Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,4,Mod(3,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.p (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.31623684071\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 3.9 | ||
Character | \(\chi\) | \(=\) | 124.3 |
Dual form | 124.4.p.a.83.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.41499 | − | 1.47235i | −0.853830 | − | 0.520553i | ||||
\(3\) | 0.915780 | − | 8.71306i | 0.176242 | − | 1.67683i | −0.446794 | − | 0.894637i | \(-0.647434\pi\) |
0.623036 | − | 0.782193i | \(-0.285899\pi\) | |||||||
\(4\) | 3.66440 | + | 7.11141i | 0.458050 | + | 0.888927i | ||||
\(5\) | 0.646337 | − | 1.11949i | 0.0578102 | − | 0.100130i | −0.835672 | − | 0.549229i | \(-0.814922\pi\) |
0.893482 | + | 0.449099i | \(0.148255\pi\) | |||||||
\(6\) | −15.0402 | + | 19.6937i | −1.02336 | + | 1.33998i | ||||
\(7\) | −1.72916 | − | 8.13508i | −0.0933661 | − | 0.439253i | −0.999855 | − | 0.0170234i | \(-0.994581\pi\) |
0.906489 | − | 0.422229i | \(-0.138752\pi\) | |||||||
\(8\) | 1.62096 | − | 22.5693i | 0.0716369 | − | 0.997431i | ||||
\(9\) | −48.6688 | − | 10.3449i | −1.80255 | − | 0.383144i | ||||
\(10\) | −3.20918 | + | 1.75193i | −0.101483 | + | 0.0554008i | ||||
\(11\) | −27.5250 | − | 30.5696i | −0.754464 | − | 0.837917i | 0.236558 | − | 0.971617i | \(-0.423981\pi\) |
−0.991022 | + | 0.133701i | \(0.957314\pi\) | |||||||
\(12\) | 65.3180 | − | 25.4156i | 1.57131 | − | 0.611405i | ||||
\(13\) | −2.11972 | − | 4.76096i | −0.0452233 | − | 0.101573i | 0.889521 | − | 0.456894i | \(-0.151038\pi\) |
−0.934744 | + | 0.355321i | \(0.884372\pi\) | |||||||
\(14\) | −7.80172 | + | 22.1921i | −0.148936 | + | 0.423649i | ||||
\(15\) | −9.16228 | − | 6.65678i | −0.157713 | − | 0.114585i | ||||
\(16\) | −37.1444 | + | 52.1181i | −0.580381 | + | 0.814345i | ||||
\(17\) | 17.0187 | + | 15.3237i | 0.242802 | + | 0.218620i | 0.781543 | − | 0.623852i | \(-0.214433\pi\) |
−0.538741 | + | 0.842472i | \(0.681100\pi\) | |||||||
\(18\) | 102.304 | + | 96.6401i | 1.33962 | + | 1.26546i | ||||
\(19\) | −21.4295 | + | 48.1314i | −0.258751 | + | 0.581163i | −0.995474 | − | 0.0950305i | \(-0.969705\pi\) |
0.736724 | + | 0.676194i | \(0.236372\pi\) | |||||||
\(20\) | 10.3296 | + | 0.494119i | 0.115488 | + | 0.00552442i | ||||
\(21\) | −72.4650 | + | 7.61637i | −0.753007 | + | 0.0791442i | ||||
\(22\) | 21.4637 | + | 114.352i | 0.208003 | + | 1.10818i | ||||
\(23\) | 15.5395 | + | 47.8256i | 0.140878 | + | 0.433579i | 0.996458 | − | 0.0840921i | \(-0.0267990\pi\) |
−0.855580 | + | 0.517671i | \(0.826799\pi\) | |||||||
\(24\) | −195.163 | − | 34.7920i | −1.65990 | − | 0.295912i | ||||
\(25\) | 61.6645 | + | 106.806i | 0.493316 | + | 0.854448i | ||||
\(26\) | −1.89068 | + | 14.6186i | −0.0142612 | + | 0.110267i | ||||
\(27\) | −61.6079 | + | 189.610i | −0.439128 | + | 1.35150i | ||||
\(28\) | 51.5155 | − | 42.1069i | 0.347697 | − | 0.284195i | ||||
\(29\) | −87.6838 | − | 120.686i | −0.561465 | − | 0.772790i | 0.430047 | − | 0.902806i | \(-0.358497\pi\) |
−0.991512 | + | 0.130017i | \(0.958497\pi\) | |||||||
\(30\) | 12.3258 | + | 29.5661i | 0.0750122 | + | 0.179934i | ||||
\(31\) | 17.9020 | − | 171.670i | 0.103719 | − | 0.994607i | ||||
\(32\) | 166.439 | − | 71.1755i | 0.919456 | − | 0.393193i | ||||
\(33\) | −291.562 | + | 211.832i | −1.53801 | + | 1.11743i | ||||
\(34\) | −18.5382 | − | 62.0639i | −0.0935082 | − | 0.313055i | ||||
\(35\) | −10.2248 | − | 3.32222i | −0.0493800 | − | 0.0160445i | ||||
\(36\) | −104.775 | − | 384.012i | −0.485070 | − | 1.77783i | ||||
\(37\) | −352.803 | + | 203.691i | −1.56758 | + | 0.905043i | −0.571130 | + | 0.820859i | \(0.693495\pi\) |
−0.996450 | + | 0.0841835i | \(0.973172\pi\) | |||||||
\(38\) | 122.618 | − | 84.6855i | 0.523455 | − | 0.361521i | ||||
\(39\) | −43.4237 | + | 14.1092i | −0.178291 | + | 0.0579304i | ||||
\(40\) | −24.2184 | − | 16.4020i | −0.0957316 | − | 0.0648347i | ||||
\(41\) | −0.709106 | − | 6.74670i | −0.00270107 | − | 0.0256989i | 0.993088 | − | 0.117369i | \(-0.0374461\pi\) |
−0.995789 | + | 0.0916703i | \(0.970779\pi\) | |||||||
\(42\) | 186.216 | + | 88.2999i | 0.684138 | + | 0.324404i | ||||
\(43\) | 109.328 | + | 48.6758i | 0.387728 | + | 0.172628i | 0.591337 | − | 0.806425i | \(-0.298600\pi\) |
−0.203609 | + | 0.979052i | \(0.565267\pi\) | |||||||
\(44\) | 116.531 | − | 307.761i | 0.399265 | − | 1.05447i | ||||
\(45\) | −43.0375 | + | 47.7979i | −0.142570 | + | 0.158340i | ||||
\(46\) | 32.8880 | − | 138.378i | 0.105415 | − | 0.443537i | ||||
\(47\) | 298.012 | − | 410.178i | 0.924883 | − | 1.27299i | −0.0369389 | − | 0.999318i | \(-0.511761\pi\) |
0.961822 | − | 0.273675i | \(-0.0882393\pi\) | |||||||
\(48\) | 420.092 | + | 371.370i | 1.26323 | + | 1.11672i | ||||
\(49\) | 250.157 | − | 111.377i | 0.729320 | − | 0.324714i | ||||
\(50\) | 8.33598 | − | 348.727i | 0.0235777 | − | 0.986350i | ||||
\(51\) | 149.101 | − | 134.252i | 0.409380 | − | 0.368607i | ||||
\(52\) | 26.0897 | − | 32.5202i | 0.0695767 | − | 0.0867258i | ||||
\(53\) | 21.4680 | − | 100.999i | 0.0556389 | − | 0.261760i | −0.941532 | − | 0.336922i | \(-0.890614\pi\) |
0.997171 | + | 0.0751619i | \(0.0239474\pi\) | |||||||
\(54\) | 427.954 | − | 367.198i | 1.07847 | − | 0.925359i | ||||
\(55\) | −52.0128 | + | 11.0557i | −0.127516 | + | 0.0271044i | ||||
\(56\) | −186.406 | + | 25.8394i | −0.444813 | + | 0.0616595i | ||||
\(57\) | 399.747 | + | 230.794i | 0.928909 | + | 0.536306i | ||||
\(58\) | 34.0638 | + | 420.558i | 0.0771172 | + | 0.952103i | ||||
\(59\) | −385.405 | − | 40.5077i | −0.850432 | − | 0.0893840i | −0.330723 | − | 0.943728i | \(-0.607293\pi\) |
−0.519708 | + | 0.854344i | \(0.673959\pi\) | |||||||
\(60\) | 13.7649 | − | 89.5498i | 0.0296174 | − | 0.192681i | ||||
\(61\) | − | 284.985i | − | 0.598173i | −0.954226 | − | 0.299086i | \(-0.903318\pi\) | ||
0.954226 | − | 0.299086i | \(-0.0966818\pi\) | |||||||
\(62\) | −295.990 | + | 388.224i | −0.606304 | + | 0.795233i | ||||
\(63\) | 413.812i | 0.827547i | ||||||||
\(64\) | −506.745 | − | 73.1677i | −0.989736 | − | 0.142906i | ||||
\(65\) | −6.69990 | − | 0.704187i | −0.0127849 | − | 0.00134375i | ||||
\(66\) | 1016.01 | − | 82.2935i | 1.89488 | − | 0.153479i | ||||
\(67\) | −629.247 | − | 363.296i | −1.14738 | − | 0.662443i | −0.199136 | − | 0.979972i | \(-0.563814\pi\) |
−0.948249 | + | 0.317529i | \(0.897147\pi\) | |||||||
\(68\) | −46.6098 | + | 177.179i | −0.0831216 | + | 0.315972i | ||||
\(69\) | 430.938 | − | 91.5987i | 0.751867 | − | 0.159814i | ||||
\(70\) | 19.8013 | + | 23.0775i | 0.0338100 | + | 0.0394042i | ||||
\(71\) | 162.252 | − | 763.337i | 0.271208 | − | 1.27594i | −0.605861 | − | 0.795571i | \(-0.707171\pi\) |
0.877069 | − | 0.480364i | \(-0.159496\pi\) | |||||||
\(72\) | −312.367 | + | 1081.65i | −0.511288 | + | 1.77047i | ||||
\(73\) | 6.35617 | − | 5.72312i | 0.0101909 | − | 0.00917589i | −0.664019 | − | 0.747715i | \(-0.731151\pi\) |
0.674210 | + | 0.738539i | \(0.264484\pi\) | |||||||
\(74\) | 1151.92 | + | 27.5355i | 1.80957 | + | 0.0432559i | ||||
\(75\) | 987.079 | − | 439.476i | 1.51971 | − | 0.676617i | ||||
\(76\) | −420.808 | + | 23.9787i | −0.635132 | + | 0.0361914i | ||||
\(77\) | −201.091 | + | 276.778i | −0.297616 | + | 0.409633i | ||||
\(78\) | 125.642 | + | 29.8610i | 0.182386 | + | 0.0433474i | ||||
\(79\) | −717.996 | + | 797.415i | −1.02254 | + | 1.13565i | −0.0318550 | + | 0.999492i | \(0.510141\pi\) |
−0.990687 | + | 0.136156i | \(0.956525\pi\) | |||||||
\(80\) | 34.3378 | + | 75.2686i | 0.0479886 | + | 0.105191i | ||||
\(81\) | 368.392 | + | 164.019i | 0.505338 | + | 0.224991i | ||||
\(82\) | −8.22098 | + | 17.3373i | −0.0110714 | + | 0.0233486i | ||||
\(83\) | −152.918 | − | 1454.92i | −0.202228 | − | 1.92408i | −0.353220 | − | 0.935540i | \(-0.614913\pi\) |
0.150991 | − | 0.988535i | \(-0.451753\pi\) | |||||||
\(84\) | −319.704 | − | 487.419i | −0.415268 | − | 0.633116i | ||||
\(85\) | 28.1545 | − | 9.14794i | 0.0359268 | − | 0.0116733i | ||||
\(86\) | −192.358 | − | 278.520i | −0.241192 | − | 0.349228i | ||||
\(87\) | −1131.85 | + | 653.472i | −1.39479 | + | 0.805282i | ||||
\(88\) | −734.551 | + | 571.667i | −0.889811 | + | 0.692499i | ||||
\(89\) | 816.245 | + | 265.214i | 0.972155 | + | 0.315872i | 0.751685 | − | 0.659522i | \(-0.229241\pi\) |
0.220469 | + | 0.975394i | \(0.429241\pi\) | |||||||
\(90\) | 174.310 | − | 52.0657i | 0.204155 | − | 0.0609801i | ||||
\(91\) | −35.0654 | + | 25.4765i | −0.0403940 | + | 0.0293480i | ||||
\(92\) | −283.165 | + | 285.760i | −0.320891 | + | 0.323831i | ||||
\(93\) | −1479.38 | − | 313.193i | −1.64951 | − | 0.349210i | ||||
\(94\) | −1323.62 | + | 551.802i | −1.45235 | + | 0.605468i | ||||
\(95\) | 40.0319 | + | 55.0992i | 0.0432336 | + | 0.0595059i | ||||
\(96\) | −467.735 | − | 1515.38i | −0.497271 | − | 1.61107i | ||||
\(97\) | 340.910 | − | 1049.21i | 0.356847 | − | 1.09826i | −0.598083 | − | 0.801434i | \(-0.704071\pi\) |
0.954931 | − | 0.296829i | \(-0.0959293\pi\) | |||||||
\(98\) | −768.112 | − | 99.3424i | −0.791745 | − | 0.102399i | ||||
\(99\) | 1023.37 | + | 1772.53i | 1.03891 | + | 1.79945i | ||||
\(100\) | −533.579 | + | 829.901i | −0.533579 | + | 0.829901i | ||||
\(101\) | −603.980 | − | 1858.86i | −0.595033 | − | 1.83132i | −0.554564 | − | 0.832141i | \(-0.687115\pi\) |
−0.0404686 | − | 0.999181i | \(-0.512885\pi\) | |||||||
\(102\) | −557.744 | + | 104.688i | −0.541420 | + | 0.101624i | ||||
\(103\) | −541.587 | + | 56.9230i | −0.518098 | + | 0.0544543i | −0.359969 | − | 0.932964i | \(-0.617213\pi\) |
−0.158129 | + | 0.987418i | \(0.550546\pi\) | |||||||
\(104\) | −110.887 | + | 40.1231i | −0.104552 | + | 0.0378308i | ||||
\(105\) | −38.3104 | + | 86.0465i | −0.0356067 | + | 0.0799741i | ||||
\(106\) | −200.551 | + | 212.304i | −0.183766 | + | 0.194536i | ||||
\(107\) | 1131.31 | + | 1018.63i | 1.02213 | + | 0.920326i | 0.996846 | − | 0.0793541i | \(-0.0252858\pi\) |
0.0252794 | + | 0.999680i | \(0.491952\pi\) | |||||||
\(108\) | −1574.15 | + | 256.686i | −1.40252 | + | 0.228700i | ||||
\(109\) | 519.282 | + | 377.280i | 0.456314 | + | 0.331531i | 0.792083 | − | 0.610413i | \(-0.208996\pi\) |
−0.335770 | + | 0.941944i | \(0.608996\pi\) | |||||||
\(110\) | 141.888 | + | 49.8814i | 0.122987 | + | 0.0432364i | ||||
\(111\) | 1451.68 | + | 3260.53i | 1.24133 | + | 2.78807i | ||||
\(112\) | 488.213 | + | 212.052i | 0.411891 | + | 0.178902i | ||||
\(113\) | 1159.79 | + | 1288.07i | 0.965519 | + | 1.07232i | 0.997345 | + | 0.0728237i | \(0.0232010\pi\) |
−0.0318262 | + | 0.999493i | \(0.510132\pi\) | |||||||
\(114\) | −625.579 | − | 1145.93i | −0.513954 | − | 0.941460i | ||||
\(115\) | 63.5840 | + | 13.5152i | 0.0515586 | + | 0.0109591i | ||||
\(116\) | 536.943 | − | 1065.80i | 0.429775 | − | 0.853077i | ||||
\(117\) | 53.9125 | + | 253.638i | 0.0426001 | + | 0.200418i | ||||
\(118\) | 871.110 | + | 665.275i | 0.679595 | + | 0.519013i | ||||
\(119\) | 95.2312 | − | 164.945i | 0.0733599 | − | 0.127063i | ||||
\(120\) | −165.090 | + | 195.996i | −0.125589 | + | 0.149099i | ||||
\(121\) | −37.7480 | + | 359.148i | −0.0283606 | + | 0.269833i | ||||
\(122\) | −419.596 | + | 688.236i | −0.311380 | + | 0.510737i | ||||
\(123\) | −59.4338 | −0.0435688 | ||||||||
\(124\) | 1286.41 | − | 501.758i | 0.931641 | − | 0.363381i | ||||
\(125\) | 321.009 | 0.229695 | ||||||||
\(126\) | 609.275 | − | 999.355i | 0.430782 | − | 0.706584i | ||||
\(127\) | −27.6459 | + | 263.033i | −0.0193163 | + | 0.183783i | −0.999926 | − | 0.0121900i | \(-0.996120\pi\) |
0.980609 | + | 0.195973i | \(0.0627864\pi\) | |||||||
\(128\) | 1116.06 | + | 922.803i | 0.770676 | + | 0.637227i | ||||
\(129\) | 524.236 | − | 908.003i | 0.357801 | − | 0.619730i | ||||
\(130\) | 15.1434 | + | 11.5652i | 0.0102166 | + | 0.00780256i | ||||
\(131\) | −457.195 | − | 2150.93i | −0.304926 | − | 1.43456i | −0.817504 | − | 0.575923i | \(-0.804643\pi\) |
0.512579 | − | 0.858640i | \(-0.328690\pi\) | |||||||
\(132\) | −2574.82 | − | 1297.18i | −1.69780 | − | 0.855341i | ||||
\(133\) | 428.608 | + | 91.1034i | 0.279436 | + | 0.0593960i | ||||
\(134\) | 984.731 | + | 1803.83i | 0.634835 | + | 1.16289i | ||||
\(135\) | 172.447 | + | 191.521i | 0.109940 | + | 0.122100i | ||||
\(136\) | 373.431 | − | 359.260i | 0.235452 | − | 0.226517i | ||||
\(137\) | 969.830 | + | 2178.27i | 0.604804 | + | 1.35841i | 0.913339 | + | 0.407199i | \(0.133494\pi\) |
−0.308536 | + | 0.951213i | \(0.599839\pi\) | |||||||
\(138\) | −1175.58 | − | 413.279i | −0.725158 | − | 0.254932i | ||||
\(139\) | 1780.39 | + | 1293.53i | 1.08641 | + | 0.789321i | 0.978789 | − | 0.204871i | \(-0.0656776\pi\) |
0.107618 | + | 0.994192i | \(0.465678\pi\) | |||||||
\(140\) | −13.8419 | − | 84.8864i | −0.00835607 | − | 0.0512444i | ||||
\(141\) | −3301.00 | − | 2972.23i | −1.97159 | − | 1.77523i | ||||
\(142\) | −1515.73 | + | 1604.56i | −0.895757 | + | 0.948253i | ||||
\(143\) | −87.1955 | + | 195.844i | −0.0509906 | + | 0.114527i | ||||
\(144\) | 2346.93 | − | 2152.27i | 1.35818 | − | 1.24553i | ||||
\(145\) | −191.780 | + | 20.1569i | −0.109838 | + | 0.0115444i | ||||
\(146\) | −23.7765 | + | 4.46283i | −0.0134778 | + | 0.00252977i | ||||
\(147\) | −741.346 | − | 2281.63i | −0.415953 | − | 1.28017i | ||||
\(148\) | −2741.34 | − | 1762.52i | −1.52255 | − | 0.978909i | ||||
\(149\) | 299.723 | + | 519.136i | 0.164794 | + | 0.285431i | 0.936582 | − | 0.350448i | \(-0.113971\pi\) |
−0.771788 | + | 0.635880i | \(0.780637\pi\) | |||||||
\(150\) | −3030.85 | − | 391.989i | −1.64979 | − | 0.213372i | ||||
\(151\) | 514.129 | − | 1582.33i | 0.277081 | − | 0.852768i | −0.711580 | − | 0.702605i | \(-0.752020\pi\) |
0.988661 | − | 0.150163i | \(-0.0479798\pi\) | |||||||
\(152\) | 1051.55 | + | 561.667i | 0.561134 | + | 0.299718i | ||||
\(153\) | −669.756 | − | 921.841i | −0.353899 | − | 0.487101i | ||||
\(154\) | 893.146 | − | 372.342i | 0.467349 | − | 0.194832i | ||||
\(155\) | −180.612 | − | 130.998i | −0.0935941 | − | 0.0678838i | ||||
\(156\) | −259.458 | − | 257.102i | −0.133162 | − | 0.131953i | ||||
\(157\) | 1430.52 | − | 1039.34i | 0.727186 | − | 0.528332i | −0.161486 | − | 0.986875i | \(-0.551629\pi\) |
0.888672 | + | 0.458543i | \(0.151629\pi\) | |||||||
\(158\) | 2908.03 | − | 868.615i | 1.46424 | − | 0.437363i | ||||
\(159\) | −860.352 | − | 279.545i | −0.429122 | − | 0.139430i | ||||
\(160\) | 27.8957 | − | 232.330i | 0.0137835 | − | 0.114796i | ||||
\(161\) | 362.194 | − | 209.113i | 0.177298 | − | 0.102363i | ||||
\(162\) | −648.172 | − | 938.504i | −0.314353 | − | 0.455159i | ||||
\(163\) | −2512.47 | + | 816.350i | −1.20731 | + | 0.392279i | −0.842446 | − | 0.538781i | \(-0.818885\pi\) |
−0.364865 | + | 0.931060i | \(0.618885\pi\) | |||||||
\(164\) | 45.3801 | − | 29.7653i | 0.0216073 | − | 0.0141724i | ||||
\(165\) | 48.6964 | + | 463.315i | 0.0229758 | + | 0.218600i | ||||
\(166\) | −1772.85 | + | 3738.77i | −0.828914 | + | 1.74810i | ||||
\(167\) | −1868.06 | − | 831.712i | −0.865596 | − | 0.385388i | −0.0746030 | − | 0.997213i | \(-0.523769\pi\) |
−0.790993 | + | 0.611825i | \(0.790436\pi\) | |||||||
\(168\) | 54.4334 | + | 1647.83i | 0.0249978 | + | 0.756742i | ||||
\(169\) | 1451.91 | − | 1612.51i | 0.660859 | − | 0.733958i | ||||
\(170\) | −81.4618 | − | 19.3609i | −0.0367520 | − | 0.00873478i | ||||
\(171\) | 1540.86 | − | 2120.81i | 0.689079 | − | 0.948436i | ||||
\(172\) | 54.4662 | + | 955.842i | 0.0241454 | + | 0.423734i | ||||
\(173\) | 656.295 | − | 292.201i | 0.288423 | − | 0.128414i | −0.257425 | − | 0.966298i | \(-0.582874\pi\) |
0.545848 | + | 0.837884i | \(0.316207\pi\) | |||||||
\(174\) | 3695.54 | + | 88.3382i | 1.61010 | + | 0.0384879i | ||||
\(175\) | 762.247 | − | 686.330i | 0.329260 | − | 0.296467i | ||||
\(176\) | 2615.63 | − | 299.061i | 1.12023 | − | 0.128083i | ||||
\(177\) | −705.892 | + | 3320.96i | −0.299763 | + | 1.41028i | ||||
\(178\) | −1580.74 | − | 1842.28i | −0.665626 | − | 0.775759i | ||||
\(179\) | 970.963 | − | 206.385i | 0.405437 | − | 0.0861783i | −0.000679205 | − | 1.00000i | \(-0.500216\pi\) |
0.406116 | + | 0.913822i | \(0.366883\pi\) | |||||||
\(180\) | −497.617 | − | 130.906i | −0.206057 | − | 0.0542066i | ||||
\(181\) | 1459.30 | + | 842.530i | 0.599278 | + | 0.345993i | 0.768757 | − | 0.639541i | \(-0.220875\pi\) |
−0.169480 | + | 0.985534i | \(0.554209\pi\) | |||||||
\(182\) | 122.193 | − | 9.89724i | 0.0497668 | − | 0.00403095i | ||||
\(183\) | −2483.09 | − | 260.983i | −1.00303 | − | 0.105423i | ||||
\(184\) | 1104.58 | − | 273.192i | 0.442557 | − | 0.109456i | ||||
\(185\) | 526.612i | 0.209283i | ||||||||
\(186\) | 3111.56 | + | 2934.51i | 1.22661 | + | 1.15682i | ||||
\(187\) | − | 942.038i | − | 0.368388i | ||||||
\(188\) | 4008.98 | + | 616.230i | 1.55524 | + | 0.239060i | ||||
\(189\) | 1649.02 | + | 173.319i | 0.634648 | + | 0.0667042i | ||||
\(190\) | −15.5518 | − | 192.005i | −0.00593813 | − | 0.0733132i | ||||
\(191\) | −903.862 | − | 521.845i | −0.342414 | − | 0.197693i | 0.318925 | − | 0.947780i | \(-0.396678\pi\) |
−0.661339 | + | 0.750087i | \(0.730012\pi\) | |||||||
\(192\) | −1101.58 | + | 4348.29i | −0.414062 | + | 1.63443i | ||||
\(193\) | 2584.44 | − | 549.340i | 0.963897 | − | 0.204883i | 0.301026 | − | 0.953616i | \(-0.402671\pi\) |
0.662871 | + | 0.748733i | \(0.269338\pi\) | |||||||
\(194\) | −2368.10 | + | 2031.91i | −0.876391 | + | 0.751972i | ||||
\(195\) | −12.2713 | + | 57.7317i | −0.00450648 | + | 0.0212013i | ||||
\(196\) | 1708.72 | + | 1370.84i | 0.622712 | + | 0.499577i | ||||
\(197\) | −1541.50 | + | 1387.97i | −0.557499 | + | 0.501974i | −0.899024 | − | 0.437898i | \(-0.855723\pi\) |
0.341526 | + | 0.939872i | \(0.389056\pi\) | |||||||
\(198\) | 138.342 | − | 5787.40i | 0.0496542 | − | 2.07724i | ||||
\(199\) | −1993.82 | + | 887.707i | −0.710243 | + | 0.316220i | −0.729869 | − | 0.683587i | \(-0.760419\pi\) |
0.0196263 | + | 0.999807i | \(0.493752\pi\) | |||||||
\(200\) | 2510.49 | − | 1218.60i | 0.887593 | − | 0.430838i | ||||
\(201\) | −3741.67 | + | 5149.97i | −1.31302 | + | 1.80722i | ||||
\(202\) | −1278.28 | + | 5378.41i | −0.445243 | + | 1.87338i | ||||
\(203\) | −830.173 | + | 922.001i | −0.287028 | + | 0.318777i | ||||
\(204\) | 1501.08 | + | 568.371i | 0.515181 | + | 0.195068i | ||||
\(205\) | −8.01118 | − | 3.56681i | −0.00272939 | − | 0.00121520i | ||||
\(206\) | 1391.74 | + | 659.934i | 0.470714 | + | 0.223203i | ||||
\(207\) | −261.538 | − | 2488.37i | −0.0878172 | − | 0.835524i | ||||
\(208\) | 326.868 | + | 66.3674i | 0.108962 | + | 0.0221238i | ||||
\(209\) | 2061.20 | − | 669.726i | 0.682184 | − | 0.221655i | ||||
\(210\) | 219.209 | − | 151.396i | 0.0720328 | − | 0.0497490i | ||||
\(211\) | 1254.28 | − | 724.158i | 0.409233 | − | 0.236271i | −0.281227 | − | 0.959641i | \(-0.590742\pi\) |
0.690460 | + | 0.723371i | \(0.257408\pi\) | |||||||
\(212\) | 796.914 | − | 217.433i | 0.258171 | − | 0.0704404i | ||||
\(213\) | −6502.41 | − | 2112.76i | −2.09173 | − | 0.679644i | ||||
\(214\) | −1232.32 | − | 4125.67i | −0.393643 | − | 1.31787i | ||||
\(215\) | 125.155 | − | 90.9302i | 0.0396999 | − | 0.0288437i | ||||
\(216\) | 4179.49 | + | 1697.80i | 1.31657 | + | 0.534817i | ||||
\(217\) | −1427.50 | + | 151.211i | −0.446568 | + | 0.0473037i | ||||
\(218\) | −698.576 | − | 1675.69i | −0.217035 | − | 0.520607i | ||||
\(219\) | −44.0450 | − | 60.6228i | −0.0135904 | − | 0.0187055i | ||||
\(220\) | −269.217 | − | 329.372i | −0.0825027 | − | 0.100938i | ||||
\(221\) | 36.8807 | − | 113.507i | 0.0112256 | − | 0.0345489i | ||||
\(222\) | 1294.82 | − | 10011.5i | 0.391455 | − | 3.02672i | ||||
\(223\) | 2193.45 | + | 3799.16i | 0.658673 | + | 1.14086i | 0.980959 | + | 0.194213i | \(0.0622153\pi\) |
−0.322286 | + | 0.946642i | \(0.604451\pi\) | |||||||
\(224\) | −866.819 | − | 1230.92i | −0.258557 | − | 0.367163i | ||||
\(225\) | −1896.24 | − | 5836.03i | −0.561850 | − | 1.72920i | ||||
\(226\) | −904.390 | − | 4818.30i | −0.266191 | − | 1.41818i | ||||
\(227\) | 3918.89 | − | 411.892i | 1.14584 | − | 0.120433i | 0.487480 | − | 0.873134i | \(-0.337916\pi\) |
0.658362 | + | 0.752702i | \(0.271250\pi\) | |||||||
\(228\) | −176.440 | + | 3688.49i | −0.0512501 | + | 1.07139i | ||||
\(229\) | −1827.26 | + | 4104.09i | −0.527287 | + | 1.18431i | 0.432000 | + | 0.901874i | \(0.357808\pi\) |
−0.959287 | + | 0.282433i | \(0.908859\pi\) | |||||||
\(230\) | −133.656 | − | 126.257i | −0.0383174 | − | 0.0361962i | ||||
\(231\) | 2227.43 | + | 2005.58i | 0.634433 | + | 0.571246i | ||||
\(232\) | −2865.94 | + | 1783.33i | −0.811026 | + | 0.504662i | ||||
\(233\) | −3592.54 | − | 2610.13i | −1.01011 | − | 0.733887i | −0.0458764 | − | 0.998947i | \(-0.514608\pi\) |
−0.964232 | + | 0.265061i | \(0.914608\pi\) | |||||||
\(234\) | 243.245 | − | 691.913i | 0.0679548 | − | 0.193298i | ||||
\(235\) | −266.574 | − | 598.735i | −0.0739973 | − | 0.166201i | ||||
\(236\) | −1124.21 | − | 2889.21i | −0.310084 | − | 0.796914i | ||||
\(237\) | 6290.40 | + | 6986.20i | 1.72407 | + | 1.91478i | ||||
\(238\) | −472.839 | + | 258.129i | −0.128780 | + | 0.0703025i | ||||
\(239\) | −1494.54 | − | 317.674i | −0.404492 | − | 0.0859774i | 0.00117296 | − | 0.999999i | \(-0.499627\pi\) |
−0.405665 | + | 0.914022i | \(0.632960\pi\) | |||||||
\(240\) | 687.266 | − | 230.258i | 0.184845 | − | 0.0619296i | ||||
\(241\) | −661.005 | − | 3109.78i | −0.176677 | − | 0.831198i | −0.973804 | − | 0.227388i | \(-0.926982\pi\) |
0.797128 | − | 0.603811i | \(-0.206352\pi\) | |||||||
\(242\) | 619.951 | − | 811.762i | 0.164678 | − | 0.215628i | ||||
\(243\) | −924.992 | + | 1602.13i | −0.244190 | + | 0.422950i | ||||
\(244\) | 2026.64 | − | 1044.30i | 0.531732 | − | 0.273993i | ||||
\(245\) | 37.0003 | − | 352.035i | 0.00964843 | − | 0.0917987i | ||||
\(246\) | 143.532 | + | 87.5070i | 0.0372003 | + | 0.0226799i | ||||
\(247\) | 274.576 | 0.0707322 | ||||||||
\(248\) | −3845.45 | − | 682.304i | −0.984621 | − | 0.174703i | ||||
\(249\) | −12816.9 | −3.26199 | ||||||||
\(250\) | −775.234 | − | 472.636i | −0.196120 | − | 0.119568i | ||||
\(251\) | −223.763 | + | 2128.97i | −0.0562702 | + | 0.535375i | 0.929684 | + | 0.368358i | \(0.120080\pi\) |
−0.985954 | + | 0.167017i | \(0.946587\pi\) | |||||||
\(252\) | −2942.79 | + | 1516.37i | −0.735629 | + | 0.379058i | ||||
\(253\) | 1034.29 | − | 1791.43i | 0.257016 | − | 0.445164i | ||||
\(254\) | 454.040 | − | 594.519i | 0.112161 | − | 0.146864i | ||||
\(255\) | −53.9233 | − | 253.689i | −0.0132424 | − | 0.0623005i | ||||
\(256\) | −1336.59 | − | 3871.79i | −0.326316 | − | 0.945261i | ||||
\(257\) | −684.213 | − | 145.434i | −0.166070 | − | 0.0352993i | 0.124126 | − | 0.992266i | \(-0.460387\pi\) |
−0.290196 | + | 0.956967i | \(0.593721\pi\) | |||||||
\(258\) | −2602.92 | + | 1420.97i | −0.628103 | + | 0.342889i | ||||
\(259\) | 2267.10 | + | 2517.87i | 0.543902 | + | 0.604064i | ||||
\(260\) | −19.5433 | − | 50.2261i | −0.00466163 | − | 0.0119804i | ||||
\(261\) | 3018.98 | + | 6780.74i | 0.715978 | + | 1.60811i | ||||
\(262\) | −2062.79 | + | 5867.64i | −0.486411 | + | 1.38360i | ||||
\(263\) | −886.959 | − | 644.414i | −0.207955 | − | 0.151088i | 0.478933 | − | 0.877852i | \(-0.341024\pi\) |
−0.686888 | + | 0.726763i | \(0.741024\pi\) | |||||||
\(264\) | 4308.29 | + | 6923.71i | 1.00438 | + | 1.61411i | ||||
\(265\) | −99.1919 | − | 89.3128i | −0.0229936 | − | 0.0207036i | ||||
\(266\) | −900.950 | − | 851.073i | −0.207672 | − | 0.196175i | ||||
\(267\) | 3058.33 | − | 6869.11i | 0.700998 | − | 1.57447i | ||||
\(268\) | 277.737 | − | 5806.10i | 0.0633040 | − | 1.32337i | ||||
\(269\) | −2300.74 | + | 241.817i | −0.521481 | + | 0.0548099i | −0.361613 | − | 0.932328i | \(-0.617774\pi\) |
−0.159869 | + | 0.987138i | \(0.551107\pi\) | |||||||
\(270\) | −134.472 | − | 716.424i | −0.0303100 | − | 0.161482i | ||||
\(271\) | 1442.55 | + | 4439.70i | 0.323352 | + | 0.995176i | 0.972179 | + | 0.234240i | \(0.0752601\pi\) |
−0.648826 | + | 0.760936i | \(0.724740\pi\) | |||||||
\(272\) | −1430.79 | + | 317.792i | −0.318949 | + | 0.0708417i | ||||
\(273\) | 189.866 | + | 328.858i | 0.0420924 | + | 0.0729062i | ||||
\(274\) | 865.037 | − | 6688.44i | 0.190726 | − | 1.47468i | ||||
\(275\) | 1567.70 | − | 4824.90i | 0.343768 | − | 1.05801i | ||||
\(276\) | 2230.52 | + | 2728.92i | 0.486456 | + | 0.595152i | ||||
\(277\) | 529.456 | + | 728.733i | 0.114844 | + | 0.158070i | 0.862569 | − | 0.505939i | \(-0.168854\pi\) |
−0.747725 | + | 0.664009i | \(0.768854\pi\) | |||||||
\(278\) | −2395.11 | − | 5745.21i | −0.516723 | − | 1.23948i | ||||
\(279\) | −2647.17 | + | 8169.77i | −0.568035 | + | 1.75309i | ||||
\(280\) | −91.5541 | + | 225.380i | −0.0195407 | + | 0.0481037i | ||||
\(281\) | −4047.38 | + | 2940.60i | −0.859241 | + | 0.624275i | −0.927678 | − | 0.373380i | \(-0.878199\pi\) |
0.0684374 | + | 0.997655i | \(0.478199\pi\) | |||||||
\(282\) | 3595.74 | + | 12038.1i | 0.759302 | + | 2.54206i | ||||
\(283\) | 178.203 | + | 57.9016i | 0.0374313 | + | 0.0121622i | 0.327673 | − | 0.944791i | \(-0.393736\pi\) |
−0.290241 | + | 0.956953i | \(0.593736\pi\) | |||||||
\(284\) | 6022.96 | − | 1643.33i | 1.25844 | − | 0.343357i | ||||
\(285\) | 516.743 | − | 298.342i | 0.107401 | − | 0.0620079i | ||||
\(286\) | 498.927 | − | 344.581i | 0.103154 | − | 0.0712430i | ||||
\(287\) | −53.6587 | + | 17.4348i | −0.0110361 | + | 0.00358586i | ||||
\(288\) | −8836.71 | + | 1742.23i | −1.80801 | + | 0.356466i | ||||
\(289\) | −458.728 | − | 4364.51i | −0.0933703 | − | 0.888359i | ||||
\(290\) | 492.827 | + | 233.688i | 0.0997923 | + | 0.0473195i | ||||
\(291\) | −8829.67 | − | 3931.22i | −1.77871 | − | 0.791932i | ||||
\(292\) | 63.9910 | + | 24.2295i | 0.0128246 | + | 0.00485591i | ||||
\(293\) | 994.811 | − | 1104.85i | 0.198353 | − | 0.220294i | −0.635760 | − | 0.771887i | \(-0.719313\pi\) |
0.834113 | + | 0.551593i | \(0.185980\pi\) | |||||||
\(294\) | −1569.00 | + | 6601.63i | −0.311244 | + | 1.30958i | ||||
\(295\) | −294.450 | + | 405.275i | −0.0581136 | + | 0.0799866i | ||||
\(296\) | 4025.28 | + | 8292.69i | 0.790421 | + | 1.62839i | ||||
\(297\) | 7492.05 | − | 3335.68i | 1.46375 | − | 0.651702i | ||||
\(298\) | 40.5174 | − | 1695.01i | 0.00787621 | − | 0.329494i | ||||
\(299\) | 194.756 | − | 175.359i | 0.0376691 | − | 0.0339174i | ||||
\(300\) | 6742.34 | + | 5409.11i | 1.29756 | + | 1.04098i | ||||
\(301\) | 206.936 | − | 973.557i | 0.0396266 | − | 0.186428i | ||||
\(302\) | −3571.35 | + | 3064.33i | −0.680490 | + | 0.583883i | ||||
\(303\) | −16749.5 | + | 3560.21i | −3.17568 | + | 0.675013i | ||||
\(304\) | −1712.53 | − | 2904.67i | −0.323093 | − | 0.548008i | ||||
\(305\) | −319.037 | − | 184.196i | −0.0598951 | − | 0.0345805i | ||||
\(306\) | 260.190 | + | 3212.35i | 0.0486081 | + | 0.600124i | ||||
\(307\) | 9824.41 | + | 1032.59i | 1.82641 | + | 0.191964i | 0.954603 | − | 0.297882i | \(-0.0962803\pi\) |
0.871809 | + | 0.489846i | \(0.162947\pi\) | |||||||
\(308\) | −2705.16 | − | 415.816i | −0.500457 | − | 0.0769264i | ||||
\(309\) | 4771.01i | 0.878360i | ||||||||
\(310\) | 243.303 | + | 582.282i | 0.0445763 | + | 0.106682i | ||||
\(311\) | 2502.05i | 0.456199i | 0.973638 | + | 0.228100i | \(0.0732512\pi\) | ||||
−0.973638 | + | 0.228100i | \(0.926749\pi\) | |||||||
\(312\) | 248.047 | + | 1002.91i | 0.0450093 | + | 0.181983i | ||||
\(313\) | 1601.71 | + | 168.347i | 0.289247 | + | 0.0304010i | 0.248041 | − | 0.968750i | \(-0.420213\pi\) |
0.0412060 | + | 0.999151i | \(0.486880\pi\) | |||||||
\(314\) | −4984.97 | + | 403.766i | −0.895917 | + | 0.0725664i | ||||
\(315\) | 463.259 | + | 267.462i | 0.0828624 | + | 0.0478406i | ||||
\(316\) | −8301.77 | − | 2183.92i | −1.47788 | − | 0.388782i | ||||
\(317\) | 7743.77 | − | 1645.99i | 1.37203 | − | 0.291634i | 0.537810 | − | 0.843066i | \(-0.319252\pi\) |
0.834220 | + | 0.551432i | \(0.185918\pi\) | |||||||
\(318\) | 1666.16 | + | 1941.84i | 0.293816 | + | 0.342430i | ||||
\(319\) | −1275.84 | + | 6002.35i | −0.223929 | + | 1.05350i | ||||
\(320\) | −409.439 | + | 520.005i | −0.0715260 | + | 0.0908411i | ||||
\(321\) | 9911.43 | − | 8924.30i | 1.72337 | − | 1.55173i | ||||
\(322\) | −1182.58 | − | 28.2685i | −0.204667 | − | 0.00489236i | ||||
\(323\) | −1102.25 | + | 490.754i | −0.189879 | + | 0.0845395i | ||||
\(324\) | 183.530 | + | 3220.81i | 0.0314694 | + | 0.552266i | ||||
\(325\) | 377.788 | − | 519.981i | 0.0644797 | − | 0.0887487i | ||||
\(326\) | 7269.55 | + | 1727.74i | 1.23504 | + | 0.293530i | ||||
\(327\) | 3762.82 | − | 4179.03i | 0.636343 | − | 0.706731i | ||||
\(328\) | −153.418 | + | 5.06791i | −0.0258264 | + | 0.000853136i | ||||
\(329\) | −3852.14 | − | 1715.08i | −0.645518 | − | 0.287403i | ||||
\(330\) | 564.558 | − | 1190.60i | 0.0941755 | − | 0.198607i | ||||
\(331\) | −657.083 | − | 6251.73i | −0.109113 | − | 1.03814i | −0.902871 | − | 0.429911i | \(-0.858545\pi\) |
0.793758 | − | 0.608234i | \(-0.208122\pi\) | |||||||
\(332\) | 9786.19 | − | 6418.87i | 1.61773 | − | 1.06109i | ||||
\(333\) | 19277.7 | − | 6263.69i | 3.17240 | − | 1.03078i | ||||
\(334\) | 3286.78 | + | 4759.01i | 0.538457 | + | 0.779644i | ||||
\(335\) | −813.412 | + | 469.624i | −0.132661 | + | 0.0765919i | ||||
\(336\) | 2294.72 | − | 4059.64i | 0.372580 | − | 0.659141i | ||||
\(337\) | 3714.08 | + | 1206.78i | 0.600353 | + | 0.195066i | 0.593398 | − | 0.804909i | \(-0.297786\pi\) |
0.00695491 | + | 0.999976i | \(0.497786\pi\) | |||||||
\(338\) | −5880.51 | + | 1756.48i | −0.946324 | + | 0.282663i | ||||
\(339\) | 12285.2 | − | 8925.71i | 1.96826 | − | 1.43002i | ||||
\(340\) | 168.224 | + | 166.696i | 0.0268330 | + | 0.0265894i | ||||
\(341\) | −5740.63 | + | 4177.95i | −0.911650 | + | 0.663487i | ||||
\(342\) | −6843.74 | + | 2853.07i | −1.08207 | + | 0.451101i | ||||
\(343\) | −3015.38 | − | 4150.31i | −0.474680 | − | 0.653340i | ||||
\(344\) | 1275.79 | − | 2388.55i | 0.199960 | − | 0.374366i | ||||
\(345\) | 175.988 | − | 541.634i | 0.0274633 | − | 0.0845235i | ||||
\(346\) | −2015.17 | − | 260.628i | −0.313110 | − | 0.0404956i | ||||
\(347\) | −3482.75 | − | 6032.31i | −0.538801 | − | 0.933231i | −0.998969 | − | 0.0453992i | \(-0.985544\pi\) |
0.460168 | − | 0.887832i | \(-0.347789\pi\) | |||||||
\(348\) | −8794.65 | − | 5654.45i | −1.35472 | − | 0.871007i | ||||
\(349\) | −2873.52 | − | 8843.80i | −0.440734 | − | 1.35644i | −0.887095 | − | 0.461587i | \(-0.847280\pi\) |
0.446361 | − | 0.894853i | \(-0.352720\pi\) | |||||||
\(350\) | −2851.34 | + | 535.193i | −0.435458 | + | 0.0817351i | ||||
\(351\) | 1033.32 | − | 108.606i | 0.157135 | − | 0.0165155i | ||||
\(352\) | −6757.05 | − | 3128.88i | −1.02316 | − | 0.473778i | ||||
\(353\) | −3325.40 | + | 7468.98i | −0.501398 | + | 1.12616i | 0.468681 | + | 0.883367i | \(0.344729\pi\) |
−0.970079 | + | 0.242790i | \(0.921937\pi\) | |||||||
\(354\) | 6594.33 | − | 6980.79i | 0.990070 | − | 1.04809i | ||||
\(355\) | −749.678 | − | 675.013i | −0.112081 | − | 0.100918i | ||||
\(356\) | 1105.00 | + | 6776.50i | 0.164508 | + | 1.00886i | ||||
\(357\) | −1349.97 | − | 980.808i | −0.200134 | − | 0.145406i | ||||
\(358\) | −2648.74 | − | 931.176i | −0.391034 | − | 0.137470i | ||||
\(359\) | 603.225 | + | 1354.87i | 0.0886824 | + | 0.199184i | 0.952442 | − | 0.304720i | \(-0.0985630\pi\) |
−0.863759 | + | 0.503904i | \(0.831896\pi\) | |||||||
\(360\) | 1009.00 | + | 1048.80i | 0.147720 | + | 0.153547i | ||||
\(361\) | 2732.16 | + | 3034.37i | 0.398332 | + | 0.442392i | ||||
\(362\) | −2283.72 | − | 4183.31i | −0.331573 | − | 0.607375i | ||||
\(363\) | 3094.71 | + | 657.801i | 0.447466 | + | 0.0951118i | ||||
\(364\) | −309.668 | − | 156.009i | −0.0445907 | − | 0.0224645i | ||||
\(365\) | −2.29874 | − | 10.8147i | −0.000329648 | − | 0.00155087i | ||||
\(366\) | 5612.39 | + | 4286.24i | 0.801541 | + | 0.612145i | ||||
\(367\) | 1100.34 | − | 1905.85i | 0.156505 | − | 0.271075i | −0.777101 | − | 0.629376i | \(-0.783310\pi\) |
0.933606 | + | 0.358301i | \(0.116644\pi\) | |||||||
\(368\) | −3069.78 | − | 966.564i | −0.434846 | − | 0.136918i | ||||
\(369\) | −35.2824 | + | 335.689i | −0.00497758 | + | 0.0473585i | ||||
\(370\) | 775.355 | − | 1271.77i | 0.108943 | − | 0.178692i | ||||
\(371\) | −858.758 | −0.120174 | ||||||||
\(372\) | −3193.78 | − | 11668.1i | −0.445133 | − | 1.62625i | ||||
\(373\) | 332.112 | 0.0461021 | 0.0230511 | − | 0.999734i | \(-0.492662\pi\) | ||||
0.0230511 | + | 0.999734i | \(0.492662\pi\) | |||||||
\(374\) | −1387.00 | + | 2275.02i | −0.191766 | + | 0.314541i | ||||
\(375\) | 293.973 | − | 2796.97i | 0.0404819 | − | 0.385160i | ||||
\(376\) | −8774.37 | − | 7390.80i | −1.20347 | − | 1.01370i | ||||
\(377\) | −388.718 | + | 673.280i | −0.0531035 | + | 0.0919779i | ||||
\(378\) | −3727.19 | − | 2846.49i | −0.507158 | − | 0.387322i | ||||
\(379\) | 2541.29 | + | 11955.8i | 0.344425 | + | 1.62039i | 0.720258 | + | 0.693707i | \(0.244024\pi\) |
−0.375832 | + | 0.926688i | \(0.622643\pi\) | |||||||
\(380\) | −245.140 | + | 486.589i | −0.0330932 | + | 0.0656881i | ||||
\(381\) | 2266.51 | + | 481.761i | 0.304768 | + | 0.0647804i | ||||
\(382\) | 1414.49 | + | 2591.05i | 0.189454 | + | 0.347041i | ||||
\(383\) | 4968.04 | + | 5517.56i | 0.662806 | + | 0.736121i | 0.977000 | − | 0.213238i | \(-0.0684009\pi\) |
−0.314194 | + | 0.949359i | \(0.601734\pi\) | |||||||
\(384\) | 9062.51 | − | 8879.20i | 1.20435 | − | 1.17999i | ||||
\(385\) | 179.877 | + | 404.011i | 0.0238114 | + | 0.0534813i | ||||
\(386\) | −7050.23 | − | 2478.54i | −0.929656 | − | 0.326824i | ||||
\(387\) | −4817.30 | − | 3499.98i | −0.632758 | − | 0.459725i | ||||
\(388\) | 8710.63 | − | 1420.38i | 1.13973 | − | 0.185848i | ||||
\(389\) | −6825.06 | − | 6145.32i | −0.889575 | − | 0.800977i | 0.0912584 | − | 0.995827i | \(-0.470911\pi\) |
−0.980833 | + | 0.194851i | \(0.937578\pi\) | |||||||
\(390\) | 114.636 | − | 121.354i | 0.0148842 | − | 0.0157564i | ||||
\(391\) | −468.402 | + | 1052.05i | −0.0605834 | + | 0.136073i | ||||
\(392\) | −2108.20 | − | 5826.39i | −0.271634 | − | 0.750707i | ||||
\(393\) | −19159.9 | + | 2013.79i | −2.45926 | + | 0.258478i | ||||
\(394\) | 5766.28 | − | 1082.33i | 0.737313 | − | 0.138393i | ||||
\(395\) | 428.630 | + | 1319.19i | 0.0545993 | + | 0.168039i | ||||
\(396\) | −8855.15 | + | 13772.9i | −1.12371 | + | 1.74776i | ||||
\(397\) | 6160.54 | + | 10670.4i | 0.778812 | + | 1.34894i | 0.932627 | + | 0.360842i | \(0.117511\pi\) |
−0.153815 | + | 0.988100i | \(0.549156\pi\) | |||||||
\(398\) | 6122.08 | + | 791.788i | 0.771036 | + | 0.0997205i | ||||
\(399\) | 1186.30 | − | 3651.05i | 0.148845 | − | 0.458099i | ||||
\(400\) | −7857.02 | − | 753.410i | −0.982127 | − | 0.0941762i | ||||
\(401\) | 3070.21 | + | 4225.79i | 0.382342 | + | 0.526248i | 0.956203 | − | 0.292704i | \(-0.0945551\pi\) |
−0.573861 | + | 0.818953i | \(0.694555\pi\) | |||||||
\(402\) | 16618.7 | − | 6928.12i | 2.06185 | − | 0.859560i | ||||
\(403\) | −855.260 | + | 278.661i | −0.105716 | + | 0.0344444i | ||||
\(404\) | 11005.9 | − | 11106.8i | 1.35536 | − | 1.36778i | ||||
\(405\) | 421.722 | − | 306.399i | 0.0517421 | − | 0.0375928i | ||||
\(406\) | 3362.37 | − | 1004.33i | 0.411014 | − | 0.122768i | ||||
\(407\) | 15937.7 | + | 5178.46i | 1.94103 | + | 0.630680i | ||||
\(408\) | −2788.27 | − | 3582.73i | −0.338334 | − | 0.434734i | ||||
\(409\) | 10260.7 | − | 5924.00i | 1.24048 | − | 0.716193i | 0.271290 | − | 0.962498i | \(-0.412550\pi\) |
0.969193 | + | 0.246304i | \(0.0792163\pi\) | |||||||
\(410\) | 14.0954 | + | 20.4090i | 0.00169786 | + | 0.00245837i | ||||
\(411\) | 19867.6 | − | 6455.37i | 2.38442 | − | 0.774744i | ||||
\(412\) | −2389.39 | − | 3642.86i | −0.285721 | − | 0.435609i | ||||
\(413\) | 336.895 | + | 3205.34i | 0.0401393 | + | 0.381900i | ||||
\(414\) | −3032.12 | + | 6394.47i | −0.359954 | + | 0.759109i | ||||
\(415\) | −1727.60 | − | 769.179i | −0.204349 | − | 0.0909820i | ||||
\(416\) | −691.668 | − | 641.539i | −0.0815188 | − | 0.0756107i | ||||
\(417\) | 12901.0 | − | 14328.0i | 1.51503 | − | 1.68261i | ||||
\(418\) | −5963.87 | − | 1417.42i | −0.697852 | − | 0.165857i | ||||
\(419\) | −6665.97 | + | 9174.92i | −0.777217 | + | 1.06975i | 0.218366 | + | 0.975867i | \(0.429927\pi\) |
−0.995583 | + | 0.0938810i | \(0.970073\pi\) | |||||||
\(420\) | −752.296 | + | 42.8677i | −0.0874007 | + | 0.00498031i | ||||
\(421\) | 13420.0 | − | 5974.97i | 1.55356 | − | 0.691691i | 0.562713 | − | 0.826652i | \(-0.309757\pi\) |
0.990851 | + | 0.134961i | \(0.0430908\pi\) | |||||||
\(422\) | −4095.29 | − | 97.8937i | −0.472406 | − | 0.0112924i | ||||
\(423\) | −18747.1 | + | 16880.0i | −2.15489 | + | 1.94027i | ||||
\(424\) | −2244.68 | − | 648.234i | −0.257102 | − | 0.0742477i | ||||
\(425\) | −587.213 | + | 2762.62i | −0.0670213 | + | 0.315310i | ||||
\(426\) | 12592.6 | + | 14676.1i | 1.43219 | + | 1.66915i | ||||
\(427\) | −2318.37 | + | 492.785i | −0.262749 | + | 0.0558490i | ||||
\(428\) | −3098.36 | + | 11777.9i | −0.349918 | + | 1.33015i | ||||
\(429\) | 1626.55 | + | 939.090i | 0.183055 | + | 0.105687i | ||||
\(430\) | −436.128 | + | 35.3250i | −0.0489116 | + | 0.00396168i | ||||
\(431\) | −3493.76 | − | 367.209i | −0.390460 | − | 0.0410390i | −0.0927356 | − | 0.995691i | \(-0.529561\pi\) |
−0.297725 | + | 0.954652i | \(0.596228\pi\) | |||||||
\(432\) | −7593.71 | − | 10253.8i | −0.845723 | − | 1.14198i | ||||
\(433\) | 6331.84i | 0.702745i | 0.936236 | + | 0.351373i | \(0.114285\pi\) | ||||
−0.936236 | + | 0.351373i | \(0.885715\pi\) | |||||||
\(434\) | 3670.05 | + | 1736.60i | 0.405917 | + | 0.192073i | ||||
\(435\) | 1689.45i | 0.186214i | ||||||||
\(436\) | −780.142 | + | 5075.33i | −0.0856927 | + | 0.557487i | ||||
\(437\) | −2634.92 | − | 276.941i | −0.288433 | − | 0.0303155i | ||||
\(438\) | 17.1108 | + | 211.253i | 0.00186664 | + | 0.0230458i | ||||
\(439\) | 4683.21 | + | 2703.85i | 0.509152 | + | 0.293959i | 0.732485 | − | 0.680783i | \(-0.238360\pi\) |
−0.223333 | + | 0.974742i | \(0.571694\pi\) | |||||||
\(440\) | 165.208 | + | 1191.81i | 0.0178999 | + | 0.129130i | ||||
\(441\) | −13327.0 | + | 2832.74i | −1.43905 | + | 0.305879i | ||||
\(442\) | −256.188 | + | 219.818i | −0.0275693 | + | 0.0236553i | ||||
\(443\) | −1668.46 | + | 7849.50i | −0.178941 | + | 0.841853i | 0.793475 | + | 0.608602i | \(0.208270\pi\) |
−0.972417 | + | 0.233251i | \(0.925064\pi\) | |||||||
\(444\) | −17867.4 | + | 22271.4i | −1.90980 | + | 2.38053i | ||||
\(445\) | 824.474 | − | 742.359i | 0.0878288 | − | 0.0790814i | ||||
\(446\) | 296.516 | − | 12404.5i | 0.0314808 | − | 1.31697i | ||||
\(447\) | 4797.74 | − | 2136.09i | 0.507663 | − | 0.226026i | ||||
\(448\) | 281.020 | + | 4248.93i | 0.0296361 | + | 0.448087i | ||||
\(449\) | −1676.27 | + | 2307.18i | −0.176187 | + | 0.242501i | −0.887973 | − | 0.459896i | \(-0.847887\pi\) |
0.711786 | + | 0.702397i | \(0.247887\pi\) | |||||||
\(450\) | −4013.24 | + | 16885.9i | −0.420414 | + | 1.76891i | ||||
\(451\) | −186.726 | + | 207.380i | −0.0194957 | + | 0.0216522i | ||||
\(452\) | −4910.11 | + | 12967.7i | −0.510956 | + | 1.34945i | ||||
\(453\) | −13316.1 | − | 5928.70i | −1.38111 | − | 0.614911i | ||||
\(454\) | −10070.6 | − | 4775.25i | −1.04104 | − | 0.493642i | ||||
\(455\) | 5.85660 | + | 55.7218i | 0.000603432 | + | 0.00574127i | ||||
\(456\) | 5856.83 | − | 8647.90i | 0.601472 | − | 0.888103i | ||||
\(457\) | 4106.25 | − | 1334.20i | 0.420311 | − | 0.136567i | −0.0912225 | − | 0.995831i | \(-0.529077\pi\) |
0.511534 | + | 0.859263i | \(0.329077\pi\) | |||||||
\(458\) | 10455.5 | − | 7221.01i | 1.06671 | − | 0.736715i | ||||
\(459\) | −3954.00 | + | 2282.84i | −0.402085 | + | 0.232144i | ||||
\(460\) | 136.885 | + | 501.697i | 0.0138745 | + | 0.0508516i | ||||
\(461\) | −18285.2 | − | 5941.21i | −1.84734 | − | 0.600238i | −0.997293 | − | 0.0735367i | \(-0.976571\pi\) |
−0.850050 | − | 0.526701i | \(-0.823429\pi\) | |||||||
\(462\) | −2426.31 | − | 8123.02i | −0.244334 | − | 0.818002i | ||||
\(463\) | 896.078 | − | 651.039i | 0.0899444 | − | 0.0653485i | −0.541904 | − | 0.840440i | \(-0.682296\pi\) |
0.631849 | + | 0.775092i | \(0.282296\pi\) | |||||||
\(464\) | 9546.90 | − | 87.0892i | 0.955181 | − | 0.00871340i | ||||
\(465\) | −1306.79 | + | 1453.72i | −0.130325 | + | 0.144977i | ||||
\(466\) | 4832.95 | + | 11592.9i | 0.480434 | + | 1.15243i | ||||
\(467\) | 186.455 | + | 256.633i | 0.0184756 | + | 0.0254295i | 0.818155 | − | 0.574998i | \(-0.194997\pi\) |
−0.799679 | + | 0.600427i | \(0.794997\pi\) | |||||||
\(468\) | −1606.17 | + | 1312.83i | −0.158644 | + | 0.129670i | ||||
\(469\) | −1867.37 | + | 5747.17i | −0.183853 | + | 0.565842i | ||||
\(470\) | −237.770 | + | 1838.43i | −0.0233351 | + | 0.180427i | ||||
\(471\) | −7745.76 | − | 13416.0i | −0.757761 | − | 1.31248i | ||||
\(472\) | −1538.96 | + | 8632.65i | −0.150077 | + | 0.841843i | ||||
\(473\) | −1521.24 | − | 4681.91i | −0.147879 | − | 0.455125i | ||||
\(474\) | −4905.19 | − | 26133.3i | −0.475322 | − | 2.53237i | ||||
\(475\) | −6462.16 | + | 679.201i | −0.624220 | + | 0.0656081i | ||||
\(476\) | 1521.96 | + | 72.8034i | 0.146552 | + | 0.00701037i | ||||
\(477\) | −2089.65 | + | 4693.43i | −0.200584 | + | 0.450518i | ||||
\(478\) | 3141.57 | + | 2967.65i | 0.300611 | + | 0.283969i | ||||
\(479\) | −8586.58 | − | 7731.39i | −0.819062 | − | 0.737487i | 0.148827 | − | 0.988863i | \(-0.452450\pi\) |
−0.967889 | + | 0.251376i | \(0.919117\pi\) | |||||||
\(480\) | −1998.76 | − | 455.821i | −0.190064 | − | 0.0433443i | ||||
\(481\) | 1717.61 | + | 1247.91i | 0.162819 | + | 0.118295i | ||||
\(482\) | −2982.35 | + | 8483.34i | −0.281831 | + | 0.801671i | ||||
\(483\) | −1490.32 | − | 3347.32i | −0.140398 | − | 0.315339i | ||||
\(484\) | −2692.37 | + | 1047.62i | −0.252853 | + | 0.0983865i | ||||
\(485\) | −954.241 | − | 1059.79i | −0.0893399 | − | 0.0992220i | ||||
\(486\) | 4592.74 | − | 2507.23i | 0.428665 | − | 0.234013i | ||||
\(487\) | −4074.10 | − | 865.977i | −0.379087 | − | 0.0805774i | 0.0144274 | − | 0.999896i | \(-0.495407\pi\) |
−0.393514 | + | 0.919319i | \(0.628741\pi\) | |||||||
\(488\) | −6431.90 | − | 461.948i | −0.596636 | − | 0.0428512i | ||||
\(489\) | 4812.04 | + | 22638.9i | 0.445006 | + | 2.09359i | ||||
\(490\) | −607.672 | + | 795.685i | −0.0560242 | + | 0.0733579i | ||||
\(491\) | −1770.51 | + | 3066.62i | −0.162733 | + | 0.281862i | −0.935848 | − | 0.352404i | \(-0.885364\pi\) |
0.773115 | + | 0.634266i | \(0.218698\pi\) | |||||||
\(492\) | −217.789 | − | 422.658i | −0.0199567 | − | 0.0387295i | ||||
\(493\) | 357.098 | − | 3397.56i | 0.0326225 | − | 0.310382i | ||||
\(494\) | −663.100 | − | 404.271i | −0.0603933 | − | 0.0368199i | ||||
\(495\) | 2645.77 | 0.240239 | ||||||||
\(496\) | 8282.14 | + | 7309.59i | 0.749756 | + | 0.661714i | ||||
\(497\) | −6490.36 | −0.585780 | ||||||||
\(498\) | 30952.6 | + | 18870.8i | 2.78518 | + | 1.69804i | ||||
\(499\) | 526.385 | − | 5008.22i | 0.0472229 | − | 0.449296i | −0.945206 | − | 0.326475i | \(-0.894139\pi\) |
0.992429 | − | 0.122821i | \(-0.0391941\pi\) | |||||||
\(500\) | 1176.30 | + | 2282.83i | 0.105212 | + | 0.204182i | ||||
\(501\) | −8957.49 | + | 15514.8i | −0.798785 | + | 1.38354i | ||||
\(502\) | 3674.96 | − | 4811.99i | 0.326736 | − | 0.427828i | ||||
\(503\) | −57.6936 | − | 271.427i | −0.00511418 | − | 0.0240603i | 0.975517 | − | 0.219926i | \(-0.0705816\pi\) |
−0.980631 | + | 0.195866i | \(0.937248\pi\) | |||||||
\(504\) | 9339.45 | + | 670.773i | 0.825421 | + | 0.0592829i | ||||
\(505\) | −2471.35 | − | 525.302i | −0.217770 | − | 0.0462883i | ||||
\(506\) | −5135.40 | + | 2803.48i | −0.451179 | + | 0.246304i | ||||
\(507\) | −12720.2 | − | 14127.3i | −1.11425 | − | 1.23750i | ||||
\(508\) | −1971.84 | + | 767.256i | −0.172217 | + | 0.0670108i | ||||
\(509\) | −446.629 | − | 1003.14i | −0.0388929 | − | 0.0873548i | 0.893054 | − | 0.449949i | \(-0.148558\pi\) |
−0.931947 | + | 0.362594i | \(0.881891\pi\) | |||||||
\(510\) | −243.294 | + | 692.052i | −0.0211240 | + | 0.0600874i | ||||
\(511\) | −57.5489 | − | 41.8117i | −0.00498202 | − | 0.00361965i | ||||
\(512\) | −2472.76 | + | 11318.3i | −0.213440 | + | 0.976956i | ||||
\(513\) | −7805.96 | − | 7028.51i | −0.671816 | − | 0.604905i | ||||
\(514\) | 1438.24 | + | 1358.62i | 0.123420 | + | 0.116588i | ||||
\(515\) | −286.323 | + | 643.092i | −0.0244988 | + | 0.0550253i | ||||
\(516\) | 8378.19 | + | 400.773i | 0.714785 | + | 0.0341920i | ||||
\(517\) | −20741.8 | + | 2180.05i | −1.76445 | + | 0.185451i | ||||
\(518\) | −1767.86 | − | 9418.58i | −0.149952 | − | 0.798897i | ||||
\(519\) | −1944.95 | − | 5985.93i | −0.164496 | − | 0.506268i | ||||
\(520\) | −26.7533 | + | 150.070i | −0.00225617 | + | 0.0126558i | ||||
\(521\) | 6233.91 | + | 10797.4i | 0.524208 | + | 0.907956i | 0.999603 | + | 0.0281827i | \(0.00897203\pi\) |
−0.475394 | + | 0.879773i | \(0.657695\pi\) | |||||||
\(522\) | 2692.77 | − | 20820.4i | 0.225784 | − | 1.74576i | ||||
\(523\) | 2682.32 | − | 8255.32i | 0.224263 | − | 0.690211i | −0.774103 | − | 0.633060i | \(-0.781799\pi\) |
0.998366 | − | 0.0571504i | \(-0.0182015\pi\) | |||||||
\(524\) | 13620.8 | − | 11133.2i | 1.13555 | − | 0.928158i | ||||
\(525\) | −5281.99 | − | 7270.03i | −0.439095 | − | 0.604363i | ||||
\(526\) | 1193.20 | + | 2862.17i | 0.0989089 | + | 0.237255i | ||||
\(527\) | 2935.28 | − | 2647.27i | 0.242624 | − | 0.218817i | ||||
\(528\) | −210.396 | − | 23064.0i | −0.0173415 | − | 1.90101i | ||||
\(529\) | 7797.50 | − | 5665.21i | 0.640873 | − | 0.465621i | ||||
\(530\) | 108.049 | + | 361.735i | 0.00885534 | + | 0.0296467i | ||||
\(531\) | 18338.2 | + | 5958.43i | 1.49870 | + | 0.486956i | ||||
\(532\) | 922.715 | + | 3381.85i | 0.0751969 | + | 0.275604i | ||||
\(533\) | −30.6176 | + | 17.6771i | −0.00248818 | + | 0.00143655i | ||||
\(534\) | −17499.5 | + | 12086.0i | −1.41813 | + | 0.979420i | ||||
\(535\) | 1871.55 | − | 608.105i | 0.151242 | − | 0.0491414i | ||||
\(536\) | −9219.32 | + | 13612.8i | −0.742936 | + | 1.09698i | ||||
\(537\) | −909.053 | − | 8649.07i | −0.0730513 | − | 0.695037i | ||||
\(538\) | 5912.31 | + | 2803.49i | 0.473788 | + | 0.224660i | ||||
\(539\) | −10290.3 | − | 4581.54i | −0.822328 | − | 0.366124i | ||||
\(540\) | −730.074 | + | 1928.15i | −0.0581804 | + | 0.153656i | ||||
\(541\) | 11140.3 | − | 12372.5i | 0.885318 | − | 0.983245i | −0.114631 | − | 0.993408i | \(-0.536568\pi\) |
0.999948 | + | 0.0101631i | \(0.00323508\pi\) | |||||||
\(542\) | 3053.03 | − | 12845.8i | 0.241954 | − | 1.01803i | ||||
\(543\) | 8677.42 | − | 11943.4i | 0.685789 | − | 0.943908i | ||||
\(544\) | 3923.24 | + | 1339.15i | 0.309205 | + | 0.105543i | ||||
\(545\) | 757.993 | − | 337.480i | 0.0595759 | − | 0.0265249i | ||||
\(546\) | 25.6667 | − | 1073.74i | 0.00201178 | − | 0.0841608i | ||||
\(547\) | −13782.9 | + | 12410.2i | −1.07736 | + | 0.970060i | −0.999638 | − | 0.0269149i | \(-0.991432\pi\) |
−0.0777231 | + | 0.996975i | \(0.524765\pi\) | |||||||
\(548\) | −11936.8 | + | 14878.9i | −0.930498 | + | 1.15985i | ||||
\(549\) | −2948.13 | + | 13869.9i | −0.229186 | + | 1.07824i | ||||
\(550\) | −10889.9 | + | 9343.89i | −0.844268 | + | 0.724409i | ||||
\(551\) | 7687.82 | − | 1634.10i | 0.594396 | − | 0.126343i | ||||
\(552\) | −1368.78 | − | 9874.44i | −0.105542 | − | 0.761384i | ||||
\(553\) | 7728.57 | + | 4462.09i | 0.594308 | + | 0.343124i | ||||
\(554\) | −205.685 | − | 2539.43i | −0.0157739 | − | 0.194747i | ||||
\(555\) | 4588.41 | + | 482.261i | 0.350932 | + | 0.0368844i | ||||
\(556\) | −2674.76 | + | 17401.1i | −0.204020 | + | 1.32728i | ||||
\(557\) | − | 22862.4i | − | 1.73916i | −0.493796 | − | 0.869578i | \(-0.664391\pi\) | ||
0.493796 | − | 0.869578i | \(-0.335609\pi\) | |||||||
\(558\) | 18421.6 | − | 15832.4i | 1.39758 | − | 1.20115i | ||||
\(559\) | − | 623.684i | − | 0.0471896i | ||||||
\(560\) | 552.940 | − | 409.493i | 0.0417250 | − | 0.0309004i | ||||
\(561\) | −8208.03 | − | 862.699i | −0.617724 | − | 0.0649255i | ||||
\(562\) | 14104.0 | − | 1142.38i | 1.05861 | − | 0.0857442i | ||||
\(563\) | 6661.87 | + | 3846.23i | 0.498694 | + | 0.287921i | 0.728174 | − | 0.685392i | \(-0.240369\pi\) |
−0.229480 | + | 0.973313i | \(0.573703\pi\) | |||||||
\(564\) | 9040.59 | − | 34366.2i | 0.674960 | − | 2.56574i | ||||
\(565\) | 2191.60 | − | 465.839i | 0.163188 | − | 0.0346867i | ||||
\(566\) | −345.108 | − | 402.208i | −0.0256289 | − | 0.0298694i | ||||
\(567\) | 697.294 | − | 3280.51i | 0.0516465 | − | 0.242978i | ||||
\(568\) | −16965.0 | − | 4899.25i | −1.25323 | − | 0.361916i | ||||
\(569\) | 11517.6 | − | 10370.5i | 0.848583 | − | 0.764067i | −0.125059 | − | 0.992149i | \(-0.539912\pi\) |
0.973642 | + | 0.228082i | \(0.0732454\pi\) | |||||||
\(570\) | −1687.19 | − | 40.3307i | −0.123980 | − | 0.00296362i | ||||
\(571\) | −3857.09 | + | 1717.29i | −0.282687 | + | 0.125860i | −0.543182 | − | 0.839615i | \(-0.682781\pi\) |
0.260496 | + | 0.965475i | \(0.416114\pi\) | |||||||
\(572\) | −1712.25 | + | 97.5681i | −0.125162 | + | 0.00713204i | ||||
\(573\) | −5374.61 | + | 7397.51i | −0.391845 | + | 0.539329i | ||||
\(574\) | 155.256 | + | 36.8993i | 0.0112896 | + | 0.00268318i | ||||
\(575\) | −4149.83 | + | 4608.85i | −0.300974 | + | 0.334265i | ||||
\(576\) | 23905.8 | + | 8803.20i | 1.72929 | + | 0.636806i | ||||
\(577\) | 14157.4 | + | 6303.29i | 1.02146 | + | 0.454782i | 0.847965 | − | 0.530053i | \(-0.177828\pi\) |
0.173493 | + | 0.984835i | \(0.444495\pi\) | |||||||
\(578\) | −5318.24 | + | 11215.7i | −0.382716 | + | 0.807112i | ||||
\(579\) | −2419.65 | − | 23021.5i | −0.173674 | − | 1.65240i | ||||
\(580\) | −846.104 | − | 1289.97i | −0.0605734 | − | 0.0923499i | ||||
\(581\) | −11571.5 | + | 3759.80i | −0.826274 | + | 0.268473i | ||||
\(582\) | 15535.5 | + | 22494.2i | 1.10647 | + | 1.60209i | ||||
\(583\) | −3678.41 | + | 2123.73i | −0.261311 | + | 0.150868i | ||||
\(584\) | −118.864 | − | 152.731i | −0.00842228 | − | 0.0108220i | ||||
\(585\) | 318.791 | + | 103.582i | 0.0225306 | + | 0.00732063i | ||||
\(586\) | −4029.19 | + | 1203.50i | −0.284034 | + | 0.0848398i | ||||
\(587\) | 183.455 | − | 133.288i | 0.0128995 | − | 0.00937201i | −0.581317 | − | 0.813677i | \(-0.697462\pi\) |
0.594216 | + | 0.804305i | \(0.297462\pi\) | |||||||
\(588\) | 13509.0 | − | 13632.8i | 0.947453 | − | 0.956135i | ||||
\(589\) | 7879.08 | + | 4540.44i | 0.551191 | + | 0.317633i | ||||
\(590\) | 1307.80 | − | 545.206i | 0.0912564 | − | 0.0380437i | ||||
\(591\) | 10681.8 | + | 14702.3i | 0.743470 | + | 1.02330i | ||||
\(592\) | 2488.67 | − | 25953.4i | 0.172777 | − | 1.80182i | ||||
\(593\) | 5016.82 | − | 15440.2i | 0.347413 | − | 1.06923i | −0.612866 | − | 0.790187i | \(-0.709984\pi\) |
0.960279 | − | 0.279041i | \(-0.0900164\pi\) | |||||||
\(594\) | −23004.5 | − | 2975.25i | −1.58904 | − | 0.205515i | ||||
\(595\) | −123.103 | − | 213.221i | −0.00848190 | − | 0.0146911i | ||||
\(596\) | −2593.48 | + | 4033.78i | −0.178244 | + | 0.277231i | ||||
\(597\) | 5908.74 | + | 18185.2i | 0.405073 | + | 1.24669i | ||||
\(598\) | −728.525 | + | 136.743i | −0.0498188 | + | 0.00935093i | ||||
\(599\) | −14315.3 | + | 1504.60i | −0.976476 | + | 0.102632i | −0.579303 | − | 0.815112i | \(-0.696675\pi\) |
−0.397173 | + | 0.917744i | \(0.630009\pi\) | |||||||
\(600\) | −8318.64 | − | 22990.0i | −0.566012 | − | 1.56427i | ||||
\(601\) | −11895.7 | + | 26718.1i | −0.807379 | + | 1.81340i | −0.292077 | + | 0.956395i | \(0.594346\pi\) |
−0.515303 | + | 0.857008i | \(0.672320\pi\) | |||||||
\(602\) | −1933.16 | + | 2046.45i | −0.130880 | + | 0.138550i | ||||
\(603\) | 26866.5 | + | 24190.7i | 1.81441 | + | 1.63370i | ||||
\(604\) | 13136.6 | − | 2142.09i | 0.884965 | − | 0.144305i | ||||
\(605\) | 377.664 | + | 274.389i | 0.0253789 | + | 0.0184389i | ||||
\(606\) | 45691.8 | + | 16063.1i | 3.06287 | + | 1.07677i | ||||
\(607\) | 9897.81 | + | 22230.8i | 0.661844 | + | 1.48653i | 0.862076 | + | 0.506778i | \(0.169164\pi\) |
−0.200232 | + | 0.979748i | \(0.564170\pi\) | |||||||
\(608\) | −140.931 | + | 9536.21i | −0.00940051 | + | 0.636093i | ||||
\(609\) | 7273.19 | + | 8077.70i | 0.483949 | + | 0.537479i | ||||
\(610\) | 499.272 | + | 914.566i | 0.0331393 | + | 0.0607044i | ||||
\(611\) | −2584.54 | − | 549.362i | −0.171128 | − | 0.0363745i | ||||
\(612\) | 4101.34 | − | 8140.90i | 0.270893 | − | 0.537707i | ||||
\(613\) | −2283.57 | − | 10743.4i | −0.150461 | − | 0.707864i | −0.987099 | − | 0.160108i | \(-0.948816\pi\) |
0.836638 | − | 0.547756i | \(-0.184518\pi\) | |||||||
\(614\) | −22205.6 | − | 16958.6i | −1.45952 | − | 1.11465i | ||||
\(615\) | −38.4143 | + | 66.5355i | −0.00251872 | + | 0.00436255i | ||||
\(616\) | 5920.72 | + | 4987.12i | 0.387260 | + | 0.326196i | ||||
\(617\) | −1976.62 | + | 18806.2i | −0.128972 | + | 1.22708i | 0.718228 | + | 0.695808i | \(0.244954\pi\) |
−0.847199 | + | 0.531275i | \(0.821713\pi\) | |||||||
\(618\) | 7024.57 | − | 11522.0i | 0.457232 | − | 0.749969i | ||||
\(619\) | 14184.9 | 0.921064 | 0.460532 | − | 0.887643i | \(-0.347659\pi\) | ||||
0.460532 | + | 0.887643i | \(0.347659\pi\) | |||||||
\(620\) | 269.745 | − | 1764.43i | 0.0174729 | − | 0.114292i | ||||
\(621\) | −10025.6 | −0.647845 | ||||||||
\(622\) | 3683.87 | − | 6042.43i | 0.237476 | − | 0.389516i | ||||
\(623\) | 746.115 | − | 7098.81i | 0.0479815 | − | 0.456513i | ||||
\(624\) | 877.602 | − | 2787.24i | 0.0563016 | − | 0.178812i | ||||
\(625\) | −7500.58 | + | 12991.4i | −0.480037 | + | 0.831449i | ||||
\(626\) | −3620.26 | − | 2764.83i | −0.231142 | − | 0.176525i | ||||
\(627\) | −3947.75 | − | 18572.7i | −0.251448 | − | 1.18297i | ||||
\(628\) | 12633.2 | + | 6364.50i | 0.802735 | + | 0.404413i | ||||
\(629\) | −9125.53 | − | 1939.69i | −0.578472 | − | 0.122958i | ||||
\(630\) | −724.970 | − | 1328.00i | −0.0458468 | − | 0.0839820i | ||||
\(631\) | −16732.6 | − | 18583.5i | −1.05565 | − | 1.17242i | −0.984578 | − | 0.174946i | \(-0.944025\pi\) |
−0.0710715 | − | 0.997471i | \(-0.522642\pi\) | |||||||
\(632\) | 16833.2 | + | 17497.2i | 1.05948 | + | 1.10127i | ||||
\(633\) | −5160.99 | − | 11591.8i | −0.324061 | − | 0.727854i | ||||
\(634\) | −21124.6 | − | 7426.45i | −1.32329 | − | 0.465208i | ||||
\(635\) | 276.594 | + | 200.957i | 0.0172855 | + | 0.0125587i | ||||
\(636\) | −1164.71 | − | 7142.68i | −0.0726159 | − | 0.445324i | ||||
\(637\) | −1060.52 | − | 954.898i | −0.0659645 | − | 0.0593947i | ||||
\(638\) | 11918.7 | − | 12617.2i | 0.739600 | − | 0.782944i | ||||
\(639\) | −15793.2 | + | 35472.2i | −0.977733 | + | 2.19602i | ||||
\(640\) | 1754.42 | − | 652.973i | 0.108359 | − | 0.0403297i | ||||
\(641\) | 14779.5 | − | 1553.38i | 0.910692 | − | 0.0957176i | 0.362417 | − | 0.932016i | \(-0.381952\pi\) |
0.548275 | + | 0.836298i | \(0.315285\pi\) | |||||||
\(642\) | −37075.7 | + | 6959.07i | −2.27922 | + | 0.427808i | ||||
\(643\) | −732.165 | − | 2253.37i | −0.0449047 | − | 0.138203i | 0.926090 | − | 0.377302i | \(-0.123148\pi\) |
−0.970995 | + | 0.239099i | \(0.923148\pi\) | |||||||
\(644\) | 2814.31 | + | 1809.44i | 0.172204 | + | 0.110717i | ||||
\(645\) | −677.666 | − | 1173.75i | −0.0413691 | − | 0.0716534i | ||||
\(646\) | 3384.49 | + | 437.727i | 0.206131 | + | 0.0266596i | ||||
\(647\) | 6095.86 | − | 18761.1i | 0.370407 | − | 1.13999i | −0.576119 | − | 0.817366i | \(-0.695434\pi\) |
0.946526 | − | 0.322629i | \(-0.104566\pi\) | |||||||
\(648\) | 4298.93 | − | 8048.47i | 0.260614 | − | 0.487922i | ||||
\(649\) | 9369.97 | + | 12896.7i | 0.566723 | + | 0.780028i | ||||
\(650\) | −1677.95 | + | 699.516i | −0.101253 | + | 0.0422112i | ||||
\(651\) | 10.2367 | + | 12576.4i | 0.000616297 | + | 0.757155i | ||||
\(652\) | −15012.1 | − | 14875.8i | −0.901716 | − | 0.893528i | ||||
\(653\) | −1753.84 | + | 1274.24i | −0.105104 | + | 0.0763625i | −0.639096 | − | 0.769127i | \(-0.720691\pi\) |
0.533992 | + | 0.845490i | \(0.320691\pi\) | |||||||
\(654\) | −15240.2 | + | 4552.17i | −0.911219 | + | 0.272177i | ||||
\(655\) | −2703.45 | − | 878.403i | −0.161271 | − | 0.0524001i | ||||
\(656\) | 377.964 | + | 213.645i | 0.0224955 | + | 0.0127156i | ||||
\(657\) | −368.552 | + | 212.784i | −0.0218852 | + | 0.0126354i | ||||
\(658\) | 6777.71 | + | 9813.61i | 0.401554 | + | 0.581420i | ||||
\(659\) | 19510.0 | − | 6339.18i | 1.15326 | − | 0.374718i | 0.330892 | − | 0.943668i | \(-0.392650\pi\) |
0.822372 | + | 0.568950i | \(0.192650\pi\) | |||||||
\(660\) | −3116.38 | + | 2044.07i | −0.183795 | + | 0.120554i | ||||
\(661\) | −2427.65 | − | 23097.5i | −0.142851 | − | 1.35914i | −0.797553 | − | 0.603249i | \(-0.793872\pi\) |
0.654702 | − | 0.755887i | \(-0.272794\pi\) | |||||||
\(662\) | −7617.85 | + | 16065.3i | −0.447245 | + | 0.943198i | ||||
\(663\) | −955.219 | − | 425.291i | −0.0559542 | − | 0.0249124i | ||||
\(664\) | −33084.4 | + | 1092.89i | −1.93362 | + | 0.0638741i | ||||
\(665\) | 379.014 | − | 420.938i | 0.0221016 | − | 0.0245463i | ||||
\(666\) | −55777.8 | − | 13256.6i | −3.24526 | − | 0.771296i | ||||
\(667\) | 4409.34 | − | 6068.93i | 0.255967 | − | 0.352309i | ||||
\(668\) | −930.651 | − | 16332.2i | −0.0539041 | − | 0.945978i | ||||
\(669\) | 35111.0 | − | 15632.4i | 2.02911 | − | 0.903416i | ||||
\(670\) | 2655.83 | + | 63.4850i | 0.153140 | + | 0.00366066i | ||||
\(671\) | −8711.86 | + | 7844.20i | −0.501219 | + | 0.451299i | ||||
\(672\) | −11518.9 | + | 6425.39i | −0.661238 | + | 0.368847i | ||||
\(673\) | 3323.02 | − | 15633.6i | 0.190332 | − | 0.895440i | −0.774501 | − | 0.632573i | \(-0.781999\pi\) |
0.964832 | − | 0.262867i | \(-0.0846679\pi\) | |||||||
\(674\) | −7192.69 | − | 8382.77i | −0.411056 | − | 0.479069i | ||||
\(675\) | −24050.5 | + | 5112.09i | −1.37141 | + | 0.291503i | ||||
\(676\) | 16787.6 | + | 4416.25i | 0.955141 | + | 0.251266i | ||||
\(677\) | 15104.0 | + | 8720.31i | 0.857452 | + | 0.495050i | 0.863158 | − | 0.504934i | \(-0.168483\pi\) |
−0.00570640 | + | 0.999984i | \(0.501816\pi\) | |||||||
\(678\) | −42810.4 | + | 3467.50i | −2.42496 | + | 0.196414i | ||||
\(679\) | −9124.93 | − | 959.069i | −0.515733 | − | 0.0542057i | ||||
\(680\) | −160.825 | − | 650.255i | −0.00906966 | − | 0.0366708i | ||||
\(681\) | − | 34522.8i | − | 1.94261i | ||||||
\(682\) | 20015.0 | − | 1637.55i | 1.12377 | − | 0.0919427i | ||||
\(683\) | − | 16517.0i | − | 0.925339i | −0.886531 | − | 0.462670i | \(-0.846892\pi\) | ||
0.886531 | − | 0.462670i | \(-0.153108\pi\) | |||||||
\(684\) | 20728.3 | + | 3186.20i | 1.15872 | + | 0.178110i | ||||
\(685\) | 3065.39 | + | 322.186i | 0.170982 | + | 0.0179709i | ||||
\(686\) | 1171.43 | + | 14462.7i | 0.0651973 | + | 0.804937i | ||||
\(687\) | 34085.9 | + | 19679.5i | 1.89295 | + | 1.09290i | ||||
\(688\) | −6597.80 | + | 3889.92i | −0.365609 | + | 0.215555i | ||||
\(689\) | −526.359 | + | 111.881i | −0.0291040 | + | 0.00618626i | ||||
\(690\) | −1222.48 | + | 1048.93i | −0.0674479 | + | 0.0578725i | ||||
\(691\) | 2811.94 | − | 13229.1i | 0.154806 | − | 0.728306i | −0.830432 | − | 0.557119i | \(-0.811907\pi\) |
0.985239 | − | 0.171187i | \(-0.0547601\pi\) | |||||||
\(692\) | 4482.89 | + | 3596.44i | 0.246263 | + | 0.197567i | ||||
\(693\) | 12650.1 | − | 11390.2i | 0.693415 | − | 0.624354i | ||||
\(694\) | −470.808 | + | 19695.8i | −0.0257516 | + | 1.07729i | ||||
\(695\) | 2598.82 | − | 1157.07i | 0.141840 | − | 0.0631513i | ||||
\(696\) | 12913.7 | + | 26604.2i | 0.703295 | + | 1.44889i | ||||
\(697\) | 91.3161 | − | 125.686i | 0.00496247 | − | 0.00683026i | ||||
\(698\) | −6081.58 | + | 25588.6i | −0.329787 | + | 1.38759i | ||||
\(699\) | −26032.2 | + | 28911.7i | −1.40863 | + | 1.56444i | ||||
\(700\) | 7673.96 | + | 2905.67i | 0.414355 | + | 0.156891i | ||||
\(701\) | −13251.0 | − | 5899.74i | −0.713958 | − | 0.317875i | 0.0174186 | − | 0.999848i | \(-0.494455\pi\) |
−0.731377 | + | 0.681974i | \(0.761122\pi\) | |||||||
\(702\) | −2655.36 | − | 1259.12i | −0.142764 | − | 0.0676955i | ||||
\(703\) | −2243.54 | − | 21345.9i | −0.120365 | − | 1.14520i | ||||
\(704\) | 11711.4 | + | 17504.9i | 0.626977 | + | 0.937134i | ||||
\(705\) | −5460.94 | + | 1774.37i | −0.291732 | + | 0.0947893i | ||||
\(706\) | 19027.7 | − | 13141.4i | 1.01433 | − | 0.700542i | ||||
\(707\) | −14077.6 | + | 8127.70i | −0.748857 | + | 0.432353i | ||||
\(708\) | −26203.4 | + | 7149.43i | −1.39094 | + | 0.379509i | ||||
\(709\) | −715.292 | − | 232.413i | −0.0378891 | − | 0.0123109i | 0.290011 | − | 0.957023i | \(-0.406341\pi\) |
−0.327900 | + | 0.944712i | \(0.606341\pi\) | |||||||
\(710\) | 816.615 | + | 2733.94i | 0.0431648 | + | 0.144511i | ||||
\(711\) | 43193.2 | − | 31381.7i | 2.27830 | − | 1.65528i | ||||
\(712\) | 7308.79 | − | 17992.2i | 0.384703 | − | 0.947029i | ||||
\(713\) | 8488.40 | − | 1811.49i | 0.445853 | − | 0.0951483i | ||||
\(714\) | 1816.07 | + | 4356.26i | 0.0951889 | + | 0.228332i | ||||
\(715\) | 162.888 | + | 224.196i | 0.00851981 | + | 0.0117265i | ||||
\(716\) | 5025.68 | + | 6148.65i | 0.262316 | + | 0.320930i | ||||
\(717\) | −4136.58 | + | 12731.1i | −0.215458 | + | 0.663111i | ||||
\(718\) | 538.045 | − | 4160.15i | 0.0279661 | − | 0.216233i | ||||
\(719\) | 9904.92 | + | 17155.8i | 0.513757 | + | 0.889853i | 0.999873 | + | 0.0159587i | \(0.00508002\pi\) |
−0.486116 | + | 0.873894i | \(0.661587\pi\) | |||||||
\(720\) | −892.537 | − | 4018.45i | −0.0461984 | − | 0.207999i | ||||
\(721\) | 1399.57 | + | 4307.42i | 0.0722920 | + | 0.222492i | ||||
\(722\) | −2130.51 | − | 11350.7i | −0.109819 | − | 0.585080i | ||||
\(723\) | −27701.1 | + | 2911.50i | −1.42492 | + | 0.149765i | ||||
\(724\) | −644.107 | + | 13465.1i | −0.0330636 | + | 0.691196i | ||||
\(725\) | 7483.06 | − | 16807.2i | 0.383329 | − | 0.860972i | ||||
\(726\) | −6505.20 | − | 6145.07i | −0.332549 | − | 0.314139i | ||||
\(727\) | 1911.53 | + | 1721.15i | 0.0975168 | + | 0.0878045i | 0.716447 | − | 0.697641i | \(-0.245767\pi\) |
−0.618930 | + | 0.785446i | \(0.712434\pi\) | |||||||
\(728\) | 518.147 | + | 832.698i | 0.0263789 | + | 0.0423926i | ||||
\(729\) | 21920.9 | + | 15926.4i | 1.11370 | + | 0.809147i | ||||
\(730\) | −10.3716 | + | 29.5020i | −0.000525848 | + | 0.00149578i | ||||
\(731\) | 1114.72 | + | 2503.70i | 0.0564013 | + | 0.126679i | ||||
\(732\) | −7243.06 | − | 18614.6i | −0.365726 | − | 0.939912i | ||||
\(733\) | −22353.1 | − | 24825.6i | −1.12637 | − | 1.25096i | −0.964480 | − | 0.264155i | \(-0.914907\pi\) |
−0.161892 | − | 0.986808i | \(-0.551760\pi\) | |||||||
\(734\) | −5463.40 | + | 2982.53i | −0.274738 | + | 0.149983i | ||||
\(735\) | −3033.42 | − | 644.773i | −0.152230 | − | 0.0323575i | ||||
\(736\) | 5990.39 | + | 6854.03i | 0.300012 | + | 0.343265i | ||||
\(737\) | 6214.21 | + | 29235.6i | 0.310588 | + | 1.46120i | ||||
\(738\) | 579.457 | − | 758.740i | 0.0289026 | − | 0.0378450i | ||||
\(739\) | 13831.0 | − | 23956.0i | 0.688473 | − | 1.19247i | −0.283859 | − | 0.958866i | \(-0.591615\pi\) |
0.972332 | − | 0.233604i | \(-0.0750520\pi\) | |||||||
\(740\) | −3744.96 | + | 1929.72i | −0.186037 | + | 0.0958619i | ||||
\(741\) | 251.451 | − | 2392.40i | 0.0124660 | − | 0.118606i | ||||
\(742\) | 2073.90 | + | 1264.39i | 0.102608 | + | 0.0625568i | ||||
\(743\) | −22264.5 | −1.09934 | −0.549668 | − | 0.835383i | \(-0.685246\pi\) | ||||
−0.549668 | + | 0.835383i | \(0.685246\pi\) | |||||||
\(744\) | −9466.54 | + | 32880.8i | −0.466479 | + | 1.62025i | ||||
\(745\) | 774.889 | 0.0381070 | ||||||||
\(746\) | −802.048 | − | 488.983i | −0.0393633 | − | 0.0239986i | ||||
\(747\) | −7608.62 | + | 72391.2i | −0.372670 | + | 3.54572i | ||||
\(748\) | 6699.22 | − | 3452.00i | 0.327470 | − | 0.168740i | ||||
\(749\) | 6330.44 | − | 10964.6i | 0.308824 | − | 0.534899i | ||||
\(750\) | −4828.05 | + | 6321.83i | −0.235060 | + | 0.307788i | ||||
\(751\) | −2771.73 | − | 13040.0i | −0.134676 | − | 0.633601i | −0.992762 | − | 0.120096i | \(-0.961680\pi\) |
0.858086 | − | 0.513506i | \(-0.171653\pi\) | |||||||
\(752\) | 10308.2 | + | 30767.6i | 0.499871 | + | 1.49199i | ||||
\(753\) | 18344.9 | + | 3899.33i | 0.887816 | + | 0.188711i | ||||
\(754\) | 1930.05 | − | 1053.64i | 0.0932207 | − | 0.0508903i | ||||
\(755\) | −1439.10 | − | 1598.28i | −0.0693697 | − | 0.0770428i | ||||
\(756\) | 4810.12 | + | 12362.0i | 0.231405 | + | 0.594710i | ||||
\(757\) | 4483.22 | + | 10069.5i | 0.215252 | + | 0.483463i | 0.988609 | − | 0.150508i | \(-0.0480908\pi\) |
−0.773357 | + | 0.633970i | \(0.781424\pi\) | |||||||
\(758\) | 11465.9 | − | 32614.9i | 0.549420 | − | 1.56283i | ||||
\(759\) | −14661.7 | − | 10652.4i | −0.701168 | − | 0.509428i | ||||
\(760\) | 1308.44 | − | 814.178i | 0.0624501 | − | 0.0388597i | ||||
\(761\) | 4587.61 | + | 4130.70i | 0.218529 | + | 0.196765i | 0.771123 | − | 0.636686i | \(-0.219695\pi\) |
−0.552594 | + | 0.833451i | \(0.686362\pi\) | |||||||
\(762\) | −4764.28 | − | 4500.53i | −0.226498 | − | 0.213959i | ||||
\(763\) | 2171.28 | − | 4876.78i | 0.103022 | − | 0.231391i | ||||
\(764\) | 398.946 | − | 8339.98i | 0.0188918 | − | 0.394935i | ||||
\(765\) | −1464.88 | + | 153.965i | −0.0692324 | + | 0.00727662i | ||||
\(766\) | −3874.02 | − | 20639.5i | −0.182734 | − | 0.973547i | ||||
\(767\) | 624.094 | + | 1920.76i | 0.0293803 | + | 0.0904234i | ||||
\(768\) | −34959.2 | + | 8100.08i | −1.64255 | + | 0.380581i | ||||
\(769\) | −12326.0 | − | 21349.2i | −0.578005 | − | 1.00113i | −0.995708 | − | 0.0925503i | \(-0.970498\pi\) |
0.417703 | − | 0.908584i | \(-0.362835\pi\) | |||||||
\(770\) | 160.441 | − | 1240.53i | 0.00750896 | − | 0.0580590i | ||||
\(771\) | −1893.76 | + | 5828.40i | −0.0884594 | + | 0.272250i | ||||
\(772\) | 13377.0 | + | 16366.0i | 0.623638 | + | 0.762987i | ||||
\(773\) | −6695.07 | − | 9214.98i | −0.311520 | − | 0.428771i | 0.624334 | − | 0.781157i | \(-0.285370\pi\) |
−0.935855 | + | 0.352386i | \(0.885370\pi\) | |||||||
\(774\) | 6480.59 | + | 15545.2i | 0.300956 | + | 0.721911i | ||||
\(775\) | 19439.3 | − | 8673.89i | 0.901006 | − | 0.402033i | ||||
\(776\) | −23127.4 | − | 9394.83i | −1.06988 | − | 0.434607i | ||||
\(777\) | 24014.5 | − | 17447.5i | 1.10877 | − | 0.805569i | ||||
\(778\) | 7434.46 | + | 24889.8i | 0.342594 | + | 1.14697i | ||||
\(779\) | 339.924 | + | 110.448i | 0.0156342 | + | 0.00507986i | ||||
\(780\) | −455.521 | + | 124.286i | −0.0209106 | + | 0.00570532i | ||||
\(781\) | −27800.9 | + | 16050.9i | −1.27374 | + | 0.735397i | ||||
\(782\) | 2680.17 | − | 1851.04i | 0.122561 | − | 0.0846460i | ||||
\(783\) | 28285.3 | − | 9190.46i | 1.29098 | − | 0.419464i | ||||
\(784\) | −3487.16 | + | 17174.7i | −0.158854 | + | 0.782376i | ||||
\(785\) | −238.925 | − | 2273.22i | −0.0108632 | − | 0.103356i | ||||
\(786\) | 49236.0 | + | 23346.7i | 2.23434 | + | 1.05948i | ||||
\(787\) | −26770.0 | − | 11918.8i | −1.21251 | − | 0.539845i | −0.301992 | − | 0.953310i | \(-0.597652\pi\) |
−0.910520 | + | 0.413465i | \(0.864318\pi\) | |||||||
\(788\) | −15519.1 | − | 5876.15i | −0.701580 | − | 0.265646i | ||||
\(789\) | −6427.08 | + | 7137.99i | −0.290000 | + | 0.322078i | ||||
\(790\) | 907.161 | − | 3816.92i | 0.0408549 | − | 0.171899i | ||||
\(791\) | 8473.12 | − | 11662.2i | 0.380872 | − | 0.524225i | ||||
\(792\) | 41663.5 | − | 20223.5i | 1.86925 | − | 0.907338i | ||||
\(793\) | −1356.80 | + | 604.086i | −0.0607584 | + | 0.0270514i | ||||
\(794\) | 832.798 | − | 34839.3i | 0.0372228 | − | 1.55718i | ||||
\(795\) | −869.026 | + | 782.474i | −0.0387688 | + | 0.0349076i | ||||
\(796\) | −13619.0 | − | 10926.0i | −0.606423 | − | 0.486509i | ||||
\(797\) | −7298.39 | + | 34336.2i | −0.324369 | + | 1.52604i | 0.449841 | + | 0.893109i | \(0.351481\pi\) |
−0.774210 | + | 0.632928i | \(0.781853\pi\) | |||||||
\(798\) | −8240.52 | + | 7070.63i | −0.365553 | + | 0.313656i | ||||
\(799\) | 11357.2 | − | 2414.05i | 0.502865 | − | 0.106887i | ||||
\(800\) | 17865.4 | + | 13387.7i | 0.789545 | + | 0.591659i | ||||
\(801\) | −36982.0 | − | 21351.6i | −1.63133 | − | 0.941850i | ||||
\(802\) | −1192.73 | − | 14725.7i | −0.0525147 | − | 0.648356i | ||||
\(803\) | −349.907 | − | 36.7767i | −0.0153773 | − | 0.00161622i | ||||
\(804\) | −50334.6 | − | 7737.04i | −2.20791 | − | 0.339384i | ||||
\(805\) | − | 540.630i | − | 0.0236705i | ||||||
\(806\) | 2475.73 | + | 586.274i | 0.108194 | + | 0.0256211i | ||||
\(807\) | 20267.9i | 0.884095i | ||||||||
\(808\) | −42932.2 | + | 10618.3i | −1.86924 | + | 0.462314i | ||||
\(809\) | −7543.37 | − | 792.840i | −0.327825 | − | 0.0344558i | −0.0608137 | − | 0.998149i | \(-0.519370\pi\) |
−0.267012 | + | 0.963693i | \(0.586036\pi\) | |||||||
\(810\) | −1469.58 | + | 119.031i | −0.0637480 | + | 0.00516338i | ||||
\(811\) | 25567.1 | + | 14761.2i | 1.10701 | + | 0.639131i | 0.938053 | − | 0.346493i | \(-0.112628\pi\) |
0.168954 | + | 0.985624i | \(0.445961\pi\) | |||||||
\(812\) | −9598.81 | − | 2525.13i | −0.414843 | − | 0.109131i | ||||
\(813\) | 40004.5 | − | 8503.21i | 1.72573 | − | 0.366815i | ||||
\(814\) | −30864.9 | − | 35971.7i | −1.32901 | − | 1.54890i | ||||
\(815\) | −710.007 | + | 3340.32i | −0.0305159 | + | 0.143566i | ||||
\(816\) | 1458.65 | + | 12757.6i | 0.0625772 | + | 0.547309i | ||||
\(817\) | −4685.67 | + | 4219.00i | −0.200650 | + | 0.180666i | ||||
\(818\) | −33501.6 | − | 800.823i | −1.43198 | − | 0.0342300i | ||||
\(819\) | 1970.14 | − | 877.165i | 0.0840567 | − | 0.0374244i | ||||
\(820\) | −3.99110 | − | 70.0410i | −0.000169970 | − | 0.00298285i | ||||
\(821\) | 5478.75 | − | 7540.86i | 0.232899 | − | 0.320558i | −0.676532 | − | 0.736413i | \(-0.736518\pi\) |
0.909431 | + | 0.415856i | \(0.136518\pi\) | |||||||
\(822\) | −57484.6 | − | 13662.3i | −2.43918 | − | 0.579715i | ||||
\(823\) | −16293.4 | + | 18095.6i | −0.690099 | + | 0.766433i | −0.981767 | − | 0.190087i | \(-0.939123\pi\) |
0.291668 | + | 0.956520i | \(0.405790\pi\) | |||||||
\(824\) | 406.823 | + | 12315.5i | 0.0171995 | + | 0.520668i | ||||
\(825\) | −40603.9 | − | 18078.0i | −1.71351 | − | 0.762905i | ||||
\(826\) | 3905.77 | − | 8236.91i | 0.164527 | − | 0.346972i | ||||
\(827\) | 3827.23 | + | 36413.7i | 0.160926 | + | 1.53111i | 0.715285 | + | 0.698833i | \(0.246297\pi\) |
−0.554359 | + | 0.832278i | \(0.687037\pi\) | |||||||
\(828\) | 16737.4 | − | 10978.3i | 0.702495 | − | 0.460775i | ||||
\(829\) | −21317.0 | + | 6926.32i | −0.893089 | + | 0.290182i | −0.719382 | − | 0.694615i | \(-0.755575\pi\) |
−0.173708 | + | 0.984797i | \(0.555575\pi\) | |||||||
\(830\) | 3039.66 | + | 4401.19i | 0.127118 | + | 0.184057i | ||||
\(831\) | 6834.36 | − | 3945.82i | 0.285296 | − | 0.164716i | ||||
\(832\) | 725.807 | + | 2567.69i | 0.0302438 | + | 0.106993i | ||||
\(833\) | 5964.03 | + | 1937.83i | 0.248069 | + | 0.0806025i | ||||
\(834\) | −52251.8 | + | 15607.4i | −2.16946 | + | 0.648009i | ||||
\(835\) | −2138.49 | + | 1553.70i | −0.0886292 | + | 0.0643929i | ||||
\(836\) | 12315.8 | + | 12203.9i | 0.509509 | + | 0.504883i | ||||
\(837\) | 31447.4 | + | 13970.6i | 1.29866 | + | 0.576935i | ||||
\(838\) | 29606.9 | − | 12342.8i | 1.22047 | − | 0.508800i | ||||
\(839\) | −16747.0 | − | 23050.3i | −0.689119 | − | 0.948491i | 0.310879 | − | 0.950449i | \(-0.399377\pi\) |
−0.999998 | + | 0.00195854i | \(0.999377\pi\) | |||||||
\(840\) | 1879.91 | + | 1004.12i | 0.0772178 | + | 0.0412444i | ||||
\(841\) | 659.858 | − | 2030.84i | 0.0270556 | − | 0.0832685i | ||||
\(842\) | −41206.4 | − | 5329.36i | −1.68654 | − | 0.218126i | ||||
\(843\) | 21915.1 | + | 37958.0i | 0.895369 | + | 1.55082i | ||||
\(844\) | 9745.96 | + | 6266.09i | 0.397476 | + | 0.255554i | ||||
\(845\) | −866.761 | − | 2667.62i | −0.0352870 | − | 0.108602i | ||||
\(846\) | 70127.4 | − | 13162.8i | 2.84992 | − | 0.534926i | ||||
\(847\) | 2986.97 | − | 313.943i | 0.121173 | − | 0.0127358i | ||||
\(848\) | 4466.47 | + | 4870.43i | 0.180872 | + | 0.197230i | ||||
\(849\) | 667.695 | − | 1499.67i | 0.0269909 | − | 0.0606225i | ||||
\(850\) | 5485.65 | − | 5807.14i | 0.221360 | − | 0.234333i | ||||
\(851\) | −15224.0 | − | 13707.8i | −0.613246 | − | 0.552169i | ||||
\(852\) | −8802.70 | − | 53983.3i | −0.353962 | − | 2.17070i | ||||
\(853\) | 802.459 | + | 583.021i | 0.0322106 | + | 0.0234024i | 0.603774 | − | 0.797155i | \(-0.293663\pi\) |
−0.571563 | + | 0.820558i | \(0.693663\pi\) | |||||||
\(854\) | 6324.40 | + | 2223.37i | 0.253415 | + | 0.0890892i | ||||
\(855\) | −1378.31 | − | 3095.74i | −0.0551313 | − | 0.123827i | ||||
\(856\) | 24823.6 | − | 23881.6i | 0.991184 | − | 0.953571i | ||||
\(857\) | −13184.7 | − | 14643.1i | −0.525531 | − | 0.583661i | 0.420681 | − | 0.907209i | \(-0.361791\pi\) |
−0.946212 | + | 0.323547i | \(0.895124\pi\) | |||||||
\(858\) | −2545.45 | − | 4662.74i | −0.101282 | − | 0.185528i | ||||
\(859\) | 19195.7 | + | 4080.18i | 0.762456 | + | 0.162065i | 0.572699 | − | 0.819766i | \(-0.305896\pi\) |
0.189757 | + | 0.981831i | \(0.439230\pi\) | |||||||
\(860\) | 1105.26 | + | 556.822i | 0.0438244 | + | 0.0220785i | ||||
\(861\) | 102.771 | + | 483.498i | 0.00406785 | + | 0.0191377i | ||||
\(862\) | 7896.75 | + | 6030.83i | 0.312024 | + | 0.238296i | ||||
\(863\) | 17470.5 | − | 30259.7i | 0.689109 | − | 1.19357i | −0.283017 | − | 0.959115i | \(-0.591335\pi\) |
0.972126 | − | 0.234458i | \(-0.0753314\pi\) | |||||||
\(864\) | 3241.59 | + | 35943.5i | 0.127640 | + | 1.41530i | ||||
\(865\) | 97.0717 | − | 923.576i | 0.00381565 | − | 0.0363035i | ||||
\(866\) | 9322.65 | − | 15291.4i | 0.365816 | − | 0.600025i | ||||
\(867\) | −38448.3 | −1.50608 | ||||||||
\(868\) | −6306.26 | − | 9597.46i | −0.246600 | − | 0.375298i | ||||
\(869\) | 44139.5 | 1.72305 | ||||||||
\(870\) | 2487.46 | − | 4080.02i | 0.0969343 | − | 0.158995i | ||||
\(871\) | −395.813 | + | 3765.91i | −0.0153979 | + | 0.146502i | ||||
\(872\) | 9356.68 | − | 11108.3i | 0.363368 | − | 0.431391i | ||||
\(873\) | −27445.7 | + | 47537.3i | −1.06403 | + | 1.84295i | ||||
\(874\) | 5955.55 | + | 4548.32i | 0.230492 | + | 0.176029i | ||||
\(875\) | −555.077 | − | 2611.43i | −0.0214457 | − | 0.100894i | ||||
\(876\) | 269.715 | − | 535.368i | 0.0104028 | − | 0.0206489i | ||||
\(877\) | −3183.35 | − | 676.642i | −0.122570 | − | 0.0260531i | 0.146218 | − | 0.989252i | \(-0.453290\pi\) |
−0.268788 | + | 0.963199i | \(0.586623\pi\) | |||||||
\(878\) | −7328.93 | − | 13425.1i | −0.281708 | − | 0.516031i | ||||
\(879\) | −8715.60 | − | 9679.65i | −0.334437 | − | 0.371430i | ||||
\(880\) | 1355.78 | − | 3121.46i | 0.0519357 | − | 0.119573i | ||||
\(881\) | −639.954 | − | 1437.36i | −0.0244729 | − | 0.0549670i | 0.900896 | − | 0.434036i | \(-0.142911\pi\) |
−0.925368 | + | 0.379069i | \(0.876244\pi\) | |||||||
\(882\) | 36355.4 | + | 12780.9i | 1.38793 | + | 0.487931i | ||||
\(883\) | 12525.8 | + | 9100.55i | 0.477381 | + | 0.346838i | 0.800311 | − | 0.599585i | \(-0.204668\pi\) |
−0.322930 | + | 0.946423i | \(0.604668\pi\) | |||||||
\(884\) | 942.340 | − | 153.661i | 0.0358533 | − | 0.00584636i | ||||
\(885\) | 3261.54 | + | 2936.70i | 0.123882 | + | 0.111544i | ||||
\(886\) | 15586.5 | − | 16499.9i | 0.591014 | − | 0.625651i | ||||
\(887\) | 5108.12 | − | 11473.0i | 0.193364 | − | 0.434302i | −0.790680 | − | 0.612230i | \(-0.790273\pi\) |
0.984044 | + | 0.177928i | \(0.0569393\pi\) | |||||||
\(888\) | 75941.0 | − | 27478.2i | 2.86983 | − | 1.03841i | ||||
\(889\) | 2187.60 | − | 229.926i | 0.0825306 | − | 0.00867431i | ||||
\(890\) | −3084.11 | + | 578.884i | −0.116157 | + | 0.0218025i | ||||
\(891\) | −5126.00 | − | 15776.2i | −0.192736 | − | 0.593179i | ||||
\(892\) | −18979.7 | + | 29520.1i | −0.712432 | + | 1.10808i | ||||
\(893\) | 13356.2 | + | 23133.6i | 0.500502 | + | 0.866896i | ||||
\(894\) | −14731.6 | − | 1905.28i | −0.551116 | − | 0.0712776i | ||||
\(895\) | 396.525 | − | 1220.38i | 0.0148093 | − | 0.0455784i | ||||
\(896\) | 5577.23 | − | 10674.9i | 0.207949 | − | 0.398017i | ||||
\(897\) | −1349.56 | − | 1857.52i | −0.0502348 | − | 0.0691423i | ||||
\(898\) | 7445.15 | − | 3103.79i | 0.276668 | − | 0.115340i | ||||
\(899\) | −22287.9 | + | 12892.1i | −0.826856 | + | 0.478283i | ||||
\(900\) | 34553.9 | − | 34870.5i | 1.27977 | − | 1.29150i | ||||
\(901\) | 1913.04 | − | 1389.90i | 0.0707352 | − | 0.0513922i | ||||
\(902\) | 756.276 | − | 225.897i | 0.0279171 | − | 0.00833873i | ||||
\(903\) | −8293.16 | − | 2694.61i | −0.305625 | − | 0.0993035i | ||||
\(904\) | 30950.9 | − | 24087.7i | 1.13873 | − | 0.886221i | ||||
\(905\) | 1886.41 | − | 1089.12i | 0.0692887 | − | 0.0400039i | ||||
\(906\) | 23429.2 | + | 33923.7i | 0.859141 | + | 1.24397i | ||||
\(907\) | −33031.7 | + | 10732.7i | −1.20926 | + | 0.392913i | −0.843160 | − | 0.537662i | \(-0.819308\pi\) |
−0.366101 | + | 0.930575i | \(0.619308\pi\) | |||||||
\(908\) | 17289.5 | + | 26359.5i | 0.631908 | + | 0.963405i | ||||
\(909\) | 10165.3 | + | 96716.6i | 0.370916 | + | 3.52903i | ||||
\(910\) | 67.8981 | − | 143.191i | 0.00247341 | − | 0.00521619i | ||||
\(911\) | 32950.1 | + | 14670.3i | 1.19834 | + | 0.533534i | 0.906203 | − | 0.422844i | \(-0.138968\pi\) |
0.292134 | + | 0.956378i | \(0.405635\pi\) | |||||||
\(912\) | −26876.9 | + | 12261.4i | −0.975859 | + | 0.445191i | ||||
\(913\) | −40267.3 | + | 44721.3i | −1.45964 | + | 1.62110i | ||||
\(914\) | −11881.0 | − | 2823.73i | −0.429965 | − | 0.102189i | ||||
\(915\) | −1897.08 | + | 2611.11i | −0.0685416 | + | 0.0943394i | ||||
\(916\) | −35881.7 | + | 2044.63i | −1.29429 | + | 0.0737515i | ||||
\(917\) | −16707.4 | + | 7438.62i | −0.601666 | + | 0.267879i | ||||
\(918\) | 12910.0 | + | 308.601i | 0.464155 | + | 0.0110952i | ||||
\(919\) | 23019.6 | − | 20726.9i | 0.826274 | − | 0.743981i | −0.143063 | − | 0.989714i | \(-0.545695\pi\) |
0.969338 | + | 0.245733i | \(0.0790286\pi\) | |||||||
\(920\) | 408.095 | − | 1413.14i | 0.0146245 | − | 0.0506410i | ||||
\(921\) | 17994.0 | − | 84655.0i | 0.643781 | − | 3.02875i | ||||
\(922\) | 35411.1 | + | 41270.1i | 1.26486 | + | 1.47414i | ||||
\(923\) | −3978.14 | + | 845.581i | −0.141866 | + | 0.0301545i | ||||
\(924\) | −6100.36 | + | 23189.4i | −0.217194 | + | 0.825623i | ||||
\(925\) | −43510.9 | − | 25121.0i | −1.54662 | − | 0.892944i | ||||
\(926\) | −3122.58 | + | 252.919i | −0.110815 | + | 0.00897562i | ||||
\(927\) | 26947.2 | + | 2832.27i | 0.954761 | + | 0.100349i | ||||
\(928\) | −23183.9 | − | 13846.0i | −0.820097 | − | 0.489782i | ||||
\(929\) | − | 15813.0i | − | 0.558458i | −0.960224 | − | 0.279229i | \(-0.909921\pi\) | ||
0.960224 | − | 0.279229i | \(-0.0900789\pi\) | |||||||
\(930\) | 5296.27 | − | 1586.67i | 0.186743 | − | 0.0559451i | ||||
\(931\) | 14427.1i | 0.507874i | ||||||||
\(932\) | 5397.24 | − | 35112.6i | 0.189692 | − | 1.23407i | ||||
\(933\) | 21800.5 | + | 2291.32i | 0.764968 | + | 0.0804014i | ||||
\(934\) | −72.4348 | − | 894.293i | −0.00253762 | − | 0.0313299i | ||||
\(935\) | −1054.60 | − | 608.874i | −0.0368868 | − | 0.0212966i | ||||
\(936\) | 5811.83 | − | 805.629i | 0.202955 | − | 0.0281334i | ||||
\(937\) | −15031.6 | + | 3195.07i | −0.524079 | + | 0.111397i | −0.462352 | − | 0.886697i | \(-0.652994\pi\) |
−0.0617275 | + | 0.998093i | \(0.519661\pi\) | |||||||
\(938\) | 12971.5 | − | 11130.0i | 0.451530 | − | 0.387427i | ||||
\(939\) | 2933.63 | − | 13801.7i | 0.101955 | − | 0.479659i | ||||
\(940\) | 3281.02 | − | 4089.72i | 0.113846 | − | 0.141906i | ||||
\(941\) | −16296.1 | + | 14673.1i | −0.564546 | + | 0.508320i | −0.901255 | − | 0.433289i | \(-0.857353\pi\) |
0.336709 | + | 0.941609i | \(0.390686\pi\) | |||||||
\(942\) | −1047.09 | + | 43804.1i | −0.0362167 | + | 1.51509i | ||||
\(943\) | 311.646 | − | 138.754i | 0.0107620 | − | 0.00479156i | ||||
\(944\) | 16426.8 | − | 18581.9i | 0.566364 | − | 0.640668i | ||||
\(945\) | 1259.85 | − | 1734.04i | 0.0433682 | − | 0.0596913i | ||||
\(946\) | −3219.59 | + | 13546.6i | −0.110653 | + | 0.465578i | ||||
\(947\) | −27147.5 | + | 30150.4i | −0.931548 | + | 1.03459i | 0.0677710 | + | 0.997701i | \(0.478411\pi\) |
−0.999319 | + | 0.0368884i | \(0.988255\pi\) | |||||||
\(948\) | −26631.2 | + | 70333.9i | −0.912386 | + | 2.40964i | ||||
\(949\) | −40.7208 | − | 18.1301i | −0.00139289 | − | 0.000620155i | ||||
\(950\) | 16606.1 | + | 7874.27i | 0.567130 | + | 0.268921i | ||||
\(951\) | −7250.02 | − | 68979.3i | −0.247211 | − | 2.35206i | ||||
\(952\) | −3568.33 | − | 2416.67i | −0.121481 | − | 0.0822738i | ||||
\(953\) | 38469.5 | − | 12499.5i | 1.30761 | − | 0.424867i | 0.429386 | − | 0.903121i | \(-0.358730\pi\) |
0.878222 | + | 0.478254i | \(0.158730\pi\) | |||||||
\(954\) | 11956.8 | − | 8257.91i | 0.405783 | − | 0.280251i | ||||
\(955\) | −1168.40 | + | 674.576i | −0.0395901 | + | 0.0228573i | ||||
\(956\) | −3217.47 | − | 11792.4i | −0.108850 | − | 0.398945i | ||||
\(957\) | 51130.5 | + | 16613.3i | 1.72708 | + | 0.561162i | ||||
\(958\) | 9353.26 | + | 31313.7i | 0.315439 | + | 1.05605i | ||||
\(959\) | 16043.4 | − | 11656.2i | 0.540218 | − | 0.392491i | ||||
\(960\) | 4155.88 | + | 4043.67i | 0.139719 | + | 0.135947i | ||||
\(961\) | −29150.0 | − | 6146.45i | −0.978485 | − | 0.206319i | ||||
\(962\) | −2310.65 | − | 5542.62i | −0.0774411 | − | 0.185760i | ||||
\(963\) | −44521.7 | − | 61278.8i | −1.48981 | − | 2.05055i | ||||
\(964\) | 19692.8 | − | 16096.2i | 0.657948 | − | 0.537783i | ||||
\(965\) | 1055.44 | − | 3248.31i | 0.0352081 | − | 0.108359i | ||||
\(966\) | −1329.29 | + | 10278.0i | −0.0442746 | + | 0.342330i | ||||
\(967\) | −3406.24 | − | 5899.78i | −0.113275 | − | 0.196199i | 0.803814 | − | 0.594881i | \(-0.202801\pi\) |
−0.917089 | + | 0.398683i | \(0.869468\pi\) | |||||||
\(968\) | 8044.53 | + | 1434.11i | 0.267108 | + | 0.0476178i | ||||
\(969\) | 3266.55 | + | 10053.4i | 0.108294 | + | 0.333294i | ||||
\(970\) | 744.107 | + | 3964.36i | 0.0246307 | + | 0.131225i | ||||
\(971\) | 29330.1 | − | 3082.72i | 0.969359 | − | 0.101884i | 0.393405 | − | 0.919365i | \(-0.371297\pi\) |
0.575955 | + | 0.817482i | \(0.304630\pi\) | |||||||
\(972\) | −14783.0 | − | 707.148i | −0.487823 | − | 0.0233352i | ||||
\(973\) | 7444.37 | − | 16720.3i | 0.245278 | − | 0.550903i | ||||
\(974\) | 8563.92 | + | 8089.82i | 0.281731 | + | 0.266134i | ||||
\(975\) | −4184.65 | − | 3767.88i | −0.137452 | − | 0.123763i | ||||
\(976\) | 14852.8 | + | 10585.6i | 0.487119 | + | 0.347168i | ||||
\(977\) | 20449.8 | + | 14857.6i | 0.669648 | + | 0.486528i | 0.869907 | − | 0.493215i | \(-0.164178\pi\) |
−0.200259 | + | 0.979743i | \(0.564178\pi\) | |||||||
\(978\) | 21711.2 | − | 61757.8i | 0.709865 | − | 2.01922i | ||||
\(979\) | −14359.6 | − | 32252.3i | −0.468781 | − | 1.05290i | ||||
\(980\) | 2639.05 | − | 1026.87i | 0.0860217 | − | 0.0334716i | ||||
\(981\) | −21369.9 | − | 23733.7i | −0.695504 | − | 0.772435i | ||||
\(982\) | 8790.90 | − | 4799.06i | 0.285671 | − | 0.155951i | ||||
\(983\) | 51412.7 | + | 10928.1i | 1.66817 | + | 0.354581i | 0.942692 | − | 0.333664i | \(-0.108285\pi\) |
0.725479 | + | 0.688245i | \(0.241618\pi\) | |||||||
\(984\) | −96.3396 | + | 1341.38i | −0.00312113 | + | 0.0434569i | ||||
\(985\) | 557.491 | + | 2622.79i | 0.0180336 | + | 0.0848416i | ||||
\(986\) | −5864.77 | + | 7679.31i | −0.189424 | + | 0.248032i | ||||
\(987\) | −18471.4 | + | 31993.3i | −0.595694 | + | 1.03177i | ||||
\(988\) | 1006.16 | + | 1952.62i | 0.0323989 | + | 0.0628758i | ||||
\(989\) | −629.055 | + | 5985.06i | −0.0202253 | + | 0.192430i | ||||
\(990\) | −6389.52 | − | 3895.49i | −0.205123 | − | 0.125057i | ||||
\(991\) | −33319.4 | −1.06804 | −0.534019 | − | 0.845472i | \(-0.679319\pi\) | ||||
−0.534019 | + | 0.845472i | \(0.679319\pi\) | |||||||
\(992\) | −9239.10 | − | 29846.8i | −0.295707 | − | 0.955279i | ||||
\(993\) | −55073.4 | −1.76002 | ||||||||
\(994\) | 15674.2 | + | 9556.06i | 0.500156 | + | 0.304929i | ||||
\(995\) | −294.904 | + | 2805.82i | −0.00939605 | + | 0.0893975i | ||||
\(996\) | −46966.0 | − | 91145.9i | −1.49415 | − | 2.89967i | ||||
\(997\) | 5272.81 | − | 9132.78i | 0.167494 | − | 0.290108i | −0.770044 | − | 0.637991i | \(-0.779766\pi\) |
0.937538 | + | 0.347882i | \(0.113099\pi\) | |||||||
\(998\) | −8645.05 | + | 11319.8i | −0.274203 | + | 0.359040i | ||||
\(999\) | −16886.3 | − | 79443.9i | −0.534794 | − | 2.51601i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 124.4.p.a.3.9 | ✓ | 368 | |
4.3 | odd | 2 | inner | 124.4.p.a.3.28 | yes | 368 | |
31.21 | odd | 30 | inner | 124.4.p.a.83.28 | yes | 368 | |
124.83 | even | 30 | inner | 124.4.p.a.83.9 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.4.p.a.3.9 | ✓ | 368 | 1.1 | even | 1 | trivial | |
124.4.p.a.3.28 | yes | 368 | 4.3 | odd | 2 | inner | |
124.4.p.a.83.9 | yes | 368 | 124.83 | even | 30 | inner | |
124.4.p.a.83.28 | yes | 368 | 31.21 | odd | 30 | inner |