, 0, 2297793284, 0, -1324112576, 409904376, 0, 0, -3099118464, 0, -718678252, 500026832, 0, 494274088, -3117451184, 0, 1282566648, 0, 0, -275260336, 2830346576, 0, 2454438816, 0, 0, 0, 3329005132, 0, -2242885232, 696938592, 0, 0, -3679697952, 0, -2879649168, -931857688, 0, 175235278, -4289443128, 0, 1866937328, 0, 0, -1712020160, 4465323040, 0, 1836841244, 0, 0, 0, 4494434196, 0, -1529837664, -479267232, 0, 0, -5203320000, 0, -3195646808, 1123728736, 0, 501775844, -4516831192, 0, 3673005608, 0, 0, 1902773392, 6092088928, 0, 3062247024, 0, 0, 0, 5493537836, 0, -3064260552, -128051664, 0, 0, -5147045384, 0, -3890535072, -1874913024, 0, -2232034084, -5214185496, 0, 2809687152, 0, 0, 1225962400, 5659728064, 0, 2122556612, 0, 0, 0, 7132608308, 0, -5080840192, -908531448, 0, 0, -5142737832, 0, 764188772, 1954855000, 0, 831187534, -5907873920, 0, 4385175840, 0, 0, 529958096, 4968983072, 0, 6135289056, 0, 0, 0, 5931498696, 0, -1011352368, -702808848, 0, 0, -6360073824, 0, -2841934416, -3201688368, 0, -1162671808, -6384709152, 0, 5455407296, 0, 0, -7787985840, 6449651988, 0, 3139563044, 0, 0, 0, 4953525500, 0, -3522041424, 2668005264, 0, 0, -5254275160, 0, -3720069512, 1419022320, 0, 994232444, -5028856328, 0, -879053272, 0, 0, -6445216976, 3546004384, 0, 3249480120, 0, 0, 0, 3815748380, 0, -2314603384, 675279424, 0, 0, -2826485208, 0, -420706464, -2214144120, 0, -406614028, -626406584, 0, 2273455392, 0, 0, 1141970096, -1618967616, 0, -3203930496, 0, 0, 0, -2693967068, 0, -464461216, -1647145776, 0, 0, 1832532600, 0, 1659124460, 7101024800, 0, -880182724, 1967645392, 0, -5151905568, 0, 0, 16930113824, -992266752, 0, -4378677192, 0, 0, 0, -3952084272, 0, 1768751072, -1358311320, 0, 0, 4626384000, 0, 455742240, -11184099304, 0, -1261554720, 7668115696, 0, -3195375600, 0, 0, 6948338912, -3785183040, 0, 2654421660, 0, 0, 0, -9071804560, 0, 14553879584, -5347572528, 0, 0, 10144829904, 0, -9193390708, 18705077592, 0, 1686373288, 9379890336, 0, -2904313576, 0, 0, 9470868592, -10335596512, 0, -16694816880, 0, 0, 0, -11575361728, 0, 7426431072, 3008313528, 0, 0, 19094885608, 0, 9640919088, -16514512888, 0, 5646769330, 15536173944, 0, -15009554592, 0, 0, -23172536576, -25513556640, 0, -11956617748, 0, 0, 0, -20915681724, 0, 4343862192, 8361714256, 0, 0, 19237159320, 0, 23149965180, 26453512608, 0, -2189585840, 21320140000, 0, -4111215720, 0, 0, 18305928720, -31325355648, 0, -17496609576, 0, 0, 0, -37687244068, 0, 3699929328, 4004993928, 0, 0, 30002166240, 0, 27848354520, -33932527928, 0, 6849953876, 31000266904, 0, -28528084064, 0, 0, -21983308880, -30929251800, 0, -14264090476, 0, 0, 0, -31627932160, 0, 27376267200, -2775297048, 0, 0, 30529209336, 0, 9984080928, 37080200056, 0, -18956889868, 43117485296, 0, -13090328680, 0, 0, 5710230416, -37621732768, 0, -20147255424, 0, 0, 0, -37636579812, 0, 23495552704, -18733518944, 0, 0, 50095456720, 0, 28038053664, -45393605320, 0, 17769346970, 42978875752, 0, -33168696432, 0, 0, -20094949696, -43545406120, 0, -18022759060, 0, 0, 0, -38189888880, 0, 29819463584, 7351143616, 0, 0, 50728462464, 0, 35892677928, 42658546056, 0, -11247324584, 57569693360, 0, 587552664, 0, 0, 40236252064, -37429770128, 0, -29214272208, 0, 0, 0, -50321019220, 0, 36441009776, -2627430752, 0, 0, 52250434080, 0, 19508682624, -69223869168, 0, -27628252876, 43349799992, 0, -32331709568, 0, 0, -42152478416, -58576475120, 0, -52925255840, 0, 0, 0, -48608872712, 0, 30772880160, -17525188848, 0, 0, 56707448136, 0, 8146782044, 91412300800, 0, -5064945792, 49913665592, 0, -62084807880, 0, 0, 51199349136, -50474596992, 0, 12382462176, 0, 0, 0, -52122773904, 0, 31596957960, 18051236624, 0, 0, 27697681288, 0, 38015880360, -104859069560, 0, -14223279440, 34511869344, 0, 9739777056, 0, 0, -69928675168, -30966899552, 0, 10520734168, 0, 0, 0, -40220700228, 0, 48996764064, 14996931720, 0, 0, 17617312128, 0, 7438284424, 122237307152, 0, 55560977752, 31192417960, 0, -25740081840, 0, 0, 52973071184, -17821523424, 0, -51685668144, 0, 0, 0, -19066532468, 0, -48122872416, 8395291384, 0, 0, 22088960256, 0, 19111299696, -144854663888, 0, 2794825988, 26078515200, 0, -5133008608, 0, 0, -132772953984, -27030613672, 0, 29453002892, 0, 0, 0, -2980661584, 0, -14850084720, 20559268928, 0, 0, 10169655112, 0, 75895560328, 175471617288, 0, 57865321440, 16733073592, 0, -842611288, 0, 0, 86361587184, -28794492776, 0, -39653889336, 0, 0, 0, -3033998384, 0, 31385952776, -7359792792, 0, 0, 4891187952, 0, -40141004208, -191544480736, 0, 27744109848, -20059980880, 0, -32871630000, 0, 0, -23517783568, 15105107736, 0, -5258823632, 0, 0, 0, 27308570096, 0, -92232947136, -22665413472, 0, 0, -15118124688, 0, -59567600116, 179164553672, 0, -58777135998, -49599860000, 0, -40100377800, 0, 0, 192088914096, 50005582080, 0, 42701443800, 0, 0, 0, 58580124960, 0, -516921952, -20858443224, 0, 0, -69250651104, 0, -5834987976, -203375025648, 0, 28829289832, -43659827816, 0, 102244341520, 0, 0, -104876915568, 66528748976, 0, -19371269568, 0, 0, 0, 48915485100, 0, -43438052864, -19419514696, 0, 0, -81221444608, 0, -119526220708, 247539638256, 0, -24352471472, -111647113976, 0, 82473307352, 0, 0, 85896616960, 86170169824, 0, -6892266360, 0, 0, 0, 108794494440, 0, -39040247208, 72382933360, 0, 0, -113702637928, 0, -45548341344, -277358640192, 0, -48505630472, -112456040624, 0, 15538338432, 0, 0, -205029637744, 147023568352, 0, 113650471508, 0, 0, 0, 82573477460, 0, -24249926128, -4619717648, 0, 0, -113319761640, 0, -39165570676, 368525374944, 0, -7246724668, -146553241008, 0, 189366417888, 0, 0, 168800348016, 155048126688, 0, 135063026328, 0, 0, 0, 167487083212, 0, -25984573296, -22405184328, 0, 0, -144019766976, 0, -191288065560, -373200094680, 0, -25083589614, -134610521504, 0, 31802442992, 0, 0, -178349320288, 168613208236, 0, 71990066536, 0, 0, 0, 174140847940, 0, -104883341760, 13370522416, 0, 0, -232450322376, 0, 75531885668, 375161166512, 0, 82367933704, -185032486104, 0, 40341979680, 0, 0, 244795144784, 158873032496, 0, 315495816144, 0, 0, 0, 190557246252, 0, -122857750832], "hecke_cutter_primes": [5], "level_primes": [2, 3], "relative_dim": 34, "hecke_orbit_code": 206292648008, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 4, "prim_orbit_index": 2, "conrey_index": 37, "newforms": ["72.8.d.a", "72.8.d.b", "72.8.d.c", "72.8.d.d"], "oldspaces": []}