Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [242,2,Mod(5,242)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(242, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([74]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("242.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 242 = 2 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 242.g (of order \(55\), degree \(40\), 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: | \(1.93237972891\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 242.25 |
Dual form | 242.2.g.a.213.2 |
$q$-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 \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).
\(n\) | \(123\) |
\(\chi(n)\) | \(e\left(\frac{19}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.466667 | + | 0.884433i | 0.329984 | + | 0.625389i | ||||
\(3\) | −0.632586 | − | 1.94690i | −0.365224 | − | 1.12404i | −0.949841 | − | 0.312734i | \(-0.898755\pi\) |
0.584617 | − | 0.811309i | \(-0.301245\pi\) | |||||||
\(4\) | −0.564443 | + | 0.825472i | −0.282222 | + | 0.412736i | ||||
\(5\) | 0.184594 | − | 0.911006i | 0.0825528 | − | 0.407414i | −0.917403 | − | 0.397961i | \(-0.869718\pi\) |
0.999955 | − | 0.00945356i | \(-0.00300921\pi\) | |||||||
\(6\) | 1.42669 | − | 1.46803i | 0.582446 | − | 0.599323i | ||||
\(7\) | −0.597482 | − | 2.27306i | −0.225827 | − | 0.859135i | −0.979427 | − | 0.201801i | \(-0.935321\pi\) |
0.753600 | − | 0.657334i | \(-0.228316\pi\) | |||||||
\(8\) | −0.993482 | − | 0.113991i | −0.351249 | − | 0.0403020i | ||||
\(9\) | −0.963202 | + | 0.699807i | −0.321067 | + | 0.233269i | ||||
\(10\) | 0.891867 | − | 0.261876i | 0.282033 | − | 0.0828124i | ||||
\(11\) | −1.46495 | − | 2.97555i | −0.441700 | − | 0.897163i | ||||
\(12\) | 1.96417 | + | 0.576732i | 0.567007 | + | 0.166488i | ||||
\(13\) | −1.21639 | + | 0.434006i | −0.337365 | + | 0.120372i | −0.499299 | − | 0.866430i | \(-0.666409\pi\) |
0.161933 | + | 0.986802i | \(0.448227\pi\) | |||||||
\(14\) | 1.73154 | − | 1.58919i | 0.462774 | − | 0.424730i | ||||
\(15\) | −1.89041 | + | 0.216904i | −0.488101 | + | 0.0560044i | ||||
\(16\) | −0.362808 | − | 0.931864i | −0.0907019 | − | 0.232966i | ||||
\(17\) | 3.49512 | − | 0.812755i | 0.847691 | − | 0.197122i | 0.219918 | − | 0.975518i | \(-0.429421\pi\) |
0.627773 | + | 0.778396i | \(0.283967\pi\) | |||||||
\(18\) | −1.06843 | − | 0.525310i | −0.251831 | − | 0.123817i | ||||
\(19\) | 1.29308 | − | 2.14434i | 0.296654 | − | 0.491945i | −0.671936 | − | 0.740609i | \(-0.734537\pi\) |
0.968590 | + | 0.248664i | \(0.0799916\pi\) | |||||||
\(20\) | 0.647817 | + | 0.666588i | 0.144856 | + | 0.149054i | ||||
\(21\) | −4.04746 | + | 2.60114i | −0.883227 | + | 0.567616i | ||||
\(22\) | 1.94803 | − | 2.68425i | 0.415321 | − | 0.572283i | ||||
\(23\) | 3.31288 | + | 2.12906i | 0.690783 | + | 0.443939i | 0.838364 | − | 0.545111i | \(-0.183512\pi\) |
−0.147581 | + | 0.989050i | \(0.547149\pi\) | |||||||
\(24\) | 0.406533 | + | 2.00632i | 0.0829832 | + | 0.409538i | ||||
\(25\) | 3.80976 | + | 1.61002i | 0.761952 | + | 0.322004i | ||||
\(26\) | −0.951498 | − | 0.873277i | −0.186604 | − | 0.171264i | ||||
\(27\) | −2.99663 | − | 2.17718i | −0.576702 | − | 0.418999i | ||||
\(28\) | 2.21359 | + | 0.789807i | 0.418329 | + | 0.149260i | ||||
\(29\) | −1.43922 | + | 0.608220i | −0.267257 | + | 0.112944i | −0.518780 | − | 0.854907i | \(-0.673614\pi\) |
0.251524 | + | 0.967851i | \(0.419068\pi\) | |||||||
\(30\) | −1.07403 | − | 1.57072i | −0.196090 | − | 0.286772i | ||||
\(31\) | −0.506527 | + | 0.656876i | −0.0909749 | + | 0.117978i | −0.835190 | − | 0.549962i | \(-0.814642\pi\) |
0.744215 | + | 0.667941i | \(0.232824\pi\) | |||||||
\(32\) | 0.654861 | − | 0.755750i | 0.115764 | − | 0.133599i | ||||
\(33\) | −4.86639 | + | 4.73441i | −0.847130 | + | 0.824155i | ||||
\(34\) | 2.34989 | + | 2.71191i | 0.403002 | + | 0.465089i | ||||
\(35\) | −2.18106 | + | 0.124718i | −0.368666 | + | 0.0210811i | ||||
\(36\) | −0.0339984 | − | 1.19010i | −0.00566639 | − | 0.198350i | ||||
\(37\) | −0.222130 | + | 7.77556i | −0.0365179 | + | 1.27829i | 0.750295 | + | 0.661103i | \(0.229911\pi\) |
−0.786813 | + | 0.617191i | \(0.788271\pi\) | |||||||
\(38\) | 2.49996 | + | 0.142953i | 0.405548 | + | 0.0231900i | ||||
\(39\) | 1.61444 | + | 2.09364i | 0.258517 | + | 0.335251i | ||||
\(40\) | −0.287237 | + | 0.884026i | −0.0454162 | + | 0.139777i | ||||
\(41\) | −0.868339 | + | 0.150272i | −0.135612 | + | 0.0234685i | −0.237924 | − | 0.971284i | \(-0.576467\pi\) |
0.102312 | + | 0.994752i | \(0.467376\pi\) | |||||||
\(42\) | −4.18935 | − | 2.36584i | −0.646431 | − | 0.365056i | ||||
\(43\) | −3.80760 | + | 8.33749i | −0.580654 | + | 1.27145i | 0.360274 | + | 0.932847i | \(0.382683\pi\) |
−0.940928 | + | 0.338608i | \(0.890044\pi\) | |||||||
\(44\) | 3.28312 | + | 0.470252i | 0.494949 | + | 0.0708932i | ||||
\(45\) | 0.459727 | + | 1.00666i | 0.0685321 | + | 0.150064i | ||||
\(46\) | −0.336997 | + | 3.92358i | −0.0496875 | + | 0.578501i | ||||
\(47\) | 5.75423 | − | 2.82917i | 0.839341 | − | 0.412676i | 0.0296696 | − | 0.999560i | \(-0.490554\pi\) |
0.809671 | + | 0.586884i | \(0.199645\pi\) | |||||||
\(48\) | −1.58474 | + | 1.29583i | −0.228737 | + | 0.187038i | ||||
\(49\) | 1.28542 | − | 0.725908i | 0.183631 | − | 0.103701i | ||||
\(50\) | 0.353938 | + | 4.12082i | 0.0500543 | + | 0.582772i | ||||
\(51\) | −3.79332 | − | 6.29051i | −0.531171 | − | 0.880847i | ||||
\(52\) | 0.328322 | − | 1.24907i | 0.0455301 | − | 0.173214i | ||||
\(53\) | −1.95404 | + | 5.01892i | −0.268408 | + | 0.689401i | 0.731563 | + | 0.681774i | \(0.238791\pi\) |
−0.999971 | + | 0.00762691i | \(0.997572\pi\) | |||||||
\(54\) | 0.527140 | − | 3.66634i | 0.0717347 | − | 0.498926i | ||||
\(55\) | −2.98117 | + | 0.785313i | −0.401980 | + | 0.105892i | ||||
\(56\) | 0.334478 | + | 2.32635i | 0.0446966 | + | 0.310871i | ||||
\(57\) | −4.99280 | − | 1.16103i | −0.661312 | − | 0.153782i | ||||
\(58\) | −1.20957 | − | 0.989059i | −0.158824 | − | 0.129870i | ||||
\(59\) | 13.2186 | + | 2.28758i | 1.72092 | + | 0.297817i | 0.943551 | − | 0.331226i | \(-0.107462\pi\) |
0.777370 | + | 0.629044i | \(0.216553\pi\) | |||||||
\(60\) | 0.887980 | − | 1.68291i | 0.114638 | − | 0.217263i | ||||
\(61\) | −0.524228 | + | 0.993523i | −0.0671205 | + | 0.127208i | −0.915703 | − | 0.401855i | \(-0.868365\pi\) |
0.848583 | + | 0.529063i | \(0.177456\pi\) | |||||||
\(62\) | −0.817342 | − | 0.141447i | −0.103803 | − | 0.0179637i | ||||
\(63\) | 2.16620 | + | 1.77129i | 0.272915 | + | 0.223162i | ||||
\(64\) | 0.974012 | + | 0.226497i | 0.121751 | + | 0.0283121i | ||||
\(65\) | 0.170845 | + | 1.18825i | 0.0211907 | + | 0.147384i | ||||
\(66\) | −6.45825 | − | 2.09460i | −0.794956 | − | 0.257828i | ||||
\(67\) | −0.141847 | + | 0.986566i | −0.0173293 | + | 0.120528i | −0.996650 | − | 0.0817867i | \(-0.973937\pi\) |
0.979321 | + | 0.202315i | \(0.0648465\pi\) | |||||||
\(68\) | −1.30189 | + | 3.34388i | −0.157877 | + | 0.405505i | ||||
\(69\) | 2.04938 | − | 7.79666i | 0.246717 | − | 0.938607i | ||||
\(70\) | −1.12813 | − | 1.87080i | −0.134838 | − | 0.223603i | ||||
\(71\) | −1.32816 | − | 15.4635i | −0.157623 | − | 1.83518i | −0.467025 | − | 0.884244i | \(-0.654674\pi\) |
0.309401 | − | 0.950932i | \(-0.399871\pi\) | |||||||
\(72\) | 1.03670 | − | 0.585449i | 0.122176 | − | 0.0689958i | ||||
\(73\) | −1.46203 | + | 1.19550i | −0.171118 | + | 0.139922i | −0.714693 | − | 0.699438i | \(-0.753434\pi\) |
0.543576 | + | 0.839360i | \(0.317070\pi\) | |||||||
\(74\) | −6.98062 | + | 3.43214i | −0.811481 | + | 0.398978i | ||||
\(75\) | 0.724543 | − | 8.43570i | 0.0836630 | − | 0.974071i | ||||
\(76\) | 1.04022 | + | 2.27776i | 0.119321 | + | 0.261277i | ||||
\(77\) | −5.88832 | + | 5.10776i | −0.671036 | + | 0.582084i | ||||
\(78\) | −1.09828 | + | 2.40489i | −0.124356 | + | 0.272301i | ||||
\(79\) | −3.36219 | − | 1.89871i | −0.378276 | − | 0.213622i | 0.290854 | − | 0.956767i | \(-0.406060\pi\) |
−0.669130 | + | 0.743145i | \(0.733333\pi\) | |||||||
\(80\) | −0.915906 | + | 0.158504i | −0.102401 | + | 0.0177213i | ||||
\(81\) | −3.44686 | + | 10.6083i | −0.382984 | + | 1.17870i | ||||
\(82\) | −0.538131 | − | 0.697861i | −0.0594266 | − | 0.0770658i | ||||
\(83\) | −8.36019 | − | 0.478053i | −0.917650 | − | 0.0524731i | −0.408122 | − | 0.912927i | \(-0.633816\pi\) |
−0.509528 | + | 0.860454i | \(0.670180\pi\) | |||||||
\(84\) | 0.137389 | − | 4.80926i | 0.0149904 | − | 0.524733i | ||||
\(85\) | −0.0952477 | − | 3.33410i | −0.0103311 | − | 0.361634i | ||||
\(86\) | −9.15083 | + | 0.523263i | −0.986759 | + | 0.0564249i | ||||
\(87\) | 2.09458 | + | 2.41727i | 0.224562 | + | 0.259158i | ||||
\(88\) | 1.11622 | + | 3.12315i | 0.118989 | + | 0.332929i | ||||
\(89\) | 7.99400 | − | 9.22556i | 0.847362 | − | 0.977908i | −0.152584 | − | 0.988290i | \(-0.548760\pi\) |
0.999946 | + | 0.0103827i | \(0.00330499\pi\) | |||||||
\(90\) | −0.675786 | + | 0.876375i | −0.0712341 | + | 0.0923780i | ||||
\(91\) | 1.71329 | + | 2.50561i | 0.179602 | + | 0.262659i | ||||
\(92\) | −3.62741 | + | 1.53296i | −0.378184 | + | 0.159822i | ||||
\(93\) | 1.59929 | + | 0.570627i | 0.165839 | + | 0.0591712i | ||||
\(94\) | 5.18752 | + | 3.76895i | 0.535052 | + | 0.388738i | ||||
\(95\) | −1.71481 | − | 1.57384i | −0.175936 | − | 0.161472i | ||||
\(96\) | −1.88562 | − | 0.796871i | −0.192451 | − | 0.0813304i | ||||
\(97\) | −0.381656 | − | 1.88355i | −0.0387513 | − | 0.191245i | 0.956031 | − | 0.293266i | \(-0.0947420\pi\) |
−0.994782 | + | 0.102020i | \(0.967469\pi\) | |||||||
\(98\) | 1.24188 | + | 0.798107i | 0.125449 | + | 0.0806210i | ||||
\(99\) | 3.49336 | + | 1.84087i | 0.351096 | + | 0.185015i | ||||
\(100\) | −3.47942 | + | 2.23609i | −0.347942 | + | 0.223609i | ||||
\(101\) | −3.49995 | − | 3.60136i | −0.348258 | − | 0.358349i | 0.520259 | − | 0.854009i | \(-0.325835\pi\) |
−0.868517 | + | 0.495660i | \(0.834926\pi\) | |||||||
\(102\) | 3.79332 | − | 6.29051i | 0.375594 | − | 0.622853i | ||||
\(103\) | 10.5620 | + | 5.19300i | 1.04071 | + | 0.511681i | 0.879828 | − | 0.475293i | \(-0.157658\pi\) |
0.160879 | + | 0.986974i | \(0.448567\pi\) | |||||||
\(104\) | 1.25793 | − | 0.292520i | 0.123350 | − | 0.0286839i | ||||
\(105\) | 1.62252 | + | 4.16741i | 0.158342 | + | 0.406698i | ||||
\(106\) | −5.35078 | + | 0.613945i | −0.519714 | + | 0.0596316i | ||||
\(107\) | 6.29033 | − | 5.77322i | 0.608109 | − | 0.558118i | −0.311850 | − | 0.950131i | \(-0.600949\pi\) |
0.919959 | + | 0.392014i | \(0.128221\pi\) | |||||||
\(108\) | 3.48863 | − | 1.24474i | 0.335694 | − | 0.119775i | ||||
\(109\) | 9.34079 | + | 2.74270i | 0.894685 | + | 0.262703i | 0.696581 | − | 0.717478i | \(-0.254703\pi\) |
0.198104 | + | 0.980181i | \(0.436522\pi\) | |||||||
\(110\) | −2.08577 | − | 2.27016i | −0.198870 | − | 0.216451i | ||||
\(111\) | 15.2787 | − | 4.48624i | 1.45019 | − | 0.425815i | ||||
\(112\) | −1.90141 | + | 1.38145i | −0.179666 | + | 0.130535i | ||||
\(113\) | 13.6622 | + | 1.56759i | 1.28523 | + | 0.147466i | 0.729549 | − | 0.683929i | \(-0.239730\pi\) |
0.555682 | + | 0.831395i | \(0.312457\pi\) | |||||||
\(114\) | −1.30313 | − | 4.95761i | −0.122049 | − | 0.464322i | ||||
\(115\) | 2.55112 | − | 2.62504i | 0.237893 | − | 0.244786i | ||||
\(116\) | 0.310290 | − | 1.53134i | 0.0288097 | − | 0.142182i | ||||
\(117\) | 0.867907 | − | 1.26927i | 0.0802380 | − | 0.117344i | ||||
\(118\) | 4.14550 | + | 12.7585i | 0.381624 | + | 1.17452i | ||||
\(119\) | −3.93571 | − | 7.45900i | −0.360786 | − | 0.683766i | ||||
\(120\) | 1.90281 | 0.173702 | ||||||||
\(121\) | −6.70782 | + | 8.71809i | −0.609802 | + | 0.792554i | ||||
\(122\) | −1.12334 | −0.101703 | ||||||||
\(123\) | 0.841864 | + | 1.59551i | 0.0759083 | + | 0.143862i | ||||
\(124\) | −0.256327 | − | 0.788893i | −0.0230188 | − | 0.0708447i | ||||
\(125\) | 4.79330 | − | 7.00998i | 0.428726 | − | 0.626991i | ||||
\(126\) | −0.555695 | + | 2.74246i | −0.0495052 | + | 0.244318i | ||||
\(127\) | −3.06311 | + | 3.15186i | −0.271807 | + | 0.279682i | −0.839268 | − | 0.543717i | \(-0.817016\pi\) |
0.567462 | + | 0.823400i | \(0.307925\pi\) | |||||||
\(128\) | 0.254218 | + | 0.967147i | 0.0224699 | + | 0.0854845i | ||||
\(129\) | 18.6409 | + | 2.13884i | 1.64124 | + | 0.188315i | ||||
\(130\) | −0.971201 | + | 0.705619i | −0.0851800 | + | 0.0618869i | ||||
\(131\) | 10.0663 | − | 2.95572i | 0.879494 | − | 0.258243i | 0.189346 | − | 0.981910i | \(-0.439363\pi\) |
0.690149 | + | 0.723668i | \(0.257545\pi\) | |||||||
\(132\) | −1.16132 | − | 6.68938i | −0.101080 | − | 0.582235i | ||||
\(133\) | −5.64680 | − | 1.65805i | −0.489639 | − | 0.143771i | ||||
\(134\) | −0.938747 | + | 0.334944i | −0.0810954 | + | 0.0289348i | ||||
\(135\) | −2.53658 | + | 2.32806i | −0.218314 | + | 0.200367i | ||||
\(136\) | −3.56498 | + | 0.409044i | −0.305695 | + | 0.0350752i | ||||
\(137\) | −4.40071 | − | 11.3031i | −0.375978 | − | 0.965692i | −0.985002 | − | 0.172541i | \(-0.944802\pi\) |
0.609024 | − | 0.793152i | \(-0.291561\pi\) | |||||||
\(138\) | 7.85200 | − | 1.82590i | 0.668407 | − | 0.155431i | ||||
\(139\) | −5.34359 | − | 2.62727i | −0.453238 | − | 0.222842i | 0.200302 | − | 0.979734i | \(-0.435808\pi\) |
−0.653540 | + | 0.756892i | \(0.726717\pi\) | |||||||
\(140\) | 1.12813 | − | 1.87080i | 0.0953447 | − | 0.158111i | ||||
\(141\) | −9.14815 | − | 9.41322i | −0.770413 | − | 0.792736i | ||||
\(142\) | 13.0566 | − | 8.39096i | 1.09568 | − | 0.704154i | ||||
\(143\) | 3.07336 | + | 2.98363i | 0.257007 | + | 0.249503i | ||||
\(144\) | 1.00158 | + | 0.643678i | 0.0834652 | + | 0.0536398i | ||||
\(145\) | 0.288421 | + | 1.42341i | 0.0239520 | + | 0.118208i | ||||
\(146\) | −1.73962 | − | 0.735168i | −0.143972 | − | 0.0608429i | ||||
\(147\) | −2.22641 | − | 2.04338i | −0.183631 | − | 0.168535i | ||||
\(148\) | −6.29312 | − | 4.57222i | −0.517292 | − | 0.375834i | ||||
\(149\) | −18.1278 | − | 6.46798i | −1.48509 | − | 0.529878i | −0.535815 | − | 0.844335i | \(-0.679996\pi\) |
−0.949272 | + | 0.314457i | \(0.898177\pi\) | |||||||
\(150\) | 7.79893 | − | 3.29586i | 0.636780 | − | 0.269105i | ||||
\(151\) | 10.3505 | + | 15.1371i | 0.842308 | + | 1.23184i | 0.970744 | + | 0.240118i | \(0.0771861\pi\) |
−0.128436 | + | 0.991718i | \(0.540996\pi\) | |||||||
\(152\) | −1.52909 | + | 1.98296i | −0.124026 | + | 0.160839i | ||||
\(153\) | −2.79773 | + | 3.22876i | −0.226183 | + | 0.261030i | ||||
\(154\) | −7.26536 | − | 2.82420i | −0.585459 | − | 0.227580i | ||||
\(155\) | 0.504916 | + | 0.582704i | 0.0405558 | + | 0.0468039i | ||||
\(156\) | −2.63950 | + | 0.150932i | −0.211329 | + | 0.0120842i | ||||
\(157\) | 0.460017 | + | 16.1027i | 0.0367133 | + | 1.28513i | 0.784054 | + | 0.620693i | \(0.213149\pi\) |
−0.747340 | + | 0.664441i | \(0.768670\pi\) | |||||||
\(158\) | 0.110263 | − | 3.85970i | 0.00877203 | − | 0.307061i | ||||
\(159\) | 11.0074 | + | 0.629427i | 0.872946 | + | 0.0499168i | ||||
\(160\) | −0.567609 | − | 0.736089i | −0.0448734 | − | 0.0581929i | ||||
\(161\) | 2.86009 | − | 8.80244i | 0.225406 | − | 0.693730i | ||||
\(162\) | −10.9909 | + | 1.90205i | −0.863526 | + | 0.149439i | ||||
\(163\) | −13.8280 | − | 7.80902i | −1.08309 | − | 0.611650i | −0.156484 | − | 0.987681i | \(-0.550016\pi\) |
−0.926607 | + | 0.376031i | \(0.877289\pi\) | |||||||
\(164\) | 0.366083 | − | 0.801610i | 0.0285863 | − | 0.0625952i | ||||
\(165\) | 3.41477 | + | 5.30725i | 0.265840 | + | 0.413169i | ||||
\(166\) | −3.47862 | − | 7.61712i | −0.269993 | − | 0.591203i | ||||
\(167\) | −1.45756 | + | 16.9700i | −0.112789 | + | 1.31318i | 0.692982 | + | 0.720954i | \(0.256296\pi\) |
−0.805772 | + | 0.592226i | \(0.798249\pi\) | |||||||
\(168\) | 4.31758 | − | 2.12281i | 0.333109 | − | 0.163778i | ||||
\(169\) | −8.77260 | + | 7.17332i | −0.674816 | + | 0.551794i | ||||
\(170\) | 2.90434 | − | 1.64016i | 0.222753 | − | 0.125794i | ||||
\(171\) | 0.255123 | + | 2.97034i | 0.0195097 | + | 0.227148i | ||||
\(172\) | −4.73319 | − | 7.84911i | −0.360902 | − | 0.598489i | ||||
\(173\) | −2.34787 | + | 8.93221i | −0.178505 | + | 0.679103i | 0.816329 | + | 0.577587i | \(0.196006\pi\) |
−0.994834 | + | 0.101516i | \(0.967631\pi\) | |||||||
\(174\) | −1.16044 | + | 2.98057i | −0.0879729 | + | 0.225957i | ||||
\(175\) | 1.38340 | − | 9.62176i | 0.104575 | − | 0.727337i | ||||
\(176\) | −2.24131 | + | 2.44469i | −0.168945 | + | 0.184276i | ||||
\(177\) | −3.90825 | − | 27.1825i | −0.293762 | − | 2.04316i | ||||
\(178\) | 11.8899 | + | 2.76488i | 0.891188 | + | 0.207237i | ||||
\(179\) | −13.5080 | − | 11.0455i | −1.00964 | − | 0.825577i | −0.0249122 | − | 0.999690i | \(-0.507931\pi\) |
−0.984726 | + | 0.174113i | \(0.944294\pi\) | |||||||
\(180\) | −1.09046 | − | 0.188712i | −0.0812782 | − | 0.0140657i | ||||
\(181\) | −1.16848 | + | 2.21452i | −0.0868526 | + | 0.164604i | −0.924022 | − | 0.382340i | \(-0.875118\pi\) |
0.837169 | + | 0.546944i | \(0.184209\pi\) | |||||||
\(182\) | −1.41651 | + | 2.68458i | −0.104998 | + | 0.198994i | ||||
\(183\) | 2.26591 | + | 0.392131i | 0.167501 | + | 0.0289871i | ||||
\(184\) | −3.04859 | − | 2.49282i | −0.224745 | − | 0.183773i | ||||
\(185\) | 7.04257 | + | 1.63768i | 0.517780 | + | 0.120405i | ||||
\(186\) | 0.241657 | + | 1.68076i | 0.0177191 | + | 0.123239i | ||||
\(187\) | −7.53858 | − | 9.20926i | −0.551276 | − | 0.673448i | ||||
\(188\) | −0.912541 | + | 6.34686i | −0.0665539 | + | 0.462892i | ||||
\(189\) | −3.15842 | + | 8.11235i | −0.229742 | + | 0.590086i | ||||
\(190\) | 0.591708 | − | 2.25109i | 0.0429270 | − | 0.163311i | ||||
\(191\) | −2.53898 | − | 4.21043i | −0.183714 | − | 0.304656i | 0.750835 | − | 0.660490i | \(-0.229651\pi\) |
−0.934549 | + | 0.355834i | \(0.884197\pi\) | |||||||
\(192\) | −0.175180 | − | 2.03958i | −0.0126425 | − | 0.147194i | ||||
\(193\) | −14.1765 | + | 8.00582i | −1.02044 | + | 0.576272i | −0.908693 | − | 0.417465i | \(-0.862919\pi\) |
−0.111751 | + | 0.993736i | \(0.535646\pi\) | |||||||
\(194\) | 1.48776 | − | 1.21654i | 0.106815 | − | 0.0873424i | ||||
\(195\) | 2.20533 | − | 1.08429i | 0.157927 | − | 0.0776475i | ||||
\(196\) | −0.126328 | + | 1.47081i | −0.00902342 | + | 0.105058i | ||||
\(197\) | −6.53963 | − | 14.3198i | −0.465929 | − | 1.02024i | −0.986096 | − | 0.166178i | \(-0.946858\pi\) |
0.520167 | − | 0.854065i | \(-0.325870\pi\) | |||||||
\(198\) | 0.00210841 | + | 3.94872i | 0.000149838 | + | 0.280623i | ||||
\(199\) | −4.47649 | + | 9.80215i | −0.317330 | + | 0.694856i | −0.999334 | − | 0.0364926i | \(-0.988381\pi\) |
0.682004 | + | 0.731349i | \(0.261109\pi\) | |||||||
\(200\) | −3.60140 | − | 2.03380i | −0.254657 | − | 0.143812i | ||||
\(201\) | 2.01048 | − | 0.347927i | 0.141808 | − | 0.0245408i | ||||
\(202\) | 1.55185 | − | 4.77611i | 0.109188 | − | 0.336046i | ||||
\(203\) | 2.24243 | + | 2.90803i | 0.157388 | + | 0.204104i | ||||
\(204\) | 7.33375 | + | 0.419359i | 0.513465 | + | 0.0293610i | ||||
\(205\) | −0.0233913 | + | 0.818801i | −0.00163372 | + | 0.0571876i | ||||
\(206\) | 0.336093 | + | 11.7648i | 0.0234167 | + | 0.819692i | ||||
\(207\) | −4.68090 | + | 0.267664i | −0.325345 | + | 0.0186039i | ||||
\(208\) | 0.845750 | + | 0.976047i | 0.0586422 | + | 0.0676767i | ||||
\(209\) | −8.27490 | − | 0.706281i | −0.572387 | − | 0.0488545i | ||||
\(210\) | −2.92862 | + | 3.37980i | −0.202094 | + | 0.233229i | ||||
\(211\) | 12.9223 | − | 16.7579i | 0.889606 | − | 1.15366i | −0.0977604 | − | 0.995210i | \(-0.531168\pi\) |
0.987367 | − | 0.158452i | \(-0.0506503\pi\) | |||||||
\(212\) | −3.04003 | − | 4.44590i | −0.208790 | − | 0.305346i | ||||
\(213\) | −29.2656 | + | 12.3678i | −2.00525 | + | 0.847425i | ||||
\(214\) | 8.04151 | + | 2.86921i | 0.549707 | + | 0.196135i | ||||
\(215\) | 6.89264 | + | 5.00780i | 0.470074 | + | 0.341529i | ||||
\(216\) | 2.72892 | + | 2.50458i | 0.185679 | + | 0.170415i | ||||
\(217\) | 1.79576 | + | 0.758893i | 0.121904 | + | 0.0515170i | ||||
\(218\) | 1.93330 | + | 9.54123i | 0.130940 | + | 0.646214i | ||||
\(219\) | 3.25237 | + | 2.09017i | 0.219775 | + | 0.141241i | ||||
\(220\) | 1.03445 | − | 2.90413i | 0.0697423 | − | 0.195797i | ||||
\(221\) | −3.89868 | + | 2.50553i | −0.262254 | + | 0.168540i | ||||
\(222\) | 11.0979 | + | 11.4194i | 0.744840 | + | 0.766423i | ||||
\(223\) | −11.5071 | + | 19.0824i | −0.770573 | + | 1.27785i | 0.184896 | + | 0.982758i | \(0.440805\pi\) |
−0.955469 | + | 0.295093i | \(0.904649\pi\) | |||||||
\(224\) | −2.10913 | − | 1.03699i | −0.140922 | − | 0.0692868i | ||||
\(225\) | −4.79627 | + | 1.11533i | −0.319751 | + | 0.0743550i | ||||
\(226\) | 4.98927 | + | 12.8148i | 0.331881 | + | 0.852430i | ||||
\(227\) | 5.34574 | − | 0.613367i | 0.354810 | − | 0.0407106i | 0.0652455 | − | 0.997869i | \(-0.479217\pi\) |
0.289564 | + | 0.957159i | \(0.406490\pi\) | |||||||
\(228\) | 3.77654 | − | 3.46608i | 0.250108 | − | 0.229547i | ||||
\(229\) | 13.7451 | − | 4.90426i | 0.908305 | − | 0.324083i | 0.159752 | − | 0.987157i | \(-0.448931\pi\) |
0.748553 | + | 0.663075i | \(0.230749\pi\) | |||||||
\(230\) | 3.51220 | + | 1.03127i | 0.231588 | + | 0.0680002i | ||||
\(231\) | 13.6692 | + | 8.23286i | 0.899365 | + | 0.541683i | ||||
\(232\) | 1.49917 | − | 0.440197i | 0.0984255 | − | 0.0289003i | ||||
\(233\) | 2.75832 | − | 2.00404i | 0.180704 | − | 0.131289i | −0.493756 | − | 0.869600i | \(-0.664376\pi\) |
0.674460 | + | 0.738311i | \(0.264376\pi\) | |||||||
\(234\) | 1.52761 | + | 0.175277i | 0.0998630 | + | 0.0114582i | ||||
\(235\) | −1.51519 | − | 5.76438i | −0.0988402 | − | 0.376027i | ||||
\(236\) | −9.34951 | + | 9.62041i | −0.608601 | + | 0.626236i | ||||
\(237\) | −1.56973 | + | 7.74694i | −0.101965 | + | 0.503218i | ||||
\(238\) | 4.76032 | − | 6.96174i | 0.308566 | − | 0.451263i | ||||
\(239\) | 7.34797 | + | 22.6147i | 0.475301 | + | 1.46283i | 0.845552 | + | 0.533894i | \(0.179272\pi\) |
−0.370251 | + | 0.928932i | \(0.620728\pi\) | |||||||
\(240\) | 0.887980 | + | 1.68291i | 0.0573189 | + | 0.108631i | ||||
\(241\) | 26.2756 | 1.69256 | 0.846280 | − | 0.532738i | \(-0.178837\pi\) | ||||
0.846280 | + | 0.532738i | \(0.178837\pi\) | |||||||
\(242\) | −10.8409 | − | 1.86417i | −0.696879 | − | 0.119833i | ||||
\(243\) | 11.7217 | 0.751945 | ||||||||
\(244\) | −0.524228 | − | 0.993523i | −0.0335603 | − | 0.0636038i | ||||
\(245\) | −0.424027 | − | 1.30502i | −0.0270901 | − | 0.0833747i | ||||
\(246\) | −1.01825 | + | 1.48914i | −0.0649213 | + | 0.0949444i | ||||
\(247\) | −0.642235 | + | 3.16955i | −0.0408644 | + | 0.201674i | ||||
\(248\) | 0.578103 | − | 0.594854i | 0.0367096 | − | 0.0377733i | ||||
\(249\) | 4.35782 | + | 16.5789i | 0.276165 | + | 1.05064i | ||||
\(250\) | 8.43673 | + | 0.968025i | 0.533586 | + | 0.0612233i | ||||
\(251\) | −21.1320 | + | 15.3533i | −1.33384 | + | 0.969090i | −0.334192 | + | 0.942505i | \(0.608463\pi\) |
−0.999647 | + | 0.0265853i | \(0.991537\pi\) | |||||||
\(252\) | −2.68485 | + | 0.788342i | −0.169129 | + | 0.0496609i | ||||
\(253\) | 1.48191 | − | 12.9766i | 0.0931668 | − | 0.815833i | ||||
\(254\) | −4.21706 | − | 1.23824i | −0.264602 | − | 0.0776942i | ||||
\(255\) | −6.43091 | + | 2.29455i | −0.402719 | + | 0.143690i | ||||
\(256\) | −0.736741 | + | 0.676175i | −0.0460463 | + | 0.0422609i | ||||
\(257\) | 8.12058 | − | 0.931750i | 0.506548 | − | 0.0581210i | 0.143049 | − | 0.989716i | \(-0.454309\pi\) |
0.363499 | + | 0.931595i | \(0.381582\pi\) | |||||||
\(258\) | 6.80743 | + | 17.4847i | 0.423812 | + | 1.08855i | ||||
\(259\) | 17.8070 | − | 4.14084i | 1.10647 | − | 0.257299i | ||||
\(260\) | −1.07730 | − | 0.529673i | −0.0668113 | − | 0.0328489i | ||||
\(261\) | 0.960624 | − | 1.59302i | 0.0594612 | − | 0.0986053i | ||||
\(262\) | 7.31174 | + | 7.52360i | 0.451721 | + | 0.464810i | ||||
\(263\) | −19.0495 | + | 12.2424i | −1.17464 | + | 0.754897i | −0.974394 | − | 0.224848i | \(-0.927811\pi\) |
−0.200249 | + | 0.979745i | \(0.564175\pi\) | |||||||
\(264\) | 5.37435 | − | 4.14882i | 0.330769 | − | 0.255342i | ||||
\(265\) | 4.21156 | + | 2.70660i | 0.258714 | + | 0.166265i | ||||
\(266\) | −1.16874 | − | 5.76797i | −0.0716602 | − | 0.353657i | ||||
\(267\) | −23.0181 | − | 9.72755i | −1.40869 | − | 0.595316i | ||||
\(268\) | −0.734318 | − | 0.673951i | −0.0448556 | − | 0.0411681i | ||||
\(269\) | 14.5688 | + | 10.5848i | 0.888274 | + | 0.645369i | 0.935427 | − | 0.353519i | \(-0.115015\pi\) |
−0.0471536 | + | 0.998888i | \(0.515015\pi\) | |||||||
\(270\) | −3.24275 | − | 1.15701i | −0.197347 | − | 0.0704134i | ||||
\(271\) | −15.2407 | + | 6.44076i | −0.925805 | + | 0.391248i | −0.799447 | − | 0.600736i | \(-0.794874\pi\) |
−0.126358 | + | 0.991985i | \(0.540329\pi\) | |||||||
\(272\) | −2.02543 | − | 2.96210i | −0.122810 | − | 0.179604i | ||||
\(273\) | 3.79437 | − | 4.92062i | 0.229645 | − | 0.297809i | ||||
\(274\) | 7.94320 | − | 9.16694i | 0.479866 | − | 0.553795i | ||||
\(275\) | −0.790430 | − | 13.6947i | −0.0476647 | − | 0.825824i | ||||
\(276\) | 5.27916 | + | 6.09248i | 0.317768 | + | 0.366724i | ||||
\(277\) | −6.28374 | + | 0.359317i | −0.377553 | + | 0.0215893i | −0.244836 | − | 0.969565i | \(-0.578734\pi\) |
−0.132718 | + | 0.991154i | \(0.542370\pi\) | |||||||
\(278\) | −0.170038 | − | 5.95211i | −0.0101982 | − | 0.356984i | ||||
\(279\) | 0.0282013 | − | 0.987175i | 0.00168837 | − | 0.0591006i | ||||
\(280\) | 2.18106 | + | 0.124718i | 0.130343 | + | 0.00745330i | ||||
\(281\) | −9.99916 | − | 12.9671i | −0.596500 | − | 0.773555i | 0.392773 | − | 0.919635i | \(-0.371516\pi\) |
−0.989273 | + | 0.146081i | \(0.953334\pi\) | |||||||
\(282\) | 4.05622 | − | 12.4838i | 0.241544 | − | 0.743397i | ||||
\(283\) | −27.0989 | + | 4.68965i | −1.61086 | + | 0.278771i | −0.903663 | − | 0.428243i | \(-0.859133\pi\) |
−0.707199 | + | 0.707014i | \(0.750042\pi\) | |||||||
\(284\) | 13.5143 | + | 7.63189i | 0.801928 | + | 0.452869i | ||||
\(285\) | −1.97934 | + | 4.33415i | −0.117246 | + | 0.256733i | ||||
\(286\) | −1.20458 | + | 4.11054i | −0.0712283 | + | 0.243061i | ||||
\(287\) | 0.860394 | + | 1.88400i | 0.0507875 | + | 0.111209i | ||||
\(288\) | −0.101884 | + | 1.18622i | −0.00600358 | + | 0.0698984i | ||||
\(289\) | −3.70048 | + | 1.81941i | −0.217675 | + | 0.107024i | ||||
\(290\) | −1.12432 | + | 0.919349i | −0.0660222 | + | 0.0539860i | ||||
\(291\) | −3.42565 | + | 1.93455i | −0.200815 | + | 0.113405i | ||||
\(292\) | −0.161615 | − | 1.88165i | −0.00945782 | − | 0.110115i | ||||
\(293\) | −1.43580 | − | 2.38101i | −0.0838803 | − | 0.139100i | 0.811580 | − | 0.584241i | \(-0.198608\pi\) |
−0.895460 | + | 0.445142i | \(0.853153\pi\) | |||||||
\(294\) | 0.768239 | − | 2.92269i | 0.0448046 | − | 0.170454i | ||||
\(295\) | 4.52407 | − | 11.6200i | 0.263402 | − | 0.676542i | ||||
\(296\) | 1.10703 | − | 7.69955i | 0.0643447 | − | 0.447527i | ||||
\(297\) | −2.08839 | + | 12.1061i | −0.121181 | + | 0.702468i | ||||
\(298\) | −2.73915 | − | 19.0512i | −0.158675 | − | 1.10361i | ||||
\(299\) | −4.95377 | − | 1.15195i | −0.286484 | − | 0.0666190i | ||||
\(300\) | 6.55447 | + | 5.35956i | 0.378422 | + | 0.309434i | ||||
\(301\) | 21.2266 | + | 3.67340i | 1.22348 | + | 0.211731i | ||||
\(302\) | −8.55749 | + | 16.2182i | −0.492428 | + | 0.933255i | ||||
\(303\) | −4.79747 | + | 9.09222i | −0.275607 | + | 0.522334i | ||||
\(304\) | −2.46737 | − | 0.426996i | −0.141513 | − | 0.0244899i | ||||
\(305\) | 0.808336 | + | 0.660973i | 0.0462852 | + | 0.0378472i | ||||
\(306\) | −4.16123 | − | 0.967653i | −0.237882 | − | 0.0553170i | ||||
\(307\) | 0.473603 | + | 3.29398i | 0.0270300 | + | 0.187998i | 0.998863 | − | 0.0476729i | \(-0.0151805\pi\) |
−0.971833 | + | 0.235670i | \(0.924271\pi\) | |||||||
\(308\) | −0.892694 | − | 7.74368i | −0.0508660 | − | 0.441237i | ||||
\(309\) | 3.42885 | − | 23.8482i | 0.195061 | − | 1.35668i | ||||
\(310\) | −0.279735 | + | 0.718493i | −0.0158879 | + | 0.0408077i | ||||
\(311\) | 2.90762 | − | 11.0617i | 0.164876 | − | 0.627252i | −0.832446 | − | 0.554107i | \(-0.813060\pi\) |
0.997321 | − | 0.0731456i | \(-0.0233038\pi\) | |||||||
\(312\) | −1.36526 | − | 2.26402i | −0.0772924 | − | 0.128175i | ||||
\(313\) | −1.50634 | − | 17.5380i | −0.0851434 | − | 0.991307i | −0.906866 | − | 0.421419i | \(-0.861532\pi\) |
0.821722 | − | 0.569888i | \(-0.193013\pi\) | |||||||
\(314\) | −14.0271 | + | 7.92145i | −0.791593 | + | 0.447033i | ||||
\(315\) | 2.01352 | − | 1.64645i | 0.113449 | − | 0.0927669i | ||||
\(316\) | 3.46510 | − | 1.70368i | 0.194927 | − | 0.0958392i | ||||
\(317\) | −0.334207 | + | 3.89110i | −0.0187709 | + | 0.218546i | 0.980936 | + | 0.194332i | \(0.0622538\pi\) |
−0.999707 | + | 0.0242142i | \(0.992292\pi\) | |||||||
\(318\) | 4.58012 | + | 10.0291i | 0.256840 | + | 0.562402i | ||||
\(319\) | 3.91818 | + | 3.39146i | 0.219376 | + | 0.189886i | ||||
\(320\) | 0.386136 | − | 0.845521i | 0.0215857 | − | 0.0472660i | ||||
\(321\) | −15.2190 | − | 8.59459i | −0.849444 | − | 0.479703i | ||||
\(322\) | 9.11988 | − | 1.57826i | 0.508231 | − | 0.0879528i | ||||
\(323\) | 2.77666 | − | 8.54568i | 0.154497 | − | 0.475494i | ||||
\(324\) | −6.81133 | − | 8.83308i | −0.378407 | − | 0.490727i | ||||
\(325\) | −5.33291 | − | 0.304947i | −0.295816 | − | 0.0169154i | ||||
\(326\) | 0.453488 | − | 15.8741i | 0.0251164 | − | 0.879187i | ||||
\(327\) | −0.569085 | − | 19.9206i | −0.0314705 | − | 1.10161i | ||||
\(328\) | 0.879809 | − | 0.0503093i | 0.0485793 | − | 0.00277787i | ||||
\(329\) | −9.86891 | − | 11.3893i | −0.544090 | − | 0.627914i | ||||
\(330\) | −3.10035 | + | 5.49686i | −0.170669 | + | 0.302592i | ||||
\(331\) | −6.78491 | + | 7.83021i | −0.372933 | + | 0.430387i | −0.910931 | − | 0.412559i | \(-0.864635\pi\) |
0.537998 | + | 0.842946i | \(0.319181\pi\) | |||||||
\(332\) | 5.11347 | − | 6.63127i | 0.280638 | − | 0.363938i | ||||
\(333\) | −5.22743 | − | 7.64488i | −0.286462 | − | 0.418937i | ||||
\(334\) | −15.6891 | + | 6.63025i | −0.858467 | + | 0.362791i | ||||
\(335\) | 0.872583 | + | 0.311337i | 0.0476743 | + | 0.0170102i | ||||
\(336\) | 3.89236 | + | 2.82796i | 0.212346 | + | 0.154278i | ||||
\(337\) | 16.5437 | + | 15.1837i | 0.901193 | + | 0.827107i | 0.985560 | − | 0.169328i | \(-0.0541596\pi\) |
−0.0843673 | + | 0.996435i | \(0.526887\pi\) | |||||||
\(338\) | −10.4382 | − | 4.41122i | −0.567764 | − | 0.239939i | ||||
\(339\) | −5.59057 | − | 27.5905i | −0.303638 | − | 1.49851i | ||||
\(340\) | 2.80597 | + | 1.80329i | 0.152175 | + | 0.0977970i | ||||
\(341\) | 2.69661 | + | 0.544904i | 0.146029 | + | 0.0295082i | ||||
\(342\) | −2.50801 | + | 1.61180i | −0.135618 | + | 0.0871561i | ||||
\(343\) | −13.8840 | − | 14.2863i | −0.749665 | − | 0.771387i | ||||
\(344\) | 4.73319 | − | 7.84911i | 0.255196 | − | 0.423195i | ||||
\(345\) | −6.72450 | − | 3.30621i | −0.362035 | − | 0.178001i | ||||
\(346\) | −8.99561 | + | 2.09184i | −0.483607 | + | 0.112458i | ||||
\(347\) | 10.3855 | + | 26.6749i | 0.557521 | + | 1.43198i | 0.875190 | + | 0.483779i | \(0.160736\pi\) |
−0.317669 | + | 0.948202i | \(0.602900\pi\) | |||||||
\(348\) | −3.17766 | + | 0.364602i | −0.170340 | + | 0.0195447i | ||||
\(349\) | 25.5949 | − | 23.4908i | 1.37006 | − | 1.25743i | 0.436177 | − | 0.899861i | \(-0.356332\pi\) |
0.933886 | − | 0.357571i | \(-0.116395\pi\) | |||||||
\(350\) | 9.15539 | − | 3.26664i | 0.489376 | − | 0.174609i | ||||
\(351\) | 4.58998 | + | 1.34774i | 0.244995 | + | 0.0719370i | ||||
\(352\) | −3.20811 | − | 0.841434i | −0.170993 | − | 0.0448486i | ||||
\(353\) | 19.9306 | − | 5.85214i | 1.06080 | − | 0.311478i | 0.295625 | − | 0.955304i | \(-0.404472\pi\) |
0.765172 | + | 0.643826i | \(0.222654\pi\) | |||||||
\(354\) | 22.2172 | − | 16.1418i | 1.18083 | − | 0.857925i | ||||
\(355\) | −14.3325 | − | 1.64450i | −0.760689 | − | 0.0872809i | ||||
\(356\) | 3.10329 | + | 11.8061i | 0.164474 | + | 0.625723i | ||||
\(357\) | −12.0323 | + | 12.3809i | −0.636814 | + | 0.655266i | ||||
\(358\) | 3.46521 | − | 17.1015i | 0.183142 | − | 0.903843i | ||||
\(359\) | −14.1347 | + | 20.6713i | −0.745999 | + | 1.09099i | 0.246549 | + | 0.969130i | \(0.420704\pi\) |
−0.992548 | + | 0.121858i | \(0.961115\pi\) | |||||||
\(360\) | −0.341980 | − | 1.05251i | −0.0180239 | − | 0.0554719i | ||||
\(361\) | 5.94056 | + | 11.2586i | 0.312661 | + | 0.592558i | ||||
\(362\) | −2.50389 | −0.131601 | ||||||||
\(363\) | 21.2165 | + | 7.54451i | 1.11358 | + | 0.395984i | ||||
\(364\) | −3.03537 | −0.159096 | ||||||||
\(365\) | 0.819222 | + | 1.55260i | 0.0428800 | + | 0.0812667i | ||||
\(366\) | 0.710612 | + | 2.18704i | 0.0371443 | + | 0.114318i | ||||
\(367\) | 17.3418 | − | 25.3616i | 0.905236 | − | 1.32387i | −0.0405851 | − | 0.999176i | \(-0.512922\pi\) |
0.945821 | − | 0.324689i | \(-0.105260\pi\) | |||||||
\(368\) | 0.782055 | − | 3.85959i | 0.0407674 | − | 0.201195i | ||||
\(369\) | 0.731225 | − | 0.752412i | 0.0380660 | − | 0.0391690i | ||||
\(370\) | 1.83812 | + | 6.99294i | 0.0955593 | + | 0.363545i | ||||
\(371\) | 12.5758 | + | 1.44294i | 0.652903 | + | 0.0749136i | ||||
\(372\) | −1.37375 | + | 0.998085i | −0.0712254 | + | 0.0517483i | ||||
\(373\) | −17.5231 | + | 5.14523i | −0.907310 | + | 0.266410i | −0.701908 | − | 0.712268i | \(-0.747668\pi\) |
−0.205402 | + | 0.978678i | \(0.565850\pi\) | |||||||
\(374\) | 4.62696 | − | 10.9650i | 0.239255 | − | 0.566988i | ||||
\(375\) | −16.6799 | − | 4.89766i | −0.861346 | − | 0.252914i | ||||
\(376\) | −6.03922 | + | 2.15479i | −0.311449 | + | 0.111125i | ||||
\(377\) | 1.48668 | − | 1.36446i | 0.0765680 | − | 0.0702734i | ||||
\(378\) | −8.64876 | + | 0.992353i | −0.444844 | + | 0.0510411i | ||||
\(379\) | −11.2578 | − | 28.9153i | −0.578272 | − | 1.48528i | −0.852036 | − | 0.523482i | \(-0.824633\pi\) |
0.273765 | − | 0.961797i | \(-0.411731\pi\) | |||||||
\(380\) | 2.26707 | − | 0.527185i | 0.116298 | − | 0.0270440i | ||||
\(381\) | 8.07404 | + | 3.96974i | 0.413645 | + | 0.203376i | ||||
\(382\) | 2.53898 | − | 4.21043i | 0.129906 | − | 0.215424i | ||||
\(383\) | 10.8910 | + | 11.2066i | 0.556506 | + | 0.572631i | 0.935749 | − | 0.352666i | \(-0.114725\pi\) |
−0.379243 | + | 0.925297i | \(0.623816\pi\) | |||||||
\(384\) | 1.72212 | − | 1.10674i | 0.0878817 | − | 0.0564781i | ||||
\(385\) | 3.56626 | + | 6.30715i | 0.181753 | + | 0.321442i | ||||
\(386\) | −13.6963 | − | 8.80208i | −0.697124 | − | 0.448014i | ||||
\(387\) | −2.16714 | − | 10.6953i | −0.110162 | − | 0.543671i | ||||
\(388\) | 1.77024 | + | 0.748109i | 0.0898702 | + | 0.0379795i | ||||
\(389\) | 19.0815 | + | 17.5128i | 0.967470 | + | 0.887936i | 0.993740 | − | 0.111719i | \(-0.0356357\pi\) |
−0.0262700 | + | 0.999655i | \(0.508363\pi\) | |||||||
\(390\) | 1.98814 | + | 1.44447i | 0.100673 | + | 0.0731434i | ||||
\(391\) | 13.3093 | + | 4.74875i | 0.673081 | + | 0.240155i | ||||
\(392\) | −1.35979 | + | 0.574650i | −0.0686795 | + | 0.0290242i | ||||
\(393\) | −12.1223 | − | 17.7283i | −0.611488 | − | 0.894273i | ||||
\(394\) | 9.61306 | − | 12.4664i | 0.484299 | − | 0.628050i | ||||
\(395\) | −2.35038 | + | 2.71248i | −0.118260 | + | 0.136480i | ||||
\(396\) | −3.49139 | + | 1.84460i | −0.175449 | + | 0.0926947i | ||||
\(397\) | 15.4557 | + | 17.8368i | 0.775700 | + | 0.895205i | 0.996791 | − | 0.0800478i | \(-0.0255073\pi\) |
−0.221091 | + | 0.975253i | \(0.570962\pi\) | |||||||
\(398\) | −10.7584 | + | 0.615186i | −0.539269 | + | 0.0308365i | ||||
\(399\) | 0.344030 | + | 12.0426i | 0.0172230 | + | 0.602884i | ||||
\(400\) | 0.118108 | − | 4.13431i | 0.00590538 | − | 0.206715i | ||||
\(401\) | 30.2604 | + | 1.73035i | 1.51113 | + | 0.0864097i | 0.792882 | − | 0.609375i | \(-0.208580\pi\) |
0.718250 | + | 0.695785i | \(0.244943\pi\) | |||||||
\(402\) | 1.24594 | + | 1.61576i | 0.0621419 | + | 0.0805870i | ||||
\(403\) | 0.331045 | − | 1.01885i | 0.0164905 | − | 0.0507526i | ||||
\(404\) | 4.94834 | − | 0.856345i | 0.246189 | − | 0.0426047i | ||||
\(405\) | 9.02798 | + | 5.09834i | 0.448604 | + | 0.253338i | ||||
\(406\) | −1.52549 | + | 3.34036i | −0.0757089 | + | 0.165779i | ||||
\(407\) | 23.4620 | − | 10.7299i | 1.16297 | − | 0.531860i | ||||
\(408\) | 3.05153 | + | 6.68191i | 0.151073 | + | 0.330804i | ||||
\(409\) | 0.865349 | − | 10.0751i | 0.0427888 | − | 0.498180i | −0.943298 | − | 0.331948i | \(-0.892294\pi\) |
0.986087 | − | 0.166233i | \(-0.0531603\pi\) | |||||||
\(410\) | −0.735091 | + | 0.361420i | −0.0363036 | + | 0.0178493i | ||||
\(411\) | −19.2222 | + | 15.7180i | −0.948163 | + | 0.775309i | ||||
\(412\) | −10.2483 | + | 5.78750i | −0.504899 | + | 0.285130i | ||||
\(413\) | −2.69811 | − | 31.4135i | −0.132765 | − | 1.54576i | ||||
\(414\) | −2.42116 | − | 4.01504i | −0.118993 | − | 0.197328i | ||||
\(415\) | −1.97875 | + | 7.52793i | −0.0971329 | + | 0.369532i | ||||
\(416\) | −0.468565 | + | 1.20350i | −0.0229733 | + | 0.0590064i | ||||
\(417\) | −1.73474 | + | 12.0654i | −0.0849508 | + | 0.590846i | ||||
\(418\) | −3.23697 | − | 7.64819i | −0.158325 | − | 0.374085i | ||||
\(419\) | 1.27995 | + | 8.90228i | 0.0625298 | + | 0.434905i | 0.996905 | + | 0.0786142i | \(0.0250495\pi\) |
−0.934375 | + | 0.356290i | \(0.884041\pi\) | |||||||
\(420\) | −4.35590 | − | 1.01292i | −0.212546 | − | 0.0494255i | ||||
\(421\) | 7.77543 | + | 6.35794i | 0.378951 | + | 0.309867i | 0.803235 | − | 0.595662i | \(-0.203110\pi\) |
−0.424283 | + | 0.905529i | \(0.639474\pi\) | |||||||
\(422\) | 20.8517 | + | 3.60852i | 1.01504 | + | 0.175660i | ||||
\(423\) | −3.56262 | + | 6.75191i | −0.173220 | + | 0.328289i | ||||
\(424\) | 2.51342 | − | 4.76346i | 0.122062 | − | 0.231334i | ||||
\(425\) | 14.6241 | + | 2.53080i | 0.709374 | + | 0.122762i | ||||
\(426\) | −24.5958 | − | 20.1119i | −1.19167 | − | 0.974423i | ||||
\(427\) | 2.57155 | + | 0.597989i | 0.124446 | + | 0.0289387i | ||||
\(428\) | 1.21509 | + | 8.45115i | 0.0587337 | + | 0.408502i | ||||
\(429\) | 3.86466 | − | 7.87093i | 0.186587 | − | 0.380012i | ||||
\(430\) | −1.21249 | + | 8.43305i | −0.0584714 | + | 0.406678i | ||||
\(431\) | −8.68377 | + | 22.3041i | −0.418282 | + | 1.07435i | 0.552314 | + | 0.833636i | \(0.313745\pi\) |
−0.970596 | + | 0.240713i | \(0.922619\pi\) | |||||||
\(432\) | −0.941635 | + | 3.58235i | −0.0453045 | + | 0.172356i | ||||
\(433\) | −13.0535 | − | 21.6467i | −0.627309 | − | 1.04028i | −0.993942 | − | 0.109910i | \(-0.964944\pi\) |
0.366632 | − | 0.930366i | \(-0.380511\pi\) | |||||||
\(434\) | 0.166831 | + | 1.94238i | 0.00800814 | + | 0.0932371i | ||||
\(435\) | 2.58879 | − | 1.46196i | 0.124123 | − | 0.0700955i | ||||
\(436\) | −7.53637 | + | 6.16246i | −0.360927 | + | 0.295128i | ||||
\(437\) | 8.84925 | − | 4.35088i | 0.423317 | − | 0.208131i | ||||
\(438\) | −0.330841 | + | 3.85192i | −0.0158082 | + | 0.184052i | ||||
\(439\) | −9.93315 | − | 21.7506i | −0.474083 | − | 1.03810i | −0.984048 | − | 0.177902i | \(-0.943069\pi\) |
0.509965 | − | 0.860195i | \(-0.329658\pi\) | |||||||
\(440\) | 3.05125 | − | 0.440367i | 0.145463 | − | 0.0209937i | ||||
\(441\) | −0.730120 | + | 1.59874i | −0.0347676 | + | 0.0761305i | ||||
\(442\) | −4.03536 | − | 2.27887i | −0.191943 | − | 0.108395i | ||||
\(443\) | −8.89727 | + | 1.53973i | −0.422722 | + | 0.0731549i | −0.377914 | − | 0.925841i | \(-0.623359\pi\) |
−0.0448080 | + | 0.998996i | \(0.514268\pi\) | |||||||
\(444\) | −4.92072 | + | 15.1444i | −0.233527 | + | 0.718722i | ||||
\(445\) | −6.92890 | − | 8.98556i | −0.328461 | − | 0.425956i | ||||
\(446\) | −22.2471 | − | 1.27213i | −1.05343 | − | 0.0602373i | ||||
\(447\) | −1.12513 | + | 39.3846i | −0.0532166 | + | 1.86283i | ||||
\(448\) | −0.0671145 | − | 2.34931i | −0.00317086 | − | 0.110995i | ||||
\(449\) | −2.28395 | + | 0.130601i | −0.107786 | + | 0.00616345i | −0.110899 | − | 0.993832i | \(-0.535373\pi\) |
0.00311239 | + | 0.999995i | \(0.499009\pi\) | |||||||
\(450\) | −3.22469 | − | 3.72150i | −0.152014 | − | 0.175433i | ||||
\(451\) | 1.71922 | + | 2.36365i | 0.0809549 | + | 0.111300i | ||||
\(452\) | −9.00553 | + | 10.3929i | −0.423585 | + | 0.488843i | ||||
\(453\) | 22.9228 | − | 29.7268i | 1.07701 | − | 1.39669i | ||||
\(454\) | 3.03717 | + | 4.44171i | 0.142541 | + | 0.208460i | ||||
\(455\) | 2.59889 | − | 1.09830i | 0.121838 | − | 0.0514890i | ||||
\(456\) | 4.82791 | + | 1.72259i | 0.226087 | + | 0.0806678i | ||||
\(457\) | −5.04646 | − | 3.66647i | −0.236063 | − | 0.171510i | 0.463464 | − | 0.886116i | \(-0.346606\pi\) |
−0.699528 | + | 0.714605i | \(0.746606\pi\) | |||||||
\(458\) | 10.7519 | + | 9.86800i | 0.502403 | + | 0.461101i | ||||
\(459\) | −12.2431 | − | 5.17398i | −0.571459 | − | 0.241501i | ||||
\(460\) | 0.726935 | + | 3.58757i | 0.0338935 | + | 0.167271i | ||||
\(461\) | −12.8514 | − | 8.25912i | −0.598551 | − | 0.384666i | 0.205997 | − | 0.978553i | \(-0.433956\pi\) |
−0.804548 | + | 0.593887i | \(0.797593\pi\) | |||||||
\(462\) | −0.902460 | + | 15.9315i | −0.0419863 | + | 0.741199i | ||||
\(463\) | −28.0513 | + | 18.0275i | −1.30365 | + | 0.837808i | −0.993605 | − | 0.112912i | \(-0.963982\pi\) |
−0.310050 | + | 0.950720i | \(0.600346\pi\) | |||||||
\(464\) | 1.08894 | + | 1.12049i | 0.0505527 | + | 0.0520175i | ||||
\(465\) | 0.815063 | − | 1.35163i | 0.0377977 | − | 0.0626804i | ||||
\(466\) | 3.05966 | + | 1.50433i | 0.141736 | + | 0.0696868i | ||||
\(467\) | 3.78722 | − | 0.880681i | 0.175252 | − | 0.0407530i | −0.137952 | − | 0.990439i | \(-0.544052\pi\) |
0.313204 | + | 0.949686i | \(0.398598\pi\) | |||||||
\(468\) | 0.557865 | + | 1.43287i | 0.0257873 | + | 0.0662342i | ||||
\(469\) | 2.32727 | − | 0.267030i | 0.107463 | − | 0.0123303i | ||||
\(470\) | 4.39112 | − | 4.03013i | 0.202547 | − | 0.185896i | ||||
\(471\) | 31.0593 | − | 11.0819i | 1.43114 | − | 0.510629i | ||||
\(472\) | −12.8717 | − | 3.77948i | −0.592469 | − | 0.173965i | ||||
\(473\) | 30.3866 | − | 0.884313i | 1.39718 | − | 0.0406608i | ||||
\(474\) | −7.58420 | + | 2.22692i | −0.348354 | + | 0.102286i | ||||
\(475\) | 8.37876 | − | 6.08753i | 0.384444 | − | 0.279315i | ||||
\(476\) | 8.37868 | + | 0.961364i | 0.384036 | + | 0.0440641i | ||||
\(477\) | −1.63014 | − | 6.20168i | −0.0746388 | − | 0.283956i | ||||
\(478\) | −16.5722 | + | 17.0523i | −0.757993 | + | 0.779956i | ||||
\(479\) | 3.49720 | − | 17.2594i | 0.159791 | − | 0.788600i | −0.817372 | − | 0.576110i | \(-0.804570\pi\) |
0.977163 | − | 0.212490i | \(-0.0681573\pi\) | |||||||
\(480\) | −1.07403 | + | 1.57072i | −0.0490225 | + | 0.0716931i | ||||
\(481\) | −3.10445 | − | 9.55450i | −0.141551 | − | 0.435648i | ||||
\(482\) | 12.2620 | + | 23.2390i | 0.558517 | + | 1.05851i | ||||
\(483\) | −18.9467 | −0.862106 | ||||||||
\(484\) | −3.41036 | − | 10.4580i | −0.155016 | − | 0.475363i | ||||
\(485\) | −1.78637 | −0.0811151 | ||||||||
\(486\) | 5.47012 | + | 10.3670i | 0.248130 | + | 0.470258i | ||||
\(487\) | 5.86448 | + | 18.0490i | 0.265745 | + | 0.817879i | 0.991521 | + | 0.129948i | \(0.0414810\pi\) |
−0.725776 | + | 0.687931i | \(0.758519\pi\) | |||||||
\(488\) | 0.634064 | − | 0.927289i | 0.0287027 | − | 0.0419764i | ||||
\(489\) | −6.45599 | + | 31.8616i | −0.291950 | + | 1.44083i | ||||
\(490\) | 0.956323 | − | 0.984034i | 0.0432023 | − | 0.0444541i | ||||
\(491\) | 4.08812 | + | 15.5528i | 0.184494 | + | 0.701889i | 0.993475 | + | 0.114054i | \(0.0363835\pi\) |
−0.808980 | + | 0.587836i | \(0.799980\pi\) | |||||||
\(492\) | −1.79223 | − | 0.205640i | −0.0808001 | − | 0.00927095i | ||||
\(493\) | −4.53592 | + | 3.29554i | −0.204287 | + | 0.148424i | ||||
\(494\) | −3.10297 | + | 0.911113i | −0.139609 | + | 0.0409929i | ||||
\(495\) | 2.32190 | − | 2.84266i | 0.104362 | − | 0.127768i | ||||
\(496\) | 0.795891 | + | 0.233695i | 0.0357365 | + | 0.0104932i | ||||
\(497\) | −34.3558 | + | 12.2581i | −1.54107 | + | 0.549852i | ||||
\(498\) | −12.6292 | + | 11.5910i | −0.565930 | + | 0.519405i | ||||
\(499\) | 3.25526 | − | 0.373506i | 0.145725 | − | 0.0167204i | −0.0408218 | − | 0.999166i | \(-0.512998\pi\) |
0.186547 | + | 0.982446i | \(0.440270\pi\) | |||||||
\(500\) | 3.08099 | + | 7.91347i | 0.137786 | + | 0.353901i | ||||
\(501\) | 33.9610 | − | 7.89729i | 1.51727 | − | 0.352825i | ||||
\(502\) | −23.4405 | − | 11.5249i | −1.04620 | − | 0.514383i | ||||
\(503\) | −14.2132 | + | 23.5700i | −0.633736 | + | 1.05093i | 0.359311 | + | 0.933218i | \(0.383012\pi\) |
−0.993047 | + | 0.117716i | \(0.962443\pi\) | |||||||
\(504\) | −1.95017 | − | 2.00667i | −0.0868673 | − | 0.0893843i | ||||
\(505\) | −3.92693 | + | 2.52368i | −0.174746 | + | 0.112302i | ||||
\(506\) | 12.1685 | − | 4.74512i | 0.540956 | − | 0.210946i | ||||
\(507\) | 19.5152 | + | 12.5416i | 0.866699 | + | 0.556993i | ||||
\(508\) | −0.872824 | − | 4.30755i | −0.0387253 | − | 0.191117i | ||||
\(509\) | 5.12426 | + | 2.16553i | 0.227129 | + | 0.0959855i | 0.499865 | − | 0.866103i | \(-0.333383\pi\) |
−0.272736 | + | 0.962089i | \(0.587928\pi\) | |||||||
\(510\) | −5.03047 | − | 4.61692i | −0.222753 | − | 0.204441i | ||||
\(511\) | 3.59097 | + | 2.60899i | 0.158855 | + | 0.115415i | ||||
\(512\) | −0.941844 | − | 0.336049i | −0.0416240 | − | 0.0148514i | ||||
\(513\) | −8.54351 | + | 3.61052i | −0.377205 | + | 0.159408i | ||||
\(514\) | 4.61368 | + | 6.74729i | 0.203501 | + | 0.297610i | ||||
\(515\) | 6.68053 | − | 8.66347i | 0.294379 | − | 0.381758i | ||||
\(516\) | −12.2873 | + | 14.1803i | −0.540917 | + | 0.624252i | ||||
\(517\) | −16.8480 | − | 12.9774i | −0.740975 | − | 0.570746i | ||||
\(518\) | 11.9722 | + | 13.8167i | 0.526030 | + | 0.607071i | ||||
\(519\) | 18.8753 | − | 1.07933i | 0.828535 | − | 0.0473774i | ||||
\(520\) | −0.0342807 | − | 1.19998i | −0.00150331 | − | 0.0526226i | ||||
\(521\) | −0.184431 | + | 6.45594i | −0.00808009 | + | 0.282840i | 0.985498 | + | 0.169689i | \(0.0542763\pi\) |
−0.993578 | + | 0.113151i | \(0.963906\pi\) | |||||||
\(522\) | 1.85721 | + | 0.106199i | 0.0812878 | + | 0.00464820i | ||||
\(523\) | −16.4833 | − | 21.3759i | −0.720765 | − | 0.934705i | 0.278907 | − | 0.960318i | \(-0.410028\pi\) |
−0.999672 | + | 0.0256133i | \(0.991846\pi\) | |||||||
\(524\) | −3.24197 | + | 9.97776i | −0.141626 | + | 0.435881i | ||||
\(525\) | −19.6077 | + | 3.39325i | −0.855751 | + | 0.148094i | ||||
\(526\) | −19.7173 | − | 11.1349i | −0.859717 | − | 0.485504i | ||||
\(527\) | −1.23649 | + | 2.70754i | −0.0538625 | + | 0.117942i | ||||
\(528\) | 6.17739 | + | 2.81713i | 0.268836 | + | 0.122600i | ||||
\(529\) | −3.11226 | − | 6.81490i | −0.135316 | − | 0.296300i | ||||
\(530\) | −0.428413 | + | 4.98792i | −0.0186091 | + | 0.216662i | ||||
\(531\) | −14.3331 | + | 7.04711i | −0.622003 | + | 0.305818i | ||||
\(532\) | 4.55597 | − | 3.72540i | 0.197526 | − | 0.161516i | ||||
\(533\) | 0.991019 | − | 0.559654i | 0.0429258 | − | 0.0242413i | ||||
\(534\) | −2.13845 | − | 24.8975i | −0.0925398 | − | 1.07742i | ||||
\(535\) | −4.09828 | − | 6.79623i | −0.177184 | − | 0.293827i | ||||
\(536\) | 0.253382 | − | 0.963966i | 0.0109444 | − | 0.0416370i | ||||
\(537\) | −12.9594 | + | 33.2860i | −0.559240 | + | 1.43640i | ||||
\(538\) | −2.56280 | + | 17.8247i | −0.110490 | + | 0.768477i | ||||
\(539\) | −4.04305 | − | 2.76140i | −0.174147 | − | 0.118942i | ||||
\(540\) | −0.489987 | − | 3.40793i | −0.0210857 | − | 0.146654i | ||||
\(541\) | 23.6172 | + | 5.49194i | 1.01538 | + | 0.236117i | 0.700986 | − | 0.713175i | \(-0.252744\pi\) |
0.314396 | + | 0.949292i | \(0.398198\pi\) | |||||||
\(542\) | −12.8087 | − | 10.4737i | −0.550183 | − | 0.449882i | ||||
\(543\) | 5.05062 | + | 0.874043i | 0.216743 | + | 0.0375088i | ||||
\(544\) | 1.67458 | − | 3.17368i | 0.0717969 | − | 0.136070i | ||||
\(545\) | 4.22287 | − | 8.00323i | 0.180888 | − | 0.342821i | ||||
\(546\) | 6.12266 | + | 1.05957i | 0.262026 | + | 0.0453454i | ||||
\(547\) | −7.11974 | − | 5.82178i | −0.304418 | − | 0.248921i | 0.468447 | − | 0.883491i | \(-0.344814\pi\) |
−0.772865 | + | 0.634570i | \(0.781177\pi\) | |||||||
\(548\) | 11.8144 | + | 2.74732i | 0.504685 | + | 0.117359i | ||||
\(549\) | −0.190337 | − | 1.32382i | −0.00812338 | − | 0.0564993i | ||||
\(550\) | 11.7432 | − | 7.08997i | 0.500732 | − | 0.302317i | ||||
\(551\) | −0.556804 | + | 3.87266i | −0.0237206 | + | 0.164981i | ||||
\(552\) | −2.92478 | + | 7.51223i | −0.124487 | + | 0.319742i | ||||
\(553\) | −2.30704 | + | 8.77690i | −0.0981054 | + | 0.373232i | ||||
\(554\) | −3.25021 | − | 5.38987i | −0.138088 | − | 0.228993i | ||||
\(555\) | −1.26663 | − | 14.7472i | −0.0537656 | − | 0.625982i | ||||
\(556\) | 5.18489 | − | 2.92804i | 0.219888 | − | 0.124177i | ||||
\(557\) | 26.7477 | − | 21.8715i | 1.13334 | − | 0.926726i | 0.135392 | − | 0.990792i | \(-0.456771\pi\) |
0.997946 | + | 0.0640663i | \(0.0204069\pi\) | |||||||
\(558\) | 0.886251 | − | 0.435740i | 0.0375180 | − | 0.0184464i | ||||
\(559\) | 1.01300 | − | 11.7941i | 0.0428453 | − | 0.498839i | ||||
\(560\) | 0.907525 | + | 1.98720i | 0.0383499 | + | 0.0839746i | ||||
\(561\) | −13.1607 | + | 20.5025i | −0.555645 | + | 0.865617i | ||||
\(562\) | 6.80228 | − | 14.8949i | 0.286937 | − | 0.628304i | ||||
\(563\) | −15.0882 | − | 8.52069i | −0.635891 | − | 0.359104i | 0.139834 | − | 0.990175i | \(-0.455343\pi\) |
−0.775725 | + | 0.631071i | \(0.782616\pi\) | |||||||
\(564\) | 12.9340 | − | 2.23831i | 0.544618 | − | 0.0942498i | ||||
\(565\) | 3.95004 | − | 12.1570i | 0.166179 | − | 0.511447i | ||||
\(566\) | −16.7939 | − | 21.7787i | −0.705898 | − | 0.915425i | ||||
\(567\) | 26.1728 | + | 1.49661i | 1.09915 | + | 0.0628519i | ||||
\(568\) | −0.443201 | + | 15.5141i | −0.0185963 | + | 0.650956i | ||||
\(569\) | −0.980078 | − | 34.3072i | −0.0410870 | − | 1.43823i | −0.714846 | − | 0.699282i | \(-0.753503\pi\) |
0.673759 | − | 0.738951i | \(-0.264679\pi\) | |||||||
\(570\) | −4.75696 | + | 0.272013i | −0.199247 | + | 0.0113934i | ||||
\(571\) | 9.32841 | + | 10.7656i | 0.390382 | + | 0.450524i | 0.916588 | − | 0.399832i | \(-0.130932\pi\) |
−0.526207 | + | 0.850357i | \(0.676386\pi\) | |||||||
\(572\) | −4.19764 | + | 0.852885i | −0.175512 | + | 0.0356609i | ||||
\(573\) | −6.59116 | + | 7.60660i | −0.275350 | + | 0.317770i | ||||
\(574\) | −1.26475 | + | 1.64016i | −0.0527898 | + | 0.0684591i | ||||
\(575\) | 9.19346 | + | 13.4450i | 0.383394 | + | 0.560695i | ||||
\(576\) | −1.09667 | + | 0.463458i | −0.0456948 | + | 0.0193108i | ||||
\(577\) | −19.6282 | − | 7.00332i | −0.817131 | − | 0.291552i | −0.105781 | − | 0.994389i | \(-0.533734\pi\) |
−0.711350 | + | 0.702838i | \(0.751916\pi\) | |||||||
\(578\) | −3.33604 | − | 2.42377i | −0.138761 | − | 0.100816i | ||||
\(579\) | 24.5544 | + | 22.5358i | 1.02044 | + | 0.936556i | ||||
\(580\) | −1.33778 | − | 0.565352i | −0.0555485 | − | 0.0234750i | ||||
\(581\) | 3.90842 | + | 19.2888i | 0.162149 | + | 0.800235i | ||||
\(582\) | −3.30962 | − | 2.12696i | −0.137188 | − | 0.0881654i | ||||
\(583\) | 17.7966 | − | 1.53813i | 0.737061 | − | 0.0637027i | ||||
\(584\) | 1.58878 | − | 1.02104i | 0.0657440 | − | 0.0422511i | ||||
\(585\) | −0.996105 | − | 1.02497i | −0.0411839 | − | 0.0423772i | ||||
\(586\) | 1.43580 | − | 2.38101i | 0.0593124 | − | 0.0983585i | ||||
\(587\) | 29.2764 | + | 14.3943i | 1.20837 | + | 0.594115i | 0.930425 | − | 0.366483i | \(-0.119438\pi\) |
0.277943 | + | 0.960597i | \(0.410347\pi\) | |||||||
\(588\) | 2.94343 | − | 0.684466i | 0.121385 | − | 0.0282269i | ||||
\(589\) | 0.753582 | + | 1.93556i | 0.0310508 | + | 0.0797533i | ||||
\(590\) | 12.3883 | − | 1.42143i | 0.510020 | − | 0.0585193i | ||||
\(591\) | −23.7423 | + | 21.7905i | −0.976628 | + | 0.896341i | ||||
\(592\) | 7.32635 | − | 2.61404i | 0.301111 | − | 0.107436i | ||||
\(593\) | −35.0360 | − | 10.2875i | −1.43876 | − | 0.422457i | −0.532949 | − | 0.846147i | \(-0.678916\pi\) |
−0.905807 | + | 0.423691i | \(0.860734\pi\) | |||||||
\(594\) | −11.6816 | + | 3.80249i | −0.479303 | + | 0.156018i | ||||
\(595\) | −7.52170 | + | 2.20857i | −0.308360 | + | 0.0905426i | ||||
\(596\) | 15.5713 | − | 11.3132i | 0.637823 | − | 0.463406i | ||||
\(597\) | 21.9156 | + | 2.51458i | 0.896945 | + | 0.102915i | ||||
\(598\) | −1.29294 | − | 4.91886i | −0.0528723 | − | 0.201147i | ||||
\(599\) | −18.0785 | + | 18.6023i | −0.738668 | + | 0.760071i | −0.977488 | − | 0.210993i | \(-0.932330\pi\) |
0.238820 | + | 0.971064i | \(0.423240\pi\) | |||||||
\(600\) | −1.68142 | + | 8.29812i | −0.0686436 | + | 0.338769i | ||||
\(601\) | −18.9027 | + | 27.6443i | −0.771057 | + | 1.12764i | 0.217392 | + | 0.976084i | \(0.430245\pi\) |
−0.988449 | + | 0.151551i | \(0.951573\pi\) | |||||||
\(602\) | 6.65687 | + | 20.4877i | 0.271314 | + | 0.835017i | ||||
\(603\) | −0.553779 | − | 1.04953i | −0.0225516 | − | 0.0427401i | ||||
\(604\) | −18.3375 | −0.746140 | ||||||||
\(605\) | 6.70401 | + | 7.72017i | 0.272557 | + | 0.313869i | ||||
\(606\) | −10.2803 | −0.417608 | ||||||||
\(607\) | 20.2175 | + | 38.3165i | 0.820605 | + | 1.55522i | 0.831663 | + | 0.555280i | \(0.187389\pi\) |
−0.0110583 | + | 0.999939i | \(0.503520\pi\) | |||||||
\(608\) | −0.773793 | − | 2.38149i | −0.0313814 | − | 0.0965822i | ||||
\(609\) | 4.24312 | − | 6.20536i | 0.171940 | − | 0.251454i | ||||
\(610\) | −0.207362 | + | 1.02337i | −0.00839585 | + | 0.0414352i | ||||
\(611\) | −5.77150 | + | 5.93874i | −0.233490 | + | 0.240256i | ||||
\(612\) | −1.08609 | − | 4.13190i | −0.0439024 | − | 0.167022i | ||||
\(613\) | −30.4094 | − | 3.48915i | −1.22822 | − | 0.140926i | −0.524507 | − | 0.851406i | \(-0.675750\pi\) |
−0.703717 | + | 0.710481i | \(0.748478\pi\) | |||||||
\(614\) | −2.69229 | + | 1.95606i | −0.108652 | + | 0.0789403i | ||||
\(615\) | 1.60892 | − | 0.472422i | 0.0648780 | − | 0.0190499i | ||||
\(616\) | 6.43218 | − | 4.40325i | 0.259160 | − | 0.177412i | ||||
\(617\) | −30.6598 | − | 9.00252i | −1.23432 | − | 0.362428i | −0.401439 | − | 0.915886i | \(-0.631490\pi\) |
−0.832877 | + | 0.553458i | \(0.813308\pi\) | |||||||
\(618\) | 22.6923 | − | 8.09659i | 0.912817 | − | 0.325693i | ||||
\(619\) | 0.580407 | − | 0.532692i | 0.0233285 | − | 0.0214107i | −0.664426 | − | 0.747354i | \(-0.731324\pi\) |
0.687754 | + | 0.725943i | \(0.258597\pi\) | |||||||
\(620\) | −0.766002 | + | 0.0878906i | −0.0307634 | + | 0.00352977i | ||||
\(621\) | −5.29214 | − | 13.5927i | −0.212366 | − | 0.545458i | ||||
\(622\) | 11.1402 | − | 2.59055i | 0.446683 | − | 0.103872i | ||||
\(623\) | −25.7465 | − | 12.6587i | −1.03151 | − | 0.507160i | ||||
\(624\) | 1.36526 | − | 2.26402i | 0.0546540 | − | 0.0906335i | ||||
\(625\) | 8.91133 | + | 9.16954i | 0.356453 | + | 0.366782i | ||||
\(626\) | 14.8082 | − | 9.51668i | 0.591856 | − | 0.380363i | ||||
\(627\) | 3.85953 | + | 16.5572i | 0.154135 | + | 0.661230i | ||||
\(628\) | −13.5520 | − | 8.70932i | −0.540782 | − | 0.347540i | ||||
\(629\) | 5.54325 | + | 27.3570i | 0.221024 | + | 1.09080i | ||||
\(630\) | 2.39582 | + | 1.01248i | 0.0954517 | + | 0.0403382i | ||||
\(631\) | −7.21108 | − | 6.61827i | −0.287068 | − | 0.263469i | 0.519684 | − | 0.854359i | \(-0.326050\pi\) |
−0.806753 | + | 0.590889i | \(0.798777\pi\) | |||||||
\(632\) | 3.12384 | + | 2.26960i | 0.124259 | + | 0.0902798i | ||||
\(633\) | −40.8004 | − | 14.5576i | −1.62167 | − | 0.578611i | ||||
\(634\) | −3.59738 | + | 1.52027i | −0.142870 | + | 0.0603775i | ||||
\(635\) | 2.30593 | + | 3.37232i | 0.0915082 | + | 0.133826i | ||||
\(636\) | −6.73264 | + | 8.73104i | −0.266967 | + | 0.346208i | ||||
\(637\) | −1.24852 | + | 1.44087i | −0.0494680 | + | 0.0570892i | ||||
\(638\) | −1.17103 | + | 5.04806i | −0.0463617 | + | 0.199854i | ||||
\(639\) | 12.1007 | + | 13.9650i | 0.478698 | + | 0.552446i | ||||
\(640\) | 0.928003 | − | 0.0530652i | 0.0366826 | − | 0.00209758i | ||||
\(641\) | −0.607195 | − | 21.2546i | −0.0239828 | − | 0.839506i | −0.919180 | − | 0.393837i | \(-0.871148\pi\) |
0.895198 | − | 0.445669i | \(-0.147034\pi\) | |||||||
\(642\) | 0.499108 | − | 17.4710i | 0.0196982 | − | 0.689527i | ||||
\(643\) | 47.3664 | + | 2.70851i | 1.86795 | + | 0.106813i | 0.954145 | − | 0.299346i | \(-0.0967685\pi\) |
0.913802 | + | 0.406159i | \(0.133132\pi\) | |||||||
\(644\) | 5.65181 | + | 7.32940i | 0.222713 | + | 0.288819i | ||||
\(645\) | 5.38949 | − | 16.5871i | 0.212211 | − | 0.653118i | ||||
\(646\) | 8.85385 | − | 1.53222i | 0.348350 | − | 0.0602844i | ||||
\(647\) | −5.41517 | − | 3.05809i | −0.212892 | − | 0.120226i | 0.381599 | − | 0.924328i | \(-0.375374\pi\) |
−0.594491 | + | 0.804102i | \(0.702646\pi\) | |||||||
\(648\) | 4.63365 | − | 10.1463i | 0.182027 | − | 0.398583i | ||||
\(649\) | −12.5579 | − | 42.6840i | −0.492941 | − | 1.67549i | ||||
\(650\) | −2.21899 | − | 4.85891i | −0.0870359 | − | 0.190582i | ||||
\(651\) | 0.341518 | − | 3.97622i | 0.0133852 | − | 0.155840i | ||||
\(652\) | 14.2512 | − | 7.00686i | 0.558121 | − | 0.274410i | ||||
\(653\) | −4.32850 | + | 3.53940i | −0.169387 | + | 0.138507i | −0.713906 | − | 0.700241i | \(-0.753076\pi\) |
0.544519 | + | 0.838748i | \(0.316712\pi\) | |||||||
\(654\) | 17.3528 | − | 9.79960i | 0.678550 | − | 0.383195i | ||||
\(655\) | −0.834511 | − | 9.71604i | −0.0326071 | − | 0.379637i | ||||
\(656\) | 0.455073 | + | 0.754654i | 0.0177676 | + | 0.0294643i | ||||
\(657\) | 0.571613 | − | 2.17464i | 0.0223007 | − | 0.0848408i | ||||
\(658\) | 5.46760 | − | 14.0434i | 0.213149 | − | 0.547469i | ||||
\(659\) | 3.97929 | − | 27.6766i | 0.155011 | − | 1.07813i | −0.752650 | − | 0.658421i | \(-0.771225\pi\) |
0.907661 | − | 0.419704i | \(-0.137866\pi\) | |||||||
\(660\) | −6.30843 | − | 0.176846i | −0.245555 | − | 0.00688373i | ||||
\(661\) | −1.79419 | − | 12.4789i | −0.0697860 | − | 0.485372i | −0.994502 | − | 0.104715i | \(-0.966607\pi\) |
0.924716 | − | 0.380657i | \(-0.124302\pi\) | |||||||
\(662\) | −10.0916 | − | 2.34670i | −0.392221 | − | 0.0912070i | ||||
\(663\) | 7.34427 | + | 6.00538i | 0.285228 | + | 0.233230i | ||||
\(664\) | 8.25120 | + | 1.42793i | 0.320209 | + | 0.0554143i | ||||
\(665\) | −2.55286 | + | 4.83820i | −0.0989955 | + | 0.187617i | ||||
\(666\) | 4.32191 | − | 8.19093i | 0.167471 | − | 0.317392i | ||||
\(667\) | −6.06291 | − | 1.04923i | −0.234757 | − | 0.0406262i | ||||
\(668\) | −13.1856 | − | 10.7818i | −0.510165 | − | 0.417160i | ||||
\(669\) | 44.4307 | + | 10.3319i | 1.71779 | + | 0.399455i | ||||
\(670\) | 0.131849 | + | 0.917032i | 0.00509379 | + | 0.0354281i | ||||
\(671\) | 3.72425 | + | 0.104403i | 0.143773 | + | 0.00403044i | ||||
\(672\) | −0.684708 | + | 4.76225i | −0.0264132 | + | 0.183708i | ||||
\(673\) | 9.18259 | − | 23.5853i | 0.353963 | − | 0.909146i | −0.636489 | − | 0.771286i | \(-0.719614\pi\) |
0.990452 | − | 0.137860i | \(-0.0440224\pi\) | |||||||
\(674\) | −5.70853 | + | 21.7175i | −0.219884 | + | 0.836527i | ||||
\(675\) | −7.91115 | − | 13.1192i | −0.304500 | − | 0.504957i | ||||
\(676\) | −0.969739 | − | 11.2905i | −0.0372977 | − | 0.434249i | ||||
\(677\) | −24.9094 | + | 14.0670i | −0.957347 | + | 0.540639i | −0.889439 | − | 0.457053i | \(-0.848905\pi\) |
−0.0679073 | + | 0.997692i | \(0.521632\pi\) | |||||||
\(678\) | 21.7931 | − | 17.8201i | 0.836957 | − | 0.684376i | ||||
\(679\) | −4.05338 | + | 1.99291i | −0.155554 | + | 0.0764809i | ||||
\(680\) | −0.285432 | + | 3.32323i | −0.0109458 | + | 0.127440i | ||||
\(681\) | −4.57581 | − | 10.0196i | −0.175345 | − | 0.383953i | ||||
\(682\) | 0.776487 | + | 2.63926i | 0.0297332 | + | 0.101062i | ||||
\(683\) | −18.3336 | + | 40.1450i | −0.701517 | + | 1.53611i | 0.136606 | + | 0.990625i | \(0.456380\pi\) |
−0.838123 | + | 0.545482i | \(0.816347\pi\) | |||||||
\(684\) | −2.59593 | − | 1.46599i | −0.0992580 | − | 0.0560536i | ||||
\(685\) | −11.1096 | + | 1.92259i | −0.424475 | + | 0.0734583i | ||||
\(686\) | 6.15606 | − | 18.9464i | 0.235039 | − | 0.723377i | ||||
\(687\) | −18.2431 | − | 23.6581i | −0.696017 | − | 0.902611i | ||||
\(688\) | 9.15083 | + | 0.523263i | 0.348872 | + | 0.0199492i | ||||
\(689\) | 0.198632 | − | 6.95302i | 0.00756727 | − | 0.264889i | ||||
\(690\) | −0.213980 | − | 7.49027i | −0.00814607 | − | 0.285150i | ||||
\(691\) | −29.5044 | + | 1.68712i | −1.12240 | + | 0.0641812i | −0.608417 | − | 0.793618i | \(-0.708195\pi\) |
−0.513985 | + | 0.857799i | \(0.671831\pi\) | |||||||
\(692\) | −6.04805 | − | 6.97982i | −0.229912 | − | 0.265333i | ||||
\(693\) | 2.09719 | − | 9.04049i | 0.0796656 | − | 0.343420i | ||||
\(694\) | −18.7456 | + | 21.6335i | −0.711572 | + | 0.821198i | ||||
\(695\) | −3.37985 | + | 4.38307i | −0.128205 | + | 0.166259i | ||||
\(696\) | −1.80537 | − | 2.64028i | −0.0684325 | − | 0.100079i | ||||
\(697\) | −2.91282 | + | 1.23097i | −0.110331 | + | 0.0466262i | ||||
\(698\) | 32.7203 | + | 11.6746i | 1.23848 | + | 0.441889i | ||||
\(699\) | −5.64654 | − | 4.10245i | −0.213572 | − | 0.155169i | ||||
\(700\) | 7.16164 | + | 6.57290i | 0.270685 | + | 0.248432i | ||||
\(701\) | 19.9731 | + | 8.44069i | 0.754372 | + | 0.318800i | 0.732324 | − | 0.680956i | \(-0.238436\pi\) |
0.0220486 | + | 0.999757i | \(0.492981\pi\) | |||||||
\(702\) | 0.950008 | + | 4.68847i | 0.0358557 | + | 0.176955i | ||||
\(703\) | 16.3862 | + | 10.5308i | 0.618017 | + | 0.397175i | ||||
\(704\) | −0.752930 | − | 3.23003i | −0.0283771 | − | 0.121736i | ||||
\(705\) | −10.2642 | + | 6.59639i | −0.386572 | + | 0.248435i | ||||
\(706\) | 14.4768 | + | 14.8962i | 0.544841 | + | 0.560628i | ||||
\(707\) | −6.09495 | + | 10.1073i | −0.229224 | + | 0.380125i | ||||
\(708\) | 24.6443 | + | 12.1168i | 0.926191 | + | 0.455378i | ||||
\(709\) | −5.85954 | + | 1.36258i | −0.220060 | + | 0.0511727i | −0.335077 | − | 0.942191i | \(-0.608762\pi\) |
0.115017 | + | 0.993364i | \(0.463308\pi\) | |||||||
\(710\) | −5.23405 | − | 13.4435i | −0.196430 | − | 0.504527i | ||||
\(711\) | 4.56720 | − | 0.524037i | 0.171283 | − | 0.0196529i | ||||
\(712\) | −8.99352 | + | 8.25418i | −0.337047 | + | 0.309339i | ||||
\(713\) | −3.07659 | + | 1.09773i | −0.115219 | + | 0.0411101i | ||||
\(714\) | −16.5651 | − | 4.86396i | −0.619934 | − | 0.182029i | ||||
\(715\) | 3.28542 | − | 2.24909i | 0.122868 | − | 0.0841112i | ||||
\(716\) | 16.7422 | − | 4.91597i | 0.625687 | − | 0.183718i | ||||
\(717\) | 39.3804 | − | 28.6115i | 1.47069 | − | 1.06852i | ||||
\(718\) | −24.8786 | − | 2.85455i | −0.928459 | − | 0.106531i | ||||
\(719\) | −11.8450 | − | 45.0630i | −0.441743 | − | 1.68057i | −0.699722 | − | 0.714415i | \(-0.746693\pi\) |
0.257979 | − | 0.966151i | \(-0.416944\pi\) | |||||||
\(720\) | 0.771280 | − | 0.793628i | 0.0287439 | − | 0.0295768i | ||||
\(721\) | 5.49336 | − | 27.1108i | 0.204583 | − | 1.00966i | ||||
\(722\) | −7.18522 | + | 10.5081i | −0.267406 | + | 0.391069i | ||||
\(723\) | −16.6216 | − | 51.1560i | −0.618163 | − | 1.90251i | ||||
\(724\) | −1.16848 | − | 2.21452i | −0.0434263 | − | 0.0823020i | ||||
\(725\) | −6.46234 | −0.240005 | ||||||||
\(726\) | 3.22845 | + | 22.2854i | 0.119819 | + | 0.827088i | ||||
\(727\) | 28.6303 | 1.06184 | 0.530919 | − | 0.847422i | \(-0.321847\pi\) | ||||
0.530919 | + | 0.847422i | \(0.321847\pi\) | |||||||
\(728\) | −1.41651 | − | 2.68458i | −0.0524992 | − | 0.0994971i | ||||
\(729\) | 2.92561 | + | 9.00409i | 0.108356 | + | 0.333485i | ||||
\(730\) | −0.990864 | + | 1.44909i | −0.0366735 | + | 0.0536333i | ||||
\(731\) | −6.53169 | + | 32.2352i | −0.241583 | + | 1.19226i | ||||
\(732\) | −1.60267 | + | 1.64911i | −0.0592364 | + | 0.0609528i | ||||
\(733\) | −8.24719 | − | 31.3756i | −0.304617 | − | 1.15888i | −0.926660 | − | 0.375900i | \(-0.877333\pi\) |
0.622043 | − | 0.782983i | \(-0.286303\pi\) | |||||||
\(734\) | 30.5235 | + | 3.50225i | 1.12664 | + | 0.129270i | ||||
\(735\) | −2.27251 | + | 1.65108i | −0.0838228 | + | 0.0609008i | ||||
\(736\) | 3.77851 | − | 1.10947i | 0.139278 | − | 0.0408956i | ||||
\(737\) | 3.14338 | − | 1.02320i | 0.115788 | − | 0.0376901i | ||||
\(738\) | 1.00670 | + | 0.295593i | 0.0370570 | + | 0.0108809i | ||||
\(739\) | 3.19725 | − | 1.14078i | 0.117613 | − | 0.0419641i | −0.276587 | − | 0.960989i | \(-0.589204\pi\) |
0.394200 | + | 0.919025i | \(0.371022\pi\) | |||||||
\(740\) | −5.32699 | + | 4.88907i | −0.195824 | + | 0.179726i | ||||
\(741\) | 6.57707 | − | 0.754649i | 0.241615 | − | 0.0277227i | ||||
\(742\) | 4.59253 | + | 11.7958i | 0.168597 | + | 0.433038i | ||||
\(743\) | 24.7477 | − | 5.75483i | 0.907905 | − | 0.211124i | 0.253559 | − | 0.967320i | \(-0.418399\pi\) |
0.654346 | + | 0.756195i | \(0.272944\pi\) | |||||||
\(744\) | −1.52382 | − | 0.749213i | −0.0558660 | − | 0.0274675i | ||||
\(745\) | −9.23865 | + | 15.3206i | −0.338478 | + | 0.561303i | ||||
\(746\) | −12.7281 | − | 13.0969i | −0.466007 | − | 0.479510i | ||||
\(747\) | 8.38709 | − | 5.39006i | 0.306868 | − | 0.197212i | ||||
\(748\) | 11.8571 | − | 1.02478i | 0.433538 | − | 0.0374698i | ||||
\(749\) | −16.8812 | − | 10.8489i | −0.616826 | − | 0.396410i | ||||
\(750\) | −3.45231 | − | 17.0378i | −0.126061 | − | 0.622133i | ||||
\(751\) | −3.21128 | − | 1.35710i | −0.117181 | − | 0.0495212i | 0.329891 | − | 0.944019i | \(-0.392988\pi\) |
−0.447072 | + | 0.894498i | \(0.647533\pi\) | |||||||
\(752\) | −4.72408 | − | 4.33572i | −0.172269 | − | 0.158107i | ||||
\(753\) | 43.2591 | + | 31.4296i | 1.57645 | + | 1.14536i | ||||
\(754\) | 1.90056 | + | 0.678119i | 0.0692144 | + | 0.0246956i | ||||
\(755\) | 15.7006 | − | 6.63512i | 0.571402 | − | 0.241477i | ||||
\(756\) | −4.91376 | − | 7.18615i | −0.178712 | − | 0.261358i | ||||
\(757\) | 1.24792 | − | 1.61833i | 0.0453564 | − | 0.0588192i | −0.768678 | − | 0.639636i | \(-0.779085\pi\) |
0.814034 | + | 0.580817i | \(0.197267\pi\) | |||||||
\(758\) | 20.3200 | − | 23.4506i | 0.738056 | − | 0.851762i | ||||
\(759\) | −26.2016 | + | 5.32370i | −0.951058 | + | 0.193238i | ||||
\(760\) | 1.52423 | + | 1.75905i | 0.0552895 | + | 0.0638075i | ||||
\(761\) | 29.1909 | − | 1.66920i | 1.05817 | − | 0.0605083i | 0.480671 | − | 0.876901i | \(-0.340393\pi\) |
0.577497 | + | 0.816393i | \(0.304029\pi\) | |||||||
\(762\) | 0.256923 | + | 8.99349i | 0.00930735 | + | 0.325800i | ||||
\(763\) | 0.653368 | − | 22.8709i | 0.0236535 | − | 0.827981i | ||||
\(764\) | 4.90870 | + | 0.280690i | 0.177591 | + | 0.0101550i | ||||
\(765\) | 2.42497 | + | 3.14476i | 0.0876751 | + | 0.113699i | ||||
\(766\) | −4.82900 | + | 14.8621i | −0.174479 | + | 0.536991i | ||||
\(767\) | −17.0718 | + | 2.95440i | −0.616428 | + | 0.106677i | ||||
\(768\) | 1.78250 | + | 1.00662i | 0.0643203 | + | 0.0363234i | ||||
\(769\) | −7.56899 | + | 16.5738i | −0.272945 | + | 0.597666i | −0.995617 | − | 0.0935252i | \(-0.970186\pi\) |
0.722672 | + | 0.691191i | \(0.242914\pi\) | |||||||
\(770\) | −3.91400 | + | 6.09746i | −0.141051 | + | 0.219737i | ||||
\(771\) | −6.95099 | − | 15.2205i | −0.250334 | − | 0.548155i | ||||
\(772\) | 1.39323 | − | 16.2211i | 0.0501435 | − | 0.583811i | ||||
\(773\) | −0.0371290 | + | 0.0182551i | −0.00133544 | + | 0.000656591i | −0.441889 | − | 0.897070i | \(-0.645691\pi\) |
0.440553 | + | 0.897726i | \(0.354782\pi\) | |||||||
\(774\) | 8.44791 | − | 6.90783i | 0.303654 | − | 0.248297i | ||||
\(775\) | −2.98733 | + | 1.68702i | −0.107308 | + | 0.0605996i | ||||
\(776\) | 0.164460 | + | 1.91478i | 0.00590378 | + | 0.0687364i | ||||
\(777\) | −19.3263 | − | 32.0490i | −0.693326 | − | 1.14975i | ||||
\(778\) | −6.58422 | + | 25.0490i | −0.236056 | + | 0.898049i | ||||
\(779\) | −0.800601 | + | 2.05633i | −0.0286845 | + | 0.0736756i | ||||
\(780\) | −0.349735 | + | 2.43246i | −0.0125225 | + | 0.0870960i | ||||
\(781\) | −44.0667 | + | 26.6053i | −1.57683 | + | 0.952011i | ||||
\(782\) | 2.01107 | + | 13.9873i | 0.0719156 | + | 0.500184i | ||||
\(783\) | 5.63702 | + | 1.31083i | 0.201451 | + | 0.0468454i | ||||
\(784\) | −1.14281 | − | 0.934469i | −0.0408145 | − | 0.0333739i | ||||
\(785\) | 14.7546 | + | 2.55338i | 0.526613 | + | 0.0911339i | ||||
\(786\) | 10.0224 | − | 18.9946i | 0.357487 | − | 0.677513i | ||||
\(787\) | −1.56186 | + | 2.96005i | −0.0556742 | + | 0.105514i | −0.910695 | − | 0.413079i | \(-0.864453\pi\) |
0.855021 | + | 0.518594i | \(0.173544\pi\) | |||||||
\(788\) | 15.5118 | + | 2.68443i | 0.552586 | + | 0.0956288i | ||||
\(789\) | 35.8851 | + | 29.3431i | 1.27754 | + | 1.04464i | ||||
\(790\) | −3.49585 | − | 0.812926i | −0.124377 | − | 0.0289226i | ||||
\(791\) | −4.59969 | − | 31.9915i | −0.163546 | − | 1.13749i | ||||
\(792\) | −3.26074 | − | 2.22709i | −0.115866 | − | 0.0791361i | ||||
\(793\) | 0.206470 | − | 1.43603i | 0.00733195 | − | 0.0509948i | ||||
\(794\) | −8.56281 | + | 21.9934i | −0.303883 | + | 0.780517i | ||||
\(795\) | 2.60531 | − | 9.91164i | 0.0924009 | − | 0.351530i | ||||
\(796\) | −5.56467 | − | 9.22798i | −0.197235 | − | 0.327077i | ||||
\(797\) | 2.76295 | + | 32.1685i | 0.0978688 | + | 1.13947i | 0.866297 | + | 0.499530i | \(0.166494\pi\) |
−0.768428 | + | 0.639936i | \(0.778961\pi\) | |||||||
\(798\) | −10.4903 | + | 5.92416i | −0.371354 | + | 0.209713i | ||||
\(799\) | 17.8123 | − | 14.5651i | 0.630154 | − | 0.515275i | ||||
\(800\) | 3.71163 | − | 1.82489i | 0.131226 | − | 0.0645195i | ||||
\(801\) | −1.24372 | + | 14.4803i | −0.0439446 | + | 0.511638i | ||||
\(802\) | 12.5912 | + | 27.5708i | 0.444609 | + | 0.973559i | ||||
\(803\) | 5.69906 | + | 2.59900i | 0.201116 | + | 0.0917166i | ||||
\(804\) | −0.847596 | + | 1.85598i | −0.0298924 | + | 0.0654552i | ||||
\(805\) | −7.49112 | − | 4.23043i | −0.264027 | − | 0.149103i | ||||
\(806\) | 1.05559 | − | 0.182678i | 0.0371817 | − | 0.00643455i | ||||
\(807\) | 11.3916 | − | 35.0598i | 0.401003 | − | 1.23416i | ||||
\(808\) | 3.06661 | + | 3.97685i | 0.107883 | + | 0.139905i | ||||
\(809\) | −55.3441 | − | 3.16469i | −1.94580 | − | 0.111265i | −0.960085 | − | 0.279709i | \(-0.909762\pi\) |
−0.985711 | + | 0.168444i | \(0.946126\pi\) | |||||||
\(810\) | −0.296072 | + | 10.3639i | −0.0104029 | + | 0.364149i | ||||
\(811\) | −1.31674 | − | 46.0918i | −0.0462369 | − | 1.61850i | −0.609887 | − | 0.792488i | \(-0.708785\pi\) |
0.563651 | − | 0.826013i | \(-0.309396\pi\) | |||||||
\(812\) | −3.66622 | + | 0.209642i | −0.128659 | + | 0.00735700i | ||||
\(813\) | 22.1805 | + | 25.5977i | 0.777906 | + | 0.897751i | ||||
\(814\) | 20.4388 | + | 15.7433i | 0.716379 | + | 0.551801i | ||||
\(815\) | −9.66662 | + | 11.1559i | −0.338607 | + | 0.390773i | ||||
\(816\) | −4.48565 | + | 5.81710i | −0.157029 | + | 0.203639i | ||||
\(817\) | 12.9548 | + | 18.9459i | 0.453232 | + | 0.662831i | ||||
\(818\) | 9.31456 | − | 3.93637i | 0.325676 | − | 0.137632i | ||||
\(819\) | −3.40369 | − | 1.21443i | −0.118935 | − | 0.0424358i | ||||
\(820\) | −0.662695 | − | 0.481476i | −0.0231423 | − | 0.0168139i | ||||
\(821\) | −37.8478 | − | 34.7364i | −1.32090 | − | 1.21231i | −0.960098 | − | 0.279663i | \(-0.909777\pi\) |
−0.360798 | − | 0.932644i | \(-0.617496\pi\) | |||||||
\(822\) | −22.8719 | − | 9.66573i | −0.797748 | − | 0.337131i | ||||
\(823\) | −5.13308 | − | 25.3327i | −0.178928 | − | 0.883043i | −0.964461 | − | 0.264224i | \(-0.914884\pi\) |
0.785533 | − | 0.618819i | \(-0.212389\pi\) | |||||||
\(824\) | −9.90122 | − | 6.36313i | −0.344925 | − | 0.221670i | ||||
\(825\) | −26.1623 | + | 10.2020i | −0.910854 | + | 0.355188i | ||||
\(826\) | 26.5240 | − | 17.0460i | 0.922889 | − | 0.593105i | ||||
\(827\) | −1.03241 | − | 1.06232i | −0.0359003 | − | 0.0369406i | 0.698944 | − | 0.715177i | \(-0.253654\pi\) |
−0.734844 | + | 0.678236i | \(0.762745\pi\) | |||||||
\(828\) | 2.42116 | − | 4.01504i | 0.0841410 | − | 0.139532i | ||||
\(829\) | 35.7462 | + | 17.5752i | 1.24152 | + | 0.610412i | 0.939388 | − | 0.342855i | \(-0.111394\pi\) |
0.302128 | + | 0.953268i | \(0.402303\pi\) | |||||||
\(830\) | −7.58137 | + | 1.76297i | −0.263153 | + | 0.0611937i | ||||
\(831\) | 4.67456 | + | 12.0065i | 0.162159 | + | 0.416501i | ||||
\(832\) | −1.28308 | + | 0.147219i | −0.0444827 | + | 0.00510392i | ||||
\(833\) | 3.90270 | − | 3.58187i | 0.135221 | − | 0.124104i | ||||
\(834\) | −11.4806 | + | 4.09627i | −0.397540 | + | 0.141842i | ||||
\(835\) | 15.1907 | + | 4.46041i | 0.525697 | + | 0.154359i | ||||
\(836\) | 5.25372 | − | 6.43204i | 0.181704 | − | 0.222457i | ||||
\(837\) | 2.94801 | − | 0.865615i | 0.101898 | − | 0.0299200i | ||||
\(838\) | −7.27615 | + | 5.28643i | −0.251351 | + | 0.182617i | ||||
\(839\) | −6.23759 | − | 0.715696i | −0.215345 | − | 0.0247086i | 0.00564727 | − | 0.999984i | \(-0.498202\pi\) |
−0.220993 | + | 0.975275i | \(0.570930\pi\) | |||||||
\(840\) | −1.13690 | − | 4.32520i | −0.0392266 | − | 0.149234i | ||||
\(841\) | −18.5098 | + | 19.0461i | −0.638268 | + | 0.656762i | ||||
\(842\) | −1.99463 | + | 9.84389i | −0.0687395 | + | 0.339243i | ||||
\(843\) | −18.9204 | + | 27.6702i | −0.651653 | + | 0.953012i | ||||
\(844\) | 6.53929 | + | 20.1259i | 0.225092 | + | 0.692761i | ||||
\(845\) | 4.91557 | + | 9.31604i | 0.169101 | + | 0.320482i | ||||
\(846\) | −7.63417 | −0.262468 | ||||||||
\(847\) | 23.8245 | + | 10.0384i | 0.818621 | + | 0.344922i | ||||
\(848\) | 5.38589 | 0.184952 | ||||||||
\(849\) | 26.2727 | + | 49.7922i | 0.901676 | + | 1.70887i | ||||
\(850\) | 4.58627 | + | 14.1151i | 0.157308 | + | 0.484144i | ||||
\(851\) | −17.2905 | + | 25.2866i | −0.592711 | + | 0.866812i | ||||
\(852\) | 6.30955 | − | 31.1389i | 0.216162 | − | 1.06680i | ||||
\(853\) | 6.24637 | − | 6.42736i | 0.213872 | − | 0.220069i | −0.601704 | − | 0.798719i | \(-0.705511\pi\) |
0.815576 | + | 0.578650i | \(0.196420\pi\) | |||||||
\(854\) | 0.671178 | + | 2.55343i | 0.0229672 | + | 0.0873764i | ||||
\(855\) | 2.75309 | + | 0.315888i | 0.0941537 | + | 0.0108031i | ||||
\(856\) | −6.90743 | + | 5.01854i | −0.236091 | + | 0.171530i | ||||
\(857\) | −4.19044 | + | 1.23042i | −0.143143 | + | 0.0420305i | −0.352519 | − | 0.935805i | \(-0.614675\pi\) |
0.209376 | + | 0.977835i | \(0.432857\pi\) | |||||||
\(858\) | 8.76482 | − | 0.255074i | 0.299226 | − | 0.00870810i | ||||
\(859\) | −46.9665 | − | 13.7906i | −1.60248 | − | 0.470529i | −0.646242 | − | 0.763133i | \(-0.723660\pi\) |
−0.956234 | + | 0.292604i | \(0.905478\pi\) | |||||||
\(860\) | −8.02430 | + | 2.86306i | −0.273626 | + | 0.0976297i | ||||
\(861\) | 3.12369 | − | 2.86689i | 0.106455 | − | 0.0977035i | ||||
\(862\) | −23.7789 | + | 2.72837i | −0.809912 | + | 0.0929287i | ||||
\(863\) | 17.5128 | + | 44.9813i | 0.596143 | + | 1.53118i | 0.829336 | + | 0.558750i | \(0.188719\pi\) |
−0.233193 | + | 0.972431i | \(0.574917\pi\) | |||||||
\(864\) | −3.60778 | + | 0.838953i | −0.122739 | + | 0.0285418i | ||||
\(865\) | 7.70389 | + | 3.78775i | 0.261940 | + | 0.128787i | ||||
\(866\) | 13.0535 | − | 21.6467i | 0.443575 | − | 0.735586i | ||||
\(867\) | 5.88307 | + | 6.05354i | 0.199800 | + | 0.205589i | ||||
\(868\) | −1.64005 | + | 1.05399i | −0.0556669 | + | 0.0357749i | ||||
\(869\) | −0.724275 | + | 12.7859i | −0.0245693 | + | 0.433732i | ||||
\(870\) | 2.50111 | + | 1.60736i | 0.0847955 | + | 0.0544948i | ||||
\(871\) | −0.255635 | − | 1.26161i | −0.00866187 | − | 0.0427480i | ||||
\(872\) | −8.96726 | − | 3.78959i | −0.303670 | − | 0.128332i | ||||
\(873\) | 1.68573 | + | 1.54715i | 0.0570534 | + | 0.0523631i | ||||
\(874\) | 7.97772 | + | 5.79615i | 0.269850 | + | 0.196058i | ||||
\(875\) | −18.7980 | − | 6.70711i | −0.635488 | − | 0.226742i | ||||
\(876\) | −3.56115 | + | 1.50496i | −0.120320 | + | 0.0508478i | ||||
\(877\) | 0.741112 | + | 1.08384i | 0.0250256 | + | 0.0365988i | 0.837782 | − | 0.546005i | \(-0.183852\pi\) |
−0.812756 | + | 0.582604i | \(0.802034\pi\) | |||||||
\(878\) | 14.6014 | − | 18.9355i | 0.492775 | − | 0.639042i | ||||
\(879\) | −3.72732 | + | 4.30155i | −0.125719 | + | 0.145088i | ||||
\(880\) | 1.81340 | + | 2.49312i | 0.0611295 | + | 0.0840432i | ||||
\(881\) | 10.4652 | + | 12.0775i | 0.352581 | + | 0.406900i | 0.904140 | − | 0.427235i | \(-0.140512\pi\) |
−0.551559 | + | 0.834136i | \(0.685967\pi\) | |||||||
\(882\) | −1.75470 | + | 0.100337i | −0.0590839 | + | 0.00337854i | ||||
\(883\) | 0.165805 | + | 5.80395i | 0.00557980 | + | 0.195318i | 0.997600 | + | 0.0692398i | \(0.0220574\pi\) |
−0.992020 | + | 0.126079i | \(0.959761\pi\) | |||||||
\(884\) | 0.132339 | − | 4.63248i | 0.00445105 | − | 0.155807i | ||||
\(885\) | −25.4848 | − | 1.45727i | −0.856663 | − | 0.0489858i | ||||
\(886\) | −5.51385 | − | 7.15049i | −0.185242 | − | 0.240226i | ||||
\(887\) | 16.3115 | − | 50.2017i | 0.547687 | − | 1.68561i | −0.166826 | − | 0.985986i | \(-0.553352\pi\) |
0.714513 | − | 0.699622i | \(-0.246648\pi\) | |||||||
\(888\) | −15.6905 | + | 2.71536i | −0.526540 | + | 0.0911214i | ||||
\(889\) | 8.99451 | + | 5.07944i | 0.301666 | + | 0.170359i | ||||
\(890\) | 4.71363 | − | 10.3214i | 0.158001 | − | 0.345975i | ||||
\(891\) | 36.6151 | − | 5.28442i | 1.22665 | − | 0.177035i | ||||
\(892\) | −9.25687 | − | 20.2697i | −0.309943 | − | 0.678680i | ||||
\(893\) | 1.37401 | − | 15.9974i | 0.0459796 | − | 0.535331i | ||||
\(894\) | −35.3581 | + | 17.3844i | −1.18255 | + | 0.581421i | ||||
\(895\) | −12.5560 | + | 10.2670i | −0.419700 | + | 0.343187i | ||||
\(896\) | 2.04649 | − | 1.15571i | 0.0683684 | − | 0.0386094i | ||||
\(897\) | 0.890956 | + | 10.3732i | 0.0297481 | + | 0.346351i | ||||
\(898\) | −1.18135 | − | 1.95906i | −0.0394223 | − | 0.0653745i | ||||
\(899\) | 0.329479 | − | 1.25347i | 0.0109888 | − | 0.0418056i | ||||
\(900\) | 1.78655 | − | 4.58873i | 0.0595518 | − | 0.152958i | ||||
\(901\) | −2.75046 | + | 19.1299i | −0.0916311 | + | 0.637308i | ||||
\(902\) | −1.28818 | + | 2.62357i | −0.0428918 | + | 0.0873554i | ||||
\(903\) | −6.27588 | − | 43.6497i | −0.208848 | − | 1.45257i | ||||
\(904\) | −13.3944 | − | 3.11474i | −0.445493 | − | 0.103595i | ||||
\(905\) | 1.80175 | + | 1.47328i | 0.0598921 | + | 0.0489735i | ||||
\(906\) | 36.9886 | + | 6.40114i | 1.22887 | + | 0.212664i | ||||
\(907\) | 18.1434 | − | 34.3855i | 0.602441 | − | 1.14175i | −0.374296 | − | 0.927309i | \(-0.622116\pi\) |
0.976737 | − | 0.214443i | \(-0.0687935\pi\) | |||||||
\(908\) | −2.51105 | + | 4.75897i | −0.0833322 | + | 0.157932i | ||||
\(909\) | 5.89142 | + | 1.01955i | 0.195406 | + | 0.0338163i | ||||
\(910\) | 2.18419 | + | 1.78600i | 0.0724051 | + | 0.0592054i | ||||
\(911\) | −26.9830 | − | 6.27463i | −0.893987 | − | 0.207888i | −0.245756 | − | 0.969332i | \(-0.579036\pi\) |
−0.648231 | + | 0.761444i | \(0.724491\pi\) | |||||||
\(912\) | 0.729508 | + | 5.07384i | 0.0241564 | + | 0.168012i | ||||
\(913\) | 10.8248 | + | 25.5765i | 0.358249 | + | 0.846459i | ||||
\(914\) | 0.887727 | − | 6.17428i | 0.0293634 | − | 0.204227i | ||||
\(915\) | 0.775506 | − | 1.99187i | 0.0256374 | − | 0.0658492i | ||||
\(916\) | −3.71003 | + | 14.1144i | −0.122583 | + | 0.466353i | ||||
\(917\) | −12.7329 | − | 21.1152i | −0.420479 | − | 0.697286i | ||||
\(918\) | −1.13742 | − | 13.2427i | −0.0375404 | − | 0.437075i | ||||
\(919\) | 6.45874 | − | 3.64742i | 0.213054 | − | 0.120317i | −0.381512 | − | 0.924364i | \(-0.624597\pi\) |
0.594566 | + | 0.804047i | \(0.297324\pi\) | |||||||
\(920\) | −2.83373 | + | 2.31713i | −0.0934251 | + | 0.0763934i | ||||
\(921\) | 6.11346 | − | 3.00579i | 0.201445 | − | 0.0990440i | ||||
\(922\) | 1.30729 | − | 15.2205i | 0.0430533 | − | 0.501261i | ||||
\(923\) | 8.32680 | + | 18.2331i | 0.274080 | + | 0.600151i | ||||
\(924\) | −14.5115 | + | 6.63653i | −0.477392 | + | 0.218326i | ||||
\(925\) | −13.3651 | + | 29.2654i | −0.439440 | + | 0.962240i | ||||
\(926\) | −29.0347 | − | 16.3967i | −0.954140 | − | 0.538828i | ||||
\(927\) | −13.8075 | + | 2.38947i | −0.453496 | + | 0.0784806i | ||||
\(928\) | −0.482828 | + | 1.48599i | −0.0158496 | + | 0.0487800i | ||||
\(929\) | 0.974810 | + | 1.26416i | 0.0319825 | + | 0.0414756i | 0.807622 | − | 0.589701i | \(-0.200754\pi\) |
−0.775639 | + | 0.631176i | \(0.782572\pi\) | |||||||
\(930\) | 1.57579 | + | 0.0901070i | 0.0516722 | + | 0.00295472i | ||||
\(931\) | 0.105558 | − | 3.69503i | 0.00345954 | − | 0.121100i | ||||
\(932\) | 0.0973611 | + | 3.40808i | 0.00318917 | + | 0.111636i | ||||
\(933\) | −23.3754 | + | 1.33665i | −0.765275 | + | 0.0437600i | ||||
\(934\) | 2.54628 | + | 2.93856i | 0.0833167 | + | 0.0961526i | ||||
\(935\) | −9.78127 | + | 5.16772i | −0.319882 | + | 0.169003i | ||||
\(936\) | −1.00694 | + | 1.16207i | −0.0329127 | + | 0.0379833i | ||||
\(937\) | 18.9773 | − | 24.6102i | 0.619960 | − | 0.803979i | −0.372306 | − | 0.928110i | \(-0.621433\pi\) |
0.992266 | + | 0.124132i | \(0.0396145\pi\) | |||||||
\(938\) | 1.32223 | + | 1.93370i | 0.0431724 | + | 0.0631376i | ||||
\(939\) | −33.1919 | + | 14.0270i | −1.08318 | + | 0.457754i | ||||
\(940\) | 5.61358 | + | 2.00292i | 0.183095 | + | 0.0653280i | ||||
\(941\) | 1.26293 | + | 0.917569i | 0.0411702 | + | 0.0299119i | 0.608180 | − | 0.793799i | \(-0.291900\pi\) |
−0.567010 | + | 0.823711i | \(0.691900\pi\) | |||||||
\(942\) | 24.2956 | + | 22.2983i | 0.791593 | + | 0.726518i | ||||
\(943\) | −3.19664 | − | 1.35091i | −0.104097 | − | 0.0439918i | ||||
\(944\) | −2.66412 | − | 13.1479i | −0.0867096 | − | 0.427929i | ||||
\(945\) | 6.80737 | + | 4.37483i | 0.221444 | + | 0.142313i | ||||
\(946\) | 14.9625 | + | 26.4622i | 0.486474 | + | 0.860361i | ||||
\(947\) | 32.6514 | − | 20.9838i | 1.06103 | − | 0.681882i | 0.110930 | − | 0.993828i | \(-0.464617\pi\) |
0.950100 | + | 0.311946i | \(0.100981\pi\) | |||||||
\(948\) | −5.50886 | − | 5.66848i | −0.178919 | − | 0.184104i | ||||
\(949\) | 1.25954 | − | 2.08872i | 0.0408865 | − | 0.0678026i | ||||
\(950\) | 9.29410 | + | 4.56960i | 0.301541 | + | 0.148258i | ||||
\(951\) | 7.78700 | − | 1.81079i | 0.252511 | − | 0.0587188i | ||||
\(952\) | 3.05979 | + | 7.85902i | 0.0991685 | + | 0.254712i | ||||
\(953\) | 26.9381 | − | 3.09086i | 0.872610 | − | 0.100123i | 0.333894 | − | 0.942610i | \(-0.391637\pi\) |
0.538715 | + | 0.842488i | \(0.318910\pi\) | |||||||
\(954\) | 4.72424 | − | 4.33587i | 0.152953 | − | 0.140379i | ||||
\(955\) | −4.30440 | + | 1.53581i | −0.139287 | + | 0.0496976i | ||||
\(956\) | −22.8153 | − | 6.69919i | −0.737901 | − | 0.216667i | ||||
\(957\) | 4.12425 | − | 9.77370i | 0.133318 | − | 0.315939i | ||||
\(958\) | 16.8968 | − | 4.96134i | 0.545910 | − | 0.160294i | ||||
\(959\) | −23.0633 | + | 16.7565i | −0.744754 | + | 0.541095i | ||||
\(960\) | −1.89041 | − | 0.216904i | −0.0610127 | − | 0.00700055i | ||||
\(961\) | 7.70585 | + | 29.3161i | 0.248576 | + | 0.945681i | ||||
\(962\) | 7.00157 | − | 7.20445i | 0.225740 | − | 0.232281i | ||||
\(963\) | −2.01872 | + | 9.96279i | −0.0650525 | + | 0.321047i | ||||
\(964\) | −14.8311 | + | 21.6898i | −0.477677 | + | 0.698581i | ||||
\(965\) | 4.67646 | + | 14.3927i | 0.150541 | + | 0.463316i | ||||
\(966\) | −8.84182 | − | 16.7571i | −0.284481 | − | 0.539151i | ||||
\(967\) | 14.7514 | 0.474373 | 0.237187 | − | 0.971464i | \(-0.423775\pi\) | ||||
0.237187 | + | 0.971464i | \(0.423775\pi\) | |||||||
\(968\) | 7.65788 | − | 7.89663i | 0.246134 | − | 0.253807i | ||||
\(969\) | −18.3941 | −0.590902 | ||||||||
\(970\) | −0.833642 | − | 1.57993i | −0.0267666 | − | 0.0507284i | ||||
\(971\) | −9.81316 | − | 30.2018i | −0.314919 | − | 0.969222i | −0.975788 | − | 0.218720i | \(-0.929812\pi\) |
0.660868 | − | 0.750502i | \(-0.270188\pi\) | |||||||
\(972\) | −6.61622 | + | 9.67591i | −0.212215 | + | 0.310355i | ||||
\(973\) | −2.77923 | + | 13.7160i | −0.0890980 | + | 0.439716i | ||||
\(974\) | −13.2264 | + | 13.6096i | −0.423801 | + | 0.436081i | ||||
\(975\) | 2.77982 | + | 10.5755i | 0.0890256 | + | 0.338688i | ||||
\(976\) | 1.11602 | + | 0.128052i | 0.0357230 | + | 0.00409883i | ||||
\(977\) | −3.52028 | + | 2.55763i | −0.112624 | + | 0.0818259i | −0.642671 | − | 0.766142i | \(-0.722174\pi\) |
0.530048 | + | 0.847968i | \(0.322174\pi\) | |||||||
\(978\) | −31.1922 | + | 9.15886i | −0.997417 | + | 0.292868i | ||||
\(979\) | −39.1620 | − | 10.2715i | −1.25162 | − | 0.328279i | ||||
\(980\) | 1.31660 | + | 0.386588i | 0.0420571 | + | 0.0123491i | ||||
\(981\) | −10.9164 | + | 3.89497i | −0.348535 | + | 0.124357i | ||||
\(982\) | −11.8476 | + | 10.8737i | −0.378073 | + | 0.346993i | ||||
\(983\) | −14.1880 | + | 1.62792i | −0.452527 | + | 0.0519226i | −0.337259 | − | 0.941412i | \(-0.609500\pi\) |
−0.115268 | + | 0.993334i | \(0.536773\pi\) | |||||||
\(984\) | −0.654502 | − | 1.68107i | −0.0208648 | − | 0.0535907i | ||||
\(985\) | −14.2526 | + | 3.31430i | −0.454125 | + | 0.105602i | ||||
\(986\) | −5.03145 | − | 2.47380i | −0.160234 | − | 0.0787817i | ||||
\(987\) | −15.9309 | + | 26.4185i | −0.507087 | + | 0.840910i | ||||
\(988\) | −2.25387 | − | 2.31918i | −0.0717052 | − | 0.0737829i | ||||
\(989\) | −30.3651 | + | 19.5145i | −0.965555 | + | 0.620524i | ||||
\(990\) | 3.59769 | + | 0.726987i | 0.114342 | + | 0.0231052i | ||||
\(991\) | −17.5027 | − | 11.2483i | −0.555990 | − | 0.357313i | 0.232274 | − | 0.972650i | \(-0.425383\pi\) |
−0.788264 | + | 0.615337i | \(0.789020\pi\) | |||||||
\(992\) | 0.164729 | + | 0.812970i | 0.00523015 | + | 0.0258118i | ||||
\(993\) | 19.5367 | + | 8.25626i | 0.619977 | + | 0.262005i | ||||
\(994\) | −26.8742 | − | 24.6649i | −0.852398 | − | 0.782324i | ||||
\(995\) | 8.10348 | + | 5.88753i | 0.256898 | + | 0.186647i | ||||
\(996\) | −16.1451 | − | 5.76057i | −0.511578 | − | 0.182531i | ||||
\(997\) | −45.3965 | + | 19.1847i | −1.43772 | + | 0.607586i | −0.962255 | − | 0.272148i | \(-0.912266\pi\) |
−0.475466 | + | 0.879734i | \(0.657721\pi\) | |||||||
\(998\) | 1.84946 | + | 2.70475i | 0.0585437 | + | 0.0856175i | ||||
\(999\) | 17.5944 | − | 22.8169i | 0.556663 | − | 0.721894i |
(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 | 242.2.g.a.25.2 | ✓ | 200 | |
121.92 | even | 55 | inner | 242.2.g.a.213.2 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
242.2.g.a.25.2 | ✓ | 200 | 1.1 | even | 1 | trivial | |
242.2.g.a.213.2 | yes | 200 | 121.92 | even | 55 | inner |