Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), 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: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 165 x^{16} - 56 x^{15} + 18435 x^{14} - 11748 x^{13} + 1092662 x^{12} - 1833567 x^{11} + 46842546 x^{10} - 93643115 x^{9} + 1273086000 x^{8} + \cdots + 3892796082289 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 23.3 | ||
Root | \(2.15332 + 3.72966i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.23 |
Dual form | 38.4.e.b.5.3 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87939 | + | 0.684040i | 0.664463 | + | 0.241845i | ||||
\(3\) | 0.900544 | + | 5.10724i | 0.173310 | + | 0.982889i | 0.940077 | + | 0.340963i | \(0.110753\pi\) |
−0.766767 | + | 0.641926i | \(0.778136\pi\) | |||||||
\(4\) | 3.06418 | + | 2.57115i | 0.383022 | + | 0.321394i | ||||
\(5\) | −10.9611 | + | 9.19749i | −0.980394 | + | 0.822648i | −0.984149 | − | 0.177345i | \(-0.943249\pi\) |
0.00375477 | + | 0.999993i | \(0.498805\pi\) | |||||||
\(6\) | −1.80109 | + | 10.2145i | −0.122549 | + | 0.695008i | ||||
\(7\) | 16.0725 | − | 27.8383i | 0.867831 | − | 1.50313i | 0.00362339 | − | 0.999993i | \(-0.498847\pi\) |
0.864208 | − | 0.503135i | \(-0.167820\pi\) | |||||||
\(8\) | 4.00000 | + | 6.92820i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.0987659 | − | 0.0359478i | 0.00365799 | − | 0.00133140i | ||||
\(10\) | −26.8917 | + | 9.78776i | −0.850389 | + | 0.309516i | ||||
\(11\) | 16.0815 | + | 27.8541i | 0.440797 | + | 0.763483i | 0.997749 | − | 0.0670618i | \(-0.0213625\pi\) |
−0.556952 | + | 0.830545i | \(0.688029\pi\) | |||||||
\(12\) | −10.3721 | + | 17.9649i | −0.249513 | + | 0.432169i | ||||
\(13\) | 10.2414 | − | 58.0818i | 0.218496 | − | 1.23915i | −0.656239 | − | 0.754553i | \(-0.727854\pi\) |
0.874735 | − | 0.484601i | \(-0.161035\pi\) | |||||||
\(14\) | 49.2489 | − | 41.3247i | 0.940166 | − | 0.788893i | ||||
\(15\) | −56.8448 | − | 47.6984i | −0.978484 | − | 0.821046i | ||||
\(16\) | 2.77837 | + | 15.7569i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 0.248658 | + | 0.0905043i | 0.00354756 | + | 0.00129121i | 0.343793 | − | 0.939045i | \(-0.388288\pi\) |
−0.340246 | + | 0.940337i | \(0.610510\pi\) | |||||||
\(18\) | 0.210209 | 0.00275259 | ||||||||
\(19\) | −82.8189 | + | 0.155735i | −0.999998 | + | 0.00188042i | ||||
\(20\) | −57.2350 | −0.639907 | ||||||||
\(21\) | 156.651 | + | 57.0163i | 1.62781 | + | 0.592475i | ||||
\(22\) | 11.1701 | + | 63.3489i | 0.108249 | + | 0.613911i | ||||
\(23\) | −125.908 | − | 105.649i | −1.14146 | − | 0.957801i | −0.141977 | − | 0.989870i | \(-0.545346\pi\) |
−0.999486 | + | 0.0320694i | \(0.989790\pi\) | |||||||
\(24\) | −31.7818 | + | 26.6681i | −0.270310 | + | 0.226817i | ||||
\(25\) | 13.8468 | − | 78.5289i | 0.110774 | − | 0.628231i | ||||
\(26\) | 58.9778 | − | 102.153i | 0.444865 | − | 0.770530i | ||||
\(27\) | 70.2839 | + | 121.735i | 0.500968 | + | 0.867703i | ||||
\(28\) | 120.825 | − | 43.9768i | 0.815495 | − | 0.296816i | ||||
\(29\) | 69.8012 | − | 25.4055i | 0.446957 | − | 0.162679i | −0.108729 | − | 0.994071i | \(-0.534678\pi\) |
0.555686 | + | 0.831392i | \(0.312456\pi\) | |||||||
\(30\) | −74.2056 | − | 128.528i | −0.451601 | − | 0.782196i | ||||
\(31\) | −113.990 | + | 197.437i | −0.660427 | + | 1.14389i | 0.320076 | + | 0.947392i | \(0.396291\pi\) |
−0.980503 | + | 0.196502i | \(0.937042\pi\) | |||||||
\(32\) | −5.55674 | + | 31.5138i | −0.0306970 | + | 0.174091i | ||||
\(33\) | −127.775 | + | 107.216i | −0.674025 | + | 0.565574i | ||||
\(34\) | 0.405416 | + | 0.340185i | 0.00204495 | + | 0.00171592i | ||||
\(35\) | 79.8701 | + | 452.966i | 0.385729 | + | 2.18758i | ||||
\(36\) | 0.395063 | + | 0.143791i | 0.00182900 | + | 0.000665701i | ||||
\(37\) | 112.024 | 0.497746 | 0.248873 | − | 0.968536i | \(-0.419940\pi\) | ||||
0.248873 | + | 0.968536i | \(0.419940\pi\) | |||||||
\(38\) | −155.755 | − | 56.3588i | −0.664917 | − | 0.240595i | ||||
\(39\) | 305.861 | 1.25582 | ||||||||
\(40\) | −107.567 | − | 39.1510i | −0.425194 | − | 0.154758i | ||||
\(41\) | −33.2568 | − | 188.609i | −0.126679 | − | 0.718433i | −0.980296 | − | 0.197532i | \(-0.936707\pi\) |
0.853617 | − | 0.520901i | \(-0.174404\pi\) | |||||||
\(42\) | 255.406 | + | 214.311i | 0.938334 | + | 0.787356i | ||||
\(43\) | 44.7716 | − | 37.5679i | 0.158782 | − | 0.133234i | −0.559935 | − | 0.828536i | \(-0.689174\pi\) |
0.718717 | + | 0.695303i | \(0.244730\pi\) | |||||||
\(44\) | −22.3403 | + | 126.698i | −0.0765436 | + | 0.434100i | ||||
\(45\) | −0.751957 | + | 1.30243i | −0.00249100 | + | 0.00431454i | ||||
\(46\) | −164.361 | − | 284.682i | −0.526820 | − | 0.912480i | ||||
\(47\) | −84.3281 | + | 30.6929i | −0.261713 | + | 0.0952558i | −0.469544 | − | 0.882909i | \(-0.655582\pi\) |
0.207831 | + | 0.978165i | \(0.433360\pi\) | |||||||
\(48\) | −77.9724 | + | 28.3796i | −0.234465 | + | 0.0853384i | ||||
\(49\) | −345.148 | − | 597.814i | −1.00626 | − | 1.74290i | ||||
\(50\) | 79.7403 | − | 138.114i | 0.225540 | − | 0.390646i | ||||
\(51\) | −0.238299 | + | 1.35146i | −0.000654285 | + | 0.00371064i | ||||
\(52\) | 180.719 | − | 151.641i | 0.481945 | − | 0.404400i | ||||
\(53\) | 297.397 | + | 249.546i | 0.770766 | + | 0.646749i | 0.940905 | − | 0.338671i | \(-0.109977\pi\) |
−0.170139 | + | 0.985420i | \(0.554422\pi\) | |||||||
\(54\) | 48.8187 | + | 276.865i | 0.123026 | + | 0.697713i | ||||
\(55\) | −432.459 | − | 157.402i | −1.06023 | − | 0.385893i | ||||
\(56\) | 257.159 | 0.613649 | ||||||||
\(57\) | −75.3775 | − | 422.836i | −0.175158 | − | 0.982561i | ||||
\(58\) | 148.562 | 0.336329 | ||||||||
\(59\) | −350.865 | − | 127.704i | −0.774216 | − | 0.281791i | −0.0754571 | − | 0.997149i | \(-0.524042\pi\) |
−0.698759 | + | 0.715358i | \(0.746264\pi\) | |||||||
\(60\) | −51.5427 | − | 292.313i | −0.110902 | − | 0.628957i | ||||
\(61\) | −398.991 | − | 334.793i | −0.837469 | − | 0.702720i | 0.119524 | − | 0.992831i | \(-0.461863\pi\) |
−0.956993 | + | 0.290112i | \(0.906308\pi\) | |||||||
\(62\) | −349.286 | + | 293.086i | −0.715474 | + | 0.600354i | ||||
\(63\) | 0.586683 | − | 3.32725i | 0.00117326 | − | 0.00665387i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 421.949 | + | 730.838i | 0.805175 | + | 1.39460i | ||||
\(66\) | −313.479 | + | 114.097i | −0.584646 | + | 0.212794i | ||||
\(67\) | −61.8342 | + | 22.5058i | −0.112750 | + | 0.0410376i | −0.397779 | − | 0.917481i | \(-0.630219\pi\) |
0.285029 | + | 0.958519i | \(0.407997\pi\) | |||||||
\(68\) | 0.529233 | + | 0.916659i | 0.000943809 | + | 0.00163472i | ||||
\(69\) | 426.191 | − | 738.185i | 0.743585 | − | 1.28793i | ||||
\(70\) | −159.740 | + | 905.932i | −0.272752 | + | 1.54685i | ||||
\(71\) | 405.586 | − | 340.327i | 0.677947 | − | 0.568865i | −0.237459 | − | 0.971398i | \(-0.576314\pi\) |
0.915406 | + | 0.402532i | \(0.131870\pi\) | |||||||
\(72\) | 0.644117 | + | 0.540479i | 0.00105430 | + | 0.000884667i | ||||
\(73\) | 66.8256 | + | 378.987i | 0.107142 | + | 0.607630i | 0.990343 | + | 0.138637i | \(0.0442721\pi\) |
−0.883202 | + | 0.468993i | \(0.844617\pi\) | |||||||
\(74\) | 210.536 | + | 76.6289i | 0.330734 | + | 0.120377i | ||||
\(75\) | 413.536 | 0.636680 | ||||||||
\(76\) | −254.172 | − | 212.463i | −0.383626 | − | 0.320673i | ||||
\(77\) | 1033.88 | 1.53015 | ||||||||
\(78\) | 574.830 | + | 209.221i | 0.834445 | + | 0.303713i | ||||
\(79\) | 88.6111 | + | 502.539i | 0.126197 | + | 0.715697i | 0.980590 | + | 0.196070i | \(0.0628179\pi\) |
−0.854393 | + | 0.519627i | \(0.826071\pi\) | |||||||
\(80\) | −175.378 | − | 147.160i | −0.245099 | − | 0.205662i | ||||
\(81\) | −556.264 | + | 466.761i | −0.763051 | + | 0.640276i | ||||
\(82\) | 66.5136 | − | 377.218i | 0.0895756 | − | 0.508009i | ||||
\(83\) | −679.754 | + | 1177.37i | −0.898948 | + | 1.55702i | −0.0701069 | + | 0.997539i | \(0.522334\pi\) |
−0.828841 | + | 0.559484i | \(0.810999\pi\) | |||||||
\(84\) | 333.409 | + | 577.481i | 0.433070 | + | 0.750100i | ||||
\(85\) | −3.55799 | + | 1.29500i | −0.00454021 | + | 0.00165250i | ||||
\(86\) | 109.841 | − | 39.9789i | 0.137726 | − | 0.0501283i | ||||
\(87\) | 192.611 | + | 333.613i | 0.237358 | + | 0.411115i | ||||
\(88\) | −128.652 | + | 222.832i | −0.155845 | + | 0.269932i | ||||
\(89\) | 51.9243 | − | 294.477i | 0.0618423 | − | 0.350725i | −0.938148 | − | 0.346236i | \(-0.887460\pi\) |
0.999990 | − | 0.00448961i | \(-0.00142909\pi\) | |||||||
\(90\) | −2.30413 | + | 1.93339i | −0.00269863 | + | 0.00226442i | ||||
\(91\) | −1452.30 | − | 1218.62i | −1.67299 | − | 1.40380i | ||||
\(92\) | −114.164 | − | 647.457i | −0.129374 | − | 0.733718i | ||||
\(93\) | −1111.01 | − | 404.375i | −1.23878 | − | 0.450879i | ||||
\(94\) | −179.480 | −0.196936 | ||||||||
\(95\) | 906.357 | − | 763.433i | 0.978845 | − | 0.824490i | ||||
\(96\) | −165.953 | −0.176432 | ||||||||
\(97\) | 1581.49 | + | 575.614i | 1.65542 | + | 0.602523i | 0.989633 | − | 0.143619i | \(-0.0458739\pi\) |
0.665787 | + | 0.746142i | \(0.268096\pi\) | |||||||
\(98\) | −239.737 | − | 1359.62i | −0.247114 | − | 1.40145i | ||||
\(99\) | 2.58960 | + | 2.17293i | 0.00262894 | + | 0.00220594i | ||||
\(100\) | 244.339 | − | 205.024i | 0.244339 | − | 0.205024i | ||||
\(101\) | −318.759 | + | 1807.77i | −0.314036 | + | 1.78099i | 0.263536 | + | 0.964649i | \(0.415111\pi\) |
−0.577573 | + | 0.816339i | \(0.696000\pi\) | |||||||
\(102\) | −1.37231 | + | 2.37691i | −0.00133215 | + | 0.00230735i | ||||
\(103\) | −699.131 | − | 1210.93i | −0.668810 | − | 1.15841i | −0.978237 | − | 0.207490i | \(-0.933471\pi\) |
0.309427 | − | 0.950923i | \(-0.399863\pi\) | |||||||
\(104\) | 443.368 | − | 161.373i | 0.418037 | − | 0.152153i | ||||
\(105\) | −2241.48 | + | 815.832i | −2.08330 | + | 0.758258i | ||||
\(106\) | 388.224 | + | 672.424i | 0.355732 | + | 0.616147i | ||||
\(107\) | 71.3226 | − | 123.534i | 0.0644394 | − | 0.111612i | −0.832006 | − | 0.554767i | \(-0.812807\pi\) |
0.896445 | + | 0.443155i | \(0.146141\pi\) | |||||||
\(108\) | −97.6374 | + | 553.729i | −0.0869923 | + | 0.493358i | ||||
\(109\) | 1417.84 | − | 1189.71i | 1.24591 | − | 1.04544i | 0.248873 | − | 0.968536i | \(-0.419940\pi\) |
0.997038 | − | 0.0769073i | \(-0.0245046\pi\) | |||||||
\(110\) | −705.088 | − | 591.639i | −0.611159 | − | 0.512824i | ||||
\(111\) | 100.883 | + | 572.133i | 0.0862644 | + | 0.489230i | ||||
\(112\) | 483.302 | + | 175.907i | 0.407747 | + | 0.148408i | ||||
\(113\) | −530.132 | −0.441333 | −0.220666 | − | 0.975349i | \(-0.570823\pi\) | ||||
−0.220666 | + | 0.975349i | \(0.570823\pi\) | |||||||
\(114\) | 147.574 | − | 846.233i | 0.121241 | − | 0.695237i | ||||
\(115\) | 2351.80 | 1.90702 | ||||||||
\(116\) | 279.205 | + | 101.622i | 0.223478 | + | 0.0813395i | ||||
\(117\) | −1.07642 | − | 6.10466i | −0.000850553 | − | 0.00482372i | ||||
\(118\) | −572.055 | − | 480.011i | −0.446288 | − | 0.374480i | ||||
\(119\) | 6.51604 | − | 5.46761i | 0.00501953 | − | 0.00421189i | ||||
\(120\) | 103.085 | − | 584.626i | 0.0784197 | − | 0.444740i | ||||
\(121\) | 148.268 | − | 256.807i | 0.111396 | − | 0.192943i | ||||
\(122\) | −520.846 | − | 902.132i | −0.386518 | − | 0.669469i | ||||
\(123\) | 933.321 | − | 339.701i | 0.684185 | − | 0.249023i | ||||
\(124\) | −856.926 | + | 311.896i | −0.620599 | + | 0.225879i | ||||
\(125\) | −323.805 | − | 560.846i | −0.231696 | − | 0.401309i | ||||
\(126\) | 3.37857 | − | 5.85186i | 0.00238879 | − | 0.00413750i | ||||
\(127\) | −137.262 | + | 778.451i | −0.0959057 | + | 0.543908i | 0.898560 | + | 0.438850i | \(0.144614\pi\) |
−0.994466 | + | 0.105058i | \(0.966497\pi\) | |||||||
\(128\) | −98.0537 | + | 82.2768i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 232.187 | + | 194.828i | 0.158472 | + | 0.132974i | ||||
\(130\) | 293.083 | + | 1662.16i | 0.197731 | + | 1.12139i | ||||
\(131\) | −324.270 | − | 118.025i | −0.216272 | − | 0.0787165i | 0.231612 | − | 0.972808i | \(-0.425600\pi\) |
−0.447884 | + | 0.894092i | \(0.647822\pi\) | |||||||
\(132\) | −667.195 | −0.439938 | ||||||||
\(133\) | −1326.77 | + | 2308.04i | −0.865003 | + | 1.50476i | ||||
\(134\) | −131.605 | −0.0848429 | ||||||||
\(135\) | −1890.05 | − | 687.922i | −1.20496 | − | 0.438570i | ||||
\(136\) | 0.367602 | + | 2.08477i | 0.000231776 | + | 0.00131447i | ||||
\(137\) | −633.977 | − | 531.970i | −0.395360 | − | 0.331747i | 0.423337 | − | 0.905972i | \(-0.360859\pi\) |
−0.818697 | + | 0.574226i | \(0.805303\pi\) | |||||||
\(138\) | 1305.93 | − | 1095.80i | 0.805563 | − | 0.675948i | ||||
\(139\) | −366.513 | + | 2078.60i | −0.223649 | + | 1.26838i | 0.641601 | + | 0.767038i | \(0.278270\pi\) |
−0.865251 | + | 0.501340i | \(0.832841\pi\) | |||||||
\(140\) | −919.907 | + | 1593.33i | −0.555331 | + | 0.961862i | ||||
\(141\) | −232.697 | − | 403.044i | −0.138983 | − | 0.240726i | ||||
\(142\) | 995.051 | − | 362.169i | 0.588048 | − | 0.214032i | ||||
\(143\) | 1782.51 | − | 648.781i | 1.04239 | − | 0.379397i | ||||
\(144\) | 0.840835 | + | 1.45637i | 0.000486595 | + | 0.000842807i | ||||
\(145\) | −531.433 | + | 920.469i | −0.304366 | + | 0.527178i | ||||
\(146\) | −133.651 | + | 757.973i | −0.0757606 | + | 0.429660i | ||||
\(147\) | 2742.36 | − | 2301.11i | 1.53868 | − | 1.29111i | ||||
\(148\) | 343.261 | + | 288.030i | 0.190648 | + | 0.159973i | ||||
\(149\) | 245.803 | + | 1394.02i | 0.135147 | + | 0.766458i | 0.974757 | + | 0.223268i | \(0.0716725\pi\) |
−0.839610 | + | 0.543190i | \(0.817216\pi\) | |||||||
\(150\) | 777.193 | + | 282.875i | 0.423050 | + | 0.153978i | ||||
\(151\) | 777.767 | 0.419164 | 0.209582 | − | 0.977791i | \(-0.432790\pi\) | ||||
0.209582 | + | 0.977791i | \(0.432790\pi\) | |||||||
\(152\) | −332.355 | − | 573.163i | −0.177352 | − | 0.305853i | ||||
\(153\) | 0.0278124 | 1.46961e−5 | ||||||||
\(154\) | 1943.06 | + | 707.216i | 1.01673 | + | 0.370059i | ||||
\(155\) | −566.460 | − | 3212.56i | −0.293543 | − | 1.66477i | ||||
\(156\) | 937.211 | + | 786.414i | 0.481006 | + | 0.403612i | ||||
\(157\) | 2762.25 | − | 2317.80i | 1.40415 | − | 1.17822i | 0.444930 | − | 0.895565i | \(-0.353228\pi\) |
0.959221 | − | 0.282658i | \(-0.0912160\pi\) | |||||||
\(158\) | −177.222 | + | 1005.08i | −0.0892345 | + | 0.506074i | ||||
\(159\) | −1006.67 | + | 1743.60i | −0.502102 | + | 0.869665i | ||||
\(160\) | −228.940 | − | 396.536i | −0.113121 | − | 0.195931i | ||||
\(161\) | −4964.75 | + | 1807.02i | −2.43029 | + | 0.884555i | ||||
\(162\) | −1364.72 | + | 496.717i | −0.661866 | + | 0.240900i | ||||
\(163\) | 1212.12 | + | 2099.45i | 0.582456 | + | 1.00884i | 0.995187 | + | 0.0979903i | \(0.0312414\pi\) |
−0.412732 | + | 0.910853i | \(0.635425\pi\) | |||||||
\(164\) | 383.037 | − | 663.439i | 0.182379 | − | 0.315890i | ||||
\(165\) | 414.443 | − | 2350.42i | 0.195541 | − | 1.10897i | ||||
\(166\) | −2082.89 | + | 1747.75i | −0.973876 | + | 0.817179i | ||||
\(167\) | 1738.00 | + | 1458.36i | 0.805335 | + | 0.675756i | 0.949489 | − | 0.313799i | \(-0.101602\pi\) |
−0.144155 | + | 0.989555i | \(0.546046\pi\) | |||||||
\(168\) | 231.583 | + | 1313.38i | 0.106352 | + | 0.603149i | ||||
\(169\) | −1204.11 | − | 438.259i | −0.548068 | − | 0.199481i | ||||
\(170\) | −7.57267 | −0.00341645 | ||||||||
\(171\) | −8.17408 | + | 2.99254i | −0.00365548 | + | 0.00133828i | ||||
\(172\) | 233.781 | 0.103637 | ||||||||
\(173\) | 1541.66 | + | 561.120i | 0.677518 | + | 0.246596i | 0.657781 | − | 0.753209i | \(-0.271495\pi\) |
0.0197365 | + | 0.999805i | \(0.493717\pi\) | |||||||
\(174\) | 133.786 | + | 758.741i | 0.0582892 | + | 0.330575i | ||||
\(175\) | −1963.56 | − | 1647.62i | −0.848179 | − | 0.711706i | ||||
\(176\) | −394.214 | + | 330.785i | −0.168835 | + | 0.141669i | ||||
\(177\) | 336.248 | − | 1906.96i | 0.142791 | − | 0.809805i | ||||
\(178\) | 299.020 | − | 517.918i | 0.125913 | − | 0.218088i | ||||
\(179\) | −1148.00 | − | 1988.40i | −0.479361 | − | 0.830278i | 0.520359 | − | 0.853948i | \(-0.325798\pi\) |
−0.999720 | + | 0.0236700i | \(0.992465\pi\) | |||||||
\(180\) | −5.65286 | + | 2.05747i | −0.00234078 | + | 0.000851973i | ||||
\(181\) | −1513.95 | + | 551.032i | −0.621717 | + | 0.226287i | −0.633622 | − | 0.773643i | \(-0.718433\pi\) |
0.0119049 | + | 0.999929i | \(0.496210\pi\) | |||||||
\(182\) | −1895.84 | − | 3283.69i | −0.772136 | − | 1.33738i | ||||
\(183\) | 1350.56 | − | 2339.24i | 0.545554 | − | 0.944927i | ||||
\(184\) | 228.328 | − | 1294.91i | 0.0914814 | − | 0.518817i | ||||
\(185\) | −1227.91 | + | 1030.34i | −0.487988 | + | 0.409470i | ||||
\(186\) | −1811.41 | − | 1519.95i | −0.714080 | − | 0.599184i | ||||
\(187\) | 1.47790 | + | 8.38159i | 0.000577940 | + | 0.00327766i | ||||
\(188\) | −337.313 | − | 122.772i | −0.130857 | − | 0.0476279i | ||||
\(189\) | 4518.54 | 1.73902 | ||||||||
\(190\) | 2225.61 | − | 814.800i | 0.849805 | − | 0.311115i | ||||
\(191\) | −1080.21 | −0.409221 | −0.204610 | − | 0.978844i | \(-0.565593\pi\) | ||||
−0.204610 | + | 0.978844i | \(0.565593\pi\) | |||||||
\(192\) | −311.889 | − | 113.518i | −0.117233 | − | 0.0426692i | ||||
\(193\) | −100.901 | − | 572.237i | −0.0376322 | − | 0.213423i | 0.960193 | − | 0.279337i | \(-0.0901147\pi\) |
−0.997825 | + | 0.0659145i | \(0.979004\pi\) | |||||||
\(194\) | 2578.48 | + | 2163.60i | 0.954248 | + | 0.800709i | ||||
\(195\) | −3352.58 | + | 2813.15i | −1.23120 | + | 1.03310i | ||||
\(196\) | 479.475 | − | 2719.24i | 0.174736 | − | 0.990975i | ||||
\(197\) | 742.256 | − | 1285.62i | 0.268444 | − | 0.464959i | −0.700016 | − | 0.714127i | \(-0.746824\pi\) |
0.968460 | + | 0.249168i | \(0.0801571\pi\) | |||||||
\(198\) | 3.38048 | + | 5.85517i | 0.00121334 | + | 0.00210156i | ||||
\(199\) | −868.594 | + | 316.142i | −0.309412 | + | 0.112617i | −0.492059 | − | 0.870562i | \(-0.663756\pi\) |
0.182647 | + | 0.983179i | \(0.441533\pi\) | |||||||
\(200\) | 599.451 | − | 218.182i | 0.211938 | − | 0.0771391i | ||||
\(201\) | −170.627 | − | 295.534i | −0.0598761 | − | 0.103708i | ||||
\(202\) | −1835.66 | + | 3179.45i | −0.639388 | + | 1.10745i | ||||
\(203\) | 414.629 | − | 2351.48i | 0.143356 | − | 0.813012i | ||||
\(204\) | −4.20500 | + | 3.52842i | −0.00144318 | + | 0.00121097i | ||||
\(205\) | 2099.26 | + | 1761.49i | 0.715213 | + | 0.600135i | ||||
\(206\) | −485.611 | − | 2754.04i | −0.164243 | − | 0.931471i | ||||
\(207\) | −16.2333 | − | 5.90843i | −0.00545068 | − | 0.00198389i | ||||
\(208\) | 943.645 | 0.314567 | ||||||||
\(209\) | −1336.19 | − | 2304.34i | −0.442232 | − | 0.762653i | ||||
\(210\) | −4770.67 | −1.56765 | ||||||||
\(211\) | −880.714 | − | 320.554i | −0.287350 | − | 0.104587i | 0.194324 | − | 0.980937i | \(-0.437749\pi\) |
−0.481674 | + | 0.876351i | \(0.659971\pi\) | |||||||
\(212\) | 269.658 | + | 1529.30i | 0.0873592 | + | 0.495439i | ||||
\(213\) | 2103.38 | + | 1764.95i | 0.676626 | + | 0.567757i | ||||
\(214\) | 218.545 | − | 183.381i | 0.0698104 | − | 0.0585779i | ||||
\(215\) | −145.218 | + | 823.573i | −0.0460642 | + | 0.261243i | ||||
\(216\) | −562.271 | + | 973.883i | −0.177119 | + | 0.306779i | ||||
\(217\) | 3664.21 | + | 6346.59i | 1.14628 | + | 1.98541i | ||||
\(218\) | 3478.47 | − | 1266.06i | 1.08070 | − | 0.393341i | ||||
\(219\) | −1875.40 | + | 682.588i | −0.578665 | + | 0.210617i | ||||
\(220\) | −920.427 | − | 1594.23i | −0.282069 | − | 0.488558i | ||||
\(221\) | 7.80326 | − | 13.5156i | 0.00237513 | − | 0.00411385i | ||||
\(222\) | −201.765 | + | 1144.27i | −0.0609981 | + | 0.345938i | ||||
\(223\) | −304.007 | + | 255.092i | −0.0912907 | + | 0.0766020i | −0.687291 | − | 0.726382i | \(-0.741200\pi\) |
0.596000 | + | 0.802984i | \(0.296756\pi\) | |||||||
\(224\) | 787.982 | + | 661.196i | 0.235041 | + | 0.197223i | ||||
\(225\) | −1.45536 | − | 8.25373i | −0.000431217 | − | 0.00244555i | ||||
\(226\) | −996.321 | − | 362.631i | −0.293249 | − | 0.106734i | ||||
\(227\) | 655.356 | 0.191619 | 0.0958095 | − | 0.995400i | \(-0.469456\pi\) | ||||
0.0958095 | + | 0.995400i | \(0.469456\pi\) | |||||||
\(228\) | 856.205 | − | 1489.45i | 0.248700 | − | 0.432637i | ||||
\(229\) | −1958.69 | −0.565213 | −0.282606 | − | 0.959236i | \(-0.591199\pi\) | ||||
−0.282606 | + | 0.959236i | \(0.591199\pi\) | |||||||
\(230\) | 4419.95 | + | 1608.73i | 1.26714 | + | 0.461202i | ||||
\(231\) | 931.055 | + | 5280.28i | 0.265190 | + | 1.50397i | ||||
\(232\) | 455.220 | + | 381.975i | 0.128822 | + | 0.108094i | ||||
\(233\) | −3228.93 | + | 2709.39i | −0.907872 | + | 0.761795i | −0.971713 | − | 0.236165i | \(-0.924109\pi\) |
0.0638407 | + | 0.997960i | \(0.479665\pi\) | |||||||
\(234\) | 2.15283 | − | 12.2093i | 0.000601431 | − | 0.00341089i | ||||
\(235\) | 642.035 | − | 1112.04i | 0.178220 | − | 0.308686i | ||||
\(236\) | −746.765 | − | 1293.44i | −0.205976 | − | 0.356760i | ||||
\(237\) | −2486.79 | + | 905.117i | −0.681579 | + | 0.248075i | ||||
\(238\) | 15.9862 | − | 5.81850i | 0.00435392 | − | 0.00158470i | ||||
\(239\) | 2719.45 | + | 4710.23i | 0.736012 | + | 1.27481i | 0.954278 | + | 0.298920i | \(0.0966264\pi\) |
−0.218267 | + | 0.975889i | \(0.570040\pi\) | |||||||
\(240\) | 593.645 | − | 1028.22i | 0.159665 | − | 0.276548i | ||||
\(241\) | 586.162 | − | 3324.29i | 0.156672 | − | 0.888533i | −0.800569 | − | 0.599241i | \(-0.795469\pi\) |
0.957241 | − | 0.289292i | \(-0.0934198\pi\) | |||||||
\(242\) | 454.319 | − | 381.218i | 0.120681 | − | 0.101263i | ||||
\(243\) | 22.5917 | + | 18.9567i | 0.00596402 | + | 0.00500440i | ||||
\(244\) | −361.776 | − | 2051.73i | −0.0949194 | − | 0.538315i | ||||
\(245\) | 9281.60 | + | 3378.23i | 2.42033 | + | 0.880927i | ||||
\(246\) | 1986.44 | 0.514840 | ||||||||
\(247\) | −839.136 | + | 4811.87i | −0.216166 | + | 1.23956i | ||||
\(248\) | −1823.84 | −0.466993 | ||||||||
\(249\) | −6625.25 | − | 2411.39i | −1.68618 | − | 0.613719i | ||||
\(250\) | −224.912 | − | 1275.54i | −0.0568988 | − | 0.322689i | ||||
\(251\) | −1761.60 | − | 1478.16i | −0.442992 | − | 0.371715i | 0.393835 | − | 0.919181i | \(-0.371148\pi\) |
−0.836828 | + | 0.547466i | \(0.815592\pi\) | |||||||
\(252\) | 10.3526 | − | 8.68682i | 0.00258789 | − | 0.00217150i | ||||
\(253\) | 917.968 | − | 5206.05i | 0.228111 | − | 1.29368i | ||||
\(254\) | −790.460 | + | 1369.12i | −0.195267 | + | 0.338213i | ||||
\(255\) | −9.81802 | − | 17.0053i | −0.00241109 | − | 0.00417613i | ||||
\(256\) | −240.561 | + | 87.5572i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 2359.67 | − | 858.848i | 0.572731 | − | 0.208457i | −0.0393861 | − | 0.999224i | \(-0.512540\pi\) |
0.612117 | + | 0.790767i | \(0.290318\pi\) | |||||||
\(258\) | 303.099 | + | 524.982i | 0.0731399 | + | 0.126682i | ||||
\(259\) | 1800.50 | − | 3118.56i | 0.431960 | − | 0.748177i | ||||
\(260\) | −586.166 | + | 3324.31i | −0.139817 | + | 0.792943i | ||||
\(261\) | 5.98070 | − | 5.01840i | 0.00141838 | − | 0.00119016i | ||||
\(262\) | −528.695 | − | 443.627i | −0.124667 | − | 0.104608i | ||||
\(263\) | −485.151 | − | 2751.43i | −0.113748 | − | 0.645096i | −0.987363 | − | 0.158478i | \(-0.949341\pi\) |
0.873615 | − | 0.486618i | \(-0.161770\pi\) | |||||||
\(264\) | −1253.92 | − | 456.388i | −0.292323 | − | 0.106397i | ||||
\(265\) | −5555.00 | −1.28770 | ||||||||
\(266\) | −4072.30 | + | 3430.14i | −0.938680 | + | 0.790659i | ||||
\(267\) | 1550.73 | 0.355442 | ||||||||
\(268\) | −247.337 | − | 90.0232i | −0.0563750 | − | 0.0205188i | ||||
\(269\) | −498.369 | − | 2826.39i | −0.112960 | − | 0.640625i | −0.987740 | − | 0.156106i | \(-0.950106\pi\) |
0.874781 | − | 0.484519i | \(-0.161005\pi\) | |||||||
\(270\) | −3081.57 | − | 2585.74i | −0.694586 | − | 0.582827i | ||||
\(271\) | 1372.02 | − | 1151.26i | 0.307544 | − | 0.258060i | −0.475932 | − | 0.879482i | \(-0.657889\pi\) |
0.783476 | + | 0.621422i | \(0.213445\pi\) | |||||||
\(272\) | −0.735203 | + | 4.16955i | −0.000163891 | + | 0.000929470i | ||||
\(273\) | 4915.93 | − | 8514.65i | 1.08984 | − | 1.88766i | ||||
\(274\) | −827.599 | − | 1433.44i | −0.182471 | − | 0.316049i | ||||
\(275\) | 2410.03 | − | 877.178i | 0.528473 | − | 0.192348i | ||||
\(276\) | 3203.91 | − | 1166.13i | 0.698741 | − | 0.254321i | ||||
\(277\) | −2974.62 | − | 5152.19i | −0.645225 | − | 1.11756i | −0.984249 | − | 0.176785i | \(-0.943430\pi\) |
0.339024 | − | 0.940778i | \(-0.389903\pi\) | |||||||
\(278\) | −2110.67 | + | 3655.78i | −0.455357 | + | 0.788702i | ||||
\(279\) | −4.16091 | + | 23.5977i | −0.000892858 | + | 0.00506365i | ||||
\(280\) | −2818.76 | + | 2365.22i | −0.601618 | + | 0.504818i | ||||
\(281\) | −264.606 | − | 222.031i | −0.0561747 | − | 0.0471361i | 0.614268 | − | 0.789097i | \(-0.289451\pi\) |
−0.670443 | + | 0.741961i | \(0.733896\pi\) | |||||||
\(282\) | −161.630 | − | 916.649i | −0.0341309 | − | 0.193566i | ||||
\(283\) | −4237.39 | − | 1542.28i | −0.890058 | − | 0.323955i | −0.143797 | − | 0.989607i | \(-0.545931\pi\) |
−0.746262 | + | 0.665652i | \(0.768153\pi\) | |||||||
\(284\) | 2117.82 | 0.442499 | ||||||||
\(285\) | 4715.25 | + | 3941.48i | 0.980026 | + | 0.819204i | ||||
\(286\) | 3793.82 | 0.784382 | ||||||||
\(287\) | −5785.07 | − | 2105.59i | −1.18983 | − | 0.433064i | ||||
\(288\) | 0.584038 | + | 3.31225i | 0.000119496 | + | 0.000677694i | ||||
\(289\) | −3763.52 | − | 3157.97i | −0.766034 | − | 0.642778i | ||||
\(290\) | −1628.41 | + | 1366.39i | −0.329735 | + | 0.276681i | ||||
\(291\) | −1515.60 | + | 8595.40i | −0.305313 | + | 1.73152i | ||||
\(292\) | −769.666 | + | 1333.10i | −0.154251 | + | 0.267171i | ||||
\(293\) | −439.298 | − | 760.887i | −0.0875907 | − | 0.151712i | 0.818902 | − | 0.573934i | \(-0.194583\pi\) |
−0.906492 | + | 0.422222i | \(0.861250\pi\) | |||||||
\(294\) | 6728.00 | − | 2448.79i | 1.33464 | − | 0.485770i | ||||
\(295\) | 5020.44 | − | 1827.29i | 0.990852 | − | 0.360640i | ||||
\(296\) | 448.096 | + | 776.125i | 0.0879900 | + | 0.152403i | ||||
\(297\) | −2260.55 | + | 3915.39i | −0.441651 | + | 0.764962i | ||||
\(298\) | −491.605 | + | 2788.03i | −0.0955635 | + | 0.541968i | ||||
\(299\) | −7425.78 | + | 6230.97i | −1.43627 | + | 1.20517i | ||||
\(300\) | 1267.15 | + | 1063.26i | 0.243863 | + | 0.204625i | ||||
\(301\) | −326.236 | − | 1850.18i | −0.0624715 | − | 0.354293i | ||||
\(302\) | 1461.72 | + | 532.024i | 0.278519 | + | 0.101373i | ||||
\(303\) | −9519.78 | −1.80494 | ||||||||
\(304\) | −232.556 | − | 1304.54i | −0.0438749 | − | 0.246120i | ||||
\(305\) | 7452.66 | 1.39914 | ||||||||
\(306\) | 0.0522702 | + | 0.0190248i | 9.76499e−6 | + | 3.55417e-6i | ||||
\(307\) | 727.986 | + | 4128.61i | 0.135337 | + | 0.767532i | 0.974625 | + | 0.223845i | \(0.0718611\pi\) |
−0.839288 | + | 0.543687i | \(0.817028\pi\) | |||||||
\(308\) | 3167.99 | + | 2658.26i | 0.586082 | + | 0.491781i | ||||
\(309\) | 5554.91 | − | 4661.13i | 1.02268 | − | 0.858130i | ||||
\(310\) | 1132.92 | − | 6425.11i | 0.207566 | − | 1.17717i | ||||
\(311\) | 4805.18 | − | 8322.82i | 0.876131 | − | 1.51750i | 0.0205789 | − | 0.999788i | \(-0.493449\pi\) |
0.855553 | − | 0.517716i | \(-0.173218\pi\) | |||||||
\(312\) | 1223.44 | + | 2119.06i | 0.221999 | + | 0.384514i | ||||
\(313\) | 2612.86 | − | 951.005i | 0.471846 | − | 0.171738i | −0.0951423 | − | 0.995464i | \(-0.530331\pi\) |
0.566988 | + | 0.823726i | \(0.308108\pi\) | |||||||
\(314\) | 6776.81 | − | 2466.56i | 1.21795 | − | 0.443299i | ||||
\(315\) | 24.1716 | + | 41.8664i | 0.00432354 | + | 0.00748859i | ||||
\(316\) | −1020.58 | + | 1767.70i | −0.181684 | + | 0.314686i | ||||
\(317\) | 86.1475 | − | 488.567i | 0.0152635 | − | 0.0865635i | −0.976224 | − | 0.216762i | \(-0.930450\pi\) |
0.991488 | + | 0.130199i | \(0.0415615\pi\) | |||||||
\(318\) | −3084.62 | + | 2588.30i | −0.543952 | + | 0.456430i | ||||
\(319\) | 1830.16 | + | 1535.69i | 0.321220 | + | 0.269536i | ||||
\(320\) | −159.020 | − | 901.848i | −0.0277797 | − | 0.157546i | ||||
\(321\) | 695.149 | + | 253.013i | 0.120870 | + | 0.0439932i | ||||
\(322\) | −10566.8 | −1.82877 | ||||||||
\(323\) | −20.6077 | − | 7.45674i | −0.00354998 | − | 0.00128453i | ||||
\(324\) | −2904.60 | −0.498046 | ||||||||
\(325\) | −4419.29 | − | 1608.49i | −0.754271 | − | 0.274532i | ||||
\(326\) | 841.927 | + | 4774.81i | 0.143037 | + | 0.811203i | ||||
\(327\) | 7352.95 | + | 6169.86i | 1.24348 | + | 1.04341i | ||||
\(328\) | 1173.69 | − | 984.845i | 0.197580 | − | 0.165790i | ||||
\(329\) | −500.921 | + | 2840.86i | −0.0839413 | + | 0.476055i | ||||
\(330\) | 2386.68 | − | 4133.85i | 0.398129 | − | 0.689579i | ||||
\(331\) | 1854.52 | + | 3212.13i | 0.307957 | + | 0.533398i | 0.977915 | − | 0.209001i | \(-0.0670213\pi\) |
−0.669958 | + | 0.742399i | \(0.733688\pi\) | |||||||
\(332\) | −5110.08 | + | 1859.92i | −0.844735 | + | 0.307458i | ||||
\(333\) | 11.0641 | − | 4.02702i | 0.00182075 | − | 0.000662700i | ||||
\(334\) | 2268.80 | + | 3929.68i | 0.371687 | + | 0.643781i | ||||
\(335\) | 470.776 | − | 815.408i | 0.0767798 | − | 0.132987i | ||||
\(336\) | −463.167 | + | 2626.75i | −0.0752019 | + | 0.426491i | ||||
\(337\) | 4763.15 | − | 3996.76i | 0.769927 | − | 0.646045i | −0.170763 | − | 0.985312i | \(-0.554623\pi\) |
0.940690 | + | 0.339267i | \(0.110179\pi\) | |||||||
\(338\) | −1963.19 | − | 1647.31i | −0.315928 | − | 0.265095i | ||||
\(339\) | −477.407 | − | 2707.51i | −0.0764873 | − | 0.433781i | ||||
\(340\) | −14.2320 | − | 5.18001i | −0.00227011 | − | 0.000826252i | ||||
\(341\) | −7332.55 | −1.16446 | ||||||||
\(342\) | −17.4093 | + | 0.0327368i | −0.00275259 | + | 5.17603e-6i | ||||
\(343\) | −11163.8 | −1.75740 | ||||||||
\(344\) | 439.364 | + | 159.916i | 0.0688632 | + | 0.0250641i | ||||
\(345\) | 2117.90 | + | 12011.2i | 0.330505 | + | 1.87439i | ||||
\(346\) | 2513.55 | + | 2109.12i | 0.390548 | + | 0.327708i | ||||
\(347\) | 2170.03 | − | 1820.87i | 0.335715 | − | 0.281698i | −0.459309 | − | 0.888277i | \(-0.651903\pi\) |
0.795024 | + | 0.606578i | \(0.207458\pi\) | |||||||
\(348\) | −267.573 | + | 1517.48i | −0.0412167 | + | 0.233752i | ||||
\(349\) | −5409.94 | + | 9370.29i | −0.829763 | + | 1.43719i | 0.0684604 | + | 0.997654i | \(0.478191\pi\) |
−0.898224 | + | 0.439538i | \(0.855142\pi\) | |||||||
\(350\) | −2563.25 | − | 4439.67i | −0.391461 | − | 0.678030i | ||||
\(351\) | 7790.41 | − | 2835.48i | 1.18468 | − | 0.431187i | ||||
\(352\) | −967.150 | + | 352.014i | −0.146447 | + | 0.0533022i | ||||
\(353\) | 3635.71 | + | 6297.24i | 0.548185 | + | 0.949485i | 0.998399 | + | 0.0565638i | \(0.0180144\pi\) |
−0.450214 | + | 0.892921i | \(0.648652\pi\) | |||||||
\(354\) | 1936.37 | − | 3353.90i | 0.290726 | − | 0.503553i | ||||
\(355\) | −1315.53 | + | 7460.75i | −0.196679 | + | 1.11542i | ||||
\(356\) | 916.251 | − | 768.826i | 0.136408 | − | 0.114460i | ||||
\(357\) | 33.7924 | + | 28.3552i | 0.00500975 | + | 0.00420368i | ||||
\(358\) | −797.393 | − | 4522.24i | −0.117719 | − | 0.667620i | ||||
\(359\) | −9893.45 | − | 3600.92i | −1.45447 | − | 0.529385i | −0.510637 | − | 0.859796i | \(-0.670590\pi\) |
−0.943837 | + | 0.330411i | \(0.892813\pi\) | |||||||
\(360\) | −12.0313 | −0.00176140 | ||||||||
\(361\) | 6858.95 | − | 25.7956i | 0.999993 | − | 0.00376083i | ||||
\(362\) | −3222.22 | −0.467834 | ||||||||
\(363\) | 1445.10 | + | 525.973i | 0.208948 | + | 0.0760507i | ||||
\(364\) | −1316.83 | − | 7468.14i | −0.189618 | − | 1.07538i | ||||
\(365\) | −4218.21 | − | 3539.50i | −0.604907 | − | 0.507577i | ||||
\(366\) | 4138.36 | − | 3472.50i | 0.591026 | − | 0.495930i | ||||
\(367\) | 1133.06 | − | 6425.91i | 0.161159 | − | 0.913977i | −0.791778 | − | 0.610809i | \(-0.790844\pi\) |
0.952937 | − | 0.303168i | \(-0.0980445\pi\) | |||||||
\(368\) | 1314.89 | − | 2277.46i | 0.186259 | − | 0.322610i | ||||
\(369\) | −10.0647 | − | 17.4326i | −0.00141991 | − | 0.00245936i | ||||
\(370\) | −3012.51 | + | 1096.46i | −0.423278 | + | 0.154061i | ||||
\(371\) | 11726.8 | − | 4268.22i | 1.64104 | − | 0.597290i | ||||
\(372\) | −2364.63 | − | 4095.65i | −0.329570 | − | 0.570832i | ||||
\(373\) | −1204.11 | + | 2085.58i | −0.167149 | + | 0.289510i | −0.937416 | − | 0.348211i | \(-0.886789\pi\) |
0.770268 | + | 0.637721i | \(0.220123\pi\) | |||||||
\(374\) | −2.95580 | + | 16.7632i | −0.000408665 | + | 0.00231766i | ||||
\(375\) | 2572.78 | − | 2158.82i | 0.354287 | − | 0.297282i | ||||
\(376\) | −549.959 | − | 461.471i | −0.0754308 | − | 0.0632940i | ||||
\(377\) | −760.739 | − | 4314.37i | −0.103926 | − | 0.589393i | ||||
\(378\) | 8492.08 | + | 3090.87i | 1.15552 | + | 0.420574i | ||||
\(379\) | 11466.3 | 1.55405 | 0.777023 | − | 0.629473i | \(-0.216729\pi\) | ||||
0.777023 | + | 0.629473i | \(0.216729\pi\) | |||||||
\(380\) | 4740.14 | − | 8.91347i | 0.639906 | − | 0.00120329i | ||||
\(381\) | −4099.35 | −0.551223 | ||||||||
\(382\) | −2030.13 | − | 738.906i | −0.271912 | − | 0.0989678i | ||||
\(383\) | 773.276 | + | 4385.46i | 0.103166 | + | 0.585083i | 0.991937 | + | 0.126732i | \(0.0404487\pi\) |
−0.888771 | + | 0.458351i | \(0.848440\pi\) | |||||||
\(384\) | −508.509 | − | 426.690i | −0.0675775 | − | 0.0567042i | ||||
\(385\) | −11332.5 | + | 9509.10i | −1.50015 | + | 1.25878i | ||||
\(386\) | 201.802 | − | 1144.47i | 0.0266100 | − | 0.150913i | ||||
\(387\) | 3.07143 | − | 5.31987i | 0.000403435 | − | 0.000698770i | ||||
\(388\) | 3365.97 | + | 5830.03i | 0.440415 | + | 0.762822i | ||||
\(389\) | −7722.34 | + | 2810.70i | −1.00652 | + | 0.366345i | −0.792097 | − | 0.610395i | \(-0.791011\pi\) |
−0.214427 | + | 0.976740i | \(0.568789\pi\) | |||||||
\(390\) | −8225.10 | + | 2993.69i | −1.06793 | + | 0.388696i | ||||
\(391\) | −21.7464 | − | 37.6658i | −0.00281269 | − | 0.00487172i | ||||
\(392\) | 2761.18 | − | 4782.51i | 0.355768 | − | 0.616208i | ||||
\(393\) | 310.761 | − | 1762.41i | 0.0398875 | − | 0.226213i | ||||
\(394\) | 2274.40 | − | 1908.45i | 0.290819 | − | 0.244026i | ||||
\(395\) | −5593.37 | − | 4693.40i | −0.712489 | − | 0.597849i | ||||
\(396\) | 2.34806 | + | 13.3165i | 0.000297966 | + | 0.00168985i | ||||
\(397\) | 3223.91 | + | 1173.41i | 0.407566 | + | 0.148342i | 0.537664 | − | 0.843159i | \(-0.319307\pi\) |
−0.130098 | + | 0.991501i | \(0.541529\pi\) | |||||||
\(398\) | −1848.68 | −0.232829 | ||||||||
\(399\) | −12982.5 | − | 4697.63i | −1.62892 | − | 0.589413i | ||||
\(400\) | 1275.85 | 0.159481 | ||||||||
\(401\) | −1439.78 | − | 524.035i | −0.179299 | − | 0.0652595i | 0.250811 | − | 0.968036i | \(-0.419303\pi\) |
−0.430110 | + | 0.902777i | \(0.641525\pi\) | |||||||
\(402\) | −118.516 | − | 672.139i | −0.0147041 | − | 0.0833911i | ||||
\(403\) | 10300.1 | + | 8642.78i | 1.27316 | + | 1.06831i | ||||
\(404\) | −5624.78 | + | 4719.75i | −0.692682 | + | 0.581229i | ||||
\(405\) | 1804.26 | − | 10232.5i | 0.221369 | − | 1.25544i | ||||
\(406\) | 2387.75 | − | 4135.71i | 0.291877 | − | 0.505546i | ||||
\(407\) | 1801.52 | + | 3120.32i | 0.219405 | + | 0.380021i | ||||
\(408\) | −10.3164 | + | 3.75486i | −0.00125181 | + | 0.000455621i | ||||
\(409\) | 14114.3 | − | 5137.18i | 1.70637 | − | 0.621068i | 0.709846 | − | 0.704357i | \(-0.248765\pi\) |
0.996525 | + | 0.0832886i | \(0.0265423\pi\) | |||||||
\(410\) | 2740.39 | + | 4746.49i | 0.330093 | + | 0.571738i | ||||
\(411\) | 2145.98 | − | 3716.94i | 0.257550 | − | 0.446090i | ||||
\(412\) | 971.222 | − | 5508.08i | 0.116138 | − | 0.658649i | ||||
\(413\) | −9194.34 | + | 7714.97i | −1.09546 | + | 0.919198i | ||||
\(414\) | −26.4670 | − | 22.2084i | −0.00314198 | − | 0.00263644i | ||||
\(415\) | −3377.95 | − | 19157.3i | −0.399560 | − | 2.26601i | ||||
\(416\) | 1773.47 | + | 645.491i | 0.209018 | + | 0.0760765i | ||||
\(417\) | −10946.0 | −1.28544 | ||||||||
\(418\) | −934.964 | − | 5244.75i | −0.109403 | − | 0.613706i | ||||
\(419\) | −1478.31 | −0.172363 | −0.0861816 | − | 0.996279i | \(-0.527467\pi\) | ||||
−0.0861816 | + | 0.996279i | \(0.527467\pi\) | |||||||
\(420\) | −8965.92 | − | 3263.33i | −1.04165 | − | 0.379129i | ||||
\(421\) | −1158.17 | − | 6568.32i | −0.134076 | − | 0.760381i | −0.975499 | − | 0.220004i | \(-0.929393\pi\) |
0.841423 | − | 0.540377i | \(-0.181718\pi\) | |||||||
\(422\) | −1435.93 | − | 1204.89i | −0.165640 | − | 0.138988i | ||||
\(423\) | −7.22540 | + | 6.06283i | −0.000830522 | + | 0.000696891i | ||||
\(424\) | −539.315 | + | 3058.61i | −0.0617723 | + | 0.350328i | ||||
\(425\) | 10.5503 | − | 18.2737i | 0.00120415 | − | 0.00208566i | ||||
\(426\) | 2745.77 | + | 4755.82i | 0.312284 | + | 0.540892i | ||||
\(427\) | −15732.9 | + | 5726.29i | −1.78306 | + | 0.648981i | ||||
\(428\) | 536.170 | − | 195.150i | 0.0605532 | − | 0.0220396i | ||||
\(429\) | 4918.71 | + | 8519.46i | 0.553561 | + | 0.958796i | ||||
\(430\) | −836.278 | + | 1448.48i | −0.0937882 | + | 0.162446i | ||||
\(431\) | 2598.26 | − | 14735.4i | 0.290380 | − | 1.64682i | −0.395031 | − | 0.918668i | \(-0.629266\pi\) |
0.685410 | − | 0.728157i | \(-0.259623\pi\) | |||||||
\(432\) | −1722.90 | + | 1445.68i | −0.191882 | + | 0.161008i | ||||
\(433\) | 1412.71 | + | 1185.40i | 0.156791 | + | 0.131563i | 0.717808 | − | 0.696241i | \(-0.245145\pi\) |
−0.561017 | + | 0.827804i | \(0.689590\pi\) | |||||||
\(434\) | 2545.13 | + | 14434.2i | 0.281498 | + | 1.59646i | ||||
\(435\) | −5179.64 | − | 1885.23i | −0.570907 | − | 0.207793i | ||||
\(436\) | 7403.43 | 0.813211 | ||||||||
\(437\) | 10444.0 | + | 8730.16i | 1.14326 | + | 0.955652i | ||||
\(438\) | −3991.51 | −0.435438 | ||||||||
\(439\) | 6583.90 | + | 2396.34i | 0.715791 | + | 0.260527i | 0.674138 | − | 0.738606i | \(-0.264515\pi\) |
0.0416531 | + | 0.999132i | \(0.486738\pi\) | |||||||
\(440\) | −639.322 | − | 3625.78i | −0.0692693 | − | 0.392846i | ||||
\(441\) | −55.5790 | − | 46.6363i | −0.00600140 | − | 0.00503577i | ||||
\(442\) | 23.9106 | − | 20.0634i | 0.00257310 | − | 0.00215909i | ||||
\(443\) | −616.463 | + | 3496.14i | −0.0661152 | + | 0.374958i | 0.933740 | + | 0.357952i | \(0.116525\pi\) |
−0.999855 | + | 0.0170065i | \(0.994586\pi\) | |||||||
\(444\) | −1161.92 | + | 2012.50i | −0.124194 | + | 0.215111i | ||||
\(445\) | 2139.30 | + | 3705.38i | 0.227894 | + | 0.394723i | ||||
\(446\) | −745.840 | + | 271.464i | −0.0791851 | + | 0.0288210i | ||||
\(447\) | −6898.22 | + | 2510.75i | −0.729921 | + | 0.265669i | ||||
\(448\) | 1028.64 | + | 1781.65i | 0.108479 | + | 0.187891i | ||||
\(449\) | −4090.78 | + | 7085.43i | −0.429968 | + | 0.744727i | −0.996870 | − | 0.0790586i | \(-0.974809\pi\) |
0.566902 | + | 0.823785i | \(0.308142\pi\) | |||||||
\(450\) | 2.91071 | − | 16.5075i | 0.000304916 | − | 0.00172927i | ||||
\(451\) | 4718.70 | − | 3959.46i | 0.492671 | − | 0.413400i | ||||
\(452\) | −1624.42 | − | 1363.05i | −0.169040 | − | 0.141842i | ||||
\(453\) | 700.413 | + | 3972.24i | 0.0726452 | + | 0.411992i | ||||
\(454\) | 1231.67 | + | 448.290i | 0.127324 | + | 0.0463421i | ||||
\(455\) | 27127.1 | 2.79503 | ||||||||
\(456\) | 2627.98 | − | 2213.57i | 0.269883 | − | 0.227325i | ||||
\(457\) | 7016.94 | 0.718247 | 0.359123 | − | 0.933290i | \(-0.383076\pi\) | ||||
0.359123 | + | 0.933290i | \(0.383076\pi\) | |||||||
\(458\) | −3681.13 | − | 1339.82i | −0.375563 | − | 0.136694i | ||||
\(459\) | 6.45912 | + | 36.6315i | 0.000656832 | + | 0.00372508i | ||||
\(460\) | 7206.34 | + | 6046.84i | 0.730429 | + | 0.612903i | ||||
\(461\) | 6345.80 | − | 5324.75i | 0.641113 | − | 0.537958i | −0.263247 | − | 0.964729i | \(-0.584793\pi\) |
0.904360 | + | 0.426771i | \(0.140349\pi\) | |||||||
\(462\) | −1862.11 | + | 10560.6i | −0.187518 | + | 1.06347i | ||||
\(463\) | −7920.19 | + | 13718.2i | −0.794994 | + | 1.37697i | 0.127848 | + | 0.991794i | \(0.459193\pi\) |
−0.922843 | + | 0.385177i | \(0.874140\pi\) | |||||||
\(464\) | 594.247 | + | 1029.27i | 0.0594552 | + | 0.102979i | ||||
\(465\) | 15897.2 | − | 5786.10i | 1.58541 | − | 0.577041i | ||||
\(466\) | −7921.74 | + | 2883.28i | −0.787484 | + | 0.286621i | ||||
\(467\) | −6952.32 | − | 12041.8i | −0.688897 | − | 1.19320i | −0.972195 | − | 0.234172i | \(-0.924762\pi\) |
0.283298 | − | 0.959032i | \(-0.408571\pi\) | |||||||
\(468\) | 12.3977 | − | 21.4734i | 0.00122453 | − | 0.00212096i | ||||
\(469\) | −367.304 | + | 2083.08i | −0.0361631 | + | 0.205091i | ||||
\(470\) | 1967.31 | − | 1650.77i | 0.193075 | − | 0.162009i | ||||
\(471\) | 14325.1 | + | 12020.2i | 1.40142 | + | 1.17593i | ||||
\(472\) | −518.698 | − | 2941.68i | −0.0505826 | − | 0.286868i | ||||
\(473\) | 1766.41 | + | 642.922i | 0.171712 | + | 0.0624981i | ||||
\(474\) | −5292.77 | −0.512880 | ||||||||
\(475\) | −1134.54 | + | 6505.84i | −0.109593 | + | 0.628438i | ||||
\(476\) | 34.0243 | 0.00327627 | ||||||||
\(477\) | 38.3433 | + | 13.9558i | 0.00368054 | + | 0.00133961i | ||||
\(478\) | 1888.91 | + | 10712.6i | 0.180746 | + | 1.02506i | ||||
\(479\) | −6966.95 | − | 5845.97i | −0.664568 | − | 0.557639i | 0.246884 | − | 0.969045i | \(-0.420593\pi\) |
−0.911452 | + | 0.411406i | \(0.865038\pi\) | |||||||
\(480\) | 1819.03 | − | 1526.35i | 0.172973 | − | 0.145142i | ||||
\(481\) | 1147.28 | − | 6506.55i | 0.108756 | − | 0.616784i | ||||
\(482\) | 3375.57 | − | 5846.66i | 0.318990 | − | 0.552507i | ||||
\(483\) | −13699.9 | − | 23728.9i | −1.29061 | − | 2.23541i | ||||
\(484\) | 1114.61 | − | 405.684i | 0.104678 | − | 0.0380996i | ||||
\(485\) | −22629.1 | + | 8236.32i | −2.11863 | + | 0.771118i | ||||
\(486\) | 29.4913 | + | 51.0805i | 0.00275258 | + | 0.00476761i | ||||
\(487\) | −6539.74 | + | 11327.2i | −0.608509 | + | 1.05397i | 0.382978 | + | 0.923758i | \(0.374899\pi\) |
−0.991486 | + | 0.130210i | \(0.958435\pi\) | |||||||
\(488\) | 723.552 | − | 4103.47i | 0.0671181 | − | 0.380646i | ||||
\(489\) | −9630.82 | + | 8081.22i | −0.890635 | + | 0.747332i | ||||
\(490\) | 15132.9 | + | 12698.0i | 1.39517 | + | 1.17069i | ||||
\(491\) | 1598.66 | + | 9066.44i | 0.146938 | + | 0.833326i | 0.965791 | + | 0.259322i | \(0.0834992\pi\) |
−0.818853 | + | 0.574003i | \(0.805390\pi\) | |||||||
\(492\) | 3733.28 | + | 1358.80i | 0.342092 | + | 0.124511i | ||||
\(493\) | 19.6560 | 0.00179566 | ||||||||
\(494\) | −4868.57 | + | 8469.35i | −0.443416 | + | 0.771365i | ||||
\(495\) | −48.3705 | −0.00439211 | ||||||||
\(496\) | −3427.70 | − | 1247.58i | −0.310299 | − | 0.112940i | ||||
\(497\) | −2955.37 | − | 16760.7i | −0.266733 | − | 1.51272i | ||||
\(498\) | −10801.9 | − | 9063.88i | −0.971978 | − | 0.815587i | ||||
\(499\) | 2832.41 | − | 2376.67i | 0.254100 | − | 0.213215i | −0.506835 | − | 0.862043i | \(-0.669185\pi\) |
0.760935 | + | 0.648828i | \(0.224740\pi\) | |||||||
\(500\) | 449.825 | − | 2551.08i | 0.0402335 | − | 0.228176i | ||||
\(501\) | −5883.04 | + | 10189.7i | −0.524621 | + | 0.908670i | ||||
\(502\) | −2299.60 | − | 3983.03i | −0.204455 | − | 0.354126i | ||||
\(503\) | 14969.5 | − | 5448.45i | 1.32695 | − | 0.482971i | 0.421272 | − | 0.906934i | \(-0.361584\pi\) |
0.905679 | + | 0.423963i | \(0.139361\pi\) | |||||||
\(504\) | 25.3986 | − | 9.24432i | 0.00224473 | − | 0.000817014i | ||||
\(505\) | −13133.0 | − | 22747.0i | −1.15725 | − | 2.00441i | ||||
\(506\) | 5286.37 | − | 9156.25i | 0.464442 | − | 0.804437i | ||||
\(507\) | 1153.94 | − | 6544.33i | 0.101082 | − | 0.573262i | ||||
\(508\) | −2422.11 | + | 2032.39i | −0.211543 | + | 0.177505i | ||||
\(509\) | −12873.5 | − | 10802.2i | −1.12104 | − | 0.940662i | −0.122381 | − | 0.992483i | \(-0.539053\pi\) |
−0.998656 | + | 0.0518208i | \(0.983498\pi\) | |||||||
\(510\) | −6.81953 | − | 38.6754i | −0.000592105 | − | 0.00335800i | ||||
\(511\) | 11624.4 | + | 4230.94i | 1.00633 | + | 0.366273i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | −5839.80 | − | 10071.0i | −0.502599 | − | 0.866759i | ||||
\(514\) | 5022.21 | 0.430973 | ||||||||
\(515\) | 18800.8 | + | 6842.93i | 1.60866 | + | 0.585506i | ||||
\(516\) | 210.530 | + | 1193.98i | 0.0179614 | + | 0.101864i | ||||
\(517\) | −2211.05 | − | 1855.29i | −0.188089 | − | 0.157825i | ||||
\(518\) | 5517.05 | − | 4629.36i | 0.467964 | − | 0.392668i | ||||
\(519\) | −1477.44 | + | 8378.97i | −0.124956 | + | 0.708662i | ||||
\(520\) | −3375.60 | + | 5846.70i | −0.284672 | + | 0.493067i | ||||
\(521\) | 1774.76 | + | 3073.97i | 0.149239 | + | 0.258489i | 0.930946 | − | 0.365156i | \(-0.118984\pi\) |
−0.781707 | + | 0.623645i | \(0.785651\pi\) | |||||||
\(522\) | 14.6728 | − | 5.34047i | 0.00123029 | − | 0.000447789i | ||||
\(523\) | −4118.94 | + | 1499.17i | −0.344376 | + | 0.125343i | −0.508417 | − | 0.861111i | \(-0.669769\pi\) |
0.164041 | + | 0.986453i | \(0.447547\pi\) | |||||||
\(524\) | −690.162 | − | 1195.40i | −0.0575379 | − | 0.0996586i | ||||
\(525\) | 6646.54 | − | 11512.1i | 0.552531 | − | 0.957011i | ||||
\(526\) | 970.301 | − | 5502.85i | 0.0804318 | − | 0.456152i | ||||
\(527\) | −46.2135 | + | 38.7777i | −0.00381991 | + | 0.00320528i | ||||
\(528\) | −2044.40 | − | 1715.46i | −0.168506 | − | 0.141393i | ||||
\(529\) | 2578.26 | + | 14622.0i | 0.211906 | + | 1.20178i | ||||
\(530\) | −10440.0 | − | 3799.84i | −0.855630 | − | 0.311424i | ||||
\(531\) | −39.2442 | −0.00320725 | ||||||||
\(532\) | −9999.78 | + | 3660.93i | −0.814935 | + | 0.298349i | ||||
\(533\) | −11295.3 | −0.917927 | ||||||||
\(534\) | 2914.41 | + | 1060.76i | 0.236178 | + | 0.0859617i | ||||
\(535\) | 354.429 | + | 2010.06i | 0.0286417 | + | 0.162435i | ||||
\(536\) | −403.261 | − | 338.376i | −0.0324967 | − | 0.0272680i | ||||
\(537\) | 9121.39 | − | 7653.76i | 0.732993 | − | 0.615054i | ||||
\(538\) | 996.739 | − | 5652.79i | 0.0798745 | − | 0.452991i | ||||
\(539\) | 11101.0 | − | 19227.6i | 0.887116 | − | 1.53653i | ||||
\(540\) | −4022.70 | − | 6967.52i | −0.320573 | − | 0.555249i | ||||
\(541\) | −10725.9 | + | 3903.90i | −0.852387 | + | 0.310244i | −0.731013 | − | 0.682363i | \(-0.760952\pi\) |
−0.121374 | + | 0.992607i | \(0.538730\pi\) | |||||||
\(542\) | 3366.07 | − | 1225.15i | 0.266762 | − | 0.0970935i | ||||
\(543\) | −4177.63 | − | 7235.87i | −0.330164 | − | 0.571862i | ||||
\(544\) | −4.23387 | + | 7.33327i | −0.000333687 | + | 0.000577962i | ||||
\(545\) | −4598.80 | + | 26081.1i | −0.361451 | + | 2.04989i | ||||
\(546\) | 15063.3 | − | 12639.6i | 1.18068 | − | 0.990706i | ||||
\(547\) | 1213.07 | + | 1017.89i | 0.0948213 | + | 0.0795645i | 0.688966 | − | 0.724794i | \(-0.258065\pi\) |
−0.594145 | + | 0.804358i | \(0.702509\pi\) | |||||||
\(548\) | −574.844 | − | 3260.10i | −0.0448104 | − | 0.254133i | ||||
\(549\) | −51.4418 | − | 18.7233i | −0.00399906 | − | 0.00145554i | ||||
\(550\) | 5129.39 | 0.397669 | ||||||||
\(551\) | −5776.90 | + | 2114.93i | −0.446650 | + | 0.163519i | ||||
\(552\) | 6819.06 | 0.525794 | ||||||||
\(553\) | 15414.0 | + | 5610.25i | 1.18530 | + | 0.431414i | ||||
\(554\) | −2066.15 | − | 11717.7i | −0.158452 | − | 0.898623i | ||||
\(555\) | −6367.98 | − | 5343.37i | −0.487037 | − | 0.408673i | ||||
\(556\) | −6467.46 | + | 5426.84i | −0.493312 | + | 0.413938i | ||||
\(557\) | −1548.91 | + | 8784.28i | −0.117826 | + | 0.668226i | 0.867486 | + | 0.497462i | \(0.165735\pi\) |
−0.985312 | + | 0.170764i | \(0.945376\pi\) | |||||||
\(558\) | −23.9617 | + | 41.5030i | −0.00181789 | + | 0.00314867i | ||||
\(559\) | −1723.49 | − | 2985.16i | −0.130404 | − | 0.225866i | ||||
\(560\) | −6915.44 | + | 2517.01i | −0.521841 | + | 0.189934i | ||||
\(561\) | −41.4759 | + | 15.0960i | −0.00312142 | + | 0.00113610i | ||||
\(562\) | −345.419 | − | 598.283i | −0.0259264 | − | 0.0449058i | ||||
\(563\) | −3682.64 | + | 6378.53i | −0.275675 | + | 0.477483i | −0.970305 | − | 0.241884i | \(-0.922235\pi\) |
0.694630 | + | 0.719367i | \(0.255568\pi\) | |||||||
\(564\) | 323.260 | − | 1833.30i | 0.0241342 | − | 0.136872i | ||||
\(565\) | 5810.85 | − | 4875.88i | 0.432680 | − | 0.363061i | ||||
\(566\) | −6908.70 | − | 5797.09i | −0.513064 | − | 0.430512i | ||||
\(567\) | 4053.31 | + | 22987.5i | 0.300217 | + | 1.70261i | ||||
\(568\) | 3980.20 | + | 1448.68i | 0.294024 | + | 0.107016i | ||||
\(569\) | 4526.52 | 0.333500 | 0.166750 | − | 0.985999i | \(-0.446673\pi\) | ||||
0.166750 | + | 0.985999i | \(0.446673\pi\) | |||||||
\(570\) | 6165.64 | + | 10633.0i | 0.453071 | + | 0.781345i | ||||
\(571\) | −7339.30 | −0.537899 | −0.268949 | − | 0.963154i | \(-0.586676\pi\) | ||||
−0.268949 | + | 0.963154i | \(0.586676\pi\) | |||||||
\(572\) | 7130.05 | + | 2595.12i | 0.521193 | + | 0.189699i | ||||
\(573\) | −972.775 | − | 5516.88i | −0.0709220 | − | 0.402218i | ||||
\(574\) | −9432.06 | − | 7914.44i | −0.685865 | − | 0.575509i | ||||
\(575\) | −10039.9 | + | 8424.51i | −0.728165 | + | 0.611003i | ||||
\(576\) | −1.16808 | + | 6.62449i | −8.44963e−5 | + | 0.000479202i | ||||
\(577\) | 3730.22 | − | 6460.93i | 0.269135 | − | 0.466156i | −0.699504 | − | 0.714629i | \(-0.746595\pi\) |
0.968639 | + | 0.248473i | \(0.0799288\pi\) | |||||||
\(578\) | −4912.93 | − | 8509.44i | −0.353548 | − | 0.612364i | ||||
\(579\) | 2831.69 | − | 1030.65i | 0.203249 | − | 0.0739765i | ||||
\(580\) | −3995.07 | + | 1454.09i | −0.286011 | + | 0.104099i | ||||
\(581\) | 21850.6 | + | 37846.4i | 1.56027 | + | 2.70247i | ||||
\(582\) | −8728.00 | + | 15117.3i | −0.621628 | + | 1.07669i | ||||
\(583\) | −2168.26 | + | 12296.8i | −0.154031 | + | 0.873552i | ||||
\(584\) | −2358.39 | + | 1978.93i | −0.167108 | + | 0.140220i | ||||
\(585\) | 67.9462 | + | 57.0137i | 0.00480210 | + | 0.00402944i | ||||
\(586\) | −305.133 | − | 1730.50i | −0.0215101 | − | 0.121990i | ||||
\(587\) | −4868.90 | − | 1772.14i | −0.342353 | − | 0.124606i | 0.165121 | − | 0.986273i | \(-0.447198\pi\) |
−0.507474 | + | 0.861667i | \(0.669421\pi\) | |||||||
\(588\) | 14319.6 | 1.00430 | ||||||||
\(589\) | 9409.80 | − | 16369.3i | 0.658275 | − | 1.14513i | ||||
\(590\) | 10685.3 | 0.745603 | ||||||||
\(591\) | 7234.43 | + | 2633.12i | 0.503527 | + | 0.183269i | ||||
\(592\) | 311.244 | + | 1765.15i | 0.0216082 | + | 0.122546i | ||||
\(593\) | 8428.67 | + | 7072.49i | 0.583683 | + | 0.489768i | 0.886154 | − | 0.463390i | \(-0.153367\pi\) |
−0.302471 | + | 0.953158i | \(0.597812\pi\) | |||||||
\(594\) | −6926.72 | + | 5812.21i | −0.478463 | + | 0.401478i | ||||
\(595\) | −21.1350 | + | 119.862i | −0.00145622 | + | 0.00825862i | ||||
\(596\) | −2831.04 | + | 4903.51i | −0.194570 | + | 0.337006i | ||||
\(597\) | −2396.82 | − | 4151.42i | −0.164314 | − | 0.284600i | ||||
\(598\) | −18218.1 | + | 6630.86i | −1.24581 | + | 0.453438i | ||||
\(599\) | −17456.9 | + | 6353.79i | −1.19077 | + | 0.433403i | −0.859992 | − | 0.510307i | \(-0.829532\pi\) |
−0.330774 | + | 0.943710i | \(0.607310\pi\) | |||||||
\(600\) | 1654.14 | + | 2865.06i | 0.112550 | + | 0.194943i | ||||
\(601\) | 5556.85 | − | 9624.75i | 0.377153 | − | 0.653247i | −0.613494 | − | 0.789699i | \(-0.710237\pi\) |
0.990647 | + | 0.136452i | \(0.0435699\pi\) | |||||||
\(602\) | 652.472 | − | 3700.35i | 0.0441740 | − | 0.250523i | ||||
\(603\) | −5.29807 | + | 4.44561i | −0.000357801 | + | 0.000300231i | ||||
\(604\) | 2383.22 | + | 1999.75i | 0.160549 | + | 0.134717i | ||||
\(605\) | 736.798 | + | 4178.59i | 0.0495126 | + | 0.280800i | ||||
\(606\) | −17891.3 | − | 6511.91i | −1.19932 | − | 0.436515i | ||||
\(607\) | −16028.2 | −1.07177 | −0.535884 | − | 0.844292i | \(-0.680022\pi\) | ||||
−0.535884 | + | 0.844292i | \(0.680022\pi\) | |||||||
\(608\) | 455.296 | − | 2610.81i | 0.0303695 | − | 0.174148i | ||||
\(609\) | 12383.0 | 0.823945 | ||||||||
\(610\) | 14006.4 | + | 5097.92i | 0.929677 | + | 0.338375i | ||||
\(611\) | 919.064 | + | 5212.27i | 0.0608533 | + | 0.345116i | ||||
\(612\) | 0.0852221 | + | 0.0715098i | 5.62892e−6 | + | 4.72323e-6i | ||||
\(613\) | 16755.5 | − | 14059.5i | 1.10399 | − | 0.926358i | 0.106304 | − | 0.994334i | \(-0.466098\pi\) |
0.997687 | + | 0.0679752i | \(0.0216539\pi\) | |||||||
\(614\) | −1455.97 | + | 8257.23i | −0.0956975 | + | 0.542727i | ||||
\(615\) | −7105.87 | + | 12307.7i | −0.465912 | + | 0.806984i | ||||
\(616\) | 4135.52 | + | 7162.93i | 0.270495 | + | 0.468511i | ||||
\(617\) | 1309.45 | − | 476.600i | 0.0854398 | − | 0.0310975i | −0.298947 | − | 0.954270i | \(-0.596635\pi\) |
0.384386 | + | 0.923172i | \(0.374413\pi\) | |||||||
\(618\) | 13628.2 | − | 4960.27i | 0.887067 | − | 0.322866i | ||||
\(619\) | −2933.23 | − | 5080.51i | −0.190463 | − | 0.329892i | 0.754941 | − | 0.655793i | \(-0.227666\pi\) |
−0.945404 | + | 0.325901i | \(0.894332\pi\) | |||||||
\(620\) | 6524.23 | − | 11300.3i | 0.422612 | − | 0.731985i | ||||
\(621\) | 4011.95 | − | 22752.9i | 0.259250 | − | 1.47028i | ||||
\(622\) | 14723.9 | − | 12354.8i | 0.949157 | − | 0.796438i | ||||
\(623\) | −7363.20 | − | 6178.46i | −0.473516 | − | 0.397327i | ||||
\(624\) | 849.794 | + | 4819.42i | 0.0545176 | + | 0.309185i | ||||
\(625\) | 18074.1 | + | 6578.42i | 1.15674 | + | 0.421019i | ||||
\(626\) | 5561.11 | 0.355058 | ||||||||
\(627\) | 10565.5 | − | 8899.43i | 0.672960 | − | 0.566840i | ||||
\(628\) | 14423.5 | 0.916495 | ||||||||
\(629\) | 27.8557 | + | 10.1386i | 0.00176579 | + | 0.000642693i | ||||
\(630\) | 16.7894 | + | 95.2175i | 0.00106176 | + | 0.00602152i | ||||
\(631\) | −7998.15 | − | 6711.24i | −0.504598 | − | 0.423408i | 0.354626 | − | 0.935008i | \(-0.384608\pi\) |
−0.859223 | + | 0.511601i | \(0.829053\pi\) | |||||||
\(632\) | −3127.25 | + | 2624.07i | −0.196828 | + | 0.165158i | ||||
\(633\) | 844.023 | − | 4786.69i | 0.0529967 | − | 0.300559i | ||||
\(634\) | 496.103 | − | 859.276i | 0.0310769 | − | 0.0538269i | ||||
\(635\) | −5655.25 | − | 9795.17i | −0.353420 | − | 0.612141i | ||||
\(636\) | −7567.69 | + | 2754.41i | −0.471821 | + | 0.171729i | ||||
\(637\) | −38256.9 | + | 13924.4i | −2.37958 | + | 0.866097i | ||||
\(638\) | 2389.10 | + | 4138.05i | 0.148253 | + | 0.256782i | ||||
\(639\) | 27.8241 | − | 48.1927i | 0.00172254 | − | 0.00298353i | ||||
\(640\) | 318.040 | − | 1803.70i | 0.0196432 | − | 0.111402i | ||||
\(641\) | 3482.55 | − | 2922.21i | 0.214590 | − | 0.180063i | −0.529156 | − | 0.848524i | \(-0.677491\pi\) |
0.743747 | + | 0.668462i | \(0.233047\pi\) | |||||||
\(642\) | 1133.38 | + | 951.019i | 0.0696744 | + | 0.0584638i | ||||
\(643\) | −23.9538 | − | 135.849i | −0.00146912 | − | 0.00833181i | 0.984064 | − | 0.177813i | \(-0.0569021\pi\) |
−0.985534 | + | 0.169481i | \(0.945791\pi\) | |||||||
\(644\) | −19859.0 | − | 7228.09i | −1.21515 | − | 0.442277i | ||||
\(645\) | −4336.96 | −0.264756 | ||||||||
\(646\) | −33.6291 | − | 28.1106i | −0.00204817 | − | 0.00171207i | ||||
\(647\) | −339.837 | −0.0206497 | −0.0103249 | − | 0.999947i | \(-0.503287\pi\) | ||||
−0.0103249 | + | 0.999947i | \(0.503287\pi\) | |||||||
\(648\) | −5458.87 | − | 1986.87i | −0.330933 | − | 0.120450i | ||||
\(649\) | −2085.37 | − | 11826.7i | −0.126129 | − | 0.715313i | ||||
\(650\) | −7205.28 | − | 6045.95i | −0.434791 | − | 0.364833i | ||||
\(651\) | −29113.8 | + | 24429.4i | −1.75278 | + | 1.47076i | ||||
\(652\) | −1683.85 | + | 9549.61i | −0.101142 | + | 0.573607i | ||||
\(653\) | −8732.11 | + | 15124.5i | −0.523299 | + | 0.906380i | 0.476334 | + | 0.879265i | \(0.341965\pi\) |
−0.999632 | + | 0.0271153i | \(0.991368\pi\) | |||||||
\(654\) | 9598.60 | + | 16625.3i | 0.573906 | + | 0.994035i | ||||
\(655\) | 4639.90 | − | 1688.78i | 0.276787 | − | 0.100742i | ||||
\(656\) | 2879.49 | − | 1048.05i | 0.171380 | − | 0.0623773i | ||||
\(657\) | 20.2238 | + | 35.0287i | 0.00120092 | + | 0.00208006i | ||||
\(658\) | −2884.69 | + | 4996.43i | −0.170907 | + | 0.296020i | ||||
\(659\) | −4005.07 | + | 22713.9i | −0.236746 | + | 1.34265i | 0.602160 | + | 0.798376i | \(0.294307\pi\) |
−0.838906 | + | 0.544277i | \(0.816804\pi\) | |||||||
\(660\) | 7313.22 | − | 6136.52i | 0.431313 | − | 0.361915i | ||||
\(661\) | −12878.1 | − | 10806.0i | −0.757792 | − | 0.635863i | 0.179759 | − | 0.983711i | \(-0.442468\pi\) |
−0.937551 | + | 0.347848i | \(0.886913\pi\) | |||||||
\(662\) | 1288.14 | + | 7305.40i | 0.0756268 | + | 0.428901i | ||||
\(663\) | 76.0548 | + | 27.6817i | 0.00445509 | + | 0.00162152i | ||||
\(664\) | −10876.1 | −0.635652 | ||||||||
\(665\) | −6685.30 | − | 37501.7i | −0.389842 | − | 2.18685i | ||||
\(666\) | 23.5484 | 0.00137009 | ||||||||
\(667\) | −11472.6 | − | 4175.69i | −0.665999 | − | 0.242404i | ||||
\(668\) | 1575.89 | + | 8937.34i | 0.0912773 | + | 0.517659i | ||||
\(669\) | −1576.59 | − | 1322.92i | −0.0911128 | − | 0.0764528i | ||||
\(670\) | 1442.54 | − | 1210.44i | 0.0831795 | − | 0.0697958i | ||||
\(671\) | 2908.96 | − | 16497.5i | 0.167361 | − | 0.949150i | ||||
\(672\) | −2667.27 | + | 4619.85i | −0.153113 | + | 0.265200i | ||||
\(673\) | 16099.8 | + | 27885.6i | 0.922140 | + | 1.59719i | 0.796097 | + | 0.605169i | \(0.206894\pi\) |
0.126043 | + | 0.992025i | \(0.459772\pi\) | |||||||
\(674\) | 11685.7 | − | 4253.26i | 0.667831 | − | 0.243070i | ||||
\(675\) | 10532.9 | − | 3833.68i | 0.600612 | − | 0.218605i | ||||
\(676\) | −2562.77 | − | 4438.84i | −0.145811 | − | 0.252551i | ||||
\(677\) | 14531.3 | − | 25169.0i | 0.824940 | − | 1.42884i | −0.0770258 | − | 0.997029i | \(-0.524542\pi\) |
0.901965 | − | 0.431808i | \(-0.142124\pi\) | |||||||
\(678\) | 954.814 | − | 5415.02i | 0.0540847 | − | 0.306729i | ||||
\(679\) | 41442.5 | − | 34774.4i | 2.34230 | − | 1.96542i | ||||
\(680\) | −23.2040 | − | 19.4705i | −0.00130858 | − | 0.00109803i | ||||
\(681\) | 590.177 | + | 3347.06i | 0.0332095 | + | 0.188340i | ||||
\(682\) | −13780.7 | − | 5015.76i | −0.773739 | − | 0.281618i | ||||
\(683\) | 19892.9 | 1.11447 | 0.557233 | − | 0.830356i | \(-0.311863\pi\) | ||||
0.557233 | + | 0.830356i | \(0.311863\pi\) | |||||||
\(684\) | −32.7411 | − | 11.8471i | −0.00183025 | − | 0.000662260i | ||||
\(685\) | 11841.9 | 0.660520 | ||||||||
\(686\) | −20981.1 | − | 7636.50i | −1.16773 | − | 0.425019i | ||||
\(687\) | −1763.88 | − | 10003.5i | −0.0979569 | − | 0.555541i | ||||
\(688\) | 716.346 | + | 601.086i | 0.0396954 | + | 0.0333084i | ||||
\(689\) | 17539.8 | − | 14717.7i | 0.969831 | − | 0.813785i | ||||
\(690\) | −4235.81 | + | 24022.5i | −0.233702 | + | 1.32539i | ||||
\(691\) | −5145.10 | + | 8911.58i | −0.283255 | + | 0.490611i | −0.972184 | − | 0.234217i | \(-0.924747\pi\) |
0.688930 | + | 0.724828i | \(0.258081\pi\) | |||||||
\(692\) | 3281.21 | + | 5683.22i | 0.180250 | + | 0.312202i | ||||
\(693\) | 102.112 | − | 37.1658i | 0.00559728 | − | 0.00203724i | ||||
\(694\) | 5323.86 | − | 1937.73i | 0.291197 | − | 0.105987i | ||||
\(695\) | −15100.5 | − | 26154.8i | −0.824165 | − | 1.42750i | ||||
\(696\) | −1540.89 | + | 2668.90i | −0.0839185 | + | 0.145351i | ||||
\(697\) | 8.80031 | − | 49.9090i | 0.000478243 | − | 0.00271225i | ||||
\(698\) | −16577.0 | + | 13909.8i | −0.898925 | + | 0.754287i | ||||
\(699\) | −16745.3 | − | 14051.0i | −0.906104 | − | 0.760311i | ||||
\(700\) | −1780.41 | − | 10097.2i | −0.0961332 | − | 0.545199i | ||||
\(701\) | −22607.0 | − | 8228.29i | −1.21805 | − | 0.443336i | −0.348564 | − | 0.937285i | \(-0.613331\pi\) |
−0.869491 | + | 0.493949i | \(0.835553\pi\) | |||||||
\(702\) | 16580.8 | 0.891454 | ||||||||
\(703\) | −9277.70 | + | 17.4460i | −0.497746 | + | 0.000935972i | ||||
\(704\) | −2058.44 | −0.110199 | ||||||||
\(705\) | 6257.62 | + | 2277.59i | 0.334292 | + | 0.121672i | ||||
\(706\) | 2525.34 | + | 14321.9i | 0.134621 | + | 0.763473i | ||||
\(707\) | 45202.1 | + | 37929.0i | 2.40452 | + | 2.01763i | ||||
\(708\) | 5933.39 | − | 4978.71i | 0.314958 | − | 0.264281i | ||||
\(709\) | −232.287 | + | 1317.36i | −0.0123042 | + | 0.0697808i | −0.990342 | − | 0.138649i | \(-0.955724\pi\) |
0.978037 | + | 0.208430i | \(0.0668352\pi\) | |||||||
\(710\) | −7575.85 | + | 13121.7i | −0.400446 | + | 0.693592i | ||||
\(711\) | 26.8169 | + | 46.4483i | 0.00141451 | + | 0.00245000i | ||||
\(712\) | 2247.90 | − | 818.167i | 0.118319 | − | 0.0430648i | ||||
\(713\) | 35211.3 | − | 12815.9i | 1.84947 | − | 0.673154i | ||||
\(714\) | 44.1128 | + | 76.4056i | 0.00231216 | + | 0.00400477i | ||||
\(715\) | −13571.2 | + | 23506.0i | −0.709838 | + | 1.22948i | ||||
\(716\) | 1594.79 | − | 9044.48i | 0.0832402 | − | 0.472078i | ||||
\(717\) | −21607.3 | + | 18130.7i | −1.12544 | + | 0.944355i | ||||
\(718\) | −16130.4 | − | 13535.0i | −0.838415 | − | 0.703514i | ||||
\(719\) | −8.72801 | − | 49.4990i | −0.000452712 | − | 0.00256746i | 0.984581 | − | 0.174932i | \(-0.0559705\pi\) |
−0.985033 | + | 0.172364i | \(0.944859\pi\) | |||||||
\(720\) | −22.6115 | − | 8.22990i | −0.00117039 | − | 0.000425986i | ||||
\(721\) | −44947.0 | −2.32166 | ||||||||
\(722\) | 12908.3 | + | 4643.32i | 0.665368 | + | 0.239344i | ||||
\(723\) | 17505.8 | 0.900482 | ||||||||
\(724\) | −6055.79 | − | 2204.13i | −0.310859 | − | 0.113143i | ||||
\(725\) | −1028.55 | − | 5833.19i | −0.0526888 | − | 0.298813i | ||||
\(726\) | 2356.11 | + | 1977.01i | 0.120445 | + | 0.101066i | ||||
\(727\) | −1984.72 | + | 1665.38i | −0.101251 | + | 0.0849593i | −0.692008 | − | 0.721890i | \(-0.743274\pi\) |
0.590757 | + | 0.806849i | \(0.298829\pi\) | |||||||
\(728\) | 2633.67 | − | 14936.3i | 0.134080 | − | 0.760406i | ||||
\(729\) | −9879.51 | + | 17111.8i | −0.501931 | + | 0.869370i | ||||
\(730\) | −5506.48 | − | 9537.50i | −0.279183 | − | 0.483560i | ||||
\(731\) | 14.5329 | − | 5.28954i | 0.000735319 | − | 0.000267634i | ||||
\(732\) | 10152.9 | − | 3695.35i | 0.512653 | − | 0.186590i | ||||
\(733\) | −2097.59 | − | 3633.14i | −0.105698 | − | 0.183074i | 0.808325 | − | 0.588736i | \(-0.200374\pi\) |
−0.914023 | + | 0.405662i | \(0.867041\pi\) | |||||||
\(734\) | 6525.04 | − | 11301.7i | 0.328125 | − | 0.568329i | ||||
\(735\) | −8894.93 | + | 50445.6i | −0.446387 | + | 2.53159i | ||||
\(736\) | 4029.06 | − | 3380.78i | 0.201784 | − | 0.169317i | ||||
\(737\) | −1621.27 | − | 1360.40i | −0.0810314 | − | 0.0679934i | ||||
\(738\) | −6.99088 | − | 39.6472i | −0.000348696 | − | 0.00197755i | ||||
\(739\) | 13937.9 | + | 5073.00i | 0.693797 | + | 0.252521i | 0.664760 | − | 0.747057i | \(-0.268534\pi\) |
0.0290366 | + | 0.999578i | \(0.490756\pi\) | |||||||
\(740\) | −6411.69 | −0.318511 | ||||||||
\(741\) | −25331.1 | + | 47.6331i | −1.25582 | + | 0.00236147i | ||||
\(742\) | 24958.9 | 1.23486 | ||||||||
\(743\) | −5466.42 | − | 1989.61i | −0.269910 | − | 0.0982393i | 0.203519 | − | 0.979071i | \(-0.434762\pi\) |
−0.473430 | + | 0.880832i | \(0.656984\pi\) | |||||||
\(744\) | −1642.45 | − | 9314.81i | −0.0809344 | − | 0.459002i | ||||
\(745\) | −15515.7 | − | 13019.2i | −0.763023 | − | 0.640252i | ||||
\(746\) | −3689.61 | + | 3095.95i | −0.181081 | + | 0.151945i | ||||
\(747\) | −24.8126 | + | 140.719i | −0.00121532 | + | 0.00689244i | ||||
\(748\) | −17.0218 | + | 29.4826i | −0.000832056 | + | 0.00144116i | ||||
\(749\) | −2292.66 | − | 3971.00i | −0.111845 | − | 0.193721i | ||||
\(750\) | 6311.95 | − | 2297.36i | 0.307307 | − | 0.111850i | ||||
\(751\) | −3926.00 | + | 1428.95i | −0.190762 | + | 0.0694315i | −0.435635 | − | 0.900124i | \(-0.643476\pi\) |
0.244873 | + | 0.969555i | \(0.421254\pi\) | |||||||
\(752\) | −717.921 | − | 1243.48i | −0.0348137 | − | 0.0602991i | ||||
\(753\) | 5962.90 | − | 10328.1i | 0.288579 | − | 0.499834i | ||||
\(754\) | 1521.48 | − | 8628.73i | 0.0734867 | − | 0.416764i | ||||
\(755\) | −8525.21 | + | 7153.50i | −0.410946 | + | 0.344824i | ||||
\(756\) | 13845.6 | + | 11617.9i | 0.666085 | + | 0.558912i | ||||
\(757\) | 1780.93 | + | 10100.2i | 0.0855074 | + | 0.484937i | 0.997246 | + | 0.0741656i | \(0.0236294\pi\) |
−0.911739 | + | 0.410771i | \(0.865260\pi\) | |||||||
\(758\) | 21549.6 | + | 7843.40i | 1.03261 | + | 0.375838i | ||||
\(759\) | 27415.2 | 1.31108 | ||||||||
\(760\) | 8914.65 | + | 3225.70i | 0.425485 | + | 0.153958i | ||||
\(761\) | 18417.3 | 0.877300 | 0.438650 | − | 0.898658i | \(-0.355457\pi\) | ||||
0.438650 | + | 0.898658i | \(0.355457\pi\) | |||||||
\(762\) | −7704.25 | − | 2804.12i | −0.366267 | − | 0.133310i | ||||
\(763\) | −10331.3 | − | 58591.8i | −0.490195 | − | 2.78003i | ||||
\(764\) | −3309.95 | − | 2777.38i | −0.156741 | − | 0.131521i | ||||
\(765\) | −0.304855 | + | 0.255804i | −1.44079e−5 | + | 1.20897e-5i | ||||
\(766\) | −1546.55 | + | 8770.93i | −0.0729493 | + | 0.413716i | ||||
\(767\) | −11010.6 | + | 19071.0i | −0.518346 | + | 0.897802i | ||||
\(768\) | −663.812 | − | 1149.76i | −0.0311891 | − | 0.0540211i | ||||
\(769\) | −1076.95 | + | 391.977i | −0.0505016 | + | 0.0183811i | −0.367147 | − | 0.930163i | \(-0.619666\pi\) |
0.316646 | + | 0.948544i | \(0.397443\pi\) | |||||||
\(770\) | −27802.8 | + | 10119.4i | −1.30122 | + | 0.473606i | ||||
\(771\) | 6511.33 | + | 11278.0i | 0.304150 | + | 0.526804i | ||||
\(772\) | 1162.13 | − | 2012.87i | 0.0541787 | − | 0.0938403i | ||||
\(773\) | −6506.16 | + | 36898.3i | −0.302730 | + | 1.71687i | 0.331271 | + | 0.943536i | \(0.392522\pi\) |
−0.634001 | + | 0.773332i | \(0.718589\pi\) | |||||||
\(774\) | 9.41139 | − | 7.89710i | 0.000437061 | − | 0.000366738i | ||||
\(775\) | 13926.1 | + | 11685.4i | 0.645471 | + | 0.541615i | ||||
\(776\) | 2337.98 | + | 13259.3i | 0.108155 | + | 0.613379i | ||||
\(777\) | 17548.7 | + | 6387.19i | 0.810238 | + | 0.294902i | ||||
\(778\) | −16435.9 | −0.757397 | ||||||||
\(779\) | 2783.67 | + | 15615.2i | 0.128030 | + | 0.718193i | ||||
\(780\) | −17505.9 | −0.803606 | ||||||||
\(781\) | 16002.0 | + | 5824.24i | 0.733156 | + | 0.266847i | ||||
\(782\) | −15.1049 | − | 85.6640i | −0.000690728 | − | 0.00391731i | ||||
\(783\) | 7998.65 | + | 6711.67i | 0.365068 | + | 0.306329i | ||||
\(784\) | 8460.76 | − | 7099.42i | 0.385421 | − | 0.323407i | ||||
\(785\) | −8959.45 | + | 50811.6i | −0.407359 | + | 2.31025i | ||||
\(786\) | 1789.60 | − | 3099.68i | 0.0812123 | − | 0.140664i | ||||
\(787\) | −1398.80 | − | 2422.79i | −0.0633567 | − | 0.109737i | 0.832607 | − | 0.553864i | \(-0.186847\pi\) |
−0.895964 | + | 0.444127i | \(0.853514\pi\) | |||||||
\(788\) | 5579.94 | − | 2030.93i | 0.252255 | − | 0.0918134i | ||||
\(789\) | 13615.3 | − | 4955.56i | 0.614344 | − | 0.223603i | ||||
\(790\) | −7301.63 | − | 12646.8i | −0.328836 | − | 0.569560i | ||||
\(791\) | −8520.52 | + | 14758.0i | −0.383002 | + | 0.663379i | ||||
\(792\) | −4.69612 | + | 26.6330i | −0.000210694 | + | 0.00119490i | ||||
\(793\) | −23531.6 | + | 19745.4i | −1.05376 | + | 0.884211i | ||||
\(794\) | 5256.32 | + | 4410.57i | 0.234937 | + | 0.197135i | ||||
\(795\) | −5002.52 | − | 28370.7i | −0.223171 | − | 1.26567i | ||||
\(796\) | −3474.37 | − | 1264.57i | −0.154706 | − | 0.0563084i | ||||
\(797\) | 30493.0 | 1.35523 | 0.677615 | − | 0.735416i | \(-0.263013\pi\) | ||||
0.677615 | + | 0.735416i | \(0.263013\pi\) | |||||||
\(798\) | −21185.8 | − | 17709.2i | −0.939813 | − | 0.785590i | ||||
\(799\) | −23.7467 | −0.00105144 | ||||||||
\(800\) | 2397.80 | + | 872.730i | 0.105969 | + | 0.0385696i | ||||
\(801\) | −5.45747 | − | 30.9509i | −0.000240737 | − | 0.00136529i | ||||
\(802\) | −2347.43 | − | 1969.73i | −0.103355 | − | 0.0867251i | ||||
\(803\) | −9481.65 | + | 7956.05i | −0.416688 | + | 0.349643i | ||||
\(804\) | 237.032 | − | 1344.28i | 0.0103974 | − | 0.0589664i | ||||
\(805\) | 37799.3 | − | 65470.3i | 1.65497 | − | 2.86649i | ||||
\(806\) | 13445.8 | + | 23288.8i | 0.587602 | + | 1.01776i | ||||
\(807\) | 13986.3 | − | 5090.59i | 0.610087 | − | 0.222053i | ||||
\(808\) | −13799.6 | + | 5022.66i | −0.600829 | + | 0.218684i | ||||
\(809\) | 347.652 | + | 602.151i | 0.0151085 | + | 0.0261687i | 0.873481 | − | 0.486859i | \(-0.161857\pi\) |
−0.858372 | + | 0.513027i | \(0.828524\pi\) | |||||||
\(810\) | 10390.3 | − | 17996.6i | 0.450714 | − | 0.780660i | ||||
\(811\) | −1015.71 | + | 5760.36i | −0.0439782 | + | 0.249413i | −0.998869 | − | 0.0475439i | \(-0.984861\pi\) |
0.954891 | + | 0.296957i | \(0.0959717\pi\) | |||||||
\(812\) | 7316.50 | − | 6139.27i | 0.316205 | − | 0.265328i | ||||
\(813\) | 7115.35 | + | 5970.49i | 0.306945 | + | 0.257557i | ||||
\(814\) | 1251.32 | + | 7096.60i | 0.0538806 | + | 0.305572i | ||||
\(815\) | −32595.8 | − | 11863.9i | −1.40096 | − | 0.509907i | ||||
\(816\) | −21.9570 | −0.000941970 | ||||||||
\(817\) | −3702.09 | + | 3118.30i | −0.158531 | + | 0.133532i | ||||
\(818\) | 30040.2 | 1.28402 | ||||||||
\(819\) | −187.244 | − | 68.1513i | −0.00798881 | − | 0.00290769i | ||||
\(820\) | 1903.45 | + | 10795.0i | 0.0810628 | + | 0.459730i | ||||
\(821\) | −18602.1 | − | 15609.0i | −0.790765 | − | 0.663530i | 0.155170 | − | 0.987888i | \(-0.450408\pi\) |
−0.945935 | + | 0.324357i | \(0.894852\pi\) | |||||||
\(822\) | 6575.65 | − | 5517.63i | 0.279017 | − | 0.234123i | ||||
\(823\) | 6942.78 | − | 39374.5i | 0.294058 | − | 1.66769i | −0.376946 | − | 0.926235i | \(-0.623026\pi\) |
0.671005 | − | 0.741453i | \(-0.265863\pi\) | |||||||
\(824\) | 5593.05 | − | 9687.44i | 0.236460 | − | 0.409561i | ||||
\(825\) | 6650.29 | + | 11518.6i | 0.280647 | + | 0.486094i | ||||
\(826\) | −22557.1 | + | 8210.10i | −0.950194 | + | 0.345842i | ||||
\(827\) | 25365.6 | − | 9232.34i | 1.06657 | − | 0.388198i | 0.251674 | − | 0.967812i | \(-0.419019\pi\) |
0.814891 | + | 0.579614i | \(0.196797\pi\) | |||||||
\(828\) | −34.5502 | − | 59.8427i | −0.00145012 | − | 0.00251169i | ||||
\(829\) | −19711.8 | + | 34141.9i | −0.825839 | + | 1.43040i | 0.0754371 | + | 0.997151i | \(0.475965\pi\) |
−0.901276 | + | 0.433245i | \(0.857369\pi\) | |||||||
\(830\) | 6755.91 | − | 38314.6i | 0.282531 | − | 1.60231i | ||||
\(831\) | 23634.7 | − | 19831.9i | 0.986616 | − | 0.827869i | ||||
\(832\) | 2891.50 | + | 2426.25i | 0.120486 | + | 0.101100i | ||||
\(833\) | −31.7193 | − | 179.889i | −0.00131934 | − | 0.00748233i | ||||
\(834\) | −20571.7 | − | 7487.49i | −0.854124 | − | 0.310876i | ||||
\(835\) | −32463.8 | −1.34545 | ||||||||
\(836\) | 1830.46 | − | 10496.5i | 0.0757272 | − | 0.434244i | ||||
\(837\) | −32046.7 | −1.32341 | ||||||||
\(838\) | −2778.32 | − | 1011.22i | −0.114529 | − | 0.0416852i | ||||
\(839\) | 7433.41 | + | 42157.0i | 0.305876 | + | 1.73471i | 0.619354 | + | 0.785112i | \(0.287395\pi\) |
−0.313478 | + | 0.949596i | \(0.601494\pi\) | |||||||
\(840\) | −14618.2 | − | 12266.1i | −0.600446 | − | 0.503834i | ||||
\(841\) | −14456.3 | + | 12130.3i | −0.592738 | + | 0.497367i | ||||
\(842\) | 2316.34 | − | 13136.6i | 0.0948058 | − | 0.537670i | ||||
\(843\) | 895.676 | − | 1551.36i | 0.0365940 | − | 0.0633826i | ||||
\(844\) | −1874.47 | − | 3246.68i | −0.0764479 | − | 0.132412i | ||||
\(845\) | 17229.3 | − | 6270.94i | 0.701425 | − | 0.255298i | ||||
\(846\) | −17.7265 | + | 6.45193i | −0.000720391 | + | 0.000262201i | ||||
\(847\) | −4766.05 | − | 8255.05i | −0.193345 | − | 0.334884i | ||||
\(848\) | −3105.79 | + | 5379.39i | −0.125770 | + | 0.217841i | ||||
\(849\) | 4060.86 | − | 23030.3i | 0.164156 | − | 0.930973i | ||||
\(850\) | 32.3280 | − | 27.1264i | 0.00130452 | − | 0.00109462i | ||||
\(851\) | −14104.7 | − | 11835.3i | −0.568159 | − | 0.476742i | ||||
\(852\) | 1907.19 | + | 10816.2i | 0.0766894 | + | 0.434927i | ||||
\(853\) | 4955.96 | + | 1803.82i | 0.198932 | + | 0.0724052i | 0.439565 | − | 0.898211i | \(-0.355133\pi\) |
−0.240633 | + | 0.970616i | \(0.577355\pi\) | |||||||
\(854\) | −33485.1 | −1.34173 | ||||||||
\(855\) | 62.0734 | − | 107.983i | 0.00248288 | − | 0.00431922i | ||||
\(856\) | 1141.16 | 0.0455655 | ||||||||
\(857\) | −20721.2 | − | 7541.92i | −0.825933 | − | 0.300615i | −0.105744 | − | 0.994393i | \(-0.533722\pi\) |
−0.720189 | + | 0.693778i | \(0.755945\pi\) | |||||||
\(858\) | 3416.50 | + | 19375.9i | 0.135941 | + | 0.770960i | ||||
\(859\) | 3790.33 | + | 3180.46i | 0.150552 | + | 0.126328i | 0.714953 | − | 0.699173i | \(-0.246448\pi\) |
−0.564401 | + | 0.825501i | \(0.690893\pi\) | |||||||
\(860\) | −2562.50 | + | 2150.20i | −0.101605 | + | 0.0852571i | ||||
\(861\) | 5544.06 | − | 31441.9i | 0.219444 | − | 1.24453i | ||||
\(862\) | 14962.8 | − | 25916.3i | 0.591223 | − | 1.02403i | ||||
\(863\) | −21066.6 | − | 36488.5i | −0.830958 | − | 1.43926i | −0.897279 | − | 0.441463i | \(-0.854460\pi\) |
0.0663214 | − | 0.997798i | \(-0.478874\pi\) | |||||||
\(864\) | −4226.90 | + | 1538.47i | −0.166438 | + | 0.0605783i | ||||
\(865\) | −22059.3 | + | 8028.93i | −0.867097 | + | 0.315597i | ||||
\(866\) | 1844.16 | + | 3194.18i | 0.0723638 | + | 0.125338i | ||||
\(867\) | 12739.3 | − | 22065.1i | 0.499019 | − | 0.864326i | ||||
\(868\) | −5090.26 | + | 28868.3i | −0.199049 | + | 1.12886i | ||||
\(869\) | −12572.7 | + | 10549.8i | −0.490795 | + | 0.411826i | ||||
\(870\) | −8444.96 | − | 7086.16i | −0.329093 | − | 0.276142i | ||||
\(871\) | 673.909 | + | 3821.93i | 0.0262165 | + | 0.148681i | ||||
\(872\) | 13913.9 | + | 5064.24i | 0.540348 | + | 0.196671i | ||||
\(873\) | 176.889 | 0.00685772 | ||||||||
\(874\) | 13656.6 | + | 23551.5i | 0.528535 | + | 0.911488i | ||||
\(875\) | −20817.4 | −0.804291 | ||||||||
\(876\) | −7501.59 | − | 2730.35i | −0.289332 | − | 0.105308i | ||||
\(877\) | 7270.07 | + | 41230.6i | 0.279923 | + | 1.58752i | 0.722875 | + | 0.690979i | \(0.242820\pi\) |
−0.442951 | + | 0.896546i | \(0.646069\pi\) | |||||||
\(878\) | 10734.5 | + | 9007.30i | 0.412610 | + | 0.346221i | ||||
\(879\) | 3490.43 | − | 2928.82i | 0.133935 | − | 0.112385i | ||||
\(880\) | 1278.64 | − | 7251.55i | 0.0489808 | − | 0.277784i | ||||
\(881\) | 6256.58 | − | 10836.7i | 0.239262 | − | 0.414414i | −0.721241 | − | 0.692684i | \(-0.756428\pi\) |
0.960503 | + | 0.278271i | \(0.0897612\pi\) | |||||||
\(882\) | −72.5532 | − | 125.666i | −0.00276983 | − | 0.00479749i | ||||
\(883\) | 7240.80 | − | 2635.44i | 0.275960 | − | 0.100441i | −0.200333 | − | 0.979728i | \(-0.564202\pi\) |
0.476293 | + | 0.879287i | \(0.341980\pi\) | |||||||
\(884\) | 58.6613 | − | 21.3510i | 0.00223189 | − | 0.000812343i | ||||
\(885\) | 13853.5 | + | 23995.0i | 0.526194 | + | 0.911395i | ||||
\(886\) | −3550.07 | + | 6148.90i | −0.134613 | + | 0.233156i | ||||
\(887\) | 8776.45 | − | 49773.7i | 0.332226 | − | 1.88415i | −0.120844 | − | 0.992672i | \(-0.538560\pi\) |
0.453070 | − | 0.891475i | \(-0.350329\pi\) | |||||||
\(888\) | −3560.33 | + | 2987.47i | −0.134546 | + | 0.112897i | ||||
\(889\) | 19464.6 | + | 16332.8i | 0.734334 | + | 0.616179i | ||||
\(890\) | 1485.94 | + | 8427.21i | 0.0559651 | + | 0.317394i | ||||
\(891\) | −21946.8 | − | 7987.97i | −0.825190 | − | 0.300345i | ||||
\(892\) | −1587.41 | −0.0595858 | ||||||||
\(893\) | 6979.19 | − | 2555.09i | 0.261534 | − | 0.0957478i | ||||
\(894\) | −14681.9 | −0.549256 | ||||||||
\(895\) | 30871.6 | + | 11236.4i | 1.15299 | + | 0.419654i | ||||
\(896\) | 714.484 | + | 4052.04i | 0.0266398 | + | 0.151082i | ||||
\(897\) | −38510.3 | − | 32314.0i | −1.43347 | − | 1.20282i | ||||
\(898\) | −12534.9 | + | 10518.0i | −0.465806 | + | 0.390858i | ||||
\(899\) | −2940.66 | + | 16677.3i | −0.109095 | + | 0.618709i | ||||
\(900\) | 16.7621 | − | 29.0329i | 0.000620819 | − | 0.00107529i | ||||
\(901\) | 51.3653 | + | 88.9673i | 0.00189925 | + | 0.00328960i | ||||
\(902\) | 11576.7 | − | 4213.57i | 0.427341 | − | 0.155539i | ||||
\(903\) | 9155.50 | − | 3332.33i | 0.337404 | − | 0.122805i | ||||
\(904\) | −2120.53 | − | 3672.86i | −0.0780173 | − | 0.135130i | ||||
\(905\) | 11526.5 | − | 19964.5i | 0.423374 | − | 0.733305i | ||||
\(906\) | −1400.83 | + | 7944.48i | −0.0513679 | + | 0.291322i | ||||
\(907\) | 30184.7 | − | 25328.0i | 1.10503 | − | 0.927234i | 0.107281 | − | 0.994229i | \(-0.465786\pi\) |
0.997753 | + | 0.0669950i | \(0.0213412\pi\) | |||||||
\(908\) | 2008.13 | + | 1685.02i | 0.0733943 | + | 0.0615852i | ||||
\(909\) | 33.5029 | + | 190.005i | 0.00122247 | + | 0.00693296i | ||||
\(910\) | 50982.2 | + | 18556.0i | 1.85719 | + | 0.675962i | ||||
\(911\) | 17570.3 | 0.639001 | 0.319500 | − | 0.947586i | \(-0.396485\pi\) | ||||
0.319500 | + | 0.947586i | \(0.396485\pi\) | |||||||
\(912\) | 6453.17 | − | 2362.51i | 0.234305 | − | 0.0857792i | ||||
\(913\) | −43726.0 | −1.58501 | ||||||||
\(914\) | 13187.5 | + | 4799.87i | 0.477248 | + | 0.173704i | ||||
\(915\) | 6711.45 | + | 38062.5i | 0.242485 | + | 1.37520i | ||||
\(916\) | −6001.77 | − | 5036.08i | −0.216489 | − | 0.181656i | ||||
\(917\) | −8497.42 | + | 7130.19i | −0.306008 | + | 0.256772i | ||||
\(918\) | −12.9182 | + | 73.2630i | −0.000464451 | + | 0.00263403i | ||||
\(919\) | 10307.7 | − | 17853.5i | 0.369990 | − | 0.640842i | −0.619573 | − | 0.784939i | \(-0.712694\pi\) |
0.989564 | + | 0.144097i | \(0.0460277\pi\) | |||||||
\(920\) | 9407.21 | + | 16293.8i | 0.337116 | + | 0.583902i | ||||
\(921\) | −20430.2 | + | 7436.00i | −0.730944 | + | 0.266042i | ||||
\(922\) | 15568.5 | − | 5666.49i | 0.556098 | − | 0.202403i | ||||
\(923\) | −15613.1 | − | 27042.6i | −0.556782 | − | 0.964376i | ||||
\(924\) | −10723.5 | + | 18573.6i | −0.381792 | + | 0.661284i | ||||
\(925\) | 1551.17 | − | 8797.11i | 0.0551374 | − | 0.312700i | ||||
\(926\) | −24268.9 | + | 20364.0i | −0.861258 | + | 0.722681i | ||||
\(927\) | −112.581 | − | 94.4663i | −0.00398882 | − | 0.00334701i | ||||
\(928\) | 412.760 | + | 2340.88i | 0.0146007 | + | 0.0828050i | ||||
\(929\) | 39850.0 | + | 14504.2i | 1.40736 | + | 0.512236i | 0.930353 | − | 0.366664i | \(-0.119500\pi\) |
0.477005 | + | 0.878901i | \(0.341722\pi\) | |||||||
\(930\) | 33834.8 | 1.19300 | ||||||||
\(931\) | 28677.9 | + | 49456.6i | 1.00954 | + | 1.74100i | ||||
\(932\) | −16860.3 | −0.592572 | ||||||||
\(933\) | 46833.9 | + | 17046.2i | 1.64338 | + | 0.598142i | ||||
\(934\) | −4829.03 | − | 27386.8i | −0.169176 | − | 0.959446i | ||||
\(935\) | −93.2891 | − | 78.2788i | −0.00326297 | − | 0.00273796i | ||||
\(936\) | 37.9886 | − | 31.8762i | 0.00132660 | − | 0.00111315i | ||||
\(937\) | −196.515 | + | 1114.49i | −0.00685152 | + | 0.0388569i | −0.988042 | − | 0.154186i | \(-0.950725\pi\) |
0.981190 | + | 0.193043i | \(0.0618356\pi\) | |||||||
\(938\) | −2115.22 | + | 3663.66i | −0.0736293 | + | 0.127530i | ||||
\(939\) | 7210.01 | + | 12488.1i | 0.250575 | + | 0.434009i | ||||
\(940\) | 4826.52 | − | 1756.71i | 0.167472 | − | 0.0609549i | ||||
\(941\) | −13074.0 | + | 4758.55i | −0.452923 | + | 0.164850i | −0.558401 | − | 0.829571i | \(-0.688585\pi\) |
0.105478 | + | 0.994422i | \(0.466363\pi\) | |||||||
\(942\) | 18700.1 | + | 32389.6i | 0.646797 | + | 1.12029i | ||||
\(943\) | −15739.1 | + | 27260.9i | −0.543516 | + | 0.941397i | ||||
\(944\) | 1037.40 | − | 5883.36i | 0.0357673 | − | 0.202847i | ||||
\(945\) | −49528.4 | + | 41559.2i | −1.70493 | + | 1.43061i | ||||
\(946\) | 2879.99 | + | 2416.60i | 0.0989815 | + | 0.0830553i | ||||
\(947\) | −5658.41 | − | 32090.4i | −0.194164 | − | 1.10116i | −0.913604 | − | 0.406605i | \(-0.866712\pi\) |
0.719440 | − | 0.694555i | \(-0.244399\pi\) | |||||||
\(948\) | −9947.15 | − | 3620.47i | −0.340790 | − | 0.124037i | ||||
\(949\) | 22696.6 | 0.776357 | ||||||||
\(950\) | −6582.50 | + | 11450.9i | −0.224805 | + | 0.391070i | ||||
\(951\) | 2572.81 | 0.0877276 | ||||||||
\(952\) | 63.9448 | + | 23.2740i | 0.00217696 | + | 0.000792348i | ||||
\(953\) | 3139.13 | + | 17802.9i | 0.106701 | + | 0.605133i | 0.990527 | + | 0.137317i | \(0.0438479\pi\) |
−0.883826 | + | 0.467816i | \(0.845041\pi\) | |||||||
\(954\) | 62.5154 | + | 52.4567i | 0.00212161 | + | 0.00178024i | ||||
\(955\) | 11840.3 | − | 9935.20i | 0.401197 | − | 0.336645i | ||||
\(956\) | −3777.82 | + | 21425.1i | −0.127807 | + | 0.724830i | ||||
\(957\) | −6194.98 | + | 10730.0i | −0.209253 | + | 0.362437i | ||||
\(958\) | −9094.71 | − | 15752.5i | −0.306719 | − | 0.531253i | ||||
\(959\) | −24998.7 | + | 9098.80i | −0.841764 | + | 0.306377i | ||||
\(960\) | 4462.75 | − | 1624.31i | 0.150036 | − | 0.0546086i | ||||
\(961\) | −11092.0 | − | 19212.0i | −0.372328 | − | 0.644891i | ||||
\(962\) | 6606.93 | − | 11443.5i | 0.221430 | − | 0.383528i | ||||
\(963\) | 2.60344 | − | 14.7649i | 8.71182e−5 | − | 0.000494072i | ||||
\(964\) | 10343.4 | − | 8679.11i | 0.345578 | − | 0.289974i | ||||
\(965\) | 6369.14 | + | 5344.34i | 0.212466 | + | 0.178280i | ||||
\(966\) | −9515.84 | − | 53967.0i | −0.316943 | − | 1.79747i | ||||
\(967\) | −17380.3 | − | 6325.92i | −0.577987 | − | 0.210370i | 0.0364508 | − | 0.999335i | \(-0.488395\pi\) |
−0.614437 | + | 0.788966i | \(0.710617\pi\) | |||||||
\(968\) | 2372.28 | 0.0787687 | ||||||||
\(969\) | 19.5252 | − | 111.964i | 0.000647307 | − | 0.00371186i | ||||
\(970\) | −48162.8 | −1.59424 | ||||||||
\(971\) | −29529.0 | − | 10747.7i | −0.975932 | − | 0.355210i | −0.195675 | − | 0.980669i | \(-0.562690\pi\) |
−0.780257 | + | 0.625459i | \(0.784912\pi\) | |||||||
\(972\) | 20.4845 | + | 116.173i | 0.000675966 | + | 0.00383360i | ||||
\(973\) | 51974.0 | + | 43611.3i | 1.71244 | + | 1.43691i | ||||
\(974\) | −20038.9 | + | 16814.6i | −0.659228 | + | 0.553158i | ||||
\(975\) | 4235.18 | − | 24018.9i | 0.139112 | − | 0.788944i | ||||
\(976\) | 4166.77 | − | 7217.06i | 0.136655 | − | 0.236693i | ||||
\(977\) | −17958.7 | − | 31105.3i | −0.588074 | − | 1.01857i | −0.994485 | − | 0.104883i | \(-0.966553\pi\) |
0.406411 | − | 0.913691i | \(-0.366780\pi\) | |||||||
\(978\) | −23627.9 | + | 8599.85i | −0.772533 | + | 0.281179i | ||||
\(979\) | 9037.41 | − | 3289.35i | 0.295033 | − | 0.107383i | ||||
\(980\) | 19754.6 | + | 34215.9i | 0.643914 | + | 1.11529i | ||||
\(981\) | 97.2666 | − | 168.471i | 0.00316563 | − | 0.00548303i | ||||
\(982\) | −3197.32 | + | 18132.9i | −0.103901 | + | 0.589250i | ||||
\(983\) | 11539.0 | − | 9682.36i | 0.374401 | − | 0.314160i | −0.436098 | − | 0.899899i | \(-0.643640\pi\) |
0.810500 | + | 0.585739i | \(0.199196\pi\) | |||||||
\(984\) | 6086.80 | + | 5107.43i | 0.197195 | + | 0.165467i | ||||
\(985\) | 3688.55 | + | 20918.8i | 0.119317 | + | 0.676679i | ||||
\(986\) | 36.9411 | + | 13.4455i | 0.00119315 | + | 0.000434271i | ||||
\(987\) | −14960.1 | −0.482457 | ||||||||
\(988\) | −14943.3 | + | 12586.9i | −0.481184 | + | 0.405306i | ||||
\(989\) | −9606.13 | −0.308854 | ||||||||
\(990\) | −90.9068 | − | 33.0874i | −0.00291839 | − | 0.00106221i | ||||
\(991\) | 382.946 | + | 2171.79i | 0.0122752 | + | 0.0696159i | 0.990330 | − | 0.138732i | \(-0.0443026\pi\) |
−0.978055 | + | 0.208348i | \(0.933191\pi\) | |||||||
\(992\) | −5588.58 | − | 4689.37i | −0.178869 | − | 0.150089i | ||||
\(993\) | −14735.0 | + | 12364.2i | −0.470899 | + | 0.395131i | ||||
\(994\) | 5910.74 | − | 33521.5i | 0.188609 | − | 1.06965i | ||||
\(995\) | 6613.06 | − | 11454.2i | 0.210702 | − | 0.364946i | ||||
\(996\) | −14100.9 | − | 24423.5i | −0.448598 | − | 0.776995i | ||||
\(997\) | 36116.0 | − | 13145.2i | 1.14725 | − | 0.417564i | 0.302722 | − | 0.953079i | \(-0.402105\pi\) |
0.844526 | + | 0.535515i | \(0.179882\pi\) | |||||||
\(998\) | 6948.92 | − | 2529.20i | 0.220405 | − | 0.0802209i | ||||
\(999\) | 7873.48 | + | 13637.3i | 0.249355 | + | 0.431896i |
(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 | 38.4.e.b.23.3 | yes | 18 | |
19.5 | even | 9 | inner | 38.4.e.b.5.3 | ✓ | 18 | |
19.9 | even | 9 | 722.4.a.t.1.8 | 9 | |||
19.10 | odd | 18 | 722.4.a.u.1.2 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.b.5.3 | ✓ | 18 | 19.5 | even | 9 | inner | |
38.4.e.b.23.3 | yes | 18 | 1.1 | even | 1 | trivial | |
722.4.a.t.1.8 | 9 | 19.9 | even | 9 | |||
722.4.a.u.1.2 | 9 | 19.10 | odd | 18 |