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: | \( x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 47 x^{12} + 32 x^{11} + 171 x^{10} + 26 x^{9} + 360 x^{8} + \cdots + 1 \) |
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 | 91.3 | ||
Root | \(0.0698401 - 0.214946i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.91 |
Dual form | 495.2.n.h.136.3 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) | \(1\) |
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 | \(-0.557293\pi\) |
0.880372 | + | 0.474284i | \(0.157293\pi\) | |||||||
\(3\) | 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 | −0.973964 | − | 0.226705i | \(-0.927205\pi\) |
0.921207 | + | 0.389073i | \(0.127205\pi\) | |||||||
\(8\) | 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 | 0.107348 | − | 0.994222i | \(-0.465764\pi\) |
0.978733 | + | 0.205138i | \(0.0657643\pi\) | |||||||
\(14\) | 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 | \(-0.328606\pi\) |
−0.658021 | + | 0.753000i | \(0.728606\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.10247 | + | 6.47075i | 0.482340 | + | 1.48449i | 0.835796 | + | 0.549040i | \(0.185007\pi\) |
−0.353456 | + | 0.935451i | \(0.614993\pi\) | |||||||
\(20\) | −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 | \(-0.500210\pi\) | ||||
−0.000661164 | 1.00000i | \(0.500210\pi\) | ||||||||
\(24\) | 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 | \(-0.909574\pi\) |
0.941333 | + | 0.337479i | \(0.109574\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.53521 | − | 3.29503i | 0.814548 | − | 0.591804i | −0.100597 | − | 0.994927i | \(-0.532075\pi\) |
0.915146 | + | 0.403123i | \(0.132075\pi\) | |||||||
\(32\) | −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 | −0.569553 | − | 0.821954i | \(-0.692884\pi\) |
0.943911 | − | 0.330200i | \(-0.107116\pi\) | |||||||
\(38\) | 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 | −0.755369 | − | 0.655299i | \(-0.772543\pi\) |
0.225931 | − | 0.974143i | \(-0.427457\pi\) | |||||||
\(42\) | 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 | \(-0.139088\pi\) |
−0.981746 | + | 0.190196i | \(0.939088\pi\) | |||||||
\(48\) | 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 | \(-0.902200\pi\) |
−0.00691024 | + | 0.999976i | \(0.502200\pi\) | |||||||
\(54\) | 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 | \(-0.931141\pi\) |
0.916325 | + | 0.400435i | \(0.131141\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.5540 | − | 7.66790i | −1.35130 | − | 0.981774i | −0.998946 | − | 0.0459057i | \(-0.985383\pi\) |
−0.352350 | − | 0.935868i | \(-0.614617\pi\) | |||||||
\(62\) | 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 | \(-0.536812\pi\) |
−0.980361 | + | 0.197211i | \(0.936812\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.16430 | − | 9.73870i | 0.370353 | − | 1.13983i | −0.576208 | − | 0.817303i | \(-0.695468\pi\) |
0.946561 | − | 0.322526i | \(-0.104532\pi\) | |||||||
\(74\) | −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 | −0.488114 | − | 0.872780i | \(-0.662315\pi\) |
0.679228 | + | 0.733928i | \(0.262315\pi\) | |||||||
\(80\) | 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 | 0.993110 | + | 0.117187i | \(0.0373876\pi\) |
0.418339 | + | 0.908291i | \(0.362612\pi\) | |||||||
\(84\) | 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 | \(-0.665407\pi\) | ||||
−0.496569 | + | 0.867997i | \(0.665407\pi\) | |||||||
\(90\) | 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 | −0.802482 | − | 0.596677i | \(-0.796487\pi\) |
0.319493 | + | 0.947589i | \(0.396487\pi\) | |||||||
\(98\) | 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 | \(-0.664963\pi\) |
0.673099 | + | 0.739552i | \(0.264963\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.99111 | − | 9.20568i | 0.294723 | − | 0.907063i | −0.688592 | − | 0.725149i | \(-0.741771\pi\) |
0.983314 | − | 0.181914i | \(-0.0582292\pi\) | |||||||
\(104\) | 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 | −0.958175 | − | 0.286184i | \(-0.907613\pi\) |
0.606965 | − | 0.794729i | \(-0.292387\pi\) | |||||||
\(108\) | 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 | 0.985493 | + | 0.169715i | \(0.0542847\pi\) |
−0.697525 | + | 0.716561i | \(0.745715\pi\) | |||||||
\(114\) | 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 | 0.607760 | − | 0.794121i | \(-0.292068\pi\) |
−0.567446 | + | 0.823411i | \(0.692068\pi\) | |||||||
\(128\) | −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 | \(-0.457672\pi\) | ||||
0.132585 | + | 0.991172i | \(0.457672\pi\) | |||||||
\(132\) | 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 | 0.989869 | + | 0.141981i | \(0.0453471\pi\) |
0.440918 | + | 0.897547i | \(0.354653\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.09662 | − | 3.37504i | 0.0930139 | − | 0.286267i | −0.893717 | − | 0.448631i | \(-0.851912\pi\) |
0.986731 | + | 0.162364i | \(0.0519117\pi\) | |||||||
\(140\) | −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 | \(-0.383145\pi\) |
−0.776773 | + | 0.629781i | \(0.783145\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.13852 | − | 3.50400i | −0.0926512 | − | 0.285151i | 0.893983 | − | 0.448100i | \(-0.147899\pi\) |
−0.986634 | + | 0.162949i | \(0.947899\pi\) | |||||||
\(152\) | −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 | 0.979859 | − | 0.199690i | \(-0.0639934\pi\) |
−0.910097 | + | 0.414394i | \(0.863993\pi\) | |||||||
\(158\) | 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 | −0.831784 | − | 0.555099i | \(-0.812680\pi\) |
0.270896 | + | 0.962609i | \(0.412680\pi\) | |||||||
\(164\) | 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 | \(-0.424412\pi\) |
0.997061 | + | 0.0766171i | \(0.0244119\pi\) | |||||||
\(168\) | 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 | \(-0.135301\pi\) |
−0.979414 | + | 0.201862i | \(0.935301\pi\) | |||||||
\(174\) | 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 | \(-0.0244308\pi\) |
−0.851704 | + | 0.524022i | \(0.824431\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.03200 | + | 6.56213i | 0.671343 | + | 0.487759i | 0.870475 | − | 0.492213i | \(-0.163812\pi\) |
−0.199131 | + | 0.979973i | \(0.563812\pi\) | |||||||
\(182\) | 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 | −0.413920 | − | 0.910313i | \(-0.635841\pi\) |
0.869937 | − | 0.493163i | \(-0.164159\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.40629 | + | 1.74827i | 0.173208 | + | 0.125843i | 0.671012 | − | 0.741447i | \(-0.265860\pi\) |
−0.497804 | + | 0.867290i | \(0.665860\pi\) | |||||||
\(194\) | −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 | \(-0.559322\pi\) | ||||
−0.185288 | + | 0.982684i | \(0.559322\pi\) | |||||||
\(198\) | 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 | −0.550611 | − | 0.834762i | \(-0.685605\pi\) |
0.623758 | + | 0.781618i | \(0.285605\pi\) | |||||||
\(212\) | −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 | 0.566577 | + | 0.824009i | \(0.308267\pi\) |
0.0259701 | + | 0.999663i | \(0.491733\pi\) | |||||||
\(224\) | 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 | \(-0.815933\pi\) |
0.998747 | + | 0.0500354i | \(0.0159334\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.0664 | − | 9.49331i | 0.863453 | − | 0.627336i | −0.0653689 | − | 0.997861i | \(-0.520822\pi\) |
0.928822 | + | 0.370526i | \(0.120822\pi\) | |||||||
\(230\) | −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 | \(-0.493636\pi\) |
0.957044 | + | 0.289942i | \(0.0936361\pi\) | |||||||
\(234\) | 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 | −0.880250 | − | 0.474510i | \(-0.842625\pi\) |
0.433227 | − | 0.901285i | \(-0.357375\pi\) | |||||||
\(240\) | 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 | \(-0.930655\pi\) |
−0.0961569 | + | 0.995366i | \(0.530655\pi\) | |||||||
\(252\) | 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 | \(-0.866504\pi\) |
0.978254 | + | 0.207412i | \(0.0665041\pi\) | |||||||
\(258\) | 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 | \(-0.724748\pi\) | ||||
−0.648845 | + | 0.760920i | \(0.724748\pi\) | |||||||
\(264\) | 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 | \(-0.0474265\pi\) |
0.164415 | + | 0.986391i | \(0.447427\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.34951 | + | 19.5418i | −0.385705 | + | 1.18708i | 0.550262 | + | 0.834992i | \(0.314528\pi\) |
−0.935967 | + | 0.352087i | \(0.885472\pi\) | |||||||
\(272\) | −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 | 0.000611096 | − | 1.00000i | \(-0.499805\pi\) |
0.951245 | + | 0.308436i | \(0.0998055\pi\) | |||||||
\(278\) | −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 | \(-0.165040\pi\) |
−0.202910 | + | 0.979197i | \(0.565040\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.73949 | + | 29.9751i | 0.578953 | + | 1.78183i | 0.622306 | + | 0.782774i | \(0.286196\pi\) |
−0.0433533 | + | 0.999060i | \(0.513804\pi\) | |||||||
\(284\) | 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 | −0.486024 | − | 0.873945i | \(-0.661553\pi\) |
0.906894 | − | 0.421359i | \(-0.138447\pi\) | |||||||
\(294\) | 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 | 0.997317 | + | 0.0732020i | \(0.0233218\pi\) |
−0.763819 | + | 0.645430i | \(0.776678\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −18.7435 | − | 13.6180i | −1.05945 | − | 0.769732i | −0.0854599 | − | 0.996342i | \(-0.527236\pi\) |
−0.973986 | + | 0.226609i | \(0.927236\pi\) | |||||||
\(314\) | 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 | \(-0.637637\pi\) |
0.734029 | + | 0.679118i | \(0.237637\pi\) | |||||||
\(318\) | 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 | −0.990157 | − | 0.139963i | \(-0.955302\pi\) |
0.883322 | + | 0.468767i | \(0.155302\pi\) | |||||||
\(338\) | −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 | \(-0.0630532\pi\) |
0.115811 | + | 0.993271i | \(0.463053\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.43118 | − | 10.5601i | −0.183667 | − | 0.565269i | 0.816256 | − | 0.577691i | \(-0.196046\pi\) |
−0.999923 | + | 0.0124217i | \(0.996046\pi\) | |||||||
\(350\) | −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 | \(-0.667321\pi\) | ||||
−0.501780 | + | 0.864996i | \(0.667321\pi\) | |||||||
\(354\) | 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 | 0.613087 | + | 0.790016i | \(0.289928\pi\) |
−0.960357 | + | 0.278773i | \(0.910072\pi\) | |||||||
\(360\) | 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 | 0.296693 | + | 0.954973i | \(0.404116\pi\) |
−0.801349 | + | 0.598197i | \(0.795884\pi\) | |||||||
\(368\) | −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 | 0.744936 | − | 0.667136i | \(-0.232480\pi\) |
−0.404287 | + | 0.914632i | \(0.632480\pi\) | |||||||
\(380\) | −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 | −0.396820 | + | 0.917897i | \(0.629886\pi\) |
−0.995596 | + | 0.0937524i | \(0.970114\pi\) | |||||||
\(384\) | 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 | 0.265457 | + | 0.964123i | \(0.414477\pi\) |
−0.781456 | + | 0.623960i | \(0.785523\pi\) | |||||||
\(390\) | 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 | \(-0.246958\pi\) |
−0.445455 | + | 0.895305i | \(0.646958\pi\) | |||||||
\(402\) | 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 | −0.957593 | − | 0.288125i | \(-0.906968\pi\) |
−0.0218895 | + | 0.999760i | \(0.506968\pi\) | |||||||
\(410\) | −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 | \(-0.670235\pi\) | ||||
−0.509676 | + | 0.860367i | \(0.670235\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.23200 | − | 16.1025i | −0.254992 | − | 0.784785i | −0.993831 | − | 0.110903i | \(-0.964626\pi\) |
0.738839 | − | 0.673882i | \(-0.235374\pi\) | |||||||
\(422\) | 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 | \(-0.482992\pi\) |
0.966203 | + | 0.257782i | \(0.0829916\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.74375 | + | 23.8328i | −0.372141 | + | 1.14533i | 0.573246 | + | 0.819383i | \(0.305684\pi\) |
−0.945387 | + | 0.325949i | \(0.894316\pi\) | |||||||
\(434\) | 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 | −0.914709 | − | 0.404113i | \(-0.867580\pi\) |
0.502483 | − | 0.864587i | \(-0.332420\pi\) | |||||||
\(444\) | 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 | 0.419510 | − | 0.907751i | \(-0.362202\pi\) |
0.992958 | − | 0.118467i | \(-0.0377981\pi\) | |||||||
\(450\) | 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 | −0.995365 | − | 0.0961719i | \(-0.969340\pi\) |
−0.399050 | − | 0.916929i | \(-0.630660\pi\) | |||||||
\(458\) | 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 | \(-0.679929\pi\) | ||||
−0.535640 | + | 0.844447i | \(0.679929\pi\) | |||||||
\(462\) | 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 | \(-0.316689\pi\) |
−0.629374 | + | 0.777102i | \(0.716689\pi\) | |||||||
\(468\) | 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 | \(-0.545702\pi\) |
−0.985486 | + | 0.169756i | \(0.945702\pi\) | |||||||
\(480\) | 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 | −0.998167 | − | 0.0605221i | \(-0.980723\pi\) |
0.771960 | − | 0.635671i | \(-0.219277\pi\) | |||||||
\(488\) | 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 | \(-0.815130\pi\) |
0.998871 | + | 0.0475137i | \(0.0151298\pi\) | |||||||
\(492\) | 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 | 0.0977712 | + | 0.995209i | \(0.468829\pi\) |
−0.664068 | + | 0.747672i | \(0.731171\pi\) | |||||||
\(500\) | −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 | \(-0.0969877\pi\) |
−0.948090 | + | 0.318003i | \(0.896988\pi\) | |||||||
\(504\) | 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 | 0.990182 | + | 0.139786i | \(0.0446414\pi\) |
−0.718910 | + | 0.695103i | \(0.755359\pi\) | |||||||
\(510\) | 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 | 0.313353 | + | 0.949637i | \(0.398548\pi\) |
−0.811690 | + | 0.584088i | \(0.801452\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.49589 | + | 6.17262i | 0.371499 | + | 0.269910i | 0.757832 | − | 0.652449i | \(-0.226258\pi\) |
−0.386333 | + | 0.922359i | \(0.626258\pi\) | |||||||
\(524\) | −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 | −0.599112 | − | 0.800666i | \(-0.704479\pi\) |
0.576343 | + | 0.817208i | \(0.304479\pi\) | |||||||
\(542\) | 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 | 0.822471 | − | 0.568807i | \(-0.192595\pi\) |
−0.999729 | + | 0.0232616i | \(0.992595\pi\) | |||||||
\(548\) | −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 | \(-0.809485\pi\) |
0.999556 | + | 0.0297943i | \(0.00948523\pi\) | |||||||
\(558\) | 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 | \(-0.848629\pi\) |
0.160687 | + | 0.987005i | \(0.448629\pi\) | |||||||
\(564\) | 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 | −0.589698 | − | 0.807624i | \(-0.700753\pi\) |
0.00236662 | − | 0.999997i | \(-0.499247\pi\) | |||||||
\(570\) | 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 | 0.451902 | − | 0.892068i | \(-0.350746\pi\) |
−0.708762 | + | 0.705448i | \(0.750746\pi\) | |||||||
\(578\) | −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 | \(-0.847950\pi\) |
0.988675 | + | 0.150071i | \(0.0479502\pi\) | |||||||
\(588\) | 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 | \(-0.557068\pi\) | ||||
−0.178327 | + | 0.983971i | \(0.557068\pi\) | |||||||
\(594\) | 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 | \(-0.207660\pi\) |
−0.331811 | + | 0.943346i | \(0.607660\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.18091 | + | 9.78983i | −0.129752 | + | 0.399335i | −0.994737 | − | 0.102462i | \(-0.967328\pi\) |
0.864985 | + | 0.501798i | \(0.167328\pi\) | |||||||
\(602\) | −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 | −0.939034 | − | 0.343825i | \(-0.888277\pi\) |
0.0368195 | + | 0.999322i | \(0.488277\pi\) | |||||||
\(608\) | −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 | 0.860151 | − | 0.510039i | \(-0.170369\pi\) |
−0.995670 | + | 0.0929536i | \(0.970369\pi\) | |||||||
\(614\) | −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 | \(-0.380329\pi\) | ||||
0.367165 | + | 0.930156i | \(0.380329\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.08144 | + | 18.7167i | 0.244434 | + | 0.752289i | 0.995729 | + | 0.0923233i | \(0.0294293\pi\) |
−0.751295 | + | 0.659966i | \(0.770571\pi\) | |||||||
\(620\) | −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 | 0.569683 | + | 0.821865i | \(0.307066\pi\) |
−0.943963 | + | 0.330051i | \(0.892934\pi\) | |||||||
\(632\) | 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 | 0.870066 | + | 0.492935i | \(0.164076\pi\) |
−0.414159 | + | 0.910205i | \(0.635924\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.861554 | − | 0.625956i | −0.0339764 | − | 0.0246853i | 0.570667 | − | 0.821181i | \(-0.306685\pi\) |
−0.604644 | + | 0.796496i | \(0.706685\pi\) | |||||||
\(644\) | 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 | \(-0.599444\pi\) |
0.810042 | + | 0.586372i | \(0.199444\pi\) | |||||||
\(648\) | 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 | −0.473091 | − | 0.881014i | \(-0.656862\pi\) |
0.900585 | − | 0.434679i | \(-0.143138\pi\) | |||||||
\(654\) | 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 | \(-0.686929\pi\) | ||||
−0.554077 | + | 0.832465i | \(0.686929\pi\) | |||||||
\(660\) | 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 | −0.279250 | − | 0.960218i | \(-0.590086\pi\) |
0.826929 | + | 0.562306i | \(0.190086\pi\) | |||||||
\(674\) | 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 | 0.994512 | + | 0.104619i | \(0.0333622\pi\) |
0.406819 | + | 0.913509i | \(0.366638\pi\) | |||||||
\(678\) | 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 | \(-0.402457\pi\) | ||||
0.301667 | + | 0.953413i | \(0.402457\pi\) | |||||||
\(684\) | 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 | −0.632493 | − | 0.774566i | \(-0.717968\pi\) |
0.541205 | + | 0.840891i | \(0.317968\pi\) | |||||||
\(692\) | 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 | 0.894757 | + | 0.446553i | \(0.147348\pi\) |
−0.461397 | + | 0.887194i | \(0.652652\pi\) | |||||||
\(702\) | 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 | 0.954234 | − | 0.299062i | \(-0.0966738\pi\) |
0.0104495 | + | 0.999945i | \(0.496674\pi\) | |||||||
\(710\) | −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 | 0.581122 | + | 0.813816i | \(0.302614\pi\) |
−0.948487 | + | 0.316816i | \(0.897386\pi\) | |||||||
\(720\) | 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 | −0.178189 | − | 0.983996i | \(-0.557024\pi\) |
0.722537 | − | 0.691333i | \(-0.242976\pi\) | |||||||
\(734\) | 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 | −0.386793 | − | 0.922167i | \(-0.626417\pi\) |
0.757507 | + | 0.652827i | \(0.226417\pi\) | |||||||
\(740\) | 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 | \(-0.132563\pi\) |
−0.102120 | + | 0.994772i | \(0.532563\pi\) | |||||||
\(744\) | 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 | −0.849747 | − | 0.527191i | \(-0.823245\pi\) |
0.377585 | − | 0.925975i | \(-0.376755\pi\) | |||||||
\(752\) | 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 | −0.798988 | − | 0.601347i | \(-0.794631\pi\) |
0.325015 | + | 0.945709i | \(0.394631\pi\) | |||||||
\(758\) | 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 | \(-0.763443\pi\) |
0.415967 | + | 0.909380i | \(0.363443\pi\) | |||||||
\(762\) | 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 | \(-0.149642\pi\) |
−0.987512 | + | 0.157545i | \(0.949642\pi\) | |||||||
\(774\) | 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 | 0.868781 | − | 0.495196i | \(-0.164904\pi\) |
−0.202491 | + | 0.979284i | \(0.564904\pi\) | |||||||
\(788\) | 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 | \(-0.548476\pi\) |
−0.986928 | + | 0.161161i | \(0.948476\pi\) | |||||||
\(798\) | 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 | \(-0.483545\pi\) |
−0.933819 | + | 0.357747i | \(0.883545\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.30503 | + | 7.09414i | 0.0809404 | + | 0.249109i | 0.983335 | − | 0.181801i | \(-0.0581927\pi\) |
−0.902395 | + | 0.430910i | \(0.858193\pi\) | |||||||
\(812\) | 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 | \(-0.829120\pi\) |
0.995818 | + | 0.0913546i | \(0.0291197\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 22.0772 | − | 16.0401i | 0.769564 | − | 0.559121i | −0.132265 | − | 0.991214i | \(-0.542225\pi\) |
0.901829 | + | 0.432093i | \(0.142225\pi\) | |||||||
\(824\) | 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 | \(-0.795247\pi\) |
0.323184 | + | 0.946336i | \(0.395247\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.11217 | − | 18.8113i | 0.212284 | − | 0.653344i | −0.787051 | − | 0.616888i | \(-0.788393\pi\) |
0.999335 | − | 0.0364562i | \(-0.0116069\pi\) | |||||||
\(830\) | 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 | \(-0.0726043\pi\) |
−0.920973 | + | 0.389626i | \(0.872604\pi\) | |||||||
\(840\) | 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 | 0.861199 | − | 0.508269i | \(-0.169714\pi\) |
−0.217267 | + | 0.976112i | \(0.569714\pi\) | |||||||
\(854\) | 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 | \(-0.324325\pi\) | ||||
0.524306 | + | 0.851530i | \(0.324325\pi\) | |||||||
\(858\) | 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 | \(-0.319860\pi\) |
−0.637085 | + | 0.770794i | \(0.719860\pi\) | |||||||
\(864\) | 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 | 0.982094 | − | 0.188394i | \(-0.0603281\pi\) |
−0.905265 | + | 0.424846i | \(0.860328\pi\) | |||||||
\(878\) | 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 | \(-0.532614\pi\) | ||||
−0.102280 | + | 0.994756i | \(0.532614\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.63412 | + | 29.6508i | 0.324214 | + | 0.997828i | 0.971794 | + | 0.235830i | \(0.0757810\pi\) |
−0.647580 | + | 0.761997i | \(0.724219\pi\) | |||||||
\(884\) | 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 | \(-0.869547\pi\) |
0.976226 | + | 0.216754i | \(0.0695468\pi\) | |||||||
\(888\) | 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 | −0.154131 | − | 0.988050i | \(-0.549258\pi\) |
−0.987321 | + | 0.158737i | \(0.949258\pi\) | |||||||
\(908\) | 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 | \(-0.711308\pi\) |
0.558680 | + | 0.829383i | \(0.311308\pi\) | |||||||
\(912\) | 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 | 0.352360 | − | 0.935864i | \(-0.385379\pi\) |
−0.781175 | + | 0.624312i | \(0.785379\pi\) | |||||||
\(920\) | 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 | \(-0.510760\pi\) |
−0.960957 | + | 0.276699i | \(0.910760\pi\) | |||||||
\(930\) | 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 | −0.188466 | − | 0.982080i | \(-0.560351\pi\) |
0.875774 | + | 0.482721i | \(0.160351\pi\) | |||||||
\(938\) | 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 | \(-0.255313\pi\) |
−0.468798 | + | 0.883306i | \(0.655313\pi\) | |||||||
\(942\) | 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 | \(-0.300931\pi\) | ||||
0.585416 | + | 0.810733i | \(0.300931\pi\) | |||||||
\(948\) | 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 | −0.450003 | − | 0.893027i | \(-0.648577\pi\) |
0.888968 | − | 0.457969i | \(-0.151423\pi\) | |||||||
\(954\) | 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 | −0.975880 | − | 0.218308i | \(-0.929946\pi\) |
0.661185 | − | 0.750223i | \(-0.270054\pi\) | |||||||
\(972\) | 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 | \(-0.457658\pi\) |
0.983640 | + | 0.180148i | \(0.0576575\pi\) | |||||||
\(978\) | 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 | 0.446863 | + | 0.894602i | \(0.352541\pi\) |
−0.887354 | + | 0.461089i | \(0.847459\pi\) | |||||||
\(984\) | 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 | −0.924236 | − | 0.381823i | \(-0.875297\pi\) |
0.972152 | + | 0.234351i | \(0.0752965\pi\) | |||||||
\(998\) | 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.h.91.3 | yes | 16 | |
3.2 | odd | 2 | 495.2.n.g.91.2 | ✓ | 16 | ||
11.2 | odd | 10 | 5445.2.a.cc.1.6 | 8 | |||
11.4 | even | 5 | inner | 495.2.n.h.136.3 | yes | 16 | |
11.9 | even | 5 | 5445.2.a.ca.1.3 | 8 | |||
33.2 | even | 10 | 5445.2.a.cb.1.3 | 8 | |||
33.20 | odd | 10 | 5445.2.a.cd.1.6 | 8 | |||
33.26 | odd | 10 | 495.2.n.g.136.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.n.g.91.2 | ✓ | 16 | 3.2 | odd | 2 | ||
495.2.n.g.136.2 | yes | 16 | 33.26 | odd | 10 | ||
495.2.n.h.91.3 | yes | 16 | 1.1 | even | 1 | trivial | |
495.2.n.h.136.3 | yes | 16 | 11.4 | even | 5 | inner | |
5445.2.a.ca.1.3 | 8 | 11.9 | even | 5 | |||
5445.2.a.cb.1.3 | 8 | 33.2 | even | 10 | |||
5445.2.a.cc.1.6 | 8 | 11.2 | odd | 10 | |||
5445.2.a.cd.1.6 | 8 | 33.20 | odd | 10 |