Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.4.g.a.14.4 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17465 | + | 4.00049i | −0.415302 | + | 1.41439i | 0.440812 | + | 0.897600i | \(0.354691\pi\) |
−0.856113 | + | 0.516788i | \(0.827128\pi\) | |||||||
\(3\) | 4.31812 | + | 2.89031i | 0.831022 | + | 0.556240i | ||||
\(4\) | −7.89411 | − | 5.07323i | −0.986763 | − | 0.634154i | ||||
\(5\) | −0.800687 | + | 5.56890i | −0.0716156 | + | 0.498097i | 0.922170 | + | 0.386785i | \(0.126414\pi\) |
−0.993785 | + | 0.111312i | \(0.964495\pi\) | |||||||
\(6\) | −16.6349 | + | 13.8795i | −1.13186 | + | 0.944380i | ||||
\(7\) | −5.95353 | + | 2.71889i | −0.321460 | + | 0.146806i | −0.569609 | − | 0.821916i | \(-0.692905\pi\) |
0.248148 | + | 0.968722i | \(0.420178\pi\) | |||||||
\(8\) | 4.36018 | − | 3.77812i | 0.192695 | − | 0.166971i | ||||
\(9\) | 10.2923 | + | 24.9614i | 0.381195 | + | 0.924495i | ||||
\(10\) | −21.3378 | − | 9.74465i | −0.674761 | − | 0.308153i | ||||
\(11\) | 5.86916 | − | 1.72334i | 0.160874 | − | 0.0472370i | −0.200304 | − | 0.979734i | \(-0.564193\pi\) |
0.361178 | + | 0.932497i | \(0.382375\pi\) | |||||||
\(12\) | −19.4245 | − | 44.7232i | −0.467280 | − | 1.07587i | ||||
\(13\) | 10.1423 | − | 22.2086i | 0.216383 | − | 0.473813i | −0.770049 | − | 0.637985i | \(-0.779768\pi\) |
0.986432 | + | 0.164172i | \(0.0524954\pi\) | |||||||
\(14\) | −3.88357 | − | 27.0108i | −0.0741376 | − | 0.515638i | ||||
\(15\) | −19.5533 | + | 21.7329i | −0.336576 | + | 0.374095i | ||||
\(16\) | −21.1925 | − | 46.4052i | −0.331133 | − | 0.725081i | ||||
\(17\) | −5.56809 | + | 3.57839i | −0.0794388 | + | 0.0510522i | −0.579757 | − | 0.814789i | \(-0.696853\pi\) |
0.500318 | + | 0.865841i | \(0.333216\pi\) | |||||||
\(18\) | −111.948 | + | 11.8533i | −1.46590 | + | 0.155213i | ||||
\(19\) | 20.8258 | − | 32.4055i | 0.251461 | − | 0.391281i | −0.692458 | − | 0.721458i | \(-0.743472\pi\) |
0.943919 | + | 0.330177i | \(0.107108\pi\) | |||||||
\(20\) | 34.5730 | − | 39.8994i | 0.386538 | − | 0.446089i | ||||
\(21\) | −33.5665 | − | 5.46705i | −0.348800 | − | 0.0568099i | ||||
\(22\) | 25.5038i | 0.247156i | ||||||||
\(23\) | 50.7872 | + | 97.9166i | 0.460429 | + | 0.887696i | ||||
\(24\) | 29.7477 | − | 3.71210i | 0.253009 | − | 0.0315721i | ||||
\(25\) | 89.5651 | + | 26.2987i | 0.716521 | + | 0.210389i | ||||
\(26\) | 76.9317 | + | 66.6617i | 0.580291 | + | 0.502825i | ||||
\(27\) | −27.7027 | + | 137.534i | −0.197459 | + | 0.980311i | ||||
\(28\) | 60.7913 | + | 8.74048i | 0.410303 | + | 0.0589927i | ||||
\(29\) | 103.555 | + | 161.135i | 0.663093 | + | 1.03179i | 0.996045 | + | 0.0888486i | \(0.0283187\pi\) |
−0.332953 | + | 0.942944i | \(0.608045\pi\) | |||||||
\(30\) | −63.9741 | − | 103.751i | −0.389334 | − | 0.631411i | ||||
\(31\) | −41.0835 | − | 47.4128i | −0.238026 | − | 0.274697i | 0.624151 | − | 0.781304i | \(-0.285445\pi\) |
−0.862177 | + | 0.506607i | \(0.830900\pi\) | |||||||
\(32\) | 256.222 | − | 36.8392i | 1.41544 | − | 0.203510i | ||||
\(33\) | 30.3247 | + | 9.52207i | 0.159965 | + | 0.0502297i | ||||
\(34\) | −7.77477 | − | 26.4784i | −0.0392165 | − | 0.133559i | ||||
\(35\) | −10.3743 | − | 35.3316i | −0.0501021 | − | 0.170632i | ||||
\(36\) | 45.3865 | − | 249.263i | 0.210123 | − | 1.15399i | ||||
\(37\) | 251.132 | − | 36.1073i | 1.11583 | − | 0.160433i | 0.440363 | − | 0.897820i | \(-0.354850\pi\) |
0.675470 | + | 0.737387i | \(0.263941\pi\) | |||||||
\(38\) | 105.175 | + | 121.379i | 0.448991 | + | 0.518163i | ||||
\(39\) | 107.986 | − | 66.5850i | 0.443372 | − | 0.273388i | ||||
\(40\) | 17.5488 | + | 27.3065i | 0.0693678 | + | 0.107938i | ||||
\(41\) | −349.514 | − | 50.2525i | −1.33134 | − | 0.191418i | −0.560344 | − | 0.828260i | \(-0.689331\pi\) |
−0.770994 | + | 0.636842i | \(0.780240\pi\) | |||||||
\(42\) | 61.2998 | − | 127.860i | 0.225208 | − | 0.469745i | ||||
\(43\) | 259.004 | + | 224.428i | 0.918550 | + | 0.795928i | 0.979340 | − | 0.202222i | \(-0.0648163\pi\) |
−0.0607892 | + | 0.998151i | \(0.519362\pi\) | |||||||
\(44\) | −55.0746 | − | 16.1714i | −0.188700 | − | 0.0554074i | ||||
\(45\) | −147.248 | + | 37.3304i | −0.487788 | + | 0.123664i | ||||
\(46\) | −451.372 | + | 88.1562i | −1.44676 | + | 0.282564i | ||||
\(47\) | − | 112.534i | − | 0.349251i | −0.984635 | − | 0.174626i | \(-0.944129\pi\) | ||
0.984635 | − | 0.174626i | \(-0.0558715\pi\) | |||||||
\(48\) | 42.6133 | − | 261.636i | 0.128140 | − | 0.786748i | ||||
\(49\) | −196.565 | + | 226.848i | −0.573076 | + | 0.661365i | ||||
\(50\) | −210.415 | + | 327.413i | −0.595144 | + | 0.926063i | ||||
\(51\) | −34.3863 | − | 0.641557i | −0.0944126 | − | 0.00176149i | ||||
\(52\) | −192.734 | + | 123.863i | −0.513989 | + | 0.330321i | ||||
\(53\) | −300.933 | − | 658.951i | −0.779930 | − | 1.70781i | −0.703458 | − | 0.710737i | \(-0.748362\pi\) |
−0.0764717 | − | 0.997072i | \(-0.524365\pi\) | |||||||
\(54\) | −517.662 | − | 272.379i | −1.30453 | − | 0.686408i | ||||
\(55\) | 4.89775 | + | 34.0646i | 0.0120075 | + | 0.0835140i | ||||
\(56\) | −15.6862 | + | 34.3480i | −0.0374314 | + | 0.0819633i | ||||
\(57\) | 183.590 | − | 79.7381i | 0.426616 | − | 0.185291i | ||||
\(58\) | −766.259 | + | 224.994i | −1.73474 | + | 0.509365i | ||||
\(59\) | 398.645 | + | 182.055i | 0.879648 | + | 0.401722i | 0.803451 | − | 0.595371i | \(-0.202995\pi\) |
0.0761968 | + | 0.997093i | \(0.475722\pi\) | |||||||
\(60\) | 264.612 | − | 72.3637i | 0.569354 | − | 0.155702i | ||||
\(61\) | 369.846 | − | 320.474i | 0.776294 | − | 0.672663i | −0.173746 | − | 0.984791i | \(-0.555587\pi\) |
0.950040 | + | 0.312128i | \(0.101042\pi\) | |||||||
\(62\) | 237.933 | − | 108.661i | 0.487380 | − | 0.222579i | ||||
\(63\) | −129.142 | − | 120.625i | −0.258261 | − | 0.241227i | ||||
\(64\) | −95.5148 | + | 664.320i | −0.186552 | + | 1.29750i | ||||
\(65\) | 115.557 | + | 74.2638i | 0.220509 | + | 0.141712i | ||||
\(66\) | −73.7139 | + | 110.129i | −0.137478 | + | 0.205392i | ||||
\(67\) | 186.577 | − | 635.422i | 0.340208 | − | 1.15864i | −0.594757 | − | 0.803905i | \(-0.702752\pi\) |
0.934966 | − | 0.354738i | \(-0.115430\pi\) | |||||||
\(68\) | 62.1091 | 0.110762 | ||||||||
\(69\) | −63.7036 | + | 569.606i | −0.111145 | + | 0.993804i | ||||
\(70\) | 153.530 | 0.262148 | ||||||||
\(71\) | 181.547 | − | 618.292i | 0.303460 | − | 1.03349i | −0.656726 | − | 0.754129i | \(-0.728059\pi\) |
0.960186 | − | 0.279361i | \(-0.0901225\pi\) | |||||||
\(72\) | 139.183 | + | 69.9506i | 0.227818 | + | 0.114497i | ||||
\(73\) | 196.952 | + | 126.574i | 0.315775 | + | 0.202936i | 0.688921 | − | 0.724837i | \(-0.258085\pi\) |
−0.373146 | + | 0.927772i | \(0.621721\pi\) | |||||||
\(74\) | −150.545 | + | 1047.06i | −0.236494 | + | 1.64485i | ||||
\(75\) | 310.741 | + | 372.431i | 0.478418 | + | 0.573395i | ||||
\(76\) | −328.802 | + | 150.159i | −0.496265 | + | 0.226637i | ||||
\(77\) | −30.2566 | + | 26.2175i | −0.0447800 | + | 0.0388021i | ||||
\(78\) | 139.527 | + | 510.209i | 0.202543 | + | 0.740639i | ||||
\(79\) | −620.492 | − | 283.369i | −0.883681 | − | 0.403563i | −0.0787235 | − | 0.996896i | \(-0.525084\pi\) |
−0.804957 | + | 0.593333i | \(0.797812\pi\) | |||||||
\(80\) | 275.394 | − | 80.8631i | 0.384875 | − | 0.113010i | ||||
\(81\) | −517.138 | + | 513.818i | −0.709381 | + | 0.704826i | ||||
\(82\) | 611.591 | − | 1339.20i | 0.823646 | − | 1.80353i | ||||
\(83\) | −76.5729 | − | 532.576i | −0.101265 | − | 0.704311i | −0.975691 | − | 0.219152i | \(-0.929671\pi\) |
0.874426 | − | 0.485159i | \(-0.161238\pi\) | |||||||
\(84\) | 237.241 | + | 213.448i | 0.308157 | + | 0.277251i | ||||
\(85\) | −15.4694 | − | 33.8733i | −0.0197399 | − | 0.0432244i | ||||
\(86\) | −1202.06 | + | 772.517i | −1.50723 | + | 0.968636i | ||||
\(87\) | −18.5660 | + | 995.104i | −0.0228791 | + | 1.22628i | ||||
\(88\) | 19.0796 | − | 29.6884i | 0.0231124 | − | 0.0359636i | ||||
\(89\) | −242.580 | + | 279.952i | −0.288915 | + | 0.333426i | −0.881590 | − | 0.472016i | \(-0.843526\pi\) |
0.592675 | + | 0.805442i | \(0.298072\pi\) | |||||||
\(90\) | 23.6252 | − | 632.915i | 0.0276702 | − | 0.741279i | ||||
\(91\) | 159.796i | 0.184078i | ||||||||
\(92\) | 95.8338 | − | 1030.62i | 0.108602 | − | 1.16793i | ||||
\(93\) | −40.3656 | − | 323.478i | −0.0450077 | − | 0.360678i | ||||
\(94\) | 450.192 | + | 132.188i | 0.493976 | + | 0.145045i | ||||
\(95\) | 163.788 | + | 141.923i | 0.176888 | + | 0.153274i | ||||
\(96\) | 1212.87 | + | 581.485i | 1.28946 | + | 0.618204i | ||||
\(97\) | 1778.54 | + | 255.715i | 1.86168 | + | 0.267670i | 0.979233 | − | 0.202738i | \(-0.0649840\pi\) |
0.882449 | + | 0.470407i | \(0.155893\pi\) | |||||||
\(98\) | −676.609 | − | 1052.82i | −0.697427 | − | 1.08522i | ||||
\(99\) | 103.424 | + | 128.765i | 0.104995 | + | 0.130721i | ||||
\(100\) | −573.617 | − | 661.989i | −0.573617 | − | 0.661989i | ||||
\(101\) | −900.406 | + | 129.459i | −0.887067 | + | 0.127541i | −0.570761 | − | 0.821116i | \(-0.693352\pi\) |
−0.316306 | + | 0.948657i | \(0.602443\pi\) | |||||||
\(102\) | 42.9584 | − | 136.809i | 0.0417012 | − | 0.132805i | ||||
\(103\) | −422.908 | − | 1440.29i | −0.404567 | − | 1.37783i | −0.870134 | − | 0.492816i | \(-0.835968\pi\) |
0.465566 | − | 0.885013i | \(-0.345851\pi\) | |||||||
\(104\) | −39.6844 | − | 135.153i | −0.0374171 | − | 0.127431i | ||||
\(105\) | 57.3217 | − | 182.551i | 0.0532764 | − | 0.169668i | ||||
\(106\) | 2989.62 | − | 429.842i | 2.73941 | − | 0.393868i | ||||
\(107\) | −653.187 | − | 753.818i | −0.590149 | − | 0.681068i | 0.379606 | − | 0.925148i | \(-0.376060\pi\) |
−0.969755 | + | 0.244080i | \(0.921514\pi\) | |||||||
\(108\) | 916.430 | − | 945.164i | 0.816514 | − | 0.842116i | ||||
\(109\) | −228.473 | − | 355.510i | −0.200768 | − | 0.312401i | 0.726241 | − | 0.687440i | \(-0.241266\pi\) |
−0.927009 | + | 0.375039i | \(0.877629\pi\) | |||||||
\(110\) | −142.028 | − | 20.4206i | −0.123108 | − | 0.0177002i | ||||
\(111\) | 1188.78 | + | 569.932i | 1.01652 | + | 0.487348i | ||||
\(112\) | 252.341 | + | 218.655i | 0.212892 | + | 0.184472i | ||||
\(113\) | 174.861 | + | 51.3437i | 0.145571 | + | 0.0427435i | 0.353706 | − | 0.935357i | \(-0.384921\pi\) |
−0.208135 | + | 0.978100i | \(0.566739\pi\) | |||||||
\(114\) | 103.337 | + | 828.115i | 0.0848985 | + | 0.680352i | ||||
\(115\) | −585.952 | + | 204.429i | −0.475133 | + | 0.165766i | ||||
\(116\) | − | 1797.37i | − | 1.43864i | ||||||
\(117\) | 658.745 | + | 24.5894i | 0.520522 | + | 0.0194299i | ||||
\(118\) | −1196.58 | + | 1380.93i | −0.933509 | + | 1.07733i | ||||
\(119\) | 23.4205 | − | 36.4431i | 0.0180417 | − | 0.0280734i | ||||
\(120\) | −3.14626 | + | 168.634i | −0.00239344 | + | 0.128284i | ||||
\(121\) | −1088.23 | + | 699.364i | −0.817604 | + | 0.525442i | ||||
\(122\) | 847.612 | + | 1856.01i | 0.629010 | + | 1.37734i | ||||
\(123\) | −1364.00 | − | 1227.20i | −0.999897 | − | 0.899615i | ||||
\(124\) | 83.7807 | + | 582.708i | 0.0606753 | + | 0.422006i | ||||
\(125\) | −510.317 | + | 1117.44i | −0.365153 | + | 0.799575i | ||||
\(126\) | 634.255 | − | 374.941i | 0.448444 | − | 0.265099i | ||||
\(127\) | −1527.06 | + | 448.384i | −1.06696 | + | 0.313288i | −0.767652 | − | 0.640867i | \(-0.778575\pi\) |
−0.299311 | + | 0.954156i | \(0.596757\pi\) | |||||||
\(128\) | −661.693 | − | 302.185i | −0.456922 | − | 0.208669i | ||||
\(129\) | 469.743 | + | 1717.71i | 0.320609 | + | 1.17237i | ||||
\(130\) | −432.831 | + | 375.050i | −0.292014 | + | 0.253031i | ||||
\(131\) | −1520.35 | + | 694.319i | −1.01400 | + | 0.463076i | −0.851903 | − | 0.523699i | \(-0.824551\pi\) |
−0.162092 | + | 0.986776i | \(0.551824\pi\) | |||||||
\(132\) | −191.079 | − | 229.012i | −0.125994 | − | 0.151007i | ||||
\(133\) | −35.8799 | + | 249.550i | −0.0233924 | + | 0.162697i | ||||
\(134\) | 2322.84 | + | 1492.80i | 1.49748 | + | 0.962373i | ||||
\(135\) | −743.731 | − | 264.395i | −0.474149 | − | 0.168559i | ||||
\(136\) | −10.7583 | + | 36.6393i | −0.00678320 | + | 0.0231014i | ||||
\(137\) | 2268.78 | 1.41485 | 0.707427 | − | 0.706787i | \(-0.249856\pi\) | ||||
0.707427 | + | 0.706787i | \(0.249856\pi\) | |||||||
\(138\) | −2203.87 | − | 923.933i | −1.35947 | − | 0.569931i | ||||
\(139\) | −1100.89 | −0.671774 | −0.335887 | − | 0.941902i | \(-0.609036\pi\) | ||||
−0.335887 | + | 0.941902i | \(0.609036\pi\) | |||||||
\(140\) | −97.3496 | + | 331.542i | −0.0587682 | + | 0.200146i | ||||
\(141\) | 325.258 | − | 485.936i | 0.194267 | − | 0.290235i | ||||
\(142\) | 2260.22 | + | 1452.55i | 1.33573 | + | 0.858420i | ||||
\(143\) | 21.2540 | − | 147.825i | 0.0124290 | − | 0.0864456i | ||||
\(144\) | 940.217 | − | 1006.61i | 0.544107 | − | 0.582528i | ||||
\(145\) | −980.258 | + | 447.669i | −0.561421 | + | 0.256392i | ||||
\(146\) | −737.707 | + | 639.227i | −0.418172 | + | 0.362348i | ||||
\(147\) | −1504.45 | + | 411.424i | −0.844116 | + | 0.230841i | ||||
\(148\) | −2165.64 | − | 989.016i | −1.20280 | − | 0.549302i | ||||
\(149\) | 619.140 | − | 181.796i | 0.340415 | − | 0.0999550i | −0.107057 | − | 0.994253i | \(-0.534143\pi\) |
0.447472 | + | 0.894298i | \(0.352324\pi\) | |||||||
\(150\) | −1854.92 | + | 805.642i | −1.00969 | + | 0.438536i | ||||
\(151\) | 720.740 | − | 1578.20i | 0.388431 | − | 0.850544i | −0.609883 | − | 0.792492i | \(-0.708784\pi\) |
0.998314 | − | 0.0580529i | \(-0.0184892\pi\) | |||||||
\(152\) | −31.6278 | − | 219.976i | −0.0168773 | − | 0.117384i | ||||
\(153\) | −146.630 | − | 102.157i | −0.0774792 | − | 0.0539799i | ||||
\(154\) | −69.3420 | − | 151.838i | −0.0362840 | − | 0.0794509i | ||||
\(155\) | 296.932 | − | 190.827i | 0.153872 | − | 0.0988876i | ||||
\(156\) | −1190.25 | − | 22.2069i | −0.610874 | − | 0.0113973i | ||||
\(157\) | −1578.68 | + | 2456.48i | −0.802500 | + | 1.24871i | 0.162563 | + | 0.986698i | \(0.448024\pi\) |
−0.965063 | + | 0.262017i | \(0.915612\pi\) | |||||||
\(158\) | 1862.48 | − | 2149.41i | 0.937789 | − | 1.08227i | ||||
\(159\) | 605.106 | − | 3715.21i | 0.301812 | − | 1.85305i | ||||
\(160\) | 1456.37i | 0.719602i | ||||||||
\(161\) | −568.587 | − | 444.865i | −0.278329 | − | 0.217765i | ||||
\(162\) | −1448.07 | − | 2672.36i | −0.702290 | − | 1.29605i | ||||
\(163\) | −822.969 | − | 241.645i | −0.395460 | − | 0.116117i | 0.0779556 | − | 0.996957i | \(-0.475161\pi\) |
−0.473415 | + | 0.880839i | \(0.656979\pi\) | |||||||
\(164\) | 2504.16 | + | 2169.86i | 1.19233 | + | 1.03316i | ||||
\(165\) | −77.3080 | + | 161.251i | −0.0364753 | + | 0.0760810i | ||||
\(166\) | 2220.51 | + | 319.262i | 1.03822 | + | 0.149274i | ||||
\(167\) | −1196.97 | − | 1862.53i | −0.554638 | − | 0.863034i | 0.444831 | − | 0.895614i | \(-0.353264\pi\) |
−0.999469 | + | 0.0325809i | \(0.989627\pi\) | |||||||
\(168\) | −167.011 | + | 102.981i | −0.0766975 | + | 0.0472925i | ||||
\(169\) | 1048.37 | + | 1209.89i | 0.477184 | + | 0.550699i | ||||
\(170\) | 153.681 | − | 22.0960i | 0.0693341 | − | 0.00996873i | ||||
\(171\) | 1023.23 | + | 186.313i | 0.457593 | + | 0.0833200i | ||||
\(172\) | −906.026 | − | 3085.64i | −0.401650 | − | 1.36790i | ||||
\(173\) | −930.813 | − | 3170.06i | −0.409066 | − | 1.39315i | −0.864389 | − | 0.502824i | \(-0.832294\pi\) |
0.455323 | − | 0.890327i | \(-0.349524\pi\) | |||||||
\(174\) | −3959.10 | − | 1243.17i | −1.72493 | − | 0.541636i | ||||
\(175\) | −604.732 | + | 86.9473i | −0.261219 | + | 0.0375577i | ||||
\(176\) | −204.354 | − | 235.837i | −0.0875214 | − | 0.101005i | ||||
\(177\) | 1195.20 | + | 1938.34i | 0.507553 | + | 0.823134i | ||||
\(178\) | −835.001 | − | 1299.29i | −0.351606 | − | 0.547110i | ||||
\(179\) | 1684.16 | + | 242.145i | 0.703239 | + | 0.101110i | 0.484652 | − | 0.874707i | \(-0.338946\pi\) |
0.218587 | + | 0.975818i | \(0.429855\pi\) | |||||||
\(180\) | 1351.78 | + | 452.334i | 0.559753 | + | 0.187306i | ||||
\(181\) | 3066.67 | + | 2657.28i | 1.25936 | + | 1.09124i | 0.991814 | + | 0.127692i | \(0.0407569\pi\) |
0.267542 | + | 0.963546i | \(0.413789\pi\) | |||||||
\(182\) | −639.261 | − | 187.704i | −0.260358 | − | 0.0764481i | ||||
\(183\) | 2523.31 | − | 314.874i | 1.01928 | − | 0.127192i | ||||
\(184\) | 591.382 | + | 235.054i | 0.236942 | + | 0.0941761i | ||||
\(185\) | 1427.44i | 0.567283i | ||||||||
\(186\) | 1341.49 | + | 218.491i | 0.528831 | + | 0.0861320i | ||||
\(187\) | −26.5132 | + | 30.5978i | −0.0103681 | + | 0.0119654i | ||||
\(188\) | −570.912 | + | 888.357i | −0.221479 | + | 0.344628i | ||||
\(189\) | −209.010 | − | 894.132i | −0.0804404 | − | 0.344119i | ||||
\(190\) | −760.157 | + | 488.523i | −0.290251 | + | 0.186533i | ||||
\(191\) | −647.824 | − | 1418.54i | −0.245418 | − | 0.537391i | 0.746332 | − | 0.665573i | \(-0.231813\pi\) |
−0.991751 | + | 0.128183i | \(0.959086\pi\) | |||||||
\(192\) | −2332.53 | + | 2592.55i | −0.876750 | + | 0.974483i | ||||
\(193\) | −27.7346 | − | 192.898i | −0.0103439 | − | 0.0719436i | 0.983996 | − | 0.178193i | \(-0.0570250\pi\) |
−0.994340 | + | 0.106249i | \(0.966116\pi\) | |||||||
\(194\) | −3112.15 | + | 6814.65i | −1.15175 | + | 2.52198i | ||||
\(195\) | 284.343 | + | 654.674i | 0.104421 | + | 0.240422i | ||||
\(196\) | 2702.56 | − | 793.543i | 0.984898 | − | 0.289192i | ||||
\(197\) | 1921.54 | + | 877.538i | 0.694945 | + | 0.317371i | 0.731385 | − | 0.681965i | \(-0.238874\pi\) |
−0.0364399 | + | 0.999336i | \(0.511602\pi\) | |||||||
\(198\) | −636.610 | + | 262.492i | −0.228495 | + | 0.0942147i | ||||
\(199\) | 1818.12 | − | 1575.41i | 0.647654 | − | 0.561195i | −0.267872 | − | 0.963455i | \(-0.586320\pi\) |
0.915526 | + | 0.402259i | \(0.131775\pi\) | |||||||
\(200\) | 489.880 | − | 223.721i | 0.173199 | − | 0.0790971i | ||||
\(201\) | 2642.22 | − | 2204.56i | 0.927204 | − | 0.773621i | ||||
\(202\) | 539.763 | − | 3754.14i | 0.188008 | − | 1.30762i | ||||
\(203\) | −1054.62 | − | 677.766i | −0.364631 | − | 0.234334i | ||||
\(204\) | 268.194 | + | 179.514i | 0.0920459 | + | 0.0616103i | ||||
\(205\) | 559.702 | − | 1906.17i | 0.190689 | − | 0.649428i | ||||
\(206\) | 6258.65 | 2.11680 | ||||||||
\(207\) | −1921.41 | + | 2275.50i | −0.645157 | + | 0.764050i | ||||
\(208\) | −1245.54 | −0.415204 | ||||||||
\(209\) | 66.3840 | − | 226.083i | 0.0219707 | − | 0.0748253i | ||||
\(210\) | 662.960 | + | 443.748i | 0.217850 | + | 0.145817i | ||||
\(211\) | −2486.59 | − | 1598.03i | −0.811297 | − | 0.521389i | 0.0679871 | − | 0.997686i | \(-0.478342\pi\) |
−0.879284 | + | 0.476297i | \(0.841979\pi\) | |||||||
\(212\) | −967.416 | + | 6728.53i | −0.313408 | + | 2.17980i | ||||
\(213\) | 2570.99 | − | 2145.13i | 0.827050 | − | 0.690056i | ||||
\(214\) | 3782.91 | − | 1727.60i | 1.20838 | − | 0.551851i | ||||
\(215\) | −1457.20 | + | 1262.67i | −0.462233 | + | 0.400527i | ||||
\(216\) | 398.830 | + | 704.337i | 0.125634 | + | 0.221871i | ||||
\(217\) | 373.502 | + | 170.572i | 0.116843 | + | 0.0533604i | ||||
\(218\) | 1690.59 | − | 496.403i | 0.525235 | − | 0.154223i | ||||
\(219\) | 484.627 | + | 1115.81i | 0.149535 | + | 0.344291i | ||||
\(220\) | 134.154 | − | 293.757i | 0.0411122 | − | 0.0900231i | ||||
\(221\) | 22.9977 | + | 159.953i | 0.00699998 | + | 0.0486859i | ||||
\(222\) | −3676.41 | + | 4086.23i | −1.11146 | + | 1.23536i | ||||
\(223\) | 913.615 | + | 2000.54i | 0.274351 | + | 0.600744i | 0.995783 | − | 0.0917411i | \(-0.0292432\pi\) |
−0.721432 | + | 0.692485i | \(0.756516\pi\) | |||||||
\(224\) | −1425.27 | + | 915.963i | −0.425132 | + | 0.273216i | ||||
\(225\) | 265.377 | + | 2506.34i | 0.0786302 | + | 0.742619i | ||||
\(226\) | −410.800 | + | 639.218i | −0.120912 | + | 0.188142i | ||||
\(227\) | 2174.04 | − | 2508.97i | 0.635665 | − | 0.733597i | −0.342937 | − | 0.939358i | \(-0.611422\pi\) |
0.978602 | + | 0.205762i | \(0.0659672\pi\) | |||||||
\(228\) | −1853.81 | − | 301.935i | −0.538472 | − | 0.0877022i | ||||
\(229\) | 590.818i | 0.170491i | 0.996360 | + | 0.0852454i | \(0.0271674\pi\) | ||||
−0.996360 | + | 0.0852454i | \(0.972833\pi\) | |||||||
\(230\) | −129.526 | − | 2584.23i | −0.0371334 | − | 0.740865i | ||||
\(231\) | −206.428 | + | 25.7594i | −0.0587965 | + | 0.00733699i | ||||
\(232\) | 1060.30 | + | 311.334i | 0.300054 | + | 0.0881037i | ||||
\(233\) | 1934.90 | + | 1676.60i | 0.544032 | + | 0.471406i | 0.882988 | − | 0.469396i | \(-0.155528\pi\) |
−0.338956 | + | 0.940802i | \(0.610074\pi\) | |||||||
\(234\) | −872.165 | + | 2606.42i | −0.243655 | + | 0.728150i | ||||
\(235\) | 626.692 | + | 90.1047i | 0.173961 | + | 0.0250118i | ||||
\(236\) | −2223.34 | − | 3459.58i | −0.613250 | − | 0.954236i | ||||
\(237\) | −1860.33 | − | 3017.03i | −0.509880 | − | 0.826908i | ||||
\(238\) | 118.279 | + | 136.502i | 0.0322139 | + | 0.0371768i | ||||
\(239\) | 4028.68 | − | 579.236i | 1.09035 | − | 0.156769i | 0.426391 | − | 0.904539i | \(-0.359785\pi\) |
0.663958 | + | 0.747770i | \(0.268876\pi\) | |||||||
\(240\) | 1422.90 | + | 446.798i | 0.382700 | + | 0.120169i | ||||
\(241\) | 122.537 | + | 417.321i | 0.0327522 | + | 0.111544i | 0.974247 | − | 0.225484i | \(-0.0723965\pi\) |
−0.941495 | + | 0.337028i | \(0.890578\pi\) | |||||||
\(242\) | −1519.51 | − | 5174.97i | −0.403627 | − | 1.37463i | ||||
\(243\) | −3718.16 | + | 724.038i | −0.981563 | + | 0.191140i | ||||
\(244\) | −4545.44 | + | 653.536i | −1.19259 | + | 0.171469i | ||||
\(245\) | −1105.91 | − | 1276.29i | −0.288383 | − | 0.332812i | ||||
\(246\) | 6511.61 | − | 4015.13i | 1.68766 | − | 1.04063i | ||||
\(247\) | −508.461 | − | 791.180i | −0.130982 | − | 0.203812i | ||||
\(248\) | −358.263 | − | 51.5104i | −0.0917327 | − | 0.0131892i | ||||
\(249\) | 1208.66 | − | 2521.05i | 0.307613 | − | 0.641626i | ||||
\(250\) | −3870.86 | − | 3354.12i | −0.979259 | − | 0.848533i | ||||
\(251\) | −3746.93 | − | 1100.20i | −0.942247 | − | 0.276669i | −0.225692 | − | 0.974199i | \(-0.572464\pi\) |
−0.716555 | + | 0.697530i | \(0.754282\pi\) | |||||||
\(252\) | 407.507 | + | 1607.39i | 0.101867 | + | 0.401811i | ||||
\(253\) | 466.822 | + | 487.164i | 0.116003 | + | 0.121058i | ||||
\(254\) | − | 6635.67i | − | 1.63921i | ||||||
\(255\) | 31.1054 | − | 190.980i | 0.00763881 | − | 0.0469005i | ||||
\(256\) | −1529.94 | + | 1765.64i | −0.373520 | + | 0.431065i | ||||
\(257\) | −2121.50 | + | 3301.12i | −0.514925 | + | 0.801239i | −0.997200 | − | 0.0747808i | \(-0.976174\pi\) |
0.482275 | + | 0.876020i | \(0.339811\pi\) | |||||||
\(258\) | −7423.45 | − | 138.502i | −1.79133 | − | 0.0334215i | ||||
\(259\) | −1396.95 | + | 897.765i | −0.335144 | + | 0.215384i | ||||
\(260\) | −535.460 | − | 1172.49i | −0.127722 | − | 0.279673i | ||||
\(261\) | −2956.33 | + | 4243.32i | −0.701119 | + | 1.00634i | ||||
\(262\) | −991.743 | − | 6897.72i | −0.233855 | − | 1.62650i | ||||
\(263\) | −1612.03 | + | 3529.85i | −0.377954 | + | 0.827603i | 0.621084 | + | 0.783744i | \(0.286693\pi\) |
−0.999038 | + | 0.0438592i | \(0.986035\pi\) | |||||||
\(264\) | 168.197 | − | 73.0523i | 0.0392113 | − | 0.0170305i | ||||
\(265\) | 3910.58 | − | 1148.25i | 0.906510 | − | 0.266175i | ||||
\(266\) | −956.178 | − | 436.672i | −0.220402 | − | 0.100654i | ||||
\(267\) | −1856.64 | + | 507.737i | −0.425559 | + | 0.116378i | ||||
\(268\) | −4696.50 | + | 4069.54i | −1.07046 | + | 0.927562i | ||||
\(269\) | 220.223 | − | 100.572i | 0.0499153 | − | 0.0227955i | −0.390301 | − | 0.920687i | \(-0.627629\pi\) |
0.440216 | + | 0.897892i | \(0.354902\pi\) | |||||||
\(270\) | 1931.33 | − | 2664.72i | 0.435323 | − | 0.600628i | ||||
\(271\) | 332.232 | − | 2310.73i | 0.0744711 | − | 0.517958i | −0.918105 | − | 0.396336i | \(-0.870281\pi\) |
0.992577 | − | 0.121622i | \(-0.0388095\pi\) | |||||||
\(272\) | 284.058 | + | 182.553i | 0.0633218 | + | 0.0406945i | ||||
\(273\) | −461.858 | + | 690.016i | −0.102392 | + | 0.152973i | ||||
\(274\) | −2665.02 | + | 9076.23i | −0.587591 | + | 2.00115i | ||||
\(275\) | 570.993 | 0.125208 | ||||||||
\(276\) | 3392.63 | − | 4173.35i | 0.739899 | − | 0.910166i | ||||
\(277\) | 3703.65 | 0.803360 | 0.401680 | − | 0.915780i | \(-0.368426\pi\) | ||||
0.401680 | + | 0.915780i | \(0.368426\pi\) | |||||||
\(278\) | 1293.17 | − | 4404.12i | 0.278989 | − | 0.950149i | ||||
\(279\) | 760.647 | − | 1513.48i | 0.163221 | − | 0.324767i | ||||
\(280\) | −178.721 | − | 114.857i | −0.0381450 | − | 0.0245143i | ||||
\(281\) | −645.895 | + | 4492.30i | −0.137121 | + | 0.953695i | 0.798828 | + | 0.601559i | \(0.205454\pi\) |
−0.935949 | + | 0.352136i | \(0.885456\pi\) | |||||||
\(282\) | 1561.92 | + | 1872.00i | 0.329826 | + | 0.395304i | ||||
\(283\) | 952.250 | − | 434.878i | 0.200019 | − | 0.0913456i | −0.312887 | − | 0.949790i | \(-0.601296\pi\) |
0.512906 | + | 0.858445i | \(0.328569\pi\) | |||||||
\(284\) | −4569.89 | + | 3959.83i | −0.954835 | + | 0.827369i | ||||
\(285\) | 297.055 | + | 1086.24i | 0.0617404 | + | 0.225766i | ||||
\(286\) | 566.405 | + | 258.669i | 0.117106 | + | 0.0534804i | ||||
\(287\) | 2217.47 | − | 651.108i | 0.456074 | − | 0.133915i | ||||
\(288\) | 3556.67 | + | 6016.50i | 0.727703 | + | 1.23099i | ||||
\(289\) | −2022.74 | + | 4429.17i | −0.411711 | + | 0.901521i | ||||
\(290\) | −639.435 | − | 4447.37i | −0.129479 | − | 0.900547i | ||||
\(291\) | 6940.84 | + | 6244.73i | 1.39821 | + | 1.25798i | ||||
\(292\) | −912.626 | − | 1998.37i | −0.182902 | − | 0.400500i | ||||
\(293\) | −6777.83 | + | 4355.85i | −1.35142 | + | 0.868503i | −0.997761 | − | 0.0668731i | \(-0.978698\pi\) |
−0.353655 | + | 0.935376i | \(0.615061\pi\) | |||||||
\(294\) | 121.307 | − | 6501.83i | 0.0240638 | − | 1.28978i | ||||
\(295\) | −1333.04 | + | 2074.25i | −0.263093 | + | 0.409381i | ||||
\(296\) | 958.563 | − | 1106.24i | 0.188228 | − | 0.217226i | ||||
\(297\) | 74.4259 | + | 854.949i | 0.0145408 | + | 0.167034i | ||||
\(298\) | 2690.41i | 0.522991i | ||||||||
\(299\) | 2689.69 | − | 134.812i | 0.520231 | − | 0.0260748i | ||||
\(300\) | −563.594 | − | 4516.47i | −0.108464 | − | 0.869196i | ||||
\(301\) | −2152.18 | − | 631.937i | −0.412125 | − | 0.121011i | ||||
\(302\) | 5466.96 | + | 4737.15i | 1.04168 | + | 0.902624i | ||||
\(303\) | −4262.23 | − | 2043.43i | −0.808115 | − | 0.387432i | ||||
\(304\) | −1945.14 | − | 279.668i | −0.366978 | − | 0.0527634i | ||||
\(305\) | 1488.55 | + | 2316.24i | 0.279457 | + | 0.434843i | ||||
\(306\) | 580.918 | − | 466.592i | 0.108526 | − | 0.0871676i | ||||
\(307\) | 5251.60 | + | 6060.67i | 0.976302 | + | 1.12671i | 0.991924 | + | 0.126835i | \(0.0404819\pi\) |
−0.0156214 | + | 0.999878i | \(0.504973\pi\) | |||||||
\(308\) | 371.857 | − | 53.4649i | 0.0687938 | − | 0.00989106i | ||||
\(309\) | 2336.72 | − | 7441.69i | 0.430199 | − | 1.37004i | ||||
\(310\) | 414.609 | + | 1412.03i | 0.0759620 | + | 0.258703i | ||||
\(311\) | 686.944 | + | 2339.52i | 0.125251 | + | 0.426565i | 0.998113 | − | 0.0614013i | \(-0.0195569\pi\) |
−0.872862 | + | 0.487967i | \(0.837739\pi\) | |||||||
\(312\) | 219.271 | − | 698.305i | 0.0397877 | − | 0.126711i | ||||
\(313\) | −9435.50 | + | 1356.62i | −1.70392 | + | 0.244986i | −0.924408 | − | 0.381404i | \(-0.875441\pi\) |
−0.779509 | + | 0.626391i | \(0.784532\pi\) | |||||||
\(314\) | −7972.72 | − | 9201.01i | −1.43289 | − | 1.65364i | ||||
\(315\) | 775.149 | − | 622.598i | 0.138650 | − | 0.111363i | ||||
\(316\) | 3460.63 | + | 5384.84i | 0.616062 | + | 0.958611i | ||||
\(317\) | −4477.61 | − | 643.783i | −0.793337 | − | 0.114065i | −0.266281 | − | 0.963895i | \(-0.585795\pi\) |
−0.527056 | + | 0.849831i | \(0.676704\pi\) | |||||||
\(318\) | 14151.9 | + | 6784.80i | 2.49559 | + | 1.19646i | ||||
\(319\) | 885.471 | + | 767.265i | 0.155413 | + | 0.134666i | ||||
\(320\) | −3623.05 | − | 1063.82i | −0.632922 | − | 0.185843i | ||||
\(321\) | −641.773 | − | 5142.98i | −0.111590 | − | 0.894247i | ||||
\(322\) | 2447.57 | − | 1752.07i | 0.423595 | − | 0.303227i | ||||
\(323\) | 254.960i | 0.0439205i | ||||||||
\(324\) | 6689.06 | − | 1432.57i | 1.14696 | − | 0.245639i | ||||
\(325\) | 1492.46 | − | 1722.39i | 0.254728 | − | 0.293972i | ||||
\(326\) | 1933.40 | − | 3008.43i | 0.328470 | − | 0.511109i | ||||
\(327\) | 40.9620 | − | 2195.49i | 0.00692723 | − | 0.371287i | ||||
\(328\) | −1713.80 | + | 1101.39i | −0.288503 | + | 0.185410i | ||||
\(329\) | 305.968 | + | 669.976i | 0.0512722 | + | 0.112270i | ||||
\(330\) | −554.273 | − | 498.684i | −0.0924598 | − | 0.0831868i | ||||
\(331\) | −85.1328 | − | 592.112i | −0.0141369 | − | 0.0983245i | 0.981531 | − | 0.191301i | \(-0.0612708\pi\) |
−0.995668 | + | 0.0929770i | \(0.970362\pi\) | |||||||
\(332\) | −2097.41 | + | 4592.69i | −0.346718 | + | 0.759206i | ||||
\(333\) | 3486.01 | + | 5896.97i | 0.573669 | + | 0.970426i | ||||
\(334\) | 8857.05 | − | 2600.66i | 1.45101 | − | 0.426054i | ||||
\(335\) | 3389.21 | + | 1547.80i | 0.552753 | + | 0.252434i | ||||
\(336\) | 457.659 | + | 1673.52i | 0.0743075 | + | 0.271720i | ||||
\(337\) | 9046.32 | − | 7838.68i | 1.46227 | − | 1.26706i | 0.565362 | − | 0.824843i | \(-0.308736\pi\) |
0.896906 | − | 0.442220i | \(-0.145809\pi\) | |||||||
\(338\) | −6071.61 | + | 2772.81i | −0.977078 | + | 0.446216i | ||||
\(339\) | 606.670 | + | 727.109i | 0.0971970 | + | 0.116493i | ||||
\(340\) | −49.7299 | + | 345.879i | −0.00793231 | + | 0.0551704i | ||||
\(341\) | −322.834 | − | 207.473i | −0.0512681 | − | 0.0329480i | ||||
\(342\) | −1947.28 | + | 3874.57i | −0.307886 | + | 0.612611i | ||||
\(343\) | 1185.95 | − | 4038.98i | 0.186692 | − | 0.635815i | ||||
\(344\) | 1977.22 | 0.309897 | ||||||||
\(345\) | −3121.07 | − | 810.835i | −0.487052 | − | 0.126533i | ||||
\(346\) | 13775.2 | 2.14034 | ||||||||
\(347\) | 1757.94 | − | 5987.00i | 0.271963 | − | 0.926223i | −0.704348 | − | 0.709854i | \(-0.748761\pi\) |
0.976312 | − | 0.216368i | \(-0.0694211\pi\) | |||||||
\(348\) | 5194.96 | − | 7761.27i | 0.800227 | − | 1.19554i | ||||
\(349\) | −10504.0 | − | 6750.48i | −1.61107 | − | 1.03537i | −0.961399 | − | 0.275157i | \(-0.911270\pi\) |
−0.649672 | − | 0.760215i | \(-0.725094\pi\) | |||||||
\(350\) | 362.516 | − | 2521.36i | 0.0553638 | − | 0.385063i | ||||
\(351\) | 2773.47 | + | 2010.15i | 0.421757 | + | 0.305681i | ||||
\(352\) | 1440.32 | − | 657.773i | 0.218095 | − | 0.0996007i | ||||
\(353\) | 2675.84 | − | 2318.63i | 0.403458 | − | 0.349598i | −0.429372 | − | 0.903128i | \(-0.641265\pi\) |
0.832829 | + | 0.553530i | \(0.186720\pi\) | |||||||
\(354\) | −9158.27 | + | 2504.52i | −1.37502 | + | 0.376028i | ||||
\(355\) | 3297.84 | + | 1506.07i | 0.493046 | + | 0.225167i | ||||
\(356\) | 3335.22 | − | 979.308i | 0.496534 | − | 0.145796i | ||||
\(357\) | 206.464 | − | 89.6729i | 0.0306085 | − | 0.0132941i | ||||
\(358\) | −2946.99 | + | 6453.02i | −0.435066 | + | 0.952661i | ||||
\(359\) | −1501.83 | − | 10445.4i | −0.220789 | − | 1.53562i | −0.735064 | − | 0.677998i | \(-0.762848\pi\) |
0.514274 | − | 0.857626i | \(-0.328061\pi\) | |||||||
\(360\) | −500.990 | + | 719.088i | −0.0733458 | + | 0.105276i | ||||
\(361\) | 2232.93 | + | 4889.42i | 0.325547 | + | 0.712848i | ||||
\(362\) | −14232.7 | + | 9146.80i | −2.06645 | + | 1.32802i | ||||
\(363\) | −6720.49 | − | 125.386i | −0.971719 | − | 0.0181297i | ||||
\(364\) | 810.681 | − | 1261.44i | 0.116734 | − | 0.181642i | ||||
\(365\) | −862.573 | + | 995.463i | −0.123696 | + | 0.142753i | ||||
\(366\) | −1704.35 | + | 10464.3i | −0.243410 | + | 1.49448i | ||||
\(367\) | − | 12875.1i | − | 1.83127i | −0.402014 | − | 0.915634i | \(-0.631690\pi\) | ||
0.402014 | − | 0.915634i | \(-0.368310\pi\) | |||||||
\(368\) | 3467.53 | − | 4431.89i | 0.491188 | − | 0.627794i | ||||
\(369\) | −2342.92 | − | 9241.55i | −0.330535 | − | 1.30378i | ||||
\(370\) | −5710.46 | − | 1676.74i | −0.802359 | − | 0.235594i | ||||
\(371\) | 3583.22 | + | 3104.88i | 0.501433 | + | 0.434494i | ||||
\(372\) | −1322.43 | + | 2758.35i | −0.184314 | + | 0.384446i | ||||
\(373\) | −9959.38 | − | 1431.94i | −1.38251 | − | 0.198775i | −0.589396 | − | 0.807845i | \(-0.700634\pi\) |
−0.793117 | + | 0.609069i | \(0.791543\pi\) | |||||||
\(374\) | −91.2627 | − | 142.008i | −0.0126179 | − | 0.0196338i | ||||
\(375\) | −5433.35 | + | 3350.26i | −0.748206 | + | 0.461351i | ||||
\(376\) | −425.168 | − | 490.670i | −0.0583147 | − | 0.0672988i | ||||
\(377\) | 4628.87 | − | 665.531i | 0.632358 | − | 0.0909194i | ||||
\(378\) | 3822.48 | + | 214.151i | 0.520125 | + | 0.0291395i | ||||
\(379\) | 2714.52 | + | 9244.81i | 0.367904 | + | 1.25297i | 0.910689 | + | 0.413094i | \(0.135552\pi\) |
−0.542785 | + | 0.839872i | \(0.682630\pi\) | |||||||
\(380\) | −572.952 | − | 1951.29i | −0.0773469 | − | 0.263419i | ||||
\(381\) | −7889.97 | − | 2477.48i | −1.06093 | − | 0.333137i | ||||
\(382\) | 6435.81 | − | 925.329i | 0.862001 | − | 0.123937i | ||||
\(383\) | 762.074 | + | 879.480i | 0.101671 | + | 0.117335i | 0.804305 | − | 0.594217i | \(-0.202538\pi\) |
−0.702633 | + | 0.711552i | \(0.747993\pi\) | |||||||
\(384\) | −1983.86 | − | 3217.37i | −0.263642 | − | 0.427567i | ||||
\(385\) | −121.777 | − | 189.488i | −0.0161203 | − | 0.0250837i | ||||
\(386\) | 804.266 | + | 115.636i | 0.106052 | + | 0.0152480i | ||||
\(387\) | −2936.29 | + | 8774.95i | −0.385685 | + | 1.15260i | ||||
\(388\) | −12742.7 | − | 11041.6i | −1.66730 | − | 1.44472i | ||||
\(389\) | 9331.91 | + | 2740.10i | 1.21631 | + | 0.357142i | 0.826069 | − | 0.563569i | \(-0.190572\pi\) |
0.390246 | + | 0.920711i | \(0.372390\pi\) | |||||||
\(390\) | −2953.02 | + | 368.497i | −0.383416 | + | 0.0478450i | ||||
\(391\) | −633.172 | − | 363.471i | −0.0818948 | − | 0.0470116i | ||||
\(392\) | 1731.75i | 0.223128i | ||||||||
\(393\) | −8571.83 | − | 1396.12i | −1.10023 | − | 0.179198i | ||||
\(394\) | −5767.72 | + | 6656.31i | −0.737497 | + | 0.851117i | ||||
\(395\) | 2074.87 | − | 3228.57i | 0.264299 | − | 0.411258i | ||||
\(396\) | −163.184 | − | 1541.18i | −0.0207078 | − | 0.195573i | ||||
\(397\) | 8198.20 | − | 5268.66i | 1.03641 | − | 0.666062i | 0.0923156 | − | 0.995730i | \(-0.470573\pi\) |
0.944097 | + | 0.329668i | \(0.106937\pi\) | |||||||
\(398\) | 4166.76 | + | 9123.93i | 0.524776 | + | 1.14910i | ||||
\(399\) | −876.210 | + | 973.884i | −0.109938 | + | 0.122193i | ||||
\(400\) | −677.716 | − | 4713.62i | −0.0847145 | − | 0.589202i | ||||
\(401\) | −2415.81 | + | 5289.89i | −0.300847 | + | 0.658764i | −0.998326 | − | 0.0578418i | \(-0.981578\pi\) |
0.697478 | + | 0.716606i | \(0.254305\pi\) | |||||||
\(402\) | 5715.64 | + | 13159.8i | 0.709130 | + | 1.63271i | ||||
\(403\) | −1469.66 | + | 431.530i | −0.181660 | + | 0.0533401i | ||||
\(404\) | 7764.67 | + | 3546.01i | 0.956205 | + | 0.436684i | ||||
\(405\) | −2447.33 | − | 3291.30i | −0.300269 | − | 0.403817i | ||||
\(406\) | 3950.21 | − | 3422.88i | 0.482872 | − | 0.418411i | ||||
\(407\) | 1411.71 | − | 644.705i | 0.171931 | − | 0.0785181i | ||||
\(408\) | −152.354 | + | 127.118i | −0.0184869 | + | 0.0154247i | ||||
\(409\) | 45.1998 | − | 314.371i | 0.00546451 | − | 0.0380065i | −0.986907 | − | 0.161292i | \(-0.948434\pi\) |
0.992371 | + | 0.123285i | \(0.0393430\pi\) | |||||||
\(410\) | 6968.16 | + | 4478.17i | 0.839349 | + | 0.539417i | ||||
\(411\) | 9796.85 | + | 6557.47i | 1.17577 | + | 0.786997i | ||||
\(412\) | −3968.46 | + | 13515.3i | −0.474544 | + | 1.61615i | ||||
\(413\) | −2868.33 | −0.341747 | ||||||||
\(414\) | −6846.14 | − | 10359.5i | −0.812728 | − | 1.22981i | ||||
\(415\) | 3027.18 | 0.358068 | ||||||||
\(416\) | 1780.55 | − | 6063.98i | 0.209852 | − | 0.714690i | ||||
\(417\) | −4753.79 | − | 3181.92i | −0.558259 | − | 0.373668i | ||||
\(418\) | 826.466 | + | 531.137i | 0.0967076 | + | 0.0621502i | ||||
\(419\) | −685.441 | + | 4767.35i | −0.0799188 | + | 0.555848i | 0.910043 | + | 0.414514i | \(0.136048\pi\) |
−0.989962 | + | 0.141334i | \(0.954861\pi\) | |||||||
\(420\) | −1378.63 | + | 1150.27i | −0.160167 | + | 0.133637i | ||||
\(421\) | −1909.21 | + | 871.906i | −0.221019 | + | 0.100936i | −0.522848 | − | 0.852426i | \(-0.675130\pi\) |
0.301828 | + | 0.953362i | \(0.402403\pi\) | |||||||
\(422\) | 9313.79 | − | 8070.44i | 1.07438 | − | 0.930955i | ||||
\(423\) | 2809.01 | − | 1158.23i | 0.322881 | − | 0.133133i | ||||
\(424\) | −3801.72 | − | 1736.19i | −0.435442 | − | 0.198860i | ||||
\(425\) | −592.813 | + | 174.066i | −0.0676604 | + | 0.0198669i | ||||
\(426\) | 5561.56 | + | 12805.0i | 0.632532 | + | 1.45635i | ||||
\(427\) | −1330.56 | + | 2913.52i | −0.150797 | + | 0.330199i | ||||
\(428\) | 1332.03 | + | 9264.48i | 0.150435 | + | 1.04630i | ||||
\(429\) | 519.035 | − | 576.894i | 0.0584132 | − | 0.0649247i | ||||
\(430\) | −3339.60 | − | 7312.70i | −0.374534 | − | 0.820115i | ||||
\(431\) | −6317.20 | + | 4059.82i | −0.706006 | + | 0.453723i | −0.843744 | − | 0.536746i | \(-0.819653\pi\) |
0.137738 | + | 0.990469i | \(0.456017\pi\) | |||||||
\(432\) | 6969.37 | − | 1629.14i | 0.776190 | − | 0.181440i | ||||
\(433\) | 2865.74 | − | 4459.17i | 0.318057 | − | 0.494906i | −0.645008 | − | 0.764176i | \(-0.723146\pi\) |
0.963065 | + | 0.269270i | \(0.0867824\pi\) | |||||||
\(434\) | −1121.11 | + | 1293.83i | −0.123997 | + | 0.143101i | ||||
\(435\) | −5526.77 | − | 900.159i | −0.609169 | − | 0.0992168i | ||||
\(436\) | 3965.53i | 0.435584i | ||||||||
\(437\) | 4230.72 | + | 393.401i | 0.463119 | + | 0.0430639i | ||||
\(438\) | −5033.07 | + | 628.057i | −0.549062 | + | 0.0685154i | ||||
\(439\) | −10861.2 | − | 3189.14i | −1.18082 | − | 0.346719i | −0.368328 | − | 0.929696i | \(-0.620069\pi\) |
−0.812488 | + | 0.582977i | \(0.801888\pi\) | |||||||
\(440\) | 150.055 | + | 130.024i | 0.0162582 | + | 0.0140878i | ||||
\(441\) | −7685.54 | − | 2571.75i | −0.829882 | − | 0.277697i | ||||
\(442\) | −666.904 | − | 95.8864i | −0.0717679 | − | 0.0103187i | ||||
\(443\) | 368.204 | + | 572.937i | 0.0394897 | + | 0.0614471i | 0.860437 | − | 0.509557i | \(-0.170191\pi\) |
−0.820947 | + | 0.571004i | \(0.806554\pi\) | |||||||
\(444\) | −6492.94 | − | 10530.1i | −0.694012 | − | 1.12553i | ||||
\(445\) | −1364.80 | − | 1575.06i | −0.145388 | − | 0.167786i | ||||
\(446\) | −9076.31 | + | 1304.98i | −0.963623 | + | 0.138548i | ||||
\(447\) | 3198.96 | + | 1004.49i | 0.338492 | + | 0.106288i | ||||
\(448\) | −1237.56 | − | 4214.74i | −0.130512 | − | 0.444482i | ||||
\(449\) | −1719.39 | − | 5855.72i | −0.180720 | − | 0.615475i | −0.999164 | − | 0.0408886i | \(-0.986981\pi\) |
0.818444 | − | 0.574586i | \(-0.194837\pi\) | |||||||
\(450\) | −10338.3 | − | 1882.43i | −1.08301 | − | 0.197197i | ||||
\(451\) | −2137.95 | + | 307.391i | −0.223220 | + | 0.0320942i | ||||
\(452\) | −1119.89 | − | 1292.42i | −0.116538 | − | 0.134492i | ||||
\(453\) | 7673.73 | − | 4731.70i | 0.795901 | − | 0.490761i | ||||
\(454\) | 7483.40 | + | 11644.4i | 0.773597 | + | 1.20374i | ||||
\(455\) | −889.886 | − | 127.946i | −0.0916890 | − | 0.0131829i | ||||
\(456\) | 499.226 | − | 1041.30i | 0.0512684 | − | 0.106937i | ||||
\(457\) | −5746.48 | − | 4979.35i | −0.588204 | − | 0.509681i | 0.309138 | − | 0.951017i | \(-0.399959\pi\) |
−0.897342 | + | 0.441336i | \(0.854505\pi\) | |||||||
\(458\) | −2363.56 | − | 694.005i | −0.241140 | − | 0.0708051i | ||||
\(459\) | −337.899 | − | 864.932i | −0.0343611 | − | 0.0879554i | ||||
\(460\) | 5662.68 | + | 1358.89i | 0.573965 | + | 0.137736i | ||||
\(461\) | 6866.71i | 0.693741i | 0.937913 | + | 0.346871i | \(0.112756\pi\) | ||||
−0.937913 | + | 0.346871i | \(0.887244\pi\) | |||||||
\(462\) | 139.431 | − | 856.073i | 0.0140409 | − | 0.0862081i | ||||
\(463\) | −280.507 | + | 323.722i | −0.0281561 | + | 0.0324938i | −0.769653 | − | 0.638462i | \(-0.779571\pi\) |
0.741497 | + | 0.670956i | \(0.234116\pi\) | |||||||
\(464\) | 5282.89 | − | 8220.34i | 0.528561 | − | 0.822456i | ||||
\(465\) | 1833.74 | + | 34.2126i | 0.182876 | + | 0.00341198i | ||||
\(466\) | −8980.05 | + | 5771.13i | −0.892688 | + | 0.573696i | ||||
\(467\) | −1335.37 | − | 2924.06i | −0.132321 | − | 0.289742i | 0.831861 | − | 0.554984i | \(-0.187275\pi\) |
−0.964182 | + | 0.265242i | \(0.914548\pi\) | |||||||
\(468\) | −5075.46 | − | 3536.08i | −0.501310 | − | 0.349264i | ||||
\(469\) | 616.849 | + | 4290.28i | 0.0607323 | + | 0.422403i | ||||
\(470\) | −1096.61 | + | 2401.23i | −0.107623 | + | 0.235661i | ||||
\(471\) | −13916.9 | + | 6044.48i | −1.36148 | + | 0.591327i | ||||
\(472\) | 2425.99 | − | 712.336i | 0.236579 | − | 0.0694659i | ||||
\(473\) | 1906.90 | + | 870.851i | 0.185368 | + | 0.0846549i | ||||
\(474\) | 14254.8 | − | 3898.29i | 1.38132 | − | 0.377752i | ||||
\(475\) | 2717.49 | − | 2354.72i | 0.262499 | − | 0.227456i | ||||
\(476\) | −369.768 | + | 168.868i | −0.0356057 | + | 0.0162606i | ||||
\(477\) | 13351.0 | − | 14293.8i | 1.28155 | − | 1.37205i | ||||
\(478\) | −2415.06 | + | 16797.1i | −0.231092 | + | 1.60728i | ||||
\(479\) | −15485.2 | − | 9951.73i | −1.47711 | − | 0.949283i | −0.997416 | − | 0.0718482i | \(-0.977110\pi\) |
−0.479697 | − | 0.877434i | \(-0.659253\pi\) | |||||||
\(480\) | −4209.36 | + | 6288.79i | −0.400271 | + | 0.598005i | ||||
\(481\) | 1745.17 | − | 5943.51i | 0.165432 | − | 0.563411i | ||||
\(482\) | −1813.43 | −0.171368 | ||||||||
\(483\) | −1169.43 | − | 3564.37i | −0.110168 | − | 0.335785i | ||||
\(484\) | 12138.6 | 1.13999 | ||||||||
\(485\) | −2848.10 | + | 9699.75i | −0.266651 | + | 0.908130i | ||||
\(486\) | 1471.03 | − | 15724.9i | 0.137299 | − | 1.46769i | ||||
\(487\) | 4788.44 | + | 3077.35i | 0.445555 | + | 0.286341i | 0.744117 | − | 0.668050i | \(-0.232871\pi\) |
−0.298562 | + | 0.954390i | \(0.596507\pi\) | |||||||
\(488\) | 401.809 | − | 2794.65i | 0.0372727 | − | 0.259237i | ||||
\(489\) | −2855.25 | − | 3422.09i | −0.264046 | − | 0.316466i | ||||
\(490\) | 6404.82 | − | 2924.99i | 0.590491 | − | 0.269668i | ||||
\(491\) | −3244.68 | + | 2811.53i | −0.298228 | + | 0.258416i | −0.791102 | − | 0.611685i | \(-0.790492\pi\) |
0.492873 | + | 0.870101i | \(0.335947\pi\) | |||||||
\(492\) | 4541.67 | + | 16607.5i | 0.416167 | + | 1.52180i | ||||
\(493\) | −1153.21 | − | 526.652i | −0.105351 | − | 0.0481120i | ||||
\(494\) | 3762.37 | − | 1104.73i | 0.342666 | − | 0.100616i | ||||
\(495\) | −799.889 | + | 472.856i | −0.0726310 | + | 0.0429360i | ||||
\(496\) | −1329.54 | + | 2911.28i | −0.120359 | + | 0.263549i | ||||
\(497\) | 600.221 | + | 4174.63i | 0.0541722 | + | 0.376776i | ||||
\(498\) | 8665.68 | + | 7796.57i | 0.779755 | + | 0.701552i | ||||
\(499\) | 6671.15 | + | 14607.8i | 0.598480 | + | 1.31049i | 0.930180 | + | 0.367104i | \(0.119651\pi\) |
−0.331700 | + | 0.943385i | \(0.607622\pi\) | |||||||
\(500\) | 9697.53 | − | 6232.22i | 0.867374 | − | 0.557427i | ||||
\(501\) | 214.601 | − | 11502.2i | 0.0191370 | − | 1.02571i | ||||
\(502\) | 8802.66 | − | 13697.2i | 0.782633 | − | 1.21780i | ||||
\(503\) | 8772.20 | − | 10123.7i | 0.777600 | − | 0.897399i | −0.219333 | − | 0.975650i | \(-0.570388\pi\) |
0.996934 | + | 0.0782513i | \(0.0249336\pi\) | |||||||
\(504\) | −1018.82 | − | 38.0301i | −0.0900432 | − | 0.00336110i | ||||
\(505\) | − | 5117.93i | − | 0.450980i | ||||||
\(506\) | −2497.25 | + | 1295.27i | −0.219400 | + | 0.113798i | ||||
\(507\) | 1030.05 | + | 8254.55i | 0.0902294 | + | 0.723072i | ||||
\(508\) | 14329.5 | + | 4207.52i | 1.25151 | + | 0.367477i | ||||
\(509\) | 7183.82 | + | 6224.82i | 0.625574 | + | 0.542063i | 0.908928 | − | 0.416952i | \(-0.136902\pi\) |
−0.283354 | + | 0.959015i | \(0.591447\pi\) | |||||||
\(510\) | 727.476 | + | 348.772i | 0.0631631 | + | 0.0302821i | ||||
\(511\) | −1516.70 | − | 218.069i | −0.131301 | − | 0.0188783i | ||||
\(512\) | −8412.52 | − | 13090.1i | −0.726142 | − | 1.12990i | ||||
\(513\) | 3879.93 | + | 3761.97i | 0.333924 | + | 0.323772i | ||||
\(514\) | −10714.1 | − | 12364.7i | −0.919413 | − | 1.06106i | ||||
\(515\) | 8359.47 | − | 1201.91i | 0.715266 | − | 0.102840i | ||||
\(516\) | 5006.12 | − | 15942.9i | 0.427097 | − | 1.36017i | ||||
\(517\) | −193.935 | − | 660.481i | −0.0164976 | − | 0.0561855i | ||||
\(518\) | −1950.57 | − | 6643.05i | −0.165450 | − | 0.563473i | ||||
\(519\) | 5143.08 | − | 16379.0i | 0.434983 | − | 1.38528i | ||||
\(520\) | 784.426 | − | 112.783i | 0.0661526 | − | 0.00951131i | ||||
\(521\) | 4814.95 | + | 5556.75i | 0.404888 | + | 0.467266i | 0.921174 | − | 0.389150i | \(-0.127231\pi\) |
−0.516286 | + | 0.856416i | \(0.672686\pi\) | |||||||
\(522\) | −13502.7 | − | 16811.2i | −1.13218 | − | 1.40959i | ||||
\(523\) | 10619.2 | + | 16523.9i | 0.887853 | + | 1.38153i | 0.924087 | + | 0.382183i | \(0.124828\pi\) |
−0.0362333 | + | 0.999343i | \(0.511536\pi\) | |||||||
\(524\) | 15524.2 | + | 2232.05i | 1.29423 | + | 0.186083i | ||||
\(525\) | −2862.61 | − | 1372.41i | −0.237970 | − | 0.114089i | ||||
\(526\) | −12227.6 | − | 10595.2i | −1.01359 | − | 0.878278i | ||||
\(527\) | 398.418 | + | 116.986i | 0.0329324 | + | 0.00966981i | ||||
\(528\) | −200.783 | − | 1609.02i | −0.0165492 | − | 0.132620i | ||||
\(529\) | −7008.31 | + | 9945.83i | −0.576010 | + | 0.817443i | ||||
\(530\) | 16993.0i | 1.39270i | ||||||||
\(531\) | −441.381 | + | 11824.5i | −0.0360721 | + | 0.966364i | ||||
\(532\) | 1549.27 | − | 1787.95i | 0.126258 | − | 0.145709i | ||||
\(533\) | −4660.93 | + | 7252.54i | −0.378775 | + | 0.589386i | ||||
\(534\) | 149.704 | − | 8023.88i | 0.0121317 | − | 0.650238i | ||||
\(535\) | 4720.93 | − | 3033.96i | 0.381502 | − | 0.245177i | ||||
\(536\) | −1587.19 | − | 3475.46i | −0.127903 | − | 0.280069i | ||||
\(537\) | 6572.51 | + | 5913.34i | 0.528165 | + | 0.475194i | ||||
\(538\) | 143.654 | + | 999.136i | 0.0115118 | + | 0.0800666i | ||||
\(539\) | −762.735 | + | 1670.16i | −0.0609523 | + | 0.133467i | ||||
\(540\) | 4529.75 | + | 5860.28i | 0.360980 | + | 0.467012i | ||||
\(541\) | −4558.79 | + | 1338.58i | −0.362287 | + | 0.106377i | −0.457810 | − | 0.889050i | \(-0.651366\pi\) |
0.0955225 | + | 0.995427i | \(0.469548\pi\) | |||||||
\(542\) | 8853.79 | + | 4043.39i | 0.701666 | + | 0.320440i | ||||
\(543\) | 5561.87 | + | 20338.0i | 0.439563 | + | 1.60735i | ||||
\(544\) | −1294.84 | + | 1121.99i | −0.102051 | + | 0.0884280i | ||||
\(545\) | 2162.74 | − | 987.689i | 0.169984 | − | 0.0776292i | ||||
\(546\) | −2217.88 | − | 2658.19i | −0.173840 | − | 0.208352i | ||||
\(547\) | −2362.99 | + | 16434.9i | −0.184706 | + | 1.28466i | 0.660748 | + | 0.750608i | \(0.270239\pi\) |
−0.845454 | + | 0.534048i | \(0.820670\pi\) | |||||||
\(548\) | −17910.0 | − | 11510.0i | −1.39613 | − | 0.897235i | ||||
\(549\) | 11806.0 | + | 5933.46i | 0.917793 | + | 0.461264i | ||||
\(550\) | −670.717 | + | 2284.25i | −0.0519991 | + | 0.177093i | ||||
\(551\) | 7378.27 | 0.570463 | ||||||||
\(552\) | 1874.28 | + | 2724.26i | 0.144519 | + | 0.210059i | ||||
\(553\) | 4464.56 | 0.343314 | ||||||||
\(554\) | −4350.49 | + | 14816.4i | −0.333637 | + | 1.13626i | ||||
\(555\) | −4125.74 | + | 6163.85i | −0.315545 | + | 0.471425i | ||||
\(556\) | 8690.58 | + | 5585.09i | 0.662882 | + | 0.426009i | ||||
\(557\) | −1762.65 | + | 12259.5i | −0.134086 | + | 0.932590i | 0.806064 | + | 0.591829i | \(0.201594\pi\) |
−0.940150 | + | 0.340761i | \(0.889315\pi\) | |||||||
\(558\) | 5161.19 | + | 4820.78i | 0.391560 | + | 0.365734i | ||||
\(559\) | 7611.14 | − | 3475.89i | 0.575880 | − | 0.262996i | ||||
\(560\) | −1419.71 | + | 1230.19i | −0.107132 | + | 0.0928301i | ||||
\(561\) | −202.924 | + | 55.4939i | −0.0152718 | + | 0.00417639i | ||||
\(562\) | −17212.7 | − | 7860.78i | −1.29195 | − | 0.590013i | ||||
\(563\) | −16024.0 | + | 4705.06i | −1.19952 | + | 0.352211i | −0.819669 | − | 0.572837i | \(-0.805843\pi\) |
−0.379850 | + | 0.925048i | \(0.624024\pi\) | |||||||
\(564\) | −5032.89 | + | 2185.92i | −0.375750 | + | 0.163198i | ||||
\(565\) | −425.937 | + | 932.671i | −0.0317156 | + | 0.0694474i | ||||
\(566\) | 621.165 | + | 4320.30i | 0.0461299 | + | 0.320840i | ||||
\(567\) | 1681.79 | − | 4465.07i | 0.124565 | − | 0.330715i | ||||
\(568\) | −1544.40 | − | 3381.77i | −0.114088 | − | 0.249817i | ||||
\(569\) | 17472.2 | − | 11228.7i | 1.28730 | − | 0.827295i | 0.295527 | − | 0.955335i | \(-0.404505\pi\) |
0.991769 | + | 0.128040i | \(0.0408686\pi\) | |||||||
\(570\) | −4694.43 | − | 87.5856i | −0.344961 | − | 0.00643606i | ||||
\(571\) | −5586.27 | + | 8692.41i | −0.409419 | + | 0.637068i | −0.983326 | − | 0.181852i | \(-0.941791\pi\) |
0.573907 | + | 0.818921i | \(0.305427\pi\) | |||||||
\(572\) | −917.730 | + | 1059.12i | −0.0670843 | + | 0.0774194i | ||||
\(573\) | 1302.62 | − | 7997.81i | 0.0949701 | − | 0.583095i | ||||
\(574\) | 9635.80i | 0.700680i | ||||||||
\(575\) | 1973.69 | + | 10105.5i | 0.143145 | + | 0.732922i | ||||
\(576\) | −17565.4 | + | 4453.18i | −1.27064 | + | 0.322134i | ||||
\(577\) | −6773.71 | − | 1988.94i | −0.488723 | − | 0.143502i | 0.0280810 | − | 0.999606i | \(-0.491060\pi\) |
−0.516804 | + | 0.856104i | \(0.672879\pi\) | |||||||
\(578\) | −15342.9 | − | 13294.7i | −1.10412 | − | 0.956722i | ||||
\(579\) | 437.774 | − | 913.118i | 0.0314218 | − | 0.0655404i | ||||
\(580\) | 10009.4 | + | 1439.13i | 0.716582 | + | 0.103029i | ||||
\(581\) | 1903.89 | + | 2962.52i | 0.135950 | + | 0.211542i | ||||
\(582\) | −33135.0 | + | 20431.4i | −2.35995 | + | 1.45517i | ||||
\(583\) | −2901.82 | − | 3348.88i | −0.206142 | − | 0.237901i | ||||
\(584\) | 1336.96 | − | 192.226i | 0.0947324 | − | 0.0136205i | ||||
\(585\) | −664.385 | + | 3648.80i | −0.0469554 | + | 0.257879i | ||||
\(586\) | −9463.95 | − | 32231.3i | −0.667154 | − | 2.27212i | ||||
\(587\) | −7320.98 | − | 24933.0i | −0.514769 | − | 1.75314i | −0.647577 | − | 0.762000i | \(-0.724218\pi\) |
0.132809 | − | 0.991142i | \(-0.457600\pi\) | |||||||
\(588\) | 13963.5 | + | 4384.61i | 0.979332 | + | 0.307514i | ||||
\(589\) | −2392.03 | + | 343.923i | −0.167338 | + | 0.0240596i | ||||
\(590\) | −6732.15 | − | 7769.32i | −0.469760 | − | 0.542132i | ||||
\(591\) | 5761.08 | + | 9343.15i | 0.400980 | + | 0.650298i | ||||
\(592\) | −6997.69 | − | 10888.6i | −0.485816 | − | 0.755945i | ||||
\(593\) | −8630.36 | − | 1240.86i | −0.597650 | − | 0.0859291i | −0.163151 | − | 0.986601i | \(-0.552166\pi\) |
−0.434500 | + | 0.900672i | \(0.643075\pi\) | |||||||
\(594\) | −3507.64 | − | 706.526i | −0.242290 | − | 0.0488032i | ||||
\(595\) | 184.195 | + | 159.606i | 0.0126912 | + | 0.0109970i | ||||
\(596\) | −5809.85 | − | 1705.93i | −0.399296 | − | 0.117244i | ||||
\(597\) | 12404.3 | − | 1547.88i | 0.850374 | − | 0.106115i | ||||
\(598\) | −2620.14 | + | 10918.5i | −0.179173 | + | 0.746637i | ||||
\(599\) | 1735.17i | 0.118359i | 0.998247 | + | 0.0591796i | \(0.0188485\pi\) | ||||
−0.998247 | + | 0.0591796i | \(0.981152\pi\) | |||||||
\(600\) | 2761.98 | + | 449.850i | 0.187929 | + | 0.0306084i | ||||
\(601\) | −7930.81 | + | 9152.64i | −0.538277 | + | 0.621205i | −0.958111 | − | 0.286396i | \(-0.907543\pi\) |
0.419834 | + | 0.907601i | \(0.362088\pi\) | |||||||
\(602\) | 5056.12 | − | 7867.47i | 0.342312 | − | 0.532648i | ||||
\(603\) | 17781.3 | − | 1882.72i | 1.20085 | − | 0.127148i | ||||
\(604\) | −13696.2 | + | 8802.00i | −0.922665 | + | 0.592961i | ||||
\(605\) | −3023.35 | − | 6620.22i | −0.203168 | − | 0.444877i | ||||
\(606\) | 13181.4 | − | 14650.7i | 0.883591 | − | 0.982087i | ||||
\(607\) | −2555.82 | − | 17776.1i | −0.170902 | − | 1.18865i | −0.876984 | − | 0.480520i | \(-0.840448\pi\) |
0.706082 | − | 0.708130i | \(-0.250461\pi\) | |||||||
\(608\) | 4142.24 | − | 9070.23i | 0.276299 | − | 0.605011i | ||||
\(609\) | −2595.04 | − | 5974.86i | −0.172671 | − | 0.397559i | ||||
\(610\) | −11014.6 | + | 3234.18i | −0.731096 | + | 0.214669i | ||||
\(611\) | −2499.23 | − | 1141.36i | −0.165480 | − | 0.0755720i | ||||
\(612\) | 639.243 | + | 1550.33i | 0.0422220 | + | 0.102399i | ||||
\(613\) | 6721.41 | − | 5824.14i | 0.442864 | − | 0.383743i | −0.404689 | − | 0.914454i | \(-0.632620\pi\) |
0.847553 | + | 0.530711i | \(0.178075\pi\) | |||||||
\(614\) | −30414.5 | + | 13889.8i | −1.99907 | + | 0.912944i | ||||
\(615\) | 7926.27 | − | 6613.35i | 0.519704 | − | 0.433620i | ||||
\(616\) | −32.8715 | + | 228.626i | −0.00215005 | + | 0.0149539i | ||||
\(617\) | −18828.4 | − | 12100.3i | −1.22853 | − | 0.789527i | −0.244866 | − | 0.969557i | \(-0.578744\pi\) |
−0.983661 | + | 0.180030i | \(0.942380\pi\) | |||||||
\(618\) | 27025.6 | + | 18089.4i | 1.75911 | + | 1.17745i | ||||
\(619\) | 6192.21 | − | 21088.7i | 0.402078 | − | 1.36935i | −0.471156 | − | 0.882050i | \(-0.656163\pi\) |
0.873234 | − | 0.487301i | \(-0.162019\pi\) | |||||||
\(620\) | −3312.12 | −0.214545 | ||||||||
\(621\) | −14873.8 | + | 4272.41i | −0.961135 | + | 0.276080i | ||||
\(622\) | −10166.1 | −0.655346 | ||||||||
\(623\) | 683.049 | − | 2326.25i | 0.0439258 | − | 0.149598i | ||||
\(624\) | −5378.38 | − | 3599.98i | −0.345044 | − | 0.230953i | ||||
\(625\) | 4001.68 | + | 2571.72i | 0.256108 | + | 0.164590i | ||||
\(626\) | 5656.27 | − | 39340.2i | 0.361134 | − | 2.51174i | ||||
\(627\) | 940.103 | − | 784.383i | 0.0598790 | − | 0.0499605i | ||||
\(628\) | 24924.6 | − | 11382.7i | 1.58376 | − | 0.723277i | ||||
\(629\) | −1269.12 | + | 1099.70i | −0.0804500 | + | 0.0697103i | ||||
\(630\) | 1580.17 | + | 3832.31i | 0.0999294 | + | 0.242354i | ||||
\(631\) | 12247.4 | + | 5593.19i | 0.772679 | + | 0.352871i | 0.762425 | − | 0.647077i | \(-0.224009\pi\) |
0.0102540 | + | 0.999947i | \(0.496736\pi\) | |||||||
\(632\) | −3776.06 | + | 1108.75i | −0.237664 | + | 0.0697844i | ||||
\(633\) | −6118.57 | − | 14087.5i | −0.384189 | − | 0.884562i | ||||
\(634\) | 7835.08 | − | 17156.4i | 0.490806 | − | 1.07471i | ||||
\(635\) | −1274.31 | − | 8863.03i | −0.0796370 | − | 0.553888i | ||||
\(636\) | −23624.9 | + | 26258.4i | −1.47294 | + | 1.63713i | ||||
\(637\) | 3044.36 | + | 6666.21i | 0.189359 | + | 0.414639i | ||||
\(638\) | −4109.55 | + | 2641.05i | −0.255014 | + | 0.163887i | ||||
\(639\) | 17301.9 | − | 1831.97i | 1.07113 | − | 0.113414i | ||||
\(640\) | 2212.65 | − | 3442.95i | 0.136660 | − | 0.212648i | ||||
\(641\) | −983.212 | + | 1134.69i | −0.0605843 | + | 0.0699180i | −0.785233 | − | 0.619201i | \(-0.787457\pi\) |
0.724648 | + | 0.689119i | \(0.242002\pi\) | |||||||
\(642\) | 21328.3 | + | 3473.80i | 1.31116 | + | 0.213551i | ||||
\(643\) | 18820.0i | 1.15426i | 0.816654 | + | 0.577128i | \(0.195827\pi\) | ||||
−0.816654 | + | 0.577128i | \(0.804173\pi\) | |||||||
\(644\) | 2231.59 | + | 6396.38i | 0.136548 | + | 0.391386i | ||||
\(645\) | −9941.84 | + | 1240.60i | −0.606914 | + | 0.0757345i | ||||
\(646\) | −1019.96 | − | 299.489i | −0.0621207 | − | 0.0182403i | ||||
\(647\) | −6420.95 | − | 5563.79i | −0.390160 | − | 0.338076i | 0.437588 | − | 0.899176i | \(-0.355833\pi\) |
−0.827748 | + | 0.561100i | \(0.810378\pi\) | |||||||
\(648\) | −313.553 | + | 4194.15i | −0.0190085 | + | 0.254262i | ||||
\(649\) | 2653.46 | + | 381.509i | 0.160489 | + | 0.0230748i | ||||
\(650\) | 5137.28 | + | 7993.77i | 0.310001 | + | 0.482371i | ||||
\(651\) | 1119.82 | + | 1816.09i | 0.0674180 | + | 0.109336i | ||||
\(652\) | 5270.68 | + | 6082.69i | 0.316589 | + | 0.365363i | ||||
\(653\) | 6687.77 | − | 961.557i | 0.400785 | − | 0.0576242i | 0.0610249 | − | 0.998136i | \(-0.480563\pi\) |
0.339760 | + | 0.940512i | \(0.389654\pi\) | |||||||
\(654\) | 8734.93 | + | 2742.80i | 0.522267 | + | 0.163994i | ||||
\(655\) | −2649.27 | − | 9022.59i | −0.158039 | − | 0.538232i | ||||
\(656\) | 5075.10 | + | 17284.2i | 0.302057 | + | 1.02871i | ||||
\(657\) | −1132.36 | + | 6218.93i | −0.0672415 | + | 0.369290i | ||||
\(658\) | −3039.64 | + | 437.034i | −0.180087 | + | 0.0258926i | ||||
\(659\) | −1809.47 | − | 2088.24i | −0.106960 | − | 0.123439i | 0.699745 | − | 0.714393i | \(-0.253297\pi\) |
−0.806705 | + | 0.590954i | \(0.798751\pi\) | |||||||
\(660\) | 1428.34 | − | 880.730i | 0.0842396 | − | 0.0519430i | ||||
\(661\) | −14356.1 | − | 22338.5i | −0.844762 | − | 1.31448i | −0.947496 | − | 0.319767i | \(-0.896396\pi\) |
0.102734 | − | 0.994709i | \(-0.467241\pi\) | |||||||
\(662\) | 2468.74 | + | 354.951i | 0.144940 | + | 0.0208392i | ||||
\(663\) | −363.006 | + | 757.166i | −0.0212639 | + | 0.0443528i | ||||
\(664\) | −2346.01 | − | 2032.83i | −0.137113 | − | 0.118809i | ||||
\(665\) | −1360.99 | − | 399.623i | −0.0793639 | − | 0.0233033i | ||||
\(666\) | −27685.6 | + | 7018.86i | −1.61080 | + | 0.408371i | ||||
\(667\) | −10518.5 | + | 18323.3i | −0.610611 | + | 1.06369i | ||||
\(668\) | 20775.5i | 1.20334i | ||||||||
\(669\) | −1837.07 | + | 11279.2i | −0.106166 | + | 0.651836i | ||||
\(670\) | −10173.1 | + | 11740.4i | −0.586599 | + | 0.676971i | ||||
\(671\) | 1618.40 | − | 2518.28i | 0.0931113 | − | 0.144884i | ||||
\(672\) | −8801.88 | − | 164.220i | −0.505267 | − | 0.00942695i | ||||
\(673\) | 14424.6 | − | 9270.11i | 0.826191 | − | 0.530961i | −0.0578743 | − | 0.998324i | \(-0.518432\pi\) |
0.884066 | + | 0.467363i | \(0.154796\pi\) | |||||||
\(674\) | 20732.3 | + | 45397.5i | 1.18484 | + | 2.59443i | ||||
\(675\) | −6098.16 | + | 11589.7i | −0.347731 | + | 0.660870i | ||||
\(676\) | −2137.93 | − | 14869.6i | −0.121639 | − | 0.846018i | ||||
\(677\) | 4081.83 | − | 8937.95i | 0.231724 | − | 0.507405i | −0.757674 | − | 0.652633i | \(-0.773664\pi\) |
0.989398 | + | 0.145228i | \(0.0463915\pi\) | |||||||
\(678\) | −3621.42 | + | 1572.88i | −0.205132 | + | 0.0890945i | ||||
\(679\) | −11283.8 | + | 3313.23i | −0.637753 | + | 0.187261i | ||||
\(680\) | −195.427 | − | 89.2484i | −0.0110210 | − | 0.00503312i | ||||
\(681\) | 16639.5 | − | 4550.41i | 0.936307 | − | 0.256053i | ||||
\(682\) | 1209.21 | − | 1047.79i | 0.0678930 | − | 0.0588296i | ||||
\(683\) | 8301.20 | − | 3791.03i | 0.465061 | − | 0.212386i | −0.169082 | − | 0.985602i | \(-0.554080\pi\) |
0.634143 | + | 0.773216i | \(0.281353\pi\) | |||||||
\(684\) | −7132.28 | − | 6661.87i | −0.398698 | − | 0.372402i | ||||
\(685\) | −1816.58 | + | 12634.6i | −0.101326 | + | 0.704735i | ||||
\(686\) | 14764.8 | + | 9488.78i | 0.821755 | + | 0.528110i | ||||
\(687\) | −1707.65 | + | 2551.22i | −0.0948337 | + | 0.141682i | ||||
\(688\) | 4925.67 | − | 16775.3i | 0.272950 | − | 0.929582i | ||||
\(689\) | −17686.6 | −0.977945 | ||||||||
\(690\) | 6909.91 | − | 11533.4i | 0.381240 | − | 0.636330i | ||||
\(691\) | −13858.5 | −0.762958 | −0.381479 | − | 0.924378i | \(-0.624585\pi\) | ||||
−0.381479 | + | 0.924378i | \(0.624585\pi\) | |||||||
\(692\) | −8734.51 | + | 29747.0i | −0.479821 | + | 1.63412i | ||||
\(693\) | −965.834 | − | 485.409i | −0.0529423 | − | 0.0266077i | ||||
\(694\) | 21886.0 | + | 14065.3i | 1.19709 | + | 0.769324i | ||||
\(695\) | 881.472 | − | 6130.77i | 0.0481095 | − | 0.334609i | ||||
\(696\) | 3678.67 | + | 4408.98i | 0.200344 | + | 0.240118i | ||||
\(697\) | 2125.95 | − | 970.887i | 0.115532 | − | 0.0527618i | ||||
\(698\) | 39343.7 | − | 34091.5i | 2.13350 | − | 1.84869i | ||||
\(699\) | 3509.23 | + | 12832.2i | 0.189888 | + | 0.694361i | ||||
\(700\) | 5214.92 | + | 2381.57i | 0.281579 | + | 0.128593i | ||||
\(701\) | −11319.2 | + | 3323.62i | −0.609873 | + | 0.179075i | −0.572062 | − | 0.820210i | \(-0.693856\pi\) |
−0.0378104 | + | 0.999285i | \(0.512038\pi\) | |||||||
\(702\) | −11299.5 | + | 8734.01i | −0.607508 | + | 0.469578i | ||||
\(703\) | 4059.94 | − | 8890.03i | 0.217815 | − | 0.476947i | ||||
\(704\) | 584.258 | + | 4063.60i | 0.0312785 | + | 0.217547i | ||||
\(705\) | 2445.70 | + | 2200.41i | 0.130653 | + | 0.117549i | ||||
\(706\) | 6132.47 | + | 13428.2i | 0.326910 | + | 0.715834i | ||||
\(707\) | 5008.61 | − | 3218.84i | 0.266433 | − | 0.171226i | ||||
\(708\) | 398.614 | − | 21365.0i | 0.0211594 | − | 1.13411i | ||||
\(709\) | 4899.27 | − | 7623.41i | 0.259515 | − | 0.403813i | −0.686907 | − | 0.726745i | \(-0.741032\pi\) |
0.946422 | + | 0.322932i | \(0.104669\pi\) | |||||||
\(710\) | −9898.85 | + | 11423.9i | −0.523236 | + | 0.603846i | ||||
\(711\) | 687.009 | − | 18404.8i | 0.0362375 | − | 0.970794i | ||||
\(712\) | 2137.14i | 0.112490i | ||||||||
\(713\) | 2555.99 | − | 6430.72i | 0.134253 | − | 0.337773i | ||||
\(714\) | 116.212 | + | 931.293i | 0.00609124 | + | 0.0488134i | ||||
\(715\) | 806.203 | + | 236.722i | 0.0421682 | + | 0.0123817i | ||||
\(716\) | −12066.4 | − | 10455.6i | −0.629811 | − | 0.545734i | ||||
\(717\) | 19070.5 | + | 9142.90i | 0.993305 | + | 0.476217i | ||||
\(718\) | 43551.0 | + | 6261.69i | 2.26366 | + | 0.325465i | ||||
\(719\) | 14192.5 | + | 22084.0i | 0.736150 | + | 1.14547i | 0.984258 | + | 0.176739i | \(0.0565549\pi\) |
−0.248108 | + | 0.968732i | \(0.579809\pi\) | |||||||
\(720\) | 4852.88 | + | 6041.95i | 0.251189 | + | 0.312736i | ||||
\(721\) | 6433.79 | + | 7424.99i | 0.332326 | + | 0.383525i | ||||
\(722\) | −22183.0 | + | 3189.44i | −1.14344 | + | 0.164402i | ||||
\(723\) | −677.059 | + | 2156.21i | −0.0348272 | + | 0.110913i | ||||
\(724\) | −10727.6 | − | 36534.8i | −0.550673 | − | 1.87542i | ||||
\(725\) | 5037.28 | + | 17155.4i | 0.258041 | + | 0.878808i | ||||
\(726\) | 8395.83 | − | 26738.0i | 0.429199 | − | 1.36686i | ||||
\(727\) | 2822.26 | − | 405.780i | 0.143978 | − | 0.0207009i | −0.0699490 | − | 0.997551i | \(-0.522284\pi\) |
0.213927 | + | 0.976850i | \(0.431375\pi\) | |||||||
\(728\) | 603.727 | + | 696.738i | 0.0307357 | + | 0.0354709i | ||||
\(729\) | −18148.1 | − | 7620.13i | −0.922020 | − | 0.387142i | ||||
\(730\) | −2969.12 | − | 4620.04i | −0.150537 | − | 0.234240i | ||||
\(731\) | −2245.24 | − | 322.817i | −0.113602 | − | 0.0163336i | ||||
\(732\) | −21516.7 | − | 10315.7i | −1.08645 | − | 0.520872i | ||||
\(733\) | 15255.9 | + | 13219.3i | 0.768743 | + | 0.666120i | 0.948210 | − | 0.317644i | \(-0.102892\pi\) |
−0.179467 | + | 0.983764i | \(0.557437\pi\) | |||||||
\(734\) | 51506.8 | + | 15123.7i | 2.59012 | + | 0.760528i | ||||
\(735\) | −1086.58 | − | 8707.56i | −0.0545296 | − | 0.436984i | ||||
\(736\) | 16620.0 | + | 23217.5i | 0.832366 | + | 1.16278i | ||||
\(737\) | − | 4050.92i | − | 0.202466i | ||||||
\(738\) | 39722.8 | + | 1482.76i | 1.98133 | + | 0.0739583i | ||||
\(739\) | −4022.18 | + | 4641.85i | −0.200214 | + | 0.231060i | −0.846974 | − | 0.531634i | \(-0.821578\pi\) |
0.646760 | + | 0.762694i | \(0.276124\pi\) | |||||||
\(740\) | 7241.73 | − | 11268.4i | 0.359745 | − | 0.559774i | ||||
\(741\) | 91.1600 | − | 4886.02i | 0.00451936 | − | 0.242230i | ||||
\(742\) | −16630.1 | + | 10687.5i | −0.822789 | + | 0.528775i | ||||
\(743\) | −15602.5 | − | 34164.6i | −0.770389 | − | 1.68692i | −0.725796 | − | 0.687910i | \(-0.758528\pi\) |
−0.0445929 | − | 0.999005i | \(-0.514199\pi\) | |||||||
\(744\) | −1398.14 | − | 1257.92i | −0.0688955 | − | 0.0619858i | ||||
\(745\) | 516.666 | + | 3593.49i | 0.0254083 | + | 0.176718i | ||||
\(746\) | 17427.3 | − | 38160.4i | 0.855305 | − | 1.87286i | ||||
\(747\) | 12505.7 | − | 7392.78i | 0.612531 | − | 0.362099i | ||||
\(748\) | 364.528 | − | 107.035i | 0.0178188 | − | 0.00523207i | ||||
\(749\) | 5938.31 | + | 2711.94i | 0.289694 | + | 0.132299i | ||||
\(750\) | −7020.40 | − | 25671.5i | −0.341798 | − | 1.24985i | ||||
\(751\) | −6507.21 | + | 5638.53i | −0.316180 | + | 0.273972i | −0.798463 | − | 0.602044i | \(-0.794353\pi\) |
0.482283 | + | 0.876016i | \(0.339808\pi\) | |||||||
\(752\) | −5222.17 | + | 2384.88i | −0.253235 | + | 0.115649i | ||||
\(753\) | −12999.8 | − | 15580.5i | −0.629134 | − | 0.754033i | ||||
\(754\) | −2774.85 | + | 19299.5i | −0.134024 | + | 0.932159i | ||||
\(755\) | 8211.76 | + | 5277.38i | 0.395836 | + | 0.254389i | ||||
\(756\) | −2886.20 | + | 8118.73i | −0.138849 | + | 0.390576i | ||||
\(757\) | −2542.95 | + | 8660.50i | −0.122094 | + | 0.415814i | −0.997744 | − | 0.0671321i | \(-0.978615\pi\) |
0.875650 | + | 0.482946i | \(0.160433\pi\) | |||||||
\(758\) | −40172.4 | −1.92497 | ||||||||
\(759\) | 607.738 | + | 3452.89i | 0.0290639 | + | 0.165128i | ||||
\(760\) | 1250.35 | 0.0596776 | ||||||||
\(761\) | 6921.45 | − | 23572.3i | 0.329701 | − | 1.12286i | −0.613240 | − | 0.789897i | \(-0.710134\pi\) |
0.942940 | − | 0.332961i | \(-0.108048\pi\) | |||||||
\(762\) | 19179.1 | − | 28653.6i | 0.911792 | − | 1.36222i | ||||
\(763\) | 2326.81 | + | 1495.35i | 0.110401 | + | 0.0709506i | ||||
\(764\) | −2082.58 | + | 14484.6i | −0.0986190 | + | 0.685910i | ||||
\(765\) | 686.308 | − | 734.770i | 0.0324360 | − | 0.0347264i | ||||
\(766\) | −4413.52 | + | 2015.59i | −0.208182 | + | 0.0950733i | ||||
\(767\) | 8086.40 | − | 7006.90i | 0.380682 | − | 0.329863i | ||||
\(768\) | −11709.7 | + | 3202.26i | −0.550179 | + | 0.150458i | ||||
\(769\) | −26710.3 | − | 12198.2i | −1.25254 | − | 0.572014i | −0.324988 | − | 0.945718i | \(-0.605360\pi\) |
−0.927548 | + | 0.373705i | \(0.878087\pi\) | |||||||
\(770\) | 901.091 | − | 264.584i | 0.0421728 | − | 0.0123831i | ||||
\(771\) | −18702.2 | + | 8122.85i | −0.873595 | + | 0.379426i | ||||
\(772\) | −759.678 | + | 1663.46i | −0.0354163 | + | 0.0775509i | ||||
\(773\) | 190.979 | + | 1328.29i | 0.00888621 | + | 0.0618049i | 0.993782 | − | 0.111343i | \(-0.0355152\pi\) |
−0.984896 | + | 0.173148i | \(0.944606\pi\) | |||||||
\(774\) | −31655.0 | − | 22054.1i | −1.47005 | − | 1.02418i | ||||
\(775\) | −2432.75 | − | 5326.97i | −0.112757 | − | 0.246904i | ||||
\(776\) | 8720.87 | − | 5604.56i | 0.403429 | − | 0.259268i | ||||
\(777\) | −8627.01 | − | 160.957i | −0.398317 | − | 0.00743153i | ||||
\(778\) | −21923.5 | + | 34113.6i | −1.01028 | + | 1.57202i | ||||
\(779\) | −8907.35 | + | 10279.6i | −0.409678 | + | 0.472794i | ||||
\(780\) | 1076.69 | − | 6610.60i | 0.0494251 | − | 0.303458i | ||||
\(781\) | − | 3941.72i | − | 0.180596i | ||||||
\(782\) | 2197.82 | − | 2106.05i | 0.100504 | − | 0.0963070i | ||||
\(783\) | −25030.2 | + | 9778.45i | −1.14241 | + | 0.446300i | ||||
\(784\) | 14692.6 | + | 4314.15i | 0.669308 | + | 0.196526i | ||||
\(785\) | −12415.8 | − | 10758.4i | −0.564510 | − | 0.489151i | ||||
\(786\) | 15654.1 | − | 32651.6i | 0.710384 | − | 1.48174i | ||||
\(787\) | 776.043 | + | 111.578i | 0.0351499 | + | 0.00505379i | 0.159867 | − | 0.987139i | \(-0.448893\pi\) |
−0.124717 | + | 0.992192i | \(0.539802\pi\) | |||||||
\(788\) | −10716.9 | − | 16675.8i | −0.484484 | − | 0.753872i | ||||
\(789\) | −17163.3 | + | 10583.0i | −0.774434 | + | 0.477524i | ||||
\(790\) | 10478.6 | + | 12092.9i | 0.471914 | + | 0.544617i | ||||
\(791\) | −1180.64 | + | 169.750i | −0.0530703 | + | 0.00763036i | ||||
\(792\) | 937.436 | + | 170.691i | 0.0420585 | + | 0.00765815i | ||||
\(793\) | −3366.17 | − | 11464.1i | −0.150739 | − | 0.513371i | ||||
\(794\) | 11447.2 | + | 38985.7i | 0.511646 | + | 1.74251i | ||||
\(795\) | 20205.1 | + | 6344.50i | 0.901387 | + | 0.283039i | ||||
\(796\) | −22344.9 | + | 3212.71i | −0.994966 | + | 0.143054i | ||||
\(797\) | 8202.00 | + | 9465.62i | 0.364529 | + | 0.420689i | 0.908152 | − | 0.418640i | \(-0.137493\pi\) |
−0.543623 | + | 0.839330i | \(0.682948\pi\) | |||||||
\(798\) | −2866.77 | − | 4649.25i | −0.127171 | − | 0.206242i | ||||
\(799\) | 402.691 | + | 626.600i | 0.0178300 | + | 0.0277441i | ||||
\(800\) | 23917.4 | + | 3438.80i | 1.05701 | + | 0.151975i | ||||
\(801\) | −9484.69 | − | 3173.78i | −0.418383 | − | 0.140000i | ||||
\(802\) | −18324.4 | − | 15878.2i | −0.806805 | − | 0.699101i | ||||
\(803\) | 1374.07 | + | 403.465i | 0.0603861 | + | 0.0177310i | ||||
\(804\) | −32042.2 | + | 3998.43i | −1.40553 | + | 0.175390i | ||||
\(805\) | 2932.67 | − | 2810.21i | 0.128401 | − | 0.123040i | ||||
\(806\) | − | 6386.25i | − | 0.279089i | ||||||
\(807\) | 1241.63 | + | 202.228i | 0.0541605 | + | 0.00882125i | ||||
\(808\) | −3436.82 | + | 3966.30i | −0.149637 | + | 0.172691i | ||||
\(809\) | −21017.8 | + | 32704.3i | −0.913406 | + | 1.42129i | −0.00648931 | + | 0.999979i | \(0.502066\pi\) |
−0.906917 | + | 0.421309i | \(0.861571\pi\) | |||||||
\(810\) | 16041.6 | − | 5924.41i | 0.695856 | − | 0.256991i | ||||
\(811\) | −14225.6 | + | 9142.25i | −0.615942 | + | 0.395842i | −0.811081 | − | 0.584934i | \(-0.801121\pi\) |
0.195139 | + | 0.980776i | \(0.437484\pi\) | |||||||
\(812\) | 4886.85 | + | 10700.7i | 0.211201 | + | 0.462465i | ||||
\(813\) | 8113.33 | − | 9017.74i | 0.349996 | − | 0.389011i | ||||
\(814\) | 920.875 | + | 6404.83i | 0.0396519 | + | 0.275785i | ||||
\(815\) | 2004.64 | − | 4389.55i | 0.0861589 | − | 0.188662i | ||||
\(816\) | 698.961 | + | 1609.30i | 0.0299859 | + | 0.0690401i | ||||
\(817\) | 12666.7 | − | 3719.27i | 0.542412 | − | 0.159266i | ||||
\(818\) | 1204.55 | + | 550.098i | 0.0514865 | + | 0.0235131i | ||||
\(819\) | −3988.72 | + | 1644.66i | −0.170179 | + | 0.0701698i | ||||
\(820\) | −14088.8 | + | 12208.0i | −0.600002 | + | 0.519905i | ||||
\(821\) | 9631.03 | − | 4398.34i | 0.409410 | − | 0.186971i | −0.200055 | − | 0.979785i | \(-0.564112\pi\) |
0.609464 | + | 0.792814i | \(0.291385\pi\) | |||||||
\(822\) | −37741.0 | + | 31489.5i | −1.60142 | + | 1.33616i | ||||
\(823\) | 4030.60 | − | 28033.5i | 0.170714 | − | 1.18735i | −0.706665 | − | 0.707548i | \(-0.749801\pi\) |
0.877380 | − | 0.479797i | \(-0.159290\pi\) | |||||||
\(824\) | −7285.56 | − | 4682.15i | −0.308015 | − | 0.197949i | ||||
\(825\) | 2465.61 | + | 1650.34i | 0.104051 | + | 0.0696456i | ||||
\(826\) | 3369.29 | − | 11474.8i | 0.141928 | − | 0.483363i | ||||
\(827\) | −25557.7 | −1.07464 | −0.537320 | − | 0.843378i | \(-0.680563\pi\) | ||||
−0.537320 | + | 0.843378i | \(0.680563\pi\) | |||||||
\(828\) | 26712.0 | − | 8215.27i | 1.12114 | − | 0.344807i | ||||
\(829\) | −6703.51 | −0.280847 | −0.140424 | − | 0.990092i | \(-0.544846\pi\) | ||||
−0.140424 | + | 0.990092i | \(0.544846\pi\) | |||||||
\(830\) | −3555.87 | + | 12110.2i | −0.148706 | + | 0.506447i | ||||
\(831\) | 15992.8 | + | 10704.7i | 0.667610 | + | 0.446861i | ||||
\(832\) | 13784.9 | + | 8859.02i | 0.574405 | + | 0.369148i | ||||
\(833\) | 282.740 | − | 1966.50i | 0.0117603 | − | 0.0817948i | ||||
\(834\) | 18313.3 | − | 15279.9i | 0.760357 | − | 0.634410i | ||||
\(835\) | 11330.6 | − | 5174.52i | 0.469596 | − | 0.214457i | ||||
\(836\) | −1671.01 | + | 1447.94i | −0.0691307 | + | 0.0599021i | ||||
\(837\) | 7658.99 | − | 4336.90i | 0.316289 | − | 0.179098i | ||||
\(838\) | −18266.6 | − | 8342.07i | −0.752994 | − | 0.343881i | ||||
\(839\) | 32132.2 | − | 9434.86i | 1.32220 | − | 0.388233i | 0.456914 | − | 0.889511i | \(-0.348955\pi\) |
0.865287 | + | 0.501277i | \(0.167136\pi\) | |||||||
\(840\) | −439.766 | − | 1012.52i | −0.0180635 | − | 0.0415897i | ||||
\(841\) | −5109.21 | + | 11187.6i | −0.209488 | + | 0.458715i | ||||
\(842\) | −1245.40 | − | 8661.95i | −0.0509731 | − | 0.354526i | ||||
\(843\) | −15773.2 | + | 17531.4i | −0.644433 | + | 0.716269i | ||||
\(844\) | 11522.2 | + | 25230.1i | 0.469917 | + | 1.02898i | ||||
\(845\) | −7577.16 | + | 4869.54i | −0.308476 | + | 0.198245i | ||||
\(846\) | 1333.90 | + | 12597.9i | 0.0542085 | + | 0.511969i | ||||
\(847\) | 4577.33 | − | 7122.46i | 0.185689 | − | 0.288938i | ||||
\(848\) | −24201.2 | + | 27929.7i | −0.980038 | + | 1.13102i | ||||
\(849\) | 5368.85 | + | 874.439i | 0.217030 | + | 0.0353483i | ||||
\(850\) | − | 2576.01i | − | 0.103949i | ||||||
\(851\) | 16289.8 | + | 22756.2i | 0.656178 | + | 0.916654i | ||||
\(852\) | −31178.4 | + | 3890.64i | −1.25370 | + | 0.156445i | ||||
\(853\) | −7792.56 | − | 2288.10i | −0.312793 | − | 0.0918442i | 0.121568 | − | 0.992583i | \(-0.461208\pi\) |
−0.434361 | + | 0.900739i | \(0.643026\pi\) | |||||||
\(854\) | −10092.6 | − | 8745.26i | −0.404403 | − | 0.350418i | ||||
\(855\) | −1856.85 | + | 5549.09i | −0.0742723 | + | 0.221959i | ||||
\(856\) | −5696.03 | − | 818.965i | −0.227437 | − | 0.0327005i | ||||
\(857\) | 17096.6 | + | 26602.8i | 0.681455 | + | 1.06036i | 0.993885 | + | 0.110424i | \(0.0352209\pi\) |
−0.312429 | + | 0.949941i | \(0.601143\pi\) | |||||||
\(858\) | 1698.17 | + | 2754.05i | 0.0675695 | + | 0.109582i | ||||
\(859\) | −19906.7 | − | 22973.5i | −0.790696 | − | 0.912511i | 0.207137 | − | 0.978312i | \(-0.433585\pi\) |
−0.997833 | + | 0.0658005i | \(0.979040\pi\) | |||||||
\(860\) | 17909.1 | − | 2574.94i | 0.710110 | − | 0.102098i | ||||
\(861\) | 11457.2 | + | 3597.61i | 0.453496 | + | 0.142400i | ||||
\(862\) | −8820.76 | − | 30040.8i | −0.348534 | − | 1.18700i | ||||
\(863\) | 5380.31 | + | 18323.7i | 0.212222 | + | 0.722763i | 0.994948 | + | 0.100396i | \(0.0320109\pi\) |
−0.782725 | + | 0.622368i | \(0.786171\pi\) | |||||||
\(864\) | −2031.42 | + | 36259.8i | −0.0799888 | + | 1.42776i | ||||
\(865\) | 18399.0 | − | 2645.38i | 0.723220 | − | 0.103983i | ||||
\(866\) | 14472.6 | + | 16702.3i | 0.567899 | + | 0.655390i | ||||
\(867\) | −21536.1 | + | 13279.4i | −0.843602 | + | 0.520174i | ||||
\(868\) | −2083.11 | − | 3241.38i | −0.0814577 | − | 0.126751i | ||||
\(869\) | −4130.10 | − | 593.819i | −0.161225 | − | 0.0231806i | ||||
\(870\) | 10093.1 | − | 21052.4i | 0.393320 | − | 0.820396i | ||||
\(871\) | −12219.5 | − | 10588.3i | −0.475365 | − | 0.411906i | ||||
\(872\) | −2339.34 | − | 686.893i | −0.0908488 | − | 0.0266756i | ||||
\(873\) | 11922.2 | + | 47026.6i | 0.462205 | + | 1.82315i | ||||
\(874\) | −6543.42 | + | 16462.9i | −0.253243 | + | 0.637145i | ||||
\(875\) | − | 8040.20i | − | 0.310638i | ||||||
\(876\) | 1835.08 | − | 11267.0i | 0.0707781 | − | 0.434561i | ||||
\(877\) | −19407.4 | + | 22397.3i | −0.747253 | + | 0.862376i | −0.994299 | − | 0.106628i | \(-0.965995\pi\) |
0.247046 | + | 0.969004i | \(0.420540\pi\) | |||||||
\(878\) | 25516.3 | − | 39704.1i | 0.980790 | − | 1.52614i | ||||
\(879\) | −41857.2 | − | 780.944i | −1.60615 | − | 0.0299665i | ||||
\(880\) | 1476.98 | − | 949.196i | 0.0565783 | − | 0.0363607i | ||||
\(881\) | −13992.3 | − | 30638.9i | −0.535089 | − | 1.17168i | −0.963404 | − | 0.268052i | \(-0.913620\pi\) |
0.428316 | − | 0.903629i | \(-0.359107\pi\) | |||||||
\(882\) | 19316.1 | − | 27725.0i | 0.737422 | − | 1.05845i | ||||
\(883\) | −4772.76 | − | 33195.3i | −0.181898 | − | 1.26513i | −0.852269 | − | 0.523104i | \(-0.824774\pi\) |
0.670370 | − | 0.742027i | \(-0.266135\pi\) | |||||||
\(884\) | 629.932 | − | 1379.36i | 0.0239671 | − | 0.0524806i | ||||
\(885\) | −11751.4 | + | 5103.95i | −0.446350 | + | 0.193862i | ||||
\(886\) | −2724.54 | + | 799.998i | −0.103310 | + | 0.0303346i | ||||
\(887\) | 11406.3 | + | 5209.08i | 0.431777 | + | 0.197186i | 0.619434 | − | 0.785049i | \(-0.287362\pi\) |
−0.187657 | + | 0.982235i | \(0.560089\pi\) | |||||||
\(888\) | 7336.56 | − | 2006.34i | 0.277251 | − | 0.0758201i | ||||
\(889\) | 7872.27 | − | 6821.36i | 0.296994 | − | 0.257346i | ||||
\(890\) | 7904.17 | − | 3609.71i | 0.297695 | − | 0.135953i | ||||
\(891\) | −2149.68 | + | 3906.88i | −0.0808273 | + | 0.146897i | ||||
\(892\) | 2937.02 | − | 20427.4i | 0.110245 | − | 0.766772i | ||||
\(893\) | −3646.73 | − | 2343.61i | −0.136655 | − | 0.0878231i | ||||
\(894\) | −7776.11 | + | 11617.5i | −0.290908 | + | 0.434617i | ||||
\(895\) | −2696.96 | + | 9185.01i | −0.100726 | + | 0.343040i | ||||
\(896\) | 4761.02 | 0.177516 | ||||||||
\(897\) | 12004.1 | + | 7191.91i | 0.446827 | + | 0.267704i | ||||
\(898\) | 25445.4 | 0.945573 | ||||||||
\(899\) | 3385.46 | − | 11529.8i | 0.125597 | − | 0.427743i | ||||
\(900\) | 10620.3 | − | 21131.6i | 0.393346 | − | 0.782653i | ||||
\(901\) | 4033.60 | + | 2592.24i | 0.149144 | + | 0.0958491i | ||||
\(902\) | 1281.63 | − | 8913.94i | 0.0473100 | − | 0.329048i | ||||
\(903\) | −7466.87 | − | 8949.23i | −0.275174 | − | 0.329803i | ||||
\(904\) | 956.407 | − | 436.777i | 0.0351876 | − | 0.0160697i | ||||
\(905\) | −17253.6 | + | 14950.3i | −0.633733 | + | 0.549132i | ||||
\(906\) | 9915.18 | + | 36256.8i | 0.363587 | + | 1.32953i | ||||
\(907\) | 41082.9 | + | 18761.9i | 1.50401 | + | 0.686857i | 0.985727 | − | 0.168353i | \(-0.0538450\pi\) |
0.518281 | + | 0.855211i | \(0.326572\pi\) | |||||||
\(908\) | −29890.7 | + | 8776.70i | −1.09246 | + | 0.320777i | ||||
\(909\) | −12498.7 | − | 21142.9i | −0.456056 | − | 0.771470i | ||||
\(910\) | 1557.15 | − | 3409.69i | 0.0567243 | − | 0.124209i | ||||
\(911\) | 197.058 | + | 1370.57i | 0.00716665 | + | 0.0498451i | 0.993091 | − | 0.117347i | \(-0.0374390\pi\) |
−0.985924 | + | 0.167192i | \(0.946530\pi\) | |||||||
\(912\) | −7591.00 | − | 6829.68i | −0.275617 | − | 0.247975i | ||||
\(913\) | −1367.23 | − | 2993.81i | −0.0495604 | − | 0.108522i | ||||
\(914\) | 26670.0 | − | 17139.8i | 0.965169 | − | 0.620276i | ||||
\(915\) | −266.877 | + | 14304.2i | −0.00964229 | + | 0.516809i | ||||
\(916\) | 2997.36 | − | 4663.98i | 0.108117 | − | 0.168234i | ||||
\(917\) | 7163.66 | − | 8267.30i | 0.257977 | − | 0.297721i | ||||
\(918\) | 3857.07 | − | 335.769i | 0.138673 | − | 0.0120719i | ||||
\(919\) | − | 16113.1i | − | 0.578369i | −0.957273 | − | 0.289185i | \(-0.906616\pi\) | ||
0.957273 | − | 0.289185i | \(-0.0933841\pi\) | |||||||
\(920\) | −1782.50 | + | 3105.14i | −0.0638776 | + | 0.111276i | ||||
\(921\) | 5159.84 | + | 41349.4i | 0.184606 | + | 1.47938i | ||||
\(922\) | −27470.2 | − | 8065.99i | −0.981219 | − | 0.288112i | ||||
\(923\) | −11890.1 | − | 10302.8i | −0.424017 | − | 0.367413i | ||||
\(924\) | 1760.25 | + | 843.912i | 0.0626710 | + | 0.0300462i | ||||
\(925\) | 23442.2 | + | 3370.48i | 0.833271 | + | 0.119806i | ||||
\(926\) | −965.550 | − | 1502.43i | −0.0342656 | − | 0.0533183i | ||||
\(927\) | 31599.0 | − | 25380.3i | 1.11958 | − | 0.899242i | ||||
\(928\) | 32469.2 | + | 37471.4i | 1.14855 | + | 1.32550i | ||||
\(929\) | 37610.2 | − | 5407.53i | 1.32826 | − | 0.190974i | 0.558602 | − | 0.829436i | \(-0.311338\pi\) |
0.769654 | + | 0.638461i | \(0.220429\pi\) | |||||||
\(930\) | −2290.87 | + | 7295.66i | −0.0807747 | + | 0.257241i | ||||
\(931\) | 3257.52 | + | 11094.1i | 0.114673 | + | 0.390541i | ||||
\(932\) | −6768.51 | − | 23051.4i | −0.237886 | − | 0.810166i | ||||
\(933\) | −3795.61 | + | 12087.8i | −0.133186 | + | 0.424155i | ||||
\(934\) | 13266.3 | − | 1907.40i | 0.464760 | − | 0.0668224i | ||||
\(935\) | −149.168 | − | 172.149i | −0.00521743 | − | 0.00602124i | ||||
\(936\) | 2965.15 | − | 2381.60i | 0.103546 | − | 0.0831679i | ||||
\(937\) | 12203.4 | + | 18988.8i | 0.425472 | + | 0.662047i | 0.986125 | − | 0.166004i | \(-0.0530864\pi\) |
−0.560654 | + | 0.828051i | \(0.689450\pi\) | |||||||
\(938\) | −17887.8 | − | 2571.88i | −0.622663 | − | 0.0895255i | ||||
\(939\) | −44664.7 | − | 21413.4i | −1.55226 | − | 0.744197i | ||||
\(940\) | −4490.05 | − | 3890.65i | −0.155797 | − | 0.134999i | ||||
\(941\) | −51988.7 | − | 15265.3i | −1.80105 | − | 0.528835i | −0.803278 | − | 0.595605i | \(-0.796912\pi\) |
−0.997768 | + | 0.0667700i | \(0.978731\pi\) | |||||||
\(942\) | −7833.41 | − | 62774.6i | −0.270941 | − | 2.17124i | ||||
\(943\) | −12830.3 | − | 36775.4i | −0.443066 | − | 1.26996i | ||||
\(944\) | − | 22357.4i | − | 0.770839i | ||||||
\(945\) | 5146.68 | − | 448.035i | 0.177166 | − | 0.0154228i | ||||
\(946\) | −5723.77 | + | 6605.58i | −0.196719 | + | 0.227025i | ||||
\(947\) | −28813.5 | + | 44834.7i | −0.988715 | + | 1.53847i | −0.153792 | + | 0.988103i | \(0.549148\pi\) |
−0.834923 | + | 0.550367i | \(0.814488\pi\) | |||||||
\(948\) | −620.443 | + | 33254.7i | −0.0212564 | + | 1.13931i | ||||
\(949\) | 4808.59 | − | 3090.29i | 0.164482 | − | 0.105706i | ||||
\(950\) | 6227.92 | + | 13637.2i | 0.212695 | + | 0.465738i | ||||
\(951\) | −17474.1 | − | 15721.6i | −0.595833 | − | 0.536076i | ||||
\(952\) | −35.5684 | − | 247.384i | −0.00121090 | − | 0.00842201i | ||||
\(953\) | 15486.8 | − | 33911.5i | 0.526410 | − | 1.15268i | −0.440546 | − | 0.897730i | \(-0.645215\pi\) |
0.966955 | − | 0.254946i | \(-0.0820577\pi\) | |||||||
\(954\) | 41499.4 | + | 70200.9i | 1.40838 | + | 2.38243i | ||||
\(955\) | 8418.39 | − | 2471.86i | 0.285249 | − | 0.0837566i | ||||
\(956\) | −34741.4 | − | 15865.9i | −1.17533 | − | 0.536756i | ||||
\(957\) | 1605.94 | + | 5872.42i | 0.0542451 | + | 0.198358i | ||||
\(958\) | 58001.5 | − | 50258.6i | 1.95610 | − | 1.69497i | ||||
\(959\) | −13507.2 | + | 6168.55i | −0.454819 | + | 0.207709i | ||||
\(960\) | −12570.0 | − | 15065.5i | −0.422599 | − | 0.506495i | ||||
\(961\) | 3679.57 | − | 25592.0i | 0.123513 | − | 0.859052i | ||||
\(962\) | 21727.0 | + | 13963.1i | 0.728177 | + | 0.467971i | ||||
\(963\) | 12093.5 | − | 24062.9i | 0.404682 | − | 0.805209i | ||||
\(964\) | 1149.85 | − | 3916.04i | 0.0384173 | − | 0.130837i | ||||
\(965\) | 1096.44 | 0.0365757 | ||||||||
\(966\) | 15632.9 | − | 491.418i | 0.520684 | − | 0.0163676i | ||||
\(967\) | 36860.2 | 1.22579 | 0.612897 | − | 0.790163i | \(-0.290004\pi\) | ||||
0.612897 | + | 0.790163i | \(0.290004\pi\) | |||||||
\(968\) | −2102.61 | + | 7160.82i | −0.0698144 | + | 0.237766i | ||||
\(969\) | −736.911 | + | 1100.95i | −0.0244303 | + | 0.0364989i | ||||
\(970\) | −35458.3 | − | 22787.6i | −1.17371 | − | 0.754296i | ||||
\(971\) | 5440.44 | − | 37839.1i | 0.179806 | − | 1.25058i | −0.677403 | − | 0.735612i | \(-0.736895\pi\) |
0.857209 | − | 0.514968i | \(-0.172196\pi\) | |||||||
\(972\) | 33024.7 | + | 13147.4i | 1.08978 | + | 0.433852i | ||||
\(973\) | 6554.21 | − | 2993.21i | 0.215949 | − | 0.0986205i | ||||
\(974\) | −17935.6 | + | 15541.3i | −0.590036 | + | 0.511269i | ||||
\(975\) | 11422.8 | − | 3123.81i | 0.375204 | − | 0.102607i | ||||
\(976\) | −22709.6 | − | 10371.1i | −0.744792 | − | 0.340135i | ||||
\(977\) | 19251.4 | − | 5652.72i | 0.630406 | − | 0.185104i | 0.0491062 | − | 0.998794i | \(-0.484363\pi\) |
0.581299 | + | 0.813690i | \(0.302545\pi\) | |||||||
\(978\) | 17043.9 | − | 7402.64i | 0.557265 | − | 0.242035i | ||||
\(979\) | −941.288 | + | 2061.13i | −0.0307290 | + | 0.0672871i | ||||
\(980\) | 2255.26 | + | 15685.7i | 0.0735118 | + | 0.511286i | ||||
\(981\) | 6522.52 | − | 9361.99i | 0.212281 | − | 0.304695i | ||||
\(982\) | −7436.13 | − | 16282.9i | −0.241646 | − | 0.529131i | ||||
\(983\) | 14485.6 | − | 9309.31i | 0.470008 | − | 0.302056i | −0.284114 | − | 0.958791i | \(-0.591699\pi\) |
0.754122 | + | 0.656735i | \(0.228063\pi\) | |||||||
\(984\) | −10583.8 | − | 197.465i | −0.342884 | − | 0.00639731i | ||||
\(985\) | −6425.47 | + | 9998.23i | −0.207850 | + | 0.323422i | ||||
\(986\) | 3461.48 | − | 3994.76i | 0.111801 | − | 0.129026i | ||||
\(987\) | −615.230 | + | 3777.37i | −0.0198409 | + | 0.121819i | ||||
\(988\) | 8825.20i | 0.284177i | ||||||||
\(989\) | −8821.13 | + | 36758.8i | −0.283615 | + | 1.18186i | ||||
\(990\) | −952.068 | − | 3755.39i | −0.0305643 | − | 0.120560i | ||||
\(991\) | −16873.6 | − | 4954.53i | −0.540875 | − | 0.158815i | −0.000127189 | − | 1.00000i | \(-0.500040\pi\) |
−0.540748 | + | 0.841185i | \(0.681859\pi\) | |||||||
\(992\) | −12273.1 | − | 10634.7i | −0.392815 | − | 0.340376i | ||||
\(993\) | 1343.77 | − | 2802.87i | 0.0429439 | − | 0.0895733i | ||||
\(994\) | −17405.6 | − | 2502.55i | −0.555405 | − | 0.0798551i | ||||
\(995\) | 7317.56 | + | 11386.3i | 0.233148 | + | 0.362785i | ||||
\(996\) | −22331.1 | + | 13769.6i | −0.710431 | + | 0.438059i | ||||
\(997\) | 17820.7 | + | 20566.2i | 0.566086 | + | 0.653298i | 0.964554 | − | 0.263884i | \(-0.0850037\pi\) |
−0.398469 | + | 0.917182i | \(0.630458\pi\) | |||||||
\(998\) | −66274.6 | + | 9528.85i | −2.10209 | + | 0.302235i | ||||
\(999\) | −1991.06 | + | 35539.4i | −0.0630574 | + | 1.12554i |
(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 | 69.4.g.a.5.4 | ✓ | 220 | |
3.2 | odd | 2 | inner | 69.4.g.a.5.19 | yes | 220 | |
23.14 | odd | 22 | inner | 69.4.g.a.14.19 | yes | 220 | |
69.14 | even | 22 | inner | 69.4.g.a.14.4 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.g.a.5.4 | ✓ | 220 | 1.1 | even | 1 | trivial | |
69.4.g.a.5.19 | yes | 220 | 3.2 | odd | 2 | inner | |
69.4.g.a.14.4 | yes | 220 | 69.14 | even | 22 | inner | |
69.4.g.a.14.19 | yes | 220 | 23.14 | odd | 22 | inner |