Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(61,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([72, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bc (of order \(45\), degree \(24\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(600\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 61.7 | ||
Character | \(\chi\) | \(=\) | 950.61 |
Dual form | 950.2.bc.b.841.7 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.961262 | + | 0.275637i | −0.679715 | + | 0.194905i | ||||
\(3\) | −1.08231 | − | 0.152109i | −0.624874 | − | 0.0878203i | −0.180373 | − | 0.983598i | \(-0.557730\pi\) |
−0.444502 | + | 0.895778i | \(0.646619\pi\) | |||||||
\(4\) | 0.848048 | − | 0.529919i | 0.424024 | − | 0.264960i | ||||
\(5\) | 1.47691 | + | 1.67891i | 0.660495 | + | 0.750830i | ||||
\(6\) | 1.08231 | − | 0.152109i | 0.441853 | − | 0.0620984i | ||||
\(7\) | 0.0170328 | − | 0.0295017i | 0.00643779 | − | 0.0111506i | −0.862789 | − | 0.505565i | \(-0.831284\pi\) |
0.869226 | + | 0.494414i | \(0.164617\pi\) | |||||||
\(8\) | −0.669131 | + | 0.743145i | −0.236573 | + | 0.262741i | ||||
\(9\) | −1.73552 | − | 0.497652i | −0.578506 | − | 0.165884i | ||||
\(10\) | −1.88247 | − | 1.20678i | −0.595289 | − | 0.381616i | ||||
\(11\) | 0.561018 | + | 0.249782i | 0.169153 | + | 0.0753120i | 0.489567 | − | 0.871966i | \(-0.337155\pi\) |
−0.320413 | + | 0.947278i | \(0.603822\pi\) | |||||||
\(12\) | −0.998460 | + | 0.444543i | −0.288231 | + | 0.128329i | ||||
\(13\) | 1.94411 | − | 1.87741i | 0.539200 | − | 0.520699i | −0.374425 | − | 0.927257i | \(-0.622160\pi\) |
0.913625 | + | 0.406558i | \(0.133271\pi\) | |||||||
\(14\) | −0.00824121 | + | 0.0330537i | −0.00220256 | + | 0.00883397i | ||||
\(15\) | −1.34311 | − | 2.04176i | −0.346788 | − | 0.527179i | ||||
\(16\) | 0.438371 | − | 0.898794i | 0.109593 | − | 0.224699i | ||||
\(17\) | 0.263106 | − | 7.53437i | 0.0638126 | − | 1.82735i | −0.373034 | − | 0.927818i | \(-0.621682\pi\) |
0.436846 | − | 0.899536i | \(-0.356095\pi\) | |||||||
\(18\) | 1.80546 | 0.425551 | ||||||||
\(19\) | 4.35100 | + | 0.262297i | 0.998188 | + | 0.0601749i | ||||
\(20\) | 2.14218 | + | 0.641150i | 0.479006 | + | 0.143365i | ||||
\(21\) | −0.0229223 | + | 0.0293392i | −0.00500206 | + | 0.00640234i | ||||
\(22\) | −0.608135 | − | 0.0854678i | −0.129655 | − | 0.0182218i | ||||
\(23\) | −2.86665 | − | 0.200455i | −0.597737 | − | 0.0417979i | −0.232316 | − | 0.972640i | \(-0.574630\pi\) |
−0.365421 | + | 0.930842i | \(0.619075\pi\) | |||||||
\(24\) | 0.837249 | − | 0.702535i | 0.170903 | − | 0.143404i | ||||
\(25\) | −0.637458 | + | 4.95920i | −0.127492 | + | 0.991840i | ||||
\(26\) | −1.35132 | + | 2.34055i | −0.265015 | + | 0.459020i | ||||
\(27\) | 4.79806 | + | 2.13623i | 0.923387 | + | 0.411118i | ||||
\(28\) | −0.00118887 | − | 0.0340448i | −0.000224676 | − | 0.00643387i | ||||
\(29\) | 0.162368 | + | 4.64962i | 0.0301510 | + | 0.863413i | 0.916414 | + | 0.400231i | \(0.131070\pi\) |
−0.886263 | + | 0.463182i | \(0.846708\pi\) | |||||||
\(30\) | 1.85386 | + | 1.59245i | 0.338467 | + | 0.290741i | ||||
\(31\) | 1.03765 | + | 0.220560i | 0.186368 | + | 0.0396137i | 0.300150 | − | 0.953892i | \(-0.402963\pi\) |
−0.113782 | + | 0.993506i | \(0.536297\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | −0.569204 | − | 0.355678i | −0.0990857 | − | 0.0619156i | ||||
\(34\) | 1.82384 | + | 7.31503i | 0.312786 | + | 1.25452i | ||||
\(35\) | 0.0746865 | − | 0.0149749i | 0.0126243 | − | 0.00253122i | ||||
\(36\) | −1.73552 | + | 0.497652i | −0.289253 | + | 0.0829420i | ||||
\(37\) | −0.233834 | − | 0.169890i | −0.0384421 | − | 0.0279298i | 0.568398 | − | 0.822754i | \(-0.307563\pi\) |
−0.606840 | + | 0.794824i | \(0.707563\pi\) | |||||||
\(38\) | −4.25475 | + | 0.947163i | −0.690211 | + | 0.153650i | ||||
\(39\) | −2.38971 | + | 1.73623i | −0.382660 | + | 0.278019i | ||||
\(40\) | −2.23592 | − | 0.0258482i | −0.353530 | − | 0.00408696i | ||||
\(41\) | 4.70526 | − | 9.64721i | 0.734838 | − | 1.50664i | −0.122825 | − | 0.992428i | \(-0.539196\pi\) |
0.857663 | − | 0.514212i | \(-0.171916\pi\) | |||||||
\(42\) | 0.0139474 | − | 0.0345209i | 0.00215212 | − | 0.00532669i | ||||
\(43\) | −3.76167 | + | 3.15642i | −0.573650 | + | 0.481349i | −0.882855 | − | 0.469646i | \(-0.844382\pi\) |
0.309205 | + | 0.950995i | \(0.399937\pi\) | |||||||
\(44\) | 0.608135 | − | 0.0854678i | 0.0916798 | − | 0.0128847i | ||||
\(45\) | −1.72770 | − | 3.64876i | −0.257550 | − | 0.543926i | ||||
\(46\) | 2.81085 | − | 0.597465i | 0.414437 | − | 0.0880914i | ||||
\(47\) | −0.471235 | − | 13.4944i | −0.0687367 | − | 1.96836i | −0.208062 | − | 0.978116i | \(-0.566716\pi\) |
0.139325 | − | 0.990247i | \(-0.455507\pi\) | |||||||
\(48\) | −0.611170 | + | 0.906097i | −0.0882148 | + | 0.130784i | ||||
\(49\) | 3.49942 | + | 6.06117i | 0.499917 | + | 0.865882i | ||||
\(50\) | −0.754176 | − | 4.94279i | −0.106657 | − | 0.699017i | ||||
\(51\) | −1.43081 | + | 8.11454i | −0.200354 | + | 1.13626i | ||||
\(52\) | 0.653826 | − | 2.62235i | 0.0906694 | − | 0.363655i | ||||
\(53\) | 6.70668 | − | 4.19080i | 0.921234 | − | 0.575651i | 0.0156775 | − | 0.999877i | \(-0.495009\pi\) |
0.905556 | + | 0.424226i | \(0.139454\pi\) | |||||||
\(54\) | −5.20102 | − | 0.730955i | −0.707769 | − | 0.0994704i | ||||
\(55\) | 0.409215 | + | 1.31080i | 0.0551786 | + | 0.176749i | ||||
\(56\) | 0.0105268 | + | 0.0323983i | 0.00140671 | + | 0.00432940i | ||||
\(57\) | −4.66925 | − | 0.945715i | −0.618457 | − | 0.125263i | ||||
\(58\) | −1.43769 | − | 4.42475i | −0.188778 | − | 0.580998i | ||||
\(59\) | 0.694153 | + | 1.02912i | 0.0903710 | + | 0.133980i | 0.871512 | − | 0.490374i | \(-0.163140\pi\) |
−0.781141 | + | 0.624355i | \(0.785362\pi\) | |||||||
\(60\) | −2.22098 | − | 1.01977i | −0.286728 | − | 0.131652i | ||||
\(61\) | 8.88849 | + | 0.621544i | 1.13805 | + | 0.0795805i | 0.626322 | − | 0.779564i | \(-0.284560\pi\) |
0.511732 | + | 0.859145i | \(0.329004\pi\) | |||||||
\(62\) | −1.05825 | + | 0.0740001i | −0.134398 | + | 0.00939802i | ||||
\(63\) | −0.0442423 | + | 0.0427243i | −0.00557401 | + | 0.00538275i | ||||
\(64\) | −0.104528 | − | 0.994522i | −0.0130661 | − | 0.124315i | ||||
\(65\) | 6.02328 | + | 0.491217i | 0.747095 | + | 0.0609280i | ||||
\(66\) | 0.645192 | + | 0.185006i | 0.0794177 | + | 0.0227726i | ||||
\(67\) | 7.50382 | + | 9.60445i | 0.916737 | + | 1.17337i | 0.984450 | + | 0.175665i | \(0.0562077\pi\) |
−0.0677126 | + | 0.997705i | \(0.521570\pi\) | |||||||
\(68\) | −3.76948 | − | 6.52894i | −0.457117 | − | 0.791750i | ||||
\(69\) | 3.07212 | + | 0.652999i | 0.369840 | + | 0.0786119i | ||||
\(70\) | −0.0676656 | + | 0.0349812i | −0.00808759 | + | 0.00418105i | ||||
\(71\) | 5.28050 | + | 13.0697i | 0.626680 | + | 1.55109i | 0.821475 | + | 0.570244i | \(0.193151\pi\) |
−0.194795 | + | 0.980844i | \(0.562404\pi\) | |||||||
\(72\) | 1.53112 | − | 0.956748i | 0.180444 | − | 0.112754i | ||||
\(73\) | −5.63364 | − | 5.44034i | −0.659367 | − | 0.636743i | 0.287722 | − | 0.957714i | \(-0.407102\pi\) |
−0.947089 | + | 0.320970i | \(0.895991\pi\) | |||||||
\(74\) | 0.271604 | + | 0.0988557i | 0.0315733 | + | 0.0114917i | ||||
\(75\) | 1.44427 | − | 5.27045i | 0.166770 | − | 0.608579i | ||||
\(76\) | 3.82885 | − | 2.08324i | 0.439200 | − | 0.238964i | ||||
\(77\) | 0.0169247 | − | 0.0122965i | 0.00192875 | − | 0.00140132i | ||||
\(78\) | 1.81857 | − | 2.32766i | 0.205912 | − | 0.263556i | ||||
\(79\) | 0.279784 | + | 0.0393210i | 0.0314781 | + | 0.00442396i | 0.154895 | − | 0.987931i | \(-0.450496\pi\) |
−0.123416 | + | 0.992355i | \(0.539385\pi\) | |||||||
\(80\) | 2.15643 | − | 0.591456i | 0.241096 | − | 0.0661268i | ||||
\(81\) | −0.274715 | − | 0.171661i | −0.0305239 | − | 0.0190734i | ||||
\(82\) | −1.86385 | + | 10.5704i | −0.205828 | + | 1.16731i | ||||
\(83\) | 12.3077 | + | 2.61609i | 1.35095 | + | 0.287153i | 0.825851 | − | 0.563888i | \(-0.190695\pi\) |
0.525098 | + | 0.851042i | \(0.324029\pi\) | |||||||
\(84\) | −0.00389180 | + | 0.0370280i | −0.000424631 | + | 0.00404009i | ||||
\(85\) | 13.0381 | − | 10.6859i | 1.41418 | − | 1.15905i | ||||
\(86\) | 2.74593 | − | 4.07100i | 0.296101 | − | 0.438988i | ||||
\(87\) | 0.531517 | − | 5.05705i | 0.0569846 | − | 0.542172i | ||||
\(88\) | −0.561018 | + | 0.249782i | −0.0598048 | + | 0.0266268i | ||||
\(89\) | 3.02307 | + | 6.19821i | 0.320445 | + | 0.657009i | 0.996832 | − | 0.0795373i | \(-0.0253443\pi\) |
−0.676387 | + | 0.736546i | \(0.736455\pi\) | |||||||
\(90\) | 2.66651 | + | 3.03120i | 0.281074 | + | 0.319516i | ||||
\(91\) | −0.0222730 | − | 0.0893320i | −0.00233484 | − | 0.00936454i | ||||
\(92\) | −2.53728 | + | 1.34910i | −0.264530 | + | 0.140653i | ||||
\(93\) | −1.08952 | − | 0.396552i | −0.112978 | − | 0.0411205i | ||||
\(94\) | 4.17254 | + | 12.8418i | 0.430365 | + | 1.32453i | ||||
\(95\) | 5.98568 | + | 7.69231i | 0.614117 | + | 0.789215i | ||||
\(96\) | 0.337740 | − | 1.03946i | 0.0344705 | − | 0.106089i | ||||
\(97\) | 10.7650 | − | 13.7786i | 1.09302 | − | 1.39900i | 0.183663 | − | 0.982989i | \(-0.441205\pi\) |
0.909358 | − | 0.416014i | \(-0.136573\pi\) | |||||||
\(98\) | −5.03454 | − | 4.86180i | −0.508566 | − | 0.491116i | ||||
\(99\) | −0.849354 | − | 0.712693i | −0.0853633 | − | 0.0716283i | ||||
\(100\) | 2.08738 | + | 4.54344i | 0.208738 | + | 0.454344i | ||||
\(101\) | 1.61155 | − | 9.13955i | 0.160355 | − | 0.909420i | −0.793370 | − | 0.608740i | \(-0.791675\pi\) |
0.953725 | − | 0.300680i | \(-0.0972135\pi\) | |||||||
\(102\) | −0.861285 | − | 8.19458i | −0.0852799 | − | 0.811384i | ||||
\(103\) | −3.14076 | + | 0.667589i | −0.309468 | + | 0.0657795i | −0.360028 | − | 0.932942i | \(-0.617233\pi\) |
0.0505596 | + | 0.998721i | \(0.483900\pi\) | |||||||
\(104\) | 0.0943206 | + | 2.70099i | 0.00924889 | + | 0.264854i | ||||
\(105\) | −0.0831121 | + | 0.00484703i | −0.00811091 | + | 0.000473022i | ||||
\(106\) | −5.29174 | + | 5.87707i | −0.513979 | + | 0.570831i | ||||
\(107\) | −2.88624 | + | 4.99912i | −0.279024 | + | 0.483283i | −0.971142 | − | 0.238501i | \(-0.923344\pi\) |
0.692119 | + | 0.721784i | \(0.256677\pi\) | |||||||
\(108\) | 5.20102 | − | 0.730955i | 0.500468 | − | 0.0703362i | ||||
\(109\) | 18.1363 | − | 1.26821i | 1.73714 | − | 0.121473i | 0.834264 | − | 0.551365i | \(-0.185893\pi\) |
0.902880 | + | 0.429892i | \(0.141448\pi\) | |||||||
\(110\) | −0.754669 | − | 1.14723i | −0.0719549 | − | 0.109384i | ||||
\(111\) | 0.227240 | + | 0.219443i | 0.0215687 | + | 0.0208286i | ||||
\(112\) | −0.0190492 | − | 0.0282416i | −0.00179998 | − | 0.00266859i | ||||
\(113\) | −9.25945 | − | 6.72739i | −0.871056 | − | 0.632859i | 0.0598139 | − | 0.998210i | \(-0.480949\pi\) |
−0.930870 | + | 0.365350i | \(0.880949\pi\) | |||||||
\(114\) | 4.74905 | − | 0.377940i | 0.444789 | − | 0.0353974i | ||||
\(115\) | −3.89724 | − | 5.10889i | −0.363420 | − | 0.476406i | ||||
\(116\) | 2.60162 | + | 3.85706i | 0.241554 | + | 0.358119i | ||||
\(117\) | −4.30834 | + | 2.29078i | −0.398306 | + | 0.211783i | ||||
\(118\) | −0.950927 | − | 0.797923i | −0.0875399 | − | 0.0734547i | ||||
\(119\) | −0.217795 | − | 0.136093i | −0.0199652 | − | 0.0124757i | ||||
\(120\) | 2.41603 | + | 0.368080i | 0.220553 | + | 0.0336009i | ||||
\(121\) | −7.10809 | − | 7.89433i | −0.646190 | − | 0.717666i | ||||
\(122\) | −8.71548 | + | 1.85253i | −0.789063 | + | 0.167720i | ||||
\(123\) | −6.55999 | + | 9.72559i | −0.591495 | + | 0.876927i | ||||
\(124\) | 0.996859 | − | 0.362827i | 0.0895205 | − | 0.0325828i | ||||
\(125\) | −9.26750 | + | 6.25407i | −0.828911 | + | 0.559381i | ||||
\(126\) | 0.0307520 | − | 0.0532641i | 0.00273961 | − | 0.00474514i | ||||
\(127\) | 2.96920 | + | 6.08775i | 0.263474 | + | 0.540201i | 0.988986 | − | 0.148008i | \(-0.0472862\pi\) |
−0.725513 | + | 0.688209i | \(0.758397\pi\) | |||||||
\(128\) | 0.374607 | + | 0.927184i | 0.0331109 | + | 0.0819522i | ||||
\(129\) | 4.55143 | − | 2.84405i | 0.400731 | − | 0.250405i | ||||
\(130\) | −5.92534 | + | 1.18805i | −0.519687 | + | 0.104199i | ||||
\(131\) | 0.362557 | − | 10.3823i | 0.0316767 | − | 0.907103i | −0.874708 | − | 0.484650i | \(-0.838947\pi\) |
0.906385 | − | 0.422453i | \(-0.138831\pi\) | |||||||
\(132\) | −0.671193 | −0.0584199 | ||||||||
\(133\) | 0.0818479 | − | 0.123894i | 0.00709711 | − | 0.0107430i | ||||
\(134\) | −9.86048 | − | 7.16406i | −0.851816 | − | 0.618880i | ||||
\(135\) | 3.49978 | + | 11.2105i | 0.301213 | + | 0.964848i | ||||
\(136\) | 5.42308 | + | 5.23701i | 0.465025 | + | 0.449070i | ||||
\(137\) | −4.22621 | − | 16.9504i | −0.361069 | − | 1.44817i | −0.826426 | − | 0.563046i | \(-0.809629\pi\) |
0.465356 | − | 0.885123i | \(-0.345926\pi\) | |||||||
\(138\) | −3.13310 | + | 0.219088i | −0.266707 | + | 0.0186500i | ||||
\(139\) | −1.92540 | − | 3.94766i | −0.163310 | − | 0.334836i | 0.801409 | − | 0.598117i | \(-0.204084\pi\) |
−0.964719 | + | 0.263281i | \(0.915195\pi\) | |||||||
\(140\) | 0.0554023 | − | 0.0522772i | 0.00468235 | − | 0.00441823i | ||||
\(141\) | −1.54260 | + | 14.6769i | −0.129910 | + | 1.23602i | ||||
\(142\) | −8.67844 | − | 11.1079i | −0.728279 | − | 0.932154i | ||||
\(143\) | 1.55962 | − | 0.567657i | 0.130422 | − | 0.0474699i | ||||
\(144\) | −1.20809 | + | 1.34172i | −0.100674 | + | 0.111810i | ||||
\(145\) | −7.56648 | + | 7.13968i | −0.628362 | + | 0.592918i | ||||
\(146\) | 6.91496 | + | 3.67675i | 0.572286 | + | 0.304290i | ||||
\(147\) | −2.86551 | − | 7.09239i | −0.236343 | − | 0.584970i | ||||
\(148\) | −0.288331 | − | 0.0201620i | −0.0237006 | − | 0.00165731i | ||||
\(149\) | −1.15288 | − | 6.53832i | −0.0944478 | − | 0.535640i | −0.994915 | − | 0.100716i | \(-0.967887\pi\) |
0.900467 | − | 0.434923i | \(-0.143225\pi\) | |||||||
\(150\) | 0.0644100 | + | 5.46437i | 0.00525905 | + | 0.446164i | ||||
\(151\) | 19.8132 | 1.61238 | 0.806188 | − | 0.591659i | \(-0.201527\pi\) | ||||
0.806188 | + | 0.591659i | \(0.201527\pi\) | |||||||
\(152\) | −3.10631 | + | 3.05791i | −0.251955 | + | 0.248029i | ||||
\(153\) | −4.20612 | + | 12.9451i | −0.340045 | + | 1.04655i | ||||
\(154\) | −0.0128797 | + | 0.0164852i | −0.00103787 | + | 0.00132842i | ||||
\(155\) | 1.16222 | + | 2.06787i | 0.0933520 | + | 0.166095i | ||||
\(156\) | −1.10653 | + | 2.73876i | −0.0885933 | + | 0.219276i | ||||
\(157\) | 3.45073 | − | 2.89550i | 0.275398 | − | 0.231086i | −0.494619 | − | 0.869110i | \(-0.664692\pi\) |
0.770017 | + | 0.638024i | \(0.220248\pi\) | |||||||
\(158\) | −0.279784 | + | 0.0393210i | −0.0222584 | + | 0.00312821i | ||||
\(159\) | −7.89620 | + | 3.51561i | −0.626209 | + | 0.278806i | ||||
\(160\) | −1.90986 | + | 1.16294i | −0.150988 | + | 0.0919381i | ||||
\(161\) | −0.0547408 | + | 0.0811565i | −0.00431418 | + | 0.00639603i | ||||
\(162\) | 0.311389 | + | 0.0892893i | 0.0244650 | + | 0.00701523i | ||||
\(163\) | −2.36437 | + | 22.4955i | −0.185192 | + | 1.76199i | 0.368843 | + | 0.929492i | \(0.379754\pi\) |
−0.554035 | + | 0.832494i | \(0.686913\pi\) | |||||||
\(164\) | −1.12196 | − | 10.6747i | −0.0876101 | − | 0.833554i | ||||
\(165\) | −0.243514 | − | 1.48095i | −0.0189575 | − | 0.115292i | ||||
\(166\) | −12.5520 | + | 0.877724i | −0.974228 | + | 0.0681246i | ||||
\(167\) | 2.88549 | − | 7.14185i | 0.223286 | − | 0.552653i | −0.773407 | − | 0.633910i | \(-0.781449\pi\) |
0.996693 | + | 0.0812570i | \(0.0258935\pi\) | |||||||
\(168\) | −0.00646527 | − | 0.0366664i | −0.000498806 | − | 0.00282887i | ||||
\(169\) | −0.198780 | + | 5.69230i | −0.0152907 | + | 0.437869i | ||||
\(170\) | −9.58760 | + | 13.8657i | −0.735335 | + | 1.06345i | ||||
\(171\) | −7.42071 | − | 2.62050i | −0.567476 | − | 0.200395i | ||||
\(172\) | −1.51743 | + | 4.67018i | −0.115703 | + | 0.356098i | ||||
\(173\) | −22.5919 | + | 6.47812i | −1.71763 | + | 0.492522i | −0.982635 | − | 0.185550i | \(-0.940593\pi\) |
−0.734995 | + | 0.678073i | \(0.762816\pi\) | |||||||
\(174\) | 0.882984 | + | 5.00765i | 0.0669388 | + | 0.379629i | ||||
\(175\) | 0.135447 | + | 0.103275i | 0.0102388 | + | 0.00780686i | ||||
\(176\) | 0.470436 | − | 0.394743i | 0.0354605 | − | 0.0297549i | ||||
\(177\) | −0.594752 | − | 1.21942i | −0.0447043 | − | 0.0916573i | ||||
\(178\) | −4.61442 | − | 5.12483i | −0.345865 | − | 0.384122i | ||||
\(179\) | −20.3351 | + | 4.32235i | −1.51991 | + | 0.323068i | −0.890854 | − | 0.454290i | \(-0.849893\pi\) |
−0.629059 | + | 0.777357i | \(0.716560\pi\) | |||||||
\(180\) | −3.39872 | − | 2.17879i | −0.253326 | − | 0.162397i | ||||
\(181\) | 5.36018 | + | 6.86071i | 0.398419 | + | 0.509953i | 0.944829 | − | 0.327565i | \(-0.106228\pi\) |
−0.546410 | + | 0.837518i | \(0.684006\pi\) | |||||||
\(182\) | 0.0460334 | + | 0.0797322i | 0.00341222 | + | 0.00591014i | ||||
\(183\) | −9.52559 | − | 2.02473i | −0.704152 | − | 0.149672i | ||||
\(184\) | 2.06713 | − | 1.99620i | 0.152391 | − | 0.147162i | ||||
\(185\) | −0.0601222 | − | 0.643499i | −0.00442028 | − | 0.0473110i | ||||
\(186\) | 1.15662 | + | 0.0808784i | 0.0848072 | + | 0.00593029i | ||||
\(187\) | 2.02955 | − | 4.16120i | 0.148416 | − | 0.304297i | ||||
\(188\) | −7.55058 | − | 11.1942i | −0.550683 | − | 0.816420i | ||||
\(189\) | 0.144747 | − | 0.105165i | 0.0105288 | − | 0.00764960i | ||||
\(190\) | −7.87409 | − | 5.74445i | −0.571246 | − | 0.416746i | ||||
\(191\) | −6.24706 | − | 4.53876i | −0.452022 | − | 0.328413i | 0.338372 | − | 0.941012i | \(-0.390124\pi\) |
−0.790393 | + | 0.612600i | \(0.790124\pi\) | |||||||
\(192\) | −0.0381434 | + | 1.09228i | −0.00275276 | + | 0.0788288i | ||||
\(193\) | −2.21703 | − | 12.5734i | −0.159585 | − | 0.905054i | −0.954473 | − | 0.298297i | \(-0.903581\pi\) |
0.794888 | − | 0.606757i | \(-0.207530\pi\) | |||||||
\(194\) | −6.55010 | + | 16.2121i | −0.470270 | + | 1.16396i | ||||
\(195\) | −6.44436 | − | 1.44785i | −0.461490 | − | 0.103683i | ||||
\(196\) | 6.17961 | + | 3.28576i | 0.441401 | + | 0.234697i | ||||
\(197\) | 1.24065 | + | 1.37788i | 0.0883925 | + | 0.0981698i | 0.785718 | − | 0.618585i | \(-0.212294\pi\) |
−0.697326 | + | 0.716754i | \(0.745627\pi\) | |||||||
\(198\) | 1.01290 | + | 0.450970i | 0.0719834 | + | 0.0320491i | ||||
\(199\) | −17.9510 | + | 6.53362i | −1.27251 | + | 0.463156i | −0.887949 | − | 0.459942i | \(-0.847870\pi\) |
−0.384563 | + | 0.923099i | \(0.625648\pi\) | |||||||
\(200\) | −3.25886 | − | 3.79208i | −0.230436 | − | 0.268140i | ||||
\(201\) | −6.66056 | − | 11.5364i | −0.469800 | − | 0.813717i | ||||
\(202\) | 0.970081 | + | 9.22971i | 0.0682547 | + | 0.649400i | ||||
\(203\) | 0.139937 | + | 0.0744059i | 0.00982166 | + | 0.00522227i | ||||
\(204\) | 3.08665 | + | 7.63973i | 0.216109 | + | 0.534888i | ||||
\(205\) | 23.1460 | − | 6.34839i | 1.61659 | − | 0.443391i | ||||
\(206\) | 2.83508 | − | 1.50744i | 0.197529 | − | 0.105028i | ||||
\(207\) | 4.87536 | + | 1.77449i | 0.338861 | + | 0.123335i | ||||
\(208\) | −0.835160 | − | 2.57036i | −0.0579079 | − | 0.178222i | ||||
\(209\) | 2.37547 | + | 1.23395i | 0.164315 | + | 0.0853543i | ||||
\(210\) | 0.0785564 | − | 0.0275681i | 0.00542091 | − | 0.00190238i | ||||
\(211\) | −12.1487 | + | 3.48360i | −0.836354 | + | 0.239821i | −0.666366 | − | 0.745625i | \(-0.732151\pi\) |
−0.169989 | + | 0.985446i | \(0.554373\pi\) | |||||||
\(212\) | 3.46680 | − | 7.10800i | 0.238101 | − | 0.488179i | ||||
\(213\) | −3.72714 | − | 14.9487i | −0.255379 | − | 1.02427i | ||||
\(214\) | 1.39649 | − | 5.60102i | 0.0954621 | − | 0.382878i | ||||
\(215\) | −10.8550 | − | 1.65375i | −0.740305 | − | 0.112785i | ||||
\(216\) | −4.79806 | + | 2.13623i | −0.326467 | + | 0.145352i | ||||
\(217\) | 0.0241810 | − | 0.0268557i | 0.00164151 | − | 0.00182309i | ||||
\(218\) | −17.0842 | + | 6.21813i | −1.15709 | + | 0.421145i | ||||
\(219\) | 5.26984 | + | 6.74508i | 0.356102 | + | 0.455790i | ||||
\(220\) | 1.04165 | + | 0.894773i | 0.0702283 | + | 0.0603256i | ||||
\(221\) | −13.6336 | − | 15.1416i | −0.917094 | − | 1.01854i | ||||
\(222\) | −0.278924 | − | 0.148306i | −0.0187201 | − | 0.00995367i | ||||
\(223\) | −4.02452 | + | 16.1415i | −0.269502 | + | 1.08091i | 0.671090 | + | 0.741376i | \(0.265826\pi\) |
−0.940592 | + | 0.339538i | \(0.889729\pi\) | |||||||
\(224\) | 0.0260958 | + | 0.0218969i | 0.00174360 | + | 0.00146305i | ||||
\(225\) | 3.57428 | − | 8.28955i | 0.238285 | − | 0.552637i | ||||
\(226\) | 10.7551 | + | 3.91453i | 0.715417 | + | 0.260391i | ||||
\(227\) | −8.61621 | + | 6.26004i | −0.571878 | + | 0.415494i | −0.835787 | − | 0.549054i | \(-0.814988\pi\) |
0.263909 | + | 0.964548i | \(0.414988\pi\) | |||||||
\(228\) | −4.46090 | + | 1.67231i | −0.295430 | + | 0.110752i | ||||
\(229\) | −3.52269 | + | 10.8417i | −0.232786 | + | 0.716441i | 0.764622 | + | 0.644479i | \(0.222926\pi\) |
−0.997407 | + | 0.0719613i | \(0.977074\pi\) | |||||||
\(230\) | 5.15447 | + | 3.83675i | 0.339876 | + | 0.252988i | ||||
\(231\) | −0.0201882 | + | 0.0107343i | −0.00132829 | + | 0.000706263i | ||||
\(232\) | −3.56399 | − | 2.99054i | −0.233987 | − | 0.196339i | ||||
\(233\) | 13.4412 | + | 8.39900i | 0.880563 | + | 0.550237i | 0.893188 | − | 0.449684i | \(-0.148463\pi\) |
−0.0126250 | + | 0.999920i | \(0.504019\pi\) | |||||||
\(234\) | 3.51002 | − | 3.38958i | 0.229457 | − | 0.221584i | ||||
\(235\) | 21.9599 | − | 20.7212i | 1.43251 | − | 1.35170i | ||||
\(236\) | 1.13403 | + | 0.504901i | 0.0738189 | + | 0.0328663i | ||||
\(237\) | −0.296833 | − | 0.0851154i | −0.0192813 | − | 0.00552884i | ||||
\(238\) | 0.246871 | + | 0.0707890i | 0.0160022 | + | 0.00458857i | ||||
\(239\) | −13.3031 | − | 5.92291i | −0.860504 | − | 0.383121i | −0.0714494 | − | 0.997444i | \(-0.522762\pi\) |
−0.789054 | + | 0.614323i | \(0.789429\pi\) | |||||||
\(240\) | −2.42390 | + | 0.312128i | −0.156462 | + | 0.0201478i | ||||
\(241\) | 16.1243 | − | 15.5711i | 1.03866 | − | 1.00302i | 0.0386659 | − | 0.999252i | \(-0.487689\pi\) |
0.999993 | − | 0.00376894i | \(-0.00119969\pi\) | |||||||
\(242\) | 9.00870 | + | 5.62926i | 0.579101 | + | 0.361863i | ||||
\(243\) | −11.7989 | − | 9.90043i | −0.756898 | − | 0.635113i | ||||
\(244\) | 7.86723 | − | 4.18308i | 0.503648 | − | 0.267794i | ||||
\(245\) | −5.00781 | + | 14.8270i | −0.319937 | + | 0.947264i | ||||
\(246\) | 3.62513 | − | 11.1570i | 0.231130 | − | 0.711345i | ||||
\(247\) | 8.95127 | − | 7.65866i | 0.569556 | − | 0.487309i | ||||
\(248\) | −0.858233 | + | 0.623543i | −0.0544979 | + | 0.0395950i | ||||
\(249\) | −12.9229 | − | 4.70355i | −0.818955 | − | 0.298075i | ||||
\(250\) | 7.18464 | − | 8.56627i | 0.454397 | − | 0.541778i | ||||
\(251\) | −2.19578 | − | 1.84248i | −0.138597 | − | 0.116296i | 0.570854 | − | 0.821052i | \(-0.306612\pi\) |
−0.709450 | + | 0.704755i | \(0.751057\pi\) | |||||||
\(252\) | −0.0148792 | + | 0.0596771i | −0.000937300 | + | 0.00375930i | ||||
\(253\) | −1.55817 | − | 0.828495i | −0.0979614 | − | 0.0520870i | ||||
\(254\) | −4.53219 | − | 5.03350i | −0.284375 | − | 0.315830i | ||||
\(255\) | −15.7367 | + | 9.58226i | −0.985473 | + | 0.600064i | ||||
\(256\) | −0.615661 | − | 0.788011i | −0.0384788 | − | 0.0492507i | ||||
\(257\) | 14.7245 | − | 5.35928i | 0.918490 | − | 0.334303i | 0.160852 | − | 0.986978i | \(-0.448576\pi\) |
0.757638 | + | 0.652676i | \(0.226354\pi\) | |||||||
\(258\) | −3.59119 | + | 3.98842i | −0.223578 | + | 0.248308i | ||||
\(259\) | −0.00899489 | + | 0.00400478i | −0.000558915 | + | 0.000248845i | ||||
\(260\) | 5.36833 | − | 2.77527i | 0.332930 | − | 0.172115i | ||||
\(261\) | 2.03210 | − | 8.15031i | 0.125784 | − | 0.504491i | ||||
\(262\) | 2.51323 | + | 10.0800i | 0.155268 | + | 0.622745i | ||||
\(263\) | −12.1120 | + | 24.8333i | −0.746859 | + | 1.53129i | 0.0973349 | + | 0.995252i | \(0.468968\pi\) |
−0.844194 | + | 0.536037i | \(0.819921\pi\) | |||||||
\(264\) | 0.645192 | − | 0.185006i | 0.0397088 | − | 0.0113863i | ||||
\(265\) | 16.9411 | + | 5.07045i | 1.04069 | + | 0.311475i | ||||
\(266\) | −0.0445274 | + | 0.141655i | −0.00273015 | + | 0.00868542i | ||||
\(267\) | −2.32910 | − | 7.16824i | −0.142539 | − | 0.438689i | ||||
\(268\) | 11.4532 | + | 4.16862i | 0.699614 | + | 0.254639i | ||||
\(269\) | −3.86070 | + | 2.05277i | −0.235391 | + | 0.125160i | −0.582977 | − | 0.812488i | \(-0.698112\pi\) |
0.347586 | + | 0.937648i | \(0.387001\pi\) | |||||||
\(270\) | −6.45424 | − | 9.81158i | −0.392793 | − | 0.597114i | ||||
\(271\) | −7.73723 | − | 19.1503i | −0.470004 | − | 1.16330i | −0.957050 | − | 0.289923i | \(-0.906370\pi\) |
0.487046 | − | 0.873376i | \(-0.338074\pi\) | |||||||
\(272\) | −6.65651 | − | 3.53933i | −0.403610 | − | 0.214603i | ||||
\(273\) | 0.0105181 | + | 0.100073i | 0.000636586 | + | 0.00605671i | ||||
\(274\) | 8.73465 | + | 15.1289i | 0.527680 | + | 0.913968i | ||||
\(275\) | −1.59634 | + | 2.62298i | −0.0962630 | + | 0.158171i | ||||
\(276\) | 2.95134 | − | 1.07420i | 0.177650 | − | 0.0646593i | ||||
\(277\) | 13.0932 | + | 5.82948i | 0.786695 | + | 0.350259i | 0.760450 | − | 0.649396i | \(-0.224978\pi\) |
0.0262450 | + | 0.999656i | \(0.491645\pi\) | |||||||
\(278\) | 2.93894 | + | 3.26402i | 0.176266 | + | 0.195763i | ||||
\(279\) | −1.69110 | − | 0.899176i | −0.101244 | − | 0.0538323i | ||||
\(280\) | −0.0388465 | + | 0.0655230i | −0.00232152 | + | 0.00391575i | ||||
\(281\) | −7.59550 | + | 18.7995i | −0.453109 | + | 1.12149i | 0.511847 | + | 0.859076i | \(0.328961\pi\) |
−0.964957 | + | 0.262409i | \(0.915483\pi\) | |||||||
\(282\) | −2.56265 | − | 14.5335i | −0.152604 | − | 0.865458i | ||||
\(283\) | 0.679889 | − | 19.4695i | 0.0404152 | − | 1.15734i | −0.794607 | − | 0.607124i | \(-0.792323\pi\) |
0.835023 | − | 0.550216i | \(-0.185455\pi\) | |||||||
\(284\) | 11.4040 | + | 8.28550i | 0.676703 | + | 0.491654i | ||||
\(285\) | −5.30831 | − | 9.23597i | −0.314437 | − | 0.547092i | ||||
\(286\) | −1.34274 | + | 0.975558i | −0.0793979 | + | 0.0576859i | ||||
\(287\) | −0.204465 | − | 0.303132i | −0.0120692 | − | 0.0178933i | ||||
\(288\) | 0.791461 | − | 1.62274i | 0.0466373 | − | 0.0956206i | ||||
\(289\) | −39.7390 | − | 2.77882i | −2.33759 | − | 0.163460i | ||||
\(290\) | 5.30540 | − | 8.94871i | 0.311544 | − | 0.525486i | ||||
\(291\) | −13.7470 | + | 13.2753i | −0.805862 | + | 0.778212i | ||||
\(292\) | −7.66053 | − | 1.62830i | −0.448299 | − | 0.0952889i | ||||
\(293\) | 2.10296 | + | 3.64243i | 0.122856 | + | 0.212793i | 0.920893 | − | 0.389816i | \(-0.127461\pi\) |
−0.798037 | + | 0.602609i | \(0.794128\pi\) | |||||||
\(294\) | 4.70943 | + | 6.02780i | 0.274660 | + | 0.351548i | ||||
\(295\) | −0.702600 | + | 2.68534i | −0.0409070 | + | 0.156347i | ||||
\(296\) | 0.282719 | − | 0.0600937i | 0.0164327 | − | 0.00349287i | ||||
\(297\) | 2.15821 | + | 2.39693i | 0.125232 | + | 0.139084i | ||||
\(298\) | 2.91043 | + | 5.96726i | 0.168596 | + | 0.345674i | ||||
\(299\) | −5.94942 | + | 4.99216i | −0.344064 | + | 0.288704i | ||||
\(300\) | −1.56810 | − | 5.23494i | −0.0905343 | − | 0.302239i | ||||
\(301\) | 0.0290478 | + | 0.164738i | 0.00167429 | + | 0.00949536i | ||||
\(302\) | −19.0457 | + | 5.46126i | −1.09596 | + | 0.314260i | ||||
\(303\) | −3.13441 | + | 9.64673i | −0.180067 | + | 0.554190i | ||||
\(304\) | 2.14310 | − | 3.79567i | 0.122915 | − | 0.217697i | ||||
\(305\) | 12.0840 | + | 15.8409i | 0.691928 | + | 0.907048i | ||||
\(306\) | 0.475027 | − | 13.6030i | 0.0271555 | − | 0.777632i | ||||
\(307\) | −1.68445 | − | 9.55297i | −0.0961365 | − | 0.545217i | −0.994393 | − | 0.105746i | \(-0.966277\pi\) |
0.898257 | − | 0.439471i | \(-0.144834\pi\) | |||||||
\(308\) | 0.00783679 | − | 0.0193967i | 0.000446543 | − | 0.00110523i | ||||
\(309\) | 3.50083 | − | 0.244802i | 0.199156 | − | 0.0139263i | ||||
\(310\) | −1.68718 | − | 1.66741i | −0.0958256 | − | 0.0947027i | ||||
\(311\) | 3.19995 | + | 30.4455i | 0.181452 | + | 1.72640i | 0.584645 | + | 0.811289i | \(0.301234\pi\) |
−0.403192 | + | 0.915115i | \(0.632099\pi\) | |||||||
\(312\) | 0.308761 | − | 2.93766i | 0.0174801 | − | 0.166312i | ||||
\(313\) | 3.68645 | + | 1.05707i | 0.208371 | + | 0.0597493i | 0.378199 | − | 0.925724i | \(-0.376544\pi\) |
−0.169828 | + | 0.985474i | \(0.554321\pi\) | |||||||
\(314\) | −2.51894 | + | 3.73449i | −0.142152 | + | 0.210749i | ||||
\(315\) | −0.137072 | − | 0.0111787i | −0.00772314 | − | 0.000629847i | ||||
\(316\) | 0.258107 | − | 0.114917i | 0.0145196 | − | 0.00646456i | ||||
\(317\) | 2.78435 | − | 0.391315i | 0.156385 | − | 0.0219785i | −0.0605462 | − | 0.998165i | \(-0.519284\pi\) |
0.216931 | + | 0.976187i | \(0.430395\pi\) | |||||||
\(318\) | 6.62128 | − | 5.55591i | 0.371303 | − | 0.311560i | ||||
\(319\) | −1.07030 | + | 2.64908i | −0.0599252 | + | 0.148320i | ||||
\(320\) | 1.51533 | − | 1.64432i | 0.0847096 | − | 0.0919200i | ||||
\(321\) | 3.88423 | − | 4.97159i | 0.216797 | − | 0.277487i | ||||
\(322\) | 0.0302504 | − | 0.0931013i | 0.00168579 | − | 0.00518833i | ||||
\(323\) | 3.12101 | − | 32.7130i | 0.173658 | − | 1.82020i | ||||
\(324\) | −0.323938 | −0.0179965 | ||||||||
\(325\) | 8.07114 | + | 10.8380i | 0.447706 | + | 0.601184i | ||||
\(326\) | −3.92782 | − | 22.2758i | −0.217542 | − | 1.23374i | ||||
\(327\) | −19.8221 | − | 1.38610i | −1.09616 | − | 0.0766513i | ||||
\(328\) | 4.02084 | + | 9.95193i | 0.222014 | + | 0.549503i | ||||
\(329\) | −0.406134 | − | 0.215945i | −0.0223909 | − | 0.0119054i | ||||
\(330\) | 0.642285 | + | 1.35646i | 0.0353566 | + | 0.0746704i | ||||
\(331\) | 8.34118 | − | 9.26382i | 0.458473 | − | 0.509186i | −0.468938 | − | 0.883231i | \(-0.655363\pi\) |
0.927410 | + | 0.374046i | \(0.122030\pi\) | |||||||
\(332\) | 11.8239 | − | 4.30354i | 0.648919 | − | 0.236187i | ||||
\(333\) | 0.321277 | + | 0.411216i | 0.0176059 | + | 0.0225345i | ||||
\(334\) | −0.805155 | + | 7.66054i | −0.0440561 | + | 0.419166i | ||||
\(335\) | −5.04250 | + | 26.7831i | −0.275501 | + | 1.46332i | ||||
\(336\) | 0.0163214 | + | 0.0334639i | 0.000890407 | + | 0.00182561i | ||||
\(337\) | −7.46430 | + | 0.521955i | −0.406606 | + | 0.0284327i | −0.271596 | − | 0.962411i | \(-0.587551\pi\) |
−0.135011 | + | 0.990844i | \(0.543107\pi\) | |||||||
\(338\) | −1.37793 | − | 5.52658i | −0.0749496 | − | 0.300606i | ||||
\(339\) | 8.99834 | + | 8.68959i | 0.488723 | + | 0.471954i | ||||
\(340\) | 5.39428 | − | 15.9713i | 0.292546 | − | 0.866164i | ||||
\(341\) | 0.527051 | + | 0.382925i | 0.0285414 | + | 0.0207365i | ||||
\(342\) | 7.85555 | + | 0.473566i | 0.424780 | + | 0.0256075i | ||||
\(343\) | 0.476879 | 0.0257490 | ||||||||
\(344\) | 0.171375 | − | 4.90753i | 0.00923990 | − | 0.264596i | ||||
\(345\) | 3.44093 | + | 6.12223i | 0.185253 | + | 0.329610i | ||||
\(346\) | 19.9311 | − | 12.4543i | 1.07150 | − | 0.669549i | ||||
\(347\) | −9.31674 | − | 23.0597i | −0.500149 | − | 1.23791i | −0.940410 | − | 0.340042i | \(-0.889559\pi\) |
0.440261 | − | 0.897870i | \(-0.354886\pi\) | |||||||
\(348\) | −2.22907 | − | 4.57028i | −0.119491 | − | 0.244993i | ||||
\(349\) | −3.59831 | + | 6.23246i | −0.192613 | + | 0.333616i | −0.946115 | − | 0.323829i | \(-0.895030\pi\) |
0.753502 | + | 0.657445i | \(0.228363\pi\) | |||||||
\(350\) | −0.158666 | − | 0.0619402i | −0.00848107 | − | 0.00331084i | ||||
\(351\) | 13.3385 | − | 4.85483i | 0.711959 | − | 0.259132i | ||||
\(352\) | −0.343407 | + | 0.509121i | −0.0183036 | + | 0.0271363i | ||||
\(353\) | −10.9734 | + | 2.33248i | −0.584057 | + | 0.124145i | −0.490458 | − | 0.871465i | \(-0.663170\pi\) |
−0.0935990 | + | 0.995610i | \(0.529837\pi\) | |||||||
\(354\) | 0.907830 | + | 1.00825i | 0.0482506 | + | 0.0535878i | ||||
\(355\) | −14.1440 | + | 28.1683i | −0.750684 | + | 1.49502i | ||||
\(356\) | 5.84826 | + | 3.65440i | 0.309957 | + | 0.193683i | ||||
\(357\) | 0.215022 | + | 0.180425i | 0.0113801 | + | 0.00954908i | ||||
\(358\) | 18.3559 | − | 9.76001i | 0.970140 | − | 0.515833i | ||||
\(359\) | −8.88393 | − | 13.1710i | −0.468876 | − | 0.695137i | 0.518224 | − | 0.855245i | \(-0.326594\pi\) |
−0.987099 | + | 0.160108i | \(0.948816\pi\) | |||||||
\(360\) | 3.86762 | + | 1.15757i | 0.203841 | + | 0.0610093i | ||||
\(361\) | 18.8624 | + | 2.28250i | 0.992758 | + | 0.120132i | ||||
\(362\) | −7.04360 | − | 5.11747i | −0.370203 | − | 0.268968i | ||||
\(363\) | 6.49238 | + | 9.62535i | 0.340762 | + | 0.505200i | ||||
\(364\) | −0.0662273 | − | 0.0639550i | −0.00347125 | − | 0.00335215i | ||||
\(365\) | 0.813436 | − | 17.4933i | 0.0425772 | − | 0.915639i | ||||
\(366\) | 9.71468 | − | 0.679316i | 0.507794 | − | 0.0355084i | ||||
\(367\) | 1.61381 | − | 0.226806i | 0.0842401 | − | 0.0118392i | −0.0969271 | − | 0.995291i | \(-0.530901\pi\) |
0.181167 | + | 0.983452i | \(0.442012\pi\) | |||||||
\(368\) | −1.43682 | + | 2.48865i | −0.0748996 | + | 0.129730i | ||||
\(369\) | −12.9670 | + | 14.4013i | −0.675036 | + | 0.749703i | ||||
\(370\) | 0.235165 | + | 0.601999i | 0.0122257 | + | 0.0312964i | ||||
\(371\) | −0.00940204 | − | 0.269239i | −0.000488130 | − | 0.0139782i | ||||
\(372\) | −1.13410 | + | 0.241061i | −0.0588005 | + | 0.0124984i | ||||
\(373\) | 1.24429 | + | 11.8386i | 0.0644269 | + | 0.612981i | 0.978330 | + | 0.207049i | \(0.0663861\pi\) |
−0.913904 | + | 0.405931i | \(0.866947\pi\) | |||||||
\(374\) | −0.803950 | + | 4.55943i | −0.0415713 | + | 0.235762i | ||||
\(375\) | 10.9816 | − | 5.35919i | 0.567090 | − | 0.276747i | ||||
\(376\) | 10.3436 | + | 8.67933i | 0.533431 | + | 0.447602i | ||||
\(377\) | 9.04489 | + | 8.73455i | 0.465836 | + | 0.449852i | ||||
\(378\) | −0.110152 | + | 0.140988i | −0.00566562 | + | 0.00725166i | ||||
\(379\) | 5.33372 | − | 16.4155i | 0.273975 | − | 0.843208i | −0.715514 | − | 0.698598i | \(-0.753807\pi\) |
0.989489 | − | 0.144610i | \(-0.0461926\pi\) | |||||||
\(380\) | 9.15245 | + | 3.35153i | 0.469511 | + | 0.171930i | ||||
\(381\) | −2.28760 | − | 7.04050i | −0.117197 | − | 0.360696i | ||||
\(382\) | 7.25611 | + | 2.64101i | 0.371255 | + | 0.135126i | ||||
\(383\) | 12.2472 | − | 6.51194i | 0.625801 | − | 0.332745i | −0.126102 | − | 0.992017i | \(-0.540247\pi\) |
0.751904 | + | 0.659273i | \(0.229136\pi\) | |||||||
\(384\) | −0.264409 | − | 1.06049i | −0.0134930 | − | 0.0541177i | ||||
\(385\) | 0.0456410 | + | 0.0102541i | 0.00232608 | + | 0.000522598i | ||||
\(386\) | 5.59685 | + | 11.4752i | 0.284872 | + | 0.584075i | ||||
\(387\) | 8.09926 | − | 3.60602i | 0.411708 | − | 0.183304i | ||||
\(388\) | 1.82771 | − | 17.3895i | 0.0927879 | − | 0.882818i | ||||
\(389\) | 17.3818 | − | 25.7696i | 0.881292 | − | 1.30657i | −0.0697679 | − | 0.997563i | \(-0.522226\pi\) |
0.951060 | − | 0.309006i | \(-0.0999964\pi\) | |||||||
\(390\) | 6.59379 | − | 0.384545i | 0.333890 | − | 0.0194722i | ||||
\(391\) | −2.26454 | + | 21.5456i | −0.114523 | + | 1.08961i | ||||
\(392\) | −6.84590 | − | 1.45514i | −0.345770 | − | 0.0734957i | ||||
\(393\) | −1.97164 | + | 11.1817i | −0.0994561 | + | 0.564043i | ||||
\(394\) | −1.57238 | − | 0.982534i | −0.0792155 | − | 0.0494993i | ||||
\(395\) | 0.347200 | + | 0.527804i | 0.0174695 | + | 0.0265567i | ||||
\(396\) | −1.09796 | − | 0.154309i | −0.0551747 | − | 0.00775430i | ||||
\(397\) | 8.03063 | − | 10.2787i | 0.403046 | − | 0.515875i | −0.543077 | − | 0.839683i | \(-0.682741\pi\) |
0.946123 | + | 0.323808i | \(0.104963\pi\) | |||||||
\(398\) | 15.4547 | − | 11.2285i | 0.774673 | − | 0.562833i | ||||
\(399\) | −0.107431 | + | 0.121642i | −0.00537825 | + | 0.00608974i | ||||
\(400\) | 4.17785 | + | 2.74691i | 0.208893 | + | 0.137346i | ||||
\(401\) | −16.9685 | − | 6.17601i | −0.847364 | − | 0.308415i | −0.118399 | − | 0.992966i | \(-0.537776\pi\) |
−0.728965 | + | 0.684551i | \(0.759998\pi\) | |||||||
\(402\) | 9.58241 | + | 9.25363i | 0.477927 | + | 0.461529i | ||||
\(403\) | 2.43139 | − | 1.51930i | 0.121116 | − | 0.0756819i | ||||
\(404\) | −3.47655 | − | 8.60477i | −0.172965 | − | 0.428103i | ||||
\(405\) | −0.117527 | − | 0.714749i | −0.00583997 | − | 0.0355161i | ||||
\(406\) | −0.155025 | − | 0.0329516i | −0.00769377 | − | 0.00163536i | ||||
\(407\) | −0.0887497 | − | 0.153719i | −0.00439916 | − | 0.00761957i | ||||
\(408\) | −5.07288 | − | 6.49298i | −0.251145 | − | 0.321451i | ||||
\(409\) | −19.0864 | − | 5.47295i | −0.943764 | − | 0.270620i | −0.231742 | − | 0.972777i | \(-0.574443\pi\) |
−0.712022 | + | 0.702157i | \(0.752220\pi\) | |||||||
\(410\) | −20.4995 | + | 12.4824i | −1.01240 | + | 0.616460i | ||||
\(411\) | 1.99577 | + | 18.9885i | 0.0984441 | + | 0.936633i | ||||
\(412\) | −2.30975 | + | 2.23050i | −0.113793 | + | 0.109889i | ||||
\(413\) | 0.0421842 | − | 0.00294981i | 0.00207575 | − | 0.000145151i | ||||
\(414\) | −5.17562 | − | 0.361914i | −0.254368 | − | 0.0177871i | ||||
\(415\) | 13.7853 | + | 24.5273i | 0.676693 | + | 1.20400i | ||||
\(416\) | 1.51129 | + | 2.24058i | 0.0740973 | + | 0.109854i | ||||
\(417\) | 1.48341 | + | 4.56548i | 0.0726431 | + | 0.223572i | ||||
\(418\) | −2.62358 | − | 0.531382i | −0.128323 | − | 0.0259907i | ||||
\(419\) | 1.48088 | + | 4.55767i | 0.0723456 | + | 0.222657i | 0.980691 | − | 0.195564i | \(-0.0626538\pi\) |
−0.908345 | + | 0.418221i | \(0.862654\pi\) | |||||||
\(420\) | −0.0679145 | + | 0.0481532i | −0.00331389 | + | 0.00234964i | ||||
\(421\) | −6.46948 | − | 0.909226i | −0.315303 | − | 0.0443130i | −0.0202535 | − | 0.999795i | \(-0.506447\pi\) |
−0.295050 | + | 0.955482i | \(0.595336\pi\) | |||||||
\(422\) | 10.7179 | − | 6.69730i | 0.521740 | − | 0.326019i | ||||
\(423\) | −5.89768 | + | 23.6543i | −0.286755 | + | 1.15011i | ||||
\(424\) | −1.37327 | + | 7.78823i | −0.0666921 | + | 0.378230i | ||||
\(425\) | 37.1967 | + | 6.10765i | 1.80431 | + | 0.296264i | ||||
\(426\) | 7.70318 | + | 13.3423i | 0.373220 | + | 0.646437i | ||||
\(427\) | 0.169732 | − | 0.251639i | 0.00821392 | − | 0.0121776i | ||||
\(428\) | 0.201457 | + | 5.76897i | 0.00973778 | + | 0.278854i | ||||
\(429\) | −1.77435 | + | 0.377150i | −0.0856664 | + | 0.0182090i | ||||
\(430\) | 10.8903 | − | 1.40236i | 0.525178 | − | 0.0676278i | ||||
\(431\) | −23.8153 | + | 3.34702i | −1.14714 | + | 0.161220i | −0.687022 | − | 0.726637i | \(-0.741082\pi\) |
−0.460120 | + | 0.887857i | \(0.652193\pi\) | |||||||
\(432\) | 4.02336 | − | 3.37600i | 0.193574 | − | 0.162428i | ||||
\(433\) | −14.7820 | + | 36.5866i | −0.710376 | + | 1.75824i | −0.0605424 | + | 0.998166i | \(0.519283\pi\) |
−0.649834 | + | 0.760077i | \(0.725161\pi\) | |||||||
\(434\) | −0.0158418 | + | 0.0324806i | −0.000760433 | + | 0.00155912i | ||||
\(435\) | 9.27531 | − | 6.57645i | 0.444717 | − | 0.315316i | ||||
\(436\) | 14.7084 | − | 10.6863i | 0.704406 | − | 0.511781i | ||||
\(437\) | −12.4202 | − | 1.62409i | −0.594139 | − | 0.0776909i | ||||
\(438\) | −6.92489 | − | 5.03123i | −0.330884 | − | 0.240401i | ||||
\(439\) | 27.6715 | − | 7.93468i | 1.32069 | − | 0.378701i | 0.460039 | − | 0.887899i | \(-0.347835\pi\) |
0.860650 | + | 0.509197i | \(0.170058\pi\) | |||||||
\(440\) | −1.24794 | − | 0.572992i | −0.0594930 | − | 0.0273163i | ||||
\(441\) | −3.05695 | − | 12.2608i | −0.145569 | − | 0.583846i | ||||
\(442\) | 17.2790 | + | 10.7971i | 0.821880 | + | 0.513568i | ||||
\(443\) | −5.53615 | + | 31.3970i | −0.263030 | + | 1.49172i | 0.511556 | + | 0.859250i | \(0.329069\pi\) |
−0.774586 | + | 0.632468i | \(0.782042\pi\) | |||||||
\(444\) | 0.308997 | + | 0.0656794i | 0.0146644 | + | 0.00311701i | ||||
\(445\) | −5.94141 | + | 14.2297i | −0.281650 | + | 0.674551i | ||||
\(446\) | −0.580575 | − | 16.6255i | −0.0274910 | − | 0.787240i | ||||
\(447\) | 0.253241 | + | 7.25188i | 0.0119779 | + | 0.343002i | ||||
\(448\) | −0.0311205 | − | 0.0138557i | −0.00147030 | − | 0.000654621i | ||||
\(449\) | −7.49520 | + | 12.9821i | −0.353721 | + | 0.612662i | −0.986898 | − | 0.161345i | \(-0.948417\pi\) |
0.633178 | + | 0.774007i | \(0.281750\pi\) | |||||||
\(450\) | −1.15091 | + | 8.95363i | −0.0542542 | + | 0.422078i | ||||
\(451\) | 5.04943 | − | 4.23697i | 0.237768 | − | 0.199511i | ||||
\(452\) | −11.4174 | − | 0.798385i | −0.537031 | − | 0.0375529i | ||||
\(453\) | −21.4441 | − | 3.01377i | −1.00753 | − | 0.141599i | ||||
\(454\) | 6.55693 | − | 8.39249i | 0.307732 | − | 0.393879i | ||||
\(455\) | 0.117085 | − | 0.169330i | 0.00548903 | − | 0.00793831i | ||||
\(456\) | 3.82714 | − | 2.83712i | 0.179222 | − | 0.132860i | ||||
\(457\) | −26.7792 | −1.25268 | −0.626340 | − | 0.779550i | \(-0.715448\pi\) | ||||
−0.626340 | + | 0.779550i | \(0.715448\pi\) | |||||||
\(458\) | 0.397842 | − | 11.3927i | 0.0185899 | − | 0.532346i | ||||
\(459\) | 17.3576 | − | 35.5883i | 0.810182 | − | 1.66112i | ||||
\(460\) | −6.01235 | − | 2.26736i | −0.280327 | − | 0.105716i | ||||
\(461\) | 4.13385 | − | 16.5800i | 0.192532 | − | 0.772205i | −0.793901 | − | 0.608046i | \(-0.791953\pi\) |
0.986434 | − | 0.164159i | \(-0.0524910\pi\) | |||||||
\(462\) | 0.0164474 | − | 0.0158831i | 0.000765203 | − | 0.000738948i | ||||
\(463\) | 14.6203 | − | 6.50939i | 0.679464 | − | 0.302517i | −0.0378334 | − | 0.999284i | \(-0.512046\pi\) |
0.717297 | + | 0.696767i | \(0.245379\pi\) | |||||||
\(464\) | 4.25023 | + | 1.89232i | 0.197312 | + | 0.0878489i | ||||
\(465\) | −0.943348 | − | 2.41487i | −0.0437467 | − | 0.111987i | ||||
\(466\) | −15.2356 | − | 4.36874i | −0.705775 | − | 0.202378i | ||||
\(467\) | 9.63205 | − | 10.6975i | 0.445718 | − | 0.495020i | −0.477857 | − | 0.878438i | \(-0.658586\pi\) |
0.923575 | + | 0.383417i | \(0.125253\pi\) | |||||||
\(468\) | −2.43975 | + | 4.22577i | −0.112777 | + | 0.195336i | ||||
\(469\) | 0.411158 | − | 0.0577845i | 0.0189855 | − | 0.00266824i | ||||
\(470\) | −15.3977 | + | 25.9715i | −0.710241 | + | 1.19798i | ||||
\(471\) | −4.17520 | + | 2.60896i | −0.192383 | + | 0.120214i | ||||
\(472\) | −1.22927 | − | 0.172762i | −0.0565816 | − | 0.00795202i | ||||
\(473\) | −2.89878 | + | 0.831213i | −0.133286 | + | 0.0382192i | ||||
\(474\) | 0.308795 | 0.0141834 | ||||||||
\(475\) | −4.07436 | + | 21.4103i | −0.186945 | + | 0.982370i | ||||
\(476\) | −0.256819 | −0.0117713 | ||||||||
\(477\) | −13.7251 | + | 3.93562i | −0.628431 | + | 0.180200i | ||||
\(478\) | 14.4203 | + | 2.02664i | 0.659569 | + | 0.0926964i | ||||
\(479\) | 31.5336 | − | 19.7044i | 1.44081 | − | 0.900316i | 0.440811 | − | 0.897600i | \(-0.354691\pi\) |
0.999996 | − | 0.00271599i | \(-0.000864527\pi\) | |||||||
\(480\) | 2.24397 | − | 0.968153i | 0.102423 | − | 0.0441900i | ||||
\(481\) | −0.773553 | + | 0.108716i | −0.0352710 | + | 0.00495701i | ||||
\(482\) | −11.2077 | + | 19.4123i | −0.510498 | + | 0.884208i | ||||
\(483\) | 0.0715914 | − | 0.0795103i | 0.00325752 | − | 0.00361784i | ||||
\(484\) | −10.2114 | − | 2.92806i | −0.464153 | − | 0.133094i | ||||
\(485\) | 39.0319 | − | 2.27631i | 1.77235 | − | 0.103362i | ||||
\(486\) | 14.0707 | + | 6.26470i | 0.638262 | + | 0.284172i | ||||
\(487\) | −10.6188 | + | 4.72780i | −0.481185 | + | 0.214237i | −0.632970 | − | 0.774176i | \(-0.718164\pi\) |
0.151785 | + | 0.988413i | \(0.451498\pi\) | |||||||
\(488\) | −6.40946 | + | 6.18954i | −0.290142 | + | 0.280187i | ||||
\(489\) | 5.98077 | − | 23.9876i | 0.270460 | − | 1.08476i | ||||
\(490\) | 0.726934 | − | 15.6330i | 0.0328395 | − | 0.706226i | ||||
\(491\) | 11.4971 | − | 23.5725i | 0.518856 | − | 1.06381i | −0.465077 | − | 0.885270i | \(-0.653973\pi\) |
0.983932 | − | 0.178541i | \(-0.0571378\pi\) | |||||||
\(492\) | −0.409412 | + | 11.7240i | −0.0184577 | + | 0.528560i | ||||
\(493\) | 35.0747 | 1.57968 | ||||||||
\(494\) | −6.49350 | + | 9.82929i | −0.292156 | + | 0.442240i | ||||
\(495\) | −0.0578768 | − | 2.47857i | −0.00260137 | − | 0.111403i | ||||
\(496\) | 0.653115 | − | 0.835949i | 0.0293257 | − | 0.0375352i | ||||
\(497\) | 0.475520 | + | 0.0668299i | 0.0213300 | + | 0.00299773i | ||||
\(498\) | 13.7188 | + | 0.959309i | 0.614752 | + | 0.0429877i | ||||
\(499\) | −29.2638 | + | 24.5553i | −1.31003 | + | 1.09924i | −0.321711 | + | 0.946838i | \(0.604258\pi\) |
−0.988318 | + | 0.152407i | \(0.951298\pi\) | |||||||
\(500\) | −4.54514 | + | 10.2148i | −0.203265 | + | 0.456819i | ||||
\(501\) | −4.20935 | + | 7.29081i | −0.188060 | + | 0.325729i | ||||
\(502\) | 2.61858 | + | 1.16587i | 0.116873 | + | 0.0520351i | ||||
\(503\) | −0.994077 | − | 28.4666i | −0.0443237 | − | 1.26927i | −0.794187 | − | 0.607673i | \(-0.792103\pi\) |
0.749864 | − | 0.661592i | \(-0.230119\pi\) | |||||||
\(504\) | −0.00214646 | − | 0.0614666i | −9.56109e−5 | − | 0.00273794i | ||||
\(505\) | 17.7246 | − | 10.7927i | 0.788733 | − | 0.480268i | ||||
\(506\) | 1.72618 | + | 0.366910i | 0.0767378 | + | 0.0163111i | ||||
\(507\) | 1.08099 | − | 6.13062i | 0.0480086 | − | 0.272270i | ||||
\(508\) | 5.74404 | + | 3.58927i | 0.254851 | + | 0.159248i | ||||
\(509\) | −3.39576 | − | 13.6196i | −0.150514 | − | 0.603680i | −0.997410 | − | 0.0719214i | \(-0.977087\pi\) |
0.846896 | − | 0.531759i | \(-0.178469\pi\) | |||||||
\(510\) | 12.4859 | − | 13.5487i | 0.552885 | − | 0.599946i | ||||
\(511\) | −0.256456 | + | 0.0735375i | −0.0113449 | + | 0.00325311i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 20.3160 | + | 10.5533i | 0.896974 | + | 0.465938i | ||||
\(514\) | −12.6769 | + | 9.21030i | −0.559154 | + | 0.406249i | ||||
\(515\) | −5.75945 | − | 4.28707i | −0.253792 | − | 0.188911i | ||||
\(516\) | 2.35272 | − | 4.82378i | 0.103573 | − | 0.212355i | ||||
\(517\) | 3.10628 | − | 7.68832i | 0.136614 | − | 0.338132i | ||||
\(518\) | 0.00754258 | − | 0.00632897i | 0.000331402 | − | 0.000278079i | ||||
\(519\) | 25.4369 | − | 3.57492i | 1.11656 | − | 0.156922i | ||||
\(520\) | −4.39540 | + | 4.14748i | −0.192751 | + | 0.181879i | ||||
\(521\) | 16.3376 | − | 3.47267i | 0.715764 | − | 0.152140i | 0.164386 | − | 0.986396i | \(-0.447436\pi\) |
0.551378 | + | 0.834256i | \(0.314102\pi\) | |||||||
\(522\) | 0.293149 | + | 8.39470i | 0.0128308 | + | 0.367426i | ||||
\(523\) | 19.0178 | − | 28.1951i | 0.831592 | − | 1.23289i | −0.138551 | − | 0.990355i | \(-0.544245\pi\) |
0.970144 | − | 0.242531i | \(-0.0779777\pi\) | |||||||
\(524\) | −5.19430 | − | 8.99679i | −0.226914 | − | 0.393026i | ||||
\(525\) | −0.130887 | − | 0.132379i | −0.00571237 | − | 0.00577748i | ||||
\(526\) | 4.79783 | − | 27.2099i | 0.209195 | − | 1.18641i | ||||
\(527\) | 1.93479 | − | 7.76003i | 0.0842809 | − | 0.338032i | ||||
\(528\) | −0.569204 | + | 0.355678i | −0.0247714 | + | 0.0154789i | ||||
\(529\) | −14.5987 | − | 2.05171i | −0.634725 | − | 0.0892048i | ||||
\(530\) | −17.6825 | − | 0.204417i | −0.768078 | − | 0.00887933i | ||||
\(531\) | −0.692570 | − | 2.13151i | −0.0300550 | − | 0.0924996i | ||||
\(532\) | 0.00375706 | − | 0.148441i | 0.000162889 | − | 0.00643573i | ||||
\(533\) | −8.96419 | − | 27.5889i | −0.388282 | − | 1.19501i | ||||
\(534\) | 4.21471 | + | 6.24857i | 0.182389 | + | 0.270402i | ||||
\(535\) | −12.6558 | + | 2.53753i | −0.547157 | + | 0.109707i | ||||
\(536\) | −12.1585 | − | 0.850207i | −0.525169 | − | 0.0367234i | ||||
\(537\) | 22.6664 | − | 1.58499i | 0.978127 | − | 0.0683973i | ||||
\(538\) | 3.14532 | − | 3.03740i | 0.135604 | − | 0.130952i | ||||
\(539\) | 0.449270 | + | 4.27452i | 0.0193514 | + | 0.184117i | ||||
\(540\) | 8.90865 | + | 7.65247i | 0.383367 | + | 0.329310i | ||||
\(541\) | −14.3321 | − | 4.10966i | −0.616185 | − | 0.176688i | −0.0469961 | − | 0.998895i | \(-0.514965\pi\) |
−0.569189 | + | 0.822207i | \(0.692743\pi\) | |||||||
\(542\) | 12.7161 | + | 16.2758i | 0.546201 | + | 0.699106i | ||||
\(543\) | −4.75781 | − | 8.24078i | −0.204177 | − | 0.353646i | ||||
\(544\) | 7.37422 | + | 1.56744i | 0.316167 | + | 0.0672034i | ||||
\(545\) | 28.9150 | + | 28.5762i | 1.23858 | + | 1.22407i | ||||
\(546\) | −0.0376946 | − | 0.0932974i | −0.00161318 | − | 0.00399276i | ||||
\(547\) | 5.11515 | − | 3.19630i | 0.218708 | − | 0.136664i | −0.416141 | − | 0.909300i | \(-0.636618\pi\) |
0.634849 | + | 0.772636i | \(0.281062\pi\) | |||||||
\(548\) | −12.5664 | − | 12.1352i | −0.536808 | − | 0.518390i | ||||
\(549\) | −15.1168 | − | 5.50208i | −0.645171 | − | 0.234823i | ||||
\(550\) | 0.811512 | − | 2.96138i | 0.0346030 | − | 0.126274i | ||||
\(551\) | −0.513115 | + | 20.2731i | −0.0218594 | + | 0.863662i | ||||
\(552\) | −2.54092 | + | 1.84609i | −0.108149 | + | 0.0785748i | ||||
\(553\) | 0.00592553 | − | 0.00758433i | 0.000251979 | − | 0.000322519i | ||||
\(554\) | −14.1928 | − | 1.99467i | −0.602996 | − | 0.0847455i | ||||
\(555\) | −0.0328110 | + | 0.705613i | −0.00139275 | + | 0.0299516i | ||||
\(556\) | −3.72477 | − | 2.32750i | −0.157966 | − | 0.0987079i | ||||
\(557\) | −4.34996 | + | 24.6698i | −0.184314 | + | 1.04529i | 0.742521 | + | 0.669823i | \(0.233630\pi\) |
−0.926834 | + | 0.375471i | \(0.877481\pi\) | |||||||
\(558\) | 1.87344 | + | 0.398212i | 0.0793091 | + | 0.0168577i | ||||
\(559\) | −1.38723 | + | 13.1986i | −0.0586736 | + | 0.558242i | ||||
\(560\) | 0.0192811 | − | 0.0736923i | 0.000814773 | − | 0.00311407i | ||||
\(561\) | −2.82957 | + | 4.19501i | −0.119465 | + | 0.177114i | ||||
\(562\) | 2.11941 | − | 20.1649i | 0.0894020 | − | 0.850603i | ||||
\(563\) | −29.9237 | + | 13.3229i | −1.26113 | + | 0.561493i | −0.924873 | − | 0.380276i | \(-0.875829\pi\) |
−0.336261 | + | 0.941769i | \(0.609162\pi\) | |||||||
\(564\) | 6.46936 | + | 13.2641i | 0.272409 | + | 0.558521i | ||||
\(565\) | −2.38075 | − | 25.4815i | −0.100159 | − | 1.07202i | ||||
\(566\) | 4.71296 | + | 18.9026i | 0.198100 | + | 0.794538i | ||||
\(567\) | −0.00974344 | + | 0.00518068i | −0.000409186 | + | 0.000217568i | ||||
\(568\) | −13.2460 | − | 4.82116i | −0.555791 | − | 0.202291i | ||||
\(569\) | 8.99241 | + | 27.6758i | 0.376982 | + | 1.16023i | 0.942132 | + | 0.335242i | \(0.108818\pi\) |
−0.565150 | + | 0.824988i | \(0.691182\pi\) | |||||||
\(570\) | 7.64845 | + | 7.41502i | 0.320358 | + | 0.310581i | ||||
\(571\) | −3.83166 | + | 11.7927i | −0.160350 | + | 0.493507i | −0.998664 | − | 0.0516815i | \(-0.983542\pi\) |
0.838313 | + | 0.545189i | \(0.183542\pi\) | |||||||
\(572\) | 1.02182 | − | 1.30788i | 0.0427246 | − | 0.0546850i | ||||
\(573\) | 6.07089 | + | 5.86259i | 0.253615 | + | 0.244913i | ||||
\(574\) | 0.280099 | + | 0.235031i | 0.0116911 | + | 0.00980999i | ||||
\(575\) | 2.82147 | − | 14.0885i | 0.117663 | − | 0.587531i | ||||
\(576\) | −0.313515 | + | 1.77803i | −0.0130631 | + | 0.0740846i | ||||
\(577\) | −0.100393 | − | 0.955179i | −0.00417943 | − | 0.0397646i | 0.992233 | − | 0.124390i | \(-0.0396974\pi\) |
−0.996413 | + | 0.0846253i | \(0.973031\pi\) | |||||||
\(578\) | 38.9655 | − | 8.28237i | 1.62075 | − | 0.344501i | ||||
\(579\) | 0.486991 | + | 13.9456i | 0.0202387 | + | 0.579560i | ||||
\(580\) | −2.63328 | + | 10.0644i | −0.109341 | + | 0.417902i | ||||
\(581\) | 0.286814 | − | 0.318539i | 0.0118991 | − | 0.0132152i | ||||
\(582\) | 9.55527 | − | 16.5502i | 0.396079 | − | 0.686028i | ||||
\(583\) | 4.80936 | − | 0.675911i | 0.199183 | − | 0.0279934i | ||||
\(584\) | 7.81260 | − | 0.546310i | 0.323288 | − | 0.0226065i | ||||
\(585\) | −10.2091 | − | 3.85001i | −0.422092 | − | 0.159178i | ||||
\(586\) | −3.02548 | − | 2.92167i | −0.124982 | − | 0.120693i | ||||
\(587\) | −1.72354 | − | 2.55525i | −0.0711380 | − | 0.105466i | 0.791790 | − | 0.610794i | \(-0.209150\pi\) |
−0.862928 | + | 0.505327i | \(0.831372\pi\) | |||||||
\(588\) | −6.18848 | − | 4.49620i | −0.255209 | − | 0.185420i | ||||
\(589\) | 4.45698 | + | 1.23183i | 0.183647 | + | 0.0507566i | ||||
\(590\) | −0.0647983 | − | 2.77498i | −0.00266770 | − | 0.114244i | ||||
\(591\) | −1.13318 | − | 1.68001i | −0.0466129 | − | 0.0691065i | ||||
\(592\) | −0.255202 | + | 0.135694i | −0.0104888 | + | 0.00557697i | ||||
\(593\) | −11.6186 | − | 9.74913i | −0.477117 | − | 0.400349i | 0.372265 | − | 0.928126i | \(-0.378581\pi\) |
−0.849383 | + | 0.527777i | \(0.823026\pi\) | |||||||
\(594\) | −2.73529 | − | 1.70920i | −0.112230 | − | 0.0701292i | ||||
\(595\) | −0.0931760 | − | 0.566656i | −0.00381984 | − | 0.0232306i | ||||
\(596\) | −4.44248 | − | 4.93387i | −0.181971 | − | 0.202099i | ||||
\(597\) | 20.4224 | − | 4.34092i | 0.835834 | − | 0.177662i | ||||
\(598\) | 4.34292 | − | 6.43865i | 0.177595 | − | 0.263296i | ||||
\(599\) | 18.4736 | − | 6.72384i | 0.754811 | − | 0.274729i | 0.0641822 | − | 0.997938i | \(-0.479556\pi\) |
0.690629 | + | 0.723210i | \(0.257334\pi\) | |||||||
\(600\) | 2.95030 | + | 4.59992i | 0.120445 | + | 0.187791i | ||||
\(601\) | −12.5668 | + | 21.7663i | −0.512610 | + | 0.887866i | 0.487284 | + | 0.873244i | \(0.337988\pi\) |
−0.999893 | + | 0.0146220i | \(0.995346\pi\) | |||||||
\(602\) | −0.0733306 | − | 0.150350i | −0.00298873 | − | 0.00612781i | ||||
\(603\) | −8.24335 | − | 20.4030i | −0.335695 | − | 0.830874i | ||||
\(604\) | 16.8026 | − | 10.4994i | 0.683686 | − | 0.427215i | ||||
\(605\) | 2.75582 | − | 23.5930i | 0.112040 | − | 0.959194i | ||||
\(606\) | 0.353992 | − | 10.1370i | 0.0143799 | − | 0.411787i | ||||
\(607\) | −2.81563 | −0.114283 | −0.0571414 | − | 0.998366i | \(-0.518199\pi\) | ||||
−0.0571414 | + | 0.998366i | \(0.518199\pi\) | |||||||
\(608\) | −1.01385 | + | 4.23935i | −0.0411172 | + | 0.171928i | ||||
\(609\) | −0.140138 | − | 0.101816i | −0.00567868 | − | 0.00412580i | ||||
\(610\) | −15.9822 | − | 11.8965i | −0.647102 | − | 0.481674i | ||||
\(611\) | −26.2506 | − | 25.3499i | −1.06199 | − | 1.02555i | ||||
\(612\) | 3.29287 | + | 13.2070i | 0.133106 | + | 0.533861i | ||||
\(613\) | 33.2001 | − | 2.32158i | 1.34094 | − | 0.0937677i | 0.618819 | − | 0.785534i | \(-0.287612\pi\) |
0.722122 | + | 0.691766i | \(0.243167\pi\) | |||||||
\(614\) | 4.25235 | + | 8.71861i | 0.171611 | + | 0.351855i | ||||
\(615\) | −26.0169 | + | 3.35023i | −1.04910 | + | 0.135094i | ||||
\(616\) | −0.00218674 | + | 0.0208055i | −8.81063e−5 | + | 0.000838276i | ||||
\(617\) | 10.2198 | + | 13.0807i | 0.411433 | + | 0.526610i | 0.948435 | − | 0.316971i | \(-0.102666\pi\) |
−0.537003 | + | 0.843581i | \(0.680443\pi\) | |||||||
\(618\) | −3.29774 | + | 1.20028i | −0.132655 | + | 0.0482823i | ||||
\(619\) | 1.29665 | − | 1.44008i | 0.0521169 | − | 0.0578817i | −0.716523 | − | 0.697564i | \(-0.754267\pi\) |
0.768640 | + | 0.639682i | \(0.220934\pi\) | |||||||
\(620\) | 2.08143 | + | 1.13777i | 0.0835921 | + | 0.0456939i | ||||
\(621\) | −13.3261 | − | 7.08562i | −0.534759 | − | 0.284336i | ||||
\(622\) | −11.4679 | − | 28.3840i | −0.459821 | − | 1.13810i | ||||
\(623\) | 0.234349 | + | 0.0163873i | 0.00938899 | + | 0.000656542i | ||||
\(624\) | 0.512930 | + | 2.90897i | 0.0205336 | + | 0.116452i | ||||
\(625\) | −24.1873 | − | 6.32257i | −0.967492 | − | 0.252903i | ||||
\(626\) | −3.83502 | −0.153278 | ||||||||
\(627\) | −2.38331 | − | 1.69686i | −0.0951804 | − | 0.0677659i | ||||
\(628\) | 1.39200 | − | 4.28413i | 0.0555468 | − | 0.170955i | ||||
\(629\) | −1.34154 | + | 1.71709i | −0.0534907 | + | 0.0684650i | ||||
\(630\) | 0.134843 | − | 0.0270366i | 0.00537229 | − | 0.00107716i | ||||
\(631\) | 7.68794 | − | 19.0283i | 0.306052 | − | 0.757505i | −0.693270 | − | 0.720678i | \(-0.743830\pi\) |
0.999322 | − | 0.0368270i | \(-0.0117251\pi\) | |||||||
\(632\) | −0.216433 | + | 0.181609i | −0.00860924 | + | 0.00722401i | ||||
\(633\) | 13.6786 | − | 1.92241i | 0.543677 | − | 0.0764089i | ||||
\(634\) | −2.56863 | + | 1.14363i | −0.102013 | + | 0.0454193i | ||||
\(635\) | −5.83553 | + | 13.9761i | −0.231576 | + | 0.554624i | ||||
\(636\) | −4.83336 | + | 7.16575i | −0.191655 | + | 0.284141i | ||||
\(637\) | 18.1826 | + | 5.21376i | 0.720419 | + | 0.206577i | ||||
\(638\) | 0.298651 | − | 2.84147i | 0.0118237 | − | 0.112495i | ||||
\(639\) | −2.66025 | − | 25.3106i | −0.105238 | − | 1.00127i | ||||
\(640\) | −1.00339 | + | 1.99830i | −0.0396626 | + | 0.0789897i | ||||
\(641\) | 6.79947 | − | 0.475465i | 0.268563 | − | 0.0187797i | 0.0651599 | − | 0.997875i | \(-0.479244\pi\) |
0.203403 | + | 0.979095i | \(0.434800\pi\) | |||||||
\(642\) | −2.36341 | + | 5.84964i | −0.0932763 | + | 0.230867i | ||||
\(643\) | 3.93771 | + | 22.3319i | 0.155288 | + | 0.880683i | 0.958522 | + | 0.285019i | \(0.0919998\pi\) |
−0.803234 | + | 0.595664i | \(0.796889\pi\) | |||||||
\(644\) | −0.00341640 | + | 0.0978328i | −0.000134625 | + | 0.00385515i | ||||
\(645\) | 11.4970 | + | 3.44102i | 0.452693 | + | 0.135490i | ||||
\(646\) | 6.01683 | + | 32.3061i | 0.236729 | + | 1.27107i | ||||
\(647\) | −4.72208 | + | 14.5331i | −0.185644 | + | 0.571354i | −0.999959 | − | 0.00906979i | \(-0.997113\pi\) |
0.814315 | + | 0.580423i | \(0.197113\pi\) | |||||||
\(648\) | 0.311389 | − | 0.0892893i | 0.0122325 | − | 0.00350762i | ||||
\(649\) | 0.132376 | + | 0.750744i | 0.00519623 | + | 0.0294693i | ||||
\(650\) | −10.7458 | − | 8.19345i | −0.421487 | − | 0.321374i | ||||
\(651\) | −0.0302565 | + | 0.0253882i | −0.00118584 | + | 0.000995041i | ||||
\(652\) | 9.91571 | + | 20.3302i | 0.388329 | + | 0.796193i | ||||
\(653\) | −12.1545 | − | 13.4989i | −0.475642 | − | 0.528254i | 0.456802 | − | 0.889568i | \(-0.348995\pi\) |
−0.932444 | + | 0.361314i | \(0.882328\pi\) | |||||||
\(654\) | 19.4363 | − | 4.13131i | 0.760019 | − | 0.161547i | ||||
\(655\) | 17.9663 | − | 14.7250i | 0.702002 | − | 0.575353i | ||||
\(656\) | −6.60820 | − | 8.45811i | −0.258007 | − | 0.330234i | ||||
\(657\) | 7.06989 | + | 12.2454i | 0.275823 | + | 0.477739i | ||||
\(658\) | 0.449924 | + | 0.0956342i | 0.0175399 | + | 0.00372821i | ||||
\(659\) | −6.93114 | + | 6.69332i | −0.269999 | + | 0.260735i | −0.817315 | − | 0.576191i | \(-0.804538\pi\) |
0.547316 | + | 0.836926i | \(0.315650\pi\) | |||||||
\(660\) | −0.991293 | − | 1.12687i | −0.0385860 | − | 0.0438634i | ||||
\(661\) | −34.9975 | − | 2.44727i | −1.36125 | − | 0.0951876i | −0.629625 | − | 0.776899i | \(-0.716792\pi\) |
−0.731621 | + | 0.681711i | \(0.761236\pi\) | |||||||
\(662\) | −5.46460 | + | 11.2041i | −0.212388 | + | 0.435460i | ||||
\(663\) | 12.4526 | + | 18.4618i | 0.483620 | + | 0.716996i | ||||
\(664\) | −10.1796 | + | 7.39592i | −0.395046 | + | 0.287017i | ||||
\(665\) | 0.328889 | − | 0.0455658i | 0.0127538 | − | 0.00176696i | ||||
\(666\) | −0.422178 | − | 0.306730i | −0.0163591 | − | 0.0118855i | ||||
\(667\) | 0.466589 | − | 13.3614i | 0.0180664 | − | 0.517354i | ||||
\(668\) | −1.33757 | − | 7.58571i | −0.0517520 | − | 0.293500i | ||||
\(669\) | 6.81107 | − | 16.8580i | 0.263331 | − | 0.651767i | ||||
\(670\) | −2.53528 | − | 27.1355i | −0.0979463 | − | 1.04834i | ||||
\(671\) | 4.83136 | + | 2.56888i | 0.186512 | + | 0.0991704i | ||||
\(672\) | −0.0249131 | − | 0.0276688i | −0.000961042 | − | 0.00106735i | ||||
\(673\) | 11.9718 | + | 5.33017i | 0.461477 | + | 0.205463i | 0.624288 | − | 0.781194i | \(-0.285389\pi\) |
−0.162811 | + | 0.986657i | \(0.552056\pi\) | |||||||
\(674\) | 7.03128 | − | 2.55918i | 0.270835 | − | 0.0985758i | ||||
\(675\) | −13.6526 | + | 22.4328i | −0.525488 | + | 0.863437i | ||||
\(676\) | 2.84789 | + | 4.93268i | 0.109534 | + | 0.189719i | ||||
\(677\) | 3.50415 | + | 33.3398i | 0.134675 | + | 1.28135i | 0.828001 | + | 0.560727i | \(0.189478\pi\) |
−0.693325 | + | 0.720625i | \(0.743855\pi\) | |||||||
\(678\) | −11.0449 | − | 5.87270i | −0.424178 | − | 0.225540i | ||||
\(679\) | −0.223133 | − | 0.552273i | −0.00856306 | − | 0.0211943i | ||||
\(680\) | −0.783034 | + | 16.8394i | −0.0300280 | + | 0.645763i | ||||
\(681\) | 10.2777 | − | 5.46473i | 0.393841 | − | 0.209409i | ||||
\(682\) | −0.612182 | − | 0.222816i | −0.0234417 | − | 0.00853207i | ||||
\(683\) | −0.539785 | − | 1.66129i | −0.0206543 | − | 0.0635674i | 0.940198 | − | 0.340628i | \(-0.110640\pi\) |
−0.960852 | + | 0.277061i | \(0.910640\pi\) | |||||||
\(684\) | −7.68178 | + | 1.71006i | −0.293720 | + | 0.0653859i | ||||
\(685\) | 22.2164 | − | 32.1296i | 0.848845 | − | 1.22761i | ||||
\(686\) | −0.458405 | + | 0.131446i | −0.0175020 | + | 0.00501862i | ||||
\(687\) | 5.46178 | − | 11.1983i | 0.208380 | − | 0.427242i | ||||
\(688\) | 1.18796 | + | 4.76465i | 0.0452906 | + | 0.181651i | ||||
\(689\) | 5.17070 | − | 20.7386i | 0.196988 | − | 0.790076i | ||||
\(690\) | −4.99515 | − | 4.93662i | −0.190162 | − | 0.187934i | ||||
\(691\) | 10.1506 | − | 4.51933i | 0.386146 | − | 0.171923i | −0.204476 | − | 0.978872i | \(-0.565549\pi\) |
0.590622 | + | 0.806948i | \(0.298882\pi\) | |||||||
\(692\) | −15.7261 | + | 17.4656i | −0.597818 | + | 0.663944i | ||||
\(693\) | −0.0354925 | + | 0.0129182i | −0.00134825 | + | 0.000490722i | ||||
\(694\) | 15.3120 | + | 19.5984i | 0.581234 | + | 0.743945i | ||||
\(695\) | 3.78410 | − | 9.06292i | 0.143539 | − | 0.343776i | ||||
\(696\) | 3.40246 | + | 3.77882i | 0.128970 | + | 0.143236i | ||||
\(697\) | −71.4477 | − | 37.9894i | −2.70627 | − | 1.43895i | ||||
\(698\) | 1.74102 | − | 6.98285i | 0.0658986 | − | 0.264305i | ||||
\(699\) | −13.2700 | − | 11.1349i | −0.501919 | − | 0.421160i | ||||
\(700\) | 0.169593 | + | 0.0158063i | 0.00641001 | + | 0.000597423i | ||||
\(701\) | 1.57604 | + | 0.573633i | 0.0595263 | + | 0.0216658i | 0.371612 | − | 0.928388i | \(-0.378805\pi\) |
−0.312085 | + | 0.950054i | \(0.601028\pi\) | |||||||
\(702\) | −11.4837 | + | 8.34337i | −0.433423 | + | 0.314900i | ||||
\(703\) | −0.972850 | − | 0.800527i | −0.0366917 | − | 0.0301924i | ||||
\(704\) | 0.189771 | − | 0.584054i | 0.00715226 | − | 0.0220124i | ||||
\(705\) | −26.9194 | + | 19.0866i | −1.01384 | + | 0.718842i | ||||
\(706\) | 9.90542 | − | 5.26681i | 0.372796 | − | 0.198219i | ||||
\(707\) | −0.242183 | − | 0.203216i | −0.00910822 | − | 0.00764271i | ||||
\(708\) | −1.15057 | − | 0.718958i | −0.0432412 | − | 0.0270201i | ||||
\(709\) | 9.18275 | − | 8.86768i | 0.344866 | − | 0.333033i | −0.501973 | − | 0.864884i | \(-0.667392\pi\) |
0.846838 | + | 0.531851i | \(0.178503\pi\) | |||||||
\(710\) | 5.83183 | − | 30.9757i | 0.218865 | − | 1.16250i | ||||
\(711\) | −0.466002 | − | 0.207477i | −0.0174764 | − | 0.00778101i | ||||
\(712\) | −6.62899 | − | 1.90083i | −0.248432 | − | 0.0712368i | ||||
\(713\) | −2.93037 | − | 0.840271i | −0.109743 | − | 0.0314684i | ||||
\(714\) | −0.256424 | − | 0.114167i | −0.00959642 | − | 0.00427260i | ||||
\(715\) | 3.25647 | + | 1.78009i | 0.121785 | + | 0.0665714i | ||||
\(716\) | −14.9546 | + | 14.4415i | −0.558880 | + | 0.539704i | ||||
\(717\) | 13.4972 | + | 8.43396i | 0.504061 | + | 0.314972i | ||||
\(718\) | 12.1702 | + | 10.2120i | 0.454188 | + | 0.381109i | ||||
\(719\) | 17.7883 | − | 9.45821i | 0.663392 | − | 0.352732i | −0.103389 | − | 0.994641i | \(-0.532969\pi\) |
0.766781 | + | 0.641909i | \(0.221857\pi\) | |||||||
\(720\) | −4.03686 | − | 0.0466679i | −0.150445 | − | 0.00173921i | ||||
\(721\) | −0.0338009 | + | 0.104029i | −0.00125881 | + | 0.00387423i | ||||
\(722\) | −18.7608 | + | 3.00510i | −0.698206 | + | 0.111838i | ||||
\(723\) | −19.8201 | + | 14.4001i | −0.737117 | + | 0.535547i | ||||
\(724\) | 8.18131 | + | 2.97775i | 0.304056 | + | 0.110667i | ||||
\(725\) | −23.1619 | − | 2.15872i | −0.860211 | − | 0.0801730i | ||||
\(726\) | −8.89398 | − | 7.46294i | −0.330087 | − | 0.276976i | ||||
\(727\) | −12.1976 | + | 48.9221i | −0.452385 | + | 1.81442i | 0.117965 | + | 0.993018i | \(0.462363\pi\) |
−0.570351 | + | 0.821401i | \(0.693193\pi\) | |||||||
\(728\) | 0.0812902 | + | 0.0432227i | 0.00301281 | + | 0.00160194i | ||||
\(729\) | 11.9144 | + | 13.2323i | 0.441274 | + | 0.490085i | ||||
\(730\) | 4.03987 | + | 17.0398i | 0.149522 | + | 0.630672i | ||||
\(731\) | 22.7919 | + | 29.1723i | 0.842990 | + | 1.07898i | ||||
\(732\) | −9.15110 | + | 3.33073i | −0.338234 | + | 0.123107i | ||||
\(733\) | −1.41178 | + | 1.56794i | −0.0521452 | + | 0.0579131i | −0.768653 | − | 0.639666i | \(-0.779073\pi\) |
0.716508 | + | 0.697579i | \(0.245739\pi\) | |||||||
\(734\) | −1.48878 | + | 0.662846i | −0.0549517 | + | 0.0244661i | ||||
\(735\) | 7.67535 | − | 15.2858i | 0.283110 | − | 0.563824i | ||||
\(736\) | 0.695198 | − | 2.78829i | 0.0256253 | − | 0.102778i | ||||
\(737\) | 1.81077 | + | 7.26259i | 0.0667005 | + | 0.267521i | ||||
\(738\) | 8.49515 | − | 17.4176i | 0.312711 | − | 0.641152i | ||||
\(739\) | 2.77411 | − | 0.795463i | 0.102047 | − | 0.0292616i | −0.224225 | − | 0.974537i | \(-0.571985\pi\) |
0.326272 | + | 0.945276i | \(0.394207\pi\) | |||||||
\(740\) | −0.391989 | − | 0.513858i | −0.0144098 | − | 0.0188898i | ||||
\(741\) | −10.8530 | + | 6.92751i | −0.398696 | + | 0.254488i | ||||
\(742\) | 0.0832502 | + | 0.256218i | 0.00305621 | + | 0.00940605i | ||||
\(743\) | 39.8482 | + | 14.5036i | 1.46189 | + | 0.532084i | 0.945885 | − | 0.324501i | \(-0.105196\pi\) |
0.516005 | + | 0.856586i | \(0.327419\pi\) | |||||||
\(744\) | 1.02372 | − | 0.544324i | 0.0375316 | − | 0.0199559i | ||||
\(745\) | 9.27452 | − | 11.5921i | 0.339792 | − | 0.424702i | ||||
\(746\) | −4.45925 | − | 11.0370i | −0.163265 | − | 0.404095i | ||||
\(747\) | −20.0584 | − | 10.6652i | −0.733899 | − | 0.390221i | ||||
\(748\) | −0.483942 | − | 4.60440i | −0.0176947 | − | 0.168354i | ||||
\(749\) | 0.0983216 | + | 0.170298i | 0.00359259 | + | 0.00622255i | ||||
\(750\) | −9.07905 | + | 8.17854i | −0.331520 | + | 0.298638i | ||||
\(751\) | 15.7017 | − | 5.71497i | 0.572965 | − | 0.208542i | −0.0392557 | − | 0.999229i | \(-0.512499\pi\) |
0.612221 | + | 0.790687i | \(0.290276\pi\) | |||||||
\(752\) | −12.3353 | − | 5.49202i | −0.449821 | − | 0.200273i | ||||
\(753\) | 2.09627 | + | 2.32814i | 0.0763922 | + | 0.0848422i | ||||
\(754\) | −11.1021 | − | 5.90308i | −0.404314 | − | 0.214977i | ||||
\(755\) | 29.2624 | + | 33.2645i | 1.06497 | + | 1.21062i | ||||
\(756\) | 0.0670234 | − | 0.165889i | 0.00243762 | − | 0.00603332i | ||||
\(757\) | 6.99543 | + | 39.6731i | 0.254253 | + | 1.44194i | 0.797982 | + | 0.602681i | \(0.205901\pi\) |
−0.543729 | + | 0.839261i | \(0.682988\pi\) | |||||||
\(758\) | −0.602375 | + | 17.2498i | −0.0218793 | + | 0.626540i | ||||
\(759\) | 1.56041 | + | 1.13370i | 0.0566393 | + | 0.0411508i | ||||
\(760\) | −9.72170 | − | 0.698939i | −0.352643 | − | 0.0253532i | ||||
\(761\) | −17.0766 | + | 12.4069i | −0.619027 | + | 0.449749i | −0.852581 | − | 0.522594i | \(-0.824964\pi\) |
0.233555 | + | 0.972344i | \(0.424964\pi\) | |||||||
\(762\) | 4.13961 | + | 6.13722i | 0.149962 | + | 0.222328i | ||||
\(763\) | 0.271498 | − | 0.556653i | 0.00982888 | − | 0.0201522i | ||||
\(764\) | −7.70298 | − | 0.538645i | −0.278684 | − | 0.0194875i | ||||
\(765\) | −27.9457 | + | 12.0571i | −1.01038 | + | 0.435926i | ||||
\(766\) | −9.97781 | + | 9.63546i | −0.360513 | + | 0.348143i | ||||
\(767\) | 3.28159 | + | 0.697524i | 0.118491 | + | 0.0251861i | ||||
\(768\) | 0.546475 | + | 0.946523i | 0.0197192 | + | 0.0341547i | ||||
\(769\) | −0.714011 | − | 0.913892i | −0.0257479 | − | 0.0329558i | 0.774965 | − | 0.632005i | \(-0.217768\pi\) |
−0.800712 | + | 0.599049i | \(0.795545\pi\) | |||||||
\(770\) | −0.0466993 | + | 0.00272347i | −0.00168293 | + | 9.81470e-5i | ||||
\(771\) | −16.7517 | + | 3.56069i | −0.603299 | + | 0.128235i | ||||
\(772\) | −8.54304 | − | 9.48801i | −0.307471 | − | 0.341481i | ||||
\(773\) | −9.19976 | − | 18.8623i | −0.330892 | − | 0.678430i | 0.666878 | − | 0.745167i | \(-0.267630\pi\) |
−0.997771 | + | 0.0667367i | \(0.978741\pi\) | |||||||
\(774\) | −6.79155 | + | 5.69879i | −0.244117 | + | 0.204839i | ||||
\(775\) | −1.75526 | + | 5.00533i | −0.0630508 | + | 0.179797i | ||||
\(776\) | 3.03629 | + | 17.2196i | 0.108996 | + | 0.618149i | ||||
\(777\) | 0.0103445 | − | 0.00296623i | 0.000371105 | − | 0.000106413i | ||||
\(778\) | −9.60540 | + | 29.5624i | −0.344370 | + | 1.05986i | ||||
\(779\) | 23.0030 | − | 40.7408i | 0.824168 | − | 1.45969i | ||||
\(780\) | −6.23237 | + | 2.18714i | −0.223155 | + | 0.0783123i | ||||
\(781\) | −0.302111 | + | 8.65132i | −0.0108104 | + | 0.309568i | ||||
\(782\) | −3.76197 | − | 21.3352i | −0.134528 | − | 0.762945i | ||||
\(783\) | −9.15362 | + | 22.6560i | −0.327124 | + | 0.809660i | ||||
\(784\) | 6.98179 | − | 0.488214i | 0.249350 | − | 0.0174362i | ||||
\(785\) | 9.95770 | + | 1.51704i | 0.355406 | + | 0.0541456i | ||||
\(786\) | −1.18684 | − | 11.2920i | −0.0423331 | − | 0.402773i | ||||
\(787\) | −2.43794 | + | 23.1954i | −0.0869032 | + | 0.826828i | 0.861072 | + | 0.508483i | \(0.169794\pi\) |
−0.947975 | + | 0.318345i | \(0.896873\pi\) | |||||||
\(788\) | 1.78229 | + | 0.511065i | 0.0634916 | + | 0.0182059i | ||||
\(789\) | 16.8864 | − | 25.0351i | 0.601172 | − | 0.891273i | ||||
\(790\) | −0.479232 | − | 0.411657i | −0.0170503 | − | 0.0146461i | ||||
\(791\) | −0.356183 | + | 0.158583i | −0.0126644 | + | 0.00563857i | ||||
\(792\) | 1.09796 | − | 0.154309i | 0.0390144 | − | 0.00548312i | ||||
\(793\) | 18.4471 | − | 15.4790i | 0.655076 | − | 0.549674i | ||||
\(794\) | −4.88633 | + | 12.0941i | −0.173409 | + | 0.429203i | ||||
\(795\) | −17.5644 | − | 8.06473i | −0.622944 | − | 0.286026i | ||||
\(796\) | −11.7610 | + | 15.0534i | −0.416858 | + | 0.533554i | ||||
\(797\) | 16.7178 | − | 51.4522i | 0.592176 | − | 1.82253i | 0.0238657 | − | 0.999715i | \(-0.492403\pi\) |
0.568310 | − | 0.822814i | \(-0.307597\pi\) | |||||||
\(798\) | 0.0697396 | − | 0.146542i | 0.00246876 | − | 0.00518753i | ||||
\(799\) | −101.796 | −3.60128 | ||||||||
\(800\) | −4.77316 | − | 1.48893i | −0.168757 | − | 0.0526416i | ||||
\(801\) | −2.16204 | − | 12.2615i | −0.0763920 | − | 0.433240i | ||||
\(802\) | 18.0135 | + | 1.25962i | 0.636077 | + | 0.0444789i | ||||
\(803\) | −1.80168 | − | 4.45931i | −0.0635798 | − | 0.157366i | ||||
\(804\) | −11.7619 | − | 6.25389i | −0.414809 | − | 0.220558i | ||||
\(805\) | −0.217102 | + | 0.0279564i | −0.00765183 | + | 0.000985335i | ||||
\(806\) | −1.91843 | + | 2.13063i | −0.0675738 | + | 0.0750483i | ||||
\(807\) | 4.49073 | − | 1.63449i | 0.158081 | − | 0.0575369i | ||||
\(808\) | 5.71367 | + | 7.31317i | 0.201006 | + | 0.257276i | ||||
\(809\) | −4.54373 | + | 43.2307i | −0.159749 | + | 1.51991i | 0.561640 | + | 0.827382i | \(0.310171\pi\) |
−0.721389 | + | 0.692530i | \(0.756496\pi\) | |||||||
\(810\) | 0.309986 | + | 0.654666i | 0.0108918 | + | 0.0230026i | ||||
\(811\) | 23.6829 | + | 48.5571i | 0.831618 | + | 1.70507i | 0.700440 | + | 0.713712i | \(0.252987\pi\) |
0.131179 | + | 0.991359i | \(0.458124\pi\) | |||||||
\(812\) | 0.158102 | − | 0.0110556i | 0.00554831 | − | 0.000387976i | ||||
\(813\) | 5.46117 | + | 21.9036i | 0.191532 | + | 0.768192i | ||||
\(814\) | 0.127682 | + | 0.123301i | 0.00447527 | + | 0.00432171i | ||||
\(815\) | −41.2599 | + | 29.2544i | −1.44527 | + | 1.02474i | ||||
\(816\) | 6.66607 | + | 4.84318i | 0.233359 | + | 0.169545i | ||||
\(817\) | −17.1950 | + | 12.7469i | −0.601576 | + | 0.445958i | ||||
\(818\) | 19.8556 | 0.694235 | ||||||||
\(819\) | −0.00580109 | + | 0.166122i | −0.000202707 | + | 0.00580476i | ||||
\(820\) | 16.2648 | − | 17.6493i | 0.567991 | − | 0.616339i | ||||
\(821\) | −28.8582 | + | 18.0326i | −1.00716 | + | 0.629343i | −0.929956 | − | 0.367672i | \(-0.880155\pi\) |
−0.0772043 | + | 0.997015i | \(0.524599\pi\) | |||||||
\(822\) | −7.15239 | − | 17.7028i | −0.249468 | − | 0.617456i | ||||
\(823\) | −12.2751 | − | 25.1678i | −0.427884 | − | 0.877293i | −0.998429 | − | 0.0560266i | \(-0.982157\pi\) |
0.570545 | − | 0.821266i | \(-0.306732\pi\) | |||||||
\(824\) | 1.60546 | − | 2.78074i | 0.0559290 | − | 0.0968718i | ||||
\(825\) | 2.12672 | − | 2.59607i | 0.0740430 | − | 0.0903834i | ||||
\(826\) | −0.0397370 | + | 0.0144631i | −0.00138263 | + | 0.000503235i | ||||
\(827\) | −6.89091 | + | 10.2162i | −0.239620 | + | 0.355252i | −0.929596 | − | 0.368581i | \(-0.879844\pi\) |
0.689975 | + | 0.723833i | \(0.257621\pi\) | |||||||
\(828\) | 5.07488 | − | 1.07870i | 0.176364 | − | 0.0374874i | ||||
\(829\) | −15.7945 | − | 17.5416i | −0.548566 | − | 0.609244i | 0.403559 | − | 0.914954i | \(-0.367773\pi\) |
−0.952125 | + | 0.305710i | \(0.901106\pi\) | |||||||
\(830\) | −20.0119 | − | 19.7774i | −0.694623 | − | 0.686483i | ||||
\(831\) | −13.2843 | − | 8.30092i | −0.460826 | − | 0.287956i | ||||
\(832\) | −2.07034 | − | 1.73722i | −0.0717760 | − | 0.0602273i | ||||
\(833\) | 46.5879 | − | 24.7712i | 1.61417 | − | 0.858271i | ||||
\(834\) | −2.68437 | − | 3.97973i | −0.0929520 | − | 0.137807i | ||||
\(835\) | 16.2521 | − | 5.70341i | 0.562428 | − | 0.197375i | ||||
\(836\) | 2.66841 | − | 0.212359i | 0.0922890 | − | 0.00734458i | ||||
\(837\) | 4.50755 | + | 3.27493i | 0.155804 | + | 0.113198i | ||||
\(838\) | −2.67977 | − | 3.97293i | −0.0925713 | − | 0.137243i | ||||
\(839\) | 3.21384 | + | 3.10357i | 0.110954 | + | 0.107147i | 0.748066 | − | 0.663624i | \(-0.230982\pi\) |
−0.637112 | + | 0.770771i | \(0.719871\pi\) | |||||||
\(840\) | 0.0520108 | − | 0.0650076i | 0.00179454 | − | 0.00224297i | ||||
\(841\) | 7.33676 | − | 0.513036i | 0.252992 | − | 0.0176909i | ||||
\(842\) | 6.46948 | − | 0.909226i | 0.222953 | − | 0.0313340i | ||||
\(843\) | 11.0803 | − | 19.1916i | 0.381626 | − | 0.660995i | ||||
\(844\) | −8.45670 | + | 9.39211i | −0.291092 | + | 0.323290i | ||||
\(845\) | −9.85042 | + | 8.07330i | −0.338865 | + | 0.277730i | ||||
\(846\) | −0.850796 | − | 24.3636i | −0.0292510 | − | 0.837638i | ||||
\(847\) | −0.353966 | + | 0.0752379i | −0.0121624 | + | 0.00258520i | ||||
\(848\) | −0.826650 | − | 7.86505i | −0.0283873 | − | 0.270087i | ||||
\(849\) | −3.69734 | + | 20.9686i | −0.126892 | + | 0.719642i | ||||
\(850\) | −37.4393 | + | 4.38176i | −1.28416 | + | 0.150293i | ||||
\(851\) | 0.636264 | + | 0.533889i | 0.0218108 | + | 0.0183015i | ||||
\(852\) | −11.0824 | − | 10.7022i | −0.379677 | − | 0.366650i | ||||
\(853\) | 10.8597 | − | 13.8998i | 0.371829 | − | 0.475919i | −0.565309 | − | 0.824879i | \(-0.691243\pi\) |
0.937137 | + | 0.348960i | \(0.113465\pi\) | |||||||
\(854\) | −0.0937962 | + | 0.288675i | −0.00320964 | + | 0.00987826i | ||||
\(855\) | −6.56016 | − | 16.3289i | −0.224353 | − | 0.558438i | ||||
\(856\) | −1.78380 | − | 5.48996i | −0.0609689 | − | 0.187643i | ||||
\(857\) | −23.6802 | − | 8.61889i | −0.808900 | − | 0.294416i | −0.0957306 | − | 0.995407i | \(-0.530519\pi\) |
−0.713169 | + | 0.700992i | \(0.752741\pi\) | |||||||
\(858\) | 1.60166 | − | 0.851616i | 0.0546797 | − | 0.0290737i | ||||
\(859\) | −9.26626 | − | 37.1649i | −0.316161 | − | 1.26805i | −0.892577 | − | 0.450895i | \(-0.851105\pi\) |
0.576416 | − | 0.817156i | \(-0.304451\pi\) | |||||||
\(860\) | −10.0819 | + | 4.34982i | −0.343790 | + | 0.148328i | ||||
\(861\) | 0.175186 | + | 0.359185i | 0.00597033 | + | 0.0122410i | ||||
\(862\) | 21.9701 | − | 9.78174i | 0.748306 | − | 0.333167i | ||||
\(863\) | −0.819912 | + | 7.80094i | −0.0279101 | + | 0.265547i | 0.971664 | + | 0.236366i | \(0.0759565\pi\) |
−0.999574 | + | 0.0291809i | \(0.990710\pi\) | |||||||
\(864\) | −2.93695 | + | 4.35421i | −0.0999172 | + | 0.148133i | ||||
\(865\) | −44.2424 | − | 28.3621i | −1.50429 | − | 0.964339i | ||||
\(866\) | 4.12469 | − | 39.2438i | 0.140163 | − | 1.33356i | ||||
\(867\) | 42.5873 | + | 9.05222i | 1.44634 | + | 0.307430i | ||||
\(868\) | 0.00627529 | − | 0.0355889i | 0.000212997 | − | 0.00120797i | ||||
\(869\) | 0.147142 | + | 0.0919446i | 0.00499145 | + | 0.00311901i | ||||
\(870\) | −7.10329 | + | 8.87831i | −0.240824 | + | 0.301003i | ||||
\(871\) | 32.6197 | + | 4.58440i | 1.10528 | + | 0.155337i | ||||
\(872\) | −11.1931 | + | 14.3265i | −0.379046 | + | 0.485157i | ||||
\(873\) | −25.5398 | + | 18.5558i | −0.864392 | + | 0.628018i | ||||
\(874\) | 12.3867 | − | 1.86229i | 0.418987 | − | 0.0629930i | ||||
\(875\) | 0.0266539 | + | 0.379931i | 0.000901068 | + | 0.0128440i | ||||
\(876\) | 8.04342 | + | 2.92757i | 0.271762 | + | 0.0989133i | ||||
\(877\) | −15.2335 | − | 14.7108i | −0.514400 | − | 0.496750i | 0.391538 | − | 0.920162i | \(-0.371943\pi\) |
−0.905937 | + | 0.423412i | \(0.860832\pi\) | |||||||
\(878\) | −24.4125 | + | 15.2546i | −0.823881 | + | 0.514818i | ||||
\(879\) | −1.72201 | − | 4.26213i | −0.0580821 | − | 0.143758i | ||||
\(880\) | 1.35753 | + | 0.206818i | 0.0457623 | + | 0.00697184i | ||||
\(881\) | 8.71338 | + | 1.85209i | 0.293561 | + | 0.0623983i | 0.352338 | − | 0.935873i | \(-0.385387\pi\) |
−0.0587769 | + | 0.998271i | \(0.518720\pi\) | |||||||
\(882\) | 6.31806 | + | 10.9432i | 0.212740 | + | 0.368477i | ||||
\(883\) | 17.9344 | + | 22.9550i | 0.603541 | + | 0.772497i | 0.988628 | − | 0.150383i | \(-0.0480508\pi\) |
−0.385087 | + | 0.922880i | \(0.625829\pi\) | |||||||
\(884\) | −19.5858 | − | 5.61613i | −0.658741 | − | 0.188891i | ||||
\(885\) | 1.16890 | − | 2.79951i | 0.0392921 | − | 0.0941046i | ||||
\(886\) | −3.33251 | − | 31.7067i | −0.111958 | − | 1.06521i | ||||
\(887\) | −23.0952 | + | 22.3028i | −0.775461 | + | 0.748854i | −0.972841 | − | 0.231473i | \(-0.925645\pi\) |
0.197381 | + | 0.980327i | \(0.436757\pi\) | |||||||
\(888\) | −0.315131 | + | 0.0220361i | −0.0105751 | + | 0.000739483i | ||||
\(889\) | 0.230173 | + | 0.0160952i | 0.00771974 | + | 0.000539817i | ||||
\(890\) | 1.78902 | − | 15.3161i | 0.0599682 | − | 0.513397i | ||||
\(891\) | −0.111242 | − | 0.164924i | −0.00372676 | − | 0.00552515i | ||||
\(892\) | 5.14069 | + | 15.8214i | 0.172123 | + | 0.529741i | ||||
\(893\) | 1.48919 | − | 58.8378i | 0.0498339 | − | 1.96893i | ||||
\(894\) | −2.24232 | − | 6.90115i | −0.0749944 | − | 0.230809i | ||||
\(895\) | −37.2899 | − | 27.7569i | −1.24646 | − | 0.927812i | ||||
\(896\) | 0.0337341 | + | 0.00474101i | 0.00112698 | + | 0.000158386i | ||||
\(897\) | 7.19849 | − | 4.49812i | 0.240351 | − | 0.150188i | ||||
\(898\) | 3.62651 | − | 14.5451i | 0.121018 | − | 0.485377i | ||||
\(899\) | −0.857038 | + | 4.86050i | −0.0285838 | + | 0.162107i | ||||
\(900\) | −1.36163 | − | 8.92402i | −0.0453878 | − | 0.297467i | ||||
\(901\) | −29.8105 | − | 51.6333i | −0.993131 | − | 1.72015i | ||||
\(902\) | −3.68596 | + | 5.46465i | −0.122729 | + | 0.181953i | ||||
\(903\) | −0.00638062 | − | 0.182717i | −0.000212334 | − | 0.00608044i | ||||
\(904\) | 11.1952 | − | 2.37961i | 0.372347 | − | 0.0791448i | ||||
\(905\) | −3.60199 | + | 19.1319i | −0.119734 | + | 0.635966i | ||||
\(906\) | 21.4441 | − | 3.01377i | 0.712433 | − | 0.100126i | ||||
\(907\) | −8.34689 | + | 7.00388i | −0.277154 | + | 0.232560i | −0.770760 | − | 0.637126i | \(-0.780123\pi\) |
0.493606 | + | 0.869686i | \(0.335679\pi\) | |||||||
\(908\) | −3.98964 | + | 9.87471i | −0.132401 | + | 0.327704i | ||||
\(909\) | −7.34519 | + | 15.0599i | −0.243625 | + | 0.499505i | ||||
\(910\) | −0.0658756 | + | 0.195043i | −0.00218376 | + | 0.00646562i | ||||
\(911\) | −34.7781 | + | 25.2678i | −1.15225 | + | 0.837159i | −0.988778 | − | 0.149389i | \(-0.952269\pi\) |
−0.163472 | + | 0.986548i | \(0.552269\pi\) | |||||||
\(912\) | −2.89687 | + | 3.78212i | −0.0959249 | + | 0.125239i | ||||
\(913\) | 6.25142 | + | 4.54192i | 0.206892 | + | 0.150316i | ||||
\(914\) | 25.7418 | − | 7.38136i | 0.851465 | − | 0.244154i | ||||
\(915\) | −10.6691 | − | 18.9829i | −0.352711 | − | 0.627556i | ||||
\(916\) | 2.75783 | + | 11.0610i | 0.0911211 | + | 0.365467i | ||||
\(917\) | −0.300119 | − | 0.187535i | −0.00991079 | − | 0.00619295i | ||||
\(918\) | −6.87571 | + | 38.9941i | −0.226932 | + | 1.28700i | ||||
\(919\) | 27.7689 | + | 5.90246i | 0.916011 | + | 0.194704i | 0.641717 | − | 0.766942i | \(-0.278223\pi\) |
0.274294 | + | 0.961646i | \(0.411556\pi\) | |||||||
\(920\) | 6.40441 | + | 0.522300i | 0.211147 | + | 0.0172197i | ||||
\(921\) | 0.370004 | + | 10.5955i | 0.0121921 | + | 0.349135i | ||||
\(922\) | 0.596346 | + | 17.0771i | 0.0196396 | + | 0.562405i | ||||
\(923\) | 34.8030 | + | 15.4953i | 1.14556 | + | 0.510034i | ||||
\(924\) | −0.0114323 | + | 0.0198013i | −0.000376095 | + | 0.000651415i | ||||
\(925\) | 0.991579 | − | 1.05133i | 0.0326029 | − | 0.0345675i | ||||
\(926\) | −12.2597 | + | 10.2871i | −0.402880 | + | 0.338056i | ||||
\(927\) | 5.78308 | + | 0.404392i | 0.189941 | + | 0.0132820i | ||||
\(928\) | −4.60718 | − | 0.647496i | −0.151238 | − | 0.0212551i | ||||
\(929\) | 18.6487 | − | 23.8693i | 0.611845 | − | 0.783126i | −0.377919 | − | 0.925839i | \(-0.623360\pi\) |
0.989764 | + | 0.142713i | \(0.0455824\pi\) | |||||||
\(930\) | 1.57243 | + | 2.06130i | 0.0515621 | + | 0.0675927i | ||||
\(931\) | 13.6362 | + | 27.2900i | 0.446907 | + | 0.894395i | ||||
\(932\) | 15.8496 | 0.519170 | ||||||||
\(933\) | 1.16769 | − | 33.4383i | 0.0382285 | − | 1.09472i | ||||
\(934\) | −6.31030 | + | 12.9380i | −0.206479 | + | 0.423345i | ||||
\(935\) | 9.98375 | − | 2.73830i | 0.326504 | − | 0.0895520i | ||||
\(936\) | 1.18046 | − | 4.73455i | 0.0385844 | − | 0.154754i | ||||
\(937\) | −20.9916 | + | 20.2714i | −0.685766 | + | 0.662237i | −0.953547 | − | 0.301243i | \(-0.902599\pi\) |
0.267781 | + | 0.963480i | \(0.413710\pi\) | |||||||
\(938\) | −0.379303 | + | 0.168877i | −0.0123847 | + | 0.00551402i | ||||
\(939\) | −3.82911 | − | 1.70483i | −0.124958 | − | 0.0556350i | ||||
\(940\) | 7.64247 | − | 29.2096i | 0.249270 | − | 0.952711i | ||||
\(941\) | 3.33351 | + | 0.955868i | 0.108669 | + | 0.0311604i | 0.329531 | − | 0.944145i | \(-0.393109\pi\) |
−0.220862 | + | 0.975305i | \(0.570887\pi\) | |||||||
\(942\) | 3.29434 | − | 3.65873i | 0.107335 | − | 0.119208i | ||||
\(943\) | −15.4221 | + | 26.7119i | −0.502214 | + | 0.869860i | ||||
\(944\) | 1.22927 | − | 0.172762i | 0.0400092 | − | 0.00562293i | ||||
\(945\) | 0.390340 | + | 0.0876973i | 0.0126978 | + | 0.00285279i | ||||
\(946\) | 2.55738 | − | 1.59803i | 0.0831475 | − | 0.0519563i | ||||
\(947\) | −29.4987 | − | 4.14577i | −0.958578 | − | 0.134719i | −0.357503 | − | 0.933912i | \(-0.616372\pi\) |
−0.601075 | + | 0.799193i | \(0.705261\pi\) | |||||||
\(948\) | −0.296833 | + | 0.0851154i | −0.00964067 | + | 0.00276442i | ||||
\(949\) | −21.1661 | −0.687082 | ||||||||
\(950\) | −1.98494 | − | 21.7039i | −0.0644000 | − | 0.704168i | ||||
\(951\) | −3.07307 | −0.0996510 | ||||||||
\(952\) | 0.246871 | − | 0.0707890i | 0.00800112 | − | 0.00229428i | ||||
\(953\) | 45.2444 | + | 6.35868i | 1.46561 | + | 0.205978i | 0.826413 | − | 0.563065i | \(-0.190378\pi\) |
0.639197 | + | 0.769043i | \(0.279267\pi\) | |||||||
\(954\) | 12.1086 | − | 7.56632i | 0.392032 | − | 0.244969i | ||||
\(955\) | −1.60621 | − | 17.1916i | −0.0519759 | − | 0.556307i | ||||
\(956\) | −14.4203 | + | 2.02664i | −0.466386 | + | 0.0655463i | ||||
\(957\) | 1.56135 | − | 2.70433i | 0.0504712 | − | 0.0874187i | ||||
\(958\) | −24.8808 | + | 27.6329i | −0.803861 | + | 0.892779i | ||||
\(959\) | −0.572049 | − | 0.164032i | −0.0184724 | − | 0.00529688i | ||||
\(960\) | −1.89018 | + | 1.54917i | −0.0610053 | + | 0.0499992i | ||||
\(961\) | −27.2918 | − | 12.1511i | −0.880382 | − | 0.391971i | ||||
\(962\) | 0.713620 | − | 0.317724i | 0.0230080 | − | 0.0102438i | ||||
\(963\) | 7.49695 | − | 7.23972i | 0.241586 | − | 0.233297i | ||||
\(964\) | 5.42279 | − | 21.7496i | 0.174656 | − | 0.700508i | ||||
\(965\) | 17.8352 | − | 22.2920i | 0.574136 | − | 0.717606i | ||||
\(966\) | −0.0469020 | + | 0.0961634i | −0.00150905 | + | 0.00309401i | ||||
\(967\) | −1.13641 | + | 32.5425i | −0.0365445 | + | 1.04650i | 0.833193 | + | 0.552983i | \(0.186510\pi\) |
−0.869737 | + | 0.493515i | \(0.835712\pi\) | |||||||
\(968\) | 10.6229 | 0.341432 | ||||||||
\(969\) | −8.35388 | + | 34.9310i | −0.268365 | + | 1.12215i | ||||
\(970\) | −36.8925 | + | 12.9468i | −1.18455 | + | 0.415696i | ||||
\(971\) | −13.8774 | + | 17.7622i | −0.445346 | + | 0.570017i | −0.957337 | − | 0.288974i | \(-0.906686\pi\) |
0.511991 | + | 0.858991i | \(0.328908\pi\) | |||||||
\(972\) | −15.2524 | − | 2.14359i | −0.489222 | − | 0.0687557i | ||||
\(973\) | −0.149257 | − | 0.0104371i | −0.00478498 | − | 0.000334598i | ||||
\(974\) | 8.90430 | − | 7.47160i | 0.285312 | − | 0.239405i | ||||
\(975\) | −7.08695 | − | 12.9578i | −0.226964 | − | 0.414982i | ||||
\(976\) | 4.45510 | − | 7.71645i | 0.142604 | − | 0.246998i | ||||
\(977\) | 27.8973 | + | 12.4207i | 0.892512 | + | 0.397372i | 0.801163 | − | 0.598447i | \(-0.204215\pi\) |
0.0913498 | + | 0.995819i | \(0.470882\pi\) | |||||||
\(978\) | 0.862783 | + | 24.7069i | 0.0275887 | + | 0.790038i | ||||
\(979\) | 0.147799 | + | 4.23242i | 0.00472368 | + | 0.135269i | ||||
\(980\) | 3.61026 | + | 15.2278i | 0.115326 | + | 0.486433i | ||||
\(981\) | −32.1071 | − | 6.82457i | −1.02510 | − | 0.217892i | ||||
\(982\) | −4.55424 | + | 25.8284i | −0.145332 | + | 0.824216i | ||||
\(983\) | −39.6067 | − | 24.7490i | −1.26326 | − | 0.789371i | −0.278022 | − | 0.960575i | \(-0.589679\pi\) |
−0.985236 | + | 0.171204i | \(0.945234\pi\) | |||||||
\(984\) | −2.83803 | − | 11.3827i | −0.0904731 | − | 0.362868i | ||||
\(985\) | −0.481003 | + | 4.11794i | −0.0153260 | + | 0.131208i | ||||
\(986\) | −33.7160 | + | 9.66790i | −1.07373 | + | 0.307889i | ||||
\(987\) | 0.406717 | + | 0.295497i | 0.0129460 | + | 0.00940578i | ||||
\(988\) | 3.53263 | − | 11.2384i | 0.112388 | − | 0.357540i | ||||
\(989\) | 11.4161 | − | 8.29429i | 0.363011 | − | 0.263743i | ||||
\(990\) | 0.738822 | + | 2.36660i | 0.0234813 | + | 0.0752156i | ||||
\(991\) | 13.0072 | − | 26.6688i | 0.413188 | − | 0.847161i | −0.586129 | − | 0.810218i | \(-0.699349\pi\) |
0.999317 | − | 0.0369437i | \(-0.0117622\pi\) | |||||||
\(992\) | −0.397396 | + | 0.983589i | −0.0126173 | + | 0.0312290i | ||||
\(993\) | −10.4369 | + | 8.75759i | −0.331205 | + | 0.277914i | ||||
\(994\) | −0.475520 | + | 0.0668299i | −0.0150826 | + | 0.00211972i | ||||
\(995\) | −37.4814 | − | 20.4884i | −1.18824 | − | 0.649527i | ||||
\(996\) | −13.4517 | + | 2.85926i | −0.426235 | + | 0.0905990i | ||||
\(997\) | 1.07513 | + | 30.7876i | 0.0340496 | + | 0.975052i | 0.889435 | + | 0.457061i | \(0.151098\pi\) |
−0.855386 | + | 0.517991i | \(0.826680\pi\) | |||||||
\(998\) | 21.3619 | − | 31.6702i | 0.676198 | − | 1.00250i | ||||
\(999\) | −0.759024 | − | 1.31467i | −0.0240144 | − | 0.0415942i |
(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 | 950.2.bc.b.61.7 | ✓ | 600 | |
19.5 | even | 9 | inner | 950.2.bc.b.461.19 | yes | 600 | |
25.16 | even | 5 | inner | 950.2.bc.b.441.19 | yes | 600 | |
475.366 | even | 45 | inner | 950.2.bc.b.841.7 | yes | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bc.b.61.7 | ✓ | 600 | 1.1 | even | 1 | trivial | |
950.2.bc.b.441.19 | yes | 600 | 25.16 | even | 5 | inner | |
950.2.bc.b.461.19 | yes | 600 | 19.5 | even | 9 | inner | |
950.2.bc.b.841.7 | yes | 600 | 475.366 | even | 45 | inner |