Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), 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: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 47 x^{12} + 32 x^{11} + 171 x^{10} + 26 x^{9} + 360 x^{8} - 172 x^{7} + 471 x^{6} - 430 x^{5} + 383 x^{4} + 70 x^{3} + 17 x^{2} + 4 x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 136.2 | ||
Root | \(0.0698401 + 0.214946i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.136 |
Dual form | 495.2.n.g.91.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.991861 | − | 0.720629i | −0.701351 | − | 0.509562i | 0.179021 | − | 0.983845i | \(-0.442707\pi\) |
−0.880372 | + | 0.474284i | \(0.842707\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.153553 | − | 0.472586i | −0.0767763 | − | 0.236293i | ||||
\(5\) | −0.809017 | + | 0.587785i | −0.361803 | + | 0.262866i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.139581 | − | 0.429587i | −0.0527568 | − | 0.162369i | 0.921207 | − | 0.389073i | \(-0.127205\pi\) |
−0.973964 | + | 0.226705i | \(0.927205\pi\) | |||||||
\(8\) | −0.945971 | + | 2.91140i | −0.334451 | + | 1.02933i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.22601 | 0.387698 | ||||||||
\(11\) | 1.55234 | + | 2.93091i | 0.468048 | + | 0.883703i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.91592 | + | 2.84508i | 1.08608 | + | 0.789084i | 0.978733 | − | 0.205138i | \(-0.0657643\pi\) |
0.107348 | + | 0.994222i | \(0.465764\pi\) | |||||||
\(14\) | −0.171128 | + | 0.526677i | −0.0457358 | + | 0.140760i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.23230 | − | 1.62186i | 0.558074 | − | 0.405465i | ||||
\(17\) | 0.598736 | − | 0.435007i | 0.145215 | − | 0.105505i | −0.512806 | − | 0.858505i | \(-0.671394\pi\) |
0.658021 | + | 0.753000i | \(0.271394\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.10247 | − | 6.47075i | 0.482340 | − | 1.48449i | −0.353456 | − | 0.935451i | \(-0.614993\pi\) |
0.835796 | − | 0.549040i | \(-0.185007\pi\) | |||||||
\(20\) | 0.402006 | + | 0.292074i | 0.0898912 | + | 0.0653098i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.572395 | − | 4.02572i | 0.122035 | − | 0.858286i | ||||
\(23\) | 0.00634166 | 0.00132233 | 0.000661164 | − | 1.00000i | \(-0.499790\pi\) | ||||
0.000661164 | 1.00000i | \(0.499790\pi\) | ||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.309017 | − | 0.951057i | 0.0618034 | − | 0.190211i | ||||
\(26\) | −1.83380 | − | 5.64385i | −0.359637 | − | 1.10685i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.181584 | + | 0.131928i | −0.0343162 | + | 0.0249321i | ||||
\(29\) | 0.100091 | + | 0.308048i | 0.0185864 | + | 0.0572030i | 0.959920 | − | 0.280276i | \(-0.0904259\pi\) |
−0.941333 | + | 0.337479i | \(0.890426\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.53521 | + | 3.29503i | 0.814548 | + | 0.591804i | 0.915146 | − | 0.403123i | \(-0.132075\pi\) |
−0.100597 | + | 0.994927i | \(0.532075\pi\) | |||||||
\(32\) | 2.73956 | 0.484291 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.907341 | −0.155608 | ||||||||
\(35\) | 0.365429 | + | 0.265500i | 0.0617688 | + | 0.0448776i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.27713 | + | 7.00828i | 0.374358 | + | 1.15215i | 0.943911 | + | 0.330200i | \(0.107116\pi\) |
−0.569553 | + | 0.821954i | \(0.692884\pi\) | |||||||
\(38\) | −6.74837 | + | 4.90298i | −1.09473 | + | 0.795368i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.945971 | − | 2.91140i | −0.149571 | − | 0.460332i | ||||
\(41\) | 3.39006 | − | 10.4335i | 0.529438 | − | 1.62944i | −0.225931 | − | 0.974143i | \(-0.572543\pi\) |
0.755369 | − | 0.655299i | \(-0.227457\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.80668 | −0.275516 | −0.137758 | − | 0.990466i | \(-0.543990\pi\) | ||||
−0.137758 | + | 0.990466i | \(0.543990\pi\) | |||||||
\(44\) | 1.14674 | − | 1.18366i | 0.172878 | − | 0.178444i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.00629004 | − | 0.00456998i | −0.000927416 | − | 0.000673807i | ||||
\(47\) | 0.518988 | − | 1.59728i | 0.0757022 | − | 0.232987i | −0.906044 | − | 0.423184i | \(-0.860912\pi\) |
0.981746 | + | 0.190196i | \(0.0609125\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.49806 | − | 3.99457i | 0.785437 | − | 0.570653i | ||||
\(50\) | −0.991861 | + | 0.720629i | −0.140270 | + | 0.101912i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.743247 | − | 2.28748i | 0.103070 | − | 0.317216i | ||||
\(53\) | 6.98948 | + | 5.07816i | 0.960079 | + | 0.697539i | 0.953169 | − | 0.302438i | \(-0.0978004\pi\) |
0.00691024 | + | 0.999976i | \(0.497800\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.97862 | − | 1.45871i | −0.401636 | − | 0.196693i | ||||
\(56\) | 1.38274 | 0.184776 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.122712 | − | 0.377669i | 0.0161129 | − | 0.0495903i | ||||
\(59\) | 0.463691 | + | 1.42709i | 0.0603674 | + | 0.185792i | 0.976692 | − | 0.214643i | \(-0.0688589\pi\) |
−0.916325 | + | 0.400435i | \(0.868859\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.5540 | + | 7.66790i | −1.35130 | + | 0.981774i | −0.352350 | + | 0.935868i | \(0.614617\pi\) |
−0.998946 | + | 0.0459057i | \(0.985383\pi\) | |||||||
\(62\) | −2.12381 | − | 6.53641i | −0.269724 | − | 0.830125i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.18186 | − | 5.21793i | −0.897733 | − | 0.652241i | ||||
\(65\) | −4.84034 | −0.600371 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.60773 | 1.17377 | 0.586885 | − | 0.809670i | \(-0.300354\pi\) | ||||
0.586885 | + | 0.809670i | \(0.300354\pi\) | |||||||
\(68\) | −0.297516 | − | 0.216158i | −0.0360791 | − | 0.0262130i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.171128 | − | 0.526677i | −0.0204537 | − | 0.0629500i | ||||
\(71\) | 9.23296 | − | 6.70814i | 1.09575 | − | 0.796110i | 0.115390 | − | 0.993320i | \(-0.463188\pi\) |
0.980361 | + | 0.197211i | \(0.0631883\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.16430 | + | 9.73870i | 0.370353 | + | 1.13983i | 0.946561 | + | 0.322526i | \(0.104532\pi\) |
−0.576208 | + | 0.817303i | \(0.695468\pi\) | |||||||
\(74\) | 2.79178 | − | 8.59220i | 0.324537 | − | 0.998823i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.38083 | −0.387807 | ||||||||
\(77\) | 1.04241 | − | 1.07597i | 0.118793 | − | 0.122618i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.69866 | + | 1.23415i | 0.191114 | + | 0.138852i | 0.679228 | − | 0.733928i | \(-0.262315\pi\) |
−0.488114 | + | 0.872780i | \(0.662315\pi\) | |||||||
\(80\) | −0.852662 | + | 2.62422i | −0.0953305 | + | 0.293397i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.8812 | + | 7.90563i | −1.20162 | + | 0.873030i | ||||
\(83\) | −12.8589 | + | 9.34255i | −1.41145 | + | 1.02548i | −0.418339 | + | 0.908291i | \(0.637388\pi\) |
−0.993110 | + | 0.117187i | \(0.962612\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.228697 | + | 0.703856i | −0.0248056 | + | 0.0763439i | ||||
\(86\) | 1.79197 | + | 1.30194i | 0.193233 | + | 0.140392i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −10.0015 | + | 1.74692i | −1.06617 | + | 0.186223i | ||||
\(89\) | 9.36925 | 0.993138 | 0.496569 | − | 0.867997i | \(-0.334593\pi\) | ||||
0.496569 | + | 0.867997i | \(0.334593\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.675622 | − | 2.07935i | 0.0708244 | − | 0.217975i | ||||
\(92\) | −0.000973778 | − | 0.00299698i | −0.000101523 | − | 0.000312457i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.66581 | + | 1.21028i | −0.171815 | + | 0.124831i | ||||
\(95\) | 2.10247 | + | 6.47075i | 0.215709 | + | 0.663885i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.75689 | − | 3.45608i | −0.482989 | − | 0.350912i | 0.319493 | − | 0.947589i | \(-0.396487\pi\) |
−0.802482 | + | 0.596677i | \(0.796487\pi\) | |||||||
\(98\) | −8.33191 | −0.841650 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.496906 | −0.0496906 | ||||||||
\(101\) | −1.78628 | − | 1.29781i | −0.177742 | − | 0.129137i | 0.495357 | − | 0.868689i | \(-0.335037\pi\) |
−0.673099 | + | 0.739552i | \(0.735037\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.99111 | + | 9.20568i | 0.294723 | + | 0.907063i | 0.983314 | + | 0.181914i | \(0.0582292\pi\) |
−0.688592 | + | 0.725149i | \(0.741771\pi\) | |||||||
\(104\) | −11.9875 | + | 8.70944i | −1.17547 | + | 0.854031i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.27313 | − | 10.0736i | −0.317914 | − | 0.978439i | ||||
\(107\) | 3.63294 | − | 11.1810i | 0.351210 | − | 1.08091i | −0.606965 | − | 0.794729i | \(-0.707613\pi\) |
0.958175 | − | 0.286184i | \(-0.0923869\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.5091 | −1.19816 | −0.599078 | − | 0.800691i | \(-0.704466\pi\) | ||||
−0.599078 | + | 0.800691i | \(0.704466\pi\) | |||||||
\(110\) | 1.90318 | + | 3.59332i | 0.181461 | + | 0.342609i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.00832 | − | 0.732586i | −0.0952771 | − | 0.0692228i | ||||
\(113\) | −3.06115 | + | 9.42124i | −0.287968 | + | 0.886276i | 0.697525 | + | 0.716561i | \(0.254285\pi\) |
−0.985493 | + | 0.169715i | \(0.945715\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.00513051 | + | 0.00372753i | −0.000478422 | + | 0.000347594i | ||||
\(116\) | 0.130210 | − | 0.0946030i | 0.0120897 | − | 0.00878367i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.568489 | − | 1.74963i | 0.0523336 | − | 0.161066i | ||||
\(119\) | −0.270446 | − | 0.196491i | −0.0247917 | − | 0.0180123i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.18048 | + | 9.09954i | −0.561862 | + | 0.827231i | ||||
\(122\) | 15.9938 | 1.44801 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.860790 | − | 2.64924i | 0.0773012 | − | 0.237909i | ||||
\(125\) | 0.309017 | + | 0.951057i | 0.0276393 | + | 0.0850651i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.454312 | − | 0.330077i | 0.0403137 | − | 0.0292896i | −0.567446 | − | 0.823411i | \(-0.692068\pi\) |
0.607760 | + | 0.794121i | \(0.292068\pi\) | |||||||
\(128\) | 1.67007 | + | 5.13995i | 0.147615 | + | 0.454312i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.80095 | + | 3.48809i | 0.421071 | + | 0.305926i | ||||
\(131\) | −3.03500 | −0.265170 | −0.132585 | − | 0.991172i | \(-0.542328\pi\) | ||||
−0.132585 | + | 0.991172i | \(0.542328\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.07322 | −0.266482 | ||||||||
\(134\) | −9.52953 | − | 6.92361i | −0.823226 | − | 0.598108i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.700092 | + | 2.15466i | 0.0600324 | + | 0.184761i | ||||
\(137\) | −16.7469 | + | 12.1674i | −1.43079 | + | 1.03953i | −0.440918 | + | 0.897547i | \(0.645347\pi\) |
−0.989869 | + | 0.141981i | \(0.954653\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.09662 | + | 3.37504i | 0.0930139 | + | 0.286267i | 0.986731 | − | 0.162364i | \(-0.0519117\pi\) |
−0.893717 | + | 0.448631i | \(0.851912\pi\) | |||||||
\(140\) | 0.0693589 | − | 0.213465i | 0.00586190 | − | 0.0180411i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −13.9919 | −1.17417 | ||||||||
\(143\) | −2.25985 | + | 15.8937i | −0.188978 | + | 1.32910i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.262041 | − | 0.190384i | −0.0217613 | − | 0.0158105i | ||||
\(146\) | 3.87945 | − | 11.9397i | 0.321065 | − | 0.988138i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.96236 | − | 2.15228i | 0.243504 | − | 0.176916i | ||||
\(149\) | 5.10052 | − | 3.70575i | 0.417851 | − | 0.303587i | −0.358921 | − | 0.933368i | \(-0.616855\pi\) |
0.776773 | + | 0.629781i | \(0.216855\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.13852 | + | 3.50400i | −0.0926512 | + | 0.285151i | −0.986634 | − | 0.162949i | \(-0.947899\pi\) |
0.893983 | + | 0.448100i | \(0.147899\pi\) | |||||||
\(152\) | 16.8500 | + | 12.2423i | 1.36672 | + | 0.992980i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.80929 | + | 0.316022i | −0.145797 | + | 0.0254657i | ||||
\(155\) | −5.60583 | −0.450271 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.874113 | − | 2.69024i | 0.0697618 | − | 0.214705i | −0.910097 | − | 0.414394i | \(-0.863993\pi\) |
0.979859 | + | 0.199690i | \(0.0639934\pi\) | |||||||
\(158\) | −0.795469 | − | 2.44820i | −0.0632841 | − | 0.194768i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.21635 | + | 1.61028i | −0.175218 | + | 0.127303i | ||||
\(161\) | −0.000885178 | − | 0.00272430i | −6.97618e−5 | − | 0.000214705i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.16094 | − | 5.20273i | −0.560888 | − | 0.407509i | 0.270896 | − | 0.962609i | \(-0.412680\pi\) |
−0.831784 | + | 0.555099i | \(0.812680\pi\) | |||||||
\(164\) | −5.45129 | −0.425674 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 19.4868 | 1.51247 | ||||||||
\(167\) | −15.9249 | − | 11.5701i | −1.23230 | − | 0.895320i | −0.235241 | − | 0.971937i | \(-0.575588\pi\) |
−0.997061 | + | 0.0766171i | \(0.975588\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.22271 | + | 9.91849i | 0.247901 | + | 0.762961i | ||||
\(170\) | 0.734054 | − | 0.533322i | 0.0562994 | − | 0.0409039i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.277420 | + | 0.853811i | 0.0211531 | + | 0.0651025i | ||||
\(173\) | 0.899661 | − | 2.76887i | 0.0684000 | − | 0.210513i | −0.911014 | − | 0.412375i | \(-0.864699\pi\) |
0.979414 | + | 0.201862i | \(0.0646992\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.451695 | −0.0341449 | ||||||||
\(176\) | 8.21881 | + | 4.02499i | 0.619516 | + | 0.303395i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.29299 | − | 6.75175i | −0.696539 | − | 0.506065i | ||||
\(179\) | −1.94467 | + | 5.98508i | −0.145352 | + | 0.447346i | −0.997056 | − | 0.0766763i | \(-0.975569\pi\) |
0.851704 | + | 0.524022i | \(0.175569\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.03200 | − | 6.56213i | 0.671343 | − | 0.487759i | −0.199131 | − | 0.979973i | \(-0.563812\pi\) |
0.870475 | + | 0.492213i | \(0.163812\pi\) | |||||||
\(182\) | −2.16856 | + | 1.57555i | −0.160745 | + | 0.116788i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.00599902 | + | 0.0184631i | −0.000442254 | + | 0.00136112i | ||||
\(185\) | −5.96160 | − | 4.33136i | −0.438306 | − | 0.318448i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.20441 | + | 1.07956i | 0.161202 | + | 0.0789455i | ||||
\(188\) | −0.834545 | −0.0608655 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.57765 | − | 7.93318i | 0.187002 | − | 0.575534i | ||||
\(191\) | −6.30228 | − | 19.3964i | −0.456017 | − | 1.40348i | −0.869937 | − | 0.493163i | \(-0.835841\pi\) |
0.413920 | − | 0.910313i | \(-0.364159\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.40629 | − | 1.74827i | 0.173208 | − | 0.125843i | −0.497804 | − | 0.867290i | \(-0.665860\pi\) |
0.671012 | + | 0.741447i | \(0.265860\pi\) | |||||||
\(194\) | 2.22762 | + | 6.85590i | 0.159934 | + | 0.492225i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.73202 | − | 1.98493i | −0.195144 | − | 0.141781i | ||||
\(197\) | 5.20127 | 0.370575 | 0.185288 | − | 0.982684i | \(-0.440678\pi\) | ||||
0.185288 | + | 0.982684i | \(0.440678\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.10264 | 0.574381 | 0.287191 | − | 0.957873i | \(-0.407279\pi\) | ||||
0.287191 | + | 0.957873i | \(0.407279\pi\) | |||||||
\(200\) | 2.47658 | + | 1.79934i | 0.175121 | + | 0.127233i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.836505 | + | 2.57450i | 0.0588563 | + | 0.181141i | ||||
\(203\) | 0.118363 | − | 0.0859955i | 0.00830743 | − | 0.00603570i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.39006 | + | 10.4335i | 0.236772 | + | 0.728709i | ||||
\(206\) | 3.66712 | − | 11.2862i | 0.255500 | − | 0.786349i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.3558 | 0.926059 | ||||||||
\(209\) | 22.2289 | − | 3.88264i | 1.53761 | − | 0.268568i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.06252 | + | 0.771967i | 0.0731470 | + | 0.0531444i | 0.623758 | − | 0.781618i | \(-0.285605\pi\) |
−0.550611 | + | 0.834762i | \(0.685605\pi\) | |||||||
\(212\) | 1.32661 | − | 4.08290i | 0.0911122 | − | 0.280415i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.6608 | + | 8.47204i | −0.797113 | + | 0.579137i | ||||
\(215\) | 1.46163 | − | 1.06194i | 0.0996826 | − | 0.0724236i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.782470 | − | 2.40820i | 0.0531175 | − | 0.163479i | ||||
\(218\) | 12.4073 | + | 9.01443i | 0.840328 | + | 0.610534i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.231994 | + | 1.63164i | −0.0156411 | + | 0.110005i | ||||
\(221\) | 3.58223 | 0.240967 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.84861 | − | 27.2332i | 0.592547 | − | 1.82367i | 0.0259701 | − | 0.999663i | \(-0.491733\pi\) |
0.566577 | − | 0.824009i | \(-0.308267\pi\) | |||||||
\(224\) | −0.382392 | − | 1.17688i | −0.0255497 | − | 0.0786338i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.82545 | − | 7.13861i | 0.653579 | − | 0.474853i | ||||
\(227\) | −2.43074 | − | 7.48104i | −0.161334 | − | 0.496534i | 0.837414 | − | 0.546570i | \(-0.184067\pi\) |
−0.998747 | + | 0.0500354i | \(0.984067\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.0664 | + | 9.49331i | 0.863453 | + | 0.627336i | 0.928822 | − | 0.370526i | \(-0.120822\pi\) |
−0.0653689 | + | 0.997861i | \(0.520822\pi\) | |||||||
\(230\) | 0.00777492 | 0.000512663 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.991532 | −0.0650973 | ||||||||
\(233\) | −14.9138 | − | 10.8355i | −0.977035 | − | 0.709858i | −0.0199914 | − | 0.999800i | \(-0.506364\pi\) |
−0.957044 | + | 0.289942i | \(0.906364\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.518988 | + | 1.59728i | 0.0338551 | + | 0.104195i | ||||
\(236\) | 0.603224 | − | 0.438268i | 0.0392665 | − | 0.0285288i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.126648 | + | 0.389782i | 0.00820937 | + | 0.0252658i | ||||
\(239\) | 6.91081 | − | 21.2693i | 0.447023 | − | 1.37579i | −0.433227 | − | 0.901285i | \(-0.642625\pi\) |
0.880250 | − | 0.474510i | \(-0.157375\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.2213 | −0.851662 | −0.425831 | − | 0.904803i | \(-0.640018\pi\) | ||||
−0.425831 | + | 0.904803i | \(0.640018\pi\) | |||||||
\(242\) | 12.6876 | − | 4.57164i | 0.815588 | − | 0.293876i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.24433 | + | 3.81023i | 0.335734 | + | 0.243925i | ||||
\(245\) | −2.10007 | + | 6.46335i | −0.134169 | + | 0.412928i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 26.6429 | − | 19.3572i | 1.69525 | − | 1.23167i | ||||
\(248\) | −13.8833 | + | 10.0868i | −0.881591 | + | 0.640513i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.378857 | − | 1.16600i | 0.0239610 | − | 0.0737444i | ||||
\(251\) | 16.9919 | + | 12.3454i | 1.07252 | + | 0.779232i | 0.976364 | − | 0.216134i | \(-0.0693450\pi\) |
0.0961569 | + | 0.995366i | \(0.469345\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.00984441 | + | 0.0185868i | 0.000618913 | + | 0.00116854i | ||||
\(254\) | −0.688477 | −0.0431989 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.43893 | + | 10.5839i | −0.214933 | + | 0.661497i | ||||
\(257\) | −1.04068 | − | 3.20289i | −0.0649160 | − | 0.199791i | 0.913338 | − | 0.407203i | \(-0.133496\pi\) |
−0.978254 | + | 0.207412i | \(0.933496\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.69283 | − | 1.95645i | 0.167324 | − | 0.121568i | ||||
\(260\) | 0.743247 | + | 2.28748i | 0.0460942 | + | 0.141863i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.01030 | + | 2.18711i | 0.185977 | + | 0.135120i | ||||
\(263\) | 21.0450 | 1.29769 | 0.648845 | − | 0.760920i | \(-0.275252\pi\) | ||||
0.648845 | + | 0.760920i | \(0.275252\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.63948 | −0.530719 | ||||||||
\(266\) | 3.04820 | + | 2.21465i | 0.186897 | + | 0.135789i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.47529 | − | 4.54048i | −0.0901177 | − | 0.277354i | ||||
\(269\) | −18.9161 | + | 13.7434i | −1.15334 | + | 0.837947i | −0.988921 | − | 0.148444i | \(-0.952573\pi\) |
−0.164415 | + | 0.986391i | \(0.552573\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.34951 | − | 19.5418i | −0.385705 | − | 1.18708i | −0.935967 | − | 0.352087i | \(-0.885472\pi\) |
0.550262 | − | 0.834992i | \(-0.314528\pi\) | |||||||
\(272\) | 0.631036 | − | 1.94213i | 0.0382622 | − | 0.117759i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 25.3788 | 1.53319 | ||||||||
\(275\) | 3.26716 | − | 0.570661i | 0.197017 | − | 0.0344122i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.8420 | + | 11.5099i | 0.951856 | + | 0.691564i | 0.951245 | − | 0.308436i | \(-0.0998055\pi\) |
0.000611096 | 1.00000i | \(0.499805\pi\) | ||||||||
\(278\) | 1.34446 | − | 4.13783i | 0.0806354 | − | 0.248170i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.11866 | + | 0.812754i | −0.0668527 | + | 0.0485714i | ||||
\(281\) | −11.1585 | + | 8.10711i | −0.665659 | + | 0.483630i | −0.868569 | − | 0.495567i | \(-0.834960\pi\) |
0.202910 | + | 0.979197i | \(0.434960\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.73949 | − | 29.9751i | 0.578953 | − | 1.78183i | −0.0433533 | − | 0.999060i | \(-0.513804\pi\) |
0.622306 | − | 0.782774i | \(-0.286196\pi\) | |||||||
\(284\) | −4.58792 | − | 3.33332i | −0.272243 | − | 0.197796i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 13.6949 | − | 14.1359i | 0.809799 | − | 0.835872i | ||||
\(287\) | −4.95530 | −0.292502 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.08404 | + | 15.6471i | −0.299061 | + | 0.920415i | ||||
\(290\) | 0.122712 | + | 0.377669i | 0.00720589 | + | 0.0221775i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.11649 | − | 2.99080i | 0.240899 | − | 0.175024i | ||||
\(293\) | −7.20413 | − | 22.1720i | −0.420870 | − | 1.29530i | −0.906894 | − | 0.421359i | \(-0.861553\pi\) |
0.486024 | − | 0.873945i | \(-0.338447\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.21396 | − | 0.881993i | −0.0706794 | − | 0.0513516i | ||||
\(296\) | −22.5580 | −1.31116 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.72948 | −0.447757 | ||||||||
\(299\) | 0.0248334 | + | 0.0180425i | 0.00143615 | + | 0.00104343i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.252179 | + | 0.776126i | 0.0145353 | + | 0.0447352i | ||||
\(302\) | 3.65433 | − | 2.65503i | 0.210283 | − | 0.152780i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.80129 | − | 17.8545i | −0.332727 | − | 1.02403i | ||||
\(305\) | 4.03125 | − | 12.4069i | 0.230829 | − | 0.710418i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.0938 | −0.576083 | −0.288042 | − | 0.957618i | \(-0.593004\pi\) | ||||
−0.288042 | + | 0.957618i | \(0.593004\pi\) | |||||||
\(308\) | −0.668551 | − | 0.327409i | −0.0380942 | − | 0.0186558i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.56020 | + | 4.03972i | 0.315798 | + | 0.229441i | ||||
\(311\) | −4.11778 | + | 12.6732i | −0.233498 | + | 0.718632i | 0.763819 | + | 0.645430i | \(0.223322\pi\) |
−0.997317 | + | 0.0732020i | \(0.976678\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −18.7435 | + | 13.6180i | −1.05945 | + | 0.769732i | −0.973986 | − | 0.226609i | \(-0.927236\pi\) |
−0.0854599 | + | 0.996342i | \(0.527236\pi\) | |||||||
\(314\) | −2.80566 | + | 2.03843i | −0.158333 | + | 0.115036i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.322407 | − | 0.992267i | 0.0181368 | − | 0.0558194i | ||||
\(317\) | −5.60802 | − | 4.07446i | −0.314978 | − | 0.228845i | 0.419052 | − | 0.907962i | \(-0.362363\pi\) |
−0.734029 | + | 0.679118i | \(0.762363\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.747485 | + | 0.771552i | −0.0418512 | + | 0.0431986i | ||||
\(320\) | 8.87727 | 0.496254 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.00108523 | + | 0.00334001i | −6.04777e−5 | + | 0.000186131i | ||||
\(323\) | −1.55599 | − | 4.78886i | −0.0865779 | − | 0.266459i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.91592 | − | 2.84508i | 0.217216 | − | 0.157817i | ||||
\(326\) | 3.35342 | + | 10.3208i | 0.185729 | + | 0.571614i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 27.1692 | + | 19.7396i | 1.50017 | + | 1.08994i | ||||
\(329\) | −0.758613 | −0.0418237 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.5717 | −0.581075 | −0.290538 | − | 0.956864i | \(-0.593834\pi\) | ||||
−0.290538 | + | 0.956864i | \(0.593834\pi\) | |||||||
\(332\) | 6.38968 | + | 4.64237i | 0.350679 | + | 0.254783i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.45750 | + | 22.9518i | 0.408056 | + | 1.25587i | ||||
\(335\) | −7.77281 | + | 5.64728i | −0.424674 | + | 0.308544i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.96123 | − | 6.03605i | −0.106835 | − | 0.328805i | 0.883322 | − | 0.468767i | \(-0.155302\pi\) |
−0.990157 | + | 0.139963i | \(0.955302\pi\) | |||||||
\(338\) | 3.95107 | − | 12.1601i | 0.214910 | − | 0.661424i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.367750 | 0.0199440 | ||||||||
\(341\) | −2.61724 | + | 18.4073i | −0.141731 | + | 0.996811i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.04145 | − | 3.66283i | −0.272213 | − | 0.197774i | ||||
\(344\) | 1.70906 | − | 5.25996i | 0.0921466 | − | 0.283598i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.88767 | + | 2.09801i | −0.155242 | + | 0.112790i | ||||
\(347\) | −20.4210 | + | 14.8367i | −1.09626 | + | 0.796477i | −0.980445 | − | 0.196794i | \(-0.936947\pi\) |
−0.115811 | + | 0.993271i | \(0.536947\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.43118 | + | 10.5601i | −0.183667 | + | 0.565269i | −0.999923 | − | 0.0124217i | \(-0.996046\pi\) |
0.816256 | + | 0.577691i | \(0.196046\pi\) | |||||||
\(350\) | 0.448019 | + | 0.325504i | 0.0239476 | + | 0.0173989i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.25273 | + | 8.02942i | 0.226672 | + | 0.427970i | ||||
\(353\) | 18.8552 | 1.00356 | 0.501780 | − | 0.864996i | \(-0.332679\pi\) | ||||
0.501780 | + | 0.864996i | \(0.332679\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.52668 | + | 10.8540i | −0.187177 | + | 0.576070i | ||||
\(356\) | −1.43867 | − | 4.42778i | −0.0762494 | − | 0.234672i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.24187 | − | 4.53498i | 0.329893 | − | 0.239681i | ||||
\(359\) | 6.57983 | + | 20.2506i | 0.347270 | + | 1.06879i | 0.960357 | + | 0.278773i | \(0.0899276\pi\) |
−0.613087 | + | 0.790016i | \(0.710072\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −22.0789 | − | 16.0412i | −1.16205 | − | 0.844275i | ||||
\(362\) | −13.6873 | −0.719391 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.08642 | −0.0569437 | ||||||||
\(365\) | −8.28423 | − | 6.01885i | −0.433617 | − | 0.315041i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.66781 | − | 29.7545i | −0.504656 | − | 1.55317i | −0.801349 | − | 0.598197i | \(-0.795884\pi\) |
0.296693 | − | 0.954973i | \(-0.404116\pi\) | |||||||
\(368\) | 0.0141565 | − | 0.0102853i | 0.000737957 | − | 0.000536157i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.79178 | + | 8.59220i | 0.145138 | + | 0.446687i | ||||
\(371\) | 1.20591 | − | 3.71141i | 0.0626078 | − | 0.192687i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.39368 | 0.486386 | 0.243193 | − | 0.969978i | \(-0.421805\pi\) | ||||
0.243193 | + | 0.969978i | \(0.421805\pi\) | |||||||
\(374\) | −1.40850 | − | 2.65934i | −0.0728319 | − | 0.137511i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.15938 | + | 3.02196i | 0.214503 | + | 0.155846i | ||||
\(377\) | −0.484473 | + | 1.49106i | −0.0249517 | + | 0.0767933i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.63173 | − | 4.81823i | 0.340649 | − | 0.247496i | −0.404287 | − | 0.914632i | \(-0.632480\pi\) |
0.744936 | + | 0.667136i | \(0.232480\pi\) | |||||||
\(380\) | 2.73515 | − | 1.98720i | 0.140310 | − | 0.101941i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.72664 | + | 23.7802i | −0.395329 | + | 1.21670i | ||||
\(383\) | 27.2501 | + | 19.7984i | 1.39242 | + | 1.01165i | 0.995596 | + | 0.0937524i | \(0.0298862\pi\) |
0.396820 | + | 0.917897i | \(0.370114\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.210886 | + | 1.48319i | −0.0107478 | + | 0.0755901i | ||||
\(386\) | −3.64656 | −0.185605 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.902863 | + | 2.77873i | −0.0458359 | + | 0.141069i | ||||
\(389\) | 10.1771 | + | 31.3219i | 0.515999 | + | 1.58808i | 0.781456 | + | 0.623960i | \(0.214477\pi\) |
−0.265457 | + | 0.964123i | \(0.585523\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.00379698 | − | 0.00275867i | 0.000192021 | − | 0.000139512i | ||||
\(392\) | 6.42879 | + | 19.7858i | 0.324703 | + | 0.999333i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.15894 | − | 3.74819i | −0.259904 | − | 0.188831i | ||||
\(395\) | −2.09965 | −0.105645 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.3865 | −0.772228 | −0.386114 | − | 0.922451i | \(-0.626183\pi\) | ||||
−0.386114 | + | 0.922451i | \(0.626183\pi\) | |||||||
\(398\) | −8.03669 | − | 5.83900i | −0.402843 | − | 0.292683i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.852662 | − | 2.62422i | −0.0426331 | − | 0.131211i | ||||
\(401\) | −5.37426 | + | 3.90463i | −0.268378 | + | 0.194988i | −0.713832 | − | 0.700317i | \(-0.753042\pi\) |
0.445455 | + | 0.895305i | \(0.353042\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.38491 | + | 25.8061i | 0.417682 | + | 1.28549i | ||||
\(404\) | −0.339039 | + | 1.04346i | −0.0168678 | + | 0.0519138i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.179370 | −0.00890198 | ||||||||
\(407\) | −17.0058 | + | 17.5533i | −0.842945 | + | 0.870085i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −19.8088 | − | 14.3919i | −0.979482 | − | 0.711636i | −0.0218895 | − | 0.999760i | \(-0.506968\pi\) |
−0.957593 | + | 0.288125i | \(0.906968\pi\) | |||||||
\(410\) | 4.15623 | − | 12.7916i | 0.205262 | − | 0.631731i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 3.89119 | − | 2.82711i | 0.191705 | − | 0.139282i | ||||
\(413\) | 0.548339 | − | 0.398392i | 0.0269820 | − | 0.0196036i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.91167 | − | 15.1166i | 0.241104 | − | 0.742043i | ||||
\(416\) | 10.7279 | + | 7.79428i | 0.525979 | + | 0.382146i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −24.8459 | − | 12.1678i | −1.21526 | − | 0.595146i | ||||
\(419\) | 20.8656 | 1.01935 | 0.509676 | − | 0.860367i | \(-0.329765\pi\) | ||||
0.509676 | + | 0.860367i | \(0.329765\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.23200 | + | 16.1025i | −0.254992 | + | 0.784785i | 0.738839 | + | 0.673882i | \(0.235374\pi\) |
−0.993831 | + | 0.110903i | \(0.964626\pi\) | |||||||
\(422\) | −0.497571 | − | 1.53137i | −0.0242214 | − | 0.0745458i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −21.3964 | + | 15.5454i | −1.03910 | + | 0.754951i | ||||
\(425\) | −0.228697 | − | 0.703856i | −0.0110934 | − | 0.0341420i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.76717 | + | 3.46355i | 0.230700 | + | 0.167613i | ||||
\(428\) | −5.84186 | −0.282377 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.21500 | −0.106817 | ||||||||
\(431\) | −21.1677 | − | 15.3792i | −1.01961 | − | 0.740791i | −0.0534080 | − | 0.998573i | \(-0.517008\pi\) |
−0.966203 | + | 0.257782i | \(0.917008\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.74375 | − | 23.8328i | −0.372141 | − | 1.14533i | −0.945387 | − | 0.325949i | \(-0.894316\pi\) |
0.573246 | − | 0.819383i | \(-0.305684\pi\) | |||||||
\(434\) | −2.51152 | + | 1.82472i | −0.120557 | + | 0.0875895i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.92081 | + | 5.91163i | 0.0919899 | + | 0.283116i | ||||
\(437\) | 0.0133332 | − | 0.0410353i | 0.000637812 | − | 0.00196298i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.11234 | 0.243999 | 0.121999 | − | 0.992530i | \(-0.461069\pi\) | ||||
0.121999 | + | 0.992530i | \(0.461069\pi\) | |||||||
\(440\) | 7.06458 | − | 7.29203i | 0.336791 | − | 0.347634i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.55307 | − | 2.58146i | −0.169003 | − | 0.122788i | ||||
\(443\) | 8.67635 | − | 26.7031i | 0.412226 | − | 1.26870i | −0.502483 | − | 0.864587i | \(-0.667580\pi\) |
0.914709 | − | 0.404113i | \(-0.132420\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.57988 | + | 5.50711i | −0.359321 | + | 0.261062i | ||||
\(446\) | −28.4016 | + | 20.6350i | −1.34486 | + | 0.977096i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.23910 | + | 3.81356i | −0.0585421 | + | 0.180174i | ||||
\(449\) | −29.9297 | − | 21.7452i | −1.41247 | − | 1.02622i | −0.992958 | − | 0.118467i | \(-0.962202\pi\) |
−0.419510 | − | 0.907751i | \(-0.637798\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 35.8422 | − | 6.26041i | 1.68775 | − | 0.294791i | ||||
\(452\) | 4.92239 | 0.231530 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.98010 | + | 9.17181i | −0.139863 | + | 0.430454i | ||||
\(455\) | 0.675622 | + | 2.07935i | 0.0316736 | + | 0.0974815i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −29.8092 | + | 21.6576i | −1.39441 | + | 1.01310i | −0.399050 | + | 0.916929i | \(0.630660\pi\) |
−0.995365 | + | 0.0961719i | \(0.969340\pi\) | |||||||
\(458\) | −6.11891 | − | 18.8321i | −0.285918 | − | 0.879965i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.00254938 | + | 0.00185224i | 0.000118866 | + | 8.63609e-5i | ||||
\(461\) | 23.0013 | 1.07128 | 0.535640 | − | 0.844447i | \(-0.320071\pi\) | ||||
0.535640 | + | 0.844447i | \(0.320071\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −36.1571 | −1.68036 | −0.840181 | − | 0.542306i | \(-0.817551\pi\) | ||||
−0.840181 | + | 0.542306i | \(0.817551\pi\) | |||||||
\(464\) | 0.723042 | + | 0.525321i | 0.0335664 | + | 0.0243874i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.98403 | + | 21.4946i | 0.323529 | + | 0.995720i | ||||
\(467\) | 1.83240 | − | 1.33132i | 0.0847935 | − | 0.0616061i | −0.544581 | − | 0.838708i | \(-0.683311\pi\) |
0.629374 | + | 0.777102i | \(0.283311\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.34106 | − | 4.12736i | −0.0619244 | − | 0.190584i | ||||
\(470\) | 0.636283 | − | 1.95828i | 0.0293496 | − | 0.0903287i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.59348 | −0.211432 | ||||||||
\(473\) | −2.80458 | − | 5.29521i | −0.128955 | − | 0.243474i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.50435 | − | 3.99914i | −0.252557 | − | 0.183493i | ||||
\(476\) | −0.0513310 | + | 0.157981i | −0.00235275 | + | 0.00724103i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −22.1818 | + | 16.1160i | −1.01457 | + | 0.737130i | ||||
\(479\) | 24.7000 | − | 17.9456i | 1.12857 | − | 0.819954i | 0.143084 | − | 0.989711i | \(-0.454298\pi\) |
0.985486 | + | 0.169756i | \(0.0542981\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.0221 | + | 33.9225i | −0.502564 | + | 1.54673i | ||||
\(482\) | 13.1137 | + | 9.52768i | 0.597314 | + | 0.433974i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.24935 | + | 1.52355i | 0.238607 | + | 0.0692524i | ||||
\(485\) | 5.87983 | 0.266989 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.99195 | + | 15.3636i | −0.226207 | + | 0.696193i | 0.771960 | + | 0.635671i | \(0.219277\pi\) |
−0.998167 | + | 0.0605221i | \(0.980723\pi\) | |||||||
\(488\) | −12.3406 | − | 37.9804i | −0.558632 | − | 1.71929i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.74066 | − | 4.89737i | 0.304512 | − | 0.221241i | ||||
\(491\) | −3.60828 | − | 11.1051i | −0.162839 | − | 0.501168i | 0.836031 | − | 0.548682i | \(-0.184870\pi\) |
−0.998871 | + | 0.0475137i | \(0.984870\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.193931 | + | 0.140899i | 0.00873420 | + | 0.00634577i | ||||
\(494\) | −40.3754 | −1.81658 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 15.4680 | 0.694534 | ||||||||
\(497\) | −4.17048 | − | 3.03003i | −0.187072 | − | 0.135916i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.6501 | − | 38.9330i | −0.566296 | − | 1.74288i | −0.664068 | − | 0.747672i | \(-0.731171\pi\) |
0.0977712 | − | 0.995209i | \(-0.468829\pi\) | |||||||
\(500\) | 0.402006 | − | 0.292074i | 0.0179782 | − | 0.0130620i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.95720 | − | 24.4897i | −0.355147 | − | 1.09303i | ||||
\(503\) | −0.131171 | + | 0.403703i | −0.00584863 | + | 0.0180002i | −0.953938 | − | 0.300003i | \(-0.903012\pi\) |
0.948090 | + | 0.318003i | \(0.103012\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.20797 | 0.0982533 | ||||||||
\(506\) | 0.00362993 | − | 0.0255297i | 0.000161370 | − | 0.00113493i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.225751 | − | 0.164017i | −0.0100161 | − | 0.00727710i | ||||
\(509\) | −6.12017 | + | 18.8360i | −0.271272 | + | 0.834889i | 0.718910 | + | 0.695103i | \(0.244641\pi\) |
−0.990182 | + | 0.139786i | \(0.955359\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.74195 | − | 2.71868i | 0.165534 | − | 0.120267i | ||||
\(512\) | 19.7827 | − | 14.3729i | 0.874278 | − | 0.635200i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.27588 | + | 3.92677i | −0.0562769 | + | 0.173202i | ||||
\(515\) | −7.83082 | − | 5.68943i | −0.345067 | − | 0.250706i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.48714 | − | 0.958415i | 0.241324 | − | 0.0421510i | ||||
\(518\) | −4.08078 | −0.179299 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.57882 | − | 14.0922i | 0.200795 | − | 0.617982i | ||||
\(521\) | 11.3748 | + | 35.0079i | 0.498337 | + | 1.53372i | 0.811690 | + | 0.584088i | \(0.198548\pi\) |
−0.313353 | + | 0.949637i | \(0.601452\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.49589 | − | 6.17262i | 0.371499 | − | 0.269910i | −0.386333 | − | 0.922359i | \(-0.626258\pi\) |
0.757832 | + | 0.652449i | \(0.226258\pi\) | |||||||
\(524\) | 0.466033 | + | 1.43430i | 0.0203587 | + | 0.0626577i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −20.8737 | − | 15.1656i | −0.910137 | − | 0.661253i | ||||
\(527\) | 4.14875 | 0.180723 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −23.0000 | −0.999998 | ||||||||
\(530\) | 8.56916 | + | 6.22586i | 0.372220 | + | 0.270434i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.471900 | + | 1.45236i | 0.0204595 | + | 0.0629678i | ||||
\(533\) | 42.9594 | − | 31.2118i | 1.86078 | − | 1.35193i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.63294 | + | 11.1810i | 0.157066 | + | 0.483399i | ||||
\(536\) | −9.08863 | + | 27.9719i | −0.392569 | + | 1.20820i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 28.6660 | 1.23588 | ||||||||
\(539\) | 20.2426 | + | 9.91338i | 0.871910 | + | 0.427000i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.529593 | − | 0.384772i | −0.0227690 | − | 0.0165426i | 0.576343 | − | 0.817208i | \(-0.304479\pi\) |
−0.599112 | + | 0.800666i | \(0.704479\pi\) | |||||||
\(542\) | −7.78454 | + | 23.9584i | −0.334375 | + | 1.02910i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.64028 | − | 1.19173i | 0.0703262 | − | 0.0510950i | ||||
\(545\) | 10.1201 | − | 7.35267i | 0.433497 | − | 0.314954i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.14573 | + | 12.7592i | −0.177259 | + | 0.545546i | −0.999729 | − | 0.0232616i | \(-0.992595\pi\) |
0.822471 | + | 0.568807i | \(0.192595\pi\) | |||||||
\(548\) | 8.32166 | + | 6.04604i | 0.355484 | + | 0.258274i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.65180 | − | 1.78839i | −0.155713 | − | 0.0762574i | ||||
\(551\) | 2.20374 | 0.0938823 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.293073 | − | 0.901985i | 0.0124627 | − | 0.0383563i | ||||
\(554\) | −7.41872 | − | 22.8325i | −0.315191 | − | 0.970059i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.42661 | − | 1.03649i | 0.0605017 | − | 0.0439571i | ||||
\(557\) | −4.09205 | − | 12.5940i | −0.173386 | − | 0.533626i | 0.826171 | − | 0.563420i | \(-0.190515\pi\) |
−0.999556 | + | 0.0297943i | \(0.990515\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.07481 | − | 5.14015i | −0.299232 | − | 0.217405i | ||||
\(560\) | 1.24635 | 0.0526679 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 16.9099 | 0.713300 | ||||||||
\(563\) | 17.2822 | + | 12.5562i | 0.728356 | + | 0.529182i | 0.889043 | − | 0.457824i | \(-0.151371\pi\) |
−0.160687 | + | 0.987005i | \(0.551371\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.06115 | − | 9.42124i | −0.128783 | − | 0.396355i | ||||
\(566\) | −31.2611 | + | 22.7125i | −1.31400 | + | 0.954679i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.7960 | + | 33.2265i | 0.452988 | + | 1.39415i | ||||
\(569\) | 14.0100 | − | 43.1185i | 0.587332 | − | 1.80762i | −0.00236662 | − | 0.999997i | \(-0.500753\pi\) |
0.589698 | − | 0.807624i | \(-0.299247\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −25.1544 | −1.05268 | −0.526339 | − | 0.850275i | \(-0.676436\pi\) | ||||
−0.526339 | + | 0.850275i | \(0.676436\pi\) | |||||||
\(572\) | 7.85817 | − | 1.37255i | 0.328567 | − | 0.0573893i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.91497 | + | 3.57093i | 0.205147 | + | 0.149048i | ||||
\(575\) | 0.00195968 | − | 0.00603127i | 8.17243e−5 | − | 0.000251522i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.16999 | + | 4.48276i | −0.256860 | + | 0.186620i | −0.708762 | − | 0.705448i | \(-0.750746\pi\) |
0.451902 | + | 0.892068i | \(0.350746\pi\) | |||||||
\(578\) | 16.3184 | − | 11.8560i | 0.678755 | − | 0.493144i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0497357 | + | 0.153071i | −0.00206516 | + | 0.00635592i | ||||
\(581\) | 5.80831 | + | 4.21998i | 0.240969 | + | 0.175074i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.03358 | + | 28.3686i | −0.167054 | + | 1.17491i | ||||
\(584\) | −31.3466 | −1.29713 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.83232 | + | 27.1831i | −0.364860 | + | 1.12292i | ||||
\(587\) | −2.43760 | − | 7.50217i | −0.100611 | − | 0.309648i | 0.888065 | − | 0.459719i | \(-0.152050\pi\) |
−0.988675 | + | 0.150071i | \(0.952050\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 30.8564 | − | 22.4185i | 1.27142 | − | 0.923739i | ||||
\(590\) | 0.568489 | + | 1.74963i | 0.0234043 | + | 0.0720310i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 16.4497 | + | 11.9514i | 0.676077 | + | 0.491199i | ||||
\(593\) | 8.68507 | 0.356653 | 0.178327 | − | 0.983971i | \(-0.442932\pi\) | ||||
0.178327 | + | 0.983971i | \(0.442932\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.334290 | 0.0137045 | ||||||||
\(596\) | −2.53448 | − | 1.84141i | −0.103816 | − | 0.0754271i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.0116293 | − | 0.0357914i | −0.000475558 | − | 0.00146362i | ||||
\(599\) | −11.3275 | + | 8.22991i | −0.462829 | + | 0.336265i | −0.794640 | − | 0.607081i | \(-0.792340\pi\) |
0.331811 | + | 0.943346i | \(0.392340\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.18091 | − | 9.78983i | −0.129752 | − | 0.399335i | 0.864985 | − | 0.501798i | \(-0.167328\pi\) |
−0.994737 | + | 0.102462i | \(0.967328\pi\) | |||||||
\(602\) | 0.309173 | − | 0.951537i | 0.0126010 | − | 0.0387817i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.83076 | 0.0744927 | ||||||||
\(605\) | −0.348460 | − | 10.9945i | −0.0141669 | − | 0.446989i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.2282 | − | 16.1497i | −0.902214 | − | 0.655497i | 0.0368195 | − | 0.999322i | \(-0.488277\pi\) |
−0.939034 | + | 0.343825i | \(0.888277\pi\) | |||||||
\(608\) | 5.75986 | − | 17.7270i | 0.233593 | − | 0.718926i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −12.9392 | + | 9.40090i | −0.523894 | + | 0.380631i | ||||
\(611\) | 6.57671 | − | 4.77826i | 0.266065 | − | 0.193308i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.35530 | + | 10.3266i | −0.135519 | + | 0.417086i | −0.995670 | − | 0.0929536i | \(-0.970369\pi\) |
0.860151 | + | 0.510039i | \(0.170369\pi\) | |||||||
\(614\) | 10.0116 | + | 7.27388i | 0.404037 | + | 0.293550i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.14648 | + | 4.05269i | 0.0864842 | + | 0.163287i | ||||
\(617\) | −18.2404 | −0.734330 | −0.367165 | − | 0.930156i | \(-0.619671\pi\) | ||||
−0.367165 | + | 0.930156i | \(0.619671\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.08144 | − | 18.7167i | 0.244434 | − | 0.752289i | −0.751295 | − | 0.659966i | \(-0.770571\pi\) |
0.995729 | − | 0.0923233i | \(-0.0294293\pi\) | |||||||
\(620\) | 0.860790 | + | 2.64924i | 0.0345701 | + | 0.106396i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 13.2169 | − | 9.60267i | 0.529951 | − | 0.385032i | ||||
\(623\) | −1.30777 | − | 4.02491i | −0.0523948 | − | 0.161255i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | 28.4044 | 1.13527 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.40559 | −0.0560893 | ||||||||
\(629\) | 4.41205 | + | 3.20554i | 0.175920 | + | 0.127813i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.40181 | − | 28.9358i | −0.374280 | − | 1.15192i | −0.943963 | − | 0.330051i | \(-0.892934\pi\) |
0.569683 | − | 0.821865i | \(-0.307066\pi\) | |||||||
\(632\) | −5.19997 | + | 3.77800i | −0.206844 | + | 0.150281i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.62619 | + | 8.08260i | 0.104300 | + | 0.321001i | ||||
\(635\) | −0.173532 | + | 0.534076i | −0.00688640 | + | 0.0211942i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 32.8948 | 1.30334 | ||||||||
\(638\) | 1.29740 | − | 0.226612i | 0.0513647 | − | 0.00897166i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.37230 | − | 3.17666i | −0.172830 | − | 0.125569i | ||||
\(641\) | −11.5427 | + | 35.5247i | −0.455908 | + | 1.40314i | 0.414159 | + | 0.910205i | \(0.364076\pi\) |
−0.870066 | + | 0.492935i | \(0.835924\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.861554 | + | 0.625956i | −0.0339764 | + | 0.0246853i | −0.604644 | − | 0.796496i | \(-0.706685\pi\) |
0.570667 | + | 0.821181i | \(0.306685\pi\) | |||||||
\(644\) | −0.00115154 | 0.000836645i | −4.53772e−5 | 3.29684e-5i | ||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.90766 | + | 5.87118i | −0.0750559 | + | 0.230998i | ||||
\(647\) | −12.7864 | − | 9.28987i | −0.502686 | − | 0.365223i | 0.307356 | − | 0.951595i | \(-0.400556\pi\) |
−0.810042 | + | 0.586372i | \(0.800556\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.46288 | + | 3.57437i | −0.135930 | + | 0.140306i | ||||
\(650\) | −5.93429 | −0.232762 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.35916 | + | 4.18305i | −0.0532287 | + | 0.163821i | ||||
\(653\) | −10.9241 | − | 33.6210i | −0.427495 | − | 1.31569i | −0.900585 | − | 0.434679i | \(-0.856862\pi\) |
0.473091 | − | 0.881014i | \(-0.343138\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.45537 | − | 1.78393i | 0.0959393 | − | 0.0697040i | ||||
\(656\) | −9.35409 | − | 28.7889i | −0.365216 | − | 1.12402i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.752439 | + | 0.546679i | 0.0293331 | + | 0.0213118i | ||||
\(659\) | 28.4474 | 1.10815 | 0.554077 | − | 0.832465i | \(-0.313071\pi\) | ||||
0.554077 | + | 0.832465i | \(0.313071\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 39.5989 | 1.54022 | 0.770110 | − | 0.637911i | \(-0.220201\pi\) | ||||
0.770110 | + | 0.637911i | \(0.220201\pi\) | |||||||
\(662\) | 10.4857 | + | 7.61830i | 0.407538 | + | 0.296094i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.0357 | − | 46.2752i | −0.583499 | − | 1.79583i | ||||
\(665\) | 2.48629 | − | 1.80639i | 0.0964140 | − | 0.0700489i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.000634741 | 0.00195353i | 2.45773e−5 | 7.56411e-5i | ||||||
\(668\) | −3.02256 | + | 9.30248i | −0.116946 | + | 0.359924i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.7791 | 0.455068 | ||||||||
\(671\) | −38.8573 | − | 19.0295i | −1.50007 | − | 0.734627i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.2080 | + | 10.3227i | 0.547679 | + | 0.397912i | 0.826929 | − | 0.562306i | \(-0.190086\pi\) |
−0.279250 | + | 0.960218i | \(0.590086\pi\) | |||||||
\(674\) | −2.40448 | + | 7.40024i | −0.0926173 | + | 0.285047i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.19248 | − | 3.04602i | 0.161249 | − | 0.117155i | ||||
\(677\) | −36.4616 | + | 26.4909i | −1.40133 | + | 1.01813i | −0.406819 | + | 0.913509i | \(0.633362\pi\) |
−0.994512 | + | 0.104619i | \(0.966638\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.820716 | + | 2.52590i | −0.0314962 | + | 0.0969353i | ||||
\(680\) | −1.83287 | − | 1.33165i | −0.0702872 | − | 0.0510666i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 15.8608 | − | 16.3714i | 0.607340 | − | 0.626894i | ||||
\(683\) | −15.7677 | −0.603334 | −0.301667 | − | 0.953413i | \(-0.597543\pi\) | ||||
−0.301667 | + | 0.953413i | \(0.597543\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.39676 | − | 19.6872i | 0.244408 | − | 0.752210i | ||||
\(686\) | 2.36087 | + | 7.26603i | 0.0901386 | + | 0.277418i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.03304 | + | 2.93018i | −0.153758 | + | 0.111712i | ||||
\(689\) | 12.9225 | + | 39.7713i | 0.492307 | + | 1.51517i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.39970 | − | 1.74348i | −0.0912889 | − | 0.0663253i | 0.541205 | − | 0.840891i | \(-0.317968\pi\) |
−0.632493 | + | 0.774566i | \(0.717968\pi\) | |||||||
\(692\) | −1.44668 | −0.0549944 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.9465 | 1.17471 | ||||||||
\(695\) | −2.87098 | − | 2.08589i | −0.108903 | − | 0.0791224i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.50891 | − | 7.72162i | −0.0950316 | − | 0.292477i | ||||
\(698\) | 11.0132 | − | 8.00153i | 0.416854 | − | 0.302862i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.0693589 | + | 0.213465i | 0.00262152 | + | 0.00806821i | ||||
\(701\) | −11.4738 | + | 35.3128i | −0.433360 | + | 1.33375i | 0.461397 | + | 0.887194i | \(0.347348\pi\) |
−0.894757 | + | 0.446553i | \(0.852652\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 50.1364 | 1.89093 | ||||||||
\(704\) | 4.14459 | − | 29.1494i | 0.156205 | − | 1.09861i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18.7017 | − | 13.5876i | −0.703848 | − | 0.511375i | ||||
\(707\) | −0.308191 | + | 0.948516i | −0.0115907 | + | 0.0356726i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.6867 | − | 18.6625i | 0.964683 | − | 0.700883i | 0.0104495 | − | 0.999945i | \(-0.496674\pi\) |
0.954234 | + | 0.299062i | \(0.0966738\pi\) | |||||||
\(710\) | 11.3197 | − | 8.22423i | 0.424820 | − | 0.308650i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.86303 | + | 27.2776i | −0.332156 | + | 1.02227i | ||||
\(713\) | 0.0287608 | + | 0.0208959i | 0.00107710 | + | 0.000782558i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.51386 | − | 14.1866i | −0.281002 | − | 0.530549i | ||||
\(716\) | 3.12708 | 0.116864 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.06692 | − | 24.8274i | 0.301055 | − | 0.926552i | ||||
\(719\) | 9.85059 | + | 30.3170i | 0.367365 | + | 1.13063i | 0.948487 | + | 0.316816i | \(0.102614\pi\) |
−0.581122 | + | 0.813816i | \(0.697386\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.53714 | − | 2.56989i | 0.131730 | − | 0.0957075i | ||||
\(722\) | 10.3394 | + | 31.8213i | 0.384792 | + | 1.18427i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.48806 | − | 3.26077i | −0.166797 | − | 0.121185i | ||||
\(725\) | 0.323900 | 0.0120294 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 41.4129 | 1.53592 | 0.767959 | − | 0.640499i | \(-0.221272\pi\) | ||||
0.767959 | + | 0.640499i | \(0.221272\pi\) | |||||||
\(728\) | 5.41470 | + | 3.93401i | 0.200682 | + | 0.145804i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.87945 | + | 11.9397i | 0.143585 | + | 0.441909i | ||||
\(731\) | −1.08172 | + | 0.785918i | −0.0400090 | + | 0.0290682i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.7376 | + | 45.3578i | 0.544347 | + | 1.67533i | 0.722537 | + | 0.691333i | \(0.242976\pi\) |
−0.178189 | + | 0.983996i | \(0.557024\pi\) | |||||||
\(734\) | −11.8528 | + | 36.4792i | −0.437495 | + | 1.34647i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.0173734 | 0.000640391 | ||||||||
\(737\) | 14.9145 | + | 28.1594i | 0.549381 | + | 1.03726i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.0777 | + | 7.32187i | 0.370714 | + | 0.269339i | 0.757507 | − | 0.652827i | \(-0.226417\pi\) |
−0.386793 | + | 0.922167i | \(0.626417\pi\) | |||||||
\(740\) | −1.13152 | + | 3.48246i | −0.0415955 | + | 0.128018i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.87065 | + | 2.81219i | −0.142096 | + | 0.103239i | ||||
\(743\) | −22.1446 | + | 16.0890i | −0.812407 | + | 0.590249i | −0.914528 | − | 0.404524i | \(-0.867437\pi\) |
0.102120 | + | 0.994772i | \(0.467437\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.94823 | + | 5.99603i | −0.0713775 | + | 0.219677i | ||||
\(746\) | −9.31722 | − | 6.76936i | −0.341128 | − | 0.247844i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.171694 | − | 1.20754i | 0.00627775 | − | 0.0441521i | ||||
\(749\) | −5.31033 | −0.194035 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.9393 | + | 39.8231i | −0.472162 | + | 1.45317i | 0.377585 | + | 0.925975i | \(0.376755\pi\) |
−0.849747 | + | 0.527191i | \(0.823245\pi\) | |||||||
\(752\) | −1.43203 | − | 4.40733i | −0.0522207 | − | 0.160719i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.55503 | − | 1.12979i | 0.0566308 | − | 0.0411447i | ||||
\(755\) | −1.13852 | − | 3.50400i | −0.0414349 | − | 0.127523i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.0407 | − | 9.47464i | −0.473973 | − | 0.344362i | 0.325015 | − | 0.945709i | \(-0.394631\pi\) |
−0.798988 | + | 0.601347i | \(0.794631\pi\) | |||||||
\(758\) | −10.0499 | −0.365029 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −20.8278 | −0.755504 | ||||||||
\(761\) | 8.83760 | + | 6.42090i | 0.320363 | + | 0.232757i | 0.736330 | − | 0.676622i | \(-0.236557\pi\) |
−0.415967 | + | 0.909380i | \(0.636557\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.74604 | + | 5.37376i | 0.0632109 | + | 0.194543i | ||||
\(764\) | −8.19875 | + | 5.95674i | −0.296620 | + | 0.215507i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.7610 | − | 39.2744i | −0.461075 | − | 1.41904i | ||||
\(767\) | −2.24442 | + | 6.90762i | −0.0810414 | + | 0.249420i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −34.2074 | −1.23355 | −0.616775 | − | 0.787139i | \(-0.711561\pi\) | ||||
−0.616775 | + | 0.787139i | \(0.711561\pi\) | |||||||
\(770\) | 1.27800 | − | 1.31914i | 0.0460558 | − | 0.0475386i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.19570 | − | 0.868727i | −0.0430342 | − | 0.0312662i | ||||
\(773\) | 2.66894 | − | 8.21416i | 0.0959952 | − | 0.295443i | −0.891517 | − | 0.452988i | \(-0.850358\pi\) |
0.987512 | + | 0.157545i | \(0.0503580\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.53521 | − | 3.29503i | 0.162910 | − | 0.118361i | ||||
\(776\) | 14.5619 | − | 10.5798i | 0.522742 | − | 0.379794i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12.4772 | − | 38.4009i | 0.447329 | − | 1.37674i | ||||
\(779\) | −60.3852 | − | 43.8724i | −2.16352 | − | 1.57189i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 33.9937 | + | 16.6477i | 1.21639 | + | 0.595701i | ||||
\(782\) | −0.00575405 | −0.000205764 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.79466 | − | 17.8341i | 0.206952 | − | 0.636934i | ||||
\(785\) | 0.874113 | + | 2.69024i | 0.0311984 | + | 0.0960189i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.6918 | − | 13.5804i | 0.666291 | − | 0.484089i | −0.202491 | − | 0.979284i | \(-0.564904\pi\) |
0.868781 | + | 0.495196i | \(0.164904\pi\) | |||||||
\(788\) | −0.798669 | − | 2.45805i | −0.0284514 | − | 0.0875644i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.08256 | + | 1.51307i | 0.0740943 | + | 0.0538327i | ||||
\(791\) | 4.47453 | 0.159096 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −63.1443 | −2.24232 | ||||||||
\(794\) | 15.2613 | + | 11.0880i | 0.541603 | + | 0.393498i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.24418 | − | 3.82920i | −0.0440988 | − | 0.135722i | ||||
\(797\) | 32.1449 | − | 23.3547i | 1.13863 | − | 0.827265i | 0.151704 | − | 0.988426i | \(-0.451524\pi\) |
0.986928 | + | 0.161161i | \(0.0515238\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.384092 | − | 1.18211i | −0.0135882 | − | 0.0418202i | ||||
\(800\) | 0.846572 | − | 2.60548i | 0.0299308 | − | 0.0921176i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.14430 | 0.287585 | ||||||||
\(803\) | −23.6312 | + | 24.3920i | −0.833927 | + | 0.860776i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.00231743 | + | 0.00168371i | 8.16785e−5 | + | 5.93429e-5i | ||||
\(806\) | 10.2800 | − | 31.6385i | 0.362096 | − | 1.11442i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 5.46822 | − | 3.97289i | 0.192371 | − | 0.139766i | ||||
\(809\) | 25.0908 | − | 18.2296i | 0.882147 | − | 0.640917i | −0.0516716 | − | 0.998664i | \(-0.516455\pi\) |
0.933819 | + | 0.357747i | \(0.116455\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.30503 | − | 7.09414i | 0.0809404 | − | 0.249109i | −0.902395 | − | 0.430910i | \(-0.858193\pi\) |
0.983335 | + | 0.181801i | \(0.0581927\pi\) | |||||||
\(812\) | −0.0588151 | − | 0.0427317i | −0.00206401 | − | 0.00149959i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 29.5168 | − | 5.15557i | 1.03456 | − | 0.180703i | ||||
\(815\) | 8.85141 | 0.310051 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.79849 | + | 11.6906i | −0.132892 | + | 0.409001i | ||||
\(818\) | 9.27633 | + | 28.5496i | 0.324339 | + | 0.998213i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.41019 | − | 3.20419i | 0.154010 | − | 0.111895i | ||||
\(821\) | −3.91079 | − | 12.0362i | −0.136488 | − | 0.420065i | 0.859331 | − | 0.511420i | \(-0.170880\pi\) |
−0.995818 | + | 0.0913546i | \(0.970880\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 22.0772 | + | 16.0401i | 0.769564 | + | 0.559121i | 0.901829 | − | 0.432093i | \(-0.142225\pi\) |
−0.132265 | + | 0.991214i | \(0.542225\pi\) | |||||||
\(824\) | −29.6309 | −1.03224 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.830969 | −0.0289131 | ||||||||
\(827\) | 13.7164 | + | 9.96556i | 0.476966 | + | 0.346536i | 0.800150 | − | 0.599800i | \(-0.204753\pi\) |
−0.323184 | + | 0.946336i | \(0.604753\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.11217 | + | 18.8113i | 0.212284 | + | 0.653344i | 0.999335 | + | 0.0364562i | \(0.0116069\pi\) |
−0.787051 | + | 0.616888i | \(0.788393\pi\) | |||||||
\(830\) | −15.7651 | + | 11.4540i | −0.547215 | + | 0.397575i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −13.2782 | − | 40.8660i | −0.460337 | − | 1.41677i | ||||
\(833\) | 1.55422 | − | 4.78339i | 0.0538504 | − | 0.165735i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 19.6842 | 0.681200 | ||||||||
\(836\) | −5.24819 | − | 9.90890i | −0.181512 | − | 0.342706i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −20.6958 | − | 15.0364i | −0.714923 | − | 0.519422i | ||||
\(839\) | −1.53882 | + | 4.73601i | −0.0531261 | + | 0.163505i | −0.974099 | − | 0.226121i | \(-0.927396\pi\) |
0.920973 | + | 0.389626i | \(0.127396\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.3766 | − | 16.9841i | 0.806090 | − | 0.585659i | ||||
\(842\) | 16.7933 | − | 12.2011i | 0.578736 | − | 0.420476i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.201668 | − | 0.620670i | 0.00694170 | − | 0.0213643i | ||||
\(845\) | −8.43717 | − | 6.12996i | −0.290247 | − | 0.210877i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.77173 | + | 1.38493i | 0.163959 | + | 0.0475868i | ||||
\(848\) | 23.8387 | 0.818623 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.280384 | + | 0.862933i | −0.00961709 | + | 0.0295983i | ||||
\(851\) | 0.0144408 | + | 0.0444441i | 0.000495023 | + | 0.00152353i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 18.8068 | − | 13.6639i | 0.643931 | − | 0.467843i | −0.217267 | − | 0.976112i | \(-0.569714\pi\) |
0.861199 | + | 0.508269i | \(0.169714\pi\) | |||||||
\(854\) | −2.23243 | − | 6.87072i | −0.0763923 | − | 0.235111i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 29.1158 | + | 21.1539i | 0.995158 | + | 0.723025i | ||||
\(857\) | −30.6976 | −1.04861 | −0.524306 | − | 0.851530i | \(-0.675675\pi\) | ||||
−0.524306 | + | 0.851530i | \(0.675675\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.1830 | −0.381560 | −0.190780 | − | 0.981633i | \(-0.561102\pi\) | ||||
−0.190780 | + | 0.981633i | \(0.561102\pi\) | |||||||
\(860\) | −0.726295 | − | 0.527684i | −0.0247665 | − | 0.0179939i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 9.91268 | + | 30.5081i | 0.337627 | + | 1.03911i | ||||
\(863\) | 2.96371 | − | 2.15326i | 0.100886 | − | 0.0732980i | −0.536199 | − | 0.844092i | \(-0.680140\pi\) |
0.637085 | + | 0.770794i | \(0.280140\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.899661 | + | 2.76887i | 0.0305894 | + | 0.0941445i | ||||
\(866\) | −9.49389 | + | 29.2192i | −0.322616 | + | 0.992909i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.25823 | −0.0427071 | ||||||||
\(869\) | −0.980280 | + | 6.89442i | −0.0332537 | + | 0.233877i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 37.6231 | + | 27.3348i | 1.27481 | + | 0.926203i | ||||
\(872\) | 11.8333 | − | 36.4190i | 0.400725 | − | 1.23330i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.0427958 | + | 0.0310930i | −0.00144759 | + | 0.00105174i | ||||
\(875\) | 0.365429 | − | 0.265500i | 0.0123538 | − | 0.00897553i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.27520 | − | 7.00235i | 0.0768281 | − | 0.236453i | −0.905265 | − | 0.424846i | \(-0.860328\pi\) |
0.982094 | + | 0.188394i | \(0.0603281\pi\) | |||||||
\(878\) | −5.07073 | − | 3.68410i | −0.171129 | − | 0.124332i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.01498 | + | 1.57461i | −0.303895 | + | 0.0530801i | ||||
\(881\) | 6.07165 | 0.204559 | 0.102280 | − | 0.994756i | \(-0.467386\pi\) | ||||
0.102280 | + | 0.994756i | \(0.467386\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.63412 | − | 29.6508i | 0.324214 | − | 0.997828i | −0.647580 | − | 0.761997i | \(-0.724219\pi\) |
0.971794 | − | 0.235830i | \(-0.0757810\pi\) | |||||||
\(884\) | −0.550061 | − | 1.69291i | −0.0185005 | − | 0.0569388i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −27.8487 | + | 20.2333i | −0.935596 | + | 0.679750i | ||||
\(887\) | −1.75830 | − | 5.41150i | −0.0590380 | − | 0.181700i | 0.917188 | − | 0.398454i | \(-0.130453\pi\) |
−0.976226 | + | 0.216754i | \(0.930453\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.205210 | − | 0.149094i | −0.00688254 | − | 0.00500046i | ||||
\(890\) | 11.4868 | 0.385037 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.2288 | −0.476414 | ||||||||
\(893\) | −9.24445 | − | 6.71648i | −0.309354 | − | 0.224759i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.94467 | − | 5.98508i | −0.0650032 | − | 0.200059i | ||||
\(896\) | 1.97495 | − | 1.43488i | 0.0659784 | − | 0.0479361i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 14.0159 | + | 43.1364i | 0.467715 | + | 1.43948i | ||||
\(899\) | −0.561092 | + | 1.72686i | −0.0187135 | + | 0.0575941i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.39389 | 0.213011 | ||||||||
\(902\) | −40.0620 | − | 19.6195i | −1.33392 | − | 0.653258i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −24.5332 | − | 17.8244i | −0.815963 | − | 0.592832i | ||||
\(905\) | −3.44992 | + | 10.6178i | −0.114679 | + | 0.352946i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −34.3765 | + | 24.9760i | −1.14145 | + | 0.829313i | −0.987321 | − | 0.158737i | \(-0.949258\pi\) |
−0.154131 | + | 0.988050i | \(0.549258\pi\) | |||||||
\(908\) | −3.16219 | + | 2.29747i | −0.104941 | + | 0.0762441i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.828317 | − | 2.54930i | 0.0274585 | − | 0.0845084i | ||||
\(911\) | 1.73457 | + | 1.26024i | 0.0574690 | + | 0.0417537i | 0.616149 | − | 0.787630i | \(-0.288692\pi\) |
−0.558680 | + | 0.829383i | \(0.688692\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −47.3436 | − | 23.1855i | −1.56684 | − | 0.767329i | ||||
\(914\) | 45.1737 | 1.49421 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.48002 | − | 7.63273i | 0.0819423 | − | 0.252193i | ||||
\(917\) | 0.423630 | + | 1.30380i | 0.0139895 | + | 0.0430553i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.9995 | + | 9.44470i | −0.428815 | + | 0.311552i | −0.781175 | − | 0.624312i | \(-0.785379\pi\) |
0.352360 | + | 0.935864i | \(0.385379\pi\) | |||||||
\(920\) | −0.00599902 | − | 0.0184631i | −0.000197782 | − | 0.000608710i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −22.8141 | − | 16.5754i | −0.751343 | − | 0.545883i | ||||
\(923\) | 55.2407 | 1.81827 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.36894 | 0.242289 | ||||||||
\(926\) | 35.8628 | + | 26.0558i | 1.17852 | + | 0.856248i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.274205 | + | 0.843916i | 0.00900122 | + | 0.0277029i | ||||
\(929\) | 30.3196 | − | 22.0285i | 0.994753 | − | 0.722730i | 0.0337960 | − | 0.999429i | \(-0.489240\pi\) |
0.960957 | + | 0.276699i | \(0.0892403\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.2883 | − | 43.9750i | −0.468282 | − | 1.44122i | ||||
\(932\) | −2.83066 | + | 8.71187i | −0.0927213 | + | 0.285367i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.77688 | −0.0908621 | ||||||||
\(935\) | −2.41796 | + | 0.422334i | −0.0790756 | + | 0.0138118i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.0388 | + | 15.2856i | 0.687308 | + | 0.499359i | 0.875774 | − | 0.482721i | \(-0.160351\pi\) |
−0.188466 | + | 0.982080i | \(0.560351\pi\) | |||||||
\(938\) | −1.64415 | + | 5.06017i | −0.0536834 | + | 0.165220i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.675161 | − | 0.490533i | 0.0220213 | − | 0.0159994i | ||||
\(941\) | −6.94527 | + | 5.04603i | −0.226409 | + | 0.164496i | −0.695207 | − | 0.718810i | \(-0.744687\pi\) |
0.468798 | + | 0.883306i | \(0.344687\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.0214986 | − | 0.0661658i | 0.000700090 | − | 0.00215466i | ||||
\(944\) | 3.34964 | + | 2.43366i | 0.109022 | + | 0.0792088i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.03413 | + | 7.27318i | −0.0336226 | + | 0.236471i | ||||
\(947\) | −36.0304 | −1.17083 | −0.585416 | − | 0.810733i | \(-0.699069\pi\) | ||||
−0.585416 | + | 0.810733i | \(0.699069\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −15.3163 | + | 47.1386i | −0.497187 | + | 1.53019i | ||||
\(950\) | 2.57765 | + | 7.93318i | 0.0836299 | + | 0.257386i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.827896 | − | 0.601502i | 0.0268323 | − | 0.0194948i | ||||
\(953\) | −13.5512 | − | 41.7062i | −0.438965 | − | 1.35100i | −0.888968 | − | 0.457969i | \(-0.848577\pi\) |
0.450003 | − | 0.893027i | \(-0.351423\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.4996 | + | 11.9876i | 0.533914 | + | 0.387911i | ||||
\(956\) | −11.1127 | −0.359412 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −37.4310 | −1.20934 | ||||||||
\(959\) | 7.56451 | + | 5.49594i | 0.244271 | + | 0.177473i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.131439 | + | 0.404529i | 0.00423998 | + | 0.0130493i | ||||
\(962\) | 35.3779 | − | 25.7035i | 1.14063 | − | 0.828716i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.03017 | + | 6.24822i | 0.0653874 | + | 0.201242i | ||||
\(965\) | −0.919120 | + | 2.82876i | −0.0295875 | + | 0.0910610i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −48.1271 | −1.54766 | −0.773831 | − | 0.633392i | \(-0.781662\pi\) | ||||
−0.773831 | + | 0.633392i | \(0.781662\pi\) | |||||||
\(968\) | −20.6458 | − | 26.6017i | −0.663582 | − | 0.855012i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.83198 | − | 4.23718i | −0.187253 | − | 0.136048i | ||||
\(971\) | 9.80617 | − | 30.1803i | 0.314695 | − | 0.968531i | −0.661185 | − | 0.750223i | \(-0.729946\pi\) |
0.975880 | − | 0.218308i | \(-0.0700539\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.29681 | − | 0.942187i | 0.0415738 | − | 0.0302051i | ||||
\(974\) | 16.0228 | − | 11.6413i | 0.513404 | − | 0.373010i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.1233 | + | 34.2341i | −0.356049 | + | 1.09581i | ||||
\(977\) | −34.8913 | − | 25.3500i | −1.11627 | − | 0.811018i | −0.132631 | − | 0.991166i | \(-0.542342\pi\) |
−0.983640 | + | 0.180148i | \(0.942342\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.5443 | + | 27.4604i | 0.464836 | + | 0.877639i | ||||
\(980\) | 3.37696 | 0.107873 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.42378 | + | 13.6150i | −0.141168 | + | 0.434472i | ||||
\(983\) | 13.8106 | + | 42.5048i | 0.440491 | + | 1.35569i | 0.887354 | + | 0.461089i | \(0.152541\pi\) |
−0.446863 | + | 0.894602i | \(0.647459\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.20792 | + | 3.05723i | −0.134075 | + | 0.0974115i | ||||
\(986\) | −0.0908164 | − | 0.279504i | −0.00289218 | − | 0.00890123i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −13.2390 | − | 9.61873i | −0.421190 | − | 0.306012i | ||||
\(989\) | −0.0114573 | −0.000364322 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.7657 | 0.437282 | 0.218641 | − | 0.975805i | \(-0.429838\pi\) | ||||
0.218641 | + | 0.975805i | \(0.429838\pi\) | |||||||
\(992\) | 12.4245 | + | 9.02693i | 0.394479 | + | 0.286605i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.95301 | + | 6.01074i | 0.0619457 | + | 0.190649i | ||||
\(995\) | −6.55518 | + | 4.76261i | −0.207813 | + | 0.150985i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.51297 | + | 4.65646i | 0.0479164 | + | 0.147471i | 0.972152 | − | 0.234351i | \(-0.0752965\pi\) |
−0.924236 | + | 0.381823i | \(0.875297\pi\) | |||||||
\(998\) | −15.5091 | + | 47.7322i | −0.490933 | + | 1.51094i | ||||
\(999\) | 0 | 0 |
(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 | 495.2.n.g.136.2 | yes | 16 | |
3.2 | odd | 2 | 495.2.n.h.136.3 | yes | 16 | ||
11.3 | even | 5 | inner | 495.2.n.g.91.2 | ✓ | 16 | |
11.5 | even | 5 | 5445.2.a.cd.1.6 | 8 | |||
11.6 | odd | 10 | 5445.2.a.cb.1.3 | 8 | |||
33.5 | odd | 10 | 5445.2.a.ca.1.3 | 8 | |||
33.14 | odd | 10 | 495.2.n.h.91.3 | yes | 16 | ||
33.17 | even | 10 | 5445.2.a.cc.1.6 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.n.g.91.2 | ✓ | 16 | 11.3 | even | 5 | inner | |
495.2.n.g.136.2 | yes | 16 | 1.1 | even | 1 | trivial | |
495.2.n.h.91.3 | yes | 16 | 33.14 | odd | 10 | ||
495.2.n.h.136.3 | yes | 16 | 3.2 | odd | 2 | ||
5445.2.a.ca.1.3 | 8 | 33.5 | odd | 10 | |||
5445.2.a.cb.1.3 | 8 | 11.6 | odd | 10 | |||
5445.2.a.cc.1.6 | 8 | 33.17 | even | 10 | |||
5445.2.a.cd.1.6 | 8 | 11.5 | even | 5 |