Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(17,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 27, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bm (of order \(30\), degree \(8\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 17.12 | ||
Character | \(\chi\) | \(=\) | 429.17 |
Dual form | 429.2.bm.a.101.12 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.361366 | + | 1.70009i | −0.255525 | + | 1.20215i | 0.643913 | + | 0.765099i | \(0.277310\pi\) |
−0.899437 | + | 0.437050i | \(0.856023\pi\) | |||||||
\(3\) | −0.634525 | + | 1.61164i | −0.366343 | + | 0.930480i | ||||
\(4\) | −0.932645 | − | 0.415240i | −0.466323 | − | 0.207620i | ||||
\(5\) | 0.654561 | − | 2.01453i | 0.292729 | − | 0.900926i | −0.691246 | − | 0.722619i | \(-0.742938\pi\) |
0.983975 | − | 0.178307i | \(-0.0570620\pi\) | |||||||
\(6\) | −2.51064 | − | 1.66114i | −1.02497 | − | 0.678160i | ||||
\(7\) | 2.75978 | + | 1.22873i | 1.04310 | + | 0.464417i | 0.855486 | − | 0.517826i | \(-0.173259\pi\) |
0.187612 | + | 0.982243i | \(0.439925\pi\) | |||||||
\(8\) | −1.00026 | + | 1.37673i | −0.353644 | + | 0.486749i | ||||
\(9\) | −2.19475 | − | 2.04525i | −0.731585 | − | 0.681750i | ||||
\(10\) | 3.18836 | + | 1.84080i | 1.00825 | + | 0.582112i | ||||
\(11\) | −1.33016 | + | 3.03820i | −0.401058 | + | 0.916053i | ||||
\(12\) | 1.26100 | − | 1.23961i | 0.364021 | − | 0.357843i | ||||
\(13\) | −1.40421 | + | 3.32087i | −0.389458 | + | 0.921044i | ||||
\(14\) | −3.08625 | + | 4.24786i | −0.824835 | + | 1.13529i | ||||
\(15\) | 2.83136 | + | 2.33319i | 0.731054 | + | 0.602426i | ||||
\(16\) | −3.34536 | − | 3.71540i | −0.836340 | − | 0.928850i | ||||
\(17\) | −7.03208 | + | 1.49471i | −1.70553 | + | 0.362521i | −0.954607 | − | 0.297869i | \(-0.903724\pi\) |
−0.750922 | + | 0.660391i | \(0.770391\pi\) | |||||||
\(18\) | 4.27023 | − | 2.99221i | 1.00650 | − | 0.705270i | ||||
\(19\) | −0.0546753 | + | 0.520201i | −0.0125434 | + | 0.119342i | −0.999002 | − | 0.0446690i | \(-0.985777\pi\) |
0.986458 | + | 0.164011i | \(0.0524433\pi\) | |||||||
\(20\) | −1.44699 | + | 1.60704i | −0.323556 | + | 0.359346i | ||||
\(21\) | −3.73142 | + | 3.66810i | −0.814262 | + | 0.800445i | ||||
\(22\) | −4.68456 | − | 3.35930i | −0.998751 | − | 0.716205i | ||||
\(23\) | 2.84187 | + | 1.64076i | 0.592571 | + | 0.342121i | 0.766114 | − | 0.642705i | \(-0.222188\pi\) |
−0.173542 | + | 0.984826i | \(0.555521\pi\) | |||||||
\(24\) | −1.58411 | − | 2.48562i | −0.323355 | − | 0.507376i | ||||
\(25\) | 0.415196 | + | 0.301658i | 0.0830392 | + | 0.0603315i | ||||
\(26\) | −5.13836 | − | 3.58734i | −1.00772 | − | 0.703536i | ||||
\(27\) | 4.68883 | − | 2.23939i | 0.902366 | − | 0.430970i | ||||
\(28\) | −2.06367 | − | 2.29194i | −0.389998 | − | 0.433136i | ||||
\(29\) | 0.132148 | + | 1.25730i | 0.0245393 | + | 0.233475i | 0.999916 | + | 0.0129319i | \(0.00411646\pi\) |
−0.975377 | + | 0.220544i | \(0.929217\pi\) | |||||||
\(30\) | −4.98980 | + | 3.97045i | −0.911008 | + | 0.724901i | ||||
\(31\) | 2.15224 | − | 0.699306i | 0.386554 | − | 0.125599i | −0.109291 | − | 0.994010i | \(-0.534858\pi\) |
0.495846 | + | 0.868411i | \(0.334858\pi\) | |||||||
\(32\) | 4.57794 | − | 2.64307i | 0.809272 | − | 0.467234i | ||||
\(33\) | −4.05246 | − | 4.07155i | −0.705443 | − | 0.708766i | ||||
\(34\) | − | 12.4953i | − | 2.14293i | ||||||
\(35\) | 4.28176 | − | 4.75538i | 0.723750 | − | 0.803806i | ||||
\(36\) | 1.19766 | + | 2.81884i | 0.199610 | + | 0.469807i | ||||
\(37\) | 6.40608 | − | 0.673306i | 1.05315 | − | 0.110691i | 0.437902 | − | 0.899023i | \(-0.355722\pi\) |
0.615250 | + | 0.788332i | \(0.289055\pi\) | |||||||
\(38\) | −0.864632 | − | 0.280936i | −0.140262 | − | 0.0455739i | ||||
\(39\) | −4.46104 | − | 4.37026i | −0.714337 | − | 0.699801i | ||||
\(40\) | 2.11875 | + | 2.91620i | 0.335003 | + | 0.461092i | ||||
\(41\) | −1.25586 | − | 2.82071i | −0.196132 | − | 0.440520i | 0.788529 | − | 0.614998i | \(-0.210843\pi\) |
−0.984661 | + | 0.174477i | \(0.944176\pi\) | |||||||
\(42\) | −4.88771 | − | 7.66929i | −0.754190 | − | 1.18340i | ||||
\(43\) | −0.498318 | + | 0.287704i | −0.0759928 | + | 0.0438745i | −0.537515 | − | 0.843254i | \(-0.680637\pi\) |
0.461522 | + | 0.887129i | \(0.347303\pi\) | |||||||
\(44\) | 2.50215 | − | 2.28123i | 0.377214 | − | 0.343908i | ||||
\(45\) | −5.55682 | + | 3.08266i | −0.828362 | + | 0.459536i | ||||
\(46\) | −3.81640 | + | 4.23854i | −0.562697 | + | 0.624938i | ||||
\(47\) | 6.48409 | + | 4.71097i | 0.945802 | + | 0.687165i | 0.949810 | − | 0.312827i | \(-0.101276\pi\) |
−0.00400838 | + | 0.999992i | \(0.501276\pi\) | |||||||
\(48\) | 8.11060 | − | 3.03400i | 1.17066 | − | 0.437920i | ||||
\(49\) | 1.42267 | + | 1.58004i | 0.203239 | + | 0.225720i | ||||
\(50\) | −0.662884 | + | 0.596864i | −0.0937460 | + | 0.0844093i | ||||
\(51\) | 2.05309 | − | 12.2816i | 0.287491 | − | 1.71977i | ||||
\(52\) | 2.68859 | − | 2.51411i | 0.372841 | − | 0.348644i | ||||
\(53\) | 4.81807 | − | 1.56549i | 0.661813 | − | 0.215036i | 0.0411974 | − | 0.999151i | \(-0.486883\pi\) |
0.620616 | + | 0.784115i | \(0.286883\pi\) | |||||||
\(54\) | 2.11278 | + | 8.78070i | 0.287514 | + | 1.19490i | ||||
\(55\) | 5.24989 | + | 4.66834i | 0.707894 | + | 0.629479i | ||||
\(56\) | −4.45212 | + | 2.57043i | −0.594940 | + | 0.343489i | ||||
\(57\) | −0.803682 | − | 0.418197i | −0.106450 | − | 0.0553916i | ||||
\(58\) | −2.18529 | − | 0.229683i | −0.286943 | − | 0.0301589i | ||||
\(59\) | −12.5501 | − | 5.58765i | −1.63388 | − | 0.727450i | −0.634898 | − | 0.772596i | \(-0.718958\pi\) |
−0.998980 | + | 0.0451461i | \(0.985625\pi\) | |||||||
\(60\) | −1.67182 | − | 3.35173i | −0.215831 | − | 0.432707i | ||||
\(61\) | 1.70006 | + | 7.99817i | 0.217671 | + | 1.02406i | 0.942261 | + | 0.334881i | \(0.108696\pi\) |
−0.724590 | + | 0.689181i | \(0.757971\pi\) | |||||||
\(62\) | 0.411139 | + | 3.91172i | 0.0522147 | + | 0.496789i | ||||
\(63\) | −3.54397 | − | 8.34120i | −0.446498 | − | 1.05089i | ||||
\(64\) | −0.250738 | − | 0.771692i | −0.0313422 | − | 0.0964615i | ||||
\(65\) | 5.77086 | + | 5.00254i | 0.715787 | + | 0.620489i | ||||
\(66\) | 8.38645 | − | 5.41825i | 1.03230 | − | 0.666940i | ||||
\(67\) | −4.31515 | − | 2.49136i | −0.527180 | − | 0.304367i | 0.212687 | − | 0.977120i | \(-0.431778\pi\) |
−0.739867 | + | 0.672753i | \(0.765112\pi\) | |||||||
\(68\) | 7.17910 | + | 1.52596i | 0.870594 | + | 0.185050i | ||||
\(69\) | −4.44755 | + | 3.53897i | −0.535422 | + | 0.426042i | ||||
\(70\) | 6.53731 | + | 8.99783i | 0.781358 | + | 1.07545i | ||||
\(71\) | 0.431716 | − | 0.0917641i | 0.0512353 | − | 0.0108904i | −0.182223 | − | 0.983257i | \(-0.558329\pi\) |
0.233458 | + | 0.972367i | \(0.424996\pi\) | |||||||
\(72\) | 5.01108 | − | 0.975820i | 0.590562 | − | 0.115001i | ||||
\(73\) | −1.17275 | + | 0.852056i | −0.137261 | + | 0.0997256i | −0.654297 | − | 0.756238i | \(-0.727035\pi\) |
0.517036 | + | 0.855964i | \(0.327035\pi\) | |||||||
\(74\) | −1.17026 | + | 11.1342i | −0.136040 | + | 1.29433i | ||||
\(75\) | −0.749616 | + | 0.477736i | −0.0865581 | + | 0.0551643i | ||||
\(76\) | 0.267001 | − | 0.462459i | 0.0306271 | − | 0.0530477i | ||||
\(77\) | −7.40408 | + | 6.75035i | −0.843773 | + | 0.769274i | ||||
\(78\) | 9.04192 | − | 6.00492i | 1.02380 | − | 0.679923i | ||||
\(79\) | 15.0647 | − | 4.89482i | 1.69491 | − | 0.550711i | 0.707204 | − | 0.707010i | \(-0.249956\pi\) |
0.987710 | + | 0.156299i | \(0.0499565\pi\) | |||||||
\(80\) | −9.67453 | + | 4.30738i | −1.08165 | + | 0.481580i | ||||
\(81\) | 0.633899 | + | 8.97765i | 0.0704332 | + | 0.997516i | ||||
\(82\) | 5.24929 | − | 1.11577i | 0.579687 | − | 0.123216i | ||||
\(83\) | 6.54847 | + | 2.12773i | 0.718788 | + | 0.233548i | 0.645498 | − | 0.763762i | \(-0.276650\pi\) |
0.0732904 | + | 0.997311i | \(0.476650\pi\) | |||||||
\(84\) | 5.00323 | − | 1.87160i | 0.545898 | − | 0.204208i | ||||
\(85\) | −1.59177 | + | 15.1447i | −0.172652 | + | 1.64268i | ||||
\(86\) | −0.309049 | − | 0.951155i | −0.0333256 | − | 0.102566i | ||||
\(87\) | −2.11017 | − | 0.584817i | −0.226234 | − | 0.0626989i | ||||
\(88\) | −2.85230 | − | 4.87026i | −0.304056 | − | 0.519171i | ||||
\(89\) | −0.0669727 | + | 0.116000i | −0.00709909 | + | 0.0122960i | −0.869553 | − | 0.493839i | \(-0.835593\pi\) |
0.862454 | + | 0.506135i | \(0.168926\pi\) | |||||||
\(90\) | −3.23277 | − | 10.5611i | −0.340764 | − | 1.11324i | ||||
\(91\) | −7.95577 | + | 7.43947i | −0.833991 | + | 0.779868i | ||||
\(92\) | −1.96915 | − | 2.71030i | −0.205298 | − | 0.282569i | ||||
\(93\) | −0.238624 | + | 3.91236i | −0.0247442 | + | 0.405693i | ||||
\(94\) | −10.3522 | + | 9.32118i | −1.06775 | + | 0.961407i | ||||
\(95\) | 1.01217 | + | 0.450648i | 0.103847 | + | 0.0462355i | ||||
\(96\) | 1.35486 | + | 9.05507i | 0.138280 | + | 0.924180i | ||||
\(97\) | 4.59682 | + | 4.13900i | 0.466737 | + | 0.420252i | 0.868650 | − | 0.495426i | \(-0.164988\pi\) |
−0.401913 | + | 0.915678i | \(0.631655\pi\) | |||||||
\(98\) | −3.20032 | + | 1.84770i | −0.323281 | + | 0.186646i | ||||
\(99\) | 9.13326 | − | 3.94760i | 0.917927 | − | 0.396749i | ||||
\(100\) | −0.261970 | − | 0.453746i | −0.0261970 | − | 0.0453746i | ||||
\(101\) | 14.1169 | + | 3.00064i | 1.40468 | + | 0.298575i | 0.847051 | − | 0.531512i | \(-0.178376\pi\) |
0.557634 | + | 0.830087i | \(0.311709\pi\) | |||||||
\(102\) | 20.1380 | + | 7.92861i | 1.99395 | + | 0.785049i | ||||
\(103\) | 1.03410 | − | 0.751321i | 0.101893 | − | 0.0740298i | −0.535672 | − | 0.844426i | \(-0.679942\pi\) |
0.637565 | + | 0.770396i | \(0.279942\pi\) | |||||||
\(104\) | −3.16739 | − | 5.25495i | −0.310588 | − | 0.515290i | ||||
\(105\) | 4.94706 | + | 9.91806i | 0.482784 | + | 0.967903i | ||||
\(106\) | 0.920387 | + | 8.75689i | 0.0893958 | + | 0.850545i | ||||
\(107\) | 5.75404 | − | 2.56186i | 0.556264 | − | 0.247665i | −0.109296 | − | 0.994009i | \(-0.534860\pi\) |
0.665560 | + | 0.746345i | \(0.268193\pi\) | |||||||
\(108\) | −5.30290 | + | 0.141561i | −0.510272 | + | 0.0136217i | ||||
\(109\) | −16.0969 | −1.54180 | −0.770902 | − | 0.636954i | \(-0.780194\pi\) | ||||
−0.770902 | + | 0.636954i | \(0.780194\pi\) | |||||||
\(110\) | −9.83375 | + | 7.23832i | −0.937611 | + | 0.690147i | ||||
\(111\) | −2.97969 | + | 10.7515i | −0.282820 | + | 1.02049i | ||||
\(112\) | −4.66722 | − | 14.3642i | −0.441011 | − | 1.35729i | ||||
\(113\) | 2.03682 | + | 0.214078i | 0.191608 | + | 0.0201388i | 0.199846 | − | 0.979827i | \(-0.435956\pi\) |
−0.00823852 | + | 0.999966i | \(0.502622\pi\) | |||||||
\(114\) | 1.00140 | − | 1.21521i | 0.0937896 | − | 0.113815i | ||||
\(115\) | 5.16553 | − | 4.65107i | 0.481689 | − | 0.433714i | ||||
\(116\) | 0.398836 | − | 1.22749i | 0.0370310 | − | 0.113970i | ||||
\(117\) | 9.87392 | − | 4.41654i | 0.912844 | − | 0.408309i | ||||
\(118\) | 14.0347 | − | 19.3171i | 1.29200 | − | 1.77828i | ||||
\(119\) | −21.2436 | − | 4.51546i | −1.94739 | − | 0.413931i | ||||
\(120\) | −6.04426 | + | 1.56425i | −0.551763 | + | 0.142796i | ||||
\(121\) | −7.46135 | − | 8.08259i | −0.678305 | − | 0.734781i | ||||
\(122\) | −14.2120 | −1.28669 | ||||||||
\(123\) | 5.34283 | − | 0.234181i | 0.481747 | − | 0.0211154i | ||||
\(124\) | −2.29766 | − | 0.241494i | −0.206336 | − | 0.0216868i | ||||
\(125\) | 9.44779 | − | 6.86422i | 0.845036 | − | 0.613954i | ||||
\(126\) | 15.4615 | − | 3.01085i | 1.37742 | − | 0.268228i | ||||
\(127\) | 0.935752 | − | 0.842555i | 0.0830346 | − | 0.0747647i | −0.626568 | − | 0.779367i | \(-0.715541\pi\) |
0.709603 | + | 0.704602i | \(0.248874\pi\) | |||||||
\(128\) | 11.9169 | − | 1.25252i | 1.05332 | − | 0.110708i | ||||
\(129\) | −0.147479 | − | 0.985664i | −0.0129848 | − | 0.0867829i | ||||
\(130\) | −10.5902 | + | 8.00326i | −0.928821 | + | 0.701932i | ||||
\(131\) | 10.3262 | 0.902203 | 0.451101 | − | 0.892473i | \(-0.351031\pi\) | ||||
0.451101 | + | 0.892473i | \(0.351031\pi\) | |||||||
\(132\) | 2.08884 | + | 5.48006i | 0.181810 | + | 0.476978i | ||||
\(133\) | −0.790079 | + | 1.36846i | −0.0685085 | + | 0.118660i | ||||
\(134\) | 5.79489 | − | 6.43588i | 0.500602 | − | 0.555975i | ||||
\(135\) | −1.44219 | − | 10.9116i | −0.124124 | − | 0.939123i | ||||
\(136\) | 4.97605 | − | 11.1764i | 0.426693 | − | 0.958368i | ||||
\(137\) | 22.0254 | − | 4.68164i | 1.88175 | − | 0.399979i | 0.884032 | − | 0.467426i | \(-0.154819\pi\) |
0.997723 | + | 0.0674468i | \(0.0214853\pi\) | |||||||
\(138\) | −4.40939 | − | 8.84011i | −0.375352 | − | 0.752520i | ||||
\(139\) | −6.20292 | + | 13.9320i | −0.526124 | + | 1.18169i | 0.433691 | + | 0.901062i | \(0.357211\pi\) |
−0.959815 | + | 0.280633i | \(0.909456\pi\) | |||||||
\(140\) | −5.96799 | + | 2.65712i | −0.504387 | + | 0.224568i | ||||
\(141\) | −11.7067 | + | 7.46078i | −0.985882 | + | 0.628311i | ||||
\(142\) | 0.767119i | 0.0643752i | ||||||||
\(143\) | −8.22166 | − | 8.68357i | −0.687529 | − | 0.726156i | ||||
\(144\) | −0.256677 | + | 14.9965i | −0.0213897 | + | 1.24971i | ||||
\(145\) | 2.61938 | + | 0.556766i | 0.217527 | + | 0.0462369i | ||||
\(146\) | −1.02478 | − | 2.30170i | −0.0848116 | − | 0.190490i | ||||
\(147\) | −3.44917 | + | 1.29026i | −0.284483 | + | 0.106419i | ||||
\(148\) | −6.25418 | − | 2.03211i | −0.514091 | − | 0.167038i | ||||
\(149\) | −2.00872 | − | 9.45030i | −0.164561 | − | 0.774199i | −0.980572 | − | 0.196162i | \(-0.937152\pi\) |
0.816011 | − | 0.578037i | \(-0.196181\pi\) | |||||||
\(150\) | −0.541312 | − | 1.44706i | −0.0441979 | − | 0.118152i | ||||
\(151\) | 14.3708 | + | 10.4410i | 1.16948 | + | 0.849674i | 0.990946 | − | 0.134261i | \(-0.0428660\pi\) |
0.178530 | + | 0.983935i | \(0.442866\pi\) | |||||||
\(152\) | −0.661489 | − | 0.595607i | −0.0536538 | − | 0.0483101i | ||||
\(153\) | 18.4907 | + | 11.1018i | 1.49489 | + | 0.897529i | ||||
\(154\) | −8.80065 | − | 15.0270i | −0.709177 | − | 1.21091i | ||||
\(155\) | − | 4.79350i | − | 0.385023i | ||||||
\(156\) | 2.34586 | + | 5.92830i | 0.187819 | + | 0.474644i | ||||
\(157\) | 6.19850 | + | 4.50347i | 0.494694 | + | 0.359416i | 0.806987 | − | 0.590570i | \(-0.201097\pi\) |
−0.312292 | + | 0.949986i | \(0.601097\pi\) | |||||||
\(158\) | 2.87778 | + | 27.3803i | 0.228944 | + | 2.17826i | ||||
\(159\) | −0.534191 | + | 8.75833i | −0.0423641 | + | 0.694581i | ||||
\(160\) | −2.32802 | − | 10.9525i | −0.184046 | − | 0.865867i | ||||
\(161\) | 5.82689 | + | 8.02002i | 0.459223 | + | 0.632066i | ||||
\(162\) | −15.4919 | − | 2.16653i | −1.21716 | − | 0.170219i | ||||
\(163\) | −13.0907 | − | 11.7869i | −1.02534 | − | 0.923221i | −0.0282620 | − | 0.999601i | \(-0.508997\pi\) |
−0.997079 | + | 0.0763795i | \(0.975664\pi\) | |||||||
\(164\) | 3.15220i | 0.246146i | ||||||||
\(165\) | −10.8549 | + | 5.49874i | −0.845050 | + | 0.428076i | ||||
\(166\) | −5.98373 | + | 10.3641i | −0.464428 | + | 0.804413i | ||||
\(167\) | 2.83885 | − | 13.3558i | 0.219677 | − | 1.03350i | −0.720669 | − | 0.693279i | \(-0.756165\pi\) |
0.940346 | − | 0.340220i | \(-0.110501\pi\) | |||||||
\(168\) | −1.31762 | − | 8.80621i | −0.101657 | − | 0.679414i | ||||
\(169\) | −9.05638 | − | 9.32641i | −0.696645 | − | 0.717416i | ||||
\(170\) | −25.1722 | − | 8.17896i | −1.93062 | − | 0.627298i | ||||
\(171\) | 1.18394 | − | 1.02989i | 0.0905381 | − | 0.0787575i | ||||
\(172\) | 0.584221 | − | 0.0614041i | 0.0445464 | − | 0.00468202i | ||||
\(173\) | −2.02815 | + | 19.2965i | −0.154197 | + | 1.46709i | 0.594458 | + | 0.804127i | \(0.297367\pi\) |
−0.748655 | + | 0.662960i | \(0.769300\pi\) | |||||||
\(174\) | 1.75679 | − | 3.37616i | 0.133182 | − | 0.255946i | ||||
\(175\) | 0.775192 | + | 1.34267i | 0.0585990 | + | 0.101496i | ||||
\(176\) | 15.7380 | − | 5.22181i | 1.18630 | − | 0.393609i | ||||
\(177\) | 16.9686 | − | 16.6807i | 1.27544 | − | 1.25379i | ||||
\(178\) | −0.173010 | − | 0.155778i | −0.0129676 | − | 0.0116761i | ||||
\(179\) | 1.99069 | + | 4.47116i | 0.148791 | + | 0.334190i | 0.972529 | − | 0.232780i | \(-0.0747822\pi\) |
−0.823738 | + | 0.566970i | \(0.808116\pi\) | |||||||
\(180\) | 6.46259 | − | 0.567613i | 0.481693 | − | 0.0423073i | ||||
\(181\) | −6.34699 | + | 19.5340i | −0.471768 | + | 1.45195i | 0.378499 | + | 0.925602i | \(0.376440\pi\) |
−0.850267 | + | 0.526351i | \(0.823560\pi\) | |||||||
\(182\) | −9.77285 | − | 16.2139i | −0.724412 | − | 1.20186i | ||||
\(183\) | −13.9689 | − | 2.33516i | −1.03261 | − | 0.172620i | ||||
\(184\) | −5.10149 | + | 2.27133i | −0.376086 | + | 0.167444i | ||||
\(185\) | 2.83677 | − | 13.3460i | 0.208564 | − | 0.981215i | ||||
\(186\) | −6.56516 | − | 1.81948i | −0.481381 | − | 0.133411i | ||||
\(187\) | 4.81254 | − | 23.3531i | 0.351928 | − | 1.70775i | ||||
\(188\) | −4.09117 | − | 7.08612i | −0.298379 | − | 0.516808i | ||||
\(189\) | 15.6917 | − | 0.418892i | 1.14141 | − | 0.0304699i | ||||
\(190\) | −1.13191 | + | 1.55794i | −0.0821173 | + | 0.113025i | ||||
\(191\) | 0.148298 | − | 0.333083i | 0.0107305 | − | 0.0241011i | −0.908101 | − | 0.418752i | \(-0.862468\pi\) |
0.918831 | + | 0.394651i | \(0.129134\pi\) | |||||||
\(192\) | 1.40279 | + | 0.0855594i | 0.101237 | + | 0.00617471i | ||||
\(193\) | −13.6971 | − | 15.2121i | −0.985935 | − | 1.09499i | −0.995474 | − | 0.0950378i | \(-0.969703\pi\) |
0.00953820 | − | 0.999955i | \(-0.496964\pi\) | |||||||
\(194\) | −8.69783 | + | 6.31934i | −0.624468 | + | 0.453702i | ||||
\(195\) | −11.7240 | + | 6.12630i | −0.839576 | + | 0.438713i | ||||
\(196\) | −0.670753 | − | 2.06436i | −0.0479109 | − | 0.147455i | ||||
\(197\) | 9.73411 | + | 5.61999i | 0.693527 | + | 0.400408i | 0.804932 | − | 0.593367i | \(-0.202202\pi\) |
−0.111405 | + | 0.993775i | \(0.535535\pi\) | |||||||
\(198\) | 3.41084 | + | 16.9539i | 0.242398 | + | 1.20486i | ||||
\(199\) | 9.48167 | + | 16.4227i | 0.672138 | + | 1.16418i | 0.977297 | + | 0.211876i | \(0.0679572\pi\) |
−0.305159 | + | 0.952302i | \(0.598710\pi\) | |||||||
\(200\) | −0.830605 | + | 0.269880i | −0.0587326 | + | 0.0190834i | ||||
\(201\) | 6.75324 | − | 5.37364i | 0.476337 | − | 0.379027i | ||||
\(202\) | −10.2027 | + | 22.9157i | −0.717863 | + | 1.61235i | ||||
\(203\) | −1.18019 | + | 3.63225i | −0.0828331 | + | 0.254934i | ||||
\(204\) | −7.01462 | + | 10.6018i | −0.491122 | + | 0.742278i | ||||
\(205\) | −6.50444 | + | 0.683644i | −0.454290 | + | 0.0477478i | ||||
\(206\) | 0.903626 | + | 2.02958i | 0.0629586 | + | 0.141407i | ||||
\(207\) | −2.88146 | − | 9.41340i | −0.200275 | − | 0.654277i | ||||
\(208\) | 17.0360 | − | 5.89231i | 1.18123 | − | 0.408558i | ||||
\(209\) | −1.50775 | − | 0.858064i | −0.104293 | − | 0.0593535i | ||||
\(210\) | −18.6493 | + | 4.82642i | −1.28693 | + | 0.333055i | ||||
\(211\) | −0.286440 | + | 1.34759i | −0.0197193 | + | 0.0927722i | −0.986907 | − | 0.161292i | \(-0.948434\pi\) |
0.967187 | + | 0.254064i | \(0.0817673\pi\) | |||||||
\(212\) | −5.14361 | − | 0.540615i | −0.353264 | − | 0.0371296i | ||||
\(213\) | −0.126044 | + | 0.753997i | −0.00863642 | + | 0.0516630i | ||||
\(214\) | 2.27609 | + | 10.7082i | 0.155591 | + | 0.731996i | ||||
\(215\) | 0.253409 | + | 1.19220i | 0.0172824 | + | 0.0813072i | ||||
\(216\) | −1.60699 | + | 8.69524i | −0.109342 | + | 0.591636i | ||||
\(217\) | 6.79897 | + | 0.714601i | 0.461544 | + | 0.0485102i | ||||
\(218\) | 5.81688 | − | 27.3663i | 0.393969 | − | 1.85348i | ||||
\(219\) | −0.629063 | − | 2.43071i | −0.0425082 | − | 0.164252i | ||||
\(220\) | −2.95780 | − | 6.53387i | −0.199415 | − | 0.440513i | ||||
\(221\) | 4.91077 | − | 25.4515i | 0.330334 | − | 1.71205i | ||||
\(222\) | −17.2018 | − | 8.95099i | −1.15451 | − | 0.600751i | ||||
\(223\) | −11.8798 | − | 26.6826i | −0.795533 | − | 1.78680i | −0.588566 | − | 0.808449i | \(-0.700307\pi\) |
−0.206967 | − | 0.978348i | \(-0.566359\pi\) | |||||||
\(224\) | 15.8817 | − | 1.66923i | 1.06114 | − | 0.111530i | ||||
\(225\) | −0.294288 | − | 1.51124i | −0.0196192 | − | 0.100750i | ||||
\(226\) | −1.09999 | + | 3.38542i | −0.0731702 | + | 0.225195i | ||||
\(227\) | −11.7867 | + | 26.4733i | −0.782308 | + | 1.75709i | −0.140709 | + | 0.990051i | \(0.544938\pi\) |
−0.641598 | + | 0.767041i | \(0.721728\pi\) | |||||||
\(228\) | 0.575898 | + | 0.723751i | 0.0381398 | + | 0.0479316i | ||||
\(229\) | −2.48306 | + | 0.806796i | −0.164085 | + | 0.0533146i | −0.389908 | − | 0.920854i | \(-0.627493\pi\) |
0.225822 | + | 0.974169i | \(0.427493\pi\) | |||||||
\(230\) | 6.04061 | + | 10.4626i | 0.398306 | + | 0.689886i | ||||
\(231\) | −6.18105 | − | 16.2160i | −0.406683 | − | 1.06693i | ||||
\(232\) | −1.86315 | − | 1.07569i | −0.122322 | − | 0.0706227i | ||||
\(233\) | −0.454676 | − | 1.39935i | −0.0297868 | − | 0.0916744i | 0.935058 | − | 0.354495i | \(-0.115347\pi\) |
−0.964845 | + | 0.262821i | \(0.915347\pi\) | |||||||
\(234\) | 3.94043 | + | 18.3826i | 0.257594 | + | 1.20171i | ||||
\(235\) | 13.7346 | − | 9.97879i | 0.895948 | − | 0.650945i | ||||
\(236\) | 9.38454 | + | 10.4226i | 0.610881 | + | 0.678453i | ||||
\(237\) | −1.67026 | + | 27.3848i | −0.108495 | + | 1.77883i | ||||
\(238\) | 15.3534 | − | 34.4843i | 0.995214 | − | 2.23529i | ||||
\(239\) | −5.63014 | + | 7.74922i | −0.364183 | + | 0.501255i | −0.951308 | − | 0.308241i | \(-0.900260\pi\) |
0.587125 | + | 0.809496i | \(0.300260\pi\) | |||||||
\(240\) | −0.803200 | − | 18.3250i | −0.0518463 | − | 1.18287i | ||||
\(241\) | −13.9474 | − | 24.1576i | −0.898431 | − | 1.55613i | −0.829500 | − | 0.558506i | \(-0.811375\pi\) |
−0.0689304 | − | 0.997621i | \(-0.521959\pi\) | |||||||
\(242\) | 16.4374 | − | 9.76423i | 1.05664 | − | 0.627668i | ||||
\(243\) | −14.8709 | − | 4.67493i | −0.953972 | − | 0.299897i | ||||
\(244\) | 1.73561 | − | 8.16540i | 0.111111 | − | 0.522736i | ||||
\(245\) | 4.11426 | − | 1.83179i | 0.262850 | − | 0.117029i | ||||
\(246\) | −1.53259 | + | 9.16795i | −0.0977143 | + | 0.584527i | ||||
\(247\) | −1.65074 | − | 0.912041i | −0.105034 | − | 0.0580318i | ||||
\(248\) | −1.19004 | + | 3.66255i | −0.0755673 | + | 0.232572i | ||||
\(249\) | −7.58430 | + | 9.20367i | −0.480635 | + | 0.583259i | ||||
\(250\) | 8.25571 | + | 18.5426i | 0.522137 | + | 1.17274i | ||||
\(251\) | −4.85684 | − | 4.37312i | −0.306561 | − | 0.276029i | 0.501462 | − | 0.865180i | \(-0.332796\pi\) |
−0.808023 | + | 0.589151i | \(0.799462\pi\) | |||||||
\(252\) | −0.158338 | + | 9.25098i | −0.00997434 | + | 0.582757i | ||||
\(253\) | −8.76509 | + | 6.45172i | −0.551057 | + | 0.405616i | ||||
\(254\) | 1.09427 | + | 1.89534i | 0.0686609 | + | 0.118924i | ||||
\(255\) | −23.3978 | − | 12.1751i | −1.46523 | − | 0.762433i | ||||
\(256\) | −2.00734 | + | 19.0986i | −0.125459 | + | 1.19366i | ||||
\(257\) | −23.7228 | + | 2.49337i | −1.47979 | + | 0.155532i | −0.809742 | − | 0.586786i | \(-0.800393\pi\) |
−0.670048 | + | 0.742318i | \(0.733726\pi\) | |||||||
\(258\) | 1.72902 | + | 0.105457i | 0.107644 | + | 0.00656546i | ||||
\(259\) | 18.5067 | + | 6.01318i | 1.14995 | + | 0.373641i | ||||
\(260\) | −3.30491 | − | 7.06189i | −0.204962 | − | 0.437960i | ||||
\(261\) | 2.28147 | − | 3.02975i | 0.141219 | − | 0.187537i | ||||
\(262\) | −3.73153 | + | 17.5555i | −0.230535 | + | 1.08458i | ||||
\(263\) | 6.75623 | − | 11.7021i | 0.416607 | − | 0.721584i | −0.578989 | − | 0.815335i | \(-0.696553\pi\) |
0.995596 | + | 0.0937513i | \(0.0298859\pi\) | |||||||
\(264\) | 9.65895 | − | 1.50657i | 0.594467 | − | 0.0927230i | ||||
\(265\) | − | 10.7309i | − | 0.659192i | ||||||
\(266\) | −2.04100 | − | 1.83772i | −0.125142 | − | 0.112678i | ||||
\(267\) | −0.144454 | − | 0.181541i | −0.00884046 | − | 0.0111101i | ||||
\(268\) | 2.99000 | + | 4.11538i | 0.182643 | + | 0.251387i | ||||
\(269\) | −4.09680 | − | 19.2739i | −0.249786 | − | 1.17515i | −0.906895 | − | 0.421357i | \(-0.861554\pi\) |
0.657109 | − | 0.753796i | \(-0.271779\pi\) | |||||||
\(270\) | 19.0719 | + | 1.49123i | 1.16068 | + | 0.0907534i | ||||
\(271\) | −1.93872 | − | 18.4457i | −0.117769 | − | 1.12050i | −0.880588 | − | 0.473884i | \(-0.842852\pi\) |
0.762819 | − | 0.646613i | \(-0.223815\pi\) | |||||||
\(272\) | 29.0783 | + | 21.1266i | 1.76313 | + | 1.28099i | ||||
\(273\) | −6.94159 | − | 17.5424i | −0.420124 | − | 1.06171i | ||||
\(274\) | 39.1370i | 2.36435i | ||||||||
\(275\) | −1.46877 | + | 0.860197i | −0.0885704 | + | 0.0518718i | ||||
\(276\) | 5.61751 | − | 1.45380i | 0.338134 | − | 0.0875086i | ||||
\(277\) | 1.63001 | + | 1.46766i | 0.0979376 | + | 0.0881834i | 0.716645 | − | 0.697438i | \(-0.245677\pi\) |
−0.618708 | + | 0.785621i | \(0.712343\pi\) | |||||||
\(278\) | −21.4442 | − | 15.5801i | −1.28613 | − | 0.934432i | ||||
\(279\) | −6.15390 | − | 2.86707i | −0.368425 | − | 0.171647i | ||||
\(280\) | 2.26403 | + | 10.6514i | 0.135302 | + | 0.636545i | ||||
\(281\) | −14.5998 | − | 4.74377i | −0.870952 | − | 0.282989i | −0.160756 | − | 0.986994i | \(-0.551393\pi\) |
−0.710195 | + | 0.704005i | \(0.751393\pi\) | |||||||
\(282\) | −8.45363 | − | 22.5986i | −0.503406 | − | 1.34572i | ||||
\(283\) | −4.69472 | − | 10.5445i | −0.279072 | − | 0.626806i | 0.718569 | − | 0.695456i | \(-0.244798\pi\) |
−0.997641 | + | 0.0686499i | \(0.978131\pi\) | |||||||
\(284\) | −0.440742 | − | 0.0936827i | −0.0261533 | − | 0.00555905i | ||||
\(285\) | −1.36853 | + | 1.34531i | −0.0810648 | + | 0.0796892i | ||||
\(286\) | 17.7339 | − | 10.8396i | 1.04863 | − | 0.640962i | ||||
\(287\) | − | 9.32763i | − | 0.550593i | ||||||
\(288\) | −15.4532 | − | 3.56213i | −0.910588 | − | 0.209901i | ||||
\(289\) | 31.6856 | − | 14.1074i | 1.86386 | − | 0.829844i | ||||
\(290\) | −1.89311 | + | 4.25199i | −0.111167 | + | 0.249686i | ||||
\(291\) | −9.58737 | + | 4.78212i | −0.562022 | + | 0.280333i | ||||
\(292\) | 1.44757 | − | 0.307691i | 0.0847128 | − | 0.0180063i | ||||
\(293\) | −5.09108 | + | 11.4348i | −0.297424 | + | 0.668026i | −0.999007 | − | 0.0445626i | \(-0.985811\pi\) |
0.701582 | + | 0.712588i | \(0.252477\pi\) | |||||||
\(294\) | −0.947148 | − | 6.33017i | −0.0552388 | − | 0.369183i | ||||
\(295\) | −19.4713 | + | 21.6250i | −1.13366 | + | 1.25906i | ||||
\(296\) | −5.48075 | + | 9.49294i | −0.318562 | + | 0.551766i | ||||
\(297\) | 0.566818 | + | 17.2244i | 0.0328901 | + | 0.999459i | ||||
\(298\) | 16.7923 | 0.972751 | ||||||||
\(299\) | −9.43933 | + | 7.13353i | −0.545891 | + | 0.412543i | ||||
\(300\) | 0.897501 | − | 0.134288i | 0.0518172 | − | 0.00775312i | ||||
\(301\) | −1.72876 | + | 0.181700i | −0.0996440 | + | 0.0104730i | ||||
\(302\) | −22.9437 | + | 20.6586i | −1.32026 | + | 1.18877i | ||||
\(303\) | −13.7935 | + | 20.8474i | −0.792415 | + | 1.19765i | ||||
\(304\) | 2.11566 | − | 1.53712i | 0.121342 | − | 0.0881598i | ||||
\(305\) | 17.2254 | + | 1.81046i | 0.986322 | + | 0.103667i | ||||
\(306\) | −25.5561 | + | 27.4242i | −1.46094 | + | 1.56774i | ||||
\(307\) | −7.19454 | −0.410614 | −0.205307 | − | 0.978698i | \(-0.565819\pi\) | ||||
−0.205307 | + | 0.978698i | \(0.565819\pi\) | |||||||
\(308\) | 9.70840 | − | 3.22121i | 0.553187 | − | 0.183546i | ||||
\(309\) | 0.554692 | + | 2.14333i | 0.0315553 | + | 0.121930i | ||||
\(310\) | 8.14941 | + | 1.73221i | 0.462855 | + | 0.0983829i | ||||
\(311\) | 0.950196 | − | 1.30783i | 0.0538807 | − | 0.0741604i | −0.781226 | − | 0.624248i | \(-0.785406\pi\) |
0.835107 | + | 0.550087i | \(0.185406\pi\) | |||||||
\(312\) | 10.4789 | − | 1.77028i | 0.593249 | − | 0.100223i | ||||
\(313\) | −6.12185 | + | 18.8411i | −0.346027 | + | 1.06496i | 0.615004 | + | 0.788524i | \(0.289154\pi\) |
−0.961032 | + | 0.276439i | \(0.910846\pi\) | |||||||
\(314\) | −9.89626 | + | 8.91063i | −0.558478 | + | 0.502856i | ||||
\(315\) | −19.1234 | + | 1.67961i | −1.07748 | + | 0.0946355i | ||||
\(316\) | −16.0826 | − | 1.69035i | −0.904715 | − | 0.0950894i | ||||
\(317\) | 5.04179 | + | 15.5170i | 0.283175 | + | 0.871523i | 0.986940 | + | 0.161090i | \(0.0515009\pi\) |
−0.703765 | + | 0.710433i | \(0.748499\pi\) | |||||||
\(318\) | −14.6970 | − | 4.07314i | −0.824164 | − | 0.228410i | ||||
\(319\) | −3.99572 | − | 1.27092i | −0.223717 | − | 0.0711580i | ||||
\(320\) | −1.71872 | −0.0960794 | ||||||||
\(321\) | 0.477712 | + | 10.8990i | 0.0266633 | + | 0.608323i | ||||
\(322\) | −15.7404 | + | 7.00809i | −0.877180 | + | 0.390546i | ||||
\(323\) | −0.393070 | − | 3.73981i | −0.0218710 | − | 0.208089i | ||||
\(324\) | 3.13668 | − | 8.63618i | 0.174260 | − | 0.479788i | ||||
\(325\) | −1.58479 | + | 0.955222i | −0.0879083 | + | 0.0529862i | ||||
\(326\) | 24.7694 | − | 17.9960i | 1.37185 | − | 0.996706i | ||||
\(327\) | 10.2139 | − | 25.9424i | 0.564830 | − | 1.43462i | ||||
\(328\) | 5.13954 | + | 1.09244i | 0.283784 | + | 0.0603201i | ||||
\(329\) | 12.1061 | + | 20.9684i | 0.667432 | + | 1.15603i | ||||
\(330\) | −5.42579 | − | 20.4413i | −0.298680 | − | 1.12526i | ||||
\(331\) | 30.0193 | − | 17.3317i | 1.65001 | − | 0.952634i | 0.672945 | − | 0.739692i | \(-0.265029\pi\) |
0.977065 | − | 0.212941i | \(-0.0683043\pi\) | |||||||
\(332\) | −5.22388 | − | 4.70360i | −0.286698 | − | 0.258144i | ||||
\(333\) | −15.4368 | − | 11.6243i | −0.845934 | − | 0.637007i | ||||
\(334\) | 21.6802 | + | 9.65264i | 1.18629 | + | 0.528169i | ||||
\(335\) | −7.84345 | + | 7.06227i | −0.428533 | + | 0.385853i | ||||
\(336\) | 26.1114 | + | 1.59260i | 1.42449 | + | 0.0868833i | ||||
\(337\) | 15.4366 | + | 21.2466i | 0.840885 | + | 1.15738i | 0.985798 | + | 0.167934i | \(0.0537097\pi\) |
−0.144913 | + | 0.989444i | \(0.546290\pi\) | |||||||
\(338\) | 19.1285 | − | 12.0265i | 1.04045 | − | 0.654153i | ||||
\(339\) | −1.63743 | + | 3.14677i | −0.0889329 | + | 0.170909i | ||||
\(340\) | 7.77326 | − | 13.4637i | 0.421564 | − | 0.730171i | ||||
\(341\) | −0.738192 | + | 7.46914i | −0.0399754 | + | 0.404477i | ||||
\(342\) | 1.32307 | + | 2.38498i | 0.0715435 | + | 0.128965i | ||||
\(343\) | −4.54986 | − | 14.0030i | −0.245670 | − | 0.756093i | ||||
\(344\) | 0.102354 | − | 0.973830i | 0.00551854 | − | 0.0525054i | ||||
\(345\) | 4.21818 | + | 11.2762i | 0.227099 | + | 0.607090i | ||||
\(346\) | −32.0730 | − | 10.4211i | −1.72426 | − | 0.560244i | ||||
\(347\) | 31.8212 | − | 6.76379i | 1.70825 | − | 0.363100i | 0.752799 | − | 0.658251i | \(-0.228703\pi\) |
0.955450 | + | 0.295151i | \(0.0953701\pi\) | |||||||
\(348\) | 1.72520 | + | 1.42165i | 0.0924805 | + | 0.0762087i | ||||
\(349\) | 10.2105 | − | 4.54600i | 0.546554 | − | 0.243342i | −0.114835 | − | 0.993385i | \(-0.536634\pi\) |
0.661389 | + | 0.750043i | \(0.269967\pi\) | |||||||
\(350\) | −2.56280 | + | 0.832704i | −0.136987 | + | 0.0445099i | ||||
\(351\) | 0.852606 | + | 18.7156i | 0.0455087 | + | 0.998964i | ||||
\(352\) | 1.94081 | + | 17.4244i | 0.103445 | + | 0.928724i | ||||
\(353\) | 6.91285 | − | 11.9734i | 0.367934 | − | 0.637280i | −0.621309 | − | 0.783566i | \(-0.713399\pi\) |
0.989242 | + | 0.146286i | \(0.0467320\pi\) | |||||||
\(354\) | 22.2268 | + | 34.8760i | 1.18134 | + | 1.85364i | ||||
\(355\) | 0.0977229 | − | 0.929772i | 0.00518659 | − | 0.0493472i | ||||
\(356\) | 0.110630 | − | 0.0803772i | 0.00586336 | − | 0.00425998i | ||||
\(357\) | 20.7569 | − | 31.3718i | 1.09857 | − | 1.66037i | ||||
\(358\) | −8.32076 | + | 1.76863i | −0.439766 | + | 0.0934751i | ||||
\(359\) | 0.779875 | + | 1.07341i | 0.0411602 | + | 0.0566522i | 0.829101 | − | 0.559099i | \(-0.188853\pi\) |
−0.787941 | + | 0.615751i | \(0.788853\pi\) | |||||||
\(360\) | 1.31424 | − | 10.7337i | 0.0692665 | − | 0.565717i | ||||
\(361\) | 18.3172 | + | 3.89344i | 0.964062 | + | 0.204918i | ||||
\(362\) | −30.9161 | − | 17.8494i | −1.62491 | − | 0.938145i | ||||
\(363\) | 17.7606 | − | 6.89639i | 0.932191 | − | 0.361967i | ||||
\(364\) | 10.5091 | − | 3.63482i | 0.550825 | − | 0.190517i | ||||
\(365\) | 0.948855 | + | 2.92027i | 0.0496653 | + | 0.152854i | ||||
\(366\) | 9.01787 | − | 22.9046i | 0.471372 | − | 1.19724i | ||||
\(367\) | 2.01021 | + | 19.1259i | 0.104932 | + | 0.998364i | 0.912635 | + | 0.408775i | \(0.134044\pi\) |
−0.807703 | + | 0.589590i | \(0.799289\pi\) | |||||||
\(368\) | −3.41103 | − | 16.0476i | −0.177812 | − | 0.836540i | ||||
\(369\) | −3.01275 | + | 8.75931i | −0.156837 | + | 0.455991i | ||||
\(370\) | 21.6643 | + | 9.64556i | 1.12627 | + | 0.501449i | ||||
\(371\) | 15.2204 | + | 1.59972i | 0.790202 | + | 0.0830536i | ||||
\(372\) | 1.84712 | − | 3.54976i | 0.0957689 | − | 0.184047i | ||||
\(373\) | 31.6177 | − | 18.2545i | 1.63710 | − | 0.945181i | 0.655277 | − | 0.755389i | \(-0.272552\pi\) |
0.981824 | − | 0.189792i | \(-0.0607813\pi\) | |||||||
\(374\) | 37.9634 | + | 16.6208i | 1.96304 | + | 0.859440i | ||||
\(375\) | 5.06778 | + | 19.5819i | 0.261699 | + | 1.01121i | ||||
\(376\) | −12.9715 | + | 4.21470i | −0.668954 | + | 0.217356i | ||||
\(377\) | −4.36091 | − | 1.32667i | −0.224598 | − | 0.0683272i | ||||
\(378\) | −4.95831 | + | 26.8288i | −0.255028 | + | 1.37993i | ||||
\(379\) | −1.71069 | + | 1.54031i | −0.0878722 | + | 0.0791205i | −0.711896 | − | 0.702285i | \(-0.752163\pi\) |
0.624024 | + | 0.781405i | \(0.285497\pi\) | |||||||
\(380\) | −0.756871 | − | 0.840590i | −0.0388266 | − | 0.0431214i | ||||
\(381\) | 0.764135 | + | 2.04272i | 0.0391478 | + | 0.104652i | ||||
\(382\) | 0.512683 | + | 0.372486i | 0.0262312 | + | 0.0190580i | ||||
\(383\) | 9.77956 | − | 10.8613i | 0.499712 | − | 0.554987i | −0.439536 | − | 0.898225i | \(-0.644857\pi\) |
0.939248 | + | 0.343238i | \(0.111524\pi\) | |||||||
\(384\) | −5.54299 | + | 20.0005i | −0.282864 | + | 1.02065i | ||||
\(385\) | 8.75238 | + | 19.3343i | 0.446062 | + | 0.985366i | ||||
\(386\) | 30.8117 | − | 17.7891i | 1.56827 | − | 0.905443i | ||||
\(387\) | 1.68211 | + | 0.387746i | 0.0855066 | + | 0.0197102i | ||||
\(388\) | −2.56853 | − | 5.76900i | −0.130397 | − | 0.292877i | ||||
\(389\) | −16.1116 | − | 22.1757i | −0.816889 | − | 1.12435i | −0.990224 | − | 0.139488i | \(-0.955454\pi\) |
0.173335 | − | 0.984863i | \(-0.444546\pi\) | |||||||
\(390\) | −6.17861 | − | 22.1458i | −0.312866 | − | 1.12140i | ||||
\(391\) | −22.4367 | − | 7.29013i | −1.13467 | − | 0.368678i | ||||
\(392\) | −3.59833 | + | 0.378199i | −0.181743 | + | 0.0191019i | ||||
\(393\) | −6.55222 | + | 16.6421i | −0.330516 | + | 0.839481i | ||||
\(394\) | −13.0721 | + | 14.5180i | −0.658563 | + | 0.731408i | ||||
\(395\) | − | 33.5523i | − | 1.68820i | ||||||
\(396\) | −10.1573 | − | 0.110787i | −0.510423 | − | 0.00556728i | ||||
\(397\) | −9.13449 | + | 5.27380i | −0.458447 | + | 0.264684i | −0.711391 | − | 0.702797i | \(-0.751934\pi\) |
0.252944 | + | 0.967481i | \(0.418601\pi\) | |||||||
\(398\) | −31.3466 | + | 10.1851i | −1.57126 | + | 0.510534i | ||||
\(399\) | −1.70413 | − | 2.14164i | −0.0853133 | − | 0.107216i | ||||
\(400\) | −0.268202 | − | 2.55177i | −0.0134101 | − | 0.127589i | ||||
\(401\) | 12.2910 | + | 13.6506i | 0.613784 | + | 0.681677i | 0.967266 | − | 0.253765i | \(-0.0816689\pi\) |
−0.353482 | + | 0.935442i | \(0.615002\pi\) | |||||||
\(402\) | 6.69530 | + | 13.4230i | 0.333931 | + | 0.669478i | ||||
\(403\) | −0.699899 | + | 8.12930i | −0.0348644 | + | 0.404949i | ||||
\(404\) | −11.9201 | − | 8.66044i | −0.593046 | − | 0.430873i | ||||
\(405\) | 18.5007 | + | 4.59941i | 0.919306 | + | 0.228547i | ||||
\(406\) | −5.74869 | − | 3.31901i | −0.285303 | − | 0.164720i | ||||
\(407\) | −6.47546 | + | 20.3586i | −0.320977 | + | 1.00914i | ||||
\(408\) | 14.8549 | + | 15.1113i | 0.735426 | + | 0.748121i | ||||
\(409\) | 3.57711 | − | 3.97278i | 0.176877 | − | 0.196442i | −0.648187 | − | 0.761481i | \(-0.724472\pi\) |
0.825064 | + | 0.565040i | \(0.191139\pi\) | |||||||
\(410\) | 1.18823 | − | 11.3052i | 0.0586823 | − | 0.558324i | ||||
\(411\) | −6.43055 | + | 38.4676i | −0.317196 | + | 1.89746i | ||||
\(412\) | −1.27643 | + | 0.271314i | −0.0628853 | + | 0.0133667i | ||||
\(413\) | −27.7696 | − | 30.8413i | −1.36645 | − | 1.51760i | ||||
\(414\) | 17.0449 | − | 1.49706i | 0.837713 | − | 0.0735767i | ||||
\(415\) | 8.57275 | − | 11.7994i | 0.420820 | − | 0.579209i | ||||
\(416\) | 2.34891 | + | 18.9142i | 0.115165 | + | 0.927344i | ||||
\(417\) | −18.5174 | − | 18.8370i | −0.906801 | − | 0.922454i | ||||
\(418\) | 2.00364 | − | 2.25324i | 0.0980012 | − | 0.110210i | ||||
\(419\) | 6.65477 | + | 3.84213i | 0.325107 | + | 0.187700i | 0.653666 | − | 0.756783i | \(-0.273230\pi\) |
−0.328560 | + | 0.944483i | \(0.606563\pi\) | |||||||
\(420\) | −0.495475 | − | 11.3043i | −0.0241767 | − | 0.551591i | ||||
\(421\) | −22.4344 | + | 30.8783i | −1.09338 | + | 1.50491i | −0.249510 | + | 0.968372i | \(0.580270\pi\) |
−0.843874 | + | 0.536542i | \(0.819730\pi\) | |||||||
\(422\) | −2.18753 | − | 0.973950i | −0.106487 | − | 0.0474111i | ||||
\(423\) | −4.59588 | − | 23.6010i | −0.223459 | − | 1.14752i | ||||
\(424\) | −2.66405 | + | 8.19909i | −0.129378 | + | 0.398183i | ||||
\(425\) | −3.37058 | − | 1.50068i | −0.163497 | − | 0.0727937i | ||||
\(426\) | −1.23632 | − | 0.486757i | −0.0598998 | − | 0.0235834i | ||||
\(427\) | −5.13581 | + | 24.1621i | −0.248539 | + | 1.16929i | ||||
\(428\) | −6.43027 | −0.310819 | ||||||||
\(429\) | 19.2116 | − | 7.74039i | 0.927546 | − | 0.373710i | ||||
\(430\) | −2.11842 | −0.102159 | ||||||||
\(431\) | 2.83581 | − | 13.3415i | 0.136596 | − | 0.642635i | −0.855567 | − | 0.517691i | \(-0.826792\pi\) |
0.992164 | − | 0.124944i | \(-0.0398751\pi\) | |||||||
\(432\) | −24.0061 | − | 9.92933i | −1.15499 | − | 0.477725i | ||||
\(433\) | −27.1433 | − | 12.0850i | −1.30442 | − | 0.580767i | −0.367410 | − | 0.930059i | \(-0.619755\pi\) |
−0.937014 | + | 0.349293i | \(0.886422\pi\) | |||||||
\(434\) | −3.67181 | + | 11.3007i | −0.176252 | + | 0.542449i | ||||
\(435\) | −2.55937 | + | 3.86821i | −0.122712 | + | 0.185466i | ||||
\(436\) | 15.0127 | + | 6.68409i | 0.718978 | + | 0.320110i | ||||
\(437\) | −1.00890 | + | 1.38864i | −0.0482623 | + | 0.0664274i | ||||
\(438\) | 4.35975 | − | 0.191092i | 0.208317 | − | 0.00913072i | ||||
\(439\) | −5.31104 | − | 3.06633i | −0.253482 | − | 0.146348i | 0.367875 | − | 0.929875i | \(-0.380085\pi\) |
−0.621358 | + | 0.783527i | \(0.713419\pi\) | |||||||
\(440\) | −11.6783 | + | 2.55816i | −0.556741 | + | 0.121956i | ||||
\(441\) | 0.109156 | − | 6.37751i | 0.00519791 | − | 0.303691i | ||||
\(442\) | 41.4954 | + | 17.5461i | 1.97373 | + | 0.834582i | ||||
\(443\) | −1.60114 | + | 2.20378i | −0.0760726 | + | 0.104705i | −0.845358 | − | 0.534201i | \(-0.820613\pi\) |
0.769285 | + | 0.638906i | \(0.220613\pi\) | |||||||
\(444\) | 7.24346 | − | 8.79005i | 0.343759 | − | 0.417158i | ||||
\(445\) | 0.189848 | + | 0.210848i | 0.00899967 | + | 0.00999515i | ||||
\(446\) | 49.6559 | − | 10.5547i | 2.35127 | − | 0.499779i | ||||
\(447\) | 16.5050 | + | 2.75912i | 0.780662 | + | 0.130502i | ||||
\(448\) | 0.256222 | − | 2.43779i | 0.0121053 | − | 0.115175i | ||||
\(449\) | 2.53328 | − | 2.81349i | 0.119553 | − | 0.132777i | −0.680397 | − | 0.732844i | \(-0.738193\pi\) |
0.799950 | + | 0.600067i | \(0.204859\pi\) | |||||||
\(450\) | 2.67561 | + | 0.0457950i | 0.126129 | + | 0.00215880i | ||||
\(451\) | 10.2404 | − | 0.0635664i | 0.482200 | − | 0.00299322i | ||||
\(452\) | −1.81073 | − | 1.04543i | −0.0851698 | − | 0.0491728i | ||||
\(453\) | −25.9457 | + | 16.5354i | −1.21903 | + | 0.776901i | ||||
\(454\) | −40.7477 | − | 29.6050i | −1.91239 | − | 1.38943i | ||||
\(455\) | 9.77950 | + | 20.8967i | 0.458470 | + | 0.979654i | ||||
\(456\) | 1.37963 | − | 0.688152i | 0.0646073 | − | 0.0322257i | ||||
\(457\) | −16.4624 | − | 18.2833i | −0.770077 | − | 0.855257i | 0.222743 | − | 0.974877i | \(-0.428499\pi\) |
−0.992820 | + | 0.119620i | \(0.961832\pi\) | |||||||
\(458\) | −0.474335 | − | 4.51299i | −0.0221642 | − | 0.210878i | ||||
\(459\) | −29.6250 | + | 22.7560i | −1.38278 | + | 1.06216i | ||||
\(460\) | −6.74892 | + | 2.19286i | −0.314670 | + | 0.102243i | ||||
\(461\) | 10.6654 | − | 6.15770i | 0.496739 | − | 0.286792i | −0.230627 | − | 0.973042i | \(-0.574078\pi\) |
0.727366 | + | 0.686250i | \(0.240744\pi\) | |||||||
\(462\) | 29.8023 | − | 4.64846i | 1.38653 | − | 0.216266i | ||||
\(463\) | 13.6329i | 0.633572i | 0.948497 | + | 0.316786i | \(0.102604\pi\) | ||||
−0.948497 | + | 0.316786i | \(0.897396\pi\) | |||||||
\(464\) | 4.22930 | − | 4.69712i | 0.196340 | − | 0.218058i | ||||
\(465\) | 7.72539 | + | 3.04160i | 0.358256 | + | 0.141051i | ||||
\(466\) | 2.54333 | − | 0.267315i | 0.117818 | − | 0.0123831i | ||||
\(467\) | −21.7442 | − | 7.06513i | −1.00620 | − | 0.326935i | −0.240862 | − | 0.970559i | \(-0.577430\pi\) |
−0.765342 | + | 0.643624i | \(0.777430\pi\) | |||||||
\(468\) | −11.0428 | + | 0.0190115i | −0.510453 | + | 0.000878807i | ||||
\(469\) | −8.84765 | − | 12.1778i | −0.408547 | − | 0.562316i | ||||
\(470\) | 12.0017 | + | 26.9562i | 0.553595 | + | 1.24340i | ||||
\(471\) | −11.1911 | + | 7.13217i | −0.515658 | + | 0.328633i | ||||
\(472\) | 20.2460 | − | 11.6890i | 0.931897 | − | 0.538031i | ||||
\(473\) | −0.211261 | − | 1.89668i | −0.00971379 | − | 0.0872096i | ||||
\(474\) | −45.9531 | − | 12.7355i | −2.11070 | − | 0.584962i | ||||
\(475\) | −0.179623 | + | 0.199492i | −0.00824169 | + | 0.00915332i | ||||
\(476\) | 17.9377 | + | 13.0325i | 0.822173 | + | 0.597344i | ||||
\(477\) | −13.7763 | − | 6.41831i | −0.630773 | − | 0.293874i | ||||
\(478\) | −11.1399 | − | 12.3721i | −0.509525 | − | 0.565885i | ||||
\(479\) | 16.1237 | − | 14.5178i | 0.736709 | − | 0.663336i | −0.212793 | − | 0.977097i | \(-0.568256\pi\) |
0.949502 | + | 0.313761i | \(0.101589\pi\) | |||||||
\(480\) | 19.1286 | + | 3.19769i | 0.873096 | + | 0.145954i | ||||
\(481\) | −6.75953 | + | 22.2192i | −0.308208 | + | 1.01311i | ||||
\(482\) | 46.1103 | − | 14.9822i | 2.10027 | − | 0.682418i | ||||
\(483\) | −16.6227 | + | 4.30192i | −0.756358 | + | 0.195744i | ||||
\(484\) | 3.60258 | + | 10.6364i | 0.163754 | + | 0.483475i | ||||
\(485\) | 11.3470 | − | 6.55122i | 0.515243 | − | 0.297476i | ||||
\(486\) | 13.3217 | − | 23.5927i | 0.604284 | − | 1.07018i | ||||
\(487\) | 12.9607 | + | 1.36223i | 0.587307 | + | 0.0617284i | 0.393521 | − | 0.919315i | \(-0.371257\pi\) |
0.193786 | + | 0.981044i | \(0.437923\pi\) | |||||||
\(488\) | −12.7119 | − | 5.65968i | −0.575439 | − | 0.256202i | ||||
\(489\) | 27.3026 | − | 13.6183i | 1.23467 | − | 0.615843i | ||||
\(490\) | 1.62746 | + | 7.65658i | 0.0735210 | + | 0.345889i | ||||
\(491\) | 0.154968 | + | 1.47442i | 0.00699359 | + | 0.0665396i | 0.997462 | − | 0.0712002i | \(-0.0226829\pi\) |
−0.990468 | + | 0.137740i | \(0.956016\pi\) | |||||||
\(492\) | −5.08021 | − | 2.00015i | −0.229034 | − | 0.0901738i | ||||
\(493\) | −2.80858 | − | 8.64393i | −0.126492 | − | 0.389303i | ||||
\(494\) | 2.14708 | − | 2.47684i | 0.0966017 | − | 0.111438i | ||||
\(495\) | −1.97429 | − | 20.9832i | −0.0887378 | − | 0.943124i | ||||
\(496\) | −9.79823 | − | 5.65701i | −0.439954 | − | 0.254007i | ||||
\(497\) | 1.30419 | + | 0.277215i | 0.0585011 | + | 0.0124348i | ||||
\(498\) | −12.9064 | − | 16.2199i | −0.578349 | − | 0.726832i | ||||
\(499\) | −9.57151 | − | 13.1741i | −0.428480 | − | 0.589752i | 0.539124 | − | 0.842227i | \(-0.318755\pi\) |
−0.967603 | + | 0.252475i | \(0.918755\pi\) | |||||||
\(500\) | −11.6617 | + | 2.47878i | −0.521529 | + | 0.110854i | ||||
\(501\) | 19.7233 | + | 13.0498i | 0.881173 | + | 0.583021i | ||||
\(502\) | 9.18982 | − | 6.67680i | 0.410162 | − | 0.298000i | ||||
\(503\) | 3.76141 | − | 35.7874i | 0.167713 | − | 1.59568i | −0.509880 | − | 0.860246i | \(-0.670310\pi\) |
0.677593 | − | 0.735437i | \(-0.263023\pi\) | |||||||
\(504\) | 15.0285 | + | 3.46423i | 0.669422 | + | 0.154309i | ||||
\(505\) | 15.2853 | − | 26.4749i | 0.680185 | − | 1.17812i | ||||
\(506\) | −7.80112 | − | 17.2329i | −0.346802 | − | 0.766097i | ||||
\(507\) | 20.7773 | − | 8.67776i | 0.922753 | − | 0.385393i | ||||
\(508\) | −1.22259 | + | 0.397243i | −0.0542436 | + | 0.0176248i | ||||
\(509\) | −30.2122 | + | 13.4513i | −1.33913 | + | 0.596219i | −0.946270 | − | 0.323379i | \(-0.895181\pi\) |
−0.392861 | + | 0.919598i | \(0.628514\pi\) | |||||||
\(510\) | 29.1540 | − | 35.3788i | 1.29096 | − | 1.56660i | ||||
\(511\) | −4.28349 | + | 0.910484i | −0.189490 | + | 0.0402774i | ||||
\(512\) | −8.95185 | − | 2.90863i | −0.395620 | − | 0.128545i | ||||
\(513\) | 0.908567 | + | 2.56157i | 0.0401142 | + | 0.113096i | ||||
\(514\) | 4.33367 | − | 41.2321i | 0.191150 | − | 1.81867i | ||||
\(515\) | −0.836675 | − | 2.57502i | −0.0368683 | − | 0.113469i | ||||
\(516\) | −0.271742 | + | 0.980515i | −0.0119628 | + | 0.0431648i | ||||
\(517\) | −22.9377 | + | 13.4336i | −1.00880 | + | 0.590811i | ||||
\(518\) | −16.9106 | + | 29.2901i | −0.743011 | + | 1.28693i | ||||
\(519\) | −29.8121 | − | 15.5128i | −1.30861 | − | 0.680935i | ||||
\(520\) | −12.6595 | + | 2.94112i | −0.555156 | + | 0.128977i | ||||
\(521\) | 10.4083 | + | 14.3258i | 0.455995 | + | 0.627624i | 0.973672 | − | 0.227952i | \(-0.0732031\pi\) |
−0.517677 | + | 0.855576i | \(0.673203\pi\) | |||||||
\(522\) | 4.32642 | + | 4.97356i | 0.189362 | + | 0.217687i | ||||
\(523\) | 3.78403 | − | 3.40715i | 0.165464 | − | 0.148984i | −0.582239 | − | 0.813017i | \(-0.697823\pi\) |
0.747703 | + | 0.664033i | \(0.231157\pi\) | |||||||
\(524\) | −9.63066 | − | 4.28785i | −0.420718 | − | 0.187316i | ||||
\(525\) | −2.65578 | + | 0.397370i | −0.115908 | + | 0.0173426i | ||||
\(526\) | 17.4533 | + | 15.7150i | 0.760998 | + | 0.685206i | ||||
\(527\) | −14.0895 | + | 8.13456i | −0.613747 | + | 0.354347i | ||||
\(528\) | −1.57049 | + | 28.6773i | −0.0683469 | + | 1.24802i | ||||
\(529\) | −6.11584 | − | 10.5929i | −0.265906 | − | 0.460563i | ||||
\(530\) | 18.2435 | + | 3.87777i | 0.792447 | + | 0.168440i | ||||
\(531\) | 16.1162 | + | 37.9315i | 0.699382 | + | 1.64609i | ||||
\(532\) | 1.30510 | − | 0.948212i | 0.0565833 | − | 0.0411102i | ||||
\(533\) | 11.1307 | − | 0.209679i | 0.482124 | − | 0.00908223i | ||||
\(534\) | 0.360837 | − | 0.179983i | 0.0156150 | − | 0.00778864i | ||||
\(535\) | −1.39458 | − | 13.2686i | −0.0602932 | − | 0.573651i | ||||
\(536\) | 7.74619 | − | 3.44883i | 0.334585 | − | 0.148967i | ||||
\(537\) | −8.46903 | + | 0.371205i | −0.365466 | + | 0.0160187i | ||||
\(538\) | 34.2480 | 1.47653 | ||||||||
\(539\) | −6.69285 | + | 2.22066i | −0.288282 | + | 0.0956508i | ||||
\(540\) | −3.18589 | + | 10.7755i | −0.137099 | + | 0.463705i | ||||
\(541\) | 2.51308 | + | 7.73447i | 0.108046 | + | 0.332531i | 0.990433 | − | 0.137993i | \(-0.0440651\pi\) |
−0.882387 | + | 0.470524i | \(0.844065\pi\) | |||||||
\(542\) | 32.0600 | + | 3.36964i | 1.37710 | + | 0.144739i | ||||
\(543\) | −27.4545 | − | 22.6239i | −1.17818 | − | 0.970884i | ||||
\(544\) | −28.2418 | + | 25.4290i | −1.21086 | + | 1.09026i | ||||
\(545\) | −10.5364 | + | 32.4277i | −0.451330 | + | 1.38905i | ||||
\(546\) | 32.3321 | − | 5.46214i | 1.38369 | − | 0.233758i | ||||
\(547\) | −8.32395 | + | 11.4569i | −0.355906 | + | 0.489863i | −0.949003 | − | 0.315269i | \(-0.897905\pi\) |
0.593096 | + | 0.805132i | \(0.297905\pi\) | |||||||
\(548\) | −22.4859 | − | 4.77952i | −0.960549 | − | 0.204171i | ||||
\(549\) | 12.6270 | − | 21.0311i | 0.538909 | − | 0.897585i | ||||
\(550\) | −0.931651 | − | 2.80790i | −0.0397257 | − | 0.119729i | ||||
\(551\) | −0.661275 | −0.0281713 | ||||||||
\(552\) | −0.423536 | − | 9.66296i | −0.0180269 | − | 0.411283i | ||||
\(553\) | 47.5897 | + | 5.00188i | 2.02372 | + | 0.212701i | ||||
\(554\) | −3.08420 | + | 2.24080i | −0.131035 | + | 0.0952025i | ||||
\(555\) | 19.7089 | + | 13.0402i | 0.836595 | + | 0.553526i | ||||
\(556\) | 11.5702 | − | 10.4179i | 0.490687 | − | 0.441817i | ||||
\(557\) | −21.9486 | + | 2.30689i | −0.929991 | + | 0.0977460i | −0.557395 | − | 0.830248i | \(-0.688199\pi\) |
−0.372596 | + | 0.927994i | \(0.621532\pi\) | |||||||
\(558\) | 7.09811 | − | 9.42616i | 0.300487 | − | 0.399041i | ||||
\(559\) | −0.255684 | − | 2.05885i | −0.0108143 | − | 0.0870800i | ||||
\(560\) | −31.9922 | −1.35192 | ||||||||
\(561\) | 34.5830 | + | 22.5742i | 1.46010 | + | 0.953083i | ||||
\(562\) | 13.3407 | − | 23.1068i | 0.562745 | − | 0.974702i | ||||
\(563\) | −6.26972 | + | 6.96323i | −0.264237 | + | 0.293465i | −0.860633 | − | 0.509225i | \(-0.829932\pi\) |
0.596396 | + | 0.802690i | \(0.296599\pi\) | |||||||
\(564\) | 14.0162 | − | 2.09717i | 0.590189 | − | 0.0883067i | ||||
\(565\) | 1.76449 | − | 3.96311i | 0.0742326 | − | 0.166729i | ||||
\(566\) | 19.6232 | − | 4.17103i | 0.824824 | − | 0.175322i | ||||
\(567\) | −9.28170 | + | 25.5552i | −0.389795 | + | 1.07322i | ||||
\(568\) | −0.305492 | + | 0.686146i | −0.0128182 | + | 0.0287901i | ||||
\(569\) | −27.4926 | + | 12.2405i | −1.15255 | + | 0.513148i | −0.891877 | − | 0.452279i | \(-0.850611\pi\) |
−0.260673 | + | 0.965427i | \(0.583945\pi\) | |||||||
\(570\) | −1.79261 | − | 2.81278i | −0.0750842 | − | 0.117814i | ||||
\(571\) | 1.89805i | 0.0794310i | 0.999211 | + | 0.0397155i | \(0.0126452\pi\) | ||||
−0.999211 | + | 0.0397155i | \(0.987355\pi\) | |||||||
\(572\) | 4.06212 | + | 11.5127i | 0.169846 | + | 0.481368i | ||||
\(573\) | 0.442711 | + | 0.450353i | 0.0184945 | + | 0.0188138i | ||||
\(574\) | 15.8579 | + | 3.37069i | 0.661894 | + | 0.140690i | ||||
\(575\) | 0.684988 | + | 1.53851i | 0.0285660 | + | 0.0641602i | ||||
\(576\) | −1.02799 | + | 2.20650i | −0.0428331 | + | 0.0919373i | ||||
\(577\) | 10.2284 | + | 3.32341i | 0.425813 | + | 0.138355i | 0.514081 | − | 0.857742i | \(-0.328133\pi\) |
−0.0882676 | + | 0.996097i | \(0.528133\pi\) | |||||||
\(578\) | 12.5337 | + | 58.9665i | 0.521334 | + | 2.45268i | ||||
\(579\) | 33.2076 | − | 12.4222i | 1.38006 | − | 0.516250i | ||||
\(580\) | −2.21176 | − | 1.60694i | −0.0918383 | − | 0.0667244i | ||||
\(581\) | 15.4579 | + | 13.9184i | 0.641302 | + | 0.577431i | ||||
\(582\) | −4.66550 | − | 18.0275i | −0.193391 | − | 0.747265i | ||||
\(583\) | −1.65254 | + | 16.7206i | −0.0684411 | + | 0.692498i | ||||
\(584\) | − | 2.46685i | − | 0.102079i | ||||||
\(585\) | −2.43417 | − | 22.7822i | −0.100641 | − | 0.941929i | ||||
\(586\) | −17.6004 | − | 12.7875i | −0.727067 | − | 0.528245i | ||||
\(587\) | 1.45562 | + | 13.8493i | 0.0600800 | + | 0.571623i | 0.982608 | + | 0.185693i | \(0.0594528\pi\) |
−0.922528 | + | 0.385930i | \(0.873880\pi\) | |||||||
\(588\) | 3.75262 | + | 0.228881i | 0.154755 | + | 0.00943890i | ||||
\(589\) | 0.246105 | + | 1.15783i | 0.0101406 | + | 0.0477077i | ||||
\(590\) | −29.7284 | − | 40.9176i | −1.22390 | − | 1.68455i | ||||
\(591\) | −15.2339 | + | 12.1218i | −0.626640 | + | 0.498626i | ||||
\(592\) | −23.9322 | − | 21.5487i | −0.983609 | − | 0.885645i | ||||
\(593\) | − | 4.75146i | − | 0.195119i | −0.995230 | − | 0.0975595i | \(-0.968896\pi\) | ||
0.995230 | − | 0.0975595i | \(-0.0311036\pi\) | |||||||
\(594\) | −29.4879 | − | 5.26066i | −1.20990 | − | 0.215847i | ||||
\(595\) | −23.0017 | + | 39.8402i | −0.942979 | + | 1.63329i | ||||
\(596\) | −2.05072 | + | 9.64788i | −0.0840008 | + | 0.395193i | ||||
\(597\) | −32.4839 | + | 4.86038i | −1.32948 | + | 0.198922i | ||||
\(598\) | −8.71661 | − | 18.6256i | −0.356449 | − | 0.761656i | ||||
\(599\) | −1.84379 | − | 0.599084i | −0.0753352 | − | 0.0244779i | 0.271107 | − | 0.962549i | \(-0.412610\pi\) |
−0.346442 | + | 0.938071i | \(0.612610\pi\) | |||||||
\(600\) | 0.0920912 | − | 1.50988i | 0.00375961 | − | 0.0616406i | ||||
\(601\) | −31.7129 | + | 3.33316i | −1.29359 | + | 0.135962i | −0.726200 | − | 0.687484i | \(-0.758715\pi\) |
−0.567395 | + | 0.823446i | \(0.692049\pi\) | |||||||
\(602\) | 0.315808 | − | 3.00471i | 0.0128714 | − | 0.122463i | ||||
\(603\) | 4.37526 | + | 14.2935i | 0.178174 | + | 0.582076i | ||||
\(604\) | −9.06731 | − | 15.7050i | −0.368944 | − | 0.639029i | ||||
\(605\) | −21.1665 | + | 9.74058i | −0.860542 | + | 0.396011i | ||||
\(606\) | −30.4580 | − | 30.9838i | −1.23727 | − | 1.25863i | ||||
\(607\) | −22.2363 | − | 20.0216i | −0.902543 | − | 0.812653i | 0.0803626 | − | 0.996766i | \(-0.474392\pi\) |
−0.982905 | + | 0.184113i | \(0.941059\pi\) | |||||||
\(608\) | 1.12463 | + | 2.52596i | 0.0456097 | + | 0.102441i | ||||
\(609\) | −5.10502 | − | 4.20680i | −0.206866 | − | 0.170468i | ||||
\(610\) | −9.30262 | + | 28.6305i | −0.376652 | + | 1.15922i | ||||
\(611\) | −24.7496 | + | 14.9176i | −1.00126 | + | 0.603503i | ||||
\(612\) | −12.6354 | − | 18.0322i | −0.510755 | − | 0.728907i | ||||
\(613\) | −8.62493 | + | 3.84007i | −0.348358 | + | 0.155099i | −0.573454 | − | 0.819238i | \(-0.694397\pi\) |
0.225096 | + | 0.974336i | \(0.427730\pi\) | |||||||
\(614\) | 2.59986 | − | 12.2314i | 0.104922 | − | 0.493619i | ||||
\(615\) | 3.02545 | − | 10.9166i | 0.121998 | − | 0.440200i | ||||
\(616\) | −1.88747 | − | 16.9455i | −0.0760482 | − | 0.682755i | ||||
\(617\) | 7.26935 | + | 12.5909i | 0.292653 | + | 0.506890i | 0.974436 | − | 0.224664i | \(-0.0721285\pi\) |
−0.681783 | + | 0.731554i | \(0.738795\pi\) | |||||||
\(618\) | −3.84432 | + | 0.168500i | −0.154641 | + | 0.00677805i | ||||
\(619\) | 6.49898 | − | 8.94509i | 0.261216 | − | 0.359533i | −0.658184 | − | 0.752857i | \(-0.728675\pi\) |
0.919400 | + | 0.393324i | \(0.128675\pi\) | |||||||
\(620\) | −1.99046 | + | 4.47064i | −0.0799386 | + | 0.179545i | ||||
\(621\) | 16.9994 | + | 1.32918i | 0.682161 | + | 0.0533380i | ||||
\(622\) | 1.88007 | + | 2.08803i | 0.0753840 | + | 0.0837224i | ||||
\(623\) | −0.327363 | + | 0.237843i | −0.0131155 | + | 0.00952898i | ||||
\(624\) | −1.31348 | + | 31.1946i | −0.0525814 | + | 1.24878i | ||||
\(625\) | −6.85108 | − | 21.0855i | −0.274043 | − | 0.843418i | ||||
\(626\) | −29.8194 | − | 17.2163i | −1.19182 | − | 0.688100i | ||||
\(627\) | 2.33959 | − | 1.88548i | 0.0934344 | − | 0.0752988i | ||||
\(628\) | −3.91098 | − | 6.77401i | −0.156065 | − | 0.270313i | ||||
\(629\) | −44.0416 | + | 14.3100i | −1.75605 | + | 0.570577i | ||||
\(630\) | 4.05504 | − | 33.1185i | 0.161556 | − | 1.31947i | ||||
\(631\) | −5.28258 | + | 11.8649i | −0.210296 | + | 0.472333i | −0.987639 | − | 0.156744i | \(-0.949900\pi\) |
0.777343 | + | 0.629077i | \(0.216567\pi\) | |||||||
\(632\) | −8.32970 | + | 25.6362i | −0.331338 | + | 1.01975i | ||||
\(633\) | −1.99008 | − | 1.31672i | −0.0790986 | − | 0.0523349i | ||||
\(634\) | −28.2023 | + | 2.96419i | −1.12006 | + | 0.117723i | ||||
\(635\) | −1.08485 | − | 2.43661i | −0.0430508 | − | 0.0966938i | ||||
\(636\) | 4.13502 | − | 7.94660i | 0.163964 | − | 0.315103i | ||||
\(637\) | −7.24483 | + | 2.50580i | −0.287051 | + | 0.0992836i | ||||
\(638\) | 3.60461 | − | 6.33384i | 0.142708 | − | 0.250759i | ||||
\(639\) | −1.13519 | − | 0.681568i | −0.0449075 | − | 0.0269624i | ||||
\(640\) | 5.27712 | − | 24.8269i | 0.208596 | − | 0.981369i | ||||
\(641\) | −41.2776 | − | 4.33845i | −1.63037 | − | 0.171358i | −0.755306 | − | 0.655372i | \(-0.772512\pi\) |
−0.875060 | + | 0.484014i | \(0.839178\pi\) | |||||||
\(642\) | −18.7020 | − | 3.12637i | −0.738107 | − | 0.123388i | ||||
\(643\) | −1.70878 | − | 8.03917i | −0.0673876 | − | 0.317034i | 0.931524 | − | 0.363680i | \(-0.118480\pi\) |
−0.998911 | + | 0.0466464i | \(0.985147\pi\) | |||||||
\(644\) | −2.10418 | − | 9.89939i | −0.0829163 | − | 0.390091i | ||||
\(645\) | −2.08219 | − | 0.348076i | −0.0819860 | − | 0.0137055i | ||||
\(646\) | 6.50008 | + | 0.683186i | 0.255742 | + | 0.0268796i | ||||
\(647\) | 1.84343 | − | 8.67264i | 0.0724725 | − | 0.340956i | −0.926941 | − | 0.375208i | \(-0.877571\pi\) |
0.999413 | + | 0.0342514i | \(0.0109047\pi\) | |||||||
\(648\) | −12.9939 | − | 8.10724i | −0.510448 | − | 0.318482i | ||||
\(649\) | 33.6700 | − | 30.6972i | 1.32166 | − | 1.20497i | ||||
\(650\) | −1.05128 | − | 3.03948i | −0.0412345 | − | 0.119218i | ||||
\(651\) | −5.46580 | + | 10.5040i | −0.214221 | + | 0.411686i | ||||
\(652\) | 7.31456 | + | 16.4288i | 0.286460 | + | 0.643400i | ||||
\(653\) | −17.5256 | + | 1.84202i | −0.685831 | + | 0.0720837i | −0.441034 | − | 0.897491i | \(-0.645388\pi\) |
−0.244797 | + | 0.969574i | \(0.578721\pi\) | |||||||
\(654\) | 40.4136 | + | 26.7393i | 1.58030 | + | 1.04559i | ||||
\(655\) | 6.75912 | − | 20.8024i | 0.264101 | − | 0.812818i | ||||
\(656\) | −6.27875 | + | 14.1023i | −0.245144 | + | 0.550602i | ||||
\(657\) | 4.31658 | + | 0.528523i | 0.168406 | + | 0.0206196i | ||||
\(658\) | −40.0231 | + | 13.0043i | −1.56026 | + | 0.506960i | ||||
\(659\) | 15.9769 | + | 27.6728i | 0.622372 | + | 1.07798i | 0.989043 | + | 0.147629i | \(0.0471643\pi\) |
−0.366671 | + | 0.930351i | \(0.619502\pi\) | |||||||
\(660\) | 12.4070 | − | 0.620996i | 0.482943 | − | 0.0241722i | ||||
\(661\) | 13.4678 | + | 7.77566i | 0.523838 | + | 0.302438i | 0.738504 | − | 0.674250i | \(-0.235533\pi\) |
−0.214665 | + | 0.976688i | \(0.568866\pi\) | |||||||
\(662\) | 18.6175 | + | 57.2987i | 0.723589 | + | 2.22698i | ||||
\(663\) | 37.9026 | + | 24.0640i | 1.47202 | + | 0.934569i | ||||
\(664\) | −9.47946 | + | 6.88723i | −0.367874 | + | 0.267276i | ||||
\(665\) | 2.23964 | + | 2.48738i | 0.0868497 | + | 0.0964563i | ||||
\(666\) | 25.3408 | − | 22.0435i | 0.981934 | − | 0.854167i | ||||
\(667\) | −1.68738 | + | 3.78992i | −0.0653357 | + | 0.146746i | ||||
\(668\) | −8.19349 | + | 11.2774i | −0.317016 | + | 0.436335i | ||||
\(669\) | 50.5407 | − | 2.21524i | 1.95402 | − | 0.0856462i | ||||
\(670\) | −9.17217 | − | 15.8867i | −0.354352 | − | 0.613756i | ||||
\(671\) | −26.5614 | − | 5.47371i | −1.02539 | − | 0.211310i | ||||
\(672\) | −7.38715 | + | 26.6547i | −0.284965 | + | 1.02823i | ||||
\(673\) | −3.83455 | + | 18.0402i | −0.147811 | + | 0.695397i | 0.840358 | + | 0.542031i | \(0.182345\pi\) |
−0.988170 | + | 0.153366i | \(0.950989\pi\) | |||||||
\(674\) | −41.6996 | + | 18.5658i | −1.60621 | + | 0.715130i | ||||
\(675\) | 2.62231 | + | 0.484637i | 0.100933 | + | 0.0186537i | ||||
\(676\) | 4.57369 | + | 12.4588i | 0.175911 | + | 0.479185i | ||||
\(677\) | 7.94780 | − | 24.4608i | 0.305459 | − | 0.940106i | −0.674047 | − | 0.738689i | \(-0.735445\pi\) |
0.979506 | − | 0.201417i | \(-0.0645546\pi\) | |||||||
\(678\) | −4.75810 | − | 3.92092i | −0.182734 | − | 0.150582i | ||||
\(679\) | 7.60049 | + | 17.0710i | 0.291680 | + | 0.655124i | ||||
\(680\) | −19.2581 | − | 17.3400i | −0.738513 | − | 0.664960i | ||||
\(681\) | −35.1864 | − | 35.7938i | −1.34834 | − | 1.37162i | ||||
\(682\) | −12.4315 | − | 3.95409i | −0.476026 | − | 0.151410i | ||||
\(683\) | 12.9718 | + | 22.4678i | 0.496352 | + | 0.859707i | 0.999991 | − | 0.00420685i | \(-0.00133909\pi\) |
−0.503639 | + | 0.863914i | \(0.668006\pi\) | |||||||
\(684\) | −1.53185 | + | 0.468901i | −0.0585716 | + | 0.0179289i | ||||
\(685\) | 4.98565 | − | 47.4352i | 0.190492 | − | 1.81241i | ||||
\(686\) | 25.4507 | − | 2.67497i | 0.971711 | − | 0.102131i | ||||
\(687\) | 0.275303 | − | 4.51373i | 0.0105035 | − | 0.172210i | ||||
\(688\) | 2.73599 | + | 0.888977i | 0.104309 | + | 0.0338919i | ||||
\(689\) | −1.56681 | + | 18.1985i | −0.0596908 | + | 0.693307i | ||||
\(690\) | −20.6949 | + | 3.09646i | −0.787842 | + | 0.117880i | ||||
\(691\) | 3.96710 | − | 18.6637i | 0.150916 | − | 0.710002i | −0.835995 | − | 0.548736i | \(-0.815109\pi\) |
0.986911 | − | 0.161266i | \(-0.0515576\pi\) | |||||||
\(692\) | 9.90424 | − | 17.1546i | 0.376503 | − | 0.652122i | ||||
\(693\) | 30.0563 | + | 0.327830i | 1.14174 | + | 0.0124532i | ||||
\(694\) | 56.5432i | 2.14635i | ||||||||
\(695\) | 24.0062 | + | 21.6153i | 0.910608 | + | 0.819915i | ||||
\(696\) | 2.91585 | − | 2.32018i | 0.110525 | − | 0.0879461i | ||||
\(697\) | 13.0474 | + | 17.9583i | 0.494207 | + | 0.680218i | ||||
\(698\) | 4.03890 | + | 19.0015i | 0.152875 | + | 0.719219i | ||||
\(699\) | 2.54375 | + | 0.155149i | 0.0962134 | + | 0.00586828i | ||||
\(700\) | −0.165448 | − | 1.57413i | −0.00625333 | − | 0.0594965i | ||||
\(701\) | −9.26518 | − | 6.73155i | −0.349941 | − | 0.254247i | 0.398903 | − | 0.916993i | \(-0.369391\pi\) |
−0.748844 | + | 0.662746i | \(0.769391\pi\) | |||||||
\(702\) | −32.1264 | − | 5.31367i | −1.21253 | − | 0.200552i | ||||
\(703\) | 3.36926i | 0.127074i | ||||||||
\(704\) | 2.67808 | + | 0.264681i | 0.100934 | + | 0.00997553i | ||||
\(705\) | 7.36723 | + | 28.4670i | 0.277466 | + | 1.07213i | ||||
\(706\) | 17.8579 | + | 16.0793i | 0.672089 | + | 0.605152i | ||||
\(707\) | 35.2725 | + | 25.6270i | 1.32656 | + | 0.963802i | ||||
\(708\) | −22.7522 | + | 8.51108i | −0.855079 | + | 0.319866i | ||||
\(709\) | −3.59558 | − | 16.9159i | −0.135035 | − | 0.635289i | −0.992652 | − | 0.121001i | \(-0.961390\pi\) |
0.857617 | − | 0.514288i | \(-0.171944\pi\) | |||||||
\(710\) | 1.54539 | + | 0.502126i | 0.0579973 | + | 0.0188445i | ||||
\(711\) | −43.0745 | − | 20.0682i | −1.61542 | − | 0.752616i | ||||
\(712\) | −0.0927115 | − | 0.208233i | −0.00347451 | − | 0.00780388i | ||||
\(713\) | 7.26379 | + | 1.54397i | 0.272031 | + | 0.0578220i | ||||
\(714\) | 45.8341 | + | 46.6253i | 1.71530 | + | 1.74491i | ||||
\(715\) | −22.8749 | + | 10.8789i | −0.855473 | + | 0.406846i | ||||
\(716\) | − | 4.99662i | − | 0.186732i | ||||||
\(717\) | −8.91647 | − | 13.9908i | −0.332992 | − | 0.522497i | ||||
\(718\) | −2.10671 | + | 0.937969i | −0.0786218 | + | 0.0350047i | ||||
\(719\) | 9.23648 | − | 20.7455i | 0.344463 | − | 0.773676i | −0.655369 | − | 0.755309i | \(-0.727487\pi\) |
0.999831 | − | 0.0183666i | \(-0.00584659\pi\) | |||||||
\(720\) | 30.0429 | + | 10.3332i | 1.11963 | + | 0.385096i | ||||
\(721\) | 3.77707 | − | 0.802841i | 0.140665 | − | 0.0298993i | ||||
\(722\) | −13.2384 | + | 29.7340i | −0.492683 | + | 1.10658i | ||||
\(723\) | 47.7833 | − | 7.14954i | 1.77708 | − | 0.265894i | ||||
\(724\) | 14.0308 | − | 15.5828i | 0.521451 | − | 0.579130i | ||||
\(725\) | −0.324408 | + | 0.561891i | −0.0120482 | + | 0.0208681i | ||||
\(726\) | 5.30643 | + | 32.6869i | 0.196940 | + | 1.21312i | ||||
\(727\) | 23.1615 | 0.859011 | 0.429506 | − | 0.903064i | \(-0.358688\pi\) | ||||
0.429506 | + | 0.903064i | \(0.358688\pi\) | |||||||
\(728\) | −2.28436 | − | 18.3944i | −0.0846640 | − | 0.681740i | ||||
\(729\) | 16.9703 | − | 21.0002i | 0.628529 | − | 0.777786i | ||||
\(730\) | −5.30763 | + | 0.557854i | −0.196444 | + | 0.0206471i | ||||
\(731\) | 3.07418 | − | 2.76800i | 0.113703 | − | 0.102378i | ||||
\(732\) | 12.0584 | + | 7.97832i | 0.445690 | + | 0.294887i | ||||
\(733\) | −14.9697 | + | 10.8761i | −0.552918 | + | 0.401719i | −0.828860 | − | 0.559456i | \(-0.811010\pi\) |
0.275942 | + | 0.961174i | \(0.411010\pi\) | |||||||
\(734\) | −33.2423 | − | 3.49390i | −1.22700 | − | 0.128962i | ||||
\(735\) | 0.341574 | + | 7.79301i | 0.0125992 | + | 0.287450i | ||||
\(736\) | 17.3465 | 0.639402 | ||||||||
\(737\) | 13.3091 | − | 9.79641i | 0.490246 | − | 0.360855i | ||||
\(738\) | −13.8029 | − | 8.28727i | −0.508093 | − | 0.305059i | ||||
\(739\) | −38.1367 | − | 8.10620i | −1.40288 | − | 0.298191i | −0.556534 | − | 0.830825i | \(-0.687869\pi\) |
−0.846346 | + | 0.532633i | \(0.821203\pi\) | |||||||
\(740\) | −8.18749 | + | 11.2691i | −0.300978 | + | 0.414261i | ||||
\(741\) | 2.51732 | − | 2.08169i | 0.0924760 | − | 0.0764727i | ||||
\(742\) | −8.21981 | + | 25.2980i | −0.301759 | + | 0.928718i | ||||
\(743\) | 15.6892 | − | 14.1266i | 0.575582 | − | 0.518256i | −0.329127 | − | 0.944286i | \(-0.606755\pi\) |
0.904709 | + | 0.426029i | \(0.140088\pi\) | |||||||
\(744\) | −5.14760 | − | 4.24189i | −0.188720 | − | 0.155515i | ||||
\(745\) | −20.3528 | − | 2.13916i | −0.745667 | − | 0.0783728i | ||||
\(746\) | 19.6088 | + | 60.3496i | 0.717928 | + | 2.20956i | ||||
\(747\) | −10.0206 | − | 18.0631i | −0.366633 | − | 0.660894i | ||||
\(748\) | −14.1855 | + | 19.7818i | −0.518674 | + | 0.723294i | ||||
\(749\) | 19.0277 | 0.695257 | ||||||||
\(750\) | −35.1225 | + | 1.53945i | −1.28249 | + | 0.0562127i | ||||
\(751\) | 20.6447 | − | 9.19163i | 0.753337 | − | 0.335407i | 0.00611463 | − | 0.999981i | \(-0.498054\pi\) |
0.747222 | + | 0.664574i | \(0.231387\pi\) | |||||||
\(752\) | −4.18850 | − | 39.8509i | −0.152739 | − | 1.45321i | ||||
\(753\) | 10.1297 | − | 5.05262i | 0.369146 | − | 0.184128i | ||||
\(754\) | 3.83136 | − | 6.93454i | 0.139530 | − | 0.252541i | ||||
\(755\) | 30.4402 | − | 22.1161i | 1.10783 | − | 0.804887i | ||||
\(756\) | −14.8088 | − | 6.12517i | −0.538590 | − | 0.222770i | ||||
\(757\) | 52.1029 | + | 11.0748i | 1.89371 | + | 0.402521i | 0.999024 | − | 0.0441736i | \(-0.0140655\pi\) |
0.894687 | + | 0.446694i | \(0.147399\pi\) | |||||||
\(758\) | −2.00049 | − | 3.46495i | −0.0726611 | − | 0.125853i | ||||
\(759\) | −4.83616 | − | 18.2199i | −0.175542 | − | 0.661342i | ||||
\(760\) | −1.63285 | + | 0.942729i | −0.0592298 | + | 0.0341964i | ||||
\(761\) | −27.8586 | − | 25.0840i | −1.00987 | − | 0.909293i | −0.0139858 | − | 0.999902i | \(-0.504452\pi\) |
−0.995887 | + | 0.0906091i | \(0.971119\pi\) | |||||||
\(762\) | −3.74894 | + | 0.560933i | −0.135810 | + | 0.0203205i | ||||
\(763\) | −44.4239 | − | 19.7788i | −1.60825 | − | 0.716040i | ||||
\(764\) | −0.276619 | + | 0.249069i | −0.0100077 | + | 0.00901101i | ||||
\(765\) | 34.4683 | − | 29.9834i | 1.24620 | − | 1.08405i | ||||
\(766\) | 14.9312 | + | 20.5511i | 0.539488 | + | 0.742541i | ||||
\(767\) | 36.1788 | − | 33.8309i | 1.30634 | − | 1.22156i | ||||
\(768\) | −29.5063 | − | 15.3537i | −1.06472 | − | 0.554028i | ||||
\(769\) | −11.4630 | + | 19.8545i | −0.413367 | + | 0.715973i | −0.995256 | − | 0.0972958i | \(-0.968981\pi\) |
0.581888 | + | 0.813269i | \(0.302314\pi\) | |||||||
\(770\) | −36.0329 | + | 7.89312i | −1.29854 | + | 0.284448i | ||||
\(771\) | 11.0343 | − | 39.8147i | 0.397392 | − | 1.43389i | ||||
\(772\) | 6.45781 | + | 19.8751i | 0.232422 | + | 0.715320i | ||||
\(773\) | −4.11678 | + | 39.1686i | −0.148070 | + | 1.40880i | 0.628031 | + | 0.778188i | \(0.283861\pi\) |
−0.776102 | + | 0.630608i | \(0.782806\pi\) | |||||||
\(774\) | −1.26706 | + | 2.71963i | −0.0455437 | + | 0.0977552i | ||||
\(775\) | 1.10455 | + | 0.358891i | 0.0396768 | + | 0.0128918i | ||||
\(776\) | −10.2963 | + | 2.18855i | −0.369616 | + | 0.0785642i | ||||
\(777\) | −21.4340 | + | 26.0105i | −0.768941 | + | 0.933122i | ||||
\(778\) | 43.5229 | − | 19.3776i | 1.56037 | − | 0.694722i | ||||
\(779\) | 1.53600 | − | 0.499076i | 0.0550328 | − | 0.0178812i | ||||
\(780\) | 13.4783 | − | 0.845365i | 0.482599 | − | 0.0302689i | ||||
\(781\) | −0.295453 | + | 1.43370i | −0.0105722 | + | 0.0513019i | ||||
\(782\) | 20.5018 | − | 35.5101i | 0.733143 | − | 1.26984i | ||||
\(783\) | 3.43521 | + | 5.59936i | 0.122764 | + | 0.200105i | ||||
\(784\) | 1.11112 | − | 10.5716i | 0.0396828 | − | 0.377557i | ||||
\(785\) | 13.1297 | − | 9.53928i | 0.468619 | − | 0.340471i | ||||
\(786\) | −25.9253 | − | 17.1533i | −0.924726 | − | 0.611837i | ||||
\(787\) | −45.8789 | + | 9.75187i | −1.63541 | + | 0.347617i | −0.931800 | − | 0.362972i | \(-0.881762\pi\) |
−0.703607 | + | 0.710589i | \(0.748429\pi\) | |||||||
\(788\) | −6.74483 | − | 9.28346i | −0.240275 | − | 0.330710i | ||||
\(789\) | 14.5726 | + | 18.3139i | 0.518798 | + | 0.651992i | ||||
\(790\) | 57.0421 | + | 12.1247i | 2.02947 | + | 0.431377i | ||||
\(791\) | 5.35812 | + | 3.09351i | 0.190513 | + | 0.109993i | ||||
\(792\) | −3.70080 | + | 16.5227i | −0.131502 | + | 0.587108i | ||||
\(793\) | −28.9482 | − | 5.58543i | −1.02798 | − | 0.198345i | ||||
\(794\) | −5.66506 | − | 17.4353i | −0.201045 | − | 0.618754i | ||||
\(795\) | 17.2943 | + | 6.80901i | 0.613365 | + | 0.241491i | ||||
\(796\) | −2.02365 | − | 19.2538i | −0.0717265 | − | 0.682432i | ||||
\(797\) | −4.53896 | − | 21.3541i | −0.160778 | − | 0.756402i | −0.982463 | − | 0.186459i | \(-0.940299\pi\) |
0.821684 | − | 0.569943i | \(-0.193035\pi\) | |||||||
\(798\) | 4.25681 | − | 2.12327i | 0.150689 | − | 0.0751629i | ||||
\(799\) | −52.6382 | − | 23.4360i | −1.86220 | − | 0.829107i | ||||
\(800\) | 2.69804 | + | 0.283576i | 0.0953903 | + | 0.0100259i | ||||
\(801\) | 0.384238 | − | 0.117616i | 0.0135764 | − | 0.00415575i | ||||
\(802\) | −27.6488 | + | 15.9631i | −0.976314 | + | 0.563675i | ||||
\(803\) | −1.02877 | − | 4.69644i | −0.0363045 | − | 0.165734i | ||||
\(804\) | −8.52973 | + | 2.20748i | −0.300820 | + | 0.0778519i | ||||
\(805\) | 19.9706 | − | 6.48885i | 0.703873 | − | 0.228702i | ||||
\(806\) | −13.5677 | − | 4.12755i | −0.477900 | − | 0.145387i | ||||
\(807\) | 33.6621 | + | 5.62724i | 1.18496 | + | 0.198088i | ||||
\(808\) | −18.2516 | + | 16.4338i | −0.642089 | + | 0.578140i | ||||
\(809\) | 14.3451 | + | 15.9318i | 0.504347 | + | 0.560134i | 0.940524 | − | 0.339727i | \(-0.110335\pi\) |
−0.436177 | + | 0.899861i | \(0.643668\pi\) | |||||||
\(810\) | −14.5050 | + | 29.7908i | −0.509652 | + | 1.04674i | ||||
\(811\) | −8.51192 | − | 6.18427i | −0.298894 | − | 0.217159i | 0.428223 | − | 0.903673i | \(-0.359140\pi\) |
−0.727116 | + | 0.686514i | \(0.759140\pi\) | |||||||
\(812\) | 2.60896 | − | 2.89754i | 0.0915565 | − | 0.101684i | ||||
\(813\) | 30.9580 | + | 8.57975i | 1.08574 | + | 0.300905i | ||||
\(814\) | −32.2715 | − | 18.3658i | −1.13111 | − | 0.643721i | ||||
\(815\) | −32.3137 | + | 18.6563i | −1.13190 | + | 0.653503i | ||||
\(816\) | −52.4994 | + | 33.4583i | −1.83785 | + | 1.17127i | ||||
\(817\) | −0.122418 | − | 0.274956i | −0.00428287 | − | 0.00961948i | ||||
\(818\) | 5.46146 | + | 7.51706i | 0.190956 | + | 0.262828i | ||||
\(819\) | 32.6765 | − | 0.0562567i | 1.14181 | − | 0.00196577i | ||||
\(820\) | 6.35021 | + | 2.06331i | 0.221759 | + | 0.0720539i | ||||
\(821\) | 40.5108 | − | 4.25786i | 1.41384 | − | 0.148600i | 0.633396 | − | 0.773828i | \(-0.281660\pi\) |
0.780443 | + | 0.625228i | \(0.214994\pi\) | |||||||
\(822\) | −63.0747 | − | 24.8334i | −2.19998 | − | 0.866165i | ||||
\(823\) | 34.8299 | − | 38.6825i | 1.21409 | − | 1.34839i | 0.294435 | − | 0.955672i | \(-0.404869\pi\) |
0.919659 | − | 0.392717i | \(-0.128465\pi\) | |||||||
\(824\) | 2.17520i | 0.0757767i | ||||||||
\(825\) | −0.454352 | − | 2.91295i | −0.0158185 | − | 0.101416i | ||||
\(826\) | 62.4682 | − | 36.0660i | 2.17355 | − | 1.25490i | ||||
\(827\) | 4.02923 | − | 1.30918i | 0.140110 | − | 0.0455245i | −0.238123 | − | 0.971235i | \(-0.576532\pi\) |
0.378233 | + | 0.925711i | \(0.376532\pi\) | |||||||
\(828\) | −1.22145 | + | 9.97586i | −0.0424482 | + | 0.346685i | ||||
\(829\) | −0.545658 | − | 5.19159i | −0.0189515 | − | 0.180311i | 0.980951 | − | 0.194254i | \(-0.0622285\pi\) |
−0.999903 | + | 0.0139424i | \(0.995562\pi\) | |||||||
\(830\) | 16.9622 | + | 18.8384i | 0.588765 | + | 0.653890i | ||||
\(831\) | −3.39962 | + | 1.69571i | −0.117932 | + | 0.0588235i | ||||
\(832\) | 2.91478 | + | 0.250950i | 0.101052 | + | 0.00870013i | ||||
\(833\) | −12.3660 | − | 8.98445i | −0.428458 | − | 0.311293i | ||||
\(834\) | 38.7163 | − | 24.6743i | 1.34064 | − | 0.854399i | ||||
\(835\) | −25.0474 | − | 14.4611i | −0.866801 | − | 0.500448i | ||||
\(836\) | 1.04989 | + | 1.42635i | 0.0363112 | + | 0.0493313i | ||||
\(837\) | 8.52549 | − | 8.09864i | 0.294684 | − | 0.279930i | ||||
\(838\) | −8.93679 | + | 9.92532i | −0.308716 | + | 0.342864i | ||||
\(839\) | −0.446273 | + | 4.24601i | −0.0154071 | + | 0.146588i | −0.999521 | − | 0.0309500i | \(-0.990147\pi\) |
0.984114 | + | 0.177538i | \(0.0568134\pi\) | |||||||
\(840\) | −18.6029 | − | 3.10981i | −0.641860 | − | 0.107299i | ||||
\(841\) | 26.8029 | − | 5.69714i | 0.924239 | − | 0.196453i | ||||
\(842\) | −44.3889 | − | 49.2989i | −1.52974 | − | 1.69895i | ||||
\(843\) | 16.9092 | − | 20.5196i | 0.582383 | − | 0.706732i | ||||
\(844\) | 0.826722 | − | 1.13789i | 0.0284570 | − | 0.0391676i | ||||
\(845\) | −24.7163 | + | 12.1397i | −0.850267 | + | 0.417617i | ||||
\(846\) | 41.7847 | + | 0.715178i | 1.43659 | + | 0.0245883i | ||||
\(847\) | −10.6603 | − | 31.4741i | −0.366293 | − | 1.08146i | ||||
\(848\) | −21.9346 | − | 12.6639i | −0.753237 | − | 0.434882i | ||||
\(849\) | 19.9729 | − | 0.875427i | 0.685466 | − | 0.0300446i | ||||
\(850\) | 3.76931 | − | 5.18801i | 0.129286 | − | 0.177947i | ||||
\(851\) | 19.3100 | + | 8.59736i | 0.661938 | + | 0.294714i | ||||
\(852\) | 0.430645 | − | 0.650873i | 0.0147537 | − | 0.0222986i | ||||
\(853\) | −8.95491 | + | 27.5604i | −0.306610 | + | 0.943650i | 0.672461 | + | 0.740132i | \(0.265237\pi\) |
−0.979071 | + | 0.203517i | \(0.934763\pi\) | |||||||
\(854\) | −39.2219 | − | 17.4627i | −1.34215 | − | 0.597562i | ||||
\(855\) | −1.29978 | − | 3.05921i | −0.0444516 | − | 0.104623i | ||||
\(856\) | −2.22851 | + | 10.4843i | −0.0761688 | + | 0.358346i | ||||
\(857\) | 39.8069 | 1.35978 | 0.679889 | − | 0.733315i | \(-0.262028\pi\) | ||||
0.679889 | + | 0.733315i | \(0.262028\pi\) | |||||||
\(858\) | 6.21697 | + | 35.4587i | 0.212244 | + | 1.21054i | ||||
\(859\) | 29.7570 | 1.01529 | 0.507647 | − | 0.861565i | \(-0.330515\pi\) | ||||
0.507647 | + | 0.861565i | \(0.330515\pi\) | |||||||
\(860\) | 0.258708 | − | 1.21712i | 0.00882186 | − | 0.0415036i | ||||
\(861\) | 15.0328 | + | 5.91862i | 0.512315 | + | 0.201706i | ||||
\(862\) | 21.6570 | + | 9.64231i | 0.737640 | + | 0.328418i | ||||
\(863\) | 15.6739 | − | 48.2392i | 0.533544 | − | 1.64208i | −0.213229 | − | 0.977002i | \(-0.568398\pi\) |
0.746773 | − | 0.665079i | \(-0.231602\pi\) | |||||||
\(864\) | 15.5463 | − | 22.6447i | 0.528896 | − | 0.770388i | ||||
\(865\) | 37.5459 | + | 16.7165i | 1.27660 | + | 0.568378i | ||||
\(866\) | 30.3543 | − | 41.7791i | 1.03148 | − | 1.41971i | ||||
\(867\) | 2.63061 | + | 60.0173i | 0.0893401 | + | 2.03829i | ||||
\(868\) | −6.04430 | − | 3.48968i | −0.205157 | − | 0.118447i | ||||
\(869\) | −5.16701 | + | 52.2806i | −0.175279 | + | 1.77350i | ||||
\(870\) | −5.65145 | − | 5.74901i | −0.191602 | − | 0.194910i | ||||
\(871\) | 14.3329 | − | 10.8317i | 0.485650 | − | 0.367018i | ||||
\(872\) | 16.1010 | − | 22.1612i | 0.545249 | − | 0.750472i | ||||
\(873\) | −1.62361 | − | 18.4857i | −0.0549509 | − | 0.625648i | ||||
\(874\) | −1.99623 | − | 2.21704i | −0.0675234 | − | 0.0749923i | ||||
\(875\) | 34.5081 | − | 7.33492i | 1.16659 | − | 0.247965i | ||||
\(876\) | −0.422635 | + | 2.52820i | −0.0142795 | + | 0.0854200i | ||||
\(877\) | 0.331172 | − | 3.15089i | 0.0111829 | − | 0.106398i | −0.987507 | − | 0.157578i | \(-0.949632\pi\) |
0.998689 | + | 0.0511799i | \(0.0162982\pi\) | |||||||
\(878\) | 7.13229 | − | 7.92121i | 0.240703 | − | 0.267328i | ||||
\(879\) | −15.1983 | − | 15.4606i | −0.512625 | − | 0.521474i | ||||
\(880\) | −0.218022 | − | 35.1227i | −0.00734951 | − | 1.18399i | ||||
\(881\) | −18.9699 | − | 10.9523i | −0.639112 | − | 0.368991i | 0.145161 | − | 0.989408i | \(-0.453630\pi\) |
−0.784272 | + | 0.620417i | \(0.786963\pi\) | |||||||
\(882\) | 10.8029 | + | 2.49019i | 0.363754 | + | 0.0838492i | ||||
\(883\) | −13.1860 | − | 9.58016i | −0.443743 | − | 0.322398i | 0.343378 | − | 0.939197i | \(-0.388429\pi\) |
−0.787120 | + | 0.616800i | \(0.788429\pi\) | |||||||
\(884\) | −15.1485 | + | 21.6981i | −0.509499 | + | 0.729786i | ||||
\(885\) | −22.4967 | − | 45.1023i | −0.756219 | − | 1.51610i | ||||
\(886\) | −3.16804 | − | 3.51847i | −0.106432 | − | 0.118205i | ||||
\(887\) | −0.764860 | − | 7.27716i | −0.0256815 | − | 0.244343i | −0.999830 | − | 0.0184348i | \(-0.994132\pi\) |
0.974149 | − | 0.225908i | \(-0.0725350\pi\) | |||||||
\(888\) | −11.8215 | − | 14.8565i | −0.396704 | − | 0.498552i | ||||
\(889\) | 3.61774 | − | 1.17548i | 0.121335 | − | 0.0394242i | ||||
\(890\) | −0.427066 | + | 0.246567i | −0.0143153 | + | 0.00826493i | ||||
\(891\) | −28.1191 | − | 10.0158i | −0.942025 | − | 0.335542i | ||||
\(892\) | 29.8184i | 0.998393i | ||||||||
\(893\) | −2.80517 | + | 3.11545i | −0.0938714 | + | 0.104255i | ||||
\(894\) | −10.6551 | + | 27.0631i | −0.356361 | + | 0.905125i | ||||
\(895\) | 10.3103 | − | 1.08366i | 0.344636 | − | 0.0362227i | ||||
\(896\) | 34.4271 | + | 11.1860i | 1.15013 | + | 0.373699i | ||||
\(897\) | −5.50717 | − | 19.7392i | −0.183879 | − | 0.659072i | ||||
\(898\) | 3.86776 | + | 5.32351i | 0.129069 | + | 0.177648i | ||||
\(899\) | 1.16365 | + | 2.61361i | 0.0388101 | + | 0.0871688i | ||||
\(900\) | −0.353063 | + | 1.53166i | −0.0117688 | + | 0.0510552i | ||||
\(901\) | −31.5411 | + | 18.2103i | −1.05079 | + | 0.606672i | ||||
\(902\) | −3.59246 | + | 17.4326i | −0.119616 | + | 0.580441i | ||||
\(903\) | 0.804107 | − | 2.90143i | 0.0267590 | − | 0.0965534i | ||||
\(904\) | −2.33207 | + | 2.59002i | −0.0775634 | + | 0.0861429i | ||||
\(905\) | 35.1974 | + | 25.5724i | 1.17000 | + | 0.850056i | ||||
\(906\) | −18.7359 | − | 50.0854i | −0.622457 | − | 1.66398i | ||||
\(907\) | 19.9324 | + | 22.1372i | 0.661845 | + | 0.735053i | 0.976824 | − | 0.214046i | \(-0.0686642\pi\) |
−0.314979 | + | 0.949099i | \(0.601998\pi\) | |||||||
\(908\) | 21.9855 | − | 19.7959i | 0.729616 | − | 0.656949i | ||||
\(909\) | −24.8461 | − | 35.4583i | −0.824093 | − | 1.17608i | ||||
\(910\) | −39.0604 | + | 9.07470i | −1.29484 | + | 0.300823i | ||||
\(911\) | −46.4781 | + | 15.1017i | −1.53989 | + | 0.500340i | −0.951346 | − | 0.308126i | \(-0.900298\pi\) |
−0.588543 | + | 0.808466i | \(0.700298\pi\) | |||||||
\(912\) | 1.13484 | + | 4.38502i | 0.0375782 | + | 0.145203i | ||||
\(913\) | −15.1750 | + | 17.0654i | −0.502218 | + | 0.564781i | ||||
\(914\) | 37.0323 | − | 21.3806i | 1.22492 | − | 0.707208i | ||||
\(915\) | −13.8477 | + | 26.6123i | −0.457792 | + | 0.879775i | ||||
\(916\) | 2.65083 | + | 0.278614i | 0.0875860 | + | 0.00920566i | ||||
\(917\) | 28.4980 | + | 12.6881i | 0.941085 | + | 0.418998i | ||||
\(918\) | −27.9819 | − | 58.5885i | −0.923540 | − | 1.93371i | ||||
\(919\) | 5.91978 | + | 27.8504i | 0.195275 | + | 0.918699i | 0.961218 | + | 0.275790i | \(0.0889394\pi\) |
−0.765942 | + | 0.642909i | \(0.777727\pi\) | |||||||
\(920\) | 1.23643 | + | 11.7638i | 0.0407638 | + | 0.387842i | ||||
\(921\) | 4.56512 | − | 11.5950i | 0.150426 | − | 0.382068i | ||||
\(922\) | 6.61454 | + | 20.3574i | 0.217838 | + | 0.670437i | ||||
\(923\) | −0.301484 | + | 1.56253i | −0.00992347 | + | 0.0514313i | ||||
\(924\) | −0.968799 | + | 17.6904i | −0.0318712 | + | 0.581970i | ||||
\(925\) | 2.86289 | + | 1.65289i | 0.0941311 | + | 0.0543466i | ||||
\(926\) | −23.1771 | − | 4.92645i | −0.761648 | − | 0.161893i | ||||
\(927\) | −3.80624 | − | 0.466038i | −0.125013 | − | 0.0153067i | ||||
\(928\) | 3.92811 | + | 5.40658i | 0.128947 | + | 0.177480i | ||||
\(929\) | −19.2491 | + | 4.09152i | −0.631541 | + | 0.134238i | −0.512551 | − | 0.858657i | \(-0.671299\pi\) |
−0.118991 | + | 0.992895i | \(0.537966\pi\) | |||||||
\(930\) | −7.96270 | + | 12.0348i | −0.261107 | + | 0.394635i | ||||
\(931\) | −0.899721 | + | 0.653686i | −0.0294872 | + | 0.0214237i | ||||
\(932\) | −0.157015 | + | 1.49390i | −0.00514319 | + | 0.0489342i | ||||
\(933\) | 1.50483 | + | 2.36123i | 0.0492659 | + | 0.0773031i | ||||
\(934\) | 19.8690 | − | 34.4142i | 0.650134 | − | 1.12607i | ||||
\(935\) | −43.8954 | − | 24.9810i | −1.43553 | − | 0.816967i | ||||
\(936\) | −3.79605 | + | 18.0114i | −0.124078 | + | 0.588722i | ||||
\(937\) | 24.1687 | − | 7.85288i | 0.789556 | − | 0.256542i | 0.113641 | − | 0.993522i | \(-0.463749\pi\) |
0.675915 | + | 0.736980i | \(0.263749\pi\) | |||||||
\(938\) | 23.9006 | − | 10.6412i | 0.780381 | − | 0.347448i | ||||
\(939\) | −26.4806 | − | 21.8214i | −0.864161 | − | 0.712113i | ||||
\(940\) | −16.9531 | + | 3.60350i | −0.552950 | + | 0.117533i | ||||
\(941\) | −31.6884 | − | 10.2962i | −1.03301 | − | 0.335646i | −0.257031 | − | 0.966403i | \(-0.582744\pi\) |
−0.775980 | + | 0.630758i | \(0.782744\pi\) | |||||||
\(942\) | −8.08129 | − | 21.6032i | −0.263303 | − | 0.703871i | ||||
\(943\) | 1.05910 | − | 10.0766i | 0.0344890 | − | 0.328141i | ||||
\(944\) | 21.2241 | + | 65.3212i | 0.690787 | + | 2.12602i | ||||
\(945\) | 9.42733 | − | 31.8857i | 0.306671 | − | 1.03724i | ||||
\(946\) | 3.30089 | + | 0.326234i | 0.107321 | + | 0.0106068i | ||||
\(947\) | −23.0353 | + | 39.8984i | −0.748548 | + | 1.29652i | 0.199971 | + | 0.979802i | \(0.435915\pi\) |
−0.948519 | + | 0.316721i | \(0.897418\pi\) | |||||||
\(948\) | 12.9290 | − | 24.8467i | 0.419915 | − | 0.806984i | ||||
\(949\) | −1.18277 | − | 5.09103i | −0.0383944 | − | 0.165262i | ||||
\(950\) | −0.274246 | − | 0.377467i | −0.00889770 | − | 0.0122466i | ||||
\(951\) | −28.2070 | − | 1.72041i | −0.914674 | − | 0.0557881i | ||||
\(952\) | 27.4656 | − | 24.7301i | 0.890165 | − | 0.801508i | ||||
\(953\) | 13.1975 | + | 5.87592i | 0.427510 | + | 0.190340i | 0.609201 | − | 0.793016i | \(-0.291490\pi\) |
−0.181691 | + | 0.983356i | \(0.558157\pi\) | |||||||
\(954\) | 15.8900 | − | 21.1017i | 0.514458 | − | 0.683191i | ||||
\(955\) | −0.573937 | − | 0.516775i | −0.0185722 | − | 0.0167224i | ||||
\(956\) | 8.46871 | − | 4.88941i | 0.273898 | − | 0.158135i | ||||
\(957\) | 4.58365 | − | 5.63323i | 0.148168 | − | 0.182096i | ||||
\(958\) | 18.8551 | + | 32.6580i | 0.609181 | + | 1.05513i | ||||
\(959\) | 66.5376 | + | 14.1430i | 2.14861 | + | 0.456701i | ||||
\(960\) | 1.09057 | − | 2.76996i | 0.0351981 | − | 0.0893999i | ||||
\(961\) | −20.9364 | + | 15.2112i | −0.675368 | + | 0.490684i | ||||
\(962\) | −35.3321 | − | 19.5211i | −1.13915 | − | 0.629386i | ||||
\(963\) | −17.8684 | − | 6.14579i | −0.575800 | − | 0.198045i | ||||
\(964\) | 2.97676 | + | 28.3220i | 0.0958750 | + | 0.912190i | ||||
\(965\) | −39.6109 | + | 17.6359i | −1.27512 | + | 0.567719i | ||||
\(966\) | −1.30680 | − | 29.8147i | −0.0420457 | − | 0.959272i | ||||
\(967\) | 36.8701 | 1.18566 | 0.592831 | − | 0.805327i | \(-0.298010\pi\) | ||||
0.592831 | + | 0.805327i | \(0.298010\pi\) | |||||||
\(968\) | 18.5908 | − | 2.18764i | 0.597532 | − | 0.0703135i | ||||
\(969\) | 6.27664 | + | 1.73952i | 0.201635 | + | 0.0558814i | ||||
\(970\) | 7.03725 | + | 21.6584i | 0.225953 | + | 0.695411i | ||||
\(971\) | 39.9760 | + | 4.20164i | 1.28289 | + | 0.134837i | 0.721325 | − | 0.692596i | \(-0.243533\pi\) |
0.561564 | + | 0.827433i | \(0.310200\pi\) | |||||||
\(972\) | 11.9281 | + | 10.5351i | 0.382594 | + | 0.337913i | ||||
\(973\) | −34.2373 | + | 30.8274i | −1.09760 | + | 0.988282i | ||||
\(974\) | −6.99949 | + | 21.5422i | −0.224278 | + | 0.690257i | ||||
\(975\) | −0.533883 | − | 3.16022i | −0.0170979 | − | 0.101208i | ||||
\(976\) | 24.0291 | − | 33.0732i | 0.769152 | − | 1.05865i | ||||
\(977\) | −33.4396 | − | 7.10781i | −1.06983 | − | 0.227399i | −0.360846 | − | 0.932625i | \(-0.617512\pi\) |
−0.708982 | + | 0.705226i | \(0.750845\pi\) | |||||||
\(978\) | 13.2862 | + | 51.3382i | 0.424847 | + | 1.64161i | ||||
\(979\) | −0.263348 | − | 0.357775i | −0.00841662 | − | 0.0114345i | ||||
\(980\) | −4.59778 | −0.146871 | ||||||||
\(981\) | 35.3288 | + | 32.9222i | 1.12796 | + | 1.05113i | ||||
\(982\) | −2.56265 | − | 0.269346i | −0.0817775 | − | 0.00859516i | ||||
\(983\) | 9.38193 | − | 6.81637i | 0.299237 | − | 0.217408i | −0.428027 | − | 0.903766i | \(-0.640791\pi\) |
0.727265 | + | 0.686357i | \(0.240791\pi\) | |||||||
\(984\) | −5.02179 | + | 7.58990i | −0.160089 | + | 0.241957i | ||||
\(985\) | 17.6932 | − | 15.9311i | 0.563753 | − | 0.507606i | ||||
\(986\) | 15.7104 | − | 1.65123i | 0.500322 | − | 0.0525860i | ||||
\(987\) | −41.4752 | + | 6.20570i | −1.32017 | + | 0.197529i | ||||
\(988\) | 1.16084 | + | 1.53607i | 0.0369313 | + | 0.0488688i | ||||
\(989\) | −1.88821 | −0.0600416 | ||||||||
\(990\) | 36.3869 | + | 4.22614i | 1.15645 | + | 0.134315i | ||||
\(991\) | 5.59054 | − | 9.68311i | 0.177589 | − | 0.307594i | −0.763465 | − | 0.645849i | \(-0.776503\pi\) |
0.941054 | + | 0.338255i | \(0.109837\pi\) | |||||||
\(992\) | 8.00451 | − | 8.88991i | 0.254144 | − | 0.282255i | ||||
\(993\) | 8.88434 | + | 59.3776i | 0.281936 | + | 1.88429i | ||||
\(994\) | −0.942584 | + | 2.11708i | −0.0298969 | + | 0.0671496i | ||||
\(995\) | 39.2905 | − | 8.35145i | 1.24559 | − | 0.264759i | ||||
\(996\) | 10.8952 | − | 5.43445i | 0.345227 | − | 0.172197i | ||||
\(997\) | −20.7286 | + | 46.5571i | −0.656480 | + | 1.47448i | 0.211245 | + | 0.977433i | \(0.432248\pi\) |
−0.867725 | + | 0.497045i | \(0.834418\pi\) | |||||||
\(998\) | 25.8560 | − | 11.5118i | 0.818456 | − | 0.364400i | ||||
\(999\) | 28.5292 | − | 17.5027i | 0.902625 | − | 0.553761i |
(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 | 429.2.bm.a.17.12 | ✓ | 416 | |
3.2 | odd | 2 | inner | 429.2.bm.a.17.41 | yes | 416 | |
11.2 | odd | 10 | inner | 429.2.bm.a.134.12 | yes | 416 | |
13.10 | even | 6 | inner | 429.2.bm.a.413.41 | yes | 416 | |
33.2 | even | 10 | inner | 429.2.bm.a.134.41 | yes | 416 | |
39.23 | odd | 6 | inner | 429.2.bm.a.413.12 | yes | 416 | |
143.101 | odd | 30 | inner | 429.2.bm.a.101.41 | yes | 416 | |
429.101 | even | 30 | inner | 429.2.bm.a.101.12 | yes | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bm.a.17.12 | ✓ | 416 | 1.1 | even | 1 | trivial | |
429.2.bm.a.17.41 | yes | 416 | 3.2 | odd | 2 | inner | |
429.2.bm.a.101.12 | yes | 416 | 429.101 | even | 30 | inner | |
429.2.bm.a.101.41 | yes | 416 | 143.101 | odd | 30 | inner | |
429.2.bm.a.134.12 | yes | 416 | 11.2 | odd | 10 | inner | |
429.2.bm.a.134.41 | yes | 416 | 33.2 | even | 10 | inner | |
429.2.bm.a.413.12 | yes | 416 | 39.23 | odd | 6 | inner | |
429.2.bm.a.413.41 | yes | 416 | 13.10 | even | 6 | inner |