Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 13.11 | ||
Character | \(\chi\) | \(=\) | 552.13 |
Dual form | 552.2.bb.a.85.11 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.11564 | + | 0.869107i | −0.788877 | + | 0.614551i | ||||
\(3\) | 0.540641 | − | 0.841254i | 0.312139 | − | 0.485698i | ||||
\(4\) | 0.489306 | − | 1.93922i | 0.244653 | − | 0.969611i | ||||
\(5\) | −0.756543 | − | 0.345502i | −0.338336 | − | 0.154513i | 0.239000 | − | 0.971020i | \(-0.423180\pi\) |
−0.577336 | + | 0.816507i | \(0.695908\pi\) | |||||||
\(6\) | 0.127979 | + | 1.40841i | 0.0522471 | + | 0.574981i | ||||
\(7\) | −3.66239 | − | 1.07537i | −1.38425 | − | 0.406453i | −0.497005 | − | 0.867748i | \(-0.665567\pi\) |
−0.887247 | + | 0.461295i | \(0.847385\pi\) | |||||||
\(8\) | 1.13950 | + | 2.58873i | 0.402874 | + | 0.915255i | ||||
\(9\) | −0.415415 | − | 0.909632i | −0.138472 | − | 0.303211i | ||||
\(10\) | 1.14431 | − | 0.272061i | 0.361862 | − | 0.0860333i | ||||
\(11\) | 2.56240 | + | 2.22033i | 0.772592 | + | 0.669455i | 0.949146 | − | 0.314836i | \(-0.101950\pi\) |
−0.176554 | + | 0.984291i | \(0.556495\pi\) | |||||||
\(12\) | −1.36684 | − | 1.46005i | −0.394572 | − | 0.421481i | ||||
\(13\) | 0.635317 | + | 2.16369i | 0.176205 | + | 0.600100i | 0.999473 | + | 0.0324473i | \(0.0103301\pi\) |
−0.823268 | + | 0.567653i | \(0.807852\pi\) | |||||||
\(14\) | 5.02052 | − | 1.98328i | 1.34179 | − | 0.530053i | ||||
\(15\) | −0.699673 | + | 0.449652i | −0.180655 | + | 0.116100i | ||||
\(16\) | −3.52116 | − | 1.89775i | −0.880290 | − | 0.474437i | ||||
\(17\) | −1.05713 | − | 7.35248i | −0.256391 | − | 1.78324i | −0.558034 | − | 0.829818i | \(-0.688444\pi\) |
0.301643 | − | 0.953421i | \(-0.402465\pi\) | |||||||
\(18\) | 1.25402 | + | 0.653782i | 0.295576 | + | 0.154098i | ||||
\(19\) | −5.92823 | − | 0.852351i | −1.36003 | − | 0.195543i | −0.576602 | − | 0.817025i | \(-0.695622\pi\) |
−0.783428 | + | 0.621482i | \(0.786531\pi\) | |||||||
\(20\) | −1.04019 | + | 1.29805i | −0.232593 | + | 0.290252i | ||||
\(21\) | −2.88470 | + | 2.49960i | −0.629493 | + | 0.545458i | ||||
\(22\) | −4.78842 | − | 0.250092i | −1.02089 | − | 0.0533198i | ||||
\(23\) | 2.22141 | + | 4.25034i | 0.463195 | + | 0.886256i | ||||
\(24\) | 2.79384 | + | 0.440965i | 0.570290 | + | 0.0900117i | ||||
\(25\) | −2.82132 | − | 3.25597i | −0.564264 | − | 0.651195i | ||||
\(26\) | −2.58926 | − | 1.86174i | −0.507796 | − | 0.365118i | ||||
\(27\) | −0.989821 | − | 0.142315i | −0.190491 | − | 0.0273885i | ||||
\(28\) | −3.87742 | + | 6.57599i | −0.732763 | + | 1.24275i | ||||
\(29\) | −6.91690 | + | 0.994501i | −1.28444 | + | 0.184674i | −0.750511 | − | 0.660857i | \(-0.770193\pi\) |
−0.533925 | + | 0.845532i | \(0.679284\pi\) | |||||||
\(30\) | 0.389787 | − | 1.10974i | 0.0711650 | − | 0.202610i | ||||
\(31\) | −5.48418 | + | 3.52447i | −0.984988 | + | 0.633013i | −0.930804 | − | 0.365518i | \(-0.880892\pi\) |
−0.0541837 | + | 0.998531i | \(0.517256\pi\) | |||||||
\(32\) | 5.57769 | − | 0.943061i | 0.986006 | − | 0.166711i | ||||
\(33\) | 3.25320 | − | 0.955225i | 0.566309 | − | 0.166283i | ||||
\(34\) | 7.56947 | + | 7.28397i | 1.29815 | + | 1.24919i | ||||
\(35\) | 2.39921 | + | 2.07893i | 0.405541 | + | 0.351403i | ||||
\(36\) | −1.96724 | + | 0.360493i | −0.327874 | + | 0.0600822i | ||||
\(37\) | −6.41059 | + | 2.92762i | −1.05389 | + | 0.481297i | −0.865559 | − | 0.500807i | \(-0.833036\pi\) |
−0.188335 | + | 0.982105i | \(0.560309\pi\) | |||||||
\(38\) | 7.35456 | − | 4.20135i | 1.19307 | − | 0.681549i | ||||
\(39\) | 2.16369 | + | 0.635317i | 0.346468 | + | 0.101732i | ||||
\(40\) | 0.0323299 | − | 2.35219i | 0.00511181 | − | 0.371913i | ||||
\(41\) | −2.34435 | + | 5.13341i | −0.366126 | + | 0.801705i | 0.633483 | + | 0.773756i | \(0.281625\pi\) |
−0.999609 | + | 0.0279481i | \(0.991103\pi\) | |||||||
\(42\) | 1.04586 | − | 5.29577i | 0.161380 | − | 0.817155i | ||||
\(43\) | −0.890424 | + | 1.38553i | −0.135788 | + | 0.211291i | −0.902488 | − | 0.430715i | \(-0.858261\pi\) |
0.766699 | + | 0.642006i | \(0.221898\pi\) | |||||||
\(44\) | 5.55951 | − | 3.88263i | 0.838128 | − | 0.585329i | ||||
\(45\) | 0.831702i | 0.123983i | ||||||||
\(46\) | −6.17229 | − | 2.81121i | −0.910054 | − | 0.414490i | ||||
\(47\) | −6.67219 | −0.973239 | −0.486619 | − | 0.873614i | \(-0.661770\pi\) | ||||
−0.486619 | + | 0.873614i | \(0.661770\pi\) | |||||||
\(48\) | −3.50017 | + | 1.93619i | −0.505206 | + | 0.279465i | ||||
\(49\) | 6.36787 | + | 4.09238i | 0.909696 | + | 0.584626i | ||||
\(50\) | 5.97737 | + | 1.18047i | 0.845327 | + | 0.166944i | ||||
\(51\) | −6.75683 | − | 3.08574i | −0.946145 | − | 0.432090i | ||||
\(52\) | 4.50674 | − | 0.173313i | 0.624972 | − | 0.0240341i | ||||
\(53\) | 2.73892 | − | 9.32791i | 0.376220 | − | 1.28129i | −0.526175 | − | 0.850376i | \(-0.676374\pi\) |
0.902395 | − | 0.430911i | \(-0.141808\pi\) | |||||||
\(54\) | 1.22797 | − | 0.701489i | 0.167106 | − | 0.0954605i | ||||
\(55\) | −1.17144 | − | 2.56509i | −0.157956 | − | 0.345876i | ||||
\(56\) | −1.38944 | − | 10.7063i | −0.185671 | − | 1.43069i | ||||
\(57\) | −3.92209 | + | 4.52633i | −0.519493 | + | 0.599527i | ||||
\(58\) | 6.85245 | − | 7.12103i | 0.899771 | − | 0.935038i | ||||
\(59\) | 1.99171 | + | 6.78314i | 0.259298 | + | 0.883089i | 0.981509 | + | 0.191416i | \(0.0613079\pi\) |
−0.722211 | + | 0.691673i | \(0.756874\pi\) | |||||||
\(60\) | 0.529621 | + | 1.57684i | 0.0683738 | + | 0.203569i | ||||
\(61\) | −2.08206 | − | 3.23975i | −0.266581 | − | 0.414807i | 0.681996 | − | 0.731356i | \(-0.261112\pi\) |
−0.948576 | + | 0.316549i | \(0.897476\pi\) | |||||||
\(62\) | 3.05523 | − | 8.69838i | 0.388015 | − | 1.10470i | ||||
\(63\) | 0.543216 | + | 3.77815i | 0.0684388 | + | 0.476002i | ||||
\(64\) | −5.40308 | + | 5.89973i | −0.675384 | + | 0.737466i | ||||
\(65\) | 0.266914 | − | 1.85643i | 0.0331066 | − | 0.230262i | ||||
\(66\) | −2.79921 | + | 3.89306i | −0.344558 | + | 0.479203i | ||||
\(67\) | −0.672017 | + | 0.582306i | −0.0820999 | + | 0.0711400i | −0.694944 | − | 0.719064i | \(-0.744571\pi\) |
0.612844 | + | 0.790204i | \(0.290025\pi\) | |||||||
\(68\) | −14.7754 | − | 1.54761i | −1.79177 | − | 0.187676i | ||||
\(69\) | 4.77659 | + | 0.429140i | 0.575034 | + | 0.0516624i | ||||
\(70\) | −4.48347 | − | 0.234165i | −0.535877 | − | 0.0279881i | ||||
\(71\) | −1.95680 | − | 2.25827i | −0.232230 | − | 0.268007i | 0.627660 | − | 0.778488i | \(-0.284013\pi\) |
−0.859889 | + | 0.510481i | \(0.829468\pi\) | |||||||
\(72\) | 1.88143 | − | 2.11192i | 0.221728 | − | 0.248893i | ||||
\(73\) | 1.68986 | − | 11.7532i | 0.197783 | − | 1.37561i | −0.612917 | − | 0.790147i | \(-0.710004\pi\) |
0.810700 | − | 0.585462i | \(-0.199087\pi\) | |||||||
\(74\) | 4.60750 | − | 8.83765i | 0.535611 | − | 1.02736i | ||||
\(75\) | −4.26442 | + | 0.613131i | −0.492413 | + | 0.0707983i | ||||
\(76\) | −4.55362 | + | 11.0791i | −0.522336 | + | 1.27086i | ||||
\(77\) | −6.99681 | − | 10.8872i | −0.797360 | − | 1.24072i | ||||
\(78\) | −2.96606 | + | 1.17169i | −0.335840 | + | 0.132668i | ||||
\(79\) | 5.10875 | − | 1.50006i | 0.574779 | − | 0.168770i | 0.0185914 | − | 0.999827i | \(-0.494082\pi\) |
0.556187 | + | 0.831057i | \(0.312264\pi\) | |||||||
\(80\) | 2.00823 | + | 2.65229i | 0.224527 | + | 0.296535i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −1.84603 | − | 7.76454i | −0.203860 | − | 0.857449i | ||||
\(83\) | 4.72400 | − | 2.15738i | 0.518526 | − | 0.236803i | −0.138921 | − | 0.990303i | \(-0.544363\pi\) |
0.657447 | + | 0.753500i | \(0.271636\pi\) | |||||||
\(84\) | 3.43579 | + | 6.81714i | 0.374875 | + | 0.743811i | ||||
\(85\) | −1.74053 | + | 5.92771i | −0.188787 | + | 0.642950i | ||||
\(86\) | −0.210778 | − | 2.31962i | −0.0227288 | − | 0.250131i | ||||
\(87\) | −2.90293 | + | 6.35654i | −0.311227 | + | 0.681492i | ||||
\(88\) | −2.82799 | + | 9.16343i | −0.301464 | + | 0.976825i | ||||
\(89\) | 14.8089 | + | 9.51710i | 1.56974 | + | 1.00881i | 0.979466 | + | 0.201607i | \(0.0646165\pi\) |
0.590274 | + | 0.807203i | \(0.299020\pi\) | |||||||
\(90\) | −0.722838 | − | 0.927881i | −0.0761938 | − | 0.0978072i | ||||
\(91\) | − | 8.60748i | − | 0.902309i | ||||||
\(92\) | 9.32929 | − | 2.22808i | 0.972646 | − | 0.232293i | ||||
\(93\) | 6.51906i | 0.675995i | ||||||||
\(94\) | 7.44376 | − | 5.79885i | 0.767766 | − | 0.598105i | ||||
\(95\) | 4.19048 | + | 2.69305i | 0.429934 | + | 0.276302i | ||||
\(96\) | 2.22217 | − | 5.20211i | 0.226800 | − | 0.530938i | ||||
\(97\) | 7.16690 | − | 15.6933i | 0.727689 | − | 1.59342i | −0.0751161 | − | 0.997175i | \(-0.523933\pi\) |
0.802805 | − | 0.596242i | \(-0.203340\pi\) | |||||||
\(98\) | −10.6610 | + | 0.968735i | −1.07692 | + | 0.0978570i | ||||
\(99\) | 0.955225 | − | 3.25320i | 0.0960037 | − | 0.326959i | ||||
\(100\) | −7.69454 | + | 3.87799i | −0.769454 | + | 0.387799i | ||||
\(101\) | 14.2756 | − | 6.51947i | 1.42048 | − | 0.648712i | 0.450696 | − | 0.892677i | \(-0.351176\pi\) |
0.969784 | + | 0.243966i | \(0.0784484\pi\) | |||||||
\(102\) | 10.2200 | − | 2.42983i | 1.01193 | − | 0.240589i | ||||
\(103\) | 9.56910 | − | 11.0433i | 0.942871 | − | 1.08813i | −0.0531120 | − | 0.998589i | \(-0.516914\pi\) |
0.995983 | − | 0.0895426i | \(-0.0285405\pi\) | |||||||
\(104\) | −4.87727 | + | 4.11019i | −0.478256 | + | 0.403038i | ||||
\(105\) | 3.04602 | − | 0.894391i | 0.297261 | − | 0.0872836i | ||||
\(106\) | 5.05130 | + | 12.7870i | 0.490626 | + | 1.24198i | ||||
\(107\) | −4.80748 | − | 7.48058i | −0.464756 | − | 0.723175i | 0.527202 | − | 0.849740i | \(-0.323241\pi\) |
−0.991958 | + | 0.126565i | \(0.959605\pi\) | |||||||
\(108\) | −0.760306 | + | 1.84985i | −0.0731605 | + | 0.178002i | ||||
\(109\) | −17.1764 | + | 2.46959i | −1.64520 | + | 0.236544i | −0.901753 | − | 0.432252i | \(-0.857719\pi\) |
−0.743446 | + | 0.668796i | \(0.766810\pi\) | |||||||
\(110\) | 3.53624 | + | 1.84361i | 0.337167 | + | 0.175782i | ||||
\(111\) | −1.00296 | + | 6.97572i | −0.0951965 | + | 0.662106i | ||||
\(112\) | 10.8551 | + | 10.7368i | 1.02571 | + | 1.01454i | ||||
\(113\) | 1.40284 | + | 1.61896i | 0.131968 | + | 0.152299i | 0.817887 | − | 0.575379i | \(-0.195145\pi\) |
−0.685920 | + | 0.727677i | \(0.740600\pi\) | |||||||
\(114\) | 0.441774 | − | 8.45847i | 0.0413759 | − | 0.792208i | ||||
\(115\) | −0.212091 | − | 3.98306i | −0.0197776 | − | 0.371422i | ||||
\(116\) | −1.45593 | + | 13.9000i | −0.135180 | + | 1.29058i | ||||
\(117\) | 1.70424 | − | 1.47673i | 0.157557 | − | 0.136524i | ||||
\(118\) | −8.11730 | − | 5.83653i | −0.747258 | − | 0.537296i | ||||
\(119\) | −4.03506 | + | 28.0644i | −0.369893 | + | 2.57266i | ||||
\(120\) | −1.96131 | − | 1.29889i | −0.179042 | − | 0.118572i | ||||
\(121\) | 0.0705523 | + | 0.490702i | 0.00641385 | + | 0.0446093i | ||||
\(122\) | 5.13852 | + | 1.80486i | 0.465220 | + | 0.163405i | ||||
\(123\) | 3.05105 | + | 4.74753i | 0.275104 | + | 0.428070i | ||||
\(124\) | 4.15128 | + | 12.3596i | 0.372796 | + | 1.10992i | ||||
\(125\) | 2.18109 | + | 7.42812i | 0.195083 | + | 0.664391i | ||||
\(126\) | −3.88965 | − | 3.74294i | −0.346518 | − | 0.333448i | ||||
\(127\) | −4.73588 | + | 5.46550i | −0.420241 | + | 0.484984i | −0.925910 | − | 0.377743i | \(-0.876700\pi\) |
0.505669 | + | 0.862727i | \(0.331246\pi\) | |||||||
\(128\) | 0.900395 | − | 11.2778i | 0.0795844 | − | 0.996828i | ||||
\(129\) | 0.684180 | + | 1.49815i | 0.0602387 | + | 0.131904i | ||||
\(130\) | 1.31565 | + | 2.30308i | 0.115391 | + | 0.201994i | ||||
\(131\) | −4.86383 | + | 16.5647i | −0.424955 | + | 1.44726i | 0.417589 | + | 0.908636i | \(0.362875\pi\) |
−0.842544 | + | 0.538628i | \(0.818943\pi\) | |||||||
\(132\) | −0.260583 | − | 6.77607i | −0.0226808 | − | 0.589781i | ||||
\(133\) | 20.7949 | + | 9.49671i | 1.80315 | + | 0.823469i | ||||
\(134\) | 0.243643 | − | 1.23370i | 0.0210475 | − | 0.106575i | ||||
\(135\) | 0.699673 | + | 0.449652i | 0.0602182 | + | 0.0386999i | ||||
\(136\) | 17.8290 | − | 11.1148i | 1.52883 | − | 0.953085i | ||||
\(137\) | 0.262237 | 0.0224044 | 0.0112022 | − | 0.999937i | \(-0.496434\pi\) | ||||
0.0112022 | + | 0.999937i | \(0.496434\pi\) | |||||||
\(138\) | −5.70193 | + | 3.67260i | −0.485380 | + | 0.312633i | ||||
\(139\) | 8.64728i | 0.733453i | 0.930329 | + | 0.366727i | \(0.119522\pi\) | ||||
−0.930329 | + | 0.366727i | \(0.880478\pi\) | |||||||
\(140\) | 5.20545 | − | 3.63537i | 0.439941 | − | 0.307245i | ||||
\(141\) | −3.60726 | + | 5.61300i | −0.303786 | + | 0.472700i | ||||
\(142\) | 4.14576 | + | 0.818746i | 0.347905 | + | 0.0687077i | ||||
\(143\) | −3.17617 | + | 6.95485i | −0.265605 | + | 0.581594i | ||||
\(144\) | −0.263509 | + | 3.99131i | −0.0219591 | + | 0.332609i | ||||
\(145\) | 5.57654 | + | 1.63742i | 0.463106 | + | 0.135980i | ||||
\(146\) | 8.32953 | + | 14.5810i | 0.689357 | + | 1.20673i | ||||
\(147\) | 6.88546 | − | 3.14449i | 0.567904 | − | 0.259353i | ||||
\(148\) | 2.54056 | + | 13.8641i | 0.208833 | + | 1.13962i | ||||
\(149\) | −4.04268 | − | 3.50300i | −0.331189 | − | 0.286977i | 0.473353 | − | 0.880873i | \(-0.343044\pi\) |
−0.804542 | + | 0.593896i | \(0.797589\pi\) | |||||||
\(150\) | 4.22468 | − | 4.39027i | 0.344944 | − | 0.358464i | ||||
\(151\) | 4.83500 | − | 1.41968i | 0.393466 | − | 0.115532i | −0.0790136 | − | 0.996874i | \(-0.525177\pi\) |
0.472480 | + | 0.881341i | \(0.343359\pi\) | |||||||
\(152\) | −4.54872 | − | 16.3179i | −0.368950 | − | 1.32355i | ||||
\(153\) | −6.24891 | + | 4.01593i | −0.505194 | + | 0.324669i | ||||
\(154\) | 17.2681 | + | 6.06527i | 1.39150 | + | 0.488754i | ||||
\(155\) | 5.36673 | − | 0.771619i | 0.431066 | − | 0.0619780i | ||||
\(156\) | 2.29073 | − | 3.88501i | 0.183405 | − | 0.311050i | ||||
\(157\) | 8.36861 | + | 1.20322i | 0.667888 | + | 0.0960278i | 0.467915 | − | 0.883774i | \(-0.345005\pi\) |
0.199973 | + | 0.979801i | \(0.435914\pi\) | |||||||
\(158\) | −4.39581 | + | 6.11358i | −0.349712 | + | 0.486370i | ||||
\(159\) | −6.36636 | − | 7.34718i | −0.504886 | − | 0.582669i | ||||
\(160\) | −4.54559 | − | 1.21364i | −0.359361 | − | 0.0959463i | ||||
\(161\) | −3.56495 | − | 17.9552i | −0.280957 | − | 1.41507i | ||||
\(162\) | 0.0737618 | − | 1.41229i | 0.00579527 | − | 0.110960i | ||||
\(163\) | −14.7262 | + | 12.7603i | −1.15344 | + | 0.999464i | −0.153506 | + | 0.988148i | \(0.549057\pi\) |
−0.999936 | + | 0.0113159i | \(0.996398\pi\) | |||||||
\(164\) | 8.80772 | + | 7.05803i | 0.687767 | + | 0.551139i | ||||
\(165\) | −2.79122 | − | 0.401316i | −0.217296 | − | 0.0312424i | ||||
\(166\) | −3.39529 | + | 6.51252i | −0.263526 | + | 0.505469i | ||||
\(167\) | −1.76517 | − | 12.2771i | −0.136593 | − | 0.950027i | −0.936691 | − | 0.350157i | \(-0.886128\pi\) |
0.800098 | − | 0.599870i | \(-0.204781\pi\) | |||||||
\(168\) | −9.75792 | − | 4.61941i | −0.752840 | − | 0.356395i | ||||
\(169\) | 6.65837 | − | 4.27907i | 0.512182 | − | 0.329159i | ||||
\(170\) | −3.21001 | − | 8.12590i | −0.246196 | − | 0.623228i | ||||
\(171\) | 1.68735 | + | 5.74659i | 0.129035 | + | 0.439453i | ||||
\(172\) | 2.25115 | + | 2.40468i | 0.171649 | + | 0.183355i | ||||
\(173\) | −2.44138 | − | 2.11547i | −0.185615 | − | 0.160836i | 0.557097 | − | 0.830447i | \(-0.311915\pi\) |
−0.742712 | + | 0.669612i | \(0.766461\pi\) | |||||||
\(174\) | −2.28588 | − | 9.61457i | −0.173292 | − | 0.728879i | ||||
\(175\) | 6.83137 | + | 14.9586i | 0.516403 | + | 1.13076i | ||||
\(176\) | −4.80899 | − | 12.6809i | −0.362491 | − | 0.955860i | ||||
\(177\) | 6.78314 | + | 1.99171i | 0.509852 | + | 0.149706i | ||||
\(178\) | −24.7928 | + | 2.25286i | −1.85830 | + | 0.168859i | ||||
\(179\) | −6.52201 | − | 2.97850i | −0.487478 | − | 0.222624i | 0.156485 | − | 0.987680i | \(-0.449984\pi\) |
−0.643963 | + | 0.765057i | \(0.722711\pi\) | |||||||
\(180\) | 1.61285 | + | 0.406957i | 0.120215 | + | 0.0303328i | ||||
\(181\) | 11.4807 | − | 17.8643i | 0.853351 | − | 1.32784i | −0.0899653 | − | 0.995945i | \(-0.528676\pi\) |
0.943316 | − | 0.331895i | \(-0.107688\pi\) | |||||||
\(182\) | 7.48082 | + | 9.60285i | 0.554515 | + | 0.711810i | ||||
\(183\) | −3.85110 | −0.284681 | ||||||||
\(184\) | −8.47169 | + | 10.5939i | −0.624541 | + | 0.780992i | ||||
\(185\) | 5.86138 | 0.430937 | ||||||||
\(186\) | −5.66576 | − | 7.27293i | −0.415434 | − | 0.533277i | ||||
\(187\) | 13.6162 | − | 21.1872i | 0.995712 | − | 1.54936i | ||||
\(188\) | −3.26474 | + | 12.9389i | −0.238106 | + | 0.943663i | ||||
\(189\) | 3.47207 | + | 1.58564i | 0.252556 | + | 0.115338i | ||||
\(190\) | −7.01562 | + | 0.637491i | −0.508966 | + | 0.0462484i | ||||
\(191\) | −17.5987 | − | 5.16744i | −1.27340 | − | 0.373903i | −0.425933 | − | 0.904755i | \(-0.640054\pi\) |
−0.847465 | + | 0.530852i | \(0.821872\pi\) | |||||||
\(192\) | 2.04204 | + | 7.73499i | 0.147372 | + | 0.558225i | ||||
\(193\) | −6.63210 | − | 14.5223i | −0.477389 | − | 1.04534i | −0.983173 | − | 0.182676i | \(-0.941524\pi\) |
0.505784 | − | 0.862660i | \(-0.331203\pi\) | |||||||
\(194\) | 5.64350 | + | 23.7369i | 0.405179 | + | 1.70421i | ||||
\(195\) | −1.41742 | − | 1.22820i | −0.101504 | − | 0.0879535i | ||||
\(196\) | 11.0519 | − | 10.3463i | 0.789420 | − | 0.739020i | ||||
\(197\) | 2.52274 | + | 8.59165i | 0.179737 | + | 0.612130i | 0.999237 | + | 0.0390501i | \(0.0124332\pi\) |
−0.819500 | + | 0.573079i | \(0.805749\pi\) | |||||||
\(198\) | 1.76169 | + | 4.45959i | 0.125198 | + | 0.316929i | ||||
\(199\) | −3.10991 | + | 1.99861i | −0.220455 | + | 0.141678i | −0.646207 | − | 0.763162i | \(-0.723646\pi\) |
0.425752 | + | 0.904840i | \(0.360010\pi\) | |||||||
\(200\) | 5.21395 | − | 11.0138i | 0.368682 | − | 0.778795i | ||||
\(201\) | 0.126547 | + | 0.880155i | 0.00892595 | + | 0.0620813i | ||||
\(202\) | −10.2604 | + | 19.6804i | −0.721917 | + | 1.38471i | ||||
\(203\) | 26.4018 | + | 3.79601i | 1.85305 | + | 0.266428i | ||||
\(204\) | −9.29009 | + | 11.5931i | −0.650437 | + | 0.811680i | ||||
\(205\) | 3.54721 | − | 3.07367i | 0.247748 | − | 0.214675i | ||||
\(206\) | −1.07784 | + | 20.6369i | −0.0750965 | + | 1.43784i | ||||
\(207\) | 2.94344 | − | 3.78632i | 0.204583 | − | 0.263167i | ||||
\(208\) | 1.86908 | − | 8.82437i | 0.129598 | − | 0.611860i | ||||
\(209\) | −13.2980 | − | 15.3467i | −0.919841 | − | 1.06155i | ||||
\(210\) | −2.62094 | + | 3.64513i | −0.180862 | + | 0.251538i | ||||
\(211\) | −12.4883 | − | 1.79554i | −0.859729 | − | 0.123610i | −0.301671 | − | 0.953412i | \(-0.597544\pi\) |
−0.558058 | + | 0.829802i | \(0.688453\pi\) | |||||||
\(212\) | −16.7487 | − | 9.87558i | −1.15031 | − | 0.678258i | ||||
\(213\) | −2.95770 | + | 0.425254i | −0.202659 | + | 0.0291379i | ||||
\(214\) | 11.8648 | + | 4.16742i | 0.811063 | + | 0.284879i | ||||
\(215\) | 1.15235 | − | 0.740568i | 0.0785894 | − | 0.0505063i | ||||
\(216\) | −0.759487 | − | 2.72455i | −0.0516766 | − | 0.185382i | ||||
\(217\) | 23.8753 | − | 7.01043i | 1.62076 | − | 0.475899i | ||||
\(218\) | 17.0163 | − | 17.6833i | 1.15249 | − | 1.19766i | ||||
\(219\) | −8.97383 | − | 7.77587i | −0.606395 | − | 0.525444i | ||||
\(220\) | −5.54746 | + | 1.01656i | −0.374010 | + | 0.0685365i | ||||
\(221\) | 15.2369 | − | 6.95845i | 1.02494 | − | 0.468076i | ||||
\(222\) | −4.94371 | − | 8.65407i | −0.331800 | − | 0.580823i | ||||
\(223\) | −1.32004 | − | 0.387599i | −0.0883966 | − | 0.0259556i | 0.237235 | − | 0.971452i | \(-0.423759\pi\) |
−0.325632 | + | 0.945497i | \(0.605577\pi\) | |||||||
\(224\) | −21.4418 | − | 2.54425i | −1.43264 | − | 0.169995i | ||||
\(225\) | −1.78972 | + | 3.91894i | −0.119315 | + | 0.261263i | ||||
\(226\) | −2.97211 | − | 0.586961i | −0.197702 | − | 0.0390441i | ||||
\(227\) | −2.54285 | + | 3.95675i | −0.168775 | + | 0.262619i | −0.915330 | − | 0.402705i | \(-0.868070\pi\) |
0.746555 | + | 0.665324i | \(0.231706\pi\) | |||||||
\(228\) | 6.85846 | + | 9.82056i | 0.454212 | + | 0.650382i | ||||
\(229\) | − | 8.46102i | − | 0.559120i | −0.960128 | − | 0.279560i | \(-0.909811\pi\) | ||
0.960128 | − | 0.279560i | \(-0.0901886\pi\) | |||||||
\(230\) | 3.69832 | + | 4.25933i | 0.243860 | + | 0.280852i | ||||
\(231\) | −12.9417 | −0.851501 | ||||||||
\(232\) | −10.4563 | − | 16.7728i | −0.686491 | − | 1.10119i | ||||
\(233\) | −10.2996 | − | 6.61916i | −0.674750 | − | 0.433635i | 0.157885 | − | 0.987457i | \(-0.449532\pi\) |
−0.832635 | + | 0.553822i | \(0.813169\pi\) | |||||||
\(234\) | −0.617881 | + | 3.12867i | −0.0403922 | + | 0.204528i | ||||
\(235\) | 5.04780 | + | 2.30525i | 0.329282 | + | 0.150378i | ||||
\(236\) | 14.1286 | − | 0.543332i | 0.919691 | − | 0.0353679i | ||||
\(237\) | 1.50006 | − | 5.10875i | 0.0974396 | − | 0.331849i | ||||
\(238\) | −19.8893 | − | 34.8167i | −1.28923 | − | 2.25683i | ||||
\(239\) | 0.296939 | + | 0.650205i | 0.0192074 | + | 0.0420583i | 0.918993 | − | 0.394275i | \(-0.129004\pi\) |
−0.899785 | + | 0.436333i | \(0.856277\pi\) | |||||||
\(240\) | 3.31698 | − | 0.255496i | 0.214110 | − | 0.0164922i | ||||
\(241\) | −9.71895 | + | 11.2163i | −0.626053 | + | 0.722503i | −0.976845 | − | 0.213950i | \(-0.931367\pi\) |
0.350792 | + | 0.936453i | \(0.385912\pi\) | |||||||
\(242\) | −0.505184 | − | 0.486130i | −0.0324744 | − | 0.0312496i | ||||
\(243\) | 0.281733 | + | 0.959493i | 0.0180732 | + | 0.0615515i | ||||
\(244\) | −7.30136 | + | 2.45235i | −0.467421 | + | 0.156995i | ||||
\(245\) | −3.40365 | − | 5.29618i | −0.217451 | − | 0.338360i | ||||
\(246\) | −7.52998 | − | 2.64484i | −0.480094 | − | 0.168629i | ||||
\(247\) | −1.92208 | − | 13.3684i | −0.122299 | − | 0.850609i | ||||
\(248\) | −15.3731 | − | 10.1809i | −0.976195 | − | 0.646491i | ||||
\(249\) | 0.739085 | − | 5.14045i | 0.0468376 | − | 0.325763i | ||||
\(250\) | −8.88914 | − | 6.39150i | −0.562199 | − | 0.404234i | ||||
\(251\) | 5.50873 | − | 4.77334i | 0.347708 | − | 0.301291i | −0.463444 | − | 0.886126i | \(-0.653386\pi\) |
0.811152 | + | 0.584836i | \(0.198841\pi\) | |||||||
\(252\) | 7.59247 | + | 0.795257i | 0.478281 | + | 0.0500965i | ||||
\(253\) | −3.74503 | + | 15.8233i | −0.235448 | + | 0.994803i | ||||
\(254\) | 0.533437 | − | 10.2135i | 0.0334708 | − | 0.640853i | ||||
\(255\) | 4.04570 | + | 4.66899i | 0.253352 | + | 0.292384i | ||||
\(256\) | 8.79712 | + | 13.3645i | 0.549820 | + | 0.835283i | ||||
\(257\) | −3.61032 | + | 25.1103i | −0.225206 | + | 1.56634i | 0.492701 | + | 0.870199i | \(0.336010\pi\) |
−0.717906 | + | 0.696140i | \(0.754899\pi\) | |||||||
\(258\) | −2.06535 | − | 1.07677i | −0.128583 | − | 0.0670365i | ||||
\(259\) | 26.6263 | − | 3.82829i | 1.65448 | − | 0.237878i | ||||
\(260\) | −3.46942 | − | 1.42597i | −0.215164 | − | 0.0884348i | ||||
\(261\) | 3.77802 | + | 5.87871i | 0.233853 | + | 0.363883i | ||||
\(262\) | −8.97020 | − | 22.7074i | −0.554181 | − | 1.40287i | ||||
\(263\) | 11.9550 | − | 3.51030i | 0.737175 | − | 0.216454i | 0.108472 | − | 0.994100i | \(-0.465404\pi\) |
0.628703 | + | 0.777645i | \(0.283586\pi\) | |||||||
\(264\) | 6.17984 | + | 7.33318i | 0.380343 | + | 0.451326i | ||||
\(265\) | −5.29492 | + | 6.11066i | −0.325264 | + | 0.375375i | ||||
\(266\) | −31.4533 | + | 7.47807i | −1.92852 | + | 0.458510i | ||||
\(267\) | 16.0126 | − | 7.31270i | 0.979955 | − | 0.447530i | ||||
\(268\) | 0.800398 | + | 1.58812i | 0.0488921 | + | 0.0970096i | ||||
\(269\) | 2.34812 | − | 7.99696i | 0.143167 | − | 0.487583i | −0.856421 | − | 0.516278i | \(-0.827317\pi\) |
0.999588 | + | 0.0286950i | \(0.00913517\pi\) | |||||||
\(270\) | −1.17138 | + | 0.106440i | −0.0712878 | + | 0.00647774i | ||||
\(271\) | 1.71209 | − | 3.74895i | 0.104002 | − | 0.227732i | −0.850476 | − | 0.526014i | \(-0.823686\pi\) |
0.954478 | + | 0.298281i | \(0.0964134\pi\) | |||||||
\(272\) | −10.2308 | + | 27.8954i | −0.620335 | + | 1.69141i | ||||
\(273\) | −7.24107 | − | 4.65355i | −0.438249 | − | 0.281646i | ||||
\(274\) | −0.292563 | + | 0.227912i | −0.0176743 | + | 0.0137687i | ||||
\(275\) | − | 14.6074i | − | 0.880857i | ||||||
\(276\) | 3.16941 | − | 9.05289i | 0.190776 | − | 0.544920i | ||||
\(277\) | 17.5330i | 1.05346i | 0.850034 | + | 0.526728i | \(0.176581\pi\) | ||||
−0.850034 | + | 0.526728i | \(0.823419\pi\) | |||||||
\(278\) | −7.51541 | − | 9.64726i | −0.450745 | − | 0.578604i | ||||
\(279\) | 5.48418 | + | 3.52447i | 0.328329 | + | 0.211004i | ||||
\(280\) | −2.64789 | + | 8.57985i | −0.158241 | + | 0.512744i | ||||
\(281\) | −9.36365 | + | 20.5035i | −0.558588 | + | 1.22314i | 0.394066 | + | 0.919082i | \(0.371068\pi\) |
−0.952654 | + | 0.304056i | \(0.901659\pi\) | |||||||
\(282\) | −0.853898 | − | 9.39719i | −0.0508489 | − | 0.559594i | ||||
\(283\) | −0.270632 | + | 0.921689i | −0.0160874 | + | 0.0547887i | −0.967146 | − | 0.254223i | \(-0.918180\pi\) |
0.951058 | + | 0.309012i | \(0.0999984\pi\) | |||||||
\(284\) | −5.33676 | + | 2.68969i | −0.316678 | + | 0.159604i | ||||
\(285\) | 4.53108 | − | 2.06928i | 0.268398 | − | 0.122573i | ||||
\(286\) | −2.50104 | − | 10.5195i | −0.147890 | − | 0.622034i | ||||
\(287\) | 14.1063 | − | 16.2795i | 0.832666 | − | 0.960948i | ||||
\(288\) | −3.17490 | − | 4.68188i | −0.187082 | − | 0.275883i | ||||
\(289\) | −36.6301 | + | 10.7556i | −2.15471 | + | 0.632681i | ||||
\(290\) | −7.64450 | + | 3.01984i | −0.448901 | + | 0.177331i | ||||
\(291\) | −9.32735 | − | 14.5136i | −0.546779 | − | 0.850805i | ||||
\(292\) | −21.9652 | − | 9.02793i | −1.28542 | − | 0.528320i | ||||
\(293\) | −6.44045 | + | 0.925997i | −0.376255 | + | 0.0540973i | −0.327848 | − | 0.944730i | \(-0.606323\pi\) |
−0.0484068 | + | 0.998828i | \(0.515414\pi\) | |||||||
\(294\) | −4.94881 | + | 9.49232i | −0.288620 | + | 0.553603i | ||||
\(295\) | 0.836771 | − | 5.81987i | 0.0487187 | − | 0.338846i | ||||
\(296\) | −14.8837 | − | 13.2593i | −0.865097 | − | 0.770680i | ||||
\(297\) | −2.22033 | − | 2.56240i | −0.128837 | − | 0.148685i | ||||
\(298\) | 7.55466 | + | 0.394569i | 0.437630 | + | 0.0228568i | ||||
\(299\) | −7.78512 | + | 7.50674i | −0.450225 | + | 0.434126i | ||||
\(300\) | −0.897611 | + | 8.56966i | −0.0518236 | + | 0.494770i | ||||
\(301\) | 4.75104 | − | 4.11680i | 0.273845 | − | 0.237288i | ||||
\(302\) | −4.16026 | + | 5.78598i | −0.239396 | + | 0.332946i | ||||
\(303\) | 2.23347 | − | 15.5341i | 0.128310 | − | 0.892413i | ||||
\(304\) | 19.2567 | + | 14.2515i | 1.10445 | + | 0.817382i | ||||
\(305\) | 0.455830 | + | 3.17037i | 0.0261007 | + | 0.181535i | ||||
\(306\) | 3.48126 | − | 9.91130i | 0.199010 | − | 0.566591i | ||||
\(307\) | −15.4412 | − | 24.0269i | −0.881275 | − | 1.37129i | −0.928078 | − | 0.372386i | \(-0.878540\pi\) |
0.0468032 | − | 0.998904i | \(-0.485097\pi\) | |||||||
\(308\) | −24.5364 | + | 8.24116i | −1.39809 | + | 0.469584i | ||||
\(309\) | −4.11679 | − | 14.0205i | −0.234196 | − | 0.797599i | ||||
\(310\) | −5.31672 | + | 5.52511i | −0.301969 | + | 0.313805i | ||||
\(311\) | −4.33322 | + | 5.00081i | −0.245715 | + | 0.283570i | −0.865188 | − | 0.501448i | \(-0.832801\pi\) |
0.619473 | + | 0.785018i | \(0.287346\pi\) | |||||||
\(312\) | 0.820862 | + | 6.32516i | 0.0464721 | + | 0.358092i | ||||
\(313\) | −1.78234 | − | 3.90279i | −0.100744 | − | 0.220599i | 0.852548 | − | 0.522649i | \(-0.175056\pi\) |
−0.953292 | + | 0.302050i | \(0.902329\pi\) | |||||||
\(314\) | −10.3821 | + | 5.93085i | −0.585895 | + | 0.334697i | ||||
\(315\) | 0.894391 | − | 3.04602i | 0.0503932 | − | 0.171624i | ||||
\(316\) | −0.409213 | − | 10.6410i | −0.0230200 | − | 0.598602i | ||||
\(317\) | 0.275172 | + | 0.125667i | 0.0154552 | + | 0.00705816i | 0.423128 | − | 0.906070i | \(-0.360932\pi\) |
−0.407672 | + | 0.913128i | \(0.633659\pi\) | |||||||
\(318\) | 13.4881 | + | 2.66375i | 0.756372 | + | 0.149376i | ||||
\(319\) | −19.9320 | − | 12.8095i | −1.11598 | − | 0.717195i | ||||
\(320\) | 6.12602 | − | 2.59663i | 0.342455 | − | 0.145156i | ||||
\(321\) | −8.89218 | −0.496313 | ||||||||
\(322\) | 19.5822 | + | 16.9332i | 1.09127 | + | 0.943653i | ||||
\(323\) | 44.4883i | 2.47539i | ||||||||
\(324\) | 1.14514 | + | 1.63971i | 0.0636188 | + | 0.0910952i | ||||
\(325\) | 5.25249 | − | 8.17303i | 0.291356 | − | 0.453358i | ||||
\(326\) | 5.33904 | − | 27.0345i | 0.295702 | − | 1.49730i | ||||
\(327\) | −7.20870 | + | 15.7849i | −0.398642 | + | 0.872904i | ||||
\(328\) | −15.9604 | − | 0.219370i | −0.881267 | − | 0.0121127i | ||||
\(329\) | 24.4361 | + | 7.17510i | 1.34721 | + | 0.395576i | ||||
\(330\) | 3.46278 | − | 1.97814i | 0.190620 | − | 0.108893i | ||||
\(331\) | 24.9427 | − | 11.3910i | 1.37098 | − | 0.626103i | 0.412416 | − | 0.910996i | \(-0.364685\pi\) |
0.958559 | + | 0.284892i | \(0.0919579\pi\) | |||||||
\(332\) | −1.87215 | − | 10.2165i | −0.102748 | − | 0.560703i | ||||
\(333\) | 5.32611 | + | 4.61510i | 0.291869 | + | 0.252906i | ||||
\(334\) | 12.6394 | + | 12.1626i | 0.691596 | + | 0.665511i | ||||
\(335\) | 0.709597 | − | 0.208357i | 0.0387694 | − | 0.0113837i | ||||
\(336\) | 14.9011 | − | 3.32708i | 0.812921 | − | 0.181507i | ||||
\(337\) | 11.8272 | − | 7.60090i | 0.644270 | − | 0.414047i | −0.177298 | − | 0.984157i | \(-0.556736\pi\) |
0.821568 | + | 0.570110i | \(0.193099\pi\) | |||||||
\(338\) | −3.70937 | + | 10.5607i | −0.201763 | + | 0.574428i | ||||
\(339\) | 2.12038 | − | 0.304865i | 0.115163 | − | 0.0165580i | ||||
\(340\) | 10.6435 | + | 6.27574i | 0.577224 | + | 0.340350i | ||||
\(341\) | −21.8781 | − | 3.14560i | −1.18477 | − | 0.170344i | ||||
\(342\) | −6.87688 | − | 4.94464i | −0.371859 | − | 0.267375i | ||||
\(343\) | −1.42354 | − | 1.64285i | −0.0768639 | − | 0.0887056i | ||||
\(344\) | −4.60140 | − | 0.726261i | −0.248091 | − | 0.0391574i | ||||
\(345\) | −3.46543 | − | 1.97498i | −0.186572 | − | 0.106330i | ||||
\(346\) | 4.56227 | + | 0.238281i | 0.245269 | + | 0.0128100i | ||||
\(347\) | −4.82294 | + | 4.17910i | −0.258909 | + | 0.224346i | −0.774637 | − | 0.632407i | \(-0.782067\pi\) |
0.515727 | + | 0.856753i | \(0.327522\pi\) | |||||||
\(348\) | 10.9063 | + | 8.73973i | 0.584640 | + | 0.468498i | ||||
\(349\) | −19.4886 | − | 2.80204i | −1.04320 | − | 0.149990i | −0.400649 | − | 0.916232i | \(-0.631215\pi\) |
−0.642552 | + | 0.766242i | \(0.722124\pi\) | |||||||
\(350\) | −20.6220 | − | 10.7512i | −1.10229 | − | 0.574678i | ||||
\(351\) | −0.320925 | − | 2.23208i | −0.0171297 | − | 0.119140i | ||||
\(352\) | 16.3862 | + | 9.96782i | 0.873386 | + | 0.531286i | ||||
\(353\) | −17.8735 | + | 11.4866i | −0.951311 | + | 0.611371i | −0.921581 | − | 0.388187i | \(-0.873101\pi\) |
−0.0297309 | + | 0.999558i | \(0.509465\pi\) | |||||||
\(354\) | −9.29855 | + | 3.67324i | −0.494212 | + | 0.195231i | ||||
\(355\) | 0.700169 | + | 2.38456i | 0.0371611 | + | 0.126559i | ||||
\(356\) | 25.7019 | − | 24.0610i | 1.36220 | − | 1.27523i | ||||
\(357\) | 21.4278 | + | 18.5673i | 1.13408 | + | 0.982685i | ||||
\(358\) | 9.86486 | − | 2.34539i | 0.521374 | − | 0.123958i | ||||
\(359\) | 1.04838 | + | 2.29563i | 0.0553315 | + | 0.121159i | 0.935278 | − | 0.353913i | \(-0.115149\pi\) |
−0.879947 | + | 0.475072i | \(0.842422\pi\) | |||||||
\(360\) | −2.15306 | + | 0.947726i | −0.113476 | + | 0.0499495i | ||||
\(361\) | 16.1871 | + | 4.75296i | 0.851952 | + | 0.250156i | ||||
\(362\) | 2.71766 | + | 29.9080i | 0.142837 | + | 1.57193i | ||||
\(363\) | 0.450948 | + | 0.205941i | 0.0236687 | + | 0.0108091i | ||||
\(364\) | −16.6918 | − | 4.21169i | −0.874888 | − | 0.220753i | ||||
\(365\) | −5.33920 | + | 8.30796i | −0.279467 | + | 0.434859i | ||||
\(366\) | 4.29644 | − | 3.34702i | 0.224579 | − | 0.174951i | ||||
\(367\) | −1.23586 | −0.0645114 | −0.0322557 | − | 0.999480i | \(-0.510269\pi\) | ||||
−0.0322557 | + | 0.999480i | \(0.510269\pi\) | |||||||
\(368\) | 0.244139 | − | 19.1818i | 0.0127266 | − | 0.999919i | ||||
\(369\) | 5.64340 | 0.293783 | ||||||||
\(370\) | −6.53919 | + | 5.09417i | −0.339957 | + | 0.264833i | ||||
\(371\) | −20.0620 | + | 31.2170i | −1.04157 | + | 1.62071i | ||||
\(372\) | 12.6419 | + | 3.18982i | 0.655452 | + | 0.165384i | ||||
\(373\) | −2.12963 | − | 0.972570i | −0.110268 | − | 0.0503578i | 0.359517 | − | 0.933138i | \(-0.382941\pi\) |
−0.469785 | + | 0.882781i | \(0.655669\pi\) | |||||||
\(374\) | 3.22317 | + | 35.4711i | 0.166666 | + | 1.83417i | ||||
\(375\) | 7.42812 | + | 2.18109i | 0.383586 | + | 0.112631i | ||||
\(376\) | −7.60297 | − | 17.2725i | −0.392093 | − | 0.890762i | ||||
\(377\) | −6.54622 | − | 14.3342i | −0.337147 | − | 0.738250i | ||||
\(378\) | −5.25167 | + | 1.24859i | −0.270117 | + | 0.0642207i | ||||
\(379\) | 6.58892 | + | 5.70933i | 0.338450 | + | 0.293268i | 0.807458 | − | 0.589926i | \(-0.200843\pi\) |
−0.469008 | + | 0.883194i | \(0.655388\pi\) | |||||||
\(380\) | 7.27286 | − | 6.80853i | 0.373090 | − | 0.349270i | ||||
\(381\) | 2.03746 | + | 6.93894i | 0.104382 | + | 0.355493i | ||||
\(382\) | 24.1249 | − | 9.53014i | 1.23434 | − | 0.487605i | ||||
\(383\) | 31.7682 | − | 20.4162i | 1.62328 | − | 1.04322i | 0.669458 | − | 0.742850i | \(-0.266526\pi\) |
0.953823 | − | 0.300370i | \(-0.0971100\pi\) | |||||||
\(384\) | −9.00072 | − | 6.85471i | −0.459316 | − | 0.349803i | ||||
\(385\) | 1.53183 | + | 10.6541i | 0.0780690 | + | 0.542982i | ||||
\(386\) | 20.0204 | + | 10.4376i | 1.01901 | + | 0.531261i | ||||
\(387\) | 1.63022 | + | 0.234390i | 0.0828685 | + | 0.0119147i | ||||
\(388\) | −26.9260 | − | 21.5771i | −1.36696 | − | 1.09541i | ||||
\(389\) | −18.2951 | + | 15.8528i | −0.927598 | + | 0.803769i | −0.980840 | − | 0.194813i | \(-0.937590\pi\) |
0.0532420 | + | 0.998582i | \(0.483045\pi\) | |||||||
\(390\) | 2.64877 | + | 0.138342i | 0.134126 | + | 0.00700520i | ||||
\(391\) | 28.9022 | − | 20.8260i | 1.46165 | − | 1.05322i | ||||
\(392\) | −3.33789 | + | 21.1480i | −0.168589 | + | 1.06814i | ||||
\(393\) | 11.3055 | + | 13.0473i | 0.570288 | + | 0.658147i | ||||
\(394\) | −10.2815 | − | 7.39266i | −0.517976 | − | 0.372437i | ||||
\(395\) | −4.38326 | − | 0.630218i | −0.220546 | − | 0.0317097i | ||||
\(396\) | −5.84127 | − | 3.44420i | −0.293535 | − | 0.173078i | ||||
\(397\) | 28.0372 | − | 4.03113i | 1.40714 | − | 0.202317i | 0.603470 | − | 0.797386i | \(-0.293784\pi\) |
0.803675 | + | 0.595069i | \(0.202875\pi\) | |||||||
\(398\) | 1.73253 | − | 4.93258i | 0.0868437 | − | 0.247248i | ||||
\(399\) | 19.2317 | − | 12.3595i | 0.962789 | − | 0.618747i | ||||
\(400\) | 3.75529 | + | 16.8189i | 0.187765 | + | 0.840947i | ||||
\(401\) | 20.0199 | − | 5.87837i | 0.999746 | − | 0.293552i | 0.259394 | − | 0.965772i | \(-0.416477\pi\) |
0.740352 | + | 0.672220i | \(0.234659\pi\) | |||||||
\(402\) | −0.906130 | − | 0.871953i | −0.0451936 | − | 0.0434891i | ||||
\(403\) | −11.1101 | − | 9.62692i | −0.553431 | − | 0.479551i | ||||
\(404\) | −5.65753 | − | 30.8737i | −0.281473 | − | 1.53602i | ||||
\(405\) | 0.756543 | − | 0.345502i | 0.0375929 | − | 0.0171681i | ||||
\(406\) | −32.7541 | + | 18.7110i | −1.62556 | + | 0.928613i | ||||
\(407\) | −22.9268 | − | 6.73190i | −1.13644 | − | 0.333688i | ||||
\(408\) | 0.288745 | − | 21.0078i | 0.0142950 | − | 1.04004i | ||||
\(409\) | −6.70333 | + | 14.6782i | −0.331458 | + | 0.725792i | −0.999837 | − | 0.0180283i | \(-0.994261\pi\) |
0.668379 | + | 0.743821i | \(0.266988\pi\) | |||||||
\(410\) | −1.28606 | + | 6.51201i | −0.0635138 | + | 0.321605i | ||||
\(411\) | 0.141776 | − | 0.220608i | 0.00699330 | − | 0.0108818i | ||||
\(412\) | −16.7332 | − | 23.9602i | −0.824387 | − | 1.18043i | ||||
\(413\) | − | 26.9843i | − | 1.32781i | ||||||
\(414\) | 0.00689642 | + | 6.78233i | 0.000338941 | + | 0.333333i | ||||
\(415\) | −4.31929 | −0.212025 | ||||||||
\(416\) | 5.58409 | + | 11.4693i | 0.273783 | + | 0.562326i | ||||
\(417\) | 7.27456 | + | 4.67508i | 0.356237 | + | 0.228939i | ||||
\(418\) | 28.1737 | + | 5.56402i | 1.37802 | + | 0.272145i | ||||
\(419\) | 7.69258 | + | 3.51308i | 0.375807 | + | 0.171625i | 0.594359 | − | 0.804200i | \(-0.297406\pi\) |
−0.218552 | + | 0.975825i | \(0.570133\pi\) | |||||||
\(420\) | −0.243987 | − | 6.34453i | −0.0119054 | − | 0.309581i | ||||
\(421\) | −9.50846 | + | 32.3828i | −0.463414 | + | 1.57824i | 0.314109 | + | 0.949387i | \(0.398294\pi\) |
−0.777522 | + | 0.628855i | \(0.783524\pi\) | |||||||
\(422\) | 15.4930 | − | 8.85047i | 0.754185 | − | 0.430834i | ||||
\(423\) | 2.77173 | + | 6.06924i | 0.134766 | + | 0.295096i | ||||
\(424\) | 27.2685 | − | 3.53883i | 1.32427 | − | 0.171861i | ||||
\(425\) | −20.9570 | + | 24.1857i | −1.01656 | + | 1.17318i | ||||
\(426\) | 2.93014 | − | 3.04499i | 0.141966 | − | 0.147530i | ||||
\(427\) | 4.14137 | + | 14.1042i | 0.200415 | + | 0.682551i | ||||
\(428\) | −16.8588 | + | 5.66247i | −0.814902 | + | 0.273706i | ||||
\(429\) | 4.13362 | + | 6.43204i | 0.199573 | + | 0.310542i | ||||
\(430\) | −0.641971 | + | 1.82772i | −0.0309586 | + | 0.0881405i | ||||
\(431\) | 0.979740 | + | 6.81424i | 0.0471924 | + | 0.328230i | 0.999717 | + | 0.0237701i | \(0.00756697\pi\) |
−0.952525 | + | 0.304460i | \(0.901524\pi\) | |||||||
\(432\) | 3.21524 | + | 2.37954i | 0.154693 | + | 0.114486i | ||||
\(433\) | −1.02133 | + | 7.10349i | −0.0490819 | + | 0.341372i | 0.950453 | + | 0.310869i | \(0.100620\pi\) |
−0.999535 | + | 0.0305030i | \(0.990289\pi\) | |||||||
\(434\) | −20.5435 | + | 28.5713i | −0.986117 | + | 1.37147i | ||||
\(435\) | 4.39239 | − | 3.80603i | 0.210599 | − | 0.182485i | ||||
\(436\) | −3.61543 | + | 34.5172i | −0.173148 | + | 1.65307i | ||||
\(437\) | −9.54623 | − | 27.0904i | −0.456658 | − | 1.29591i | ||||
\(438\) | 16.7696 | + | 0.875853i | 0.801284 | + | 0.0418499i | ||||
\(439\) | 1.75095 | + | 2.02070i | 0.0835682 | + | 0.0964428i | 0.795994 | − | 0.605305i | \(-0.206949\pi\) |
−0.712426 | + | 0.701748i | \(0.752403\pi\) | |||||||
\(440\) | 5.30547 | − | 5.95546i | 0.252929 | − | 0.283915i | ||||
\(441\) | 1.07725 | − | 7.49246i | 0.0512978 | − | 0.356784i | ||||
\(442\) | −10.9512 | + | 21.0056i | −0.520898 | + | 0.999135i | ||||
\(443\) | 20.5146 | − | 2.94956i | 0.974678 | − | 0.140138i | 0.363469 | − | 0.931606i | \(-0.381592\pi\) |
0.611210 | + | 0.791469i | \(0.290683\pi\) | |||||||
\(444\) | 13.0367 | + | 5.35822i | 0.618695 | + | 0.254290i | ||||
\(445\) | −7.91539 | − | 12.3166i | −0.375226 | − | 0.583863i | ||||
\(446\) | 1.80956 | − | 0.714836i | 0.0856850 | − | 0.0338485i | ||||
\(447\) | −5.13255 | + | 1.50705i | −0.242761 | + | 0.0712812i | ||||
\(448\) | 26.1326 | − | 15.7968i | 1.23465 | − | 0.746327i | ||||
\(449\) | 13.0936 | − | 15.1108i | 0.617925 | − | 0.713123i | −0.357387 | − | 0.933957i | \(-0.616332\pi\) |
0.975312 | + | 0.220833i | \(0.0708776\pi\) | |||||||
\(450\) | −1.40929 | − | 5.92759i | −0.0664348 | − | 0.279429i | ||||
\(451\) | −17.4050 | + | 7.94861i | −0.819571 | + | 0.374286i | ||||
\(452\) | 3.82593 | − | 1.92824i | 0.179957 | − | 0.0906969i | ||||
\(453\) | 1.41968 | − | 4.83500i | 0.0667025 | − | 0.227168i | ||||
\(454\) | −0.601934 | − | 6.62431i | −0.0282502 | − | 0.310894i | ||||
\(455\) | −2.97390 | + | 6.51193i | −0.139418 | + | 0.305284i | ||||
\(456\) | −16.1867 | − | 4.99548i | −0.758011 | − | 0.233935i | ||||
\(457\) | −22.5392 | − | 14.4851i | −1.05434 | − | 0.677582i | −0.105846 | − | 0.994382i | \(-0.533755\pi\) |
−0.948492 | + | 0.316800i | \(0.897392\pi\) | |||||||
\(458\) | 7.35353 | + | 9.43945i | 0.343608 | + | 0.441077i | ||||
\(459\) | 7.42809i | 0.346714i | ||||||||
\(460\) | −7.82782 | − | 1.53765i | −0.364974 | − | 0.0716931i | ||||
\(461\) | − | 24.1988i | − | 1.12705i | −0.826099 | − | 0.563525i | \(-0.809445\pi\) | ||
0.826099 | − | 0.563525i | \(-0.190555\pi\) | |||||||
\(462\) | 14.4383 | − | 11.2477i | 0.671729 | − | 0.523291i | ||||
\(463\) | 9.44766 | + | 6.07164i | 0.439070 | + | 0.282173i | 0.741442 | − | 0.671017i | \(-0.234142\pi\) |
−0.302372 | + | 0.953190i | \(0.597779\pi\) | |||||||
\(464\) | 26.2428 | + | 9.62474i | 1.21829 | + | 0.446817i | ||||
\(465\) | 2.25235 | − | 4.93195i | 0.104450 | − | 0.228714i | ||||
\(466\) | 17.2434 | − | 1.56686i | 0.798786 | − | 0.0725835i | ||||
\(467\) | 5.40475 | − | 18.4069i | 0.250102 | − | 0.851770i | −0.734745 | − | 0.678344i | \(-0.762698\pi\) |
0.984847 | − | 0.173426i | \(-0.0554837\pi\) | |||||||
\(468\) | −2.02982 | − | 4.02748i | −0.0938284 | − | 0.186170i | ||||
\(469\) | 3.08738 | − | 1.40996i | 0.142562 | − | 0.0651059i | ||||
\(470\) | −7.63504 | + | 1.81524i | −0.352178 | + | 0.0837310i | ||||
\(471\) | 5.53663 | − | 6.38961i | 0.255115 | − | 0.294418i | ||||
\(472\) | −15.2902 | + | 12.8854i | −0.703787 | + | 0.593098i | ||||
\(473\) | −5.35795 | + | 1.57324i | −0.246359 | + | 0.0723375i | ||||
\(474\) | 2.76652 | + | 7.00324i | 0.127070 | + | 0.321669i | ||||
\(475\) | 13.9502 | + | 21.7069i | 0.640079 | + | 0.995982i | ||||
\(476\) | 52.4488 | + | 21.5570i | 2.40399 | + | 0.988063i | ||||
\(477\) | −9.62275 | + | 1.38354i | −0.440596 | + | 0.0633481i | ||||
\(478\) | −0.896375 | − | 0.467324i | −0.0409992 | − | 0.0213749i | ||||
\(479\) | −0.371521 | + | 2.58399i | −0.0169752 | + | 0.118065i | −0.996547 | − | 0.0830288i | \(-0.973541\pi\) |
0.979572 | + | 0.201094i | \(0.0644497\pi\) | |||||||
\(480\) | −3.47851 | + | 3.16786i | −0.158771 | + | 0.144592i | ||||
\(481\) | −10.4072 | − | 12.0106i | −0.474528 | − | 0.547635i | ||||
\(482\) | 1.09472 | − | 20.9601i | 0.0498630 | − | 0.954708i | ||||
\(483\) | −17.0322 | − | 6.70830i | −0.774994 | − | 0.305238i | ||||
\(484\) | 0.986102 | + | 0.103287i | 0.0448228 | + | 0.00469487i | ||||
\(485\) | −10.8441 | + | 9.39650i | −0.492407 | + | 0.426673i | ||||
\(486\) | −1.14821 | − | 0.825593i | −0.0520841 | − | 0.0374497i | ||||
\(487\) | 0.409020 | − | 2.84480i | 0.0185345 | − | 0.128910i | −0.978453 | − | 0.206468i | \(-0.933803\pi\) |
0.996988 | + | 0.0775578i | \(0.0247122\pi\) | |||||||
\(488\) | 6.01434 | − | 9.08160i | 0.272256 | − | 0.411105i | ||||
\(489\) | 2.77308 | + | 19.2872i | 0.125403 | + | 0.872196i | ||||
\(490\) | 8.40019 | + | 2.95049i | 0.379482 | + | 0.133290i | ||||
\(491\) | 6.27959 | + | 9.77123i | 0.283394 | + | 0.440970i | 0.953543 | − | 0.301257i | \(-0.0974062\pi\) |
−0.670149 | + | 0.742227i | \(0.733770\pi\) | |||||||
\(492\) | 10.6994 | − | 3.59367i | 0.482366 | − | 0.162015i | ||||
\(493\) | 14.6241 | + | 49.8051i | 0.658636 | + | 2.24311i | ||||
\(494\) | 13.7629 | + | 13.2438i | 0.619222 | + | 0.595867i | ||||
\(495\) | −1.84665 | + | 2.13115i | −0.0830009 | + | 0.0957882i | ||||
\(496\) | 25.9992 | − | 2.00263i | 1.16740 | − | 0.0899208i | ||||
\(497\) | 4.73808 | + | 10.3749i | 0.212532 | + | 0.465380i | ||||
\(498\) | 3.64305 | + | 6.37723i | 0.163249 | + | 0.285771i | ||||
\(499\) | 6.42345 | − | 21.8763i | 0.287553 | − | 0.979316i | −0.681367 | − | 0.731942i | \(-0.738614\pi\) |
0.968920 | − | 0.247374i | \(-0.0795677\pi\) | |||||||
\(500\) | 15.4720 | − | 0.594996i | 0.691928 | − | 0.0266090i | ||||
\(501\) | −11.2824 | − | 5.15252i | −0.504062 | − | 0.230197i | ||||
\(502\) | −1.99722 | + | 10.1130i | −0.0891401 | + | 0.451365i | ||||
\(503\) | −18.0183 | − | 11.5797i | −0.803397 | − | 0.516312i | 0.0733256 | − | 0.997308i | \(-0.476639\pi\) |
−0.876723 | + | 0.480996i | \(0.840275\pi\) | |||||||
\(504\) | −9.16163 | + | 5.71145i | −0.408091 | + | 0.254408i | ||||
\(505\) | −13.0526 | −0.580835 | ||||||||
\(506\) | −9.57404 | − | 20.9079i | −0.425618 | − | 0.929471i | ||||
\(507\) | − | 7.91482i | − | 0.351509i | ||||||
\(508\) | 8.28151 | + | 11.8582i | 0.367433 | + | 0.526123i | ||||
\(509\) | 6.40040 | − | 9.95922i | 0.283693 | − | 0.441435i | −0.669936 | − | 0.742419i | \(-0.733679\pi\) |
0.953629 | + | 0.300984i | \(0.0973150\pi\) | |||||||
\(510\) | −8.57140 | − | 1.69277i | −0.379548 | − | 0.0749569i | ||||
\(511\) | −18.8280 | + | 41.2276i | −0.832902 | + | 1.82380i | ||||
\(512\) | −21.4296 | − | 7.26437i | −0.947065 | − | 0.321043i | ||||
\(513\) | 5.74659 | + | 1.68735i | 0.253718 | + | 0.0744984i | ||||
\(514\) | −17.7957 | − | 31.1518i | −0.784936 | − | 1.37405i | ||||
\(515\) | −11.0549 | + | 5.04861i | −0.487138 | + | 0.222468i | ||||
\(516\) | 3.24001 | − | 0.593725i | 0.142633 | − | 0.0261373i | ||||
\(517\) | −17.0968 | − | 14.8145i | −0.751917 | − | 0.651539i | ||||
\(518\) | −26.3782 | + | 27.4121i | −1.15899 | + | 1.20442i | ||||
\(519\) | −3.09955 | + | 0.910111i | −0.136055 | + | 0.0399494i | ||||
\(520\) | 5.10995 | − | 1.42443i | 0.224086 | − | 0.0624655i | ||||
\(521\) | 2.17658 | − | 1.39880i | 0.0953578 | − | 0.0612827i | −0.492093 | − | 0.870543i | \(-0.663768\pi\) |
0.587451 | + | 0.809260i | \(0.300132\pi\) | |||||||
\(522\) | −9.32413 | − | 3.27502i | −0.408106 | − | 0.143344i | ||||
\(523\) | −11.1116 | + | 1.59760i | −0.485874 | + | 0.0698582i | −0.380899 | − | 0.924617i | \(-0.624385\pi\) |
−0.104975 | + | 0.994475i | \(0.533476\pi\) | |||||||
\(524\) | 29.7427 | + | 17.5373i | 1.29932 | + | 0.766119i | ||||
\(525\) | 16.2773 | + | 2.34032i | 0.710399 | + | 0.102140i | ||||
\(526\) | −10.2866 | + | 14.3064i | −0.448518 | + | 0.623788i | ||||
\(527\) | 31.7111 | + | 36.5965i | 1.38136 | + | 1.59417i | ||||
\(528\) | −13.2678 | − | 2.81025i | −0.577407 | − | 0.122300i | ||||
\(529\) | −13.1307 | + | 18.8834i | −0.570901 | + | 0.821019i | ||||
\(530\) | 0.596406 | − | 11.4192i | 0.0259062 | − | 0.496016i | ||||
\(531\) | 5.34277 | − | 4.62954i | 0.231857 | − | 0.200905i | ||||
\(532\) | 28.5913 | − | 35.6791i | 1.23959 | − | 1.54688i | ||||
\(533\) | −12.5965 | − | 1.81111i | −0.545616 | − | 0.0784477i | ||||
\(534\) | −11.5088 | + | 22.0750i | −0.498033 | + | 0.955279i | ||||
\(535\) | 1.05251 | + | 7.32037i | 0.0455040 | + | 0.316487i | ||||
\(536\) | −2.27320 | − | 1.07613i | −0.0981872 | − | 0.0464819i | ||||
\(537\) | −6.03174 | + | 3.87637i | −0.260289 | + | 0.167278i | ||||
\(538\) | 4.33056 | + | 10.9625i | 0.186704 | + | 0.472627i | ||||
\(539\) | 7.23058 | + | 24.6251i | 0.311443 | + | 1.06068i | ||||
\(540\) | 1.21433 | − | 1.13680i | 0.0522564 | − | 0.0489202i | ||||
\(541\) | −3.73329 | − | 3.23491i | −0.160507 | − | 0.139080i | 0.570905 | − | 0.821016i | \(-0.306593\pi\) |
−0.731411 | + | 0.681937i | \(0.761138\pi\) | |||||||
\(542\) | 1.34816 | + | 5.67046i | 0.0579086 | + | 0.243567i | ||||
\(543\) | −8.82146 | − | 19.3163i | −0.378565 | − | 0.828942i | ||||
\(544\) | −12.8302 | − | 40.0129i | −0.550089 | − | 1.71554i | ||||
\(545\) | 13.8479 | + | 4.06612i | 0.593180 | + | 0.174173i | ||||
\(546\) | 12.1229 | − | 1.10157i | 0.518811 | − | 0.0471430i | ||||
\(547\) | −31.4439 | − | 14.3599i | −1.34444 | − | 0.613986i | −0.392356 | − | 0.919814i | \(-0.628340\pi\) |
−0.952087 | + | 0.305827i | \(0.901067\pi\) | |||||||
\(548\) | 0.128314 | − | 0.508536i | 0.00548132 | − | 0.0217236i | ||||
\(549\) | −2.08206 | + | 3.23975i | −0.0888602 | + | 0.138269i | ||||
\(550\) | 12.6954 | + | 16.2966i | 0.541332 | + | 0.694887i | ||||
\(551\) | 41.8527 | 1.78298 | ||||||||
\(552\) | 4.33200 | + | 12.8543i | 0.184382 | + | 0.547117i | ||||
\(553\) | −20.3233 | −0.864236 | ||||||||
\(554\) | −15.2380 | − | 19.5605i | −0.647402 | − | 0.831046i | ||||
\(555\) | 3.16890 | − | 4.93091i | 0.134512 | − | 0.209305i | ||||
\(556\) | 16.7690 | + | 4.23117i | 0.711164 | + | 0.179442i | ||||
\(557\) | −29.6855 | − | 13.5569i | −1.25782 | − | 0.574425i | −0.328777 | − | 0.944408i | \(-0.606637\pi\) |
−0.929039 | + | 0.369982i | \(0.879364\pi\) | |||||||
\(558\) | −9.18151 | + | 0.834300i | −0.388685 | + | 0.0353187i | ||||
\(559\) | −3.56355 | − | 1.04635i | −0.150722 | − | 0.0442561i | ||||
\(560\) | −4.50272 | − | 11.8733i | −0.190275 | − | 0.501740i | ||||
\(561\) | −10.4623 | − | 22.9093i | −0.441719 | − | 0.967231i | ||||
\(562\) | −7.37329 | − | 31.0126i | −0.311024 | − | 1.30819i | ||||
\(563\) | −17.2392 | − | 14.9379i | −0.726546 | − | 0.629555i | 0.210972 | − | 0.977492i | \(-0.432337\pi\) |
−0.937518 | + | 0.347937i | \(0.886882\pi\) | |||||||
\(564\) | 9.11980 | + | 9.74175i | 0.384013 | + | 0.410202i | ||||
\(565\) | −0.501953 | − | 1.70949i | −0.0211173 | − | 0.0719189i | ||||
\(566\) | −0.499118 | − | 1.26348i | −0.0209795 | − | 0.0531081i | ||||
\(567\) | 3.21107 | − | 2.06363i | 0.134852 | − | 0.0866642i | ||||
\(568\) | 3.61628 | − | 7.63894i | 0.151736 | − | 0.320523i | ||||
\(569\) | −3.01328 | − | 20.9578i | −0.126323 | − | 0.878596i | −0.950159 | − | 0.311767i | \(-0.899079\pi\) |
0.823835 | − | 0.566829i | \(-0.191830\pi\) | |||||||
\(570\) | −3.25664 | + | 6.24656i | −0.136406 | + | 0.261640i | ||||
\(571\) | −28.3459 | − | 4.07552i | −1.18624 | − | 0.170555i | −0.479184 | − | 0.877714i | \(-0.659067\pi\) |
−0.707055 | + | 0.707159i | \(0.749976\pi\) | |||||||
\(572\) | 11.9329 | + | 9.56235i | 0.498938 | + | 0.399822i | ||||
\(573\) | −13.8617 | + | 12.0112i | −0.579081 | + | 0.501777i | ||||
\(574\) | −1.58889 | + | 30.4219i | −0.0663191 | + | 1.26979i | ||||
\(575\) | 7.57169 | − | 19.2244i | 0.315761 | − | 0.801712i | ||||
\(576\) | 7.61110 | + | 2.46398i | 0.317129 | + | 0.102666i | ||||
\(577\) | 6.65166 | + | 7.67643i | 0.276912 | + | 0.319574i | 0.877121 | − | 0.480270i | \(-0.159461\pi\) |
−0.600209 | + | 0.799844i | \(0.704916\pi\) | |||||||
\(578\) | 31.5183 | − | 43.8348i | 1.31099 | − | 1.82329i | ||||
\(579\) | −15.8025 | − | 2.27206i | −0.656729 | − | 0.0944234i | ||||
\(580\) | 5.90395 | − | 10.0129i | 0.245148 | − | 0.415765i | ||||
\(581\) | −19.6211 | + | 2.82109i | −0.814020 | + | 0.117038i | ||||
\(582\) | 23.0199 | + | 8.08554i | 0.954204 | + | 0.335156i | ||||
\(583\) | 27.7292 | − | 17.8205i | 1.14843 | − | 0.738050i | ||||
\(584\) | 32.3515 | − | 9.01821i | 1.33872 | − | 0.373176i | ||||
\(585\) | −1.79955 | + | 0.528395i | −0.0744021 | + | 0.0218464i | ||||
\(586\) | 6.38043 | − | 6.63052i | 0.263573 | − | 0.273904i | ||||
\(587\) | 14.3191 | + | 12.4076i | 0.591014 | + | 0.512116i | 0.898231 | − | 0.439523i | \(-0.144853\pi\) |
−0.307218 | + | 0.951639i | \(0.599398\pi\) | |||||||
\(588\) | −2.72875 | − | 14.8911i | −0.112532 | − | 0.614097i | ||||
\(589\) | 35.5156 | − | 16.2194i | 1.46339 | − | 0.668310i | ||||
\(590\) | 4.12456 | + | 7.22013i | 0.169805 | + | 0.297248i | ||||
\(591\) | 8.59165 | + | 2.52274i | 0.353413 | + | 0.103771i | ||||
\(592\) | 28.1286 | + | 1.85706i | 1.15608 | + | 0.0763249i | ||||
\(593\) | −9.35760 | + | 20.4903i | −0.384271 | + | 0.841435i | 0.614355 | + | 0.789029i | \(0.289416\pi\) |
−0.998626 | + | 0.0524056i | \(0.983311\pi\) | |||||||
\(594\) | 4.70409 | + | 0.929010i | 0.193011 | + | 0.0381177i | ||||
\(595\) | 12.7490 | − | 19.8378i | 0.522658 | − | 0.813272i | ||||
\(596\) | −8.77121 | + | 6.12561i | −0.359283 | + | 0.250915i | ||||
\(597\) | 3.69675i | 0.151298i | ||||||||
\(598\) | 2.16122 | − | 15.1409i | 0.0883791 | − | 0.619158i | ||||
\(599\) | 28.4392 | 1.16199 | 0.580997 | − | 0.813906i | \(-0.302663\pi\) | ||||
0.580997 | + | 0.813906i | \(0.302663\pi\) | |||||||
\(600\) | −6.44654 | − | 10.3408i | −0.263179 | − | 0.422161i | ||||
\(601\) | 37.1777 | + | 23.8927i | 1.51651 | + | 0.974602i | 0.992414 | + | 0.122944i | \(0.0392334\pi\) |
0.524097 | + | 0.851659i | \(0.324403\pi\) | |||||||
\(602\) | −1.72251 | + | 8.72203i | −0.0702043 | + | 0.355483i | ||||
\(603\) | 0.808850 | + | 0.369389i | 0.0329389 | + | 0.0150427i | ||||
\(604\) | −0.387285 | − | 10.0708i | −0.0157584 | − | 0.409775i | ||||
\(605\) | 0.116163 | − | 0.395613i | 0.00472268 | − | 0.0160840i | ||||
\(606\) | 11.0091 | + | 19.2716i | 0.447213 | + | 0.782856i | ||||
\(607\) | −3.34591 | − | 7.32651i | −0.135806 | − | 0.297374i | 0.829495 | − | 0.558515i | \(-0.188629\pi\) |
−0.965301 | + | 0.261141i | \(0.915901\pi\) | |||||||
\(608\) | −33.8697 | + | 0.836535i | −1.37360 | + | 0.0339260i | ||||
\(609\) | 17.4673 | − | 20.1584i | 0.707812 | − | 0.816858i | ||||
\(610\) | −3.26393 | − | 3.14082i | −0.132153 | − | 0.127168i | ||||
\(611\) | −4.23896 | − | 14.4366i | −0.171490 | − | 0.584041i | ||||
\(612\) | 4.73015 | + | 14.0830i | 0.191205 | + | 0.569273i | ||||
\(613\) | −3.79315 | − | 5.90226i | −0.153204 | − | 0.238390i | 0.756164 | − | 0.654382i | \(-0.227071\pi\) |
−0.909369 | + | 0.415991i | \(0.863435\pi\) | |||||||
\(614\) | 38.1088 | + | 13.3854i | 1.53795 | + | 0.540190i | ||||
\(615\) | −0.667973 | − | 4.64585i | −0.0269353 | − | 0.187339i | ||||
\(616\) | 20.2113 | − | 30.5189i | 0.814336 | − | 1.22964i | ||||
\(617\) | −1.50775 | + | 10.4866i | −0.0606997 | + | 0.422176i | 0.936702 | + | 0.350129i | \(0.113862\pi\) |
−0.997401 | + | 0.0720469i | \(0.977047\pi\) | |||||||
\(618\) | 16.7782 | + | 12.0639i | 0.674917 | + | 0.485282i | ||||
\(619\) | −31.5068 | + | 27.3008i | −1.26636 | + | 1.09731i | −0.275663 | + | 0.961254i | \(0.588898\pi\) |
−0.990701 | + | 0.136057i | \(0.956557\pi\) | |||||||
\(620\) | 1.12963 | − | 10.7848i | 0.0453672 | − | 0.433129i | ||||
\(621\) | −1.59391 | − | 4.52321i | −0.0639614 | − | 0.181510i | ||||
\(622\) | 0.488083 | − | 9.34514i | 0.0195703 | − | 0.374706i | ||||
\(623\) | −44.0015 | − | 50.7804i | −1.76288 | − | 2.03447i | ||||
\(624\) | −6.41303 | − | 6.34319i | −0.256727 | − | 0.253931i | ||||
\(625\) | −2.14932 | + | 14.9488i | −0.0859727 | + | 0.597953i | ||||
\(626\) | 5.38039 | + | 2.80506i | 0.215044 | + | 0.112113i | ||||
\(627\) | −20.0999 | + | 2.88993i | −0.802713 | + | 0.115413i | ||||
\(628\) | 6.42813 | − | 15.6398i | 0.256511 | − | 0.624098i | ||||
\(629\) | 28.3021 | + | 44.0389i | 1.12848 | + | 1.75594i | ||||
\(630\) | 1.64949 | + | 4.17558i | 0.0657174 | + | 0.166359i | ||||
\(631\) | 3.11870 | − | 0.915733i | 0.124153 | − | 0.0364547i | −0.219066 | − | 0.975710i | \(-0.570301\pi\) |
0.343219 | + | 0.939255i | \(0.388483\pi\) | |||||||
\(632\) | 9.70468 | + | 11.5159i | 0.386032 | + | 0.458076i | ||||
\(633\) | −8.26218 | + | 9.53507i | −0.328392 | + | 0.378985i | ||||
\(634\) | −0.416211 | + | 0.0989550i | −0.0165299 | + | 0.00393001i | ||||
\(635\) | 5.47123 | − | 2.49863i | 0.217119 | − | 0.0991551i | ||||
\(636\) | −17.3629 | + | 8.75077i | −0.688484 | + | 0.346991i | ||||
\(637\) | −4.80903 | + | 16.3781i | −0.190541 | + | 0.648923i | ||||
\(638\) | 33.3698 | − | 3.03222i | 1.32112 | − | 0.120047i | ||||
\(639\) | −1.24131 | + | 2.71809i | −0.0491054 | + | 0.107526i | ||||
\(640\) | −4.57769 | + | 8.22107i | −0.180949 | + | 0.324966i | ||||
\(641\) | 3.34401 | + | 2.14907i | 0.132081 | + | 0.0848831i | 0.605013 | − | 0.796216i | \(-0.293168\pi\) |
−0.472932 | + | 0.881099i | \(0.656804\pi\) | |||||||
\(642\) | 9.92047 | − | 7.72826i | 0.391530 | − | 0.305010i | ||||
\(643\) | − | 10.5695i | − | 0.416821i | −0.978041 | − | 0.208410i | \(-0.933171\pi\) | ||
0.978041 | − | 0.208410i | \(-0.0668290\pi\) | |||||||
\(644\) | −36.5635 | − | 1.87238i | −1.44080 | − | 0.0737821i | ||||
\(645\) | − | 1.36980i | − | 0.0539357i | ||||||
\(646\) | −38.6651 | − | 49.6329i | −1.52126 | − | 1.95278i | ||||
\(647\) | −12.0761 | − | 7.76084i | −0.474760 | − | 0.305110i | 0.281291 | − | 0.959623i | \(-0.409237\pi\) |
−0.756051 | + | 0.654513i | \(0.772874\pi\) | |||||||
\(648\) | −2.70265 | − | 0.834082i | −0.106170 | − | 0.0327658i | ||||
\(649\) | −9.95725 | + | 21.8033i | −0.390856 | + | 0.855856i | ||||
\(650\) | 1.24335 | + | 13.6831i | 0.0487682 | + | 0.536697i | ||||
\(651\) | 7.01043 | − | 23.8753i | 0.274760 | − | 0.935747i | ||||
\(652\) | 17.5394 | + | 34.8010i | 0.686897 | + | 1.36291i | ||||
\(653\) | 17.3101 | − | 7.90526i | 0.677397 | − | 0.309357i | −0.0468455 | − | 0.998902i | \(-0.514917\pi\) |
0.724243 | + | 0.689545i | \(0.242190\pi\) | |||||||
\(654\) | −5.67641 | − | 23.8753i | −0.221965 | − | 0.933600i | ||||
\(655\) | 9.40283 | − | 10.8514i | 0.367399 | − | 0.424001i | ||||
\(656\) | 17.9968 | − | 13.6266i | 0.702655 | − | 0.532029i | ||||
\(657\) | −11.3931 | + | 3.34531i | −0.444487 | + | 0.130513i | ||||
\(658\) | −33.4979 | + | 13.2328i | −1.30588 | + | 0.515868i | ||||
\(659\) | −2.64373 | − | 4.11372i | −0.102985 | − | 0.160248i | 0.785937 | − | 0.618307i | \(-0.212181\pi\) |
−0.888922 | + | 0.458059i | \(0.848545\pi\) | |||||||
\(660\) | −2.14400 | + | 5.21642i | −0.0834551 | + | 0.203049i | ||||
\(661\) | −29.4921 | + | 4.24033i | −1.14711 | + | 0.164930i | −0.689543 | − | 0.724245i | \(-0.742188\pi\) |
−0.457568 | + | 0.889175i | \(0.651279\pi\) | |||||||
\(662\) | −17.9271 | + | 34.3861i | −0.696758 | + | 1.33645i | ||||
\(663\) | 2.38386 | − | 16.5801i | 0.0925814 | − | 0.643918i | ||||
\(664\) | 10.9679 | + | 9.77084i | 0.425636 | + | 0.379182i | ||||
\(665\) | −12.4511 | − | 14.3693i | −0.482833 | − | 0.557219i | ||||
\(666\) | −9.95304 | − | 0.519833i | −0.385672 | − | 0.0201431i | ||||
\(667\) | −19.5922 | − | 27.1900i | −0.758614 | − | 1.05280i | ||||
\(668\) | −24.6716 | − | 2.58418i | −0.954574 | − | 0.0999848i | ||||
\(669\) | −1.03974 | + | 0.900938i | −0.0401986 | + | 0.0348323i | ||||
\(670\) | −0.610571 | + | 0.849167i | −0.0235884 | + | 0.0328062i | ||||
\(671\) | 1.85825 | − | 12.9244i | 0.0717368 | − | 0.498941i | ||||
\(672\) | −13.7327 | + | 16.6625i | −0.529749 | + | 0.642769i | ||||
\(673\) | 2.14696 | + | 14.9324i | 0.0827592 | + | 0.575603i | 0.988436 | + | 0.151635i | \(0.0484540\pi\) |
−0.905677 | + | 0.423968i | \(0.860637\pi\) | |||||||
\(674\) | −6.58894 | + | 18.7590i | −0.253796 | + | 0.722569i | ||||
\(675\) | 2.32923 | + | 3.62435i | 0.0896520 | + | 0.139501i | ||||
\(676\) | −5.04009 | − | 15.0058i | −0.193850 | − | 0.577147i | ||||
\(677\) | −4.21888 | − | 14.3682i | −0.162145 | − | 0.552214i | −0.999980 | − | 0.00629112i | \(-0.997997\pi\) |
0.837836 | − | 0.545923i | \(-0.183821\pi\) | |||||||
\(678\) | −2.10063 | + | 2.18296i | −0.0806740 | + | 0.0838361i | ||||
\(679\) | −43.1242 | + | 49.7680i | −1.65495 | + | 1.90992i | ||||
\(680\) | −17.3286 | + | 2.24886i | −0.664521 | + | 0.0862397i | ||||
\(681\) | 1.95386 | + | 4.27836i | 0.0748721 | + | 0.163947i | ||||
\(682\) | 27.1420 | − | 15.5051i | 1.03932 | − | 0.593720i | ||||
\(683\) | −2.40861 | + | 8.20297i | −0.0921629 | + | 0.313878i | −0.992653 | − | 0.120999i | \(-0.961390\pi\) |
0.900490 | + | 0.434877i | \(0.143208\pi\) | |||||||
\(684\) | 11.9695 | − | 0.460305i | 0.457667 | − | 0.0176002i | ||||
\(685\) | −0.198394 | − | 0.0906034i | −0.00758024 | − | 0.00346178i | ||||
\(686\) | 3.01597 | + | 0.595624i | 0.115150 | + | 0.0227410i | ||||
\(687\) | −7.11786 | − | 4.57437i | −0.271563 | − | 0.174523i | ||||
\(688\) | 5.76471 | − | 3.18886i | 0.219777 | − | 0.121574i | ||||
\(689\) | 21.9228 | 0.835192 | ||||||||
\(690\) | 5.58264 | − | 0.808458i | 0.212528 | − | 0.0307775i | ||||
\(691\) | − | 6.72962i | − | 0.256007i | −0.991774 | − | 0.128003i | \(-0.959143\pi\) | ||
0.991774 | − | 0.128003i | \(-0.0408568\pi\) | |||||||
\(692\) | −5.29694 | + | 3.69926i | −0.201359 | + | 0.140625i | ||||
\(693\) | −6.99681 | + | 10.8872i | −0.265787 | + | 0.413572i | ||||
\(694\) | 1.74858 | − | 8.85403i | 0.0663752 | − | 0.336094i | ||||
\(695\) | 2.98765 | − | 6.54204i | 0.113328 | − | 0.248154i | ||||
\(696\) | −19.7633 | − | 0.271639i | −0.749125 | − | 0.0102964i | ||||
\(697\) | 40.2216 | + | 11.8101i | 1.52350 | + | 0.447341i | ||||
\(698\) | 24.1775 | − | 13.8116i | 0.915133 | − | 0.522777i | ||||
\(699\) | −11.1368 | + | 5.08599i | −0.421232 | + | 0.192370i | ||||
\(700\) | 32.3507 | − | 5.92819i | 1.22274 | − | 0.224065i | ||||
\(701\) | −8.03903 | − | 6.96586i | −0.303630 | − | 0.263097i | 0.489697 | − | 0.871893i | \(-0.337107\pi\) |
−0.793327 | + | 0.608796i | \(0.791653\pi\) | |||||||
\(702\) | 2.29796 | + | 2.21128i | 0.0867307 | + | 0.0834595i | ||||
\(703\) | 40.4988 | − | 11.8915i | 1.52744 | − | 0.448497i | ||||
\(704\) | −26.9442 | + | 3.12083i | −1.01550 | + | 0.117621i | ||||
\(705\) | 4.66835 | − | 3.00017i | 0.175820 | − | 0.112993i | ||||
\(706\) | 9.95732 | − | 28.3489i | 0.374749 | − | 1.06693i | ||||
\(707\) | −59.2938 | + | 8.52516i | −2.22997 | + | 0.320622i | ||||
\(708\) | 7.18139 | − | 12.1794i | 0.269893 | − | 0.457732i | ||||
\(709\) | −10.7071 | − | 1.53944i | −0.402113 | − | 0.0578151i | −0.0617083 | − | 0.998094i | \(-0.519655\pi\) |
−0.340404 | + | 0.940279i | \(0.610564\pi\) | |||||||
\(710\) | −2.85357 | − | 2.05179i | −0.107093 | − | 0.0770021i | ||||
\(711\) | −3.48676 | − | 4.02393i | −0.130764 | − | 0.150909i | ||||
\(712\) | −7.76248 | + | 49.1810i | −0.290911 | + | 1.84314i | ||||
\(713\) | −27.1628 | − | 15.4803i | −1.01725 | − | 0.579743i | ||||
\(714\) | −40.0427 | − | 2.09137i | −1.49856 | − | 0.0782676i | ||||
\(715\) | 4.80582 | − | 4.16427i | 0.179728 | − | 0.155735i | ||||
\(716\) | −8.96724 | + | 11.1902i | −0.335121 | + | 0.418198i | ||||
\(717\) | 0.707525 | + | 0.101727i | 0.0264230 | + | 0.00379905i | ||||
\(718\) | −3.16477 | − | 1.64995i | −0.118108 | − | 0.0615755i | ||||
\(719\) | 0.202660 | + | 1.40953i | 0.00755794 | + | 0.0525667i | 0.993251 | − | 0.115981i | \(-0.0370013\pi\) |
−0.985693 | + | 0.168548i | \(0.946092\pi\) | |||||||
\(720\) | 1.57836 | − | 2.92856i | 0.0588220 | − | 0.109141i | ||||
\(721\) | −46.9214 | + | 30.1546i | −1.74745 | + | 1.12301i | ||||
\(722\) | −22.1898 | + | 8.76572i | −0.825818 | + | 0.326226i | ||||
\(723\) | 4.18126 | + | 14.2401i | 0.155503 | + | 0.529594i | ||||
\(724\) | −29.0252 | − | 31.0046i | −1.07871 | − | 1.15228i | ||||
\(725\) | 22.7529 | + | 19.7155i | 0.845020 | + | 0.732214i | ||||
\(726\) | −0.682081 | + | 0.162166i | −0.0253144 | + | 0.00601855i | ||||
\(727\) | −18.1118 | − | 39.6593i | −0.671729 | − | 1.47088i | −0.871175 | − | 0.490972i | \(-0.836642\pi\) |
0.199446 | − | 0.979909i | \(-0.436086\pi\) | |||||||
\(728\) | 22.2825 | − | 9.80823i | 0.825843 | − | 0.363517i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −1.26388 | − | 13.9090i | −0.0467782 | − | 0.514797i | ||||
\(731\) | 11.1284 | + | 5.08215i | 0.411597 | + | 0.187970i | ||||
\(732\) | −1.88437 | + | 7.46813i | −0.0696482 | + | 0.276030i | ||||
\(733\) | −6.68055 | + | 10.3951i | −0.246752 | + | 0.383953i | −0.942432 | − | 0.334399i | \(-0.891467\pi\) |
0.695680 | + | 0.718352i | \(0.255103\pi\) | |||||||
\(734\) | 1.37878 | − | 1.07409i | 0.0508915 | − | 0.0396456i | ||||
\(735\) | −6.29558 | −0.232216 | ||||||||
\(736\) | 16.3986 | + | 21.6121i | 0.604462 | + | 0.796634i | ||||
\(737\) | −3.01489 | −0.111055 | ||||||||
\(738\) | −6.29600 | + | 4.90471i | −0.231759 | + | 0.180545i | ||||
\(739\) | −26.1367 | + | 40.6695i | −0.961455 | + | 1.49605i | −0.0958075 | + | 0.995400i | \(0.530543\pi\) |
−0.865648 | + | 0.500654i | \(0.833093\pi\) | |||||||
\(740\) | 2.86801 | − | 11.3665i | 0.105430 | − | 0.417842i | ||||
\(741\) | −12.2854 | − | 5.61053i | −0.451314 | − | 0.206108i | ||||
\(742\) | −4.74900 | − | 52.2630i | −0.174341 | − | 1.91864i | ||||
\(743\) | −14.3370 | − | 4.20973i | −0.525974 | − | 0.154440i | 0.00795634 | − | 0.999968i | \(-0.497467\pi\) |
−0.533930 | + | 0.845528i | \(0.679286\pi\) | |||||||
\(744\) | −16.8761 | + | 7.42847i | −0.618708 | + | 0.272341i | ||||
\(745\) | 1.84817 | + | 4.04693i | 0.0677117 | + | 0.148268i | ||||
\(746\) | 3.22117 | − | 0.765839i | 0.117935 | − | 0.0280394i | ||||
\(747\) | −3.92484 | − | 3.40089i | −0.143602 | − | 0.124432i | ||||
\(748\) | −34.4241 | − | 36.7718i | −1.25867 | − | 1.34451i | ||||
\(749\) | 9.56242 | + | 32.5666i | 0.349403 | + | 1.18996i | ||||
\(750\) | −10.1827 | + | 4.02251i | −0.371820 | + | 0.146881i | ||||
\(751\) | −10.9686 | + | 7.04907i | −0.400249 | + | 0.257224i | −0.725245 | − | 0.688491i | \(-0.758273\pi\) |
0.324996 | + | 0.945715i | \(0.394637\pi\) | |||||||
\(752\) | 23.4938 | + | 12.6621i | 0.856732 | + | 0.461740i | ||||
\(753\) | −1.03735 | − | 7.21490i | −0.0378030 | − | 0.262926i | ||||
\(754\) | 19.7612 | + | 10.3025i | 0.719660 | + | 0.375194i | ||||
\(755\) | −4.14839 | − | 0.596448i | −0.150975 | − | 0.0217070i | ||||
\(756\) | 4.77381 | − | 5.95724i | 0.173622 | − | 0.216663i | ||||
\(757\) | 25.0027 | − | 21.6650i | 0.908738 | − | 0.787426i | −0.0689212 | − | 0.997622i | \(-0.521956\pi\) |
0.977659 | + | 0.210196i | \(0.0674102\pi\) | |||||||
\(758\) | −12.3129 | − | 0.643084i | −0.447224 | − | 0.0233579i | ||||
\(759\) | 11.2867 | + | 11.7052i | 0.409681 | + | 0.424873i | ||||
\(760\) | −2.19655 | + | 13.9168i | −0.0796772 | + | 0.504814i | ||||
\(761\) | −10.6057 | − | 12.2397i | −0.384457 | − | 0.443687i | 0.530228 | − | 0.847855i | \(-0.322106\pi\) |
−0.914685 | + | 0.404168i | \(0.867561\pi\) | |||||||
\(762\) | −8.30375 | − | 5.97060i | −0.300813 | − | 0.216292i | ||||
\(763\) | 65.5623 | + | 9.42643i | 2.37351 | + | 0.341260i | ||||
\(764\) | −18.6320 | + | 31.5993i | −0.674081 | + | 1.14322i | ||||
\(765\) | 6.11508 | − | 0.879215i | 0.221091 | − | 0.0317881i | ||||
\(766\) | −17.6981 | + | 50.3871i | −0.639457 | + | 1.82056i | ||||
\(767\) | −13.4112 | + | 8.61888i | −0.484252 | + | 0.311210i | ||||
\(768\) | 15.9990 | − | 0.175194i | 0.577316 | − | 0.00632177i | ||||
\(769\) | −10.9513 | + | 3.21560i | −0.394914 | + | 0.115957i | −0.473159 | − | 0.880977i | \(-0.656887\pi\) |
0.0782450 | + | 0.996934i | \(0.475068\pi\) | |||||||
\(770\) | −10.9685 | − | 10.5548i | −0.395277 | − | 0.380368i | ||||
\(771\) | 19.1723 | + | 16.6129i | 0.690472 | + | 0.598298i | ||||
\(772\) | −31.4070 | + | 5.75527i | −1.13036 | + | 0.207137i | ||||
\(773\) | 7.85729 | − | 3.58830i | 0.282607 | − | 0.129062i | −0.269069 | − | 0.963121i | \(-0.586716\pi\) |
0.551676 | + | 0.834059i | \(0.313989\pi\) | |||||||
\(774\) | −2.02244 | + | 1.15534i | −0.0726952 | + | 0.0415277i | ||||
\(775\) | 26.9482 | + | 7.91271i | 0.968008 | + | 0.284233i | ||||
\(776\) | 48.7925 | + | 0.670635i | 1.75155 | + | 0.0240744i | ||||
\(777\) | 11.1747 | − | 24.4692i | 0.400891 | − | 0.877829i | ||||
\(778\) | 6.63298 | − | 33.5864i | 0.237804 | − | 1.20413i | ||||
\(779\) | 18.2733 | − | 28.4339i | 0.654710 | − | 1.01875i | ||||
\(780\) | −3.07531 | + | 2.14773i | −0.110114 | + | 0.0769010i | ||||
\(781\) | − | 10.1313i | − | 0.362528i | ||||||
\(782\) | −14.1445 | + | 48.3534i | −0.505805 | + | 1.72912i | ||||
\(783\) | 6.98803 | 0.249732 | ||||||||
\(784\) | −14.6560 | − | 26.4945i | −0.523428 | − | 0.946234i | ||||
\(785\) | −5.91550 | − | 3.80166i | −0.211133 | − | 0.135687i | ||||
\(786\) | −23.9524 | − | 4.73035i | −0.854352 | − | 0.168726i | ||||
\(787\) | 33.2499 | + | 15.1847i | 1.18523 | + | 0.541277i | 0.907774 | − | 0.419460i | \(-0.137781\pi\) |
0.277458 | + | 0.960738i | \(0.410508\pi\) | |||||||
\(788\) | 17.8955 | − | 0.688195i | 0.637501 | − | 0.0245159i | ||||
\(789\) | 3.51030 | − | 11.9550i | 0.124970 | − | 0.425608i | ||||
\(790\) | 5.43787 | − | 3.10643i | 0.193471 | − | 0.110522i | ||||
\(791\) | −3.39674 | − | 7.43782i | −0.120774 | − | 0.264459i | ||||
\(792\) | 9.51014 | − | 1.23420i | 0.337928 | − | 0.0438554i | ||||
\(793\) | 5.68705 | − | 6.56320i | 0.201953 | − | 0.233066i | ||||
\(794\) | −27.7759 | + | 28.8646i | −0.985730 | + | 1.02437i | ||||
\(795\) | 2.27797 | + | 7.75804i | 0.0807912 | + | 0.275149i | ||||
\(796\) | 2.35406 | + | 7.00873i | 0.0834375 | + | 0.248418i | ||||
\(797\) | 26.3407 | + | 40.9870i | 0.933037 | + | 1.45183i | 0.891668 | + | 0.452690i | \(0.149535\pi\) |
0.0413685 | + | 0.999144i | \(0.486828\pi\) | |||||||
\(798\) | −10.7140 | + | 30.5031i | −0.379270 | + | 1.07980i | ||||
\(799\) | 7.05336 | + | 49.0572i | 0.249530 | + | 1.73552i | ||||
\(800\) | −18.8070 | − | 15.5001i | −0.664929 | − | 0.548013i | ||||
\(801\) | 2.50522 | − | 17.4242i | 0.0885176 | − | 0.615654i | ||||
\(802\) | −17.2261 | + | 23.9576i | −0.608274 | + | 0.845971i | ||||
\(803\) | 30.4261 | − | 26.3644i | 1.07371 | − | 0.930378i | ||||
\(804\) | 1.76874 | + | 0.185262i | 0.0623785 | + | 0.00653370i | ||||
\(805\) | −3.50652 | + | 14.8156i | −0.123589 | + | 0.522181i | ||||
\(806\) | 20.7616 | + | 1.08435i | 0.731298 | + | 0.0381946i | ||||
\(807\) | −5.45798 | − | 6.29885i | −0.192130 | − | 0.221730i | ||||
\(808\) | 33.1443 | + | 29.5269i | 1.16601 | + | 1.03875i | ||||
\(809\) | −3.24940 | + | 22.6001i | −0.114243 | + | 0.794576i | 0.849470 | + | 0.527636i | \(0.176922\pi\) |
−0.963713 | + | 0.266940i | \(0.913988\pi\) | |||||||
\(810\) | −0.543752 | + | 1.04297i | −0.0191055 | + | 0.0366463i | ||||
\(811\) | 28.1714 | − | 4.05044i | 0.989232 | − | 0.142230i | 0.371343 | − | 0.928496i | \(-0.378897\pi\) |
0.617889 | + | 0.786266i | \(0.287988\pi\) | |||||||
\(812\) | 20.2799 | − | 49.3416i | 0.711685 | − | 1.73155i | ||||
\(813\) | −2.22819 | − | 3.46713i | −0.0781461 | − | 0.121598i | ||||
\(814\) | 31.4288 | − | 12.4154i | 1.10158 | − | 0.435160i | ||||
\(815\) | 15.5497 | − | 4.56580i | 0.544682 | − | 0.159933i | ||||
\(816\) | 17.9359 | + | 23.6881i | 0.627883 | + | 0.829250i | ||||
\(817\) | 6.45960 | − | 7.45478i | 0.225993 | − | 0.260810i | ||||
\(818\) | −5.27846 | − | 22.2015i | −0.184557 | − | 0.776259i | ||||
\(819\) | −7.82963 | + | 3.57567i | −0.273590 | + | 0.124944i | ||||
\(820\) | −4.22486 | − | 8.38278i | −0.147538 | − | 0.292740i | ||||
\(821\) | 11.7705 | − | 40.0866i | 0.410793 | − | 1.39903i | −0.451341 | − | 0.892352i | \(-0.649054\pi\) |
0.862134 | − | 0.506681i | \(-0.169128\pi\) | |||||||
\(822\) | 0.0335608 | + | 0.369338i | 0.00117057 | + | 0.0128821i | ||||
\(823\) | −22.3354 | + | 48.9078i | −0.778564 | + | 1.70482i | −0.0717444 | + | 0.997423i | \(0.522857\pi\) |
−0.706819 | + | 0.707394i | \(0.749871\pi\) | |||||||
\(824\) | 39.4922 | + | 12.1880i | 1.37578 | + | 0.424587i | ||||
\(825\) | −12.2885 | − | 7.89733i | −0.427830 | − | 0.274950i | ||||
\(826\) | 23.4522 | + | 30.1048i | 0.816008 | + | 1.04748i | ||||
\(827\) | 18.2798i | 0.635650i | 0.948149 | + | 0.317825i | \(0.102952\pi\) | ||||
−0.948149 | + | 0.317825i | \(0.897048\pi\) | |||||||
\(828\) | −5.90226 | − | 7.56064i | −0.205118 | − | 0.262750i | ||||
\(829\) | − | 18.6361i | − | 0.647259i | −0.946184 | − | 0.323629i | \(-0.895097\pi\) | ||
0.946184 | − | 0.323629i | \(-0.104903\pi\) | |||||||
\(830\) | 4.81877 | − | 3.75392i | 0.167262 | − | 0.130301i | ||||
\(831\) | 14.7497 | + | 9.47905i | 0.511661 | + | 0.328825i | ||||
\(832\) | −16.1978 | − | 7.94239i | −0.561559 | − | 0.275353i | ||||
\(833\) | 23.3575 | − | 51.1459i | 0.809290 | − | 1.77210i | ||||
\(834\) | −12.1789 | + | 1.10667i | −0.421722 | + | 0.0383208i | ||||
\(835\) | −2.90631 | + | 9.89799i | −0.100577 | + | 0.342534i | ||||
\(836\) | −36.2674 | + | 18.2785i | −1.25434 | + | 0.632176i | ||||
\(837\) | 5.92995 | − | 2.70812i | 0.204969 | − | 0.0936062i | ||||
\(838\) | −11.6354 | + | 2.76634i | −0.401938 | + | 0.0955615i | ||||
\(839\) | 12.5944 | − | 14.5347i | 0.434808 | − | 0.501795i | −0.495483 | − | 0.868618i | \(-0.665009\pi\) |
0.930291 | + | 0.366823i | \(0.119554\pi\) | |||||||
\(840\) | 5.78628 | + | 6.86616i | 0.199646 | + | 0.236905i | ||||
\(841\) | 19.0292 | − | 5.58749i | 0.656181 | − | 0.192672i | ||||
\(842\) | −17.5361 | − | 44.3914i | −0.604335 | − | 1.52983i | ||||
\(843\) | 12.1863 | + | 18.9622i | 0.419718 | + | 0.653094i | ||||
\(844\) | −9.59255 | + | 23.3390i | −0.330189 | + | 0.803361i | ||||
\(845\) | −6.51577 | + | 0.936826i | −0.224149 | + | 0.0322278i | ||||
\(846\) | −8.36707 | − | 4.36216i | −0.287666 | − | 0.149974i | ||||
\(847\) | 0.269298 | − | 1.87301i | 0.00925320 | − | 0.0643574i | ||||
\(848\) | −27.3462 | + | 27.6473i | −0.939072 | + | 0.949411i | ||||
\(849\) | 0.629060 | + | 0.725973i | 0.0215893 | + | 0.0249153i | ||||
\(850\) | 2.36054 | − | 45.1964i | 0.0809659 | − | 1.55022i | ||||
\(851\) | −26.6839 | − | 20.7437i | −0.914711 | − | 0.711086i | ||||
\(852\) | −0.622562 | + | 5.94372i | −0.0213286 | + | 0.203629i | ||||
\(853\) | 2.88640 | − | 2.50108i | 0.0988283 | − | 0.0856352i | −0.604045 | − | 0.796950i | \(-0.706445\pi\) |
0.702874 | + | 0.711315i | \(0.251900\pi\) | |||||||
\(854\) | −16.8783 | − | 12.1359i | −0.577565 | − | 0.415283i | ||||
\(855\) | 0.708903 | − | 4.93053i | 0.0242440 | − | 0.168620i | ||||
\(856\) | 13.8871 | − | 20.9694i | 0.474651 | − | 0.716719i | ||||
\(857\) | −0.636559 | − | 4.42737i | −0.0217445 | − | 0.151236i | 0.976057 | − | 0.217517i | \(-0.0697957\pi\) |
−0.997801 | + | 0.0662809i | \(0.978887\pi\) | |||||||
\(858\) | −10.2018 | − | 3.58329i | −0.348283 | − | 0.122331i | ||||
\(859\) | 8.66434 | + | 13.4820i | 0.295623 | + | 0.459999i | 0.957014 | − | 0.290043i | \(-0.0936696\pi\) |
−0.661390 | + | 0.750042i | \(0.730033\pi\) | |||||||
\(860\) | −0.872275 | − | 2.59702i | −0.0297443 | − | 0.0885576i | ||||
\(861\) | −6.06876 | − | 20.6683i | −0.206823 | − | 0.704374i | ||||
\(862\) | −7.01534 | − | 6.75074i | −0.238943 | − | 0.229931i | ||||
\(863\) | −3.99224 | + | 4.60730i | −0.135898 | + | 0.156834i | −0.819619 | − | 0.572909i | \(-0.805815\pi\) |
0.683721 | + | 0.729743i | \(0.260360\pi\) | |||||||
\(864\) | −5.65513 | + | 0.139674i | −0.192391 | + | 0.00475181i | ||||
\(865\) | 1.11611 | + | 2.44394i | 0.0379489 | + | 0.0830965i | ||||
\(866\) | −5.03426 | − | 8.81258i | −0.171071 | − | 0.299464i | ||||
\(867\) | −10.7556 | + | 36.6301i | −0.365278 | + | 1.24402i | ||||
\(868\) | −1.91242 | − | 49.7298i | −0.0649119 | − | 1.68794i | ||||
\(869\) | 16.4213 | + | 7.49935i | 0.557054 | + | 0.254398i | ||||
\(870\) | −1.59248 | + | 8.06361i | −0.0539902 | + | 0.273382i | ||||
\(871\) | −1.68687 | − | 1.08409i | −0.0571575 | − | 0.0367329i | ||||
\(872\) | −25.9656 | − | 41.6510i | −0.879307 | − | 1.41048i | ||||
\(873\) | −17.2524 | −0.583905 | ||||||||
\(874\) | 34.1946 | + | 21.9264i | 1.15665 | + | 0.741673i | ||||
\(875\) | − | 29.5501i | − | 0.998977i | ||||||
\(876\) | −19.4701 | + | 13.5975i | −0.657833 | + | 0.459416i | ||||
\(877\) | −7.45059 | + | 11.5933i | −0.251588 | + | 0.391479i | −0.943959 | − | 0.330063i | \(-0.892930\pi\) |
0.692370 | + | 0.721542i | \(0.256566\pi\) | |||||||
\(878\) | −3.70963 | − | 0.732615i | −0.125194 | − | 0.0247246i | ||||
\(879\) | −2.70297 | + | 5.91868i | −0.0911690 | + | 0.199632i | ||||
\(880\) | −0.743073 | + | 11.2552i | −0.0250490 | + | 0.379412i | ||||
\(881\) | −33.4258 | − | 9.81471i | −1.12615 | − | 0.330666i | −0.334954 | − | 0.942235i | \(-0.608721\pi\) |
−0.791192 | + | 0.611568i | \(0.790539\pi\) | |||||||
\(882\) | 5.30992 | + | 9.29514i | 0.178794 | + | 0.312984i | ||||
\(883\) | −41.4593 | + | 18.9338i | −1.39522 | + | 0.637174i | −0.964201 | − | 0.265171i | \(-0.914571\pi\) |
−0.431014 | + | 0.902345i | \(0.641844\pi\) | |||||||
\(884\) | −6.03848 | − | 32.9525i | −0.203096 | − | 1.10831i | ||||
\(885\) | −4.44360 | − | 3.85040i | −0.149370 | − | 0.129430i | ||||
\(886\) | −20.3234 | + | 21.1200i | −0.682779 | + | 0.709541i | ||||
\(887\) | −35.3915 | + | 10.3919i | −1.18833 | + | 0.348926i | −0.815380 | − | 0.578926i | \(-0.803472\pi\) |
−0.372951 | + | 0.927851i | \(0.621654\pi\) | |||||||
\(888\) | −19.2011 | + | 5.35245i | −0.644348 | + | 0.179616i | ||||
\(889\) | 23.2221 | − | 14.9239i | 0.778843 | − | 0.500532i | ||||
\(890\) | 19.5352 | + | 6.86156i | 0.654820 | + | 0.230000i | ||||
\(891\) | −3.35603 | + | 0.482524i | −0.112431 | + | 0.0161652i | ||||
\(892\) | −1.39755 | + | 2.37020i | −0.0467933 | + | 0.0793601i | ||||
\(893\) | 39.5543 | + | 5.68705i | 1.32363 | + | 0.190310i | ||||
\(894\) | 4.41629 | − | 6.14207i | 0.147703 | − | 0.205421i | ||||
\(895\) | 3.90511 | + | 4.50673i | 0.130533 | + | 0.150643i | ||||
\(896\) | −15.4255 | + | 40.3355i | −0.515329 | + | 1.34751i | ||||
\(897\) | 2.10612 | + | 10.6077i | 0.0703214 | + | 0.354181i | ||||
\(898\) | −1.47483 | + | 28.2380i | −0.0492157 | + | 0.942313i | ||||
\(899\) | 34.4285 | − | 29.8324i | 1.14825 | − | 0.994968i | ||||
\(900\) | 6.72397 | + | 5.38823i | 0.224132 | + | 0.179608i | ||||
\(901\) | −71.4787 | − | 10.2771i | −2.38130 | − | 0.342379i | ||||
\(902\) | 12.5096 | − | 23.9946i | 0.416523 | − | 0.798934i | ||||
\(903\) | −0.894666 | − | 6.22254i | −0.0297726 | − | 0.207073i | ||||
\(904\) | −2.59252 | + | 5.47637i | −0.0862259 | + | 0.182141i | ||||
\(905\) | −14.8577 | + | 9.54849i | −0.493888 | + | 0.317403i | ||||
\(906\) | 2.61827 | + | 6.62797i | 0.0869863 | + | 0.220200i | ||||
\(907\) | 3.70455 | + | 12.6165i | 0.123008 | + | 0.418925i | 0.997854 | − | 0.0654745i | \(-0.0208561\pi\) |
−0.874847 | + | 0.484400i | \(0.839038\pi\) | |||||||
\(908\) | 6.42878 | + | 6.86720i | 0.213346 | + | 0.227896i | ||||
\(909\) | −11.8606 | − | 10.2773i | −0.393393 | − | 0.340877i | ||||
\(910\) | −2.34176 | − | 9.84960i | −0.0776286 | − | 0.326511i | ||||
\(911\) | 16.6699 | + | 36.5020i | 0.552299 | + | 1.20937i | 0.955700 | + | 0.294343i | \(0.0951009\pi\) |
−0.403400 | + | 0.915024i | \(0.632172\pi\) | |||||||
\(912\) | 22.4001 | − | 8.49480i | 0.741742 | − | 0.281291i | ||||
\(913\) | 16.8949 | + | 4.96078i | 0.559138 | + | 0.164178i | ||||
\(914\) | 37.7347 | − | 3.42885i | 1.24815 | − | 0.113416i | ||||
\(915\) | 2.91352 | + | 1.33056i | 0.0963180 | + | 0.0439870i | ||||
\(916\) | −16.4078 | − | 4.14003i | −0.542129 | − | 0.136790i | ||||
\(917\) | 35.6265 | − | 55.4359i | 1.17649 | − | 1.83065i | ||||
\(918\) | −6.45580 | − | 8.28708i | −0.213073 | − | 0.273514i | ||||
\(919\) | −57.3329 | −1.89124 | −0.945619 | − | 0.325276i | \(-0.894543\pi\) | ||||
−0.945619 | + | 0.325276i | \(0.894543\pi\) | |||||||
\(920\) | 10.0694 | − | 5.08775i | 0.331978 | − | 0.167738i | ||||
\(921\) | −28.5609 | −0.941113 | ||||||||
\(922\) | 21.0313 | + | 26.9971i | 0.692630 | + | 0.889103i | ||||
\(923\) | 3.64301 | − | 5.66863i | 0.119911 | − | 0.186585i | ||||
\(924\) | −6.33245 | + | 25.0968i | −0.208322 | + | 0.825624i | ||||
\(925\) | 27.6186 | + | 12.6130i | 0.908092 | + | 0.414712i | ||||
\(926\) | −15.8171 | + | 1.43726i | −0.519782 | + | 0.0472312i | ||||
\(927\) | −14.0205 | − | 4.11679i | −0.460494 | − | 0.135213i | ||||
\(928\) | −37.6425 | + | 12.0701i | −1.23567 | + | 0.396220i | ||||
\(929\) | 8.16755 | + | 17.8844i | 0.267969 | + | 0.586769i | 0.995004 | − | 0.0998301i | \(-0.0318299\pi\) |
−0.727036 | + | 0.686599i | \(0.759103\pi\) | |||||||
\(930\) | 1.77358 | + | 7.45981i | 0.0581581 | + | 0.244617i | ||||
\(931\) | −34.2621 | − | 29.6883i | −1.12289 | − | 0.972994i | ||||
\(932\) | −17.8757 | + | 16.7344i | −0.585537 | + | 0.548154i | ||||
\(933\) | 1.86423 | + | 6.34898i | 0.0610321 | + | 0.207856i | ||||
\(934\) | 9.96780 | + | 25.2328i | 0.326156 | + | 0.825642i | ||||
\(935\) | −17.6214 | + | 11.3246i | −0.576282 | + | 0.370354i | ||||
\(936\) | 5.76486 | + | 2.72909i | 0.188430 | + | 0.0892030i | ||||
\(937\) | −6.13515 | − | 42.6709i | −0.200427 | − | 1.39400i | −0.803021 | − | 0.595951i | \(-0.796775\pi\) |
0.602594 | − | 0.798048i | \(-0.294134\pi\) | |||||||
\(938\) | −2.21900 | + | 4.25627i | −0.0724530 | + | 0.138972i | ||||
\(939\) | −4.24684 | − | 0.610603i | −0.138590 | − | 0.0199263i | ||||
\(940\) | 6.94032 | − | 8.66083i | 0.226368 | − | 0.282485i | ||||
\(941\) | −12.0127 | + | 10.4091i | −0.391604 | + | 0.339327i | −0.828303 | − | 0.560281i | \(-0.810693\pi\) |
0.436698 | + | 0.899608i | \(0.356148\pi\) | |||||||
\(942\) | −0.623632 | + | 11.9404i | −0.0203190 | + | 0.389040i | ||||
\(943\) | −27.0265 | + | 1.43911i | −0.880104 | + | 0.0468639i | ||||
\(944\) | 5.85955 | − | 27.6643i | 0.190712 | − | 0.900395i | ||||
\(945\) | −2.07893 | − | 2.39921i | −0.0676275 | − | 0.0780463i | ||||
\(946\) | 4.61023 | − | 6.41180i | 0.149892 | − | 0.208465i | ||||
\(947\) | −41.2174 | − | 5.92616i | −1.33938 | − | 0.192574i | −0.564896 | − | 0.825162i | \(-0.691084\pi\) |
−0.774489 | + | 0.632588i | \(0.781993\pi\) | |||||||
\(948\) | −9.17300 | − | 5.40870i | −0.297925 | − | 0.175666i | ||||
\(949\) | 26.5039 | − | 3.81069i | 0.860353 | − | 0.123700i | ||||
\(950\) | −34.4290 | − | 12.0929i | −1.11703 | − | 0.392346i | ||||
\(951\) | 0.254487 | − | 0.163549i | 0.00825231 | − | 0.00530344i | ||||
\(952\) | −77.2493 | + | 21.5338i | −2.50366 | + | 0.697914i | ||||
\(953\) | 12.0623 | − | 3.54182i | 0.390738 | − | 0.114731i | −0.0804616 | − | 0.996758i | \(-0.525639\pi\) |
0.471199 | + | 0.882027i | \(0.343821\pi\) | |||||||
\(954\) | 9.53308 | − | 9.90674i | 0.308645 | − | 0.320743i | ||||
\(955\) | 11.5288 | + | 9.98977i | 0.373064 | + | 0.323262i | ||||
\(956\) | 1.40619 | − | 0.257681i | 0.0454793 | − | 0.00833399i | ||||
\(957\) | −21.5521 | + | 9.84251i | −0.696680 | + | 0.318163i | ||||
\(958\) | −1.83128 | − | 3.20569i | −0.0591659 | − | 0.103571i | ||||
\(959\) | −0.960415 | − | 0.282003i | −0.0310134 | − | 0.00910636i | ||||
\(960\) | 1.12756 | − | 6.55738i | 0.0363918 | − | 0.211639i | ||||
\(961\) | 4.77650 | − | 10.4591i | 0.154081 | − | 0.337389i | ||||
\(962\) | 22.0492 | + | 4.35449i | 0.710894 | + | 0.140394i | ||||
\(963\) | −4.80748 | + | 7.48058i | −0.154919 | + | 0.241058i | ||||
\(964\) | 16.9953 | + | 24.3354i | 0.547381 | + | 0.783790i | ||||
\(965\) | 13.2781i | 0.427438i | ||||||||
\(966\) | 24.8321 | − | 7.31879i | 0.798959 | − | 0.235478i | ||||
\(967\) | −8.05730 | −0.259105 | −0.129553 | − | 0.991573i | \(-0.541354\pi\) | ||||
−0.129553 | + | 0.991573i | \(0.541354\pi\) | |||||||
\(968\) | −1.18990 | + | 0.741797i | −0.0382449 | + | 0.0238423i | ||||
\(969\) | 37.4259 | + | 24.0522i | 1.20229 | + | 0.772667i | ||||
\(970\) | 3.93160 | − | 19.9078i | 0.126236 | − | 0.639202i | ||||
\(971\) | −6.33218 | − | 2.89181i | −0.203209 | − | 0.0928026i | 0.311211 | − | 0.950341i | \(-0.399265\pi\) |
−0.514420 | + | 0.857538i | \(0.671993\pi\) | |||||||
\(972\) | 1.99852 | − | 0.0768558i | 0.0641026 | − | 0.00246515i | ||||
\(973\) | 9.29906 | − | 31.6697i | 0.298114 | − | 1.01528i | ||||
\(974\) | 2.01611 | + | 3.52925i | 0.0646004 | + | 0.113085i | ||||
\(975\) | −4.03588 | − | 8.83735i | −0.129252 | − | 0.283022i | ||||
\(976\) | 1.18304 | + | 15.3589i | 0.0378683 | + | 0.491626i | ||||
\(977\) | 14.8737 | − | 17.1652i | 0.475853 | − | 0.549164i | −0.466177 | − | 0.884691i | \(-0.654369\pi\) |
0.942030 | + | 0.335528i | \(0.108915\pi\) | |||||||
\(978\) | −19.8564 | − | 19.1075i | −0.634937 | − | 0.610989i | ||||
\(979\) | 16.8152 | + | 57.2672i | 0.537415 | + | 1.83027i | ||||
\(980\) | −11.9359 | + | 4.00897i | −0.381278 | + | 0.128062i | ||||
\(981\) | 9.38175 | + | 14.5983i | 0.299536 | + | 0.466087i | ||||
\(982\) | −15.4980 | − | 5.44354i | −0.494561 | − | 0.173710i | ||||
\(983\) | −2.73122 | − | 18.9960i | −0.0871123 | − | 0.605880i | −0.985880 | − | 0.167454i | \(-0.946445\pi\) |
0.898768 | − | 0.438425i | \(-0.144464\pi\) | |||||||
\(984\) | −8.81340 | + | 13.3082i | −0.280961 | + | 0.424249i | ||||
\(985\) | 1.05987 | − | 7.37156i | 0.0337703 | − | 0.234877i | ||||
\(986\) | −59.6012 | − | 42.8547i | −1.89809 | − | 1.36477i | ||||
\(987\) | 19.2473 | − | 16.6778i | 0.612647 | − | 0.530861i | ||||
\(988\) | −26.8647 | − | 2.81389i | −0.854681 | − | 0.0895217i | ||||
\(989\) | −7.86695 | − | 0.706785i | −0.250154 | − | 0.0224744i | ||||
\(990\) | 0.208002 | − | 3.98254i | 0.00661075 | − | 0.126573i | ||||
\(991\) | 10.1777 | + | 11.7457i | 0.323306 | + | 0.373115i | 0.894015 | − | 0.448037i | \(-0.147877\pi\) |
−0.570709 | + | 0.821153i | \(0.693331\pi\) | |||||||
\(992\) | −27.2653 | + | 24.8303i | −0.865674 | + | 0.788363i | ||||
\(993\) | 3.90237 | − | 27.1416i | 0.123838 | − | 0.861311i | ||||
\(994\) | −14.3029 | − | 7.45681i | −0.453662 | − | 0.236516i | ||||
\(995\) | 3.04330 | − | 0.437561i | 0.0964792 | − | 0.0138716i | ||||
\(996\) | −9.60683 | − | 3.94850i | −0.304404 | − | 0.125113i | ||||
\(997\) | 21.6845 | + | 33.7418i | 0.686755 | + | 1.06861i | 0.993166 | + | 0.116713i | \(0.0372357\pi\) |
−0.306410 | + | 0.951900i | \(0.599128\pi\) | |||||||
\(998\) | 11.8466 | + | 29.9887i | 0.374996 | + | 0.949276i | ||||
\(999\) | 6.76198 | − | 1.98550i | 0.213940 | − | 0.0628183i |
(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 | 552.2.bb.a.13.11 | ✓ | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.13.37 | yes | 480 | |
23.16 | even | 11 | inner | 552.2.bb.a.85.37 | yes | 480 | |
184.85 | even | 22 | inner | 552.2.bb.a.85.11 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.11 | ✓ | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.13.37 | yes | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.85.11 | yes | 480 | 184.85 | even | 22 | inner | |
552.2.bb.a.85.37 | yes | 480 | 23.16 | even | 11 | inner |