Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [129,2,Mod(2,129)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(129, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("129.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 129 = 3 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 129.j (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.03007018607\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 65.10 | ||
Character | \(\chi\) | \(=\) | 129.65 |
Dual form | 129.2.j.a.2.10 |
$q$-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 \(\left(\mathbb{Z}/129\mathbb{Z}\right)^\times\).
\(n\) | \(44\) | \(46\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.44652 | + | 0.696607i | 1.02284 | + | 0.492576i | 0.868630 | − | 0.495462i | \(-0.165001\pi\) |
0.154214 | + | 0.988037i | \(0.450715\pi\) | |||||||
\(3\) | 0.786439 | + | 1.54322i | 0.454051 | + | 0.890976i | ||||
\(4\) | 0.360178 | + | 0.451649i | 0.180089 | + | 0.225824i | ||||
\(5\) | −0.245120 | − | 1.07394i | −0.109621 | − | 0.480281i | −0.999700 | − | 0.0244753i | \(-0.992208\pi\) |
0.890080 | − | 0.455805i | \(-0.150649\pi\) | |||||||
\(6\) | 0.0625841 | + | 2.78013i | 0.0255499 | + | 1.13498i | ||||
\(7\) | 0.328256i | 0.124069i | 0.998074 | + | 0.0620346i | \(0.0197589\pi\) | ||||
−0.998074 | + | 0.0620346i | \(0.980241\pi\) | |||||||
\(8\) | −0.508139 | − | 2.22630i | −0.179654 | − | 0.787117i | ||||
\(9\) | −1.76303 | + | 2.42729i | −0.587676 | + | 0.809096i | ||||
\(10\) | 0.393544 | − | 1.72423i | 0.124449 | − | 0.545249i | ||||
\(11\) | −2.24313 | − | 1.78884i | −0.676330 | − | 0.539355i | 0.223986 | − | 0.974592i | \(-0.428093\pi\) |
−0.900316 | + | 0.435237i | \(0.856664\pi\) | |||||||
\(12\) | −0.413733 | + | 0.911026i | −0.119435 | + | 0.262991i | ||||
\(13\) | 0.503434 | + | 2.20569i | 0.139628 | + | 0.611748i | 0.995516 | + | 0.0945885i | \(0.0301535\pi\) |
−0.855889 | + | 0.517160i | \(0.826989\pi\) | |||||||
\(14\) | −0.228666 | + | 0.474829i | −0.0611134 | + | 0.126903i | ||||
\(15\) | 1.46455 | − | 1.22286i | 0.378145 | − | 0.315741i | ||||
\(16\) | 1.07292 | − | 4.70076i | 0.268229 | − | 1.17519i | ||||
\(17\) | −2.54006 | − | 0.579753i | −0.616056 | − | 0.140611i | −0.0969054 | − | 0.995294i | \(-0.530894\pi\) |
−0.519150 | + | 0.854683i | \(0.673752\pi\) | |||||||
\(18\) | −4.24112 | + | 2.28298i | −0.999642 | + | 0.538104i | ||||
\(19\) | 0.684905 | − | 0.546193i | 0.157128 | − | 0.125305i | −0.541770 | − | 0.840527i | \(-0.682246\pi\) |
0.698898 | + | 0.715221i | \(0.253674\pi\) | |||||||
\(20\) | 0.396757 | − | 0.497517i | 0.0887175 | − | 0.111248i | ||||
\(21\) | −0.506570 | + | 0.258153i | −0.110543 | + | 0.0563337i | ||||
\(22\) | −1.99862 | − | 4.15017i | −0.426107 | − | 0.884820i | ||||
\(23\) | 0.977772 | + | 0.779747i | 0.203880 | + | 0.162589i | 0.720107 | − | 0.693863i | \(-0.244093\pi\) |
−0.516227 | + | 0.856452i | \(0.672664\pi\) | |||||||
\(24\) | 3.03604 | − | 2.53502i | 0.619730 | − | 0.517459i | ||||
\(25\) | 3.41158 | − | 1.64293i | 0.682316 | − | 0.328586i | ||||
\(26\) | −0.808272 | + | 3.54127i | −0.158515 | + | 0.694500i | ||||
\(27\) | −5.13234 | − | 0.811818i | −0.987720 | − | 0.156235i | ||||
\(28\) | −0.148256 | + | 0.118231i | −0.0280178 | + | 0.0223435i | ||||
\(29\) | 7.99114 | + | 3.84833i | 1.48392 | + | 0.714617i | 0.988100 | − | 0.153810i | \(-0.0491544\pi\) |
0.495817 | + | 0.868427i | \(0.334869\pi\) | |||||||
\(30\) | 2.97035 | − | 0.748677i | 0.542310 | − | 0.136689i | ||||
\(31\) | −3.81550 | − | 1.83745i | −0.685285 | − | 0.330016i | 0.0586400 | − | 0.998279i | \(-0.481324\pi\) |
−0.743925 | + | 0.668263i | \(0.767038\pi\) | |||||||
\(32\) | 1.97903 | − | 2.48162i | 0.349846 | − | 0.438693i | ||||
\(33\) | 0.996477 | − | 4.86845i | 0.173464 | − | 0.847488i | ||||
\(34\) | −3.27039 | − | 2.60805i | −0.560868 | − | 0.447277i | ||||
\(35\) | 0.352527 | − | 0.0804621i | 0.0595880 | − | 0.0136006i | ||||
\(36\) | −1.73129 | + | 0.0779862i | −0.288548 | + | 0.0129977i | ||||
\(37\) | 3.53596i | 0.581308i | 0.956828 | + | 0.290654i | \(0.0938729\pi\) | ||||
−0.956828 | + | 0.290654i | \(0.906127\pi\) | |||||||
\(38\) | 1.37121 | − | 0.312970i | 0.222440 | − | 0.0507704i | ||||
\(39\) | −3.00793 | + | 2.51155i | −0.481655 | + | 0.402169i | ||||
\(40\) | −2.26636 | + | 1.09142i | −0.358343 | + | 0.172569i | ||||
\(41\) | −4.20677 | + | 8.73545i | −0.656987 | + | 1.36425i | 0.260108 | + | 0.965580i | \(0.416242\pi\) |
−0.917095 | + | 0.398669i | \(0.869472\pi\) | |||||||
\(42\) | −0.912595 | + | 0.0205436i | −0.140816 | + | 0.00316995i | ||||
\(43\) | −4.76502 | − | 4.50495i | −0.726658 | − | 0.686999i | ||||
\(44\) | − | 1.65741i | − | 0.249864i | ||||||
\(45\) | 3.03892 | + | 1.29841i | 0.453015 | + | 0.193556i | ||||
\(46\) | 0.871189 | + | 1.80904i | 0.128450 | + | 0.266729i | ||||
\(47\) | −4.75344 | + | 3.79074i | −0.693360 | + | 0.552936i | −0.905522 | − | 0.424298i | \(-0.860521\pi\) |
0.212163 | + | 0.977234i | \(0.431949\pi\) | |||||||
\(48\) | 8.09807 | − | 2.04112i | 1.16886 | − | 0.294610i | ||||
\(49\) | 6.89225 | 0.984607 | ||||||||
\(50\) | 6.07940 | 0.859756 | ||||||||
\(51\) | −1.10292 | − | 4.37581i | −0.154440 | − | 0.612735i | ||||
\(52\) | −0.814871 | + | 1.02182i | −0.113002 | + | 0.141700i | ||||
\(53\) | −12.9585 | − | 2.95769i | −1.77998 | − | 0.406270i | −0.799153 | − | 0.601127i | \(-0.794718\pi\) |
−0.980832 | + | 0.194857i | \(0.937576\pi\) | |||||||
\(54\) | −6.85852 | − | 4.74954i | −0.933326 | − | 0.646330i | ||||
\(55\) | −1.37127 | + | 2.84747i | −0.184902 | + | 0.383953i | ||||
\(56\) | 0.730797 | − | 0.166800i | 0.0976569 | − | 0.0222896i | ||||
\(57\) | 1.38153 | + | 0.627408i | 0.182988 | + | 0.0831022i | ||||
\(58\) | 8.87857 | + | 11.1334i | 1.16581 | + | 1.46188i | ||||
\(59\) | 9.99522 | + | 2.28134i | 1.30127 | + | 0.297006i | 0.816351 | − | 0.577556i | \(-0.195993\pi\) |
0.484915 | + | 0.874561i | \(0.338851\pi\) | |||||||
\(60\) | 1.07980 | + | 0.221014i | 0.139402 | + | 0.0285328i | ||||
\(61\) | 0.838364 | + | 1.74088i | 0.107342 | + | 0.222897i | 0.947720 | − | 0.319103i | \(-0.103382\pi\) |
−0.840379 | + | 0.542000i | \(0.817667\pi\) | |||||||
\(62\) | −4.23922 | − | 5.31581i | −0.538382 | − | 0.675109i | ||||
\(63\) | −0.796772 | − | 0.578725i | −0.100384 | − | 0.0729125i | ||||
\(64\) | −4.09689 | + | 1.97296i | −0.512111 | + | 0.246620i | ||||
\(65\) | 2.24538 | − | 1.08132i | 0.278505 | − | 0.134121i | ||||
\(66\) | 4.83282 | − | 6.34815i | 0.594879 | − | 0.781404i | ||||
\(67\) | 3.55980 | + | 4.46385i | 0.434899 | + | 0.545346i | 0.950191 | − | 0.311669i | \(-0.100888\pi\) |
−0.515292 | + | 0.857015i | \(0.672316\pi\) | |||||||
\(68\) | −0.653030 | − | 1.35603i | −0.0791915 | − | 0.164443i | ||||
\(69\) | −0.434360 | + | 2.12214i | −0.0522908 | + | 0.255475i | ||||
\(70\) | 0.565988 | + | 0.129183i | 0.0676485 | + | 0.0154403i | ||||
\(71\) | −5.31698 | − | 6.66729i | −0.631010 | − | 0.791262i | 0.358837 | − | 0.933400i | \(-0.383173\pi\) |
−0.989847 | + | 0.142139i | \(0.954602\pi\) | |||||||
\(72\) | 6.29974 | + | 2.69163i | 0.742432 | + | 0.317212i | ||||
\(73\) | 11.6318 | − | 2.65489i | 1.36140 | − | 0.310731i | 0.521400 | − | 0.853312i | \(-0.325410\pi\) |
0.840003 | + | 0.542581i | \(0.182553\pi\) | |||||||
\(74\) | −2.46318 | + | 5.11484i | −0.286338 | + | 0.594588i | ||||
\(75\) | 5.21840 | + | 3.97274i | 0.602568 | + | 0.458733i | ||||
\(76\) | 0.493375 | + | 0.112610i | 0.0565940 | + | 0.0129172i | ||||
\(77\) | 0.587197 | − | 0.736322i | 0.0669173 | − | 0.0839117i | ||||
\(78\) | −6.10060 | + | 1.53765i | −0.690757 | + | 0.174105i | ||||
\(79\) | −5.13319 | −0.577528 | −0.288764 | − | 0.957400i | \(-0.593244\pi\) | ||||
−0.288764 | + | 0.957400i | \(0.593244\pi\) | |||||||
\(80\) | −5.31132 | −0.593824 | ||||||||
\(81\) | −2.78346 | − | 8.55876i | −0.309274 | − | 0.950973i | ||||
\(82\) | −12.1704 | + | 9.70553i | −1.34399 | + | 1.07180i | ||||
\(83\) | 4.69749 | + | 9.75445i | 0.515617 | + | 1.07069i | 0.982481 | + | 0.186361i | \(0.0596693\pi\) |
−0.466864 | + | 0.884329i | \(0.654616\pi\) | |||||||
\(84\) | −0.299050 | − | 0.135811i | −0.0326290 | − | 0.0148181i | ||||
\(85\) | 2.86998i | 0.311294i | ||||||||
\(86\) | −3.75451 | − | 9.83585i | −0.404859 | − | 1.06063i | ||||
\(87\) | 0.345739 | + | 15.3585i | 0.0370671 | + | 1.64661i | ||||
\(88\) | −2.84267 | + | 5.90287i | −0.303030 | + | 0.629248i | ||||
\(89\) | 7.77978 | − | 3.74655i | 0.824655 | − | 0.397133i | 0.0265474 | − | 0.999648i | \(-0.491549\pi\) |
0.798108 | + | 0.602514i | \(0.205834\pi\) | |||||||
\(90\) | 3.49137 | + | 3.99511i | 0.368023 | + | 0.421121i | ||||
\(91\) | −0.724031 | + | 0.165255i | −0.0758991 | + | 0.0173235i | ||||
\(92\) | 0.722457i | 0.0753214i | ||||||||
\(93\) | −0.165079 | − | 7.33319i | −0.0171179 | − | 0.760416i | ||||
\(94\) | −9.51659 | + | 2.17210i | −0.981562 | + | 0.224035i | ||||
\(95\) | −0.754463 | − | 0.601664i | −0.0774062 | − | 0.0617294i | ||||
\(96\) | 5.38606 | + | 1.10242i | 0.549713 | + | 0.112516i | ||||
\(97\) | 2.54571 | − | 3.19222i | 0.258478 | − | 0.324121i | −0.635612 | − | 0.772009i | \(-0.719252\pi\) |
0.894090 | + | 0.447888i | \(0.147824\pi\) | |||||||
\(98\) | 9.96977 | + | 4.80119i | 1.00710 | + | 0.484993i | ||||
\(99\) | 8.29673 | − | 2.29096i | 0.833853 | − | 0.230250i | ||||
\(100\) | 1.97080 | + | 0.949089i | 0.197080 | + | 0.0949089i | ||||
\(101\) | 11.6398 | − | 9.28242i | 1.15820 | − | 0.923636i | 0.160217 | − | 0.987082i | \(-0.448781\pi\) |
0.997985 | + | 0.0634462i | \(0.0202091\pi\) | |||||||
\(102\) | 1.45282 | − | 7.09799i | 0.143851 | − | 0.702806i | ||||
\(103\) | −1.16890 | + | 5.12127i | −0.115175 | + | 0.504614i | 0.884127 | + | 0.467247i | \(0.154754\pi\) |
−0.999302 | + | 0.0373666i | \(0.988103\pi\) | |||||||
\(104\) | 4.65472 | − | 2.24159i | 0.456433 | − | 0.219806i | ||||
\(105\) | 0.401411 | + | 0.480747i | 0.0391737 | + | 0.0469161i | ||||
\(106\) | −16.6844 | − | 13.3053i | −1.62053 | − | 1.29233i | ||||
\(107\) | −5.20228 | − | 10.8026i | −0.502923 | − | 1.04433i | −0.985688 | − | 0.168581i | \(-0.946082\pi\) |
0.482765 | − | 0.875750i | \(-0.339633\pi\) | |||||||
\(108\) | −1.48190 | − | 2.61042i | −0.142596 | − | 0.251187i | ||||
\(109\) | 8.31369 | − | 10.4250i | 0.796307 | − | 0.998538i | −0.203503 | − | 0.979074i | \(-0.565233\pi\) |
0.999811 | − | 0.0194635i | \(-0.00619580\pi\) | |||||||
\(110\) | −3.96714 | + | 3.16368i | −0.378252 | + | 0.301646i | ||||
\(111\) | −5.45675 | + | 2.78082i | −0.517932 | + | 0.263943i | ||||
\(112\) | 1.54305 | + | 0.352192i | 0.145805 | + | 0.0332790i | ||||
\(113\) | −2.15741 | + | 9.45224i | −0.202952 | + | 0.889192i | 0.766175 | + | 0.642632i | \(0.222158\pi\) |
−0.969127 | + | 0.246560i | \(0.920700\pi\) | |||||||
\(114\) | 1.56135 | + | 1.86994i | 0.146234 | + | 0.175136i | ||||
\(115\) | 0.597731 | − | 1.24120i | 0.0557387 | − | 0.115743i | ||||
\(116\) | 1.14014 | + | 4.99527i | 0.105859 | + | 0.463799i | ||||
\(117\) | −6.24141 | − | 2.66671i | −0.577019 | − | 0.246538i | ||||
\(118\) | 12.8691 | + | 10.2627i | 1.18469 | + | 0.944762i | ||||
\(119\) | 0.190307 | − | 0.833791i | 0.0174455 | − | 0.0764335i | ||||
\(120\) | −3.46665 | − | 2.63915i | −0.316461 | − | 0.240920i | ||||
\(121\) | −0.616029 | − | 2.69900i | −0.0560027 | − | 0.245364i | ||||
\(122\) | 3.10223i | 0.280863i | ||||||||
\(123\) | −16.7891 | + | 0.377942i | −1.51382 | + | 0.0340779i | ||||
\(124\) | −0.544378 | − | 2.38508i | −0.0488866 | − | 0.214186i | ||||
\(125\) | −6.03471 | − | 7.56728i | −0.539761 | − | 0.676838i | ||||
\(126\) | −0.749403 | − | 1.39217i | −0.0667621 | − | 0.124025i | ||||
\(127\) | −12.0043 | − | 5.78097i | −1.06521 | − | 0.512978i | −0.182650 | − | 0.983178i | \(-0.558467\pi\) |
−0.882560 | + | 0.470200i | \(0.844182\pi\) | |||||||
\(128\) | −13.6488 | −1.20640 | ||||||||
\(129\) | 3.20472 | − | 10.8963i | 0.282160 | − | 0.959367i | ||||
\(130\) | 4.00123 | 0.350931 | ||||||||
\(131\) | −5.09958 | − | 2.45583i | −0.445552 | − | 0.214567i | 0.197635 | − | 0.980276i | \(-0.436674\pi\) |
−0.643187 | + | 0.765709i | \(0.722388\pi\) | |||||||
\(132\) | 2.55774 | − | 1.30345i | 0.222622 | − | 0.113451i | ||||
\(133\) | 0.179291 | + | 0.224824i | 0.0155465 | + | 0.0194947i | ||||
\(134\) | 2.03977 | + | 8.93683i | 0.176210 | + | 0.772025i | ||||
\(135\) | 0.386195 | + | 5.71082i | 0.0332383 | + | 0.491509i | ||||
\(136\) | 5.94955i | 0.510169i | ||||||||
\(137\) | −3.74212 | − | 16.3953i | −0.319711 | − | 1.40074i | −0.838061 | − | 0.545576i | \(-0.816311\pi\) |
0.518351 | − | 0.855168i | \(-0.326546\pi\) | |||||||
\(138\) | −2.10661 | + | 2.76713i | −0.179326 | + | 0.235554i | ||||
\(139\) | −0.177368 | + | 0.777098i | −0.0150441 | + | 0.0659126i | −0.981893 | − | 0.189437i | \(-0.939334\pi\) |
0.966849 | + | 0.255350i | \(0.0821907\pi\) | |||||||
\(140\) | 0.163313 | + | 0.130238i | 0.0138025 | + | 0.0110071i | ||||
\(141\) | −9.58821 | − | 4.35439i | −0.807473 | − | 0.366706i | ||||
\(142\) | −3.04664 | − | 13.3482i | −0.255669 | − | 1.12016i | ||||
\(143\) | 2.81635 | − | 5.84822i | 0.235515 | − | 0.489053i | ||||
\(144\) | 9.51851 | + | 10.8918i | 0.793209 | + | 0.907654i | ||||
\(145\) | 2.17409 | − | 9.52531i | 0.180548 | − | 0.791034i | ||||
\(146\) | 18.6751 | + | 4.26247i | 1.54556 | + | 0.352764i | ||||
\(147\) | 5.42033 | + | 10.6362i | 0.447061 | + | 0.877261i | ||||
\(148\) | −1.59701 | + | 1.27357i | −0.131274 | + | 0.104687i | ||||
\(149\) | −7.37902 | + | 9.25300i | −0.604513 | + | 0.758036i | −0.986074 | − | 0.166308i | \(-0.946815\pi\) |
0.381561 | + | 0.924344i | \(0.375387\pi\) | |||||||
\(150\) | 4.78107 | + | 9.38182i | 0.390373 | + | 0.766022i | ||||
\(151\) | −8.20090 | − | 17.0293i | −0.667380 | − | 1.38583i | −0.909550 | − | 0.415594i | \(-0.863574\pi\) |
0.242170 | − | 0.970234i | \(-0.422141\pi\) | |||||||
\(152\) | −1.56402 | − | 1.24726i | −0.126859 | − | 0.101166i | ||||
\(153\) | 5.88543 | − | 5.14335i | 0.475809 | − | 0.415815i | ||||
\(154\) | 1.36232 | − | 0.656058i | 0.109779 | − | 0.0528667i | ||||
\(155\) | −1.03806 | + | 4.54802i | −0.0833786 | + | 0.365306i | ||||
\(156\) | −2.21773 | − | 0.453926i | −0.177560 | − | 0.0363432i | ||||
\(157\) | −5.27753 | + | 4.20869i | −0.421193 | + | 0.335890i | −0.811041 | − | 0.584989i | \(-0.801099\pi\) |
0.389848 | + | 0.920879i | \(0.372527\pi\) | |||||||
\(158\) | −7.42525 | − | 3.57581i | −0.590721 | − | 0.284476i | ||||
\(159\) | −5.62670 | − | 22.3238i | −0.446226 | − | 1.77039i | ||||
\(160\) | −3.15021 | − | 1.51706i | −0.249046 | − | 0.119934i | ||||
\(161\) | −0.255957 | + | 0.320960i | −0.0201722 | + | 0.0252952i | ||||
\(162\) | 1.93576 | − | 14.3194i | 0.152087 | − | 1.12504i | ||||
\(163\) | 10.7924 | + | 8.60664i | 0.845324 | + | 0.674124i | 0.947189 | − | 0.320674i | \(-0.103910\pi\) |
−0.101865 | + | 0.994798i | \(0.532481\pi\) | |||||||
\(164\) | −5.46054 | + | 1.24633i | −0.426397 | + | 0.0973222i | ||||
\(165\) | −5.47268 | + | 0.123197i | −0.426047 | + | 0.00959085i | ||||
\(166\) | 17.3823i | 1.34913i | ||||||||
\(167\) | 16.3970 | − | 3.74250i | 1.26884 | − | 0.289604i | 0.465457 | − | 0.885071i | \(-0.345890\pi\) |
0.803380 | + | 0.595467i | \(0.203033\pi\) | |||||||
\(168\) | 0.832135 | + | 0.996600i | 0.0642006 | + | 0.0768894i | ||||
\(169\) | 7.10097 | − | 3.41965i | 0.546229 | − | 0.263050i | ||||
\(170\) | −1.99925 | + | 4.15149i | −0.153336 | + | 0.318405i | ||||
\(171\) | 0.118263 | + | 2.62542i | 0.00904377 | + | 0.200771i | ||||
\(172\) | 0.318403 | − | 3.77470i | 0.0242780 | − | 0.287818i | ||||
\(173\) | 15.2092i | 1.15633i | 0.815919 | + | 0.578167i | \(0.196232\pi\) | ||||
−0.815919 | + | 0.578167i | \(0.803768\pi\) | |||||||
\(174\) | −10.1987 | + | 22.4573i | −0.773164 | + | 1.70248i | ||||
\(175\) | 0.539302 | + | 1.11987i | 0.0407674 | + | 0.0846544i | ||||
\(176\) | −10.8156 | + | 8.62515i | −0.815256 | + | 0.650145i | ||||
\(177\) | 4.34002 | + | 17.2189i | 0.326216 | + | 1.29425i | ||||
\(178\) | 13.8635 | 1.03911 | ||||||||
\(179\) | 9.86589 | 0.737411 | 0.368705 | − | 0.929546i | \(-0.379801\pi\) | ||||
0.368705 | + | 0.929546i | \(0.379801\pi\) | |||||||
\(180\) | 0.508125 | + | 1.84018i | 0.0378734 | + | 0.137159i | ||||
\(181\) | −8.19569 | + | 10.2771i | −0.609181 | + | 0.763889i | −0.986777 | − | 0.162082i | \(-0.948179\pi\) |
0.377596 | + | 0.925970i | \(0.376751\pi\) | |||||||
\(182\) | −1.16244 | − | 0.265320i | −0.0861660 | − | 0.0196668i | ||||
\(183\) | −2.02723 | + | 2.66287i | −0.149857 | + | 0.196845i | ||||
\(184\) | 1.23911 | − | 2.57304i | 0.0913484 | − | 0.189687i | ||||
\(185\) | 3.79741 | − | 0.866734i | 0.279191 | − | 0.0637236i | ||||
\(186\) | 4.86956 | − | 10.7226i | 0.357053 | − | 0.786219i | ||||
\(187\) | 4.66062 | + | 5.84423i | 0.340818 | + | 0.427372i | ||||
\(188\) | −3.42416 | − | 0.781543i | −0.249733 | − | 0.0569999i | ||||
\(189\) | 0.266484 | − | 1.68472i | 0.0193839 | − | 0.122546i | ||||
\(190\) | −0.672222 | − | 1.39588i | −0.0487681 | − | 0.101268i | ||||
\(191\) | 4.94374 | + | 6.19925i | 0.357716 | + | 0.448562i | 0.927830 | − | 0.373004i | \(-0.121672\pi\) |
−0.570114 | + | 0.821566i | \(0.693101\pi\) | |||||||
\(192\) | −6.26665 | − | 4.77077i | −0.452256 | − | 0.344301i | ||||
\(193\) | 14.8866 | − | 7.16902i | 1.07156 | − | 0.516037i | 0.186953 | − | 0.982369i | \(-0.440139\pi\) |
0.884610 | + | 0.466332i | \(0.154425\pi\) | |||||||
\(194\) | 5.90615 | − | 2.84425i | 0.424037 | − | 0.204205i | ||||
\(195\) | 3.43456 | + | 2.61471i | 0.245954 | + | 0.187243i | ||||
\(196\) | 2.48243 | + | 3.11287i | 0.177317 | + | 0.222348i | ||||
\(197\) | 7.02961 | + | 14.5971i | 0.500839 | + | 1.04000i | 0.986180 | + | 0.165678i | \(0.0529812\pi\) |
−0.485341 | + | 0.874325i | \(0.661305\pi\) | |||||||
\(198\) | 13.5973 | + | 2.46565i | 0.966317 | + | 0.175226i | ||||
\(199\) | −14.2065 | − | 3.24253i | −1.00707 | − | 0.229857i | −0.312991 | − | 0.949756i | \(-0.601331\pi\) |
−0.694079 | + | 0.719899i | \(0.744188\pi\) | |||||||
\(200\) | −5.39122 | − | 6.76038i | −0.381217 | − | 0.478031i | ||||
\(201\) | −4.08912 | + | 9.00409i | −0.288424 | + | 0.635099i | ||||
\(202\) | 23.3034 | − | 5.31885i | 1.63962 | − | 0.374233i | ||||
\(203\) | −1.26324 | + | 2.62314i | −0.0886619 | + | 0.184108i | ||||
\(204\) | 1.57908 | − | 2.07420i | 0.110558 | − | 0.145223i | ||||
\(205\) | 10.4125 | + | 2.37659i | 0.727241 | + | 0.165988i | ||||
\(206\) | −5.25834 | + | 6.59375i | −0.366366 | + | 0.459409i | ||||
\(207\) | −3.61651 | + | 0.998619i | −0.251365 | + | 0.0694088i | ||||
\(208\) | 10.9086 | 0.756372 | ||||||||
\(209\) | −2.51338 | −0.173854 | ||||||||
\(210\) | 0.245758 | + | 0.975036i | 0.0169589 | + | 0.0672839i | ||||
\(211\) | −5.23343 | + | 4.17352i | −0.360284 | + | 0.287317i | −0.786856 | − | 0.617137i | \(-0.788293\pi\) |
0.426572 | + | 0.904454i | \(0.359721\pi\) | |||||||
\(212\) | −3.33152 | − | 6.91798i | −0.228810 | − | 0.475129i | ||||
\(213\) | 6.10758 | − | 13.4487i | 0.418484 | − | 0.921487i | ||||
\(214\) | − | 19.2502i | − | 1.31591i | ||||||
\(215\) | −3.67005 | + | 6.22160i | −0.250295 | + | 0.424309i | ||||
\(216\) | 0.800591 | + | 11.8387i | 0.0544733 | + | 0.805519i | ||||
\(217\) | 0.603154 | − | 1.25246i | 0.0409448 | − | 0.0850227i | ||||
\(218\) | 19.2881 | − | 9.28865i | 1.30635 | − | 0.629107i | ||||
\(219\) | 13.2448 | + | 15.8625i | 0.895000 | + | 1.07189i | ||||
\(220\) | −1.77996 | + | 0.406263i | −0.120005 | + | 0.0273903i | ||||
\(221\) | − | 5.89446i | − | 0.396504i | ||||||
\(222\) | −9.83043 | + | 0.221295i | −0.659775 | + | 0.0148524i | ||||
\(223\) | −18.1163 | + | 4.13493i | −1.21316 | + | 0.276895i | −0.780785 | − | 0.624799i | \(-0.785181\pi\) |
−0.432373 | + | 0.901695i | \(0.642324\pi\) | |||||||
\(224\) | 0.814608 | + | 0.649628i | 0.0544283 | + | 0.0434051i | ||||
\(225\) | −2.02685 | + | 11.1774i | −0.135123 | + | 0.745162i | ||||
\(226\) | −9.70524 | + | 12.1700i | −0.645583 | + | 0.809535i | ||||
\(227\) | −3.92428 | − | 1.88983i | −0.260464 | − | 0.125433i | 0.299095 | − | 0.954223i | \(-0.403315\pi\) |
−0.559559 | + | 0.828791i | \(0.689029\pi\) | |||||||
\(228\) | 0.214228 | + | 0.849945i | 0.0141876 | + | 0.0562890i | ||||
\(229\) | 17.2039 | + | 8.28494i | 1.13686 | + | 0.547484i | 0.905062 | − | 0.425279i | \(-0.139824\pi\) |
0.231801 | + | 0.972763i | \(0.425538\pi\) | |||||||
\(230\) | 1.72926 | − | 1.37904i | 0.114024 | − | 0.0909310i | ||||
\(231\) | 1.59810 | + | 0.327100i | 0.105147 | + | 0.0215216i | ||||
\(232\) | 4.50694 | − | 19.7462i | 0.295895 | − | 1.29640i | ||||
\(233\) | 13.4941 | − | 6.49839i | 0.884025 | − | 0.425724i | 0.0639320 | − | 0.997954i | \(-0.479636\pi\) |
0.820093 | + | 0.572230i | \(0.193922\pi\) | |||||||
\(234\) | −7.17068 | − | 8.20527i | −0.468762 | − | 0.536395i | ||||
\(235\) | 5.23619 | + | 4.17572i | 0.341571 | + | 0.272394i | ||||
\(236\) | 2.56969 | + | 5.33602i | 0.167273 | + | 0.347345i | ||||
\(237\) | −4.03694 | − | 7.92161i | −0.262227 | − | 0.514564i | ||||
\(238\) | 0.856108 | − | 1.07353i | 0.0554933 | − | 0.0695864i | ||||
\(239\) | −14.3934 | + | 11.4784i | −0.931033 | + | 0.742474i | −0.966438 | − | 0.256899i | \(-0.917299\pi\) |
0.0354055 | + | 0.999373i | \(0.488728\pi\) | |||||||
\(240\) | −4.17703 | − | 8.19652i | −0.269626 | − | 0.529083i | ||||
\(241\) | −8.57953 | − | 1.95822i | −0.552656 | − | 0.126140i | −0.0629324 | − | 0.998018i | \(-0.520045\pi\) |
−0.489724 | + | 0.871878i | \(0.662902\pi\) | |||||||
\(242\) | 0.989045 | − | 4.33329i | 0.0635782 | − | 0.278554i | ||||
\(243\) | 11.0190 | − | 11.0264i | 0.706868 | − | 0.707345i | ||||
\(244\) | −0.484306 | + | 1.00567i | −0.0310045 | + | 0.0643816i | ||||
\(245\) | −1.68943 | − | 7.40186i | −0.107933 | − | 0.472888i | ||||
\(246\) | −24.5490 | − | 11.1487i | −1.56519 | − | 0.710813i | ||||
\(247\) | 1.54954 | + | 1.23572i | 0.0985947 | + | 0.0786267i | ||||
\(248\) | −2.15191 | + | 9.42815i | −0.136647 | + | 0.598688i | ||||
\(249\) | −11.3589 | + | 14.9205i | −0.719842 | + | 0.945550i | ||||
\(250\) | −3.45790 | − | 15.1500i | −0.218697 | − | 0.958173i | ||||
\(251\) | − | 4.10184i | − | 0.258906i | −0.991586 | − | 0.129453i | \(-0.958678\pi\) | ||
0.991586 | − | 0.129453i | \(-0.0413221\pi\) | |||||||
\(252\) | −0.0255994 | − | 0.568305i | −0.00161261 | − | 0.0357998i | ||||
\(253\) | −0.798431 | − | 3.49815i | −0.0501969 | − | 0.219927i | ||||
\(254\) | −13.3374 | − | 16.7246i | −0.836863 | − | 1.04939i | ||||
\(255\) | −4.42901 | + | 2.25707i | −0.277355 | + | 0.141343i | ||||
\(256\) | −11.5495 | − | 5.56196i | −0.721846 | − | 0.347623i | ||||
\(257\) | −11.4753 | −0.715809 | −0.357905 | − | 0.933758i | \(-0.616509\pi\) | ||||
−0.357905 | + | 0.933758i | \(0.616509\pi\) | |||||||
\(258\) | 12.2261 | − | 13.5293i | 0.761166 | − | 0.842298i | ||||
\(259\) | −1.16070 | −0.0721224 | ||||||||
\(260\) | 1.29711 | + | 0.624655i | 0.0804433 | + | 0.0387395i | ||||
\(261\) | −23.4296 | + | 12.6121i | −1.45026 | + | 0.780669i | ||||
\(262\) | −5.66589 | − | 7.10480i | −0.350040 | − | 0.438936i | ||||
\(263\) | −1.95778 | − | 8.57761i | −0.120722 | − | 0.528918i | −0.998735 | − | 0.0502814i | \(-0.983988\pi\) |
0.878013 | − | 0.478637i | \(-0.158869\pi\) | |||||||
\(264\) | −11.3450 | + | 0.255390i | −0.698236 | + | 0.0157181i | ||||
\(265\) | 14.6416i | 0.899428i | ||||||||
\(266\) | 0.102734 | + | 0.450108i | 0.00629904 | + | 0.0275979i | ||||
\(267\) | 11.9001 | + | 9.05945i | 0.728271 | + | 0.554430i | ||||
\(268\) | −0.733931 | + | 3.21556i | −0.0448319 | + | 0.196422i | ||||
\(269\) | 3.60265 | + | 2.87302i | 0.219657 | + | 0.175171i | 0.727136 | − | 0.686493i | \(-0.240851\pi\) |
−0.507479 | + | 0.861664i | \(0.669422\pi\) | |||||||
\(270\) | −3.41956 | + | 8.52984i | −0.208108 | + | 0.519110i | ||||
\(271\) | −2.89187 | − | 12.6701i | −0.175669 | − | 0.769655i | −0.983598 | − | 0.180375i | \(-0.942269\pi\) |
0.807929 | − | 0.589280i | \(-0.200588\pi\) | |||||||
\(272\) | −5.45056 | + | 11.3182i | −0.330489 | + | 0.686266i | ||||
\(273\) | −0.824431 | − | 0.987373i | −0.0498968 | − | 0.0597585i | ||||
\(274\) | 6.00803 | − | 26.3229i | 0.362958 | − | 1.59022i | ||||
\(275\) | −10.5916 | − | 2.41746i | −0.638696 | − | 0.145778i | ||||
\(276\) | −1.11491 | + | 0.568168i | −0.0671095 | + | 0.0341997i | ||||
\(277\) | −23.3420 | + | 18.6146i | −1.40248 | + | 1.11844i | −0.425542 | + | 0.904939i | \(0.639917\pi\) |
−0.976942 | + | 0.213505i | \(0.931512\pi\) | |||||||
\(278\) | −0.797898 | + | 1.00053i | −0.0478547 | + | 0.0600079i | ||||
\(279\) | 11.1869 | − | 6.02185i | 0.669740 | − | 0.360519i | ||||
\(280\) | −0.358266 | − | 0.743947i | −0.0214105 | − | 0.0444593i | ||||
\(281\) | −7.71004 | − | 6.14855i | −0.459942 | − | 0.366792i | 0.365936 | − | 0.930640i | \(-0.380749\pi\) |
−0.825878 | + | 0.563848i | \(0.809320\pi\) | |||||||
\(282\) | −10.8362 | − | 12.9779i | −0.645289 | − | 0.772825i | ||||
\(283\) | −17.2962 | + | 8.32942i | −1.02815 | + | 0.495133i | −0.870400 | − | 0.492346i | \(-0.836140\pi\) |
−0.157754 | + | 0.987478i | \(0.550425\pi\) | |||||||
\(284\) | 1.09621 | − | 4.80282i | 0.0650482 | − | 0.284995i | ||||
\(285\) | 0.335158 | − | 1.63747i | 0.0198531 | − | 0.0969954i | ||||
\(286\) | 8.14782 | − | 6.49767i | 0.481791 | − | 0.384215i | ||||
\(287\) | −2.86746 | − | 1.38090i | −0.169261 | − | 0.0815118i | ||||
\(288\) | 2.53453 | + | 9.17885i | 0.149349 | + | 0.540869i | ||||
\(289\) | −9.20066 | − | 4.43080i | −0.541215 | − | 0.260636i | ||||
\(290\) | 9.78026 | − | 12.2641i | 0.574317 | − | 0.720170i | ||||
\(291\) | 6.92833 | + | 1.41810i | 0.406146 | + | 0.0831302i | ||||
\(292\) | 5.38861 | + | 4.29727i | 0.315344 | + | 0.251479i | ||||
\(293\) | 26.3258 | − | 6.00868i | 1.53797 | − | 0.351031i | 0.632200 | − | 0.774806i | \(-0.282152\pi\) |
0.905768 | + | 0.423774i | \(0.139295\pi\) | |||||||
\(294\) | 0.431345 | + | 19.1613i | 0.0251566 | + | 1.11751i | ||||
\(295\) | − | 11.2935i | − | 0.657531i | ||||||
\(296\) | 7.87212 | − | 1.79676i | 0.457558 | − | 0.104435i | ||||
\(297\) | 10.0603 | + | 11.0020i | 0.583759 | + | 0.638398i | ||||
\(298\) | −17.1196 | + | 8.24437i | −0.991713 | + | 0.477584i | ||||
\(299\) | −1.22764 | + | 2.54921i | −0.0709961 | + | 0.147425i | ||||
\(300\) | 0.0852674 | + | 3.78777i | 0.00492292 | + | 0.218687i | ||||
\(301\) | 1.47878 | − | 1.56415i | 0.0852354 | − | 0.0901559i | ||||
\(302\) | − | 30.3461i | − | 1.74622i | ||||||
\(303\) | 23.4788 | + | 10.6626i | 1.34882 | + | 0.612553i | ||||
\(304\) | −1.83268 | − | 3.80559i | −0.105111 | − | 0.218266i | ||||
\(305\) | 1.66410 | − | 1.32708i | 0.0952862 | − | 0.0759882i | ||||
\(306\) | 12.0963 | − | 3.34012i | 0.691499 | − | 0.190942i | ||||
\(307\) | 33.0420 | 1.88581 | 0.942904 | − | 0.333066i | \(-0.108083\pi\) | ||||
0.942904 | + | 0.333066i | \(0.108083\pi\) | |||||||
\(308\) | 0.544054 | 0.0310004 | ||||||||
\(309\) | −8.82249 | + | 2.22371i | −0.501894 | + | 0.126502i | ||||
\(310\) | −4.66975 | + | 5.85568i | −0.265224 | + | 0.332580i | ||||
\(311\) | −5.45602 | − | 1.24530i | −0.309383 | − | 0.0706146i | 0.0650107 | − | 0.997885i | \(-0.479292\pi\) |
−0.374393 | + | 0.927270i | \(0.622149\pi\) | |||||||
\(312\) | 7.11991 | + | 5.42036i | 0.403086 | + | 0.306867i | ||||
\(313\) | −9.81553 | + | 20.3822i | −0.554807 | + | 1.15207i | 0.415366 | + | 0.909654i | \(0.363653\pi\) |
−0.970173 | + | 0.242413i | \(0.922061\pi\) | |||||||
\(314\) | −10.5659 | + | 2.41159i | −0.596266 | + | 0.136094i | ||||
\(315\) | −0.426211 | + | 0.997542i | −0.0240143 | + | 0.0562052i | ||||
\(316\) | −1.84886 | − | 2.31840i | −0.104006 | − | 0.130420i | ||||
\(317\) | 12.0046 | + | 2.73997i | 0.674245 | + | 0.153892i | 0.545916 | − | 0.837840i | \(-0.316182\pi\) |
0.128329 | + | 0.991732i | \(0.459039\pi\) | |||||||
\(318\) | 7.41177 | − | 36.2114i | 0.415631 | − | 2.03063i | ||||
\(319\) | −11.0411 | − | 22.9272i | −0.618185 | − | 1.28368i | ||||
\(320\) | 3.12306 | + | 3.91620i | 0.174585 | + | 0.218922i | ||||
\(321\) | 12.5795 | − | 16.5239i | 0.702121 | − | 0.922271i | ||||
\(322\) | −0.593829 | + | 0.285973i | −0.0330928 | + | 0.0159367i | ||||
\(323\) | −2.05636 | + | 0.990290i | −0.114419 | + | 0.0551012i | ||||
\(324\) | 2.86301 | − | 4.33982i | 0.159056 | − | 0.241101i | ||||
\(325\) | 5.34130 | + | 6.69778i | 0.296282 | + | 0.371526i | ||||
\(326\) | 9.61594 | + | 19.9677i | 0.532578 | + | 1.10591i | ||||
\(327\) | 22.6263 | + | 4.63116i | 1.25124 | + | 0.256104i | ||||
\(328\) | 21.5854 | + | 4.92672i | 1.19185 | + | 0.272033i | ||||
\(329\) | −1.24433 | − | 1.56034i | −0.0686023 | − | 0.0860246i | ||||
\(330\) | −8.00216 | − | 3.63410i | −0.440504 | − | 0.200051i | ||||
\(331\) | 7.57337 | − | 1.72857i | 0.416270 | − | 0.0950109i | −0.00925596 | − | 0.999957i | \(-0.502946\pi\) |
0.425526 | + | 0.904946i | \(0.360089\pi\) | |||||||
\(332\) | −2.71365 | + | 5.63495i | −0.148931 | + | 0.309258i | ||||
\(333\) | −8.58280 | − | 6.23400i | −0.470335 | − | 0.341621i | ||||
\(334\) | 26.3256 | + | 6.00865i | 1.44047 | + | 0.328779i | ||||
\(335\) | 3.92133 | − | 4.91719i | 0.214245 | − | 0.268655i | ||||
\(336\) | 0.670008 | + | 2.65824i | 0.0365520 | + | 0.145019i | ||||
\(337\) | −4.32166 | −0.235416 | −0.117708 | − | 0.993048i | \(-0.537555\pi\) | ||||
−0.117708 | + | 0.993048i | \(0.537555\pi\) | |||||||
\(338\) | 12.6539 | 0.688279 | ||||||||
\(339\) | −16.2835 | + | 4.10426i | −0.884400 | + | 0.222913i | ||||
\(340\) | −1.29622 | + | 1.03370i | −0.0702977 | + | 0.0560605i | ||||
\(341\) | 5.27178 | + | 10.9470i | 0.285483 | + | 0.592811i | ||||
\(342\) | −1.65781 | + | 3.88010i | −0.0896444 | + | 0.209812i | ||||
\(343\) | 4.56021i | 0.246228i | ||||||||
\(344\) | −7.60810 | + | 12.8975i | −0.410201 | + | 0.695387i | ||||
\(345\) | 2.38552 | − | 0.0537009i | 0.128432 | − | 0.00289116i | ||||
\(346\) | −10.5948 | + | 22.0004i | −0.569582 | + | 1.18275i | ||||
\(347\) | 4.38884 | − | 2.11355i | 0.235605 | − | 0.113462i | −0.312356 | − | 0.949965i | \(-0.601118\pi\) |
0.547962 | + | 0.836503i | \(0.315404\pi\) | |||||||
\(348\) | −6.81213 | + | 5.68795i | −0.365169 | + | 0.304906i | ||||
\(349\) | −11.3416 | + | 2.58864i | −0.607101 | + | 0.138567i | −0.515011 | − | 0.857184i | \(-0.672212\pi\) |
−0.0920903 | + | 0.995751i | \(0.529355\pi\) | |||||||
\(350\) | 1.99560i | 0.106669i | ||||||||
\(351\) | −0.793178 | − | 11.7291i | −0.0423367 | − | 0.626051i | ||||
\(352\) | −8.87845 | + | 2.02645i | −0.473223 | + | 0.108010i | ||||
\(353\) | −12.8531 | − | 10.2500i | −0.684103 | − | 0.545554i | 0.218602 | − | 0.975814i | \(-0.429850\pi\) |
−0.902705 | + | 0.430260i | \(0.858422\pi\) | |||||||
\(354\) | −5.71689 | + | 27.9308i | −0.303849 | + | 1.48450i | ||||
\(355\) | −5.85697 | + | 7.34441i | −0.310856 | + | 0.389801i | ||||
\(356\) | 4.49423 | + | 2.16431i | 0.238194 | + | 0.114708i | ||||
\(357\) | 1.43638 | − | 0.362040i | 0.0760215 | − | 0.0191612i | ||||
\(358\) | 14.2712 | + | 6.87265i | 0.754256 | + | 0.363231i | ||||
\(359\) | −1.21694 | + | 0.970473i | −0.0642274 | + | 0.0512196i | −0.655077 | − | 0.755562i | \(-0.727364\pi\) |
0.590850 | + | 0.806781i | \(0.298793\pi\) | |||||||
\(360\) | 1.34646 | − | 7.42532i | 0.0709648 | − | 0.391349i | ||||
\(361\) | −4.05713 | + | 17.7754i | −0.213533 | + | 0.935550i | ||||
\(362\) | −19.0143 | + | 9.15681i | −0.999370 | + | 0.481271i | ||||
\(363\) | 3.68067 | − | 3.07327i | 0.193185 | − | 0.161305i | ||||
\(364\) | −0.335417 | − | 0.267486i | −0.0175806 | − | 0.0140201i | ||||
\(365\) | −5.70239 | − | 11.8411i | −0.298477 | − | 0.619793i | ||||
\(366\) | −4.78741 | + | 2.43971i | −0.250242 | + | 0.127526i | ||||
\(367\) | −9.93876 | + | 12.4628i | −0.518799 | + | 0.650554i | −0.970354 | − | 0.241690i | \(-0.922298\pi\) |
0.451554 | + | 0.892244i | \(0.350870\pi\) | |||||||
\(368\) | 4.71447 | − | 3.75967i | 0.245759 | − | 0.195986i | ||||
\(369\) | −13.7868 | − | 25.6119i | −0.717713 | − | 1.33330i | ||||
\(370\) | 6.09680 | + | 1.39156i | 0.316958 | + | 0.0723435i | ||||
\(371\) | 0.970880 | − | 4.25370i | 0.0504056 | − | 0.220841i | ||||
\(372\) | 3.25257 | − | 2.71581i | 0.168638 | − | 0.140808i | ||||
\(373\) | −9.30898 | + | 19.3303i | −0.482001 | + | 1.00088i | 0.508201 | + | 0.861238i | \(0.330311\pi\) |
−0.990202 | + | 0.139646i | \(0.955404\pi\) | |||||||
\(374\) | 2.67054 | + | 11.7004i | 0.138090 | + | 0.605014i | ||||
\(375\) | 6.93202 | − | 15.2641i | 0.357968 | − | 0.788233i | ||||
\(376\) | 10.8547 | + | 8.65637i | 0.559790 | + | 0.446418i | ||||
\(377\) | −4.46521 | + | 19.5634i | −0.229970 | + | 1.00756i | ||||
\(378\) | 1.55906 | − | 2.25135i | 0.0801896 | − | 0.115797i | ||||
\(379\) | −5.85327 | − | 25.6449i | −0.300662 | − | 1.31729i | −0.869131 | − | 0.494583i | \(-0.835321\pi\) |
0.568468 | − | 0.822705i | \(-0.307536\pi\) | |||||||
\(380\) | − | 0.557458i | − | 0.0285970i | ||||||
\(381\) | −0.519370 | − | 23.0716i | −0.0266081 | − | 1.18199i | ||||
\(382\) | 2.83277 | + | 12.4112i | 0.144937 | + | 0.635011i | ||||
\(383\) | 8.79515 | + | 11.0288i | 0.449411 | + | 0.563544i | 0.953996 | − | 0.299818i | \(-0.0969260\pi\) |
−0.504585 | + | 0.863362i | \(0.668355\pi\) | |||||||
\(384\) | −10.7340 | − | 21.0631i | −0.547766 | − | 1.07487i | ||||
\(385\) | −0.934699 | − | 0.450127i | −0.0476367 | − | 0.0229406i | ||||
\(386\) | 26.5278 | 1.35023 | ||||||||
\(387\) | 19.3357 | − | 3.62371i | 0.982888 | − | 0.184204i | ||||
\(388\) | 2.35867 | 0.119743 | ||||||||
\(389\) | −27.2773 | − | 13.1361i | −1.38302 | − | 0.666025i | −0.413375 | − | 0.910561i | \(-0.635650\pi\) |
−0.969640 | + | 0.244536i | \(0.921364\pi\) | |||||||
\(390\) | 3.14673 | + | 6.17477i | 0.159341 | + | 0.312671i | ||||
\(391\) | −2.03154 | − | 2.54747i | −0.102740 | − | 0.128831i | ||||
\(392\) | −3.50222 | − | 15.3442i | −0.176889 | − | 0.775001i | ||||
\(393\) | −0.220635 | − | 9.80110i | −0.0111296 | − | 0.494400i | ||||
\(394\) | 26.0119i | 1.31046i | ||||||||
\(395\) | 1.25825 | + | 5.51273i | 0.0633092 | + | 0.277376i | ||||
\(396\) | 4.02301 | + | 2.92206i | 0.202164 | + | 0.146839i | ||||
\(397\) | −2.86856 | + | 12.5680i | −0.143969 | + | 0.630770i | 0.850521 | + | 0.525941i | \(0.176287\pi\) |
−0.994490 | + | 0.104829i | \(0.966570\pi\) | |||||||
\(398\) | −18.2912 | − | 14.5867i | −0.916853 | − | 0.731166i | ||||
\(399\) | −0.205951 | + | 0.453496i | −0.0103104 | + | 0.0227032i | ||||
\(400\) | −4.06268 | − | 17.7997i | −0.203134 | − | 0.889987i | ||||
\(401\) | −3.10344 | + | 6.44436i | −0.154979 | + | 0.321816i | −0.963973 | − | 0.266000i | \(-0.914298\pi\) |
0.808995 | + | 0.587816i | \(0.200012\pi\) | |||||||
\(402\) | −12.1873 | + | 10.1761i | −0.607847 | + | 0.507537i | ||||
\(403\) | 2.13199 | − | 9.34085i | 0.106202 | − | 0.465301i | ||||
\(404\) | 8.38479 | + | 1.91377i | 0.417159 | + | 0.0952138i | ||||
\(405\) | −8.50931 | + | 5.08719i | −0.422831 | + | 0.252785i | ||||
\(406\) | −3.65460 | + | 2.91444i | −0.181375 | + | 0.144641i | ||||
\(407\) | 6.32526 | − | 7.93163i | 0.313532 | − | 0.393156i | ||||
\(408\) | −9.18143 | + | 4.67895i | −0.454549 | + | 0.231643i | ||||
\(409\) | 1.44662 | + | 3.00394i | 0.0715309 | + | 0.148535i | 0.933668 | − | 0.358139i | \(-0.116589\pi\) |
−0.862137 | + | 0.506675i | \(0.830874\pi\) | |||||||
\(410\) | 13.4064 | + | 10.6912i | 0.662093 | + | 0.528001i | ||||
\(411\) | 22.3585 | − | 18.6688i | 1.10286 | − | 0.920863i | ||||
\(412\) | −2.73402 | + | 1.31664i | −0.134696 | + | 0.0648660i | ||||
\(413\) | −0.748865 | + | 3.28099i | −0.0368492 | + | 0.161447i | ||||
\(414\) | −5.92700 | − | 1.07477i | −0.291296 | − | 0.0528219i | ||||
\(415\) | 9.32424 | − | 7.43583i | 0.457709 | − | 0.365011i | ||||
\(416\) | 6.47000 | + | 3.11579i | 0.317218 | + | 0.152764i | ||||
\(417\) | −1.33872 | + | 0.337424i | −0.0655573 | + | 0.0165237i | ||||
\(418\) | −3.63566 | − | 1.75084i | −0.177826 | − | 0.0856365i | ||||
\(419\) | −23.4791 | + | 29.4419i | −1.14703 | + | 1.43833i | −0.266820 | + | 0.963746i | \(0.585973\pi\) |
−0.880210 | + | 0.474584i | \(0.842598\pi\) | |||||||
\(420\) | −0.0725493 | + | 0.354451i | −0.00354004 | + | 0.0172955i | ||||
\(421\) | 27.3273 | + | 21.7928i | 1.33185 | + | 1.06212i | 0.992601 | + | 0.121421i | \(0.0387452\pi\) |
0.339252 | + | 0.940696i | \(0.389826\pi\) | |||||||
\(422\) | −10.4776 | + | 2.39144i | −0.510040 | + | 0.116413i | ||||
\(423\) | −0.820776 | − | 18.2211i | −0.0399075 | − | 0.885942i | ||||
\(424\) | 30.3524i | 1.47404i | ||||||||
\(425\) | −9.61813 | + | 2.19527i | −0.466548 | + | 0.106486i | ||||
\(426\) | 18.2032 | − | 15.1992i | 0.881946 | − | 0.736403i | ||||
\(427\) | −0.571455 | + | 0.275198i | −0.0276546 | + | 0.0133178i | ||||
\(428\) | 3.00525 | − | 6.24047i | 0.145264 | − | 0.301645i | ||||
\(429\) | 11.2399 | − | 0.253025i | 0.542670 | − | 0.0122162i | ||||
\(430\) | −9.64281 | + | 6.44308i | −0.465017 | + | 0.310713i | ||||
\(431\) | − | 22.9285i | − | 1.10443i | −0.833702 | − | 0.552214i | \(-0.813783\pi\) | ||
0.833702 | − | 0.552214i | \(-0.186217\pi\) | |||||||
\(432\) | −9.32274 | + | 23.2549i | −0.448541 | + | 1.11885i | ||||
\(433\) | −10.3702 | − | 21.5339i | −0.498359 | − | 1.03485i | −0.986753 | − | 0.162229i | \(-0.948132\pi\) |
0.488394 | − | 0.872623i | \(-0.337583\pi\) | |||||||
\(434\) | 1.74495 | − | 1.39155i | 0.0837602 | − | 0.0667965i | ||||
\(435\) | 16.4094 | − | 4.13598i | 0.786770 | − | 0.198305i | ||||
\(436\) | 7.70286 | 0.368900 | ||||||||
\(437\) | 1.09557 | 0.0524084 | ||||||||
\(438\) | 8.10891 | + | 32.1719i | 0.387459 | + | 1.53723i | ||||
\(439\) | 12.0611 | − | 15.1241i | 0.575643 | − | 0.721833i | −0.405720 | − | 0.913997i | \(-0.632979\pi\) |
0.981363 | + | 0.192164i | \(0.0615507\pi\) | |||||||
\(440\) | 7.03613 | + | 1.60595i | 0.335434 | + | 0.0765606i | ||||
\(441\) | −12.1512 | + | 16.7295i | −0.578630 | + | 0.796642i | ||||
\(442\) | 4.10612 | − | 8.52645i | 0.195308 | − | 0.405562i | ||||
\(443\) | −31.5587 | + | 7.20306i | −1.49940 | + | 0.342228i | −0.891951 | − | 0.452132i | \(-0.850664\pi\) |
−0.607447 | + | 0.794360i | \(0.707806\pi\) | |||||||
\(444\) | −3.22135 | − | 1.46295i | −0.152879 | − | 0.0694283i | ||||
\(445\) | −5.93054 | − | 7.43667i | −0.281135 | − | 0.352532i | ||||
\(446\) | −29.0860 | − | 6.63870i | −1.37726 | − | 0.314351i | ||||
\(447\) | −20.0825 | − | 4.11050i | −0.949871 | − | 0.194420i | ||||
\(448\) | −0.647635 | − | 1.34483i | −0.0305979 | − | 0.0635371i | ||||
\(449\) | 16.9391 | + | 21.2409i | 0.799404 | + | 1.00242i | 0.999742 | + | 0.0226941i | \(0.00722437\pi\) |
−0.200339 | + | 0.979727i | \(0.564204\pi\) | |||||||
\(450\) | −10.7181 | + | 14.7565i | −0.505258 | + | 0.695626i | ||||
\(451\) | 25.0627 | − | 12.0695i | 1.18015 | − | 0.568333i | ||||
\(452\) | −5.04615 | + | 2.43010i | −0.237351 | + | 0.114302i | ||||
\(453\) | 19.8304 | − | 26.0483i | 0.931715 | − | 1.22386i | ||||
\(454\) | −4.36008 | − | 5.46737i | −0.204629 | − | 0.256596i | ||||
\(455\) | 0.354949 | + | 0.737058i | 0.0166402 | + | 0.0345538i | ||||
\(456\) | 0.694791 | − | 3.39451i | 0.0325366 | − | 0.158963i | ||||
\(457\) | −13.5217 | − | 3.08624i | −0.632519 | − | 0.144368i | −0.105772 | − | 0.994390i | \(-0.533731\pi\) |
−0.526747 | + | 0.850022i | \(0.676589\pi\) | |||||||
\(458\) | 19.1144 | + | 23.9687i | 0.893156 | + | 1.11998i | ||||
\(459\) | 12.5658 | + | 5.03756i | 0.586523 | + | 0.235133i | ||||
\(460\) | 0.775876 | − | 0.177089i | 0.0361754 | − | 0.00825680i | ||||
\(461\) | 2.46453 | − | 5.11764i | 0.114784 | − | 0.238352i | −0.835660 | − | 0.549247i | \(-0.814914\pi\) |
0.950444 | + | 0.310895i | \(0.100629\pi\) | |||||||
\(462\) | 2.08382 | + | 1.58640i | 0.0969481 | + | 0.0738061i | ||||
\(463\) | −9.48348 | − | 2.16454i | −0.440734 | − | 0.100595i | −0.00360530 | − | 0.999994i | \(-0.501148\pi\) |
−0.437129 | + | 0.899399i | \(0.644005\pi\) | |||||||
\(464\) | 26.6639 | − | 33.4355i | 1.23784 | − | 1.55220i | ||||
\(465\) | −7.83494 | + | 1.97479i | −0.363337 | + | 0.0915789i | ||||
\(466\) | 24.0462 | 1.11392 | ||||||||
\(467\) | 38.7642 | 1.79379 | 0.896896 | − | 0.442241i | \(-0.145817\pi\) | ||||
0.896896 | + | 0.442241i | \(0.145817\pi\) | |||||||
\(468\) | −1.04360 | − | 3.77942i | −0.0482405 | − | 0.174704i | ||||
\(469\) | −1.46529 | + | 1.16853i | −0.0676606 | + | 0.0539575i | ||||
\(470\) | 4.66541 | + | 9.68783i | 0.215199 | + | 0.446866i | ||||
\(471\) | −10.6454 | − | 4.83449i | −0.490513 | − | 0.222762i | ||||
\(472\) | − | 23.4116i | − | 1.07761i | ||||||
\(473\) | 2.62993 | + | 18.6291i | 0.120924 | + | 0.856565i | ||||
\(474\) | −0.321256 | − | 14.2709i | −0.0147558 | − | 0.655485i | ||||
\(475\) | 1.43925 | − | 2.98863i | 0.0660373 | − | 0.137128i | ||||
\(476\) | 0.445125 | − | 0.214361i | 0.0204023 | − | 0.00982522i | ||||
\(477\) | 30.0253 | − | 26.2395i | 1.37477 | − | 1.20142i | ||||
\(478\) | −28.8163 | + | 6.57713i | −1.31803 | + | 0.300831i | ||||
\(479\) | 2.83819i | 0.129680i | 0.997896 | + | 0.0648402i | \(0.0206538\pi\) | ||||
−0.997896 | + | 0.0648402i | \(0.979346\pi\) | |||||||
\(480\) | −0.136295 | − | 6.05453i | −0.00622099 | − | 0.276350i | ||||
\(481\) | −7.79923 | + | 1.78012i | −0.355614 | + | 0.0811667i | ||||
\(482\) | −11.0463 | − | 8.80917i | −0.503147 | − | 0.401247i | ||||
\(483\) | −0.696604 | − | 0.142581i | −0.0316966 | − | 0.00648768i | ||||
\(484\) | 0.997120 | − | 1.25035i | 0.0453236 | − | 0.0568341i | ||||
\(485\) | −4.05226 | − | 1.95147i | −0.184004 | − | 0.0886115i | ||||
\(486\) | 23.6203 | − | 8.27403i | 1.07144 | − | 0.375318i | ||||
\(487\) | −7.34641 | − | 3.53784i | −0.332898 | − | 0.160315i | 0.259966 | − | 0.965618i | \(-0.416289\pi\) |
−0.592864 | + | 0.805303i | \(0.702003\pi\) | |||||||
\(488\) | 3.44972 | − | 2.75106i | 0.156162 | − | 0.124535i | ||||
\(489\) | −4.79435 | + | 23.4236i | −0.216808 | + | 1.05925i | ||||
\(490\) | 2.71240 | − | 11.8838i | 0.122534 | − | 0.536855i | ||||
\(491\) | 5.65529 | − | 2.72345i | 0.255220 | − | 0.122907i | −0.301900 | − | 0.953340i | \(-0.597621\pi\) |
0.557120 | + | 0.830432i | \(0.311906\pi\) | |||||||
\(492\) | −6.21774 | − | 7.44663i | −0.280317 | − | 0.335720i | ||||
\(493\) | −18.0669 | − | 14.4079i | −0.813693 | − | 0.648899i | ||||
\(494\) | 1.38063 | + | 2.86691i | 0.0621174 | + | 0.128988i | ||||
\(495\) | −4.49405 | − | 8.34864i | −0.201992 | − | 0.375243i | ||||
\(496\) | −12.7311 | + | 15.9643i | −0.571644 | + | 0.716819i | ||||
\(497\) | 2.18858 | − | 1.74533i | 0.0981711 | − | 0.0782889i | ||||
\(498\) | −26.8246 | + | 13.6701i | −1.20204 | + | 0.612573i | ||||
\(499\) | −0.809227 | − | 0.184701i | −0.0362260 | − | 0.00826835i | 0.204370 | − | 0.978894i | \(-0.434486\pi\) |
−0.240596 | + | 0.970625i | \(0.577343\pi\) | |||||||
\(500\) | 1.24419 | − | 5.45113i | 0.0556417 | − | 0.243782i | ||||
\(501\) | 18.6707 | + | 22.3608i | 0.834146 | + | 0.999008i | ||||
\(502\) | 2.85737 | − | 5.93339i | 0.127531 | − | 0.264820i | ||||
\(503\) | 7.42790 | + | 32.5438i | 0.331194 | + | 1.45105i | 0.816822 | + | 0.576889i | \(0.195734\pi\) |
−0.485629 | + | 0.874165i | \(0.661409\pi\) | |||||||
\(504\) | −0.883545 | + | 2.06793i | −0.0393562 | + | 0.0921129i | ||||
\(505\) | −12.8219 | − | 10.2251i | −0.570567 | − | 0.455012i | ||||
\(506\) | 1.28189 | − | 5.61634i | 0.0569871 | − | 0.249677i | ||||
\(507\) | 10.8617 | + | 8.26899i | 0.482387 | + | 0.367239i | ||||
\(508\) | −1.71272 | − | 7.50390i | −0.0759895 | − | 0.332932i | ||||
\(509\) | 2.55886i | 0.113419i | 0.998391 | + | 0.0567097i | \(0.0180609\pi\) | ||||
−0.998391 | + | 0.0567097i | \(0.981939\pi\) | |||||||
\(510\) | −7.97893 | + | 0.179616i | −0.353313 | + | 0.00795351i | ||||
\(511\) | 0.871484 | + | 3.81822i | 0.0385522 | + | 0.168908i | ||||
\(512\) | 4.18770 | + | 5.25120i | 0.185072 | + | 0.232073i | ||||
\(513\) | −3.95858 | + | 2.24723i | −0.174775 | + | 0.0992178i | ||||
\(514\) | −16.5992 | − | 7.99377i | −0.732161 | − | 0.352590i | ||||
\(515\) | 5.78645 | 0.254982 | ||||||||
\(516\) | 6.07558 | − | 2.47720i | 0.267462 | − | 0.109053i | ||||
\(517\) | 17.4436 | 0.767169 | ||||||||
\(518\) | −1.67898 | − | 0.808552i | −0.0737700 | − | 0.0355258i | ||||
\(519\) | −23.4711 | + | 11.9611i | −1.03026 | + | 0.525034i | ||||
\(520\) | −3.54830 | − | 4.44943i | −0.155603 | − | 0.195120i | ||||
\(521\) | −8.64952 | − | 37.8960i | −0.378942 | − | 1.66025i | −0.700718 | − | 0.713438i | \(-0.747137\pi\) |
0.321776 | − | 0.946816i | \(-0.395720\pi\) | |||||||
\(522\) | −42.6771 | + | 1.92240i | −1.86792 | + | 0.0841412i | ||||
\(523\) | − | 7.53830i | − | 0.329627i | −0.986325 | − | 0.164813i | \(-0.947298\pi\) | ||
0.986325 | − | 0.164813i | \(-0.0527022\pi\) | |||||||
\(524\) | −0.727583 | − | 3.18775i | −0.0317846 | − | 0.139258i | ||||
\(525\) | −1.30408 | + | 1.71297i | −0.0569145 | + | 0.0747601i | ||||
\(526\) | 3.14325 | − | 13.7715i | 0.137052 | − | 0.600466i | ||||
\(527\) | 8.62636 | + | 6.87929i | 0.375770 | + | 0.299667i | ||||
\(528\) | −21.8163 | − | 9.90764i | −0.949431 | − | 0.431175i | ||||
\(529\) | −4.76995 | − | 20.8985i | −0.207389 | − | 0.908631i | ||||
\(530\) | −10.1995 | + | 21.1794i | −0.443036 | + | 0.919974i | ||||
\(531\) | −23.1593 | + | 20.2392i | −1.00503 | + | 0.878307i | ||||
\(532\) | −0.0369648 | + | 0.161953i | −0.00160263 | + | 0.00702157i | ||||
\(533\) | −21.3855 | − | 4.88111i | −0.926310 | − | 0.211424i | ||||
\(534\) | 10.9028 | + | 21.3943i | 0.471809 | + | 0.925823i | ||||
\(535\) | −10.3262 | + | 8.23487i | −0.446441 | + | 0.356025i | ||||
\(536\) | 8.12901 | − | 10.1935i | 0.351120 | − | 0.440290i | ||||
\(537\) | 7.75892 | + | 15.2252i | 0.334822 | + | 0.657015i | ||||
\(538\) | 3.20994 | + | 6.66550i | 0.138390 | + | 0.287370i | ||||
\(539\) | −15.4602 | − | 12.3291i | −0.665919 | − | 0.531053i | ||||
\(540\) | −2.44019 | + | 2.23134i | −0.105009 | + | 0.0960214i | ||||
\(541\) | 17.3249 | − | 8.34322i | 0.744854 | − | 0.358703i | −0.0226528 | − | 0.999743i | \(-0.507211\pi\) |
0.767507 | + | 0.641040i | \(0.221497\pi\) | |||||||
\(542\) | 4.64295 | − | 20.3421i | 0.199432 | − | 0.873767i | ||||
\(543\) | −22.3051 | − | 4.56543i | −0.957205 | − | 0.195921i | ||||
\(544\) | −6.46559 | + | 5.15613i | −0.277210 | + | 0.221067i | ||||
\(545\) | −13.2337 | − | 6.37302i | −0.566870 | − | 0.272990i | ||||
\(546\) | −0.504744 | − | 2.00256i | −0.0216011 | − | 0.0857016i | ||||
\(547\) | 19.1001 | + | 9.19810i | 0.816659 | + | 0.393282i | 0.795095 | − | 0.606485i | \(-0.207421\pi\) |
0.0215645 | + | 0.999767i | \(0.493135\pi\) | |||||||
\(548\) | 6.05708 | − | 7.59534i | 0.258746 | − | 0.324457i | ||||
\(549\) | −5.70368 | − | 1.03427i | −0.243427 | − | 0.0441416i | ||||
\(550\) | −13.6369 | − | 10.8751i | −0.581479 | − | 0.463714i | ||||
\(551\) | 7.57510 | − | 1.72897i | 0.322710 | − | 0.0736565i | ||||
\(552\) | 4.94524 | − | 0.111323i | 0.210483 | − | 0.00473823i | ||||
\(553\) | − | 1.68500i | − | 0.0716535i | ||||||
\(554\) | −46.7317 | + | 10.6662i | −1.98544 | + | 0.453164i | ||||
\(555\) | 4.32399 | + | 5.17859i | 0.183543 | + | 0.219819i | ||||
\(556\) | −0.414859 | + | 0.199786i | −0.0175939 | + | 0.00847280i | ||||
\(557\) | −0.299407 | + | 0.621725i | −0.0126863 | + | 0.0263433i | −0.907216 | − | 0.420666i | \(-0.861797\pi\) |
0.894529 | + | 0.447009i | \(0.147511\pi\) | |||||||
\(558\) | 20.3769 | − | 0.917882i | 0.862622 | − | 0.0388571i | ||||
\(559\) | 7.53766 | − | 12.7781i | 0.318809 | − | 0.540456i | ||||
\(560\) | − | 1.74347i | − | 0.0736752i | ||||||
\(561\) | −5.35361 | + | 11.7885i | −0.226030 | + | 0.497709i | ||||
\(562\) | −6.86960 | − | 14.2649i | −0.289777 | − | 0.601727i | ||||
\(563\) | 23.2540 | − | 18.5444i | 0.980038 | − | 0.781554i | 0.00418710 | − | 0.999991i | \(-0.498667\pi\) |
0.975851 | + | 0.218437i | \(0.0700958\pi\) | |||||||
\(564\) | −1.48681 | − | 5.89886i | −0.0626058 | − | 0.248387i | ||||
\(565\) | 10.6800 | 0.449310 | ||||||||
\(566\) | −30.8217 | −1.29553 | ||||||||
\(567\) | 2.80946 | − | 0.913689i | 0.117986 | − | 0.0383713i | ||||
\(568\) | −12.1416 | + | 15.2251i | −0.509452 | + | 0.638832i | ||||
\(569\) | 34.1982 | + | 7.80551i | 1.43366 | + | 0.327224i | 0.867651 | − | 0.497173i | \(-0.165629\pi\) |
0.566011 | + | 0.824397i | \(0.308486\pi\) | |||||||
\(570\) | 1.62549 | − | 2.13516i | 0.0680841 | − | 0.0894320i | ||||
\(571\) | 18.3135 | − | 38.0284i | 0.766397 | − | 1.59144i | −0.0393823 | − | 0.999224i | \(-0.512539\pi\) |
0.805779 | − | 0.592216i | \(-0.201747\pi\) | |||||||
\(572\) | 3.65573 | − | 0.834396i | 0.152854 | − | 0.0348878i | ||||
\(573\) | −5.67883 | + | 12.5046i | −0.237237 | + | 0.522386i | ||||
\(574\) | −3.18590 | − | 3.99499i | −0.132977 | − | 0.166748i | ||||
\(575\) | 4.61682 | + | 1.05376i | 0.192535 | + | 0.0439448i | ||||
\(576\) | 2.43399 | − | 13.4227i | 0.101416 | − | 0.559279i | ||||
\(577\) | 7.43734 | + | 15.4438i | 0.309621 | + | 0.642934i | 0.996478 | − | 0.0838587i | \(-0.0267244\pi\) |
−0.686857 | + | 0.726793i | \(0.741010\pi\) | |||||||
\(578\) | −10.2224 | − | 12.8185i | −0.425196 | − | 0.533179i | ||||
\(579\) | 22.7708 | + | 17.3353i | 0.946321 | + | 0.720429i | ||||
\(580\) | 5.08515 | − | 2.44888i | 0.211149 | − | 0.101684i | ||||
\(581\) | −3.20196 | + | 1.54198i | −0.132840 | + | 0.0639721i | ||||
\(582\) | 9.03412 | + | 6.87763i | 0.374476 | + | 0.285087i | ||||
\(583\) | 23.7768 | + | 29.8151i | 0.984733 | + | 1.23482i | ||||
\(584\) | −11.8212 | − | 24.5469i | −0.489164 | − | 1.01576i | ||||
\(585\) | −1.33400 | + | 7.35657i | −0.0551539 | + | 0.304157i | ||||
\(586\) | 42.2664 | + | 9.64703i | 1.74601 | + | 0.398515i | ||||
\(587\) | −11.0218 | − | 13.8209i | −0.454917 | − | 0.570448i | 0.500489 | − | 0.865743i | \(-0.333154\pi\) |
−0.955406 | + | 0.295295i | \(0.904582\pi\) | |||||||
\(588\) | −2.85155 | + | 6.27902i | −0.117596 | + | 0.258942i | ||||
\(589\) | −3.61686 | + | 0.825525i | −0.149030 | + | 0.0340152i | ||||
\(590\) | 7.86711 | − | 16.3362i | 0.323884 | − | 0.672551i | ||||
\(591\) | −16.9982 | + | 22.3280i | −0.699211 | + | 0.918449i | ||||
\(592\) | 16.6217 | + | 3.79379i | 0.683148 | + | 0.155924i | ||||
\(593\) | 0.954086 | − | 1.19639i | 0.0391796 | − | 0.0491297i | −0.761856 | − | 0.647747i | \(-0.775711\pi\) |
0.801035 | + | 0.598617i | \(0.204283\pi\) | |||||||
\(594\) | 6.88841 | + | 22.9226i | 0.282635 | + | 0.940527i | ||||
\(595\) | −0.942090 | −0.0386219 | ||||||||
\(596\) | −6.83687 | −0.280049 | ||||||||
\(597\) | −6.16858 | − | 24.4737i | −0.252463 | − | 1.00164i | ||||
\(598\) | −3.55160 | + | 2.83231i | −0.145236 | + | 0.115822i | ||||
\(599\) | −2.24426 | − | 4.66025i | −0.0916980 | − | 0.190413i | 0.850075 | − | 0.526661i | \(-0.176556\pi\) |
−0.941773 | + | 0.336248i | \(0.890842\pi\) | |||||||
\(600\) | 6.19285 | − | 13.6364i | 0.252822 | − | 0.556705i | ||||
\(601\) | 14.9409i | 0.609451i | 0.952440 | + | 0.304725i | \(0.0985647\pi\) | ||||
−0.952440 | + | 0.304725i | \(0.901435\pi\) | |||||||
\(602\) | 3.22868 | − | 1.23244i | 0.131591 | − | 0.0502305i | ||||
\(603\) | −17.1111 | + | 0.770774i | −0.696817 | + | 0.0313883i | ||||
\(604\) | 4.73750 | − | 9.83751i | 0.192766 | − | 0.400283i | ||||
\(605\) | −2.74756 | + | 1.32316i | −0.111704 | + | 0.0537940i | ||||
\(606\) | 26.5348 | + | 31.7792i | 1.07790 | + | 1.29094i | ||||
\(607\) | −27.6164 | + | 6.30327i | −1.12092 | + | 0.255842i | −0.742535 | − | 0.669808i | \(-0.766377\pi\) |
−0.378382 | + | 0.925650i | \(0.623519\pi\) | |||||||
\(608\) | − | 2.78061i | − | 0.112769i | ||||||
\(609\) | −5.04153 | + | 0.113491i | −0.204293 | + | 0.00459889i | ||||
\(610\) | 3.33161 | − | 0.760418i | 0.134893 | − | 0.0307884i | ||||
\(611\) | −10.7542 | − | 8.57622i | −0.435070 | − | 0.346957i | ||||
\(612\) | 4.44279 | + | 0.805628i | 0.179589 | + | 0.0325656i | ||||
\(613\) | 19.2363 | − | 24.1216i | 0.776947 | − | 0.974260i | −0.223053 | − | 0.974806i | \(-0.571602\pi\) |
1.00000 | 0.000546012i | \(0.000173801\pi\) | ||||||||
\(614\) | 47.7959 | + | 23.0173i | 1.92889 | + | 0.928903i | ||||
\(615\) | 4.52122 | + | 17.9378i | 0.182313 | + | 0.723322i | ||||
\(616\) | −1.93765 | − | 0.933125i | −0.0780703 | − | 0.0375967i | ||||
\(617\) | −11.3994 | + | 9.09070i | −0.458922 | + | 0.365978i | −0.825493 | − | 0.564412i | \(-0.809103\pi\) |
0.366571 | + | 0.930390i | \(0.380532\pi\) | |||||||
\(618\) | −14.3109 | − | 2.92917i | −0.575671 | − | 0.117829i | ||||
\(619\) | −4.98626 | + | 21.8462i | −0.200415 | + | 0.878074i | 0.770270 | + | 0.637718i | \(0.220121\pi\) |
−0.970685 | + | 0.240356i | \(0.922736\pi\) | |||||||
\(620\) | −2.42799 | + | 1.16926i | −0.0975104 | + | 0.0469586i | ||||
\(621\) | −4.38525 | − | 4.79571i | −0.175974 | − | 0.192445i | ||||
\(622\) | −7.02476 | − | 5.60206i | −0.281667 | − | 0.224622i | ||||
\(623\) | 1.22983 | + | 2.55376i | 0.0492720 | + | 0.102314i | ||||
\(624\) | 8.57891 | + | 16.8343i | 0.343431 | + | 0.673909i | ||||
\(625\) | 5.15685 | − | 6.46649i | 0.206274 | − | 0.258660i | ||||
\(626\) | −28.3967 | + | 22.6456i | −1.13496 | + | 0.905101i | ||||
\(627\) | −1.97662 | − | 3.87869i | −0.0789387 | − | 0.154900i | ||||
\(628\) | −3.80170 | − | 0.867713i | −0.151704 | − | 0.0346255i | ||||
\(629\) | 2.04998 | − | 8.98157i | 0.0817382 | − | 0.358119i | ||||
\(630\) | −1.31142 | + | 1.14606i | −0.0522481 | + | 0.0456602i | ||||
\(631\) | 11.5508 | − | 23.9855i | 0.459830 | − | 0.954846i | −0.534161 | − | 0.845383i | \(-0.679372\pi\) |
0.993991 | − | 0.109464i | \(-0.0349133\pi\) | |||||||
\(632\) | 2.60837 | + | 11.4280i | 0.103755 | + | 0.454582i | ||||
\(633\) | −10.5564 | − | 4.79409i | −0.419580 | − | 0.190548i | ||||
\(634\) | 15.4562 | + | 12.3259i | 0.613844 | + | 0.489524i | ||||
\(635\) | −3.26592 | + | 14.3089i | −0.129604 | + | 0.567833i | ||||
\(636\) | 8.05589 | − | 10.5818i | 0.319437 | − | 0.419596i | ||||
\(637\) | 3.46979 | + | 15.2022i | 0.137478 | + | 0.602331i | ||||
\(638\) | − | 40.8559i | − | 1.61750i | ||||||
\(639\) | 25.5574 | − | 1.15124i | 1.01104 | − | 0.0455424i | ||||
\(640\) | 3.34560 | + | 14.6580i | 0.132246 | + | 0.579409i | ||||
\(641\) | 20.6816 | + | 25.9339i | 0.816873 | + | 1.02433i | 0.999156 | + | 0.0410801i | \(0.0130799\pi\) |
−0.182283 | + | 0.983246i | \(0.558349\pi\) | |||||||
\(642\) | 29.7072 | − | 15.1391i | 1.17245 | − | 0.597492i | ||||
\(643\) | 2.63651 | + | 1.26968i | 0.103974 | + | 0.0500712i | 0.485148 | − | 0.874432i | \(-0.338766\pi\) |
−0.381174 | + | 0.924503i | \(0.624480\pi\) | |||||||
\(644\) | −0.237151 | −0.00934506 | ||||||||
\(645\) | −12.4875 | − | 0.770774i | −0.491696 | − | 0.0303492i | ||||
\(646\) | −3.66441 | −0.144174 | ||||||||
\(647\) | −27.7441 | − | 13.3608i | −1.09073 | − | 0.525269i | −0.199999 | − | 0.979796i | \(-0.564094\pi\) |
−0.890733 | + | 0.454527i | \(0.849808\pi\) | |||||||
\(648\) | −17.6400 | + | 10.5459i | −0.692965 | + | 0.414281i | ||||
\(649\) | −18.3396 | − | 22.9972i | −0.719894 | − | 0.902718i | ||||
\(650\) | 3.06058 | + | 13.4093i | 0.120046 | + | 0.525954i | ||||
\(651\) | 2.40716 | − | 0.0541882i | 0.0943442 | − | 0.00212380i | ||||
\(652\) | 7.97428i | 0.312297i | ||||||||
\(653\) | 8.82620 | + | 38.6701i | 0.345396 | + | 1.51328i | 0.787500 | + | 0.616315i | \(0.211375\pi\) |
−0.442104 | + | 0.896964i | \(0.645768\pi\) | |||||||
\(654\) | 29.5033 | + | 22.4607i | 1.15367 | + | 0.878283i | ||||
\(655\) | −1.38740 | + | 6.07861i | −0.0542103 | + | 0.237511i | ||||
\(656\) | 36.5497 | + | 29.1474i | 1.42703 | + | 1.13802i | ||||
\(657\) | −14.0631 | + | 32.9145i | −0.548653 | + | 1.28412i | ||||
\(658\) | −0.713005 | − | 3.12388i | −0.0277958 | − | 0.121782i | ||||
\(659\) | 13.0819 | − | 27.1648i | 0.509598 | − | 1.05819i | −0.474449 | − | 0.880283i | \(-0.657353\pi\) |
0.984047 | − | 0.177908i | \(-0.0569329\pi\) | |||||||
\(660\) | −2.02678 | − | 2.42736i | −0.0788923 | − | 0.0944847i | ||||
\(661\) | −2.61247 | + | 11.4460i | −0.101613 | + | 0.445197i | 0.898369 | + | 0.439242i | \(0.144753\pi\) |
−0.999982 | + | 0.00595550i | \(0.998104\pi\) | |||||||
\(662\) | 12.1592 | + | 2.77525i | 0.472579 | + | 0.107863i | ||||
\(663\) | 9.09642 | − | 4.63563i | 0.353276 | − | 0.180033i | ||||
\(664\) | 19.3294 | − | 15.4147i | 0.750125 | − | 0.598205i | ||||
\(665\) | 0.197500 | − | 0.247657i | 0.00765871 | − | 0.00960372i | ||||
\(666\) | −8.07254 | − | 14.9964i | −0.312805 | − | 0.581100i | ||||
\(667\) | 4.81279 | + | 9.99386i | 0.186352 | + | 0.386964i | ||||
\(668\) | 7.59613 | + | 6.05771i | 0.293903 | + | 0.234380i | ||||
\(669\) | −20.6285 | − | 24.7055i | −0.797542 | − | 0.955170i | ||||
\(670\) | 9.09763 | − | 4.38119i | 0.351472 | − | 0.169260i | ||||
\(671\) | 1.23359 | − | 5.40472i | 0.0476223 | − | 0.208647i | ||||
\(672\) | −0.361877 | + | 1.76801i | −0.0139597 | + | 0.0682024i | ||||
\(673\) | −15.6711 | + | 12.4973i | −0.604076 | + | 0.481734i | −0.877123 | − | 0.480266i | \(-0.840540\pi\) |
0.273047 | + | 0.962001i | \(0.411969\pi\) | |||||||
\(674\) | −6.25137 | − | 3.01050i | −0.240794 | − | 0.115960i | ||||
\(675\) | −18.8432 | + | 5.66250i | −0.725274 | + | 0.217950i | ||||
\(676\) | 4.10209 | + | 1.97546i | 0.157773 | + | 0.0759794i | ||||
\(677\) | 4.80387 | − | 6.02386i | 0.184628 | − | 0.231516i | −0.680901 | − | 0.732376i | \(-0.738411\pi\) |
0.865528 | + | 0.500860i | \(0.166983\pi\) | |||||||
\(678\) | −26.4135 | − | 5.40633i | −1.01440 | − | 0.207629i | ||||
\(679\) | 1.04787 | + | 0.835646i | 0.0402134 | + | 0.0320691i | ||||
\(680\) | 6.38946 | − | 1.45835i | 0.245024 | − | 0.0559252i | ||||
\(681\) | −0.169785 | − | 7.54225i | −0.00650619 | − | 0.289020i | ||||
\(682\) | 19.5074i | 0.746975i | ||||||||
\(683\) | 26.3979 | − | 6.02515i | 1.01009 | − | 0.230546i | 0.314708 | − | 0.949188i | \(-0.398093\pi\) |
0.695380 | + | 0.718642i | \(0.255236\pi\) | |||||||
\(684\) | −1.14317 | + | 0.999030i | −0.0437102 | + | 0.0381989i | ||||
\(685\) | −16.6903 | + | 8.03762i | −0.637703 | + | 0.307102i | ||||
\(686\) | −3.17668 | + | 6.59644i | −0.121286 | + | 0.251853i | ||||
\(687\) | 0.744330 | + | 33.0649i | 0.0283980 | + | 1.26150i | ||||
\(688\) | −26.2892 | + | 17.5657i | −1.00226 | + | 0.669688i | ||||
\(689\) | − | 30.0714i | − | 1.14563i | ||||||
\(690\) | 3.48811 | + | 1.58409i | 0.132790 | + | 0.0603053i | ||||
\(691\) | 14.6683 | + | 30.4589i | 0.558007 | + | 1.15871i | 0.968997 | + | 0.247073i | \(0.0794688\pi\) |
−0.410990 | + | 0.911640i | \(0.634817\pi\) | |||||||
\(692\) | −6.86921 | + | 5.47801i | −0.261128 | + | 0.208243i | ||||
\(693\) | 0.752021 | + | 2.72345i | 0.0285669 | + | 0.103455i | ||||
\(694\) | 7.82086 | 0.296876 | ||||||||
\(695\) | 0.878033 | 0.0333057 | ||||||||
\(696\) | 34.0170 | − | 8.57399i | 1.28941 | − | 0.324996i | ||||
\(697\) | 15.7499 | − | 19.7497i | 0.596569 | − | 0.748074i | ||||
\(698\) | −18.2091 | − | 4.15610i | −0.689224 | − | 0.157311i | ||||
\(699\) | 20.6407 | + | 15.7136i | 0.780702 | + | 0.594345i | ||||
\(700\) | −0.311544 | + | 0.646928i | −0.0117753 | + | 0.0244516i | ||||
\(701\) | −20.8087 | + | 4.74944i | −0.785932 | + | 0.179384i | −0.596610 | − | 0.802531i | \(-0.703486\pi\) |
−0.189322 | + | 0.981915i | \(0.560629\pi\) | |||||||
\(702\) | 7.02319 | − | 17.5188i | 0.265073 | − | 0.661206i | ||||
\(703\) | 1.93132 | + | 2.42180i | 0.0728411 | + | 0.0913398i | ||||
\(704\) | 12.7192 | + | 2.90307i | 0.479371 | + | 0.109413i | ||||
\(705\) | −2.32610 | + | 11.3645i | −0.0876058 | + | 0.428012i | ||||
\(706\) | −11.4521 | − | 23.7804i | −0.431004 | − | 0.894989i | ||||
\(707\) | 3.04701 | + | 3.82083i | 0.114595 | + | 0.143697i | ||||
\(708\) | −6.21372 | + | 8.16203i | −0.233526 | + | 0.306748i | ||||
\(709\) | −4.91775 | + | 2.36826i | −0.184690 | + | 0.0889420i | −0.523944 | − | 0.851753i | \(-0.675540\pi\) |
0.339254 | + | 0.940695i | \(0.389826\pi\) | |||||||
\(710\) | −13.5884 | + | 6.54382i | −0.509963 | + | 0.245585i | ||||
\(711\) | 9.04995 | − | 12.4597i | 0.339400 | − | 0.467276i | ||||
\(712\) | −12.2942 | − | 15.4164i | −0.460743 | − | 0.577754i | ||||
\(713\) | −2.29795 | − | 4.77174i | −0.0860588 | − | 0.178703i | ||||
\(714\) | 2.32996 | + | 0.476897i | 0.0871965 | + | 0.0178474i | ||||
\(715\) | −6.97098 | − | 1.59108i | −0.260700 | − | 0.0595030i | ||||
\(716\) | 3.55347 | + | 4.45591i | 0.132800 | + | 0.166525i | ||||
\(717\) | −29.0331 | − | 13.1851i | −1.08426 | − | 0.492407i | ||||
\(718\) | −2.43636 | + | 0.556083i | −0.0909241 | + | 0.0207528i | ||||
\(719\) | 1.44884 | − | 3.00854i | 0.0540325 | − | 0.112200i | −0.872204 | − | 0.489142i | \(-0.837310\pi\) |
0.926237 | + | 0.376942i | \(0.123024\pi\) | |||||||
\(720\) | 9.36401 | − | 12.8921i | 0.348976 | − | 0.480461i | ||||
\(721\) | −1.68109 | − | 0.383697i | −0.0626070 | − | 0.0142896i | ||||
\(722\) | −18.2512 | + | 22.8863i | −0.679240 | + | 0.851740i | ||||
\(723\) | −3.72532 | − | 14.7801i | −0.138546 | − | 0.549677i | ||||
\(724\) | −7.59353 | −0.282211 | ||||||||
\(725\) | 33.5850 | 1.24731 | ||||||||
\(726\) | 7.46502 | − | 1.88156i | 0.277053 | − | 0.0698311i | ||||
\(727\) | −11.4473 | + | 9.12890i | −0.424556 | + | 0.338572i | −0.812346 | − | 0.583175i | \(-0.801810\pi\) |
0.387790 | + | 0.921748i | \(0.373239\pi\) | |||||||
\(728\) | 0.735817 | + | 1.52794i | 0.0272712 | + | 0.0566292i | ||||
\(729\) | 25.6819 | + | 8.33306i | 0.951182 | + | 0.308632i | ||||
\(730\) | − | 21.1007i | − | 0.780974i | ||||||
\(731\) | 9.49169 | + | 14.2054i | 0.351063 | + | 0.525406i | ||||
\(732\) | −1.93285 | + | 0.0435107i | −0.0714401 | + | 0.00160820i | ||||
\(733\) | 20.0057 | − | 41.5423i | 0.738927 | − | 1.53440i | −0.102924 | − | 0.994689i | \(-0.532820\pi\) |
0.841852 | − | 0.539709i | \(-0.181466\pi\) | |||||||
\(734\) | −23.0583 | + | 11.1043i | −0.851097 | + | 0.409867i | ||||
\(735\) | 10.0940 | − | 8.42826i | 0.372324 | − | 0.310881i | ||||
\(736\) | 3.87008 | − | 0.883320i | 0.142653 | − | 0.0325596i | ||||
\(737\) | − | 16.3809i | − | 0.603399i | ||||||
\(738\) | −2.10146 | − | 46.6521i | −0.0773557 | − | 1.71729i | ||||
\(739\) | −7.23979 | + | 1.65243i | −0.266320 | + | 0.0607858i | −0.353596 | − | 0.935398i | \(-0.615041\pi\) |
0.0872756 | + | 0.996184i | \(0.472184\pi\) | |||||||
\(740\) | 1.75920 | + | 1.40292i | 0.0646696 | + | 0.0515723i | ||||
\(741\) | −0.688358 | + | 3.36309i | −0.0252875 | + | 0.123546i | ||||
\(742\) | 4.36755 | − | 5.47674i | 0.160338 | − | 0.201057i | ||||
\(743\) | −18.7535 | − | 9.03121i | −0.687999 | − | 0.331323i | 0.0570134 | − | 0.998373i | \(-0.481842\pi\) |
−0.745012 | + | 0.667051i | \(0.767557\pi\) | |||||||
\(744\) | −16.2420 | + | 4.09379i | −0.595461 | + | 0.150086i | ||||
\(745\) | 11.7459 | + | 5.65654i | 0.430337 | + | 0.207239i | ||||
\(746\) | −26.9312 | + | 21.4769i | −0.986022 | + | 0.786327i | ||||
\(747\) | −31.9587 | − | 5.79519i | −1.16931 | − | 0.212035i | ||||
\(748\) | −0.960887 | + | 4.20992i | −0.0351335 | + | 0.153930i | ||||
\(749\) | 3.54603 | − | 1.70768i | 0.129569 | − | 0.0623972i | ||||
\(750\) | 20.6604 | − | 17.2509i | 0.754410 | − | 0.629912i | ||||
\(751\) | 4.01708 | + | 3.20351i | 0.146585 | + | 0.116898i | 0.694037 | − | 0.719940i | \(-0.255831\pi\) |
−0.547451 | + | 0.836837i | \(0.684402\pi\) | |||||||
\(752\) | 12.7193 | + | 26.4119i | 0.463825 | + | 0.963143i | ||||
\(753\) | 6.33002 | − | 3.22584i | 0.230679 | − | 0.117556i | ||||
\(754\) | −20.0870 | + | 25.1883i | −0.731525 | + | 0.917303i | ||||
\(755\) | −16.2783 | + | 12.9815i | −0.592428 | + | 0.472445i | ||||
\(756\) | 0.856885 | − | 0.486442i | 0.0311646 | − | 0.0176917i | ||||
\(757\) | −13.1245 | − | 2.99557i | −0.477017 | − | 0.108876i | −0.0227491 | − | 0.999741i | \(-0.507242\pi\) |
−0.454268 | + | 0.890865i | \(0.650099\pi\) | |||||||
\(758\) | 9.39752 | − | 41.1732i | 0.341333 | − | 1.49548i | ||||
\(759\) | 4.77049 | − | 3.98323i | 0.173158 | − | 0.144582i | ||||
\(760\) | −0.956114 | + | 1.98539i | −0.0346819 | + | 0.0720177i | ||||
\(761\) | −1.42684 | − | 6.25139i | −0.0517228 | − | 0.226613i | 0.942460 | − | 0.334319i | \(-0.108506\pi\) |
−0.994183 | + | 0.107707i | \(0.965649\pi\) | |||||||
\(762\) | 15.3206 | − | 33.7353i | 0.555006 | − | 1.22210i | ||||
\(763\) | 3.42208 | + | 2.72902i | 0.123888 | + | 0.0987971i | ||||
\(764\) | −1.01926 | + | 4.46566i | −0.0368755 | + | 0.161562i | ||||
\(765\) | −6.96628 | − | 5.05986i | −0.251866 | − | 0.182940i | ||||
\(766\) | 5.03964 | + | 22.0801i | 0.182090 | + | 0.797786i | ||||
\(767\) | 23.1949i | 0.837518i | ||||||||
\(768\) | −0.499694 | − | 22.1976i | −0.0180312 | − | 0.800985i | ||||
\(769\) | −7.47605 | − | 32.7547i | −0.269593 | − | 1.18117i | −0.910488 | − | 0.413536i | \(-0.864294\pi\) |
0.640895 | − | 0.767629i | \(-0.278564\pi\) | |||||||
\(770\) | −1.03850 | − | 1.30224i | −0.0374249 | − | 0.0469293i | ||||
\(771\) | −9.02461 | − | 17.7088i | −0.325014 | − | 0.637769i | ||||
\(772\) | 8.59971 | + | 4.14140i | 0.309510 | + | 0.149052i | ||||
\(773\) | −20.3067 | −0.730382 | −0.365191 | − | 0.930933i | \(-0.618996\pi\) | ||||
−0.365191 | + | 0.930933i | \(0.618996\pi\) | |||||||
\(774\) | 30.4938 | + | 8.22760i | 1.09608 | + | 0.295735i | ||||
\(775\) | −16.0357 | −0.576019 | ||||||||
\(776\) | −8.40043 | − | 4.04543i | −0.301558 | − | 0.145223i | ||||
\(777\) | −0.912820 | − | 1.79121i | −0.0327472 | − | 0.0642594i | ||||
\(778\) | −30.3065 | − | 38.0032i | −1.08654 | − | 1.36248i | ||||
\(779\) | 1.89001 | + | 8.28066i | 0.0677166 | + | 0.296686i | ||||
\(780\) | 0.0561199 | + | 2.49297i | 0.00200941 | + | 0.0892628i | ||||
\(781\) | 24.4668i | 0.875492i | ||||||||
\(782\) | −1.16408 | − | 5.10016i | −0.0416273 | − | 0.182381i | ||||
\(783\) | −37.8891 | − | 26.2383i | −1.35405 | − | 0.937681i | ||||
\(784\) | 7.39481 | − | 32.3988i | 0.264100 | − | 1.15710i | ||||
\(785\) | 5.81351 | + | 4.63612i | 0.207493 | + | 0.165470i | ||||
\(786\) | 6.50837 | − | 14.3312i | 0.232146 | − | 0.511176i | ||||
\(787\) | 12.1560 | + | 53.2588i | 0.433314 | + | 1.89847i | 0.438998 | + | 0.898488i | \(0.355333\pi\) |
−0.00568458 | + | 0.999984i | \(0.501809\pi\) | |||||||
\(788\) | −4.06087 | + | 8.43248i | −0.144662 | + | 0.300395i | ||||
\(789\) | 11.6974 | − | 9.76705i | 0.416440 | − | 0.347716i | ||||
\(790\) | −2.02013 | + | 8.85078i | −0.0718731 | + | 0.314897i | ||||
\(791\) | −3.10276 | − | 0.708184i | −0.110321 | − | 0.0251801i | ||||
\(792\) | −9.31626 | − | 17.3069i | −0.331039 | − | 0.614975i | ||||
\(793\) | −3.41778 | + | 2.72559i | −0.121369 | + | 0.0967885i | ||||
\(794\) | −12.9044 | + | 16.1816i | −0.457960 | + | 0.574264i | ||||
\(795\) | −22.5952 | + | 11.5147i | −0.801368 | + | 0.408386i | ||||
\(796\) | −3.65237 | − | 7.58422i | −0.129455 | − | 0.268815i | ||||
\(797\) | −8.44170 | − | 6.73203i | −0.299020 | − | 0.238461i | 0.462473 | − | 0.886633i | \(-0.346962\pi\) |
−0.761494 | + | 0.648172i | \(0.775534\pi\) | |||||||
\(798\) | −0.613820 | + | 0.512524i | −0.0217290 | + | 0.0181431i | ||||
\(799\) | 14.2717 | − | 6.87290i | 0.504897 | − | 0.243146i | ||||
\(800\) | 2.67448 | − | 11.7177i | 0.0945572 | − | 0.414282i | ||||
\(801\) | −4.62203 | + | 25.4890i | −0.163311 | + | 0.900611i | ||||
\(802\) | −8.97838 | + | 7.16002i | −0.317038 | + | 0.252829i | ||||
\(803\) | −30.8409 | − | 14.8522i | −1.08835 | − | 0.524123i | ||||
\(804\) | −5.53949 | + | 1.39623i | −0.195363 | + | 0.0492412i | ||||
\(805\) | 0.407432 | + | 0.196209i | 0.0143601 | + | 0.00691545i | ||||
\(806\) | 9.59087 | − | 12.0266i | 0.337824 | − | 0.423618i | ||||
\(807\) | −1.60042 | + | 7.81911i | −0.0563375 | + | 0.275246i | ||||
\(808\) | −26.5801 | − | 21.1969i | −0.935085 | − | 0.745706i | ||||
\(809\) | 14.9707 | − | 3.41695i | 0.526340 | − | 0.120134i | 0.0489096 | − | 0.998803i | \(-0.484425\pi\) |
0.477430 | + | 0.878670i | \(0.341568\pi\) | |||||||
\(810\) | −15.8527 | + | 1.43108i | −0.557006 | + | 0.0502830i | ||||
\(811\) | − | 7.59647i | − | 0.266748i | −0.991066 | − | 0.133374i | \(-0.957419\pi\) | ||
0.991066 | − | 0.133374i | \(-0.0425811\pi\) | |||||||
\(812\) | −1.63973 | + | 0.374257i | −0.0575432 | + | 0.0131339i | ||||
\(813\) | 17.2784 | − | 14.4271i | 0.605982 | − | 0.505979i | ||||
\(814\) | 14.6748 | − | 7.06704i | 0.514353 | − | 0.247699i | ||||
\(815\) | 6.59758 | − | 13.7000i | 0.231103 | − | 0.479891i | ||||
\(816\) | −21.7529 | + | 0.489685i | −0.761505 | + | 0.0171424i | ||||
\(817\) | −5.72416 | − | 0.482844i | −0.200263 | − | 0.0168926i | ||||
\(818\) | 5.35299i | 0.187163i | ||||||||
\(819\) | 0.875365 | − | 2.04878i | 0.0305877 | − | 0.0715902i | ||||
\(820\) | 2.67697 | + | 5.55879i | 0.0934840 | + | 0.194121i | ||||
\(821\) | 1.60820 | − | 1.28249i | 0.0561264 | − | 0.0447593i | −0.595025 | − | 0.803707i | \(-0.702858\pi\) |
0.651151 | + | 0.758948i | \(0.274286\pi\) | |||||||
\(822\) | 45.3468 | − | 11.4297i | 1.58165 | − | 0.398655i | ||||
\(823\) | −14.1525 | −0.493325 | −0.246663 | − | 0.969101i | \(-0.579334\pi\) | ||||
−0.246663 | + | 0.969101i | \(0.579334\pi\) | |||||||
\(824\) | 11.9955 | 0.417881 | ||||||||
\(825\) | −4.59896 | − | 18.2463i | −0.160115 | − | 0.635253i | ||||
\(826\) | −3.36881 | + | 4.22435i | −0.117216 | + | 0.146984i | ||||
\(827\) | 22.1177 | + | 5.04821i | 0.769106 | + | 0.175544i | 0.589032 | − | 0.808110i | \(-0.299509\pi\) |
0.180074 | + | 0.983653i | \(0.442366\pi\) | |||||||
\(828\) | −1.75361 | − | 1.27371i | −0.0609423 | − | 0.0442646i | ||||
\(829\) | −0.378811 | + | 0.786609i | −0.0131567 | + | 0.0273201i | −0.907444 | − | 0.420174i | \(-0.861969\pi\) |
0.894287 | + | 0.447494i | \(0.147683\pi\) | |||||||
\(830\) | 18.6676 | − | 4.26075i | 0.647960 | − | 0.147893i | ||||
\(831\) | −47.0834 | − | 21.3825i | −1.63331 | − | 0.741750i | ||||
\(832\) | −6.41424 | − | 8.04321i | −0.222374 | − | 0.278848i | ||||
\(833\) | −17.5067 | − | 3.99580i | −0.606573 | − | 0.138446i | ||||
\(834\) | −2.17153 | − | 0.444471i | −0.0751941 | − | 0.0153908i | ||||
\(835\) | −8.03845 | − | 16.6920i | −0.278182 | − | 0.577651i | ||||
\(836\) | −0.905265 | − | 1.13517i | −0.0313093 | − | 0.0392606i | ||||
\(837\) | 18.0908 | + | 12.5279i | 0.625310 | + | 0.433028i | ||||
\(838\) | −54.4724 | + | 26.2325i | −1.88172 | + | 0.906188i | ||||
\(839\) | 45.4327 | − | 21.8792i | 1.56851 | − | 0.755354i | 0.570678 | − | 0.821174i | \(-0.306680\pi\) |
0.997832 | + | 0.0658196i | \(0.0209662\pi\) | |||||||
\(840\) | 0.866316 | − | 1.13795i | 0.0298907 | − | 0.0392630i | ||||
\(841\) | 30.9675 | + | 38.8320i | 1.06784 | + | 1.33903i | ||||
\(842\) | 24.3485 | + | 50.5602i | 0.839104 | + | 1.74242i | ||||
\(843\) | 3.42507 | − | 16.7337i | 0.117966 | − | 0.576340i | ||||
\(844\) | −3.76993 | − | 0.860462i | −0.129766 | − | 0.0296183i | ||||
\(845\) | −5.41309 | − | 6.78780i | −0.186216 | − | 0.233507i | ||||
\(846\) | 11.5057 | − | 26.9290i | 0.395574 | − | 0.925838i | ||||
\(847\) | 0.885964 | − | 0.202215i | 0.0304421 | − | 0.00694820i | ||||
\(848\) | −27.8068 | + | 57.7413i | −0.954888 | + | 1.98285i | ||||
\(849\) | −26.4565 | − | 20.1412i | −0.907985 | − | 0.691245i | ||||
\(850\) | −15.4421 | − | 3.52455i | −0.529658 | − | 0.120891i | ||||
\(851\) | −2.75716 | + | 3.45737i | −0.0945141 | + | 0.118517i | ||||
\(852\) | 8.27389 | − | 2.08543i | 0.283459 | − | 0.0714457i | ||||
\(853\) | 14.4100 | 0.493390 | 0.246695 | − | 0.969093i | \(-0.420655\pi\) | ||||
0.246695 | + | 0.969093i | \(0.420655\pi\) | |||||||
\(854\) | −1.01833 | −0.0348464 | ||||||||
\(855\) | 2.79055 | − | 0.770548i | 0.0954348 | − | 0.0263522i | ||||
\(856\) | −21.4065 | + | 17.0711i | −0.731658 | + | 0.583478i | ||||
\(857\) | 1.67054 | + | 3.46890i | 0.0570644 | + | 0.118495i | 0.927551 | − | 0.373697i | \(-0.121910\pi\) |
−0.870486 | + | 0.492192i | \(0.836196\pi\) | |||||||
\(858\) | 16.4351 | + | 7.46382i | 0.561084 | + | 0.254811i | ||||
\(859\) | 18.0012i | 0.614193i | 0.951678 | + | 0.307096i | \(0.0993574\pi\) | ||||
−0.951678 | + | 0.307096i | \(0.900643\pi\) | |||||||
\(860\) | −4.13185 | + | 0.583307i | −0.140895 | + | 0.0198906i | ||||
\(861\) | −0.124062 | − | 5.51111i | −0.00422801 | − | 0.187818i | ||||
\(862\) | 15.9722 | − | 33.1666i | 0.544015 | − | 1.12966i | ||||
\(863\) | 1.50665 | − | 0.725566i | 0.0512871 | − | 0.0246986i | −0.408064 | − | 0.912953i | \(-0.633796\pi\) |
0.459352 | + | 0.888255i | \(0.348082\pi\) | |||||||
\(864\) | −12.1717 | + | 11.1299i | −0.414089 | + | 0.378648i | ||||
\(865\) | 16.3338 | − | 3.72807i | 0.555364 | − | 0.126758i | ||||
\(866\) | − | 38.3731i | − | 1.30397i | ||||||
\(867\) | −0.398069 | − | 17.6832i | −0.0135191 | − | 0.600552i | ||||
\(868\) | 0.782916 | − | 0.178695i | 0.0265739 | − | 0.00606532i | ||||
\(869\) | 11.5144 | + | 9.18244i | 0.390600 | + | 0.311493i | ||||
\(870\) | 26.6177 | + | 5.44812i | 0.902423 | + | 0.184708i | ||||
\(871\) | −8.05374 | + | 10.0991i | −0.272891 | + | 0.342194i | ||||
\(872\) | −27.4338 | − | 13.2114i | −0.929026 | − | 0.447395i | ||||
\(873\) | 3.26028 | + | 11.8072i | 0.110344 | + | 0.399612i | ||||
\(874\) | 1.58477 | + | 0.763185i | 0.0536056 | + | 0.0258151i | ||||
\(875\) | 2.48401 | − | 1.98093i | 0.0839747 | − | 0.0669676i | ||||
\(876\) | −2.39381 | + | 11.6953i | −0.0808792 | + | 0.395148i | ||||
\(877\) | −7.99937 | + | 35.0475i | −0.270119 | + | 1.18347i | 0.639752 | + | 0.768581i | \(0.279037\pi\) |
−0.909872 | + | 0.414890i | \(0.863820\pi\) | |||||||
\(878\) | 27.9821 | − | 13.4755i | 0.944350 | − | 0.454775i | ||||
\(879\) | 29.9763 | + | 35.9009i | 1.01108 | + | 1.21091i | ||||
\(880\) | 11.9140 | + | 9.50110i | 0.401621 | + | 0.320282i | ||||
\(881\) | −5.40192 | − | 11.2172i | −0.181995 | − | 0.377917i | 0.789934 | − | 0.613192i | \(-0.210115\pi\) |
−0.971929 | + | 0.235276i | \(0.924401\pi\) | |||||||
\(882\) | −29.2309 | + | 15.7349i | −0.984254 | + | 0.529821i | ||||
\(883\) | −15.9773 | + | 20.0350i | −0.537680 | + | 0.674230i | −0.974258 | − | 0.225437i | \(-0.927619\pi\) |
0.436577 | + | 0.899667i | \(0.356191\pi\) | |||||||
\(884\) | 2.66222 | − | 2.12305i | 0.0895403 | − | 0.0714060i | ||||
\(885\) | 17.4283 | − | 8.88162i | 0.585844 | − | 0.298552i | ||||
\(886\) | −50.6680 | − | 11.5646i | −1.70222 | − | 0.388521i | ||||
\(887\) | −5.64745 | + | 24.7431i | −0.189623 | + | 0.830792i | 0.787192 | + | 0.616708i | \(0.211534\pi\) |
−0.976815 | + | 0.214084i | \(0.931323\pi\) | |||||||
\(888\) | 8.96373 | + | 10.7353i | 0.300803 | + | 0.360254i | ||||
\(889\) | 1.89764 | − | 3.94049i | 0.0636447 | − | 0.132160i | ||||
\(890\) | −3.39821 | − | 14.8885i | −0.113908 | − | 0.499065i | ||||
\(891\) | −9.06656 | + | 24.1776i | −0.303741 | + | 0.809980i | ||||
\(892\) | −8.39263 | − | 6.69290i | −0.281006 | − | 0.224095i | ||||
\(893\) | −1.18518 | + | 5.19259i | −0.0396604 | + | 0.173763i | ||||
\(894\) | −26.1864 | − | 19.9356i | −0.875803 | − | 0.666745i | ||||
\(895\) | −2.41832 | − | 10.5954i | −0.0808357 | − | 0.354164i | ||||
\(896\) | − | 4.48031i | − | 0.149677i | ||||||
\(897\) | −4.89945 | + | 0.110293i | −0.163588 | + | 0.00368256i | ||||
\(898\) | 9.70612 | + | 42.5253i | 0.323897 | + | 1.41909i | ||||
\(899\) | −23.4191 | − | 29.3666i | −0.781071 | − | 0.979432i | ||||
\(900\) | −5.77829 | + | 3.11044i | −0.192610 | + | 0.103681i | ||||
\(901\) | 31.2006 | + | 15.0254i | 1.03944 | + | 0.500570i | ||||
\(902\) | 44.6614 | 1.48706 | ||||||||
\(903\) | 3.57678 | + | 1.05197i | 0.119028 | + | 0.0350073i | ||||
\(904\) | 22.1398 | 0.736360 | ||||||||
\(905\) | 13.0459 | + | 6.28257i | 0.433660 | + | 0.208840i | ||||
\(906\) | 46.8305 | − | 23.8653i | 1.55584 | − | 0.792873i | ||||
\(907\) | 17.5580 | + | 22.0170i | 0.583004 | + | 0.731064i | 0.982622 | − | 0.185618i | \(-0.0594286\pi\) |
−0.399618 | + | 0.916682i | \(0.630857\pi\) | |||||||
\(908\) | −0.559898 | − | 2.45307i | −0.0185809 | − | 0.0814081i | ||||
\(909\) | 2.00984 | + | 44.6183i | 0.0666623 | + | 1.47990i | ||||
\(910\) | 1.31343i | 0.0435398i | ||||||||
\(911\) | 5.87455 | + | 25.7381i | 0.194633 | + | 0.852741i | 0.974067 | + | 0.226258i | \(0.0726492\pi\) |
−0.779435 | + | 0.626483i | \(0.784494\pi\) | |||||||
\(912\) | 4.43156 | − | 5.82108i | 0.146744 | − | 0.192755i | ||||
\(913\) | 6.91203 | − | 30.2836i | 0.228755 | − | 1.00224i | ||||
\(914\) | −17.4095 | − | 13.8836i | −0.575856 | − | 0.459230i | ||||
\(915\) | 3.35668 | + | 1.52440i | 0.110968 | + | 0.0503952i | ||||
\(916\) | 2.45456 | + | 10.7542i | 0.0811011 | + | 0.355327i | ||||
\(917\) | 0.806140 | − | 1.67397i | 0.0266211 | − | 0.0552793i | ||||
\(918\) | 14.6675 | + | 16.0404i | 0.484100 | + | 0.529411i | ||||
\(919\) | 0.579184 | − | 2.53757i | 0.0191055 | − | 0.0837067i | −0.964476 | − | 0.264169i | \(-0.914902\pi\) |
0.983582 | + | 0.180462i | \(0.0577594\pi\) | |||||||
\(920\) | −3.06702 | − | 0.700027i | −0.101117 | − | 0.0230792i | ||||
\(921\) | 25.9855 | + | 50.9909i | 0.856252 | + | 1.68021i | ||||
\(922\) | 7.12997 | − | 5.68596i | 0.234813 | − | 0.187257i | ||||
\(923\) | 12.0292 | − | 15.0842i | 0.395946 | − | 0.496501i | ||||
\(924\) | 0.427865 | + | 0.839593i | 0.0140757 | + | 0.0276206i | ||||
\(925\) | 5.80934 | + | 12.0632i | 0.191010 | + | 0.396636i | ||||
\(926\) | −12.2102 | − | 9.73731i | −0.401252 | − | 0.319988i | ||||
\(927\) | −10.3700 | − | 11.8662i | −0.340595 | − | 0.389737i | ||||
\(928\) | 25.3648 | − | 12.2150i | 0.832640 | − | 0.400978i | ||||
\(929\) | −5.44973 | + | 23.8768i | −0.178800 | + | 0.783373i | 0.803386 | + | 0.595459i | \(0.203030\pi\) |
−0.982185 | + | 0.187914i | \(0.939827\pi\) | |||||||
\(930\) | −12.7090 | − | 2.60130i | −0.416746 | − | 0.0852998i | ||||
\(931\) | 4.72053 | − | 3.76450i | 0.154709 | − | 0.123377i | ||||
\(932\) | 7.79525 | + | 3.75399i | 0.255342 | + | 0.122966i | ||||
\(933\) | −2.36906 | − | 9.39917i | −0.0775595 | − | 0.307715i | ||||
\(934\) | 56.0731 | + | 27.0034i | 1.83477 | + | 0.883578i | ||||
\(935\) | 5.13394 | − | 6.43776i | 0.167898 | − | 0.210537i | ||||
\(936\) | −2.76540 | + | 15.2503i | −0.0903900 | + | 0.498473i | ||||
\(937\) | −10.3844 | − | 8.28130i | −0.339244 | − | 0.270538i | 0.439017 | − | 0.898479i | \(-0.355327\pi\) |
−0.778262 | + | 0.627940i | \(0.783898\pi\) | |||||||
\(938\) | −2.93357 | + | 0.669568i | −0.0957844 | + | 0.0218622i | ||||
\(939\) | −39.1734 | + | 0.881841i | −1.27837 | + | 0.0287778i | ||||
\(940\) | 3.86892i | 0.126190i | ||||||||
\(941\) | 23.9771 | − | 5.47262i | 0.781632 | − | 0.178402i | 0.186956 | − | 0.982368i | \(-0.440138\pi\) |
0.594675 | + | 0.803966i | \(0.297281\pi\) | |||||||
\(942\) | −12.0310 | − | 14.4088i | −0.391991 | − | 0.469465i | ||||
\(943\) | −10.9247 | + | 5.26106i | −0.355758 | + | 0.171324i | ||||
\(944\) | 21.4481 | − | 44.5374i | 0.698076 | − | 1.44957i | ||||
\(945\) | −1.87461 | + | 0.126771i | −0.0609811 | + | 0.00412385i | ||||
\(946\) | −9.17289 | + | 28.7793i | −0.298236 | + | 0.935697i | ||||
\(947\) | 47.1029i | 1.53064i | 0.643650 | + | 0.765320i | \(0.277419\pi\) | ||||
−0.643650 | + | 0.765320i | \(0.722581\pi\) | |||||||
\(948\) | 2.12377 | − | 4.67646i | 0.0689769 | − | 0.151885i | ||||
\(949\) | 11.7117 | + | 24.3197i | 0.380179 | + | 0.789449i | ||||
\(950\) | 4.16381 | − | 3.32053i | 0.135092 | − | 0.107732i | ||||
\(951\) | 5.21251 | + | 20.6805i | 0.169027 | + | 0.670611i | ||||
\(952\) | −1.95297 | −0.0632963 | ||||||||
\(953\) | −11.9093 | −0.385779 | −0.192889 | − | 0.981221i | \(-0.561786\pi\) | ||||
−0.192889 | + | 0.981221i | \(0.561786\pi\) | |||||||
\(954\) | 61.7109 | − | 17.0401i | 1.99796 | − | 0.551693i | ||||
\(955\) | 5.44581 | − | 6.82883i | 0.176222 | − | 0.220976i | ||||
\(956\) | −10.3684 | − | 2.36651i | −0.335337 | − | 0.0765386i | ||||
\(957\) | 26.6984 | − | 35.0697i | 0.863036 | − | 1.13364i | ||||
\(958\) | −1.97711 | + | 4.10550i | −0.0638774 | + | 0.132643i | ||||
\(959\) | 5.38185 | − | 1.22837i | 0.173789 | − | 0.0396662i | ||||
\(960\) | −3.58744 | + | 7.89941i | −0.115784 | + | 0.254952i | ||||
\(961\) | −8.14634 | − | 10.2152i | −0.262785 | − | 0.329522i | ||||
\(962\) | −12.5218 | − | 2.85802i | −0.403719 | − | 0.0921462i | ||||
\(963\) | 35.3929 | + | 6.41793i | 1.14052 | + | 0.206815i | ||||
\(964\) | −2.20573 | − | 4.58024i | −0.0710417 | − | 0.147520i | ||||
\(965\) | −11.3481 | − | 14.2301i | −0.365308 | − | 0.458082i | ||||
\(966\) | −0.908329 | − | 0.691506i | −0.0292250 | − | 0.0222489i | ||||
\(967\) | 10.1489 | − | 4.88746i | 0.326367 | − | 0.157170i | −0.263524 | − | 0.964653i | \(-0.584885\pi\) |
0.589891 | + | 0.807483i | \(0.299171\pi\) | |||||||
\(968\) | −5.69577 | + | 2.74294i | −0.183069 | + | 0.0881613i | ||||
\(969\) | −3.14543 | − | 2.39460i | −0.101046 | − | 0.0769257i | ||||
\(970\) | −4.50227 | − | 5.64567i | −0.144559 | − | 0.181271i | ||||
\(971\) | −4.19176 | − | 8.70429i | −0.134520 | − | 0.279334i | 0.822818 | − | 0.568306i | \(-0.192401\pi\) |
−0.957338 | + | 0.288972i | \(0.906687\pi\) | |||||||
\(972\) | 8.94886 | + | 1.00524i | 0.287035 | + | 0.0322430i | ||||
\(973\) | −0.255087 | − | 0.0582220i | −0.00817772 | − | 0.00186651i | ||||
\(974\) | −8.16224 | − | 10.2351i | −0.261535 | − | 0.327954i | ||||
\(975\) | −6.13551 | + | 13.5102i | −0.196494 | + | 0.432672i | ||||
\(976\) | 9.08295 | − | 2.07312i | 0.290738 | − | 0.0663591i | ||||
\(977\) | 17.8909 | − | 37.1508i | 0.572380 | − | 1.18856i | −0.390992 | − | 0.920394i | \(-0.627868\pi\) |
0.963373 | − | 0.268166i | \(-0.0864176\pi\) | |||||||
\(978\) | −23.2521 | + | 30.5429i | −0.743521 | + | 0.976653i | ||||
\(979\) | −24.1531 | − | 5.51278i | −0.771935 | − | 0.176189i | ||||
\(980\) | 2.73455 | − | 3.42901i | 0.0873519 | − | 0.109536i | ||||
\(981\) | 10.6473 | + | 38.5594i | 0.339942 | + | 1.23111i | ||||
\(982\) | 10.0777 | 0.321591 | ||||||||
\(983\) | −50.6499 | −1.61548 | −0.807741 | − | 0.589538i | \(-0.799310\pi\) | ||||
−0.807741 | + | 0.589538i | \(0.799310\pi\) | |||||||
\(984\) | 9.37259 | + | 37.1855i | 0.298787 | + | 1.18543i | ||||
\(985\) | 13.9533 | − | 11.1274i | 0.444591 | − | 0.354549i | ||||
\(986\) | −16.0975 | − | 33.4268i | −0.512649 | − | 1.06453i | ||||
\(987\) | 1.42936 | − | 3.14739i | 0.0454969 | − | 0.100183i | ||||
\(988\) | 1.14492i | 0.0364249i | ||||||||
\(989\) | −1.14638 | − | 8.12033i | −0.0364526 | − | 0.258211i | ||||
\(990\) | −0.685006 | − | 15.2070i | −0.0217709 | − | 0.483312i | ||||
\(991\) | 25.2924 | − | 52.5202i | 0.803439 | − | 1.66836i | 0.0612929 | − | 0.998120i | \(-0.480478\pi\) |
0.742146 | − | 0.670238i | \(-0.233808\pi\) | |||||||
\(992\) | −12.1108 | + | 5.83228i | −0.384520 | + | 0.185175i | ||||
\(993\) | 8.62355 | + | 10.3279i | 0.273660 | + | 0.327747i | ||||
\(994\) | 4.38163 | − | 1.00008i | 0.138977 | − | 0.0317206i | ||||
\(995\) | 16.0517i | 0.508873i | ||||||||
\(996\) | −10.8301 | + | 0.243798i | −0.343164 | + | 0.00772503i | ||||
\(997\) | 5.81136 | − | 1.32641i | 0.184048 | − | 0.0420077i | −0.129504 | − | 0.991579i | \(-0.541338\pi\) |
0.313551 | + | 0.949571i | \(0.398481\pi\) | |||||||
\(998\) | −1.04190 | − | 0.830887i | −0.0329807 | − | 0.0263013i | ||||
\(999\) | 2.87056 | − | 18.1478i | 0.0908205 | − | 0.574170i |
(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 | 129.2.j.a.65.10 | yes | 72 | |
3.2 | odd | 2 | inner | 129.2.j.a.65.3 | yes | 72 | |
43.2 | odd | 14 | inner | 129.2.j.a.2.3 | ✓ | 72 | |
129.2 | even | 14 | inner | 129.2.j.a.2.10 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
129.2.j.a.2.3 | ✓ | 72 | 43.2 | odd | 14 | inner | |
129.2.j.a.2.10 | yes | 72 | 129.2 | even | 14 | inner | |
129.2.j.a.65.3 | yes | 72 | 3.2 | odd | 2 | inner | |
129.2.j.a.65.10 | yes | 72 | 1.1 | even | 1 | trivial |