{'Lhash': '467614628641945747492434351825,602256352567710615046943487946,709966392919182793902526400140,749769311870723943716876902109,1023163320683722842922011935697,1247214069959446478490004831144,1456337760114903901589269893749,2015954079297239518671855863184', 'a10': 0, 'a2': -2, 'a3': -8, 'a4': 0, 'a5': 0, 'a6': 16, 'a7': 2, 'a8': 3, 'a9': 36, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8277342893.072127, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 8, 28, 56, 70, 56, 28, 8, 1]], [5, [1]], [29, [1, -8, 28, -56, 70, -56, 28, -8, 1]]], 'bad_primes': [3, 5, 29], 'central_character': '2175.1', 'coefficient_field': '1.1.1.1', 'conductor': 500811266393603668212890625, 'conductor_radical': 435, 'degree': 16, 'euler_factors': [[1, 2, 4, 5, 4, 0, 1, -2, 6, -4, 4, 0, 64, 160, 256, 256, 256], [1, 8, 28, 56, 70, 56, 28, 8, 1], [1], [1, -2, 11, -54, 149, -248, 1381, -2678, 4659, -18746, 67669, -85064, 357749, -907578, 1294139, -1647086, 5764801], [1, -6, 52, -224, 1277, -4538, 20835, -64084, 257338, -704924, 2521035, -6040078, 18696557, -36075424, 92121172, -116923026, 214358881], [1, -6, 43, -136, 837, -2474, 15019, -42580, 228905, -553540, 2538211, -5435378, 23905557, -50495848, 207552787, -376491102, 815730721], [1, 12, 126, 832, 5153, 25034, 123885, 523636, 2323644, 8901812, 35802765, 122992042, 430383713, 1181321024, 3041333694, 4924064076, 6975757441], [1, 0, 53, -64, 2034, -3912, 49091, -125480, 1069082, -2384120, 17721851, -26832408, 265072914, -158470336, 2493431693, 0, 16983563041], [1, 14, 170, 1454, 11888, 78870, 496918, 2681430, 13842846, 61672890, 262869622, 959611290, 3326749808, 9358442722, 25166101130, 47667556258, 78310985281], [1, -8, 28, -56, 70, -56, 28, -8, 1], [1, -8, 69, -640, 5258, -32016, 234283, -1390520, 7909578, -43106120, 225145963, -953788656, 4855873418, -18322656640, 61237753989, -220100912888, 852891037441], [1, -4, -12, 172, 2372, -1692, -45204, -18636, 6125910, -689532, -61884276, -85704876, 4445509892, 11927160604, -30788716908, -379727508532, 3512479453921], [1, -2, 191, -282, 16837, -9752, 959494, 192572, 42746654, 7895452, 1612909414, -672117592, 47577337957, -32671448682, 907269910031, -389508547762, 7984925229121], [1, -2, 149, 72, 10982, 34540, 531475, 3068794, 22437618, 131958142, 982697275, 2746171780, 37545272582, 10584607896, 941883094301, -543637222214, 11688200277601], [1, 12, 188, 1860, 20683, 166890, 1504675, 10715322, 81730838, 503620134, 3323827075, 17327020470, 100926442123, 426581713020, 2026492481852, 6079477445556, 23811286661761], [1, 4, 214, 704, 19568, 29592, 1102106, -1013740, 54838974, -53728220, 3095815754, 4405568184, 154400932208, 294409627072, 4743173281606, 4698844559348, 62259690411361], [1, -18, 326, -4506, 51520, -557562, 5314762, -46070178, 378142430, -2718140502, 18500686522, -114511525998, 624286438720, -3221448891294, 13750853966966, -44795726726742, 146830437604321], [1, -12, 277, -3136, 39870, -406200, 3782003, -34750508, 263133730, -2119780988, 14072833163, -92199682200, 552033680670, -2648653999936, 14271143697997, -37712914032252, 191707312997281], [1, -26, 451, -6050, 75913, -854712, 8812957, -80168870, 682181179, -5371314290, 39561363973, -257065745256, 1529732048473, -8168256897350, 40796730358219, -157578501738398, 406067677556641], [1, -24, 686, -11044, 184584, -2232828, 27109682, -257392272, 2428813230, -18274851312, 136659906962, -799153702308, 4690589725704, -19925908952444, 87876794769806, -218282883801384, 645753531245761], [1, 14, 300, 3234, 50772, 457014, 5630548, 44555258, 477196566, 3252533834, 30005190292, 177786215238, 1441835492052, 6704313531762, 45400267886700, 154663579267358, 806460091894081], [1, -10, 400, -4042, 84364, -769890, 11509232, -91087970, 1083990374, -7195949630, 71829116912, -379585795710, 3285984633484, -12437461964758, 97234982208400, -192039089861590, 1517108809906561], [1, 40, 916, 15056, 213012, 2711520, 31421068, 325262680, 3089294838, 26996802440, 216459737452, 1550411886240, 10109191872852, 59306195921008, 299477382006004, 1085442039585080, 2252292232139041], [1, -34, 794, -14230, 218299, -2889828, 34814851, -375825900, 3720460370, -33448505100, 275768434771, -2037239155332, 13696568468059, -79461165959270, 394603145023034, -1503865386447986, 3936588805702081], [1, -30, 893, -16084, 286266, -3832848, 51219155, -551902430, 5992632938, -53534535710, 481921029395, -3498136882704, 25342923154746, -138118780693588, 743844000401597, -2423948534343390, 7837433594376961], [1, 16, 424, 5236, 94471, 990900, 14734495, 137581334, 1730214216, 13895714734, 150306583495, 1020925260900, 9830690142871, 55030886223236, 450084543854824, 1715416563371216, 10828567056280801], [1, -28, 905, -17516, 336637, -4924232, 69732710, -806558640, 8974952674, -83075539920, 739794320390, -5380841260664, 37888790927197, -203058446854388, 1080617328358745, -3443646823189636, 12667700813876161], [1, 8, 468, 1432, 93060, 63192, 14710348, 15999688, 1910443734, 1711966616, 168418774252, 77412917256, 12198267669060, 20084540783624, 702341804665332, 1284625181182744, 17181861798319201], [1, -50, 1711, -41972, 849017, -14237974, 207453647, -2616240028, 29199734721, -285170163052, 2464756780007, -18438589231246, 119845678377737, -645791246350628, 2869518289648951, -9140195604083450, 19925626416901921], [1, 22, 434, 4676, 65411, 610214, 7767989, 51197554, 656315984, 5785323602, 99189451541, 880475949958, 10665090930371, 86152268984068, 903567060632306, 5175732056985974, 26584441929064321]], 'euler_factors_factorization': [[[[1, 2, 4, 5, 4, 0, 1, -2, 6, -4, 4, 0, 64, 160, 256, 256, 256], 1]], [[[1, 1], 8]], [1], [[[1, -2, 11, -54, 149, -248, 1381, -2678, 4659, -18746, 67669, -85064, 357749, -907578, 1294139, -1647086, 5764801], 1]], [[[1, -6, 52, -224, 1277, -4538, 20835, -64084, 257338, -704924, 2521035, -6040078, 18696557, -36075424, 92121172, -116923026, 214358881], 1]], [[[1, -6, 43, -136, 837, -2474, 15019, -42580, 228905, -553540, 2538211, -5435378, 23905557, -50495848, 207552787, -376491102, 815730721], 1]], [[[1, 12, 126, 832, 5153, 25034, 123885, 523636, 2323644, 8901812, 35802765, 122992042, 430383713, 1181321024, 3041333694, 4924064076, 6975757441], 1]], [[[1, 0, 53, -64, 2034, -3912, 49091, -125480, 1069082, -2384120, 17721851, -26832408, 265072914, -158470336, 2493431693, 0, 16983563041], 1]], [[[1, 14, 170, 1454, 11888, 78870, 496918, 2681430, 13842846, 61672890, 262869622, 959611290, 3326749808, 9358442722, 25166101130, 47667556258, 78310985281], 1]], [[[1, -1], 8]], [[[1, -8, 69, -640, 5258, -32016, 234283, -1390520, 7909578, -43106120, 225145963, -953788656, 4855873418, -18322656640, 61237753989, -220100912888, 852891037441], 1]], [[[1, -4, -12, 172, 2372, -1692, -45204, -18636, 6125910, -689532, -61884276, -85704876, 4445509892, 11927160604, -30788716908, -379727508532, 3512479453921], 1]], [[[1, -2, 191, -282, 16837, -9752, 959494, 192572, 42746654, 7895452, 1612909414, -672117592, 47577337957, -32671448682, 907269910031, -389508547762, 7984925229121], 1]], [[[1, -2, 149, 72, 10982, 34540, 531475, 3068794, 22437618, 131958142, 982697275, 2746171780, 37545272582, 10584607896, 941883094301, -543637222214, 11688200277601], 1]], [[[1, 12, 188, 1860, 20683, 166890, 1504675, 10715322, 81730838, 503620134, 3323827075, 17327020470, 100926442123, 426581713020, 2026492481852, 6079477445556, 23811286661761], 1]], [[[1, 4, 214, 704, 19568, 29592, 1102106, -1013740, 54838974, -53728220, 3095815754, 4405568184, 154400932208, 294409627072, 4743173281606, 4698844559348, 62259690411361], 1]], [[[1, -18, 326, -4506, 51520, -557562, 5314762, -46070178, 378142430, -2718140502, 18500686522, -114511525998, 624286438720, -3221448891294, 13750853966966, -44795726726742, 146830437604321], 1]], [[[1, -12, 277, -3136, 39870, -406200, 3782003, -34750508, 263133730, -2119780988, 14072833163, -92199682200, 552033680670, -2648653999936, 14271143697997, -37712914032252, 191707312997281], 1]], [[[1, -26, 451, -6050, 75913, -854712, 8812957, -80168870, 682181179, -5371314290, 39561363973, -257065745256, 1529732048473, -8168256897350, 40796730358219, -157578501738398, 406067677556641], 1]], [[[1, -24, 686, -11044, 184584, -2232828, 27109682, -257392272, 2428813230, -18274851312, 136659906962, -799153702308, 4690589725704, -19925908952444, 87876794769806, -218282883801384, 645753531245761], 1]], [[[1, 14, 300, 3234, 50772, 457014, 5630548, 44555258, 477196566, 3252533834, 30005190292, 177786215238, 1441835492052, 6704313531762, 45400267886700, 154663579267358, 806460091894081], 1]], [[[1, -10, 400, -4042, 84364, -769890, 11509232, -91087970, 1083990374, -7195949630, 71829116912, -379585795710, 3285984633484, -12437461964758, 97234982208400, -192039089861590, 1517108809906561], 1]], [[[1, 40, 916, 15056, 213012, 2711520, 31421068, 325262680, 3089294838, 26996802440, 216459737452, 1550411886240, 10109191872852, 59306195921008, 299477382006004, 1085442039585080, 2252292232139041], 1]], [[[1, -34, 794, -14230, 218299, -2889828, 34814851, -375825900, 3720460370, -33448505100, 275768434771, -2037239155332, 13696568468059, -79461165959270, 394603145023034, -1503865386447986, 3936588805702081], 1]], [[[1, -30, 893, -16084, 286266, -3832848, 51219155, -551902430, 5992632938, -53534535710, 481921029395, -3498136882704, 25342923154746, -138118780693588, 743844000401597, -2423948534343390, 7837433594376961], 1]], [[[1, 16, 424, 5236, 94471, 990900, 14734495, 137581334, 1730214216, 13895714734, 150306583495, 1020925260900, 9830690142871, 55030886223236, 450084543854824, 1715416563371216, 10828567056280801], 1]], [[[1, -28, 905, -17516, 336637, -4924232, 69732710, -806558640, 8974952674, -83075539920, 739794320390, -5380841260664, 37888790927197, -203058446854388, 1080617328358745, -3443646823189636, 12667700813876161], 1]], [[[1, 8, 468, 1432, 93060, 63192, 14710348, 15999688, 1910443734, 1711966616, 168418774252, 77412917256, 12198267669060, 20084540783624, 702341804665332, 1284625181182744, 17181861798319201], 1]], [[[1, -50, 1711, -41972, 849017, -14237974, 207453647, -2616240028, 29199734721, -285170163052, 2464756780007, -18438589231246, 119845678377737, -645791246350628, 2869518289648951, -9140195604083450, 19925626416901921], 1]], [[[1, 22, 434, 4676, 65411, 610214, 7767989, 51197554, 656315984, 5785323602, 99189451541, 880475949958, 10665090930371, 86152268984068, 903567060632306, 5175732056985974, 26584441929064321], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'id': 20372788, 'index': 1, 'label': '16-2175e8-1.1-c1e8-0-1', 'leading_term': '1.0262949642414439394870080196902431758452179413470593311641193636942062412159700977159740', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/2175/2/a/bc', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.00732421875', 'prec': 44}, 'plot_values': [1.0262949642414443, 1.0209884509741702, 1.0153393166993305, 1.0089898985012902, 1.0015905680163846, 0.992802190557886, 0.9822995225820028, 0.9697754878091556, 0.954951236573353, 0.9376602816779601, 0.9180345136679925, 0.8962842051764942, 0.8726258697161142, 0.8472796736867169, 0.8204669837409025, 0.7924066787542849, 0.7633109946893473, 0.733372011675503, 0.702718921317856, 0.6714694003920277, 0.6397450928781627, 0.6076708841458255, 0.575374396790245, 0.5429854117502161, 0.5106343606638334, 0.4784542267866709, 0.44658713131455596, 0.4151726737705191, 0.3843438269011796, 0.3542259982614708, 0.32493620414736896, 0.2965825049173725, 0.2692633721559562, 0.2430667085292302, 0.218068386194751, 0.1943335242069058, 0.17191662448092315, 0.1508613115737258, 0.13120015520671158, 0.11295460139181686, 0.09613500343501748, 0.08074087952845073, 0.06676141255076894, 0.05417522927328175, 0.04295072203476656, 0.03304662325208705, 0.024412672983201756, 0.016990372663687442, 0.010713818144909846, 0.005510632546139064, 0.0013029774807023135, -0.0019915696163632507, -0.004458960623663725, -0.006187551246479933, -0.007266959238566773, -0.007786919407179723, -0.007836148870319866, -0.007501236870373032, -0.006865586540103214, -0.006008405866047251, -0.0050037262323056695, -0.003919500721805795, -0.0028168014215146395, -0.0017491277408640334, -0.0007618367080768653, 0.00010829150549261272, 0.0008333457573102461, 0.0013944653594595046, 0.0017818470430316772, 0.0019945835777181145, 0.002040340183503254, 0.0019348714087509366, 0.0017013813016168303, 0.0013697377353278878, 0.0009755569675770063, 0.0005591354817682045, 0.0001642611036807207, -0.0001630715227965452, -0.00037602256786950885, -0.0004283229401220117, -0.00027571938801530213, 0.00012257271229780737, 0.0008024132896377139, 0.0017933347386508587, 0.003117236204179815, 0.004787195104668643, 0.0068064229322539, 0.009167391288179933, 0.01185115511247746, 0.014826871187593103, 0.01805149294518304, 0.02146988197895644, 0.025015199057781417, 0.02860955429197462, 0.03216495298281605, 0.03558454247943761, 0.038764150288669856, 0.041594077959363054, 0.04396115000807735, 0.045751218643667574, 0.0468517581862232, 0.04715460479226355, 0.046558830342798355, 0.04497369230369318, 0.0423216058900213, 0.03854112271324128, 0.03358997305013735, 0.02744775734932829, 0.020118373965542377, 0.011632159329634724, 0.0020476506442671924, -0.008547092741195625, -0.020033675644629764, -0.03226303990118116, -0.045055460225342195, -0.0582017972453799, -0.07146534877160093, -0.08458433005964998, -0.09727508057449477, -0.10923603877337318, -0.12015249289301938, -0.12970172283142803, -0.1375586378795098, -0.14340269508522283, -0.14692506635495364, -0.1478360738780913, -0.14587297533567997, -0.14080791077613877, -0.1324555539325127, -0.12068075355916441, -0.10540612398383264, -0.08661913388851938, -0.06437840557225469, -0.03881922242796746, -0.010157930602734178, 0.02130494309376076, 0.05518274877127323, 0.09100198012464528, 0.12820253461689357, 0.16614070976847864, 0.20409396160027377, 0.2412674714934049, 0.2768021260725374, 0.3097843210049901, 0.3392574724469246, 0.364234915713614, 0.38371388832717845, 0.3966927143703599, 0.4021887108989548, 0.3992558351760665, 0.387003320297056, 0.36461463504841995, 0.3313664016841992, 0.28664689901646173, 0.2299745058958411, 0.16101504414346748, 0.07959646907968305, -0.014277851001775579, -0.12041806337095766, -0.23843933792469135, -0.3677562591948783, -0.5075804263121112, -0.6569217520970063, -0.8145931742099927, -0.9792189485932624, -1.1492466840133464, -1.3229630844086926, -1.4985134516456353, -1.673926589336323, -1.8471414460916384, -2.0160368059393874, -2.1784616511753283, -2.3322680453180396, -2.4753459495458867, -2.60565941422233, -2.721287809872095, -2.820459908560564, -2.901586341916488, -2.963296847745523, -3.0044658766720165, -3.0242373579592288, -3.022048048434387, -2.997653671337668, -2.951137235968839, -2.8829110660050374, -2.793720029304886, -2.6846423425978863, -2.557070839691027, -2.4126943122679454, -2.2534829509912626, -2.0816506749121624, -1.8996140700096278, -1.7099519347334693, -1.5153622194869318, -1.318617106766029, -1.1225071908950242, -0.929795729714036, -0.7431569650897722, -0.5651199790206619, -0.3980191223794186, -0.24394759544633263, -0.1047153900051394, 0.018186874836950057, 0.12361575668854485, 0.2108059613173194, 0.2793872443133451, 0.3293897655527805, 0.36124046072533195, 0.3757502735657009, 0.37409187164204905, 0.357768717800575, 0.3285781228281023, 0.28856327114934255, 0.23995792646750266, 0.18512580650449997, 0.12649600159236143, 0.06649549870319005, 0.007481004543621241, -0.04832702415388051, -0.09891054224727223, -0.14251385905002797, -0.17769632801755378, -0.20337635966405823, -0.21886532162352393, -0.22388967399997084, -0.21860079663834955, -0.2035739116247198, -0.17978668531181027, -0.14858380058776752, -0.11162781815536035, -0.07083620962752363, -0.028305529086166136, 0.013775796117740387, 0.05322349780859594, 0.08796075760369654, 0.11613091653968247, 0.1362092603454672, 0.14711226466276636, 0.14830175842728083, 0.1398804776335977, 0.12267580305279108, 0.09830873361883861, 0.06924547209172909, 0.03882456328693279, 0.01125922953846108, -0.008386439869926317, -0.014248951784527645, 0.0002548016692055956, 0.04231930507071742, 0.11961341829841778, 0.24011161503172435, 0.4119029016769922, 0.6429807531799967, 0.9410159406032326, 1.3131173891810692, 1.765586391933698, 2.3036700236754073, 2.931314938797995, 3.65092061460003, 4.463139964728211, 5.3667008767383955, 6.358258673680325, 7.432288566996511, 8.581023585715224, 9.794443282877209, 11.060319723652986, 12.364301449045277, 13.69009102013771, 15.019676034580076, 16.3336110371427, 17.611353703951202, 18.831652083853406, 19.97299797705892, 21.01409261853643, 21.934322004206837, 22.714278240130522, 23.336272257385186, 23.784831982425537, 24.047178974026036, 24.113700077282864, 23.97832017683606, 23.63879958366359, 23.096994717964307, 22.35898546589706, 21.43510648715739, 20.339879495378142, 19.09186209972814, 17.713316338524184, 16.229755128392416, 14.669406466317385, 13.062586042495713, 11.440901322861562, 9.836394792019043, 8.280643076729836, 6.803755651539113, 5.433354062154348, 4.193560836499584, 3.104013299172676, 2.1789269371603543, 1.426205576884186, 0.846676989817829, 0.4334547668209577, 0.17147150723692775, 0.03720125046299225, -0.0014125543987386227, 0.015193528157224882, 0.0385890528888958, 0.012986070803328578, -0.12387048147047336, -0.4395688854108136, -1.0056646985088002, -1.8960997052455555, -3.185429144751449, -4.946882077781398, -7.250279350587769, -10.159892920919479, -13.73227174453289, -18.01408194229935, -23.040018465142023, -28.830844377444922, -35.39160055926236, -42.71005319507514, -50.75559268037339, -59.478354799954225, -68.80873717274507, -78.65736829044243, -88.91554345907419, -99.45613747572264, -110.13500843396204, -120.79306908924536, -131.25912307405622, -141.3525849958845, -150.88673562672946, -159.67244833977458, -167.52224709429163, -174.2546231154138, -179.69850247406052, -183.6980059556908, -186.11762147179377, -186.84603837733988, -185.80006676395877, -182.92843719540963, -178.21513760560507, -171.68210363320668, -163.39131885533675, -153.44637700715907, -141.99349583125144, -129.22038431065272, -115.35472527017367, -100.66188578970021, -85.4416095648879, -70.02385597198996, -54.76375046753967, -40.035713674978965, -26.226669030426237, -13.728328751804874, -2.9292744399928035, 5.793254740487126, 12.081761127677701, 15.6069484375118, 16.07607516678439, 13.24116917319862, 6.907097936690265, -3.0619999863035243, -16.737038573998387, -34.119185039769924, -55.13621183740846, -79.64012604871346, -107.4061864596951, -138.13347949863078, -171.44736121236215, -206.9037895003184, -243.99482466976633, -282.1555147111077, -320.77216518574267, -359.1919086243079, -396.73372839545294, -432.70070931862926, -466.39442079581084, -497.12737491196737, -524.2359171982514, -547.0934778656206, -565.123606590341, -577.8129622882908, -584.7228284920549, -585.5004443478425, -579.8918844536879, -567.7470492785847, -549.0243782789976, -523.7947106592552, -492.2435371519126, -454.6702822900626, -411.48547642852293, -363.2072806687403, -310.4579277308418, -253.950893330593, -194.4786868603009, -132.90023002139742, -70.126311990197, -7.104097121078127, 55.19908993739424, 115.81203016573407, 173.77581520555367, 228.1639212753753, 278.1000498352187, 322.77415209832594, 361.45717834424124, 393.51446504457425, 418.417452549651, 435.7537438204905, 445.2362289943709, 446.7091499076953, 440.15034103193364, 425.6711853754766, 403.514244567474, 374.0484660387973, 337.7620719032299, 295.2539094536791, 247.22396642880943, 194.4580002424987, 137.81185475642505, 78.1952714496343, 16.554896726366064, -46.14317085706272, -108.93098393620193, -170.85609993657786, -230.99819583017361, -288.48636278031057, -342.514151302954, -392.35272584406783, -437.3622160161507, -477.0012632804831, -510.83466851729725, -538.5383019030265, -559.9026910653449, -574.8330304360874, -583.3468819349426, -585.5698691483817, -581.7295928540625, -572.1477769362401, -557.2300109068922, -537.454928361984, -513.3631960153081, -485.54319295375046, -454.6170098926282, -421.2268982820438, -386.0218194747082, -349.64403646148514, -312.7167538908729, -275.83302383933375, -239.5461483112065, -204.35998176134936, -170.72152993302262, -139.01539110092983, -109.55980020596967, -82.60449160457694, -58.33024409625992, -36.85004113849556, -18.211677108931664, -2.401589519650467, 10.649954452047044, 21.06264771745233, 28.999156507414348, 34.657584667252266, 38.26361282195384, 40.062565925338916, 40.31161776070886, 39.27209304624009, 37.20238716356268, 34.35157579360599, 30.953813274481135, 27.223621673909815, 23.35214081578216, 19.504361413453086, 15.817387118732908, 12.399716261037085, 9.331477350444048, 6.665528582783194, 4.42932156238087, 2.6274152221333957, 1.2445116685516973, 0.24888673220471888, -0.4039478215188046, -0.767430200705197, -0.900213364538185, -0.8626099599691103, -0.7133178363466178, -0.5065212969203476, -0.28946306753399476, -0.10053541092188377, 0.03207985612048838, 0.09117635788459476, 0.07071456882768405, -0.02452757122960342, -0.17980827536873792, -0.37170530301113114, -0.5697571387709183, -0.7383941356192977, -0.8390766493789915, -0.8325022602926246, -0.6808073324000113, -0.3496577066955398, 0.18983647887600405, 0.9594339404765492, 1.9723781731580001, 3.2323781447408417, 4.733050069188263, 6.457760344211136, 8.379964106534317, 10.46380164973068, 12.665037918901673, 14.932356022422702, 17.20892553250204, 19.434266666342957, 21.546537201786155, 23.484635220696592, 25.189994825613375, 26.608418952016237, 27.691841765161765, 28.39989887363559, 28.701256449859873, 28.57484074390118, 28.011092374700244, 27.01171935714851, 25.589452915301766, 23.76765579786053, 21.57961949506482, 19.067578111343735, 16.28151230552843, 13.277819949065753, 10.11769210536113, 6.864993848437635, 3.5844003274962244, 0.33965810623308795, -2.8080717460338915, -5.801757097922847, -8.589926028506248, -11.127843581991629, -13.378489553624126, -15.313291370234499, -16.912475608526737, -18.165135135770484, -19.06909039245609, -19.630535232150063, -19.86328814932503, -19.787969128077055, -19.43114838850217, -18.82410797737086, -18.001592860986626, -17.000635306385767, -15.859378894046435, -14.6158260539433, -13.306767957921512, -11.966882855567679, -10.628025496686348, -9.318464124519325, -8.062405696797946, -6.879705160234522, -5.785698708557538, -4.791251362370099, -3.9029555195223087, -3.1234645732299664, -2.451934814853474, -1.8844874537480234, -1.414751462979302, -1.0344385224312527, -0.7339315212166155, -0.5028483599608816, -0.3305598264938767, -0.20664591432709034, -0.12127746727015876, -0.06550946303355538, -0.03149519197038624, -0.012616878538078174, -0.003534284253779942, -0.00015956139785080404, 0.000430507073148521, 0.00013170331574713823, -1.543876922032434e-05, 0.0003666890971664975, 0.0011908589958848966, 0.002095422111380115, 0.0026152423812976304, 0.0023236181506187037, 0.0009383330644626141, -0.0016121361527969935, -0.005163239287292928, -0.009327786998048716, -0.013543624363880563, -0.017148707029749456, -0.019474945978930482, -0.019950970443222037, -0.018203386514206128, -0.014146250094648483, -0.008049063849773061, -0.0005752370935549363, 0.007215075240221069, 0.01390185602431717, 0.01778300341323415, 0.016991608726203863, 0.009648961505038373, -0.005953558756965755, -0.031153203962574615, -0.06670614335894366, -0.11258117832267515, -0.1677726821103117, -0.23014026890096856, -0.2962891758885658, -0.3615047066104924, -0.419749150920549, -0.4637243345860713, -0.4850053366487759, -0.4742509306382957, -0.4214712790806593, -0.31635932391126803, -0.14867834153869747, 0.09130878541105773, 0.41239632127524956, 0.8220351022089908, 1.3259065503539291, 1.9275250320452324, 2.6278881149816575, 3.425189909898546, 4.314612349791475, 5.288207523411141, 6.334952103069293, 7.4411209795905435, 8.59040448369127, 9.764169989585948, 10.941869078445935, 12.101526448973795, 13.220297631216765, 14.275123059408418, 15.243600193032794, 16.104916039291798, 16.840176223335778, 17.43286547118023, 17.86934637682086, 18.13928146495829, 18.236030139608445, 18.156987629481346, 17.9036655433337, 17.48200468334675, 16.90179841385114, 16.17626154796603, 15.321630997035019, 14.356744803507176, 13.302543086550743, 12.181307811185018, 11.016088976152506, 9.830270247373997, 8.646571575063229, 7.486349337087384, 6.369097922806862, 5.311998418260723, 4.329476347373504, 3.4329447362219128, 2.6306988276515044, 1.927944872884003, 1.3267172922404402, 0.8260426333404889, 0.422220474977205, 0.10917575453935016, -0.12110847962181635, -0.27812045410192393, -0.3723290200092851, -0.4146997279418225, -0.416260663307614, -0.38767324944697595, -0.33884334251055354, -0.27860608517190655, -0.21449067284015647, -0.1525687348089672, -0.09738671142532451, -0.051979824265450905, -0.017952920151040143, 0.004374782590876696, 0.01576845051668914, 0.017838498605067244, 0.012779931143236537, 0.0031064722994921805, -0.008604723510953817, -0.019943749136525774, -0.028863718081594155, -0.03382986010643461, -0.033915043283593044, -0.028838783356253877, -0.018950249055841663, -0.0051592285289913985, 0.011177811303832915, 0.02840667864737444, 0.04474830544564254, 0.05848091175150873, 0.06811702951608145, 0.07256122413888177, 0.07123538597806126, 0.06415965079186817, 0.05197993374738486, 0.03593622100068319, 0.017768379183895747, -0.0004384066317649606, -0.016463475077507533, -0.028207083551473652, -0.03398057726473067, -0.03281521520927185, -0.02477246865405323, -0.0112368252301685, 0.004828860217730645, 0.01868359191009741, 0.023681464894279445, 0.011232132990772269, -0.02914049921217799, -0.10963345407708966, -0.24389158344008577, -0.4466328703073352, -0.7331755556608559, -1.1188861408062287, -1.61855976532685, -2.245752376968244, -3.0120916587547444, -3.9265929629091993, -4.9950238703635605, -6.2193938512133204, -7.597512826992054, -9.12261895306826, -10.783148829189763, -12.562669043761511, -14.439971462819237, -16.389338785333212, -18.38107372616729, -20.38244247938121, -22.35825222743419, -24.271634174884145, -26.08499670728347, -27.761043919178757, -29.26382801350925, -30.559884632036187, -31.619550819199077, -32.417989787166704, -32.93565790719291, -33.15884123324197, -33.080119518822116, -32.69865169857153, -32.02038380171608, -31.058122221176863, -29.831020165146064, -28.364197310733317, -26.687722341550636, -24.83567261662798, -22.84517628816539, -20.75547252031681, -18.606897884406855, -16.43954570800854, -14.292189800990071, -12.201308417244332, -10.200029070428833, -8.317344713578658, -6.577561967527053, -4.999860590085185, -3.5979370886595734, -2.3799447192696848, -1.3486117887988005, -0.5014920565907849, 0.16856196281259936, 0.6727952546403042, 1.025874448619647, 1.2451182242891323, 1.349676080776053, 1.3597045169518103, 1.2955808618696079, 1.17718133462769, 1.023184451383957, 0.8504968800787724, 0.6737860743673507, 0.5051624901316726, 0.35399847527562966, 0.2268794372541921, 0.12768003828234276, 0.05775244838052698, 0.01619727140029946, 0.00022207010999388723, 0.005563525656046181, 0.026938957745603127, 0.05850315738425153, 0.09428813827987761, 0.1286044544351598, 0.15639471252126122, 0.17351973813295196, 0.17696309627930734, 0.16495152745382805, 0.13699096475640843, 0.09382228020566251, 0.03730475667410299, -0.029759103513079827, -0.10384728535513299, -0.1809818088428916, -0.2570047834411623, -0.3278515632871628, -0.38980614476292713, -0.43972441166039516, -0.4752144703113112, -0.49476598222249574, -0.4978239552567298, -0.48479681082633447, -0.45700546555845295, -0.41657887612987987, -0.3663033381546487, -0.3094343993875057, -0.24948438424707217, -0.18999890632198502, -0.1343352335833109, -0.08545439721388894, -0.04574096846923212, -0.01685989169844264, 0.0003421885797090394, 0.005885179300986254, 0.0006514665711074492, -0.01367001658181432, -0.03468899004378742, -0.0594582803809243, -0.084650614940489, -0.10675794972017699, -0.12230168574395485, -0.12804223838937298, -0.12117636551599884, -0.0995106926123184, -0.061597274651961575, -0.0068281256243068016, 0.06451421636370817, 0.15125310834227756, 0.25136140666968826, 0.36204996696931707, 0.4798962378480928, 0.6010143319918891, 0.7212730182940128, 0.8364815460658321, 0.9425819356602925, 1.0358392012005235, 1.113013624520836, 1.1715066039629778, 1.209475682519735, 1.2259257720304828, 1.2207640914551092, 1.1947439965638493, 1.1493930315085554, 1.0869169075445597, 1.010073937067219, 0.9220300258019494, 0.8262000111234168, 0.7260776025565772, 0.6250812537746385, 0.5263736694950742, 0.4327264378575999, 0.3464205277130594, 0.26917991506618205, 0.2021378328792517, 0.145833589988963, 0.10024704160054648, 0.06486193383595754, 0.03874770482844692, 0.02066526258630273, 0.009183194960359672, 0.0027945920784506134, 2.7486718411046012e-05, -0.0004577299784149827, 0.0002095139533994507, 0.001163766982320544, 0.0018311337953171249, 0.001929270978673096, 0.0014409191345819852, 0.0005639004776218212, -0.00035757742860958574, -0.0009142449835397727, -0.0007187286648327269, 0.0005097038609974125, 0.002869551022957747, 0.006217045746086614, 0.010127626791573738, 0.01388303894386709, 0.016486359456357524, 0.016705369735254418, 0.013143364450238539, 0.00433464781257119, -0.01114704567325273, -0.03457001174380817, -0.06692395054196616, -0.10880621555435038, -0.16032338349424158, -0.22101603112918597, -0.28981524892145455, -0.3650435384085179, -0.44445030199588714, -0.5252842910043628, -0.6044034915383754, -0.6784173240684199, -0.7438545701655744, -0.7973494076219446, -0.8358426239683833, -0.8568010040124951, -0.8583706549711433, -0.8395086764812129, -0.8000832257631613, -0.7409271939214854, -0.6638412620507809, -0.5715394300939243, -0.4675496302930081, -0.3560808486105863, -0.24178100047549522, -0.12948363834853985, -0.023945322581888365, 0.07042280748611437, 0.14981445820026684, 0.21126093725982206, 0.2528201610623111, 0.273711715180669, 0.27440921285067227, 0.25664527804641607, 0.22333785042701756, 0.1784407249389839, 0.1267261662687818, 0.07351055070187813, 0.024336327729857707, -0.015372261412488973, -0.040660454974337616, -0.047381218005000406, -0.032498026463214515, 0.00566830369404936, 0.06726547921584072, 0.15082170787478014, 0.25325522073763274, 0.3699925765601136, 0.4951769958219384, 0.6219634382784611, 0.7428886437291414, 0.8502965846470658, 0.9367961721900917, 0.9957252866387891, 1.0216043881044998, 1.0105655833067848, 0.9606385557473637, 0.8719492686356978, 0.7468112872580162, 0.5896892122708487, 0.4070303692574792, 0.20696890738558765, -0.0010790769451478272, -0.20690864906876383, -0.40014804091193945, -0.5708869895603058, -0.7102909154276045, -0.8111735873989033, -0.8684923397925366, -0.8797301229078089, -0.845118206168658, -0.7676874480249137, -0.6531607303699265, -0.509644212446166, -0.34713837703886113, -0.1768960598689806, -0.010656802664578613, 0.14019746917684828, 0.26550779613768916, 0.35716873395523235, 0.40983337930030356, 0.42146306009553763, 0.39366037450101293, 0.3317279120849227, 0.24440724150792842, 0.14328332070013725, 0.04184290069186098, -0.04581086807596268, -0.10652238042695439, -0.1298779491415628, -0.11016322841692605, -0.04838324366148608, 0.04575856773609032, 0.1520381598480508, 0.23816613675029785, 0.2586508059388053, 0.1542104982095792, -0.14820400636097705, -0.7347190021251482, -1.7031055884842679, -3.1605790454352225, -5.220833769034936, -8.000373050568614, -11.614271756197121, -16.17144051643928, -21.76962372847167, -28.49020428597122, -36.39303004755526, -45.5114684023549, -55.847895301080925, -67.37003808695843, -80.00932630574017, -93.65917107892629, -108.1744143151201, -123.37224434288709, -139.03444368349219, -154.91097816759665, -170.72492285784872, -186.17953062638202, -200.96884823631166, -214.78430791107286, -227.32260822176963, -238.29455631592177, -247.4338780987841, -254.50591798601675, -259.3153784767403, -261.7143678352695, -261.61245370590234, -258.9769958787795, -253.83383733248277, -246.26752592626517, -236.42001363018335, -224.48694561383326, -210.71223455596126, -195.3824594253046, -178.82185537347632, -161.37893249067974, -143.41498345690744, -125.29361458491394, -107.36982254894515, -89.97962746730225, -73.43063732533032, -57.99414399083592, -43.89900812644037, -31.324187135061734, -20.394692409136997, -11.179933537756797, -3.694150243036505, 2.1012019328868075, 6.293293167868548, 9.012168309878227, 10.423770815946819, 10.7220959929603, 10.120305764033047, 8.841471467856035, 7.109394614378084, 5.139861236787293, 3.132662762276553, 1.2646874900721508, -0.315684577127905, -1.4927798578975158, -2.186170186383432, -2.351547013231161, -1.9799774379313466, -1.095640594003771, 0.24779480549430058, 1.9719505673083637, 3.9794491948446473, 6.160132654588276, 8.397525224405882, 10.575261031526695, 12.583178050092265, 14.32279924523279, 15.711949258749616, 16.688414531055866, 17.21248669047208, 17.267962639025072, 16.862036824178247, 16.02407698695275, 14.80327847522239, 13.26536328274102, 11.488743354889465, 9.560122380325137, 7.569774355463682, 5.606819904174929, 3.7548388278413167, 2.087850729715275, 0.6669587911387272, -0.46199875877467117, -1.2700807243196877, -1.745960378992139, -1.895578554101698, -1.7409387339101519, -1.3182148199889272, -0.6751305365661282, 0.13218180012336647, 1.0425192525857259, 1.993060145868426, 2.922893280682834, 3.77665755593635, 4.507051268215078, 5.076893143832623, 5.460525305873226, 5.644567820763002, 5.62798879504709, 5.421510263790928, 5.046538205442633, 4.533799751157015, 3.9205857039559957, 3.2480075802122137, 2.5584021207969707, 1.892802948643966, 1.2886081465863608, 0.7775622999775622, 0.384179918590637, 0.1245780971437281, 0.005698676991322636, 0.02533127766502605, 0.1727205966249794, 0.4296492640627069, 0.7719122083541254, 1.1710812477081705, 1.5964475079607956, 2.017009664397654, 2.4034912906799284, 2.7301386268791275, 2.976197761911848, 3.127008730352281, 3.174683873152971, 3.11830310285666, 2.9636429367912016, 2.7225180686293866, 2.411704155753975, 2.0515592546471857, 1.6644632315824268, 1.2731882941760846, 0.8992711175909966, 0.5615330380421127, 0.2748581778050185, 0.04929302546691737, -0.11051530941830354, -0.20544695551507594, -0.24161858153916183, -0.2296987461938051, -0.18387856920780976, -0.12058134931100842, -0.05700607455919572, -0.009611337892583666, 0.007349617552553112, -0.016866534337068438, -0.0884501453747312, -0.20834879966923164, -0.3719909603788644, -0.5694562928987921, -0.786098230357355, -1.003596733836989, -1.2013732094866456, -1.3582851059124064, -1.4544921563344804, -1.4733681905814926, -1.4033235791579626, -1.239402194026515, -0.9845249185896465, -0.6502611936793639, -0.25703481271281736, 0.1662704963534861, 0.5833346205417179, 0.9520403855967003, 1.2266738341020644, 1.3605948919665016, 1.3092486950793107, 1.0333096467266458, 0.5017991408809712, -0.3049591171916345, -1.392748779237887, -2.751417625619304, -4.353553728981065, -6.154040938859651, -8.090573799481673, -10.085270670936447, -12.046920846370382, -13.87414056635517, -15.459349910744422, -16.69344338090974, -17.47093976729343, -17.69514400632808, -17.28335416397783, -16.171643726810643, -14.318751873607004, -11.709424030757212, -8.356898282331652, -4.304173256770134, 0.3761009211465388, 5.582891230178134, 11.189599861645164, 17.049013088757714, 22.997870676282748, 28.86247566801725, 34.465248304370455, 39.63127858613554, 44.19500684171745, 48.00671617303573, 50.939094595354774, 52.894159498113986, 53.806162244834574, 53.643960854169215, 52.41182255816506, 50.149255463038685, 46.92951356357301, 42.856798956121075, 38.06263270927195, 32.70190123610199, 26.945092313901167, 20.970696358899993, 14.958412789709095, 9.082512166130781, 3.5055889025237743, -1.6270417158150638, -6.1920034710918275, -10.092288877125394, -13.260299195007581, -15.65885032872715, -17.280846532255996, -18.14773440356479, -18.306864300234807, -17.82801365640544, -16.79929294005786, -15.322558962540024, -13.507594142620091, -11.46659718422453, -9.309109150202547, -7.137460555918536, -5.04302192257441, -3.103070774541693, -1.3785349653671464, 0.08727373778088446, 1.2690520833050336, 2.1587660217686926, 2.7640409424949275, 3.1058406603191417, 3.2157620509528138, 3.132995207950345, 2.901148028438038, 2.5651849910323454, 2.1684519686700554, 1.750157144494585, 1.3434170323929275, 0.9739391821277986, 0.6593468055339382, 0.40914358237986803, 0.22527797911555422, 0.10321561940307568, 0.033394159229089164, 0.002959635865873549, -0.0023847211694103757, 0.0034241940013274687, 0.008421408705639538, 0.003908419214798253, -0.014670334634326368, -0.04733684455304278, -0.08970605340987414, -0.13362100186723155, -0.16824936314674235, -0.18155869092576532, -0.16205723274310035, -0.10066384663662337, 0.007445105199325011, 0.1611734602687958, 0.3521666258649942, 0.5639233781887513, 0.7714681425264157, 0.9416588277891363, 1.0341670833117655, 1.003126165242163, 0.7993923123501814, 0.37327884991678195, -0.32235933892876073, -1.3288034284685477, -2.6781055052451284, -4.389878741445485, -6.468449908580017, -8.900582410589704, -11.654005030139714, -14.677099374929588, -17.899050214673412, -21.23099542584464, -24.568222587412276, -27.79334314734369, -30.780350404094936, -33.399272035822335, -35.5215320579664, -37.025772067994936, -37.8025693732327, -37.7592975669168, -36.82478732807956, -34.953319180842314, -32.127602281972294, -28.36084483524149, -23.69748993857217, -18.211689993156615, -12.00535719893313, -5.205474666370678, 2.0397310406727565, 9.565476146879922, 17.195693921185097, 24.748767848989445, 32.04438290046923, 38.91262545436295, 45.19790421165811, 50.763127691187236, 55.49368738784609, 59.30062995193241, 62.12287401844784, 63.92840731653972, 64.71550132313354, 64.5149892724458, 63.38474711885504, 61.40522236975694, 58.67556105303093, 55.309305523541674, 51.429838197303766, 47.165761514202224, 42.647101271830316, 38.00235490996865, 33.35183442506041, 28.803690121913714, 24.451413834399858, 20.372123393732615, 16.625631985252564, 13.25429693057258, 10.283633418077706, 7.723605610547733, 5.569455708669394, 3.8037218342014887, 2.3987334154564146, 1.319214154124428, 0.524861632859775, -0.02721980774768732, -0.38030714488452766, -0.576176076614423, -0.6535887926333191, -0.6470935994545581, -0.5862308967475587, -0.49514120117134797, -0.39253077967079736, -0.291942898450788, -0.20227263091174838, -0.12845174111567126, -0.07221878377381082, -0.032934433944515104, -0.008374429294733192, 0.004553821221767373, 0.009208345636173995, 0.008747355014438586, 0.005811303317567361, 0.0023489199120666593, -0.0004276571616630392, -0.001982149402311773, -0.0023165384952562222, -0.0017886366803418039, -0.0009167187985828739, -0.00020007737715050451, 2.102652818582452e-05, -0.00035049824253848607, -0.001148227210411169, -0.0019843349665694078, -0.002345839282329977, -0.0017298356314023207, 0.0002025978533840362, 0.0034772291802846237, 0.007686631941581545, 0.011922482186413081, 0.014775296226118654, 0.014412598211730744, 0.008740458095270074, -0.004355131505598721, -0.02669865756539787, -0.05946686549039459, -0.1028130364199127, -0.15552184815262712, -0.21470204855699926, -0.2755521390510833, -0.3312331480740562, -0.3728716139508819, -0.3897119292706299, -0.3694264665883227, -0.2986054150991186, -0.16347747439618643, 0.04941893163951393, 0.3524731995574488, 0.7561823789676058, 1.2683442122636275, 1.893318126871275, 2.6313830961333258, 3.4782044073940477, 4.424453979743773, 5.455924675165444, 6.553784462051093, 7.695046580679079, 8.853277745729098, 9.999441222685833, 11.102920428016194, 12.132704213289806, 13.05881100781195, 13.853558677630796, 14.492751592247163, 14.956738046218684, 15.231178345356522, 15.307645237509421, 15.183980886544553, 14.864495134180174, 14.360126872233694, 13.687712759723471, 12.869107759020116, 11.930124897186554, 10.89939444044598, 9.80714089984935, 8.683933086192024, 7.559545100658194, 6.462024835117056, 5.416344150334052, 4.443456723827042, 3.55972413589956, 2.776599101331617, 2.1005654054434033, 1.5333227776196074, 1.0722130500541267, 0.7108192318291722, 0.4396000005266344, 0.24673286296344288, 0.1190240614717663, 0.04280218338885477, 0.0047446692523583425, -0.007406415086666541, -0.00427344411407166, 0.005558910848058742, 0.015770921860321162, 0.0223570497267821, 0.023501644731181406, 0.0193040159362896, 0.011385489668574802, 0.002415513669867191, -0.004402050805605641, -0.005839817517964827, 0.0008834563696420982, 0.017709221317329306, 0.045450159456370244, 0.08362364179598403, 0.13041664987374738, 0.18278223679595768, 0.23665662935919693, 0.2872777337514318, 0.32956895057179314, 0.35856215007622383, 0.3698215059382431, 0.3598415865772783, 0.32638494795953366, 0.26872883347451076, 0.18779995977807196, 0.08617666447579837, -0.03203479164565572, -0.16143266044717086, -0.29564714651984336, -0.4277488986995338, -0.5507093175747075, -0.6578797537553923, -0.7434653015251999, -0.8029660899652707, -0.8334528058153283, -0.8337665465887689, -0.8046099671762151, -0.748506361968805, -0.6696308660952656, -0.573522954869244, -0.4666965765137009, -0.35615532084591117, -0.24886042782414028, -0.15121999827811322, -0.06861498995807416, -0.00499183224782148, 0.037449154358915555, 0.05844749975211722, 0.05974317116405684, 0.044985992220085855, 0.019491112688632965, -0.010135277805148895, -0.036473351571485874, -0.05184119373274021, -0.048887404360093194, -0.021177421210978074, 0.03626414962688838, 0.1264549959529162, 0.2500945428474638, 0.40534659240798493, 0.587777769403086, 0.7904795465410072, 1.0043726322215432, 1.2186094973063095, 1.421106710511306, 1.599168133945932, 1.7402229585491127, 1.832568169230558, 1.8661107901337841, 1.8330262544498106, 1.7282214163211973, 1.5497149697235302, 1.2988565655651885, 0.9803370599602409, 0.6020746503280586, 0.1749172480000575, -0.28786211491009445, -0.7712000807121501, -1.258933685456848, -1.7345444158062553, -2.181949794014896, -2.586350350162442, -2.9348809780005207, -3.217178668869176, -3.4257549983233426, -3.556247707104688, -3.60751603587904, -3.5815764553642775, -3.483420854800226, -3.3207998789020974, -3.103619567874706, -2.8432662596278258, -2.5519841170206843, -2.2422506565977343, -1.9261801168204769, -1.6149859372170137, -1.3185551448793158, -1.0450897865555608, -0.8007901410424377, -0.5897434512187607, -0.41395137585497277, -0.2734689975134632, -0.16663861537830107, -0.09039768645231372, -0.0406311281044779, -0.012552502302892066, -0.0010859213904200096, -0.0012241536441517434, -0.00833842504033995, -0.018424079662064514, -0.02827298018286397, -0.03556810134144649, -0.03890072532259194, -0.03771731821766504, -0.03220502207055686, -0.023134046872267295, -0.011673807070686704, 0.0008004249153657181, 0.012894756435697811, 0.023361462114775626, 0.031229869477327414, 0.035896007842107475, 0.037162490260583436, 0.03523274979625657, 0.0306648751990185, 0.024290449901591737, 0.01710936044830487, 0.01017268499581099, 0.00446548507937442, 0.0008006836056806113, -0.00026555137201024926, 0.0015118376102863601, 0.006046191143074704, 0.012933168459425525, 0.021497115690411593, 0.030864679223679584, 0.04005853832275949, 0.04810305570216284, 0.05412791307929026, 0.05745973271938446, 0.05769409708482273, 0.05474083697083557, 0.04883783972056637, 0.04053158269625117, 0.030625828884164125, 0.02010169136762198, 0.010014946421772922, 0.0013849464084431755, -0.004916178189408599, -0.008264113894187283, -0.008362935375536633, -0.005297296087857694, 0.00045042198647243353, 0.008023781654478179, 0.016254280800257797, 0.023755536150679445, 0.029043666736795187, 0.03067458430362272, 0.027387156156423894, 0.01823962811485337, 0.002727678958824711, -0.019124473227470514, -0.046726425143831976, -0.07892786422280812, -0.11407139549015573, -0.15009309702988738, -0.18466605330816177, -0.21537267812488564, -0.23989793431972056, -0.2562342795104446, -0.262869585932109, -0.2589441786529901, -0.2443687031290588, -0.21988788450745855, -0.1870775909562677, -0.1482818302060168, -0.10649063691630108, -0.0651630660452938, -0.02798877815156354, 0.0013726428890810652, 0.019561537983530254, 0.023777387202017202, 0.012007431407389996, -0.016791122916918033, -0.06256861756188785, -0.12412950717570145, -0.199169083985686, -0.28439400701366013, -0.3757120312962404, -0.4684813805901537, -0.5578033468894434, -0.6388382001426656, -0.7071256454794987, -0.7589036428087886, -0.7913650553162679, -0.8028334056610558, -0.7928676349100999, -0.7622805222739126, -0.7130688843204392, -0.6482611220598172, -0.5717058439241669, -0.48779556076815317, -0.4011179379580981, -0.3161209449376284, -0.23680202448607907, -0.16644004746153993, -0.10739082827977417, -0.06096291472294717, -0.027377195118342194, -0.005818024395877482, 0.00542700591108617, 0.008748460857612576, 0.006942585166596844, 0.002910800271843589, -0.0006411891132247442, -0.0014776687859325841, 0.0019463049711743897, 0.010339695211428027, 0.02352296706858495, 0.04047531808916768, 0.0594784365404007, 0.0783446520655764, 0.09470784034433029, 0.10634770938941096, 0.11151371743055265, 0.10921239976943414, 0.09941502369275519, 0.08315629541500998, 0.06249974800795426, 0.04035290488245409, 0.02013405531880938, 0.005304353412744494, -0.0012068714383814596, 0.00235812750713009, 0.01593861738278932, 0.037068895004359115, 0.06042039186559204, 0.07753938393036416, 0.07684252554000492, 0.0439214429827277, -0.03781204082256362, -0.18614110903640735, -0.41872736381885856, -0.7515150117387681, -1.196920151504973, -1.7618995082356743, -2.4460152845110166, -3.2396299184618824, -4.122439054637279, -5.06266595237515, -6.016550458069601, -6.928494049915413, -7.73197868757621, -8.351266814304088, -8.703889858182633, -8.70402361187972, -8.266900268403612, -7.31323133595742, -5.773482565716986, -3.592400415654751, -0.7334270183429606, 2.8173134471762817, 7.047404679606583, 11.915147241213969, 17.34902878956305, 23.248780879561952, 29.48725431385577, 35.91349091450426, 42.357153716677125, 48.63379885240209, 54.55114677232253, 59.91725174125234, 64.54905261005514, 68.28232126806337, 70.97812251102366, 72.52896141128097, 72.86407927080852, 71.95352141440179, 69.81102580846235, 66.49465713925862, 62.106025257294995, 56.788473442564985, 50.71980688326178, 44.104629672489494, 37.16608973570837, 30.136759189656374, 23.248957631312695, 16.725063711223726, 10.768388397338109, 5.554848889003897, 1.225040483989166, -2.1212569789706817, -4.428421441445944, -5.686229122860292, -5.928970234359738, -5.232516759156758, -3.7095548316491658, -1.5032180324599984, 1.2209231812607169, 4.283639558630865, 7.501119215094859, 10.693921225712428, 13.695356969554727, 16.358892206944073, 18.56435005681337, 20.222767788190254, 21.278847038037657, 21.711583781530763, 21.533139901653122, 20.786021978289526, 19.53879847683587, 17.88067929718594, 15.915299317679622, 13.754109407179971, 11.50939714898235, 9.287917082652166, 7.185331549109418, 5.281671325266264, 3.6380277542464894, 2.2945940724022456, 1.2700972278315394, 0.5625931829547655, 0.15161755270744523, 0.001280728136916437, 0.06407867713114036, 0.28515168682409237, 0.6066861450771375, 0.9721649846010295, 1.330227008127667, 1.6379428130334672, 1.8630402831889867, 1.9851887531518675, 1.996343176249721, 1.900160100286739, 1.710581766071181, 1.44973755000552, 1.145363678383149, 0.8279317512347554, 0.5276506581803768, 0.2717327766765948, 0.08231574263786536, -0.02512518712767744, -0.042792472284606864, 0.029084564991216318, 0.1825768886269059, 0.4030448590174927, 0.6704089777168175, 0.9609213448104351, 1.2493406887887177, 1.5111632534036492, 1.7247245923633128, 1.872994699104961, 1.9453701957228968, 1.9396341559328425, 1.860117443497329, 1.7162043130522064, 1.521059296143714, 1.2902560563752123], 'positive_zeros': ['0.36888289924507259664087467195513', '0.47509649146166903336571070910927', '0.56006473139472308493909671056178', '0.59146369806927440250452264529848', '0.807133543343497993372000165723743', '0.983878420232591295657335447187505', '1.14884792375178383344801016190313', '1.47834099910361017075999504871328', '1.59030735987841178139386653254492', '1.69678880257147556323904755680032', '1.79080821953127293385960464746030', '1.80901281345292221085470937463423', '2.22533892996369667379036589032354', '2.22887168477300029850118123727997', '2.24972894538789046472460918090912', '2.60968081231717799704858326995154', '2.65670989075033562603567888800282', '2.92319217425504110822603056912108', '3.09276178305079768419663398661342', '3.36305665104416248127961615640317', '3.52534545507026369945491233549311', '3.58670327736621200527163270118079', '3.60937052124579437279199746163973', '3.67450135568525205193518487456677', '3.90458636026905220803120738911910', '4.21223663932762439533517219021109', '4.22984552967165552012042898577677', '4.23424862164212764585659325676180', '4.28043465467541760506844085575993', '4.35844636948417491593736125408154', '4.39952360011518983748799452500338', '4.50919853439583452482543824739230', '4.85179999782983522438846966953415', '4.94939276830684712103642931251993', '4.98247156281963945267549344676098', '5.04146713000238500582752919980527', '5.12676978755460206469329976659695', '5.17603007417575509697511783191678', '5.20293871628753033906838984967718', '5.58634779304436625833057777723950', '5.71330833752122709109604134691054', '5.71565335288668712492348143834303', '5.80497315401485412832152383364943', '5.96169586029042691433341179440165', '5.97702098799257871085606062883213', '6.05790764408037266222091762968838', '6.32094479800245635144797047903090', '6.33373242326313554291353086860396', '6.37639125366302983984504504132931', '6.39905280928136446165861319993271', '6.46239491474346456039077817010590', '6.65948518864007495867065960066833', '6.74981967358628707902189097714662', '6.78137225053746667201585199837995', '6.92134943470379853560250713442649', '7.02441396769026532923021784991702', '7.10045181058122359229682942545723', '7.13778644819628050285745915288676', '7.17484478844436167389880537214443', '7.54836464253465057287720286816186', '7.63022892143888121680143117718550', '7.67458491261962899226467640778282', '7.84099132036866466691146849338408', '7.894379646578534421335950158219467', '8.050416247444358702929420850644995', '8.053384088735191403197814743325146', '8.219734998988752636574827333460301', '8.278796696069314069774650178296443', '8.287617189628156252583816964597223', '8.405350027428219316928162443420143', '8.464313309952598701659844387715038', '8.605399252045845084919470058411704', '8.786659327171227700187131895866895', '8.920420652755495306587698436555194', '9.054443128455907529195349297511955', '9.063794477476051403785574609986512', '9.084181927340036589792838591765722', '9.147530676922451589239639638887613', '9.218169936895908471074162013214083', '9.409590795301012141403926640534968'], 'prelabel': '16-2175e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.167428756395062, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e8-0', 'trace_hash': 1542605373593709549, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.36888289924507259664087467196', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.47509649146166903336571070911', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.56006473139472308493909671056', 'prec': 103}}
