Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(5,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 25, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.bc (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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 5.5 | ||
Character | \(\chi\) | \(=\) | 231.5 |
Dual form | 231.2.bc.a.185.5 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.447920 | + | 2.10730i | −0.316727 | + | 1.49009i | 0.475422 | + | 0.879758i | \(0.342296\pi\) |
−0.792149 | + | 0.610328i | \(0.791038\pi\) | |||||||
\(3\) | 0.826050 | − | 1.52238i | 0.476920 | − | 0.878947i | ||||
\(4\) | −2.41299 | − | 1.07433i | −1.20649 | − | 0.537166i | ||||
\(5\) | −2.59584 | − | 2.88297i | −1.16089 | − | 1.28930i | −0.950161 | − | 0.311760i | \(-0.899082\pi\) |
−0.210733 | − | 0.977544i | \(-0.567585\pi\) | |||||||
\(6\) | 2.83811 | + | 2.42264i | 1.15865 | + | 0.989039i | ||||
\(7\) | −2.63172 | + | 0.272090i | −0.994698 | + | 0.102840i | ||||
\(8\) | 0.812141 | − | 1.11782i | 0.287135 | − | 0.395207i | ||||
\(9\) | −1.63528 | − | 2.51512i | −0.545094 | − | 0.838375i | ||||
\(10\) | 7.23801 | − | 4.17887i | 2.28886 | − | 1.32147i | ||||
\(11\) | −3.30016 | − | 0.330087i | −0.995035 | − | 0.0995250i | ||||
\(12\) | −3.62879 | + | 2.78603i | −1.04754 | + | 0.804258i | ||||
\(13\) | 3.99393 | − | 1.29771i | 1.10772 | − | 0.359919i | 0.302649 | − | 0.953102i | \(-0.402129\pi\) |
0.805068 | + | 0.593183i | \(0.202129\pi\) | |||||||
\(14\) | 0.605428 | − | 5.66770i | 0.161807 | − | 1.51476i | ||||
\(15\) | −6.53327 | + | 1.57037i | −1.68688 | + | 0.405469i | ||||
\(16\) | −1.54301 | − | 1.71369i | −0.385752 | − | 0.428421i | ||||
\(17\) | 1.16032 | − | 0.246634i | 0.281419 | − | 0.0598175i | −0.0650396 | − | 0.997883i | \(-0.520717\pi\) |
0.346459 | + | 0.938065i | \(0.387384\pi\) | |||||||
\(18\) | 6.03260 | − | 2.31946i | 1.42190 | − | 0.546701i | ||||
\(19\) | −1.73402 | − | 3.89467i | −0.397811 | − | 0.893498i | −0.995762 | − | 0.0919653i | \(-0.970685\pi\) |
0.597951 | − | 0.801532i | \(-0.295982\pi\) | |||||||
\(20\) | 3.16646 | + | 9.74536i | 0.708042 | + | 2.17913i | ||||
\(21\) | −1.75971 | + | 4.23124i | −0.384000 | + | 0.923333i | ||||
\(22\) | 2.17380 | − | 6.80657i | 0.463456 | − | 1.45117i | ||||
\(23\) | 3.34379 | + | 1.93054i | 0.697228 | + | 0.402545i | 0.806314 | − | 0.591488i | \(-0.201459\pi\) |
−0.109086 | + | 0.994032i | \(0.534792\pi\) | |||||||
\(24\) | −1.03087 | − | 2.15976i | −0.210426 | − | 0.440859i | ||||
\(25\) | −1.05050 | + | 9.99483i | −0.210100 | + | 1.99897i | ||||
\(26\) | 0.945694 | + | 8.99767i | 0.185466 | + | 1.76459i | ||||
\(27\) | −5.17980 | + | 0.411904i | −0.996853 | + | 0.0792709i | ||||
\(28\) | 6.64263 | + | 2.17079i | 1.25534 | + | 0.410241i | ||||
\(29\) | 1.49858 | + | 2.06262i | 0.278279 | + | 0.383019i | 0.925163 | − | 0.379570i | \(-0.123928\pi\) |
−0.646884 | + | 0.762589i | \(0.723928\pi\) | |||||||
\(30\) | −0.382866 | − | 14.4710i | −0.0699014 | − | 2.64202i | ||||
\(31\) | 0.644911 | + | 0.580680i | 0.115829 | + | 0.104293i | 0.725010 | − | 0.688738i | \(-0.241835\pi\) |
−0.609181 | + | 0.793031i | \(0.708502\pi\) | |||||||
\(32\) | 6.69556 | − | 3.86568i | 1.18362 | − | 0.683363i | ||||
\(33\) | −3.22861 | + | 4.75143i | −0.562029 | + | 0.827117i | ||||
\(34\) | 2.55562i | 0.438285i | ||||||||
\(35\) | 7.61595 | + | 6.88088i | 1.28733 | + | 1.16308i | ||||
\(36\) | 1.24384 | + | 7.82580i | 0.207307 | + | 1.30430i | ||||
\(37\) | −0.510579 | − | 4.85783i | −0.0839386 | − | 0.798623i | −0.952806 | − | 0.303579i | \(-0.901818\pi\) |
0.868868 | − | 0.495044i | \(-0.164848\pi\) | |||||||
\(38\) | 8.98393 | − | 1.90959i | 1.45739 | − | 0.309777i | ||||
\(39\) | 1.32358 | − | 7.15225i | 0.211943 | − | 1.14528i | ||||
\(40\) | −5.33081 | + | 0.560291i | −0.842876 | + | 0.0885898i | ||||
\(41\) | 1.20912 | + | 0.878474i | 0.188832 | + | 0.137195i | 0.678185 | − | 0.734891i | \(-0.262767\pi\) |
−0.489353 | + | 0.872086i | \(0.662767\pi\) | |||||||
\(42\) | −8.12829 | − | 5.60350i | −1.25422 | − | 0.864638i | ||||
\(43\) | −2.85153 | −0.434854 | −0.217427 | − | 0.976077i | \(-0.569766\pi\) | ||||
−0.217427 | + | 0.976077i | \(0.569766\pi\) | |||||||
\(44\) | 7.60862 | + | 4.34196i | 1.14704 | + | 0.654575i | ||||
\(45\) | −3.00610 | + | 11.2433i | −0.448123 | + | 1.67606i | ||||
\(46\) | −5.56597 | + | 6.18163i | −0.820657 | + | 0.911432i | ||||
\(47\) | 1.80828 | − | 0.805096i | 0.263764 | − | 0.117435i | −0.270594 | − | 0.962694i | \(-0.587220\pi\) |
0.534358 | + | 0.845258i | \(0.320553\pi\) | |||||||
\(48\) | −3.88348 | + | 0.933457i | −0.560533 | + | 0.134733i | ||||
\(49\) | 6.85193 | − | 1.43213i | 0.978848 | − | 0.204590i | ||||
\(50\) | −20.5916 | − | 6.69061i | −2.91209 | − | 0.946195i | ||||
\(51\) | 0.583013 | − | 1.97018i | 0.0816381 | − | 0.275881i | ||||
\(52\) | −11.0315 | − | 1.15945i | −1.52979 | − | 0.160787i | ||||
\(53\) | −7.41920 | − | 6.68028i | −1.01911 | − | 0.917607i | −0.0224851 | − | 0.999747i | \(-0.507158\pi\) |
−0.996621 | + | 0.0821401i | \(0.973824\pi\) | |||||||
\(54\) | 1.45213 | − | 11.0999i | 0.197610 | − | 1.51050i | ||||
\(55\) | 7.61504 | + | 10.3711i | 1.02681 | + | 1.39844i | ||||
\(56\) | −1.83318 | + | 3.16276i | −0.244969 | + | 0.422641i | ||||
\(57\) | −7.36155 | − | 0.577356i | −0.975061 | − | 0.0764726i | ||||
\(58\) | −5.01780 | + | 2.23407i | −0.658869 | + | 0.293348i | ||||
\(59\) | −9.40823 | − | 4.18881i | −1.22485 | − | 0.545337i | −0.310618 | − | 0.950535i | \(-0.600536\pi\) |
−0.914229 | + | 0.405198i | \(0.867203\pi\) | |||||||
\(60\) | 17.4518 | + | 3.22960i | 2.25302 | + | 0.416940i | ||||
\(61\) | 1.36497 | − | 1.22903i | 0.174767 | − | 0.157361i | −0.577105 | − | 0.816670i | \(-0.695818\pi\) |
0.751872 | + | 0.659309i | \(0.229151\pi\) | |||||||
\(62\) | −1.51254 | + | 1.09892i | −0.192092 | + | 0.139563i | ||||
\(63\) | 4.98795 | + | 6.17417i | 0.628423 | + | 0.777872i | ||||
\(64\) | 3.72190 | + | 11.4548i | 0.465237 | + | 1.43185i | ||||
\(65\) | −14.1088 | − | 8.14574i | −1.74999 | − | 1.01036i | ||||
\(66\) | −8.56652 | − | 8.93192i | −1.05447 | − | 1.09944i | ||||
\(67\) | −6.89629 | − | 11.9447i | −0.842516 | − | 1.45928i | −0.887761 | − | 0.460305i | \(-0.847740\pi\) |
0.0452445 | − | 0.998976i | \(-0.485593\pi\) | |||||||
\(68\) | −3.06481 | − | 0.651445i | −0.371663 | − | 0.0789993i | ||||
\(69\) | 5.70115 | − | 3.49580i | 0.686337 | − | 0.420844i | ||||
\(70\) | −17.9114 | + | 12.9670i | −2.14082 | + | 1.54985i | ||||
\(71\) | 9.83186 | + | 3.19456i | 1.16683 | + | 0.379125i | 0.827458 | − | 0.561528i | \(-0.189786\pi\) |
0.339369 | + | 0.940653i | \(0.389786\pi\) | |||||||
\(72\) | −4.13952 | − | 0.214690i | −0.487848 | − | 0.0253015i | ||||
\(73\) | 0.285690 | − | 0.641669i | 0.0334374 | − | 0.0751017i | −0.896055 | − | 0.443944i | \(-0.853579\pi\) |
0.929492 | + | 0.368842i | \(0.120246\pi\) | |||||||
\(74\) | 10.4656 | + | 1.09998i | 1.21660 | + | 0.127870i | ||||
\(75\) | 14.3482 | + | 9.85549i | 1.65678 | + | 1.13801i | ||||
\(76\) | 11.2607i | 1.29169i | ||||||||
\(77\) | 8.77492 | − | 0.0292415i | 0.999994 | − | 0.00333238i | ||||
\(78\) | 14.4791 | + | 5.99282i | 1.63943 | + | 0.678554i | ||||
\(79\) | 1.65794 | + | 0.352406i | 0.186533 | + | 0.0396488i | 0.300231 | − | 0.953867i | \(-0.402936\pi\) |
−0.113698 | + | 0.993515i | \(0.536270\pi\) | |||||||
\(80\) | −0.935102 | + | 8.89690i | −0.104548 | + | 0.994704i | ||||
\(81\) | −3.65170 | + | 8.22588i | −0.405745 | + | 0.913987i | ||||
\(82\) | −2.39280 | + | 2.15448i | −0.264240 | + | 0.237923i | ||||
\(83\) | 1.26586 | − | 3.89592i | 0.138946 | − | 0.427633i | −0.857237 | − | 0.514923i | \(-0.827821\pi\) |
0.996183 | + | 0.0872900i | \(0.0278207\pi\) | |||||||
\(84\) | 8.79192 | − | 8.31942i | 0.959277 | − | 0.907724i | ||||
\(85\) | −3.72304 | − | 2.70495i | −0.403821 | − | 0.293393i | ||||
\(86\) | 1.27726 | − | 6.00903i | 0.137730 | − | 0.647970i | ||||
\(87\) | 4.37799 | − | 0.577583i | 0.469370 | − | 0.0619234i | ||||
\(88\) | −3.04917 | + | 3.42089i | −0.325042 | + | 0.364668i | ||||
\(89\) | 0.903159 | − | 1.56432i | 0.0957347 | − | 0.165817i | −0.814180 | − | 0.580612i | \(-0.802813\pi\) |
0.909915 | + | 0.414795i | \(0.136147\pi\) | |||||||
\(90\) | −22.3466 | − | 11.3709i | −2.35553 | − | 1.19859i | ||||
\(91\) | −10.1578 | + | 4.50191i | −1.06483 | + | 0.471929i | ||||
\(92\) | −5.99448 | − | 8.25069i | −0.624968 | − | 0.860194i | ||||
\(93\) | 1.41674 | − | 0.502129i | 0.146910 | − | 0.0520683i | ||||
\(94\) | 0.886615 | + | 4.17120i | 0.0914474 | + | 0.430226i | ||||
\(95\) | −6.72698 | + | 15.1090i | −0.690173 | + | 1.55015i | ||||
\(96\) | −0.354172 | − | 13.3864i | −0.0361476 | − | 1.36625i | ||||
\(97\) | −2.98133 | + | 0.968691i | −0.302708 | + | 0.0983557i | −0.456433 | − | 0.889758i | \(-0.650873\pi\) |
0.153725 | + | 0.988114i | \(0.450873\pi\) | |||||||
\(98\) | −0.0511943 | + | 15.0806i | −0.00517140 | + | 1.52337i | ||||
\(99\) | 4.56648 | + | 8.84009i | 0.458949 | + | 0.888463i | ||||
\(100\) | 13.2726 | − | 22.9888i | 1.32726 | − | 2.29888i | ||||
\(101\) | 7.88220 | − | 8.75407i | 0.784308 | − | 0.871062i | −0.209990 | − | 0.977704i | \(-0.567343\pi\) |
0.994298 | + | 0.106641i | \(0.0340097\pi\) | |||||||
\(102\) | 3.89062 | + | 2.11107i | 0.385229 | + | 0.209027i | ||||
\(103\) | 1.03677 | − | 0.108969i | 0.102156 | − | 0.0107370i | −0.0533124 | − | 0.998578i | \(-0.516978\pi\) |
0.155469 | + | 0.987841i | \(0.450311\pi\) | |||||||
\(104\) | 1.79304 | − | 5.51840i | 0.175822 | − | 0.541123i | ||||
\(105\) | 16.7665 | − | 5.91043i | 1.63624 | − | 0.576799i | ||||
\(106\) | 17.4006 | − | 12.6422i | 1.69009 | − | 1.22792i | ||||
\(107\) | 1.38038 | + | 3.10039i | 0.133447 | + | 0.299726i | 0.967893 | − | 0.251364i | \(-0.0808790\pi\) |
−0.834446 | + | 0.551089i | \(0.814212\pi\) | |||||||
\(108\) | 12.9413 | + | 4.57090i | 1.24528 | + | 0.439835i | ||||
\(109\) | 1.24340 | + | 2.15364i | 0.119096 | + | 0.206281i | 0.919410 | − | 0.393301i | \(-0.128667\pi\) |
−0.800313 | + | 0.599582i | \(0.795334\pi\) | |||||||
\(110\) | −25.2660 | + | 11.4017i | −2.40902 | + | 1.08711i | ||||
\(111\) | −7.81723 | − | 3.23552i | −0.741979 | − | 0.307102i | ||||
\(112\) | 4.52705 | + | 4.09011i | 0.427766 | + | 0.386479i | ||||
\(113\) | 9.55604 | − | 13.1528i | 0.898957 | − | 1.23731i | −0.0718429 | − | 0.997416i | \(-0.522888\pi\) |
0.970800 | − | 0.239892i | \(-0.0771120\pi\) | |||||||
\(114\) | 4.51405 | − | 15.2544i | 0.422779 | − | 1.42870i | ||||
\(115\) | −3.11425 | − | 14.6514i | −0.290405 | − | 1.36625i | ||||
\(116\) | −1.40012 | − | 6.58704i | −0.129998 | − | 0.611592i | ||||
\(117\) | −9.79510 | − | 7.92311i | −0.905557 | − | 0.732492i | ||||
\(118\) | 13.0412 | − | 17.9497i | 1.20054 | − | 1.65240i | ||||
\(119\) | −2.98654 | + | 0.964784i | −0.273776 | + | 0.0884416i | ||||
\(120\) | −3.55054 | + | 8.57835i | −0.324119 | + | 0.783093i | ||||
\(121\) | 10.7821 | + | 2.17868i | 0.980190 | + | 0.198062i | ||||
\(122\) | 1.97853 | + | 3.42691i | 0.179127 | + | 0.310258i | ||||
\(123\) | 2.33616 | − | 1.11507i | 0.210645 | − | 0.100543i | ||||
\(124\) | −0.932319 | − | 2.09402i | −0.0837247 | − | 0.188049i | ||||
\(125\) | 15.8492 | − | 11.5151i | 1.41759 | − | 1.02994i | ||||
\(126\) | −15.2450 | + | 7.74557i | −1.35813 | + | 0.690030i | ||||
\(127\) | 1.07183 | − | 3.29876i | 0.0951097 | − | 0.292718i | −0.892173 | − | 0.451695i | \(-0.850820\pi\) |
0.987282 | + | 0.158977i | \(0.0508196\pi\) | |||||||
\(128\) | −10.4278 | + | 1.09601i | −0.921697 | + | 0.0968742i | ||||
\(129\) | −2.35551 | + | 4.34111i | −0.207391 | + | 0.382214i | ||||
\(130\) | 23.4852 | − | 26.0829i | 2.05978 | − | 2.28762i | ||||
\(131\) | −8.74940 | + | 15.1544i | −0.764439 | + | 1.32405i | 0.176104 | + | 0.984372i | \(0.443650\pi\) |
−0.940543 | + | 0.339675i | \(0.889683\pi\) | |||||||
\(132\) | 12.8952 | − | 7.99653i | 1.12238 | − | 0.696009i | ||||
\(133\) | 5.62315 | + | 9.77787i | 0.487589 | + | 0.847849i | ||||
\(134\) | 28.2601 | − | 9.18227i | 2.44130 | − | 0.793227i | ||||
\(135\) | 14.6334 | + | 13.8640i | 1.25944 | + | 1.19322i | ||||
\(136\) | 0.666653 | − | 1.49733i | 0.0571650 | − | 0.128395i | ||||
\(137\) | −0.400076 | − | 1.88221i | −0.0341808 | − | 0.160808i | 0.957747 | − | 0.287612i | \(-0.0928614\pi\) |
−0.991928 | + | 0.126804i | \(0.959528\pi\) | |||||||
\(138\) | 4.81303 | + | 13.5799i | 0.409712 | + | 1.15599i | ||||
\(139\) | −5.59696 | − | 7.70355i | −0.474728 | − | 0.653407i | 0.502753 | − | 0.864430i | \(-0.332320\pi\) |
−0.977481 | + | 0.211023i | \(0.932320\pi\) | |||||||
\(140\) | −10.9849 | − | 24.7855i | −0.928390 | − | 2.09476i | ||||
\(141\) | 0.268064 | − | 3.41793i | 0.0225750 | − | 0.287842i | ||||
\(142\) | −11.1358 | + | 19.2878i | −0.934495 | + | 1.61859i | ||||
\(143\) | −13.6090 | + | 2.96429i | −1.13804 | + | 0.247887i | ||||
\(144\) | −1.78688 | + | 6.68322i | −0.148906 | + | 0.556935i | ||||
\(145\) | 2.05640 | − | 9.67459i | 0.170774 | − | 0.803431i | ||||
\(146\) | 1.22422 | + | 0.889450i | 0.101317 | + | 0.0736114i | ||||
\(147\) | 3.47979 | − | 11.6143i | 0.287009 | − | 0.957928i | ||||
\(148\) | −3.98690 | + | 12.2704i | −0.327721 | + | 1.00862i | ||||
\(149\) | −10.0552 | + | 9.05374i | −0.823754 | + | 0.741712i | −0.968835 | − | 0.247708i | \(-0.920323\pi\) |
0.145080 | + | 0.989420i | \(0.453656\pi\) | |||||||
\(150\) | −27.1953 | + | 25.8214i | −2.22049 | + | 2.10831i | ||||
\(151\) | −2.42786 | + | 23.0996i | −0.197577 | + | 1.87982i | 0.226243 | + | 0.974071i | \(0.427356\pi\) |
−0.423820 | + | 0.905746i | \(0.639311\pi\) | |||||||
\(152\) | −5.76178 | − | 1.22470i | −0.467342 | − | 0.0993367i | ||||
\(153\) | −2.51777 | − | 2.51504i | −0.203550 | − | 0.203329i | ||||
\(154\) | −3.86884 | + | 18.5045i | −0.311760 | + | 1.49113i | ||||
\(155\) | − | 3.36661i | − | 0.270413i | ||||||
\(156\) | −10.8777 | + | 15.8363i | −0.870911 | + | 1.26792i | ||||
\(157\) | 17.7996 | + | 1.87081i | 1.42056 | + | 0.149307i | 0.783444 | − | 0.621462i | \(-0.213461\pi\) |
0.637115 | + | 0.770769i | \(0.280128\pi\) | |||||||
\(158\) | −1.48525 | + | 3.33593i | −0.118160 | + | 0.265392i | ||||
\(159\) | −16.2986 | + | 5.77660i | −1.29256 | + | 0.458114i | ||||
\(160\) | −28.5252 | − | 9.26841i | −2.25512 | − | 0.732732i | ||||
\(161\) | −9.32520 | − | 4.17083i | −0.734929 | − | 0.328707i | ||||
\(162\) | −15.6987 | − | 11.3798i | −1.23341 | − | 0.894079i | ||||
\(163\) | −7.34024 | − | 1.56022i | −0.574932 | − | 0.122206i | −0.0887358 | − | 0.996055i | \(-0.528283\pi\) |
−0.486196 | + | 0.873850i | \(0.661616\pi\) | |||||||
\(164\) | −1.97381 | − | 3.41874i | −0.154129 | − | 0.266959i | ||||
\(165\) | 22.0792 | − | 3.02594i | 1.71886 | − | 0.235569i | ||||
\(166\) | 7.64286 | + | 4.41261i | 0.593201 | + | 0.342485i | ||||
\(167\) | −3.50645 | − | 10.7917i | −0.271337 | − | 0.835089i | −0.990165 | − | 0.139902i | \(-0.955321\pi\) |
0.718828 | − | 0.695188i | \(-0.244679\pi\) | |||||||
\(168\) | 3.30062 | + | 5.40340i | 0.254648 | + | 0.416881i | ||||
\(169\) | 3.75021 | − | 2.72469i | 0.288478 | − | 0.209591i | ||||
\(170\) | 7.36777 | − | 6.63397i | 0.565082 | − | 0.508802i | ||||
\(171\) | −6.95996 | + | 10.7301i | −0.532241 | + | 0.820555i | ||||
\(172\) | 6.88071 | + | 3.06349i | 0.524649 | + | 0.233589i | ||||
\(173\) | 11.0666 | − | 4.92717i | 0.841379 | − | 0.374606i | 0.0596462 | − | 0.998220i | \(-0.481003\pi\) |
0.781733 | + | 0.623614i | \(0.214336\pi\) | |||||||
\(174\) | −0.743852 | + | 9.48445i | −0.0563913 | + | 0.719014i | ||||
\(175\) | 0.0451318 | − | 26.5895i | 0.00341164 | − | 2.00997i | ||||
\(176\) | 4.52651 | + | 6.16476i | 0.341199 | + | 0.464686i | ||||
\(177\) | −14.1486 | + | 10.8627i | −1.06348 | + | 0.816493i | ||||
\(178\) | 2.89194 | + | 2.60392i | 0.216760 | + | 0.195172i | ||||
\(179\) | −13.0843 | − | 1.37522i | −0.977967 | − | 0.102788i | −0.397962 | − | 0.917402i | \(-0.630283\pi\) |
−0.580004 | + | 0.814613i | \(0.696949\pi\) | |||||||
\(180\) | 19.3327 | − | 23.9005i | 1.44098 | − | 1.78143i | ||||
\(181\) | 15.6418 | + | 5.08232i | 1.16264 | + | 0.377766i | 0.825893 | − | 0.563827i | \(-0.190672\pi\) |
0.336752 | + | 0.941593i | \(0.390672\pi\) | |||||||
\(182\) | −4.93698 | − | 23.4221i | −0.365953 | − | 1.73616i | ||||
\(183\) | −0.743510 | − | 3.09324i | −0.0549618 | − | 0.228659i | ||||
\(184\) | 4.87361 | − | 2.16987i | 0.359287 | − | 0.159965i | ||||
\(185\) | −12.6796 | + | 14.0821i | −0.932223 | + | 1.03534i | ||||
\(186\) | 0.423546 | + | 3.21042i | 0.0310559 | + | 0.235399i | ||||
\(187\) | −3.91066 | + | 0.430924i | −0.285975 | + | 0.0315123i | ||||
\(188\) | −5.22829 | −0.381312 | ||||||||
\(189\) | 13.5197 | − | 2.49339i | 0.983415 | − | 0.181367i | ||||
\(190\) | −28.8261 | − | 20.9434i | −2.09127 | − | 1.51939i | ||||
\(191\) | 2.11933 | − | 0.222750i | 0.153349 | − | 0.0161176i | −0.0275428 | − | 0.999621i | \(-0.508768\pi\) |
0.180892 | + | 0.983503i | \(0.442102\pi\) | |||||||
\(192\) | 20.5131 | + | 3.79611i | 1.48040 | + | 0.273961i | ||||
\(193\) | −19.1270 | + | 4.06556i | −1.37679 | + | 0.292645i | −0.836100 | − | 0.548578i | \(-0.815170\pi\) |
−0.540689 | + | 0.841223i | \(0.681836\pi\) | |||||||
\(194\) | −0.705927 | − | 6.71644i | −0.0506826 | − | 0.482212i | ||||
\(195\) | −24.0555 | + | 14.7502i | −1.72265 | + | 1.05629i | ||||
\(196\) | −18.0722 | − | 3.90554i | −1.29087 | − | 0.278967i | ||||
\(197\) | − | 7.62812i | − | 0.543481i | −0.962371 | − | 0.271740i | \(-0.912401\pi\) | ||
0.962371 | − | 0.271740i | \(-0.0875992\pi\) | |||||||
\(198\) | −20.6741 | + | 5.66329i | −1.46925 | + | 0.402472i | ||||
\(199\) | 1.30690 | − | 0.754538i | 0.0926436 | − | 0.0534878i | −0.452962 | − | 0.891530i | \(-0.649633\pi\) |
0.545606 | + | 0.838042i | \(0.316300\pi\) | |||||||
\(200\) | 10.3192 | + | 9.29148i | 0.729680 | + | 0.657007i | ||||
\(201\) | −23.8811 | + | 0.631835i | −1.68444 | + | 0.0445662i | ||||
\(202\) | 14.9168 | + | 20.5313i | 1.04955 | + | 1.44458i | ||||
\(203\) | −4.50507 | − | 5.02049i | −0.316194 | − | 0.352370i | ||||
\(204\) | −3.52343 | + | 4.12768i | −0.246690 | + | 0.288995i | ||||
\(205\) | −0.606054 | − | 5.76622i | −0.0423287 | − | 0.402730i | ||||
\(206\) | −0.234761 | + | 2.23360i | −0.0163565 | + | 0.155622i | ||||
\(207\) | −0.612498 | − | 11.5670i | −0.0425716 | − | 0.803963i | ||||
\(208\) | −8.38653 | − | 4.84197i | −0.581501 | − | 0.335730i | ||||
\(209\) | 4.43695 | + | 13.4254i | 0.306910 | + | 0.928654i | ||||
\(210\) | 4.94500 | + | 37.9794i | 0.341237 | + | 2.62083i | ||||
\(211\) | 6.13475 | + | 18.8808i | 0.422334 | + | 1.29981i | 0.905524 | + | 0.424295i | \(0.139478\pi\) |
−0.483190 | + | 0.875515i | \(0.660522\pi\) | |||||||
\(212\) | 10.7256 | + | 24.0901i | 0.736638 | + | 1.65452i | ||||
\(213\) | 12.9849 | − | 12.3290i | 0.889714 | − | 0.844766i | ||||
\(214\) | −7.15175 | + | 1.52015i | −0.488883 | + | 0.103915i | ||||
\(215\) | 7.40211 | + | 8.22088i | 0.504820 | + | 0.560659i | ||||
\(216\) | −3.74629 | + | 6.12459i | −0.254903 | + | 0.416725i | ||||
\(217\) | −1.85522 | − | 1.35272i | −0.125941 | − | 0.0918284i | ||||
\(218\) | −5.09530 | + | 1.65556i | −0.345098 | + | 0.112129i | ||||
\(219\) | −0.740871 | − | 0.964979i | −0.0500634 | − | 0.0652072i | ||||
\(220\) | −7.23300 | − | 33.2064i | −0.487649 | − | 2.23878i | ||||
\(221\) | 4.31418 | − | 2.49080i | 0.290203 | − | 0.167549i | ||||
\(222\) | 10.3197 | − | 15.0240i | 0.692613 | − | 1.00834i | ||||
\(223\) | 0.774136 | − | 1.06551i | 0.0518400 | − | 0.0713516i | −0.782310 | − | 0.622889i | \(-0.785959\pi\) |
0.834150 | + | 0.551538i | \(0.185959\pi\) | |||||||
\(224\) | −16.5691 | + | 11.9952i | −1.10707 | + | 0.801463i | ||||
\(225\) | 26.8561 | − | 13.7022i | 1.79041 | − | 0.913483i | ||||
\(226\) | 23.4365 | + | 26.0288i | 1.55897 | + | 1.73141i | ||||
\(227\) | 20.5931 | + | 9.16864i | 1.36681 | + | 0.608544i | 0.953319 | − | 0.301964i | \(-0.0976422\pi\) |
0.413492 | + | 0.910508i | \(0.364309\pi\) | |||||||
\(228\) | 17.1430 | + | 9.30189i | 1.13533 | + | 0.616033i | ||||
\(229\) | 1.44090 | − | 6.77888i | 0.0952171 | − | 0.447961i | −0.904550 | − | 0.426368i | \(-0.859793\pi\) |
0.999767 | − | 0.0215930i | \(-0.00687381\pi\) | |||||||
\(230\) | 32.2698 | 2.12781 | ||||||||
\(231\) | 7.20400 | − | 13.3829i | 0.473989 | − | 0.880531i | ||||
\(232\) | 3.52269 | 0.231276 | ||||||||
\(233\) | −0.123865 | + | 0.582737i | −0.00811464 | + | 0.0381764i | −0.982019 | − | 0.188784i | \(-0.939545\pi\) |
0.973904 | + | 0.226960i | \(0.0728788\pi\) | |||||||
\(234\) | 21.0838 | − | 17.0923i | 1.37829 | − | 1.11736i | ||||
\(235\) | −7.01506 | − | 3.12331i | −0.457612 | − | 0.203742i | ||||
\(236\) | 18.2018 | + | 20.2151i | 1.18483 | + | 1.31589i | ||||
\(237\) | 1.90604 | − | 2.23291i | 0.123811 | − | 0.145043i | ||||
\(238\) | −0.695357 | − | 6.72568i | −0.0450733 | − | 0.435961i | ||||
\(239\) | 1.21136 | − | 1.66729i | 0.0783561 | − | 0.107848i | −0.768040 | − | 0.640402i | \(-0.778768\pi\) |
0.846396 | + | 0.532554i | \(0.178768\pi\) | |||||||
\(240\) | 12.7720 | + | 8.77287i | 0.824431 | + | 0.566286i | ||||
\(241\) | 15.5893 | − | 9.00047i | 1.00419 | − | 0.579771i | 0.0947071 | − | 0.995505i | \(-0.469809\pi\) |
0.909486 | + | 0.415734i | \(0.136475\pi\) | |||||||
\(242\) | −9.42064 | + | 21.7452i | −0.605582 | + | 1.39783i | ||||
\(243\) | 9.50643 | + | 12.3543i | 0.609838 | + | 0.792526i | ||||
\(244\) | −4.61404 | + | 1.49919i | −0.295384 | + | 0.0959760i | ||||
\(245\) | −21.9153 | − | 16.0363i | −1.40012 | − | 1.02452i | ||||
\(246\) | 1.30337 | + | 5.42245i | 0.0831000 | + | 0.345723i | ||||
\(247\) | −11.9797 | − | 13.3048i | −0.762248 | − | 0.846563i | ||||
\(248\) | 1.17285 | − | 0.249297i | 0.0744762 | − | 0.0158304i | ||||
\(249\) | −4.88540 | − | 5.14534i | −0.309600 | − | 0.326073i | ||||
\(250\) | 17.1666 | + | 38.5568i | 1.08571 | + | 2.43854i | ||||
\(251\) | −7.91491 | − | 24.3596i | −0.499585 | − | 1.53756i | −0.809688 | − | 0.586861i | \(-0.800364\pi\) |
0.310103 | − | 0.950703i | \(-0.399636\pi\) | |||||||
\(252\) | −5.40276 | − | 20.2569i | −0.340342 | − | 1.27606i | ||||
\(253\) | −10.3978 | − | 7.47481i | −0.653703 | − | 0.469938i | ||||
\(254\) | 6.47138 | + | 3.73625i | 0.406050 | + | 0.234433i | ||||
\(255\) | −7.19338 | + | 3.43347i | −0.450467 | + | 0.215012i | ||||
\(256\) | −0.156733 | + | 1.49122i | −0.00979582 | + | 0.0932010i | ||||
\(257\) | −2.57217 | − | 24.4726i | −0.160448 | − | 1.52656i | −0.717781 | − | 0.696269i | \(-0.754842\pi\) |
0.557333 | − | 0.830289i | \(-0.311825\pi\) | |||||||
\(258\) | −8.09295 | − | 6.90823i | −0.503845 | − | 0.430088i | ||||
\(259\) | 2.66547 | + | 12.6455i | 0.165624 | + | 0.785756i | ||||
\(260\) | 25.2932 | + | 34.8131i | 1.56862 | + | 2.15902i | ||||
\(261\) | 2.73714 | − | 7.14208i | 0.169425 | − | 0.442084i | ||||
\(262\) | −28.0158 | − | 25.2256i | −1.73082 | − | 1.55844i | ||||
\(263\) | 12.6609 | − | 7.30978i | 0.780705 | − | 0.450740i | −0.0559750 | − | 0.998432i | \(-0.517827\pi\) |
0.836680 | + | 0.547692i | \(0.184493\pi\) | |||||||
\(264\) | 2.68913 | + | 7.46782i | 0.165505 | + | 0.459613i | ||||
\(265\) | 38.7303i | 2.37918i | ||||||||
\(266\) | −23.1236 | + | 7.46995i | −1.41780 | + | 0.458012i | ||||
\(267\) | −1.63543 | − | 2.66716i | −0.100087 | − | 0.163227i | ||||
\(268\) | 3.80807 | + | 36.2314i | 0.232615 | + | 2.21318i | ||||
\(269\) | −15.6311 | + | 3.32248i | −0.953043 | + | 0.202575i | −0.658092 | − | 0.752937i | \(-0.728636\pi\) |
−0.294950 | + | 0.955513i | \(0.595303\pi\) | |||||||
\(270\) | −35.7702 | + | 24.6271i | −2.17690 | + | 1.49876i | ||||
\(271\) | 4.91785 | − | 0.516887i | 0.298738 | − | 0.0313987i | 0.0460264 | − | 0.998940i | \(-0.485344\pi\) |
0.252712 | + | 0.967542i | \(0.418677\pi\) | |||||||
\(272\) | −2.21304 | − | 1.60787i | −0.134185 | − | 0.0974913i | ||||
\(273\) | −1.53725 | + | 19.1829i | −0.0930386 | + | 1.16100i | ||||
\(274\) | 4.14558 | 0.250444 | ||||||||
\(275\) | 6.76598 | − | 32.6378i | 0.408004 | − | 1.96813i | ||||
\(276\) | −17.5124 | + | 2.31039i | −1.05412 | + | 0.139069i | ||||
\(277\) | 20.3812 | − | 22.6356i | 1.22459 | − | 1.36004i | 0.312570 | − | 0.949895i | \(-0.398810\pi\) |
0.912019 | − | 0.410149i | \(-0.134523\pi\) | |||||||
\(278\) | 18.7407 | − | 8.34389i | 1.12399 | − | 0.500433i | ||||
\(279\) | 0.405872 | − | 2.57161i | 0.0242989 | − | 0.153958i | ||||
\(280\) | 13.8768 | − | 2.92499i | 0.829296 | − | 0.174802i | ||||
\(281\) | −0.882675 | − | 0.286799i | −0.0526560 | − | 0.0171090i | 0.282571 | − | 0.959247i | \(-0.408813\pi\) |
−0.335227 | + | 0.942138i | \(0.608813\pi\) | |||||||
\(282\) | 7.08254 | + | 2.09585i | 0.421759 | + | 0.124806i | ||||
\(283\) | −19.2879 | − | 2.02724i | −1.14654 | − | 0.120507i | −0.487857 | − | 0.872923i | \(-0.662221\pi\) |
−0.658687 | + | 0.752417i | \(0.728888\pi\) | |||||||
\(284\) | −20.2921 | − | 18.2711i | −1.20412 | − | 1.08419i | ||||
\(285\) | 17.4449 | + | 22.7218i | 1.03335 | + | 1.34593i | ||||
\(286\) | −0.150923 | − | 30.0059i | −0.00892428 | − | 1.77429i | ||||
\(287\) | −3.42108 | − | 1.98291i | −0.201940 | − | 0.117048i | ||||
\(288\) | −20.6718 | − | 10.5187i | −1.21810 | − | 0.619819i | ||||
\(289\) | −14.2448 | + | 6.34217i | −0.837927 | + | 0.373069i | ||||
\(290\) | 19.4661 | + | 8.66689i | 1.14309 | + | 0.508937i | ||||
\(291\) | −0.988008 | + | 5.33890i | −0.0579180 | + | 0.312972i | ||||
\(292\) | −1.37873 | + | 1.24141i | −0.0806841 | + | 0.0726483i | ||||
\(293\) | 8.53909 | − | 6.20401i | 0.498859 | − | 0.362442i | −0.309722 | − | 0.950827i | \(-0.600236\pi\) |
0.808581 | + | 0.588385i | \(0.200236\pi\) | |||||||
\(294\) | 22.9161 | + | 12.5352i | 1.33649 | + | 0.731070i | ||||
\(295\) | 12.3460 | + | 37.9971i | 0.718813 | + | 2.21228i | ||||
\(296\) | −5.84482 | − | 3.37451i | −0.339723 | − | 0.196139i | ||||
\(297\) | 17.2301 | + | 0.350438i | 0.999793 | + | 0.0203345i | ||||
\(298\) | −14.5750 | − | 25.2447i | −0.844308 | − | 1.46238i | ||||
\(299\) | 15.8601 | + | 3.37117i | 0.917214 | + | 0.194960i | ||||
\(300\) | −24.0339 | − | 39.1959i | −1.38760 | − | 2.26297i | ||||
\(301\) | 7.50444 | − | 0.775872i | 0.432549 | − | 0.0447205i | ||||
\(302\) | −47.5902 | − | 15.4630i | −2.73851 | − | 0.889796i | ||||
\(303\) | −6.81593 | − | 19.2310i | −0.391565 | − | 1.10479i | ||||
\(304\) | −3.99863 | + | 8.98107i | −0.229337 | + | 0.515099i | ||||
\(305\) | −7.08649 | − | 0.744820i | −0.405771 | − | 0.0426483i | ||||
\(306\) | 6.42770 | − | 4.17916i | 0.367447 | − | 0.238906i | ||||
\(307\) | − | 3.15004i | − | 0.179782i | −0.995952 | − | 0.0898912i | \(-0.971348\pi\) | ||
0.995952 | − | 0.0898912i | \(-0.0286519\pi\) | |||||||
\(308\) | −21.2052 | − | 9.35661i | −1.20828 | − | 0.533142i | ||||
\(309\) | 0.690533 | − | 1.66837i | 0.0392830 | − | 0.0949105i | ||||
\(310\) | 7.09446 | + | 1.50797i | 0.402938 | + | 0.0856471i | ||||
\(311\) | 0.514006 | − | 4.89044i | 0.0291466 | − | 0.277312i | −0.970235 | − | 0.242163i | \(-0.922143\pi\) |
0.999382 | − | 0.0351482i | \(-0.0111903\pi\) | |||||||
\(312\) | −6.91996 | − | 7.28815i | −0.391766 | − | 0.412610i | ||||
\(313\) | 2.58978 | − | 2.33185i | 0.146383 | − | 0.131804i | −0.592686 | − | 0.805434i | \(-0.701932\pi\) |
0.739069 | + | 0.673630i | \(0.235266\pi\) | |||||||
\(314\) | −11.9151 | + | 36.6710i | −0.672410 | + | 2.06946i | ||||
\(315\) | 4.85203 | − | 30.4072i | 0.273381 | − | 1.71325i | ||||
\(316\) | −3.62199 | − | 2.63153i | −0.203753 | − | 0.148035i | ||||
\(317\) | −2.60256 | + | 12.2441i | −0.146174 | + | 0.687696i | 0.842632 | + | 0.538490i | \(0.181005\pi\) |
−0.988806 | + | 0.149206i | \(0.952328\pi\) | |||||||
\(318\) | −4.87257 | − | 36.9334i | −0.273240 | − | 2.07112i | ||||
\(319\) | −4.26471 | − | 7.30163i | −0.238778 | − | 0.408813i | ||||
\(320\) | 23.3625 | − | 40.4650i | 1.30600 | − | 2.26206i | ||||
\(321\) | 5.86023 | + | 0.459610i | 0.327086 | + | 0.0256529i | ||||
\(322\) | 12.9661 | − | 17.7828i | 0.722574 | − | 0.990996i | ||||
\(323\) | −2.97257 | − | 4.09140i | −0.165398 | − | 0.227651i | ||||
\(324\) | 17.6488 | − | 15.9258i | 0.980490 | − | 0.884767i | ||||
\(325\) | 8.77474 | + | 41.2819i | 0.486735 | + | 2.28991i | ||||
\(326\) | 6.57569 | − | 14.7692i | 0.364194 | − | 0.817992i | ||||
\(327\) | 4.30577 | − | 0.113920i | 0.238110 | − | 0.00629979i | ||||
\(328\) | 1.96394 | − | 0.638124i | 0.108441 | − | 0.0352345i | ||||
\(329\) | −4.53982 | + | 2.61080i | −0.250289 | + | 0.143938i | ||||
\(330\) | −3.51316 | + | 47.8828i | −0.193393 | + | 2.63586i | ||||
\(331\) | 4.28526 | − | 7.42229i | 0.235539 | − | 0.407966i | −0.723890 | − | 0.689915i | \(-0.757648\pi\) |
0.959429 | + | 0.281949i | \(0.0909810\pi\) | |||||||
\(332\) | −7.24001 | + | 8.04085i | −0.397347 | + | 0.441299i | ||||
\(333\) | −11.3831 | + | 9.22810i | −0.623791 | + | 0.505697i | ||||
\(334\) | 24.3120 | − | 2.55530i | 1.33029 | − | 0.139820i | ||||
\(335\) | −16.5346 | + | 50.8884i | −0.903384 | + | 2.78033i | ||||
\(336\) | 9.96627 | − | 3.51326i | 0.543705 | − | 0.191664i | ||||
\(337\) | −13.5301 | + | 9.83018i | −0.737031 | + | 0.535484i | −0.891780 | − | 0.452470i | \(-0.850543\pi\) |
0.154749 | + | 0.987954i | \(0.450543\pi\) | |||||||
\(338\) | 4.06194 | + | 9.12326i | 0.220940 | + | 0.496240i | ||||
\(339\) | −12.1297 | − | 25.4128i | −0.658797 | − | 1.38023i | ||||
\(340\) | 6.07765 | + | 10.5268i | 0.329607 | + | 0.570896i | ||||
\(341\) | −1.93663 | − | 2.12921i | −0.104875 | − | 0.115303i | ||||
\(342\) | −19.4941 | − | 19.4730i | −1.05412 | − | 1.05298i | ||||
\(343\) | −17.6427 | + | 5.63331i | −0.952618 | + | 0.304170i | ||||
\(344\) | −2.31584 | + | 3.18749i | −0.124862 | + | 0.171858i | ||||
\(345\) | −24.8775 | − | 7.36171i | −1.33936 | − | 0.396341i | ||||
\(346\) | 5.42607 | + | 25.5276i | 0.291707 | + | 1.37237i | ||||
\(347\) | 4.11256 | + | 19.3481i | 0.220774 | + | 1.03866i | 0.939284 | + | 0.343142i | \(0.111491\pi\) |
−0.718510 | + | 0.695517i | \(0.755175\pi\) | |||||||
\(348\) | −11.1846 | − | 3.30971i | −0.599555 | − | 0.177419i | ||||
\(349\) | 9.14008 | − | 12.5802i | 0.489257 | − | 0.673405i | −0.490994 | − | 0.871163i | \(-0.663366\pi\) |
0.980251 | + | 0.197758i | \(0.0633661\pi\) | |||||||
\(350\) | 56.0118 | + | 12.0051i | 2.99395 | + | 0.641698i | ||||
\(351\) | −20.1532 | + | 8.36697i | −1.07570 | + | 0.446596i | ||||
\(352\) | −23.3724 | + | 10.5473i | −1.24575 | + | 0.562170i | ||||
\(353\) | 15.2869 | + | 26.4777i | 0.813641 | + | 1.40927i | 0.910300 | + | 0.413950i | \(0.135851\pi\) |
−0.0966584 | + | 0.995318i | \(0.530815\pi\) | |||||||
\(354\) | −16.5536 | − | 34.6811i | −0.879812 | − | 1.84328i | ||||
\(355\) | −16.3121 | − | 36.6375i | −0.865755 | − | 1.94452i | ||||
\(356\) | −3.85991 | + | 2.80439i | −0.204575 | + | 0.148632i | ||||
\(357\) | −0.998262 | + | 5.34361i | −0.0528336 | + | 0.282814i | ||||
\(358\) | 8.75872 | − | 26.9566i | 0.462913 | − | 1.42470i | ||||
\(359\) | −1.01329 | + | 0.106501i | −0.0534794 | + | 0.00562092i | −0.131230 | − | 0.991352i | \(-0.541893\pi\) |
0.0777510 | + | 0.996973i | \(0.475226\pi\) | |||||||
\(360\) | 10.1266 | + | 12.4914i | 0.533718 | + | 0.658356i | ||||
\(361\) | 0.551876 | − | 0.612920i | 0.0290461 | − | 0.0322590i | ||||
\(362\) | −17.7163 | + | 30.6855i | −0.931146 | + | 1.61279i | ||||
\(363\) | 12.2233 | − | 14.6147i | 0.641558 | − | 0.767075i | ||||
\(364\) | 29.3472 | + | 0.0498127i | 1.53821 | + | 0.00261089i | ||||
\(365\) | −2.59152 | + | 0.842035i | −0.135646 | + | 0.0440741i | ||||
\(366\) | 6.85142 | − | 0.181272i | 0.358130 | − | 0.00947523i | ||||
\(367\) | −12.4952 | + | 28.0648i | −0.652246 | + | 1.46497i | 0.219800 | + | 0.975545i | \(0.429459\pi\) |
−0.872046 | + | 0.489424i | \(0.837207\pi\) | |||||||
\(368\) | −1.85116 | − | 8.70904i | −0.0964985 | − | 0.453990i | ||||
\(369\) | 0.232225 | − | 4.47763i | 0.0120892 | − | 0.233096i | ||||
\(370\) | −23.9958 | − | 33.0274i | −1.24748 | − | 1.71701i | ||||
\(371\) | 21.3429 | + | 15.5620i | 1.10807 | + | 0.807937i | ||||
\(372\) | −3.95804 | − | 0.310424i | −0.205215 | − | 0.0160947i | ||||
\(373\) | 4.46665 | − | 7.73646i | 0.231274 | − | 0.400579i | −0.726909 | − | 0.686734i | \(-0.759044\pi\) |
0.958183 | + | 0.286155i | \(0.0923772\pi\) | |||||||
\(374\) | 0.843576 | − | 8.43394i | 0.0436203 | − | 0.436109i | ||||
\(375\) | −4.43814 | − | 33.6405i | −0.229185 | − | 1.73719i | ||||
\(376\) | 0.568625 | − | 2.67517i | 0.0293246 | − | 0.137961i | ||||
\(377\) | 8.66190 | + | 6.29324i | 0.446110 | + | 0.324118i | ||||
\(378\) | −0.801448 | + | 29.6070i | −0.0412220 | + | 1.52282i | ||||
\(379\) | −7.15669 | + | 22.0260i | −0.367615 | + | 1.13140i | 0.580713 | + | 0.814108i | \(0.302774\pi\) |
−0.948327 | + | 0.317293i | \(0.897226\pi\) | |||||||
\(380\) | 32.4642 | − | 29.2309i | 1.66538 | − | 1.49951i | ||||
\(381\) | −4.13658 | − | 4.35668i | −0.211923 | − | 0.223199i | ||||
\(382\) | −0.479888 | + | 4.56583i | −0.0245532 | + | 0.233608i | ||||
\(383\) | −29.8418 | − | 6.34307i | −1.52485 | − | 0.324116i | −0.632175 | − | 0.774826i | \(-0.717838\pi\) |
−0.892671 | + | 0.450710i | \(0.851171\pi\) | |||||||
\(384\) | −6.94535 | + | 16.7804i | −0.354429 | + | 0.856323i | ||||
\(385\) | −22.8626 | − | 25.2219i | −1.16518 | − | 1.28543i | ||||
\(386\) | − | 42.1273i | − | 2.14422i | ||||||
\(387\) | 4.66306 | + | 7.17195i | 0.237037 | + | 0.364571i | ||||
\(388\) | 8.23460 | + | 0.865491i | 0.418048 | + | 0.0439386i | ||||
\(389\) | −1.60633 | + | 3.60788i | −0.0814443 | + | 0.182927i | −0.949677 | − | 0.313230i | \(-0.898589\pi\) |
0.868233 | + | 0.496156i | \(0.165256\pi\) | |||||||
\(390\) | −20.3082 | − | 57.2991i | −1.02835 | − | 2.90145i | ||||
\(391\) | 4.35600 | + | 1.41535i | 0.220293 | + | 0.0715774i | ||||
\(392\) | 3.96388 | − | 8.82229i | 0.200206 | − | 0.445593i | ||||
\(393\) | 15.8433 | + | 25.8382i | 0.799190 | + | 1.30337i | ||||
\(394\) | 16.0747 | + | 3.41679i | 0.809833 | + | 0.172135i | ||||
\(395\) | −3.28777 | − | 5.69458i | −0.165426 | − | 0.286526i | ||||
\(396\) | −1.52167 | − | 26.2369i | −0.0764670 | − | 1.31846i | ||||
\(397\) | 11.5236 | + | 6.65313i | 0.578351 | + | 0.333911i | 0.760478 | − | 0.649364i | \(-0.224965\pi\) |
−0.182127 | + | 0.983275i | \(0.558298\pi\) | |||||||
\(398\) | 1.00465 | + | 3.09200i | 0.0503586 | + | 0.154988i | ||||
\(399\) | 19.5306 | − | 0.483561i | 0.977755 | − | 0.0242083i | ||||
\(400\) | 18.7489 | − | 13.6219i | 0.937447 | − | 0.681095i | ||||
\(401\) | 16.6558 | − | 14.9970i | 0.831752 | − | 0.748913i | −0.138667 | − | 0.990339i | \(-0.544282\pi\) |
0.970419 | + | 0.241426i | \(0.0776152\pi\) | |||||||
\(402\) | 9.36537 | − | 50.6076i | 0.467102 | − | 2.52408i | ||||
\(403\) | 3.32928 | + | 1.48229i | 0.165843 | + | 0.0738382i | ||||
\(404\) | −28.4244 | + | 12.6554i | −1.41417 | + | 0.629628i | ||||
\(405\) | 33.1942 | − | 10.8253i | 1.64943 | − | 0.537914i | ||||
\(406\) | 12.5976 | − | 7.24474i | 0.625208 | − | 0.359551i | ||||
\(407\) | 0.0814833 | + | 16.2002i | 0.00403898 | + | 0.803012i | ||||
\(408\) | −1.72881 | − | 2.25177i | −0.0855890 | − | 0.111479i | ||||
\(409\) | 10.8729 | + | 9.78999i | 0.537630 | + | 0.484084i | 0.892635 | − | 0.450780i | \(-0.148854\pi\) |
−0.355005 | + | 0.934864i | \(0.615521\pi\) | |||||||
\(410\) | 12.4226 | + | 1.30567i | 0.613509 | + | 0.0644824i | ||||
\(411\) | −3.19592 | − | 0.945732i | −0.157643 | − | 0.0466495i | ||||
\(412\) | −2.61879 | − | 0.850895i | −0.129018 | − | 0.0419206i | ||||
\(413\) | 25.8996 | + | 8.46392i | 1.27444 | + | 0.416482i | ||||
\(414\) | 24.6495 | + | 3.89038i | 1.21146 | + | 0.191202i | ||||
\(415\) | −14.5178 | + | 6.46373i | −0.712650 | + | 0.317292i | ||||
\(416\) | 21.7251 | − | 24.1281i | 1.06516 | − | 1.18298i | ||||
\(417\) | −16.3511 | + | 2.15718i | −0.800717 | + | 0.105638i | ||||
\(418\) | −30.2787 | + | 3.33648i | −1.48098 | + | 0.163193i | ||||
\(419\) | 15.4042 | 0.752542 | 0.376271 | − | 0.926510i | \(-0.377206\pi\) | ||||
0.376271 | + | 0.926510i | \(0.377206\pi\) | |||||||
\(420\) | −46.8070 | − | 3.75096i | −2.28395 | − | 0.183028i | ||||
\(421\) | −4.94134 | − | 3.59010i | −0.240826 | − | 0.174971i | 0.460825 | − | 0.887491i | \(-0.347554\pi\) |
−0.701651 | + | 0.712520i | \(0.747554\pi\) | |||||||
\(422\) | −42.5354 | + | 4.47066i | −2.07059 | + | 0.217628i | ||||
\(423\) | −4.98196 | − | 3.23148i | −0.242231 | − | 0.157120i | ||||
\(424\) | −13.4928 | + | 2.86797i | −0.655266 | + | 0.139281i | ||||
\(425\) | 1.24615 | + | 11.8563i | 0.0604471 | + | 0.575116i | ||||
\(426\) | 20.1646 | + | 32.8856i | 0.976977 | + | 1.59331i | ||||
\(427\) | −3.25782 | + | 3.60585i | −0.157657 | + | 0.174499i | ||||
\(428\) | − | 8.96418i | − | 0.433300i | ||||||
\(429\) | −6.72890 | + | 23.1667i | −0.324874 | + | 1.11850i | ||||
\(430\) | −20.6394 | + | 11.9162i | −0.995321 | + | 0.574649i | ||||
\(431\) | 8.70747 | + | 7.84024i | 0.419424 | + | 0.377651i | 0.851647 | − | 0.524116i | \(-0.175604\pi\) |
−0.432223 | + | 0.901767i | \(0.642271\pi\) | |||||||
\(432\) | 8.69836 | + | 8.24098i | 0.418500 | + | 0.396494i | ||||
\(433\) | −9.77860 | − | 13.4591i | −0.469930 | − | 0.646803i | 0.506601 | − | 0.862181i | \(-0.330902\pi\) |
−0.976531 | + | 0.215378i | \(0.930902\pi\) | |||||||
\(434\) | 3.68157 | − | 3.30360i | 0.176721 | − | 0.158578i | ||||
\(435\) | −13.0297 | − | 11.1223i | −0.624727 | − | 0.533274i | ||||
\(436\) | −0.686596 | − | 6.53253i | −0.0328820 | − | 0.312851i | ||||
\(437\) | 1.72061 | − | 16.3705i | 0.0823080 | − | 0.783108i | ||||
\(438\) | 2.36535 | − | 1.12900i | 0.113021 | − | 0.0539458i | ||||
\(439\) | 34.7403 | + | 20.0573i | 1.65806 | + | 0.957283i | 0.973608 | + | 0.228228i | \(0.0732933\pi\) |
0.684455 | + | 0.729055i | \(0.260040\pi\) | |||||||
\(440\) | 17.7775 | − | 0.0894169i | 0.847508 | − | 0.00426278i | ||||
\(441\) | −14.8068 | − | 14.8915i | −0.705087 | − | 0.709120i | ||||
\(442\) | 3.31644 | + | 10.2070i | 0.157747 | + | 0.485495i | ||||
\(443\) | 5.47050 | + | 12.2869i | 0.259911 | + | 0.583770i | 0.995616 | − | 0.0935319i | \(-0.0298157\pi\) |
−0.735705 | + | 0.677302i | \(0.763149\pi\) | |||||||
\(444\) | 15.3869 | + | 16.2056i | 0.730228 | + | 0.769082i | ||||
\(445\) | −6.85434 | + | 1.45693i | −0.324927 | + | 0.0690653i | ||||
\(446\) | 1.89859 | + | 2.10860i | 0.0899008 | + | 0.0998450i | ||||
\(447\) | 5.47714 | + | 22.7867i | 0.259060 | + | 1.07777i | ||||
\(448\) | −12.9117 | − | 29.1332i | −0.610022 | − | 1.37642i | ||||
\(449\) | −6.04485 | + | 1.96409i | −0.285274 | + | 0.0926911i | −0.448159 | − | 0.893954i | \(-0.647920\pi\) |
0.162885 | + | 0.986645i | \(0.447920\pi\) | |||||||
\(450\) | 16.8453 | + | 62.7314i | 0.794097 | + | 2.95719i | ||||
\(451\) | −3.70030 | − | 3.29822i | −0.174240 | − | 0.155307i | ||||
\(452\) | −37.1890 | + | 21.4711i | −1.74922 | + | 1.00992i | ||||
\(453\) | 33.1608 | + | 22.7775i | 1.55803 | + | 1.07018i | ||||
\(454\) | −28.5451 | + | 39.2890i | −1.33969 | + | 1.84392i | ||||
\(455\) | 39.3469 | + | 17.5985i | 1.84461 | + | 0.825029i | ||||
\(456\) | −6.62399 | + | 7.75996i | −0.310197 | + | 0.363393i | ||||
\(457\) | −27.8401 | − | 30.9195i | −1.30230 | − | 1.44635i | −0.822263 | − | 0.569107i | \(-0.807289\pi\) |
−0.480040 | − | 0.877247i | \(-0.659378\pi\) | |||||||
\(458\) | 13.6397 | + | 6.07280i | 0.637343 | + | 0.283763i | ||||
\(459\) | −5.90864 | + | 1.75546i | −0.275792 | + | 0.0819376i | ||||
\(460\) | −8.22580 | + | 38.6994i | −0.383530 | + | 1.80437i | ||||
\(461\) | −10.3513 | −0.482110 | −0.241055 | − | 0.970511i | \(-0.577493\pi\) | ||||
−0.241055 | + | 0.970511i | \(0.577493\pi\) | |||||||
\(462\) | 24.9750 | + | 21.1755i | 1.16194 | + | 0.985172i | ||||
\(463\) | 15.9086 | 0.739337 | 0.369669 | − | 0.929164i | \(-0.379471\pi\) | ||||
0.369669 | + | 0.929164i | \(0.379471\pi\) | |||||||
\(464\) | 1.22236 | − | 5.75074i | 0.0567465 | − | 0.266971i | ||||
\(465\) | −5.12526 | − | 2.78099i | −0.237678 | − | 0.128965i | ||||
\(466\) | −1.17252 | − | 0.522040i | −0.0543160 | − | 0.0241830i | ||||
\(467\) | 9.96036 | + | 11.0621i | 0.460910 | + | 0.511893i | 0.928134 | − | 0.372246i | \(-0.121412\pi\) |
−0.467224 | + | 0.884139i | \(0.654746\pi\) | |||||||
\(468\) | 15.1234 | + | 29.6415i | 0.699079 | + | 1.37018i | ||||
\(469\) | 21.3992 | + | 29.5588i | 0.988122 | + | 1.36490i | ||||
\(470\) | 9.72393 | − | 13.3838i | 0.448531 | − | 0.617350i | ||||
\(471\) | 17.5514 | − | 25.5523i | 0.808726 | − | 1.17739i | ||||
\(472\) | −12.3231 | + | 7.11476i | −0.567218 | + | 0.327483i | ||||
\(473\) | 9.41050 | + | 0.941253i | 0.432695 | + | 0.0432789i | ||||
\(474\) | 3.85166 | + | 5.01676i | 0.176913 | + | 0.230427i | ||||
\(475\) | 40.7481 | − | 13.2399i | 1.86965 | − | 0.607487i | ||||
\(476\) | 8.24298 | + | 0.880520i | 0.377816 | + | 0.0403586i | ||||
\(477\) | −4.66924 | + | 29.5844i | −0.213790 | + | 1.35457i | ||||
\(478\) | 2.97089 | + | 3.29950i | 0.135885 | + | 0.150916i | ||||
\(479\) | −27.4259 | + | 5.82956i | −1.25312 | + | 0.266360i | −0.786219 | − | 0.617948i | \(-0.787964\pi\) |
−0.466904 | + | 0.884308i | \(0.654631\pi\) | |||||||
\(480\) | −37.6733 | + | 35.7701i | −1.71954 | + | 1.63267i | ||||
\(481\) | −8.34326 | − | 18.7393i | −0.380420 | − | 0.854437i | ||||
\(482\) | 11.9839 | + | 36.8828i | 0.545853 | + | 1.67996i | ||||
\(483\) | −14.0527 | + | 10.7512i | −0.639418 | + | 0.489196i | ||||
\(484\) | −23.6764 | − | 16.8407i | −1.07620 | − | 0.765484i | ||||
\(485\) | 10.5317 | + | 6.08051i | 0.478222 | + | 0.276102i | ||||
\(486\) | −30.2923 | + | 14.4992i | −1.37408 | + | 0.657695i | ||||
\(487\) | 0.653097 | − | 6.21380i | 0.0295946 | − | 0.281574i | −0.969709 | − | 0.244263i | \(-0.921454\pi\) |
0.999304 | − | 0.0373113i | \(-0.0118793\pi\) | |||||||
\(488\) | −0.265276 | − | 2.52393i | −0.0120085 | − | 0.114253i | ||||
\(489\) | −8.43865 | + | 9.88582i | −0.381609 | + | 0.447052i | ||||
\(490\) | 43.6097 | − | 38.9991i | 1.97008 | − | 1.76180i | ||||
\(491\) | −15.5414 | − | 21.3909i | −0.701375 | − | 0.965360i | −0.999940 | − | 0.0109704i | \(-0.996508\pi\) |
0.298565 | − | 0.954389i | \(-0.403492\pi\) | |||||||
\(492\) | −6.83508 | + | 0.180840i | −0.308149 | + | 0.00815287i | ||||
\(493\) | 2.24755 | + | 2.02370i | 0.101224 | + | 0.0911429i | ||||
\(494\) | 33.4031 | − | 19.2853i | 1.50288 | − | 0.867686i | ||||
\(495\) | 13.6319 | − | 36.1125i | 0.612707 | − | 1.62314i | ||||
\(496\) | − | 2.00117i | − | 0.0898552i | ||||||
\(497\) | −26.7439 | − | 5.73206i | −1.19963 | − | 0.257118i | ||||
\(498\) | 13.0311 | − | 7.99031i | 0.583935 | − | 0.358054i | ||||
\(499\) | −1.65572 | − | 15.7531i | −0.0741202 | − | 0.705207i | −0.966977 | − | 0.254865i | \(-0.917969\pi\) |
0.892856 | − | 0.450341i | \(-0.148698\pi\) | |||||||
\(500\) | −50.6148 | + | 10.7585i | −2.26356 | + | 0.481135i | ||||
\(501\) | −19.3256 | − | 3.57637i | −0.863405 | − | 0.159780i | ||||
\(502\) | 54.8782 | − | 5.76793i | 2.44933 | − | 0.257435i | ||||
\(503\) | −5.49455 | − | 3.99203i | −0.244990 | − | 0.177996i | 0.458513 | − | 0.888687i | \(-0.348382\pi\) |
−0.703504 | + | 0.710692i | \(0.748382\pi\) | |||||||
\(504\) | 10.9525 | − | 0.561318i | 0.487863 | − | 0.0250031i | ||||
\(505\) | −45.6986 | −2.03356 | ||||||||
\(506\) | 20.4090 | − | 18.5631i | 0.907293 | − | 0.825231i | ||||
\(507\) | −1.05015 | − | 7.95997i | −0.0466387 | − | 0.353515i | ||||
\(508\) | −6.13028 | + | 6.80836i | −0.271987 | + | 0.302072i | ||||
\(509\) | −13.6588 | + | 6.08130i | −0.605417 | + | 0.269549i | −0.686467 | − | 0.727161i | \(-0.740839\pi\) |
0.0810502 | + | 0.996710i | \(0.474173\pi\) | |||||||
\(510\) | −4.01328 | − | 16.6965i | −0.177711 | − | 0.739335i | ||||
\(511\) | −0.577264 | + | 1.76643i | −0.0255367 | + | 0.0781422i | ||||
\(512\) | −23.0164 | − | 7.47847i | −1.01719 | − | 0.330505i | ||||
\(513\) | 10.5861 | + | 19.4593i | 0.467387 | + | 0.859151i | ||||
\(514\) | 52.7232 | + | 5.54143i | 2.32552 | + | 0.244422i | ||||
\(515\) | −3.00544 | − | 2.70611i | −0.132436 | − | 0.119246i | ||||
\(516\) | 10.3476 | − | 7.94446i | 0.455528 | − | 0.349735i | ||||
\(517\) | −6.23335 | + | 2.06006i | −0.274142 | + | 0.0906012i | ||||
\(518\) | −27.8419 | − | 0.0472575i | −1.22330 | − | 0.00207638i | ||||
\(519\) | 1.64054 | − | 20.9177i | 0.0720119 | − | 0.918184i | ||||
\(520\) | −20.5638 | + | 9.15559i | −0.901782 | + | 0.401499i | ||||
\(521\) | 8.60140 | + | 3.82959i | 0.376834 | + | 0.167777i | 0.586409 | − | 0.810015i | \(-0.300541\pi\) |
−0.209575 | + | 0.977793i | \(0.567208\pi\) | |||||||
\(522\) | 13.8245 | + | 8.96706i | 0.605081 | + | 0.392477i | ||||
\(523\) | 4.90025 | − | 4.41220i | 0.214273 | − | 0.192932i | −0.555004 | − | 0.831848i | \(-0.687283\pi\) |
0.769277 | + | 0.638915i | \(0.220617\pi\) | |||||||
\(524\) | 37.3930 | − | 27.1676i | 1.63352 | − | 1.18682i | ||||
\(525\) | −40.4420 | − | 22.0329i | −1.76503 | − | 0.961596i | ||||
\(526\) | 9.73282 | + | 29.9545i | 0.424371 | + | 1.30608i | ||||
\(527\) | 0.891520 | + | 0.514719i | 0.0388352 | + | 0.0224215i | ||||
\(528\) | 13.1242 | − | 1.79867i | 0.571159 | − | 0.0782770i | ||||
\(529\) | −4.04606 | − | 7.00798i | −0.175916 | − | 0.304695i | ||||
\(530\) | −81.6163 | − | 17.3481i | −3.54518 | − | 0.753552i | ||||
\(531\) | 4.84973 | + | 30.5128i | 0.210460 | + | 1.32414i | ||||
\(532\) | −3.06392 | − | 29.6350i | −0.132838 | − | 1.28484i | ||||
\(533\) | 5.96912 | + | 1.93949i | 0.258551 | + | 0.0840085i | ||||
\(534\) | 6.35304 | − | 2.25167i | 0.274923 | − | 0.0974393i | ||||
\(535\) | 5.35508 | − | 12.0277i | 0.231520 | − | 0.520003i | ||||
\(536\) | −18.9528 | − | 1.99202i | −0.818635 | − | 0.0860420i | ||||
\(537\) | −12.9019 | + | 18.7833i | −0.556758 | + | 0.810559i | ||||
\(538\) | − | 34.4275i | − | 1.48428i | ||||||
\(539\) | −23.0852 | + | 2.46452i | −0.994350 | + | 0.106154i | ||||
\(540\) | −20.4158 | − | 49.1747i | −0.878555 | − | 2.11614i | ||||
\(541\) | −15.7328 | − | 3.34412i | −0.676408 | − | 0.143775i | −0.143115 | − | 0.989706i | \(-0.545712\pi\) |
−0.533292 | + | 0.845931i | \(0.679045\pi\) | |||||||
\(542\) | −1.11357 | + | 10.5949i | −0.0478319 | + | 0.455091i | ||||
\(543\) | 20.6581 | − | 19.6145i | 0.886525 | − | 0.841738i | ||||
\(544\) | 6.81560 | − | 6.13679i | 0.292216 | − | 0.263113i | ||||
\(545\) | 2.98120 | − | 9.17519i | 0.127701 | − | 0.393022i | ||||
\(546\) | −39.7355 | − | 11.8318i | −1.70052 | − | 0.506356i | ||||
\(547\) | −18.3481 | − | 13.3307i | −0.784508 | − | 0.569978i | 0.121820 | − | 0.992552i | \(-0.461127\pi\) |
−0.906329 | + | 0.422574i | \(0.861127\pi\) | |||||||
\(548\) | −1.05674 | + | 4.97156i | −0.0451416 | + | 0.212375i | ||||
\(549\) | −5.32327 | − | 1.42327i | −0.227192 | − | 0.0607436i | ||||
\(550\) | 65.7469 | + | 28.8771i | 2.80346 | + | 1.23132i | ||||
\(551\) | 5.43465 | − | 9.41308i | 0.231524 | − | 0.401011i | ||||
\(552\) | 0.722477 | − | 9.21191i | 0.0307507 | − | 0.392085i | ||||
\(553\) | −4.45913 | − | 0.476327i | −0.189621 | − | 0.0202555i | ||||
\(554\) | 38.5709 | + | 53.0883i | 1.63872 | + | 2.25551i | ||||
\(555\) | 10.9644 | + | 30.9357i | 0.465411 | + | 1.31315i | ||||
\(556\) | 5.22922 | + | 24.6016i | 0.221769 | + | 1.04334i | ||||
\(557\) | −10.1435 | + | 22.7827i | −0.429794 | + | 0.965333i | 0.560731 | + | 0.827998i | \(0.310520\pi\) |
−0.990525 | + | 0.137335i | \(0.956146\pi\) | |||||||
\(558\) | 5.23735 | + | 2.00717i | 0.221715 | + | 0.0849702i | ||||
\(559\) | −11.3888 | + | 3.70045i | −0.481695 | + | 0.156512i | ||||
\(560\) | 0.0401740 | − | 23.6686i | 0.00169766 | − | 1.00018i | ||||
\(561\) | −2.57437 | + | 6.30947i | −0.108690 | + | 0.266386i | ||||
\(562\) | 0.999739 | − | 1.73160i | 0.0421714 | − | 0.0730430i | ||||
\(563\) | 13.9208 | − | 15.4606i | 0.586692 | − | 0.651587i | −0.374578 | − | 0.927195i | \(-0.622213\pi\) |
0.961270 | + | 0.275608i | \(0.0888792\pi\) | |||||||
\(564\) | −4.31883 | + | 7.95944i | −0.181855 | + | 0.335153i | ||||
\(565\) | −62.7249 | + | 6.59266i | −2.63886 | + | 0.277355i | ||||
\(566\) | 12.9114 | − | 39.7373i | 0.542707 | − | 1.67028i | ||||
\(567\) | 7.37209 | − | 22.6418i | 0.309599 | − | 0.950867i | ||||
\(568\) | 11.5558 | − | 8.39577i | 0.484870 | − | 0.352279i | ||||
\(569\) | 10.0663 | + | 22.6093i | 0.422001 | + | 0.947830i | 0.992006 | + | 0.126189i | \(0.0402745\pi\) |
−0.570005 | + | 0.821641i | \(0.693059\pi\) | |||||||
\(570\) | −55.6956 | + | 26.5840i | −2.33283 | + | 1.11348i | ||||
\(571\) | 16.7298 | + | 28.9768i | 0.700118 | + | 1.21264i | 0.968425 | + | 0.249307i | \(0.0802028\pi\) |
−0.268306 | + | 0.963334i | \(0.586464\pi\) | |||||||
\(572\) | 36.0229 | + | 7.46772i | 1.50619 | + | 0.312241i | ||||
\(573\) | 1.41156 | − | 3.41042i | 0.0589688 | − | 0.142473i | ||||
\(574\) | 5.71096 | − | 6.32106i | 0.238371 | − | 0.263836i | ||||
\(575\) | −22.8080 | + | 31.3926i | −0.951161 | + | 1.30916i | ||||
\(576\) | 22.7239 | − | 28.0929i | 0.946831 | − | 1.17054i | ||||
\(577\) | −5.68823 | − | 26.7610i | −0.236804 | − | 1.11408i | −0.922443 | − | 0.386134i | \(-0.873810\pi\) |
0.685638 | − | 0.727942i | \(-0.259523\pi\) | |||||||
\(578\) | −6.98434 | − | 32.8588i | −0.290510 | − | 1.36674i | ||||
\(579\) | −9.61049 | + | 32.4768i | −0.399398 | + | 1.34969i | ||||
\(580\) | −15.3558 | + | 21.1354i | −0.637614 | + | 0.877600i | ||||
\(581\) | −2.27136 | + | 10.5974i | −0.0942317 | + | 0.439654i | ||||
\(582\) | −10.8081 | − | 4.47343i | −0.448011 | − | 0.185430i | ||||
\(583\) | 22.2795 | + | 24.4950i | 0.922721 | + | 1.01448i | ||||
\(584\) | −0.485248 | − | 0.840474i | −0.0200797 | − | 0.0347791i | ||||
\(585\) | 2.58439 | + | 48.8061i | 0.106851 | + | 2.01788i | ||||
\(586\) | 9.24888 | + | 20.7733i | 0.382068 | + | 0.858138i | ||||
\(587\) | 1.06384 | − | 0.772923i | 0.0439093 | − | 0.0319019i | −0.565614 | − | 0.824670i | \(-0.691361\pi\) |
0.609523 | + | 0.792768i | \(0.291361\pi\) | |||||||
\(588\) | −20.8743 | + | 24.2866i | −0.860840 | + | 1.00156i | ||||
\(589\) | 1.14327 | − | 3.51862i | 0.0471076 | − | 0.144982i | ||||
\(590\) | −85.6014 | + | 8.99706i | −3.52415 | + | 0.370403i | ||||
\(591\) | −11.6129 | − | 6.30120i | −0.477691 | − | 0.259197i | ||||
\(592\) | −7.53697 | + | 8.37066i | −0.309768 | + | 0.344032i | ||||
\(593\) | 19.7354 | − | 34.1828i | 0.810437 | − | 1.40372i | −0.102122 | − | 0.994772i | \(-0.532563\pi\) |
0.912559 | − | 0.408946i | \(-0.134103\pi\) | |||||||
\(594\) | −8.45620 | + | 36.1521i | −0.346962 | + | 1.48334i | ||||
\(595\) | 10.5340 | + | 6.10568i | 0.431852 | + | 0.250308i | ||||
\(596\) | 33.9898 | − | 11.0440i | 1.39228 | − | 0.452378i | ||||
\(597\) | −0.0691305 | − | 2.61288i | −0.00282932 | − | 0.106938i | ||||
\(598\) | −14.2081 | + | 31.9120i | −0.581014 | + | 1.30498i | ||||
\(599\) | −2.55083 | − | 12.0007i | −0.104224 | − | 0.490336i | −0.999036 | − | 0.0438932i | \(-0.986024\pi\) |
0.894812 | − | 0.446443i | \(-0.147309\pi\) | |||||||
\(600\) | 22.6694 | − | 8.03457i | 0.925473 | − | 0.328010i | ||||
\(601\) | −22.1270 | − | 30.4552i | −0.902580 | − | 1.24229i | −0.969638 | − | 0.244545i | \(-0.921361\pi\) |
0.0670584 | − | 0.997749i | \(-0.478639\pi\) | |||||||
\(602\) | −1.72640 | + | 16.1616i | −0.0703626 | + | 0.658699i | ||||
\(603\) | −18.7651 | + | 36.8780i | −0.764174 | + | 1.50179i | ||||
\(604\) | 30.6750 | − | 53.1307i | 1.24815 | − | 2.16186i | ||||
\(605\) | −21.7075 | − | 36.7399i | −0.882535 | − | 1.49369i | ||||
\(606\) | 43.5785 | − | 5.74925i | 1.77025 | − | 0.233547i | ||||
\(607\) | −7.60391 | + | 35.7736i | −0.308633 | + | 1.45201i | 0.501193 | + | 0.865336i | \(0.332895\pi\) |
−0.809826 | + | 0.586670i | \(0.800439\pi\) | |||||||
\(608\) | −26.6658 | − | 19.3738i | −1.08144 | − | 0.785712i | ||||
\(609\) | −11.3645 | + | 2.71124i | −0.460513 | + | 0.109865i | ||||
\(610\) | 4.74374 | − | 14.5997i | 0.192069 | − | 0.591126i | ||||
\(611\) | 6.17735 | − | 5.56211i | 0.249909 | − | 0.225019i | ||||
\(612\) | 3.37336 | + | 8.77367i | 0.136360 | + | 0.354655i | ||||
\(613\) | −1.62572 | + | 15.4677i | −0.0656621 | + | 0.624733i | 0.911362 | + | 0.411605i | \(0.135032\pi\) |
−0.977024 | + | 0.213128i | \(0.931635\pi\) | |||||||
\(614\) | 6.63808 | + | 1.41097i | 0.267891 | + | 0.0569420i | ||||
\(615\) | −9.27901 | − | 3.84054i | −0.374166 | − | 0.154866i | ||||
\(616\) | 7.09378 | − | 9.83249i | 0.285816 | − | 0.396162i | ||||
\(617\) | − | 25.7108i | − | 1.03508i | −0.855659 | − | 0.517539i | \(-0.826848\pi\) | ||
0.855659 | − | 0.517539i | \(-0.173152\pi\) | |||||||
\(618\) | 3.20646 | + | 2.20246i | 0.128983 | + | 0.0885958i | ||||
\(619\) | 20.7369 | + | 2.17954i | 0.833487 | + | 0.0876031i | 0.511652 | − | 0.859193i | \(-0.329034\pi\) |
0.321835 | + | 0.946796i | \(0.395700\pi\) | |||||||
\(620\) | −3.61685 | + | 8.12359i | −0.145256 | + | 0.326251i | ||||
\(621\) | −18.1153 | − | 8.62248i | −0.726944 | − | 0.346008i | ||||
\(622\) | 10.0754 | + | 3.27369i | 0.403987 | + | 0.131263i | ||||
\(623\) | −1.95123 | + | 4.36259i | −0.0781744 | + | 0.174784i | ||||
\(624\) | −14.2990 | + | 8.76778i | −0.572418 | + | 0.350992i | ||||
\(625\) | −25.1881 | − | 5.35390i | −1.00752 | − | 0.214156i | ||||
\(626\) | 3.75389 | + | 6.50192i | 0.150035 | + | 0.259869i | ||||
\(627\) | 24.1037 | + | 4.33532i | 0.962609 | + | 0.173136i | ||||
\(628\) | −40.9402 | − | 23.6368i | −1.63369 | − | 0.943213i | ||||
\(629\) | −1.79054 | − | 5.51072i | −0.0713936 | − | 0.219727i | ||||
\(630\) | 61.9039 | + | 23.8447i | 2.46631 | + | 0.949996i | ||||
\(631\) | 11.8909 | − | 8.63926i | 0.473370 | − | 0.343923i | −0.325383 | − | 0.945582i | \(-0.605493\pi\) |
0.798753 | + | 0.601659i | \(0.205493\pi\) | |||||||
\(632\) | 1.74041 | − | 1.56707i | 0.0692297 | − | 0.0623347i | ||||
\(633\) | 33.8114 | + | 6.25708i | 1.34388 | + | 0.248697i | ||||
\(634\) | −24.6362 | − | 10.9687i | −0.978428 | − | 0.435624i | ||||
\(635\) | −12.2925 | + | 5.47298i | −0.487814 | + | 0.217189i | ||||
\(636\) | 45.5342 | + | 3.57118i | 1.80555 | + | 0.141607i | ||||
\(637\) | 25.5077 | − | 14.6116i | 1.01065 | − | 0.578934i | ||||
\(638\) | 17.2970 | − | 5.71647i | 0.684794 | − | 0.226317i | ||||
\(639\) | −8.04314 | − | 29.9524i | −0.318182 | − | 1.18490i | ||||
\(640\) | 30.2287 | + | 27.2180i | 1.19489 | + | 1.07589i | ||||
\(641\) | 42.8966 | + | 4.50862i | 1.69431 | + | 0.178080i | 0.901912 | − | 0.431919i | \(-0.142163\pi\) |
0.792403 | + | 0.609999i | \(0.208830\pi\) | |||||||
\(642\) | −3.59345 | + | 12.1434i | −0.141822 | + | 0.479262i | ||||
\(643\) | −5.60959 | − | 1.82267i | −0.221221 | − | 0.0718789i | 0.196310 | − | 0.980542i | \(-0.437104\pi\) |
−0.417530 | + | 0.908663i | \(0.637104\pi\) | |||||||
\(644\) | 18.0207 | + | 20.0825i | 0.710117 | + | 0.791362i | ||||
\(645\) | 18.6298 | − | 4.47797i | 0.733548 | − | 0.176320i | ||||
\(646\) | 9.95327 | − | 4.43148i | 0.391606 | − | 0.174354i | ||||
\(647\) | 27.6470 | − | 30.7051i | 1.08692 | − | 1.20714i | 0.109907 | − | 0.993942i | \(-0.464945\pi\) |
0.977009 | − | 0.213200i | \(-0.0683886\pi\) | |||||||
\(648\) | 6.22932 | + | 10.7625i | 0.244711 | + | 0.422791i | ||||
\(649\) | 29.6660 | + | 16.9293i | 1.16449 | + | 0.664532i | ||||
\(650\) | −90.9237 | −3.56632 | ||||||||
\(651\) | −3.59186 | + | 1.70695i | −0.140776 | + | 0.0669005i | ||||
\(652\) | 16.0357 | + | 11.6506i | 0.628007 | + | 0.456274i | ||||
\(653\) | 30.6021 | − | 3.21641i | 1.19755 | − | 0.125868i | 0.515317 | − | 0.857000i | \(-0.327674\pi\) |
0.682236 | + | 0.731132i | \(0.261008\pi\) | |||||||
\(654\) | −1.68858 | + | 9.12457i | −0.0660286 | + | 0.356799i | ||||
\(655\) | 66.4017 | − | 14.1141i | 2.59453 | − | 0.551484i | ||||
\(656\) | −0.360249 | − | 3.42754i | −0.0140654 | − | 0.133823i | ||||
\(657\) | −2.08106 | + | 0.330766i | −0.0811899 | + | 0.0129044i | ||||
\(658\) | −3.46827 | − | 10.7362i | −0.135207 | − | 0.418541i | ||||
\(659\) | 45.0385i | 1.75445i | 0.480079 | + | 0.877225i | \(0.340608\pi\) | ||||
−0.480079 | + | 0.877225i | \(0.659392\pi\) | |||||||
\(660\) | −56.5276 | − | 16.4188i | −2.20034 | − | 0.639101i | ||||
\(661\) | −29.0545 | + | 16.7746i | −1.13009 | + | 0.652458i | −0.943958 | − | 0.330067i | \(-0.892929\pi\) |
−0.186133 | + | 0.982525i | \(0.559595\pi\) | |||||||
\(662\) | 13.7215 | + | 12.3549i | 0.533303 | + | 0.480188i | ||||
\(663\) | −0.228206 | − | 8.62535i | −0.00886277 | − | 0.334981i | ||||
\(664\) | −3.32686 | − | 4.57903i | −0.129107 | − | 0.177701i | ||||
\(665\) | 13.5925 | − | 41.5931i | 0.527096 | − | 1.61291i | ||||
\(666\) | −14.3476 | − | 28.1211i | −0.555960 | − | 1.08967i | ||||
\(667\) | 1.02897 | + | 9.79002i | 0.0398420 | + | 0.379071i | ||||
\(668\) | −3.13288 | + | 29.8074i | −0.121215 | + | 1.15328i | ||||
\(669\) | −0.982631 | − | 2.05869i | −0.0379907 | − | 0.0795936i | ||||
\(670\) | −99.8309 | − | 57.6374i | −3.85680 | − | 2.22673i | ||||
\(671\) | −4.91031 | + | 3.60542i | −0.189560 | + | 0.139186i | ||||
\(672\) | 4.57440 | + | 35.1330i | 0.176461 | + | 1.35529i | ||||
\(673\) | −8.80006 | − | 27.0838i | −0.339217 | − | 1.04400i | −0.964607 | − | 0.263691i | \(-0.915060\pi\) |
0.625390 | − | 0.780313i | \(-0.284940\pi\) | |||||||
\(674\) | −14.6547 | − | 32.9151i | −0.564479 | − | 1.26784i | ||||
\(675\) | 1.32447 | − | 52.2040i | 0.0509789 | − | 2.00933i | ||||
\(676\) | −11.9764 | + | 2.54567i | −0.460632 | + | 0.0979103i | ||||
\(677\) | 8.49702 | + | 9.43690i | 0.326567 | + | 0.362689i | 0.883963 | − | 0.467558i | \(-0.154866\pi\) |
−0.557396 | + | 0.830247i | \(0.688199\pi\) | |||||||
\(678\) | 58.9855 | − | 14.1781i | 2.26532 | − | 0.544506i | ||||
\(679\) | 7.58245 | − | 3.36052i | 0.290988 | − | 0.128965i | ||||
\(680\) | −6.04727 | + | 1.96488i | −0.231902 | + | 0.0753496i | ||||
\(681\) | 30.9691 | − | 23.7768i | 1.18674 | − | 0.911128i | ||||
\(682\) | 5.35435 | − | 3.12735i | 0.205029 | − | 0.119752i | ||||
\(683\) | −15.0330 | + | 8.67930i | −0.575221 | + | 0.332104i | −0.759232 | − | 0.650820i | \(-0.774425\pi\) |
0.184011 | + | 0.982924i | \(0.441092\pi\) | |||||||
\(684\) | 28.3220 | − | 18.4144i | 1.08292 | − | 0.704092i | ||||
\(685\) | −4.38782 | + | 6.03932i | −0.167650 | + | 0.230750i | ||||
\(686\) | −3.96854 | − | 39.7018i | −0.151519 | − | 1.51582i | ||||
\(687\) | −9.12978 | − | 7.79329i | −0.348323 | − | 0.297332i | ||||
\(688\) | 4.39994 | + | 4.88663i | 0.167746 | + | 0.186301i | ||||
\(689\) | −38.3008 | − | 17.0526i | −1.45914 | − | 0.649653i | ||||
\(690\) | 26.6565 | − | 49.1269i | 1.01479 | − | 1.87023i | ||||
\(691\) | 9.42877 | − | 44.3589i | 0.358687 | − | 1.68749i | −0.315496 | − | 0.948927i | \(-0.602171\pi\) |
0.674183 | − | 0.738564i | \(-0.264496\pi\) | |||||||
\(692\) | −31.9970 | −1.21634 | ||||||||
\(693\) | −14.4230 | − | 22.0222i | −0.547885 | − | 0.836554i | ||||
\(694\) | −42.6143 | −1.61762 | ||||||||
\(695\) | −7.68032 | + | 36.1330i | −0.291331 | + | 1.37060i | ||||
\(696\) | 2.90991 | − | 5.36287i | 0.110300 | − | 0.203279i | ||||
\(697\) | 1.61962 | + | 0.721103i | 0.0613477 | + | 0.0273137i | ||||
\(698\) | 22.4163 | + | 24.8958i | 0.848470 | + | 0.942321i | ||||
\(699\) | 0.784829 | + | 0.669939i | 0.0296850 | + | 0.0253394i | ||||
\(700\) | −28.6748 | + | 64.1116i | −1.08381 | + | 2.42319i | ||||
\(701\) | −18.8198 | + | 25.9032i | −0.710814 | + | 0.978351i | 0.288965 | + | 0.957340i | \(0.406689\pi\) |
−0.999779 | + | 0.0210117i | \(0.993311\pi\) | |||||||
\(702\) | −8.60468 | − | 46.2166i | −0.324763 | − | 1.74433i | ||||
\(703\) | −18.0343 | + | 10.4121i | −0.680176 | + | 0.392700i | ||||
\(704\) | −8.50176 | − | 39.0313i | −0.320422 | − | 1.47105i | ||||
\(705\) | −10.5496 | + | 8.09958i | −0.397323 | + | 0.305048i | ||||
\(706\) | −62.6438 | + | 20.3542i | −2.35763 | + | 0.766041i | ||||
\(707\) | −18.3619 | + | 25.1829i | −0.690569 | + | 0.947102i | ||||
\(708\) | 45.8107 | − | 11.0113i | 1.72167 | − | 0.413831i | ||||
\(709\) | 12.2688 | + | 13.6258i | 0.460763 | + | 0.511729i | 0.928090 | − | 0.372355i | \(-0.121450\pi\) |
−0.467327 | + | 0.884084i | \(0.654783\pi\) | |||||||
\(710\) | 84.5127 | − | 17.9637i | 3.17171 | − | 0.674167i | ||||
\(711\) | −1.82486 | − | 4.74621i | −0.0684375 | − | 0.177997i | ||||
\(712\) | −1.01513 | − | 2.28001i | −0.0380435 | − | 0.0854470i | ||||
\(713\) | 1.03542 | + | 3.18670i | 0.0387768 | + | 0.119343i | ||||
\(714\) | −10.8134 | − | 4.49715i | −0.404683 | − | 0.168302i | ||||
\(715\) | 43.8726 | + | 31.5394i | 1.64074 | + | 1.17951i | ||||
\(716\) | 30.0948 | + | 17.3753i | 1.12470 | + | 0.649344i | ||||
\(717\) | −1.53761 | − | 3.22141i | −0.0574230 | − | 0.120306i | ||||
\(718\) | 0.229444 | − | 2.18301i | 0.00856276 | − | 0.0814693i | ||||
\(719\) | 1.63891 | + | 15.5932i | 0.0611212 | + | 0.581529i | 0.981628 | + | 0.190803i | \(0.0611092\pi\) |
−0.920507 | + | 0.390726i | \(0.872224\pi\) | |||||||
\(720\) | 23.9060 | − | 12.1971i | 0.890923 | − | 0.454557i | ||||
\(721\) | −2.69885 | + | 0.568871i | −0.100510 | + | 0.0211859i | ||||
\(722\) | 1.04441 | + | 1.43751i | 0.0388689 | + | 0.0534985i | ||||
\(723\) | −0.824619 | − | 31.1676i | −0.0306679 | − | 1.15914i | ||||
\(724\) | −32.2833 | − | 29.0680i | −1.19980 | − | 1.08031i | ||||
\(725\) | −22.1898 | + | 12.8113i | −0.824108 | + | 0.475799i | ||||
\(726\) | 25.3226 | + | 32.3044i | 0.939808 | + | 1.19893i | ||||
\(727\) | − | 36.6587i | − | 1.35959i | −0.733400 | − | 0.679797i | \(-0.762068\pi\) | ||
0.733400 | − | 0.679797i | \(-0.237932\pi\) | |||||||
\(728\) | −3.21727 | + | 15.0108i | −0.119240 | + | 0.556336i | ||||
\(729\) | 26.6607 | − | 4.26716i | 0.987432 | − | 0.158043i | ||||
\(730\) | −0.613627 | − | 5.83827i | −0.0227113 | − | 0.216084i | ||||
\(731\) | −3.30869 | + | 0.703284i | −0.122376 | + | 0.0260119i | ||||
\(732\) | −1.52909 | + | 8.26273i | −0.0565167 | + | 0.305399i | ||||
\(733\) | 43.1145 | − | 4.53151i | 1.59247 | − | 0.167375i | 0.733604 | − | 0.679577i | \(-0.237837\pi\) |
0.858865 | + | 0.512202i | \(0.171170\pi\) | |||||||
\(734\) | −53.5440 | − | 38.9020i | −1.97634 | − | 1.43590i | ||||
\(735\) | −42.5165 | + | 20.1166i | −1.56825 | + | 0.742012i | ||||
\(736\) | 29.8514 | 1.10034 | ||||||||
\(737\) | 18.8161 | + | 41.6959i | 0.693098 | + | 1.53589i | ||||
\(738\) | 9.33169 | + | 2.49499i | 0.343504 | + | 0.0918418i | ||||
\(739\) | 10.7414 | − | 11.9296i | 0.395130 | − | 0.438837i | −0.512449 | − | 0.858718i | \(-0.671262\pi\) |
0.907579 | + | 0.419881i | \(0.137928\pi\) | |||||||
\(740\) | 45.7246 | − | 20.3579i | 1.68087 | − | 0.748371i | ||||
\(741\) | −30.1507 | + | 7.24721i | −1.10761 | + | 0.266233i | ||||
\(742\) | −42.3536 | + | 38.0054i | −1.55485 | + | 1.39522i | ||||
\(743\) | 43.4447 | + | 14.1160i | 1.59383 | + | 0.517867i | 0.965572 | − | 0.260138i | \(-0.0837680\pi\) |
0.628259 | + | 0.778005i | \(0.283768\pi\) | |||||||
\(744\) | 0.589309 | − | 1.99146i | 0.0216051 | − | 0.0730104i | ||||
\(745\) | 52.2033 | + | 5.48679i | 1.91258 | + | 0.201021i | ||||
\(746\) | 14.3023 | + | 12.8779i | 0.523646 | + | 0.471493i | ||||
\(747\) | −11.8688 | + | 3.18713i | −0.434255 | + | 0.116611i | ||||
\(748\) | 9.89932 | + | 3.16152i | 0.361955 | + | 0.115597i | ||||
\(749\) | −4.47637 | − | 7.78377i | −0.163563 | − | 0.284413i | ||||
\(750\) | 72.8785 | + | 5.71576i | 2.66115 | + | 0.208710i | ||||
\(751\) | −6.57439 | + | 2.92711i | −0.239903 | + | 0.106812i | −0.523167 | − | 0.852230i | \(-0.675249\pi\) |
0.283264 | + | 0.959042i | \(0.408583\pi\) | |||||||
\(752\) | −4.16987 | − | 1.85655i | −0.152059 | − | 0.0677012i | ||||
\(753\) | −43.6227 | − | 8.07273i | −1.58970 | − | 0.294187i | ||||
\(754\) | −17.1416 | + | 15.4343i | −0.624259 | + | 0.562086i | ||||
\(755\) | 72.8977 | − | 52.9633i | 2.65302 | − | 1.92753i | ||||
\(756\) | −35.3017 | − | 8.50815i | −1.28391 | − | 0.309439i | ||||
\(757\) | −5.09075 | − | 15.6677i | −0.185026 | − | 0.569452i | 0.814923 | − | 0.579570i | \(-0.196779\pi\) |
−0.999949 | + | 0.0101175i | \(0.996779\pi\) | |||||||
\(758\) | −43.2098 | − | 24.9472i | −1.56945 | − | 0.906123i | ||||
\(759\) | −19.9686 | + | 9.65480i | −0.724814 | + | 0.350447i | ||||
\(760\) | 11.4259 | + | 19.7902i | 0.414460 | + | 0.717865i | ||||
\(761\) | −21.3722 | − | 4.54280i | −0.774741 | − | 0.164676i | −0.196458 | − | 0.980512i | \(-0.562944\pi\) |
−0.578284 | + | 0.815836i | \(0.696277\pi\) | |||||||
\(762\) | 11.0337 | − | 6.76557i | 0.399708 | − | 0.245091i | ||||
\(763\) | −3.85828 | − | 5.32946i | −0.139679 | − | 0.192939i | ||||
\(764\) | −5.35322 | − | 1.73937i | −0.193673 | − | 0.0629280i | ||||
\(765\) | −0.715056 | + | 13.7873i | −0.0258529 | + | 0.498480i | ||||
\(766\) | 26.7335 | − | 60.0445i | 0.965921 | − | 2.16949i | ||||
\(767\) | −43.0117 | − | 4.52071i | −1.55306 | − | 0.163233i | ||||
\(768\) | 2.14073 | + | 1.47043i | 0.0772469 | + | 0.0530594i | ||||
\(769\) | 41.3140i | 1.48982i | 0.667164 | + | 0.744911i | \(0.267508\pi\) | ||||
−0.667164 | + | 0.744911i | \(0.732492\pi\) | |||||||
\(770\) | 63.3907 | − | 36.8809i | 2.28444 | − | 1.32909i | ||||
\(771\) | −39.3813 | − | 16.2998i | −1.41828 | − | 0.587021i | ||||
\(772\) | 50.5209 | + | 10.7385i | 1.81829 | + | 0.386488i | ||||
\(773\) | 4.96870 | − | 47.2740i | 0.178712 | − | 1.70033i | −0.426682 | − | 0.904402i | \(-0.640318\pi\) |
0.605394 | − | 0.795926i | \(-0.293016\pi\) | |||||||
\(774\) | −17.2021 | + | 6.61400i | −0.618318 | + | 0.237735i | ||||
\(775\) | −6.48128 | + | 5.83577i | −0.232815 | + | 0.209627i | ||||
\(776\) | −1.33844 | + | 4.11929i | −0.0480471 | + | 0.147874i | ||||
\(777\) | 21.4531 | + | 6.38800i | 0.769627 | + | 0.229168i | ||||
\(778\) | −6.88338 | − | 5.00107i | −0.246781 | − | 0.179297i | ||||
\(779\) | 1.32474 | − | 6.23239i | 0.0474636 | − | 0.223299i | ||||
\(780\) | 73.8923 | − | 9.74851i | 2.64577 | − | 0.349053i | ||||
\(781\) | −31.3922 | − | 13.7879i | −1.12330 | − | 0.493371i | ||||
\(782\) | −4.93371 | + | 8.54544i | −0.176429 | + | 0.305584i | ||||
\(783\) | −8.61195 | − | 10.0667i | −0.307766 | − | 0.359754i | ||||
\(784\) | −13.0268 | − | 9.53227i | −0.465244 | − | 0.340438i | ||||
\(785\) | −40.8113 | − | 56.1719i | −1.45662 | − | 2.00486i | ||||
\(786\) | −61.5454 | + | 21.8132i | −2.19525 | + | 0.778050i | ||||
\(787\) | −2.15942 | − | 10.1593i | −0.0769749 | − | 0.362138i | 0.922755 | − | 0.385388i | \(-0.125932\pi\) |
−0.999730 | + | 0.0232491i | \(0.992599\pi\) | |||||||
\(788\) | −8.19512 | + | 18.4065i | −0.291939 | + | 0.655706i | ||||
\(789\) | −0.669719 | − | 25.3130i | −0.0238426 | − | 0.901165i | ||||
\(790\) | 13.4729 | − | 4.37759i | 0.479343 | − | 0.155748i | ||||
\(791\) | −21.5701 | + | 37.2145i | −0.766945 | + | 1.32320i | ||||
\(792\) | 13.5902 | + | 2.07491i | 0.482907 | + | 0.0737289i | ||||
\(793\) | 3.85669 | − | 6.67998i | 0.136955 | − | 0.237213i | ||||
\(794\) | −19.1818 | + | 21.3035i | −0.680736 | + | 0.756034i | ||||
\(795\) | 58.9622 | + | 31.9931i | 2.09117 | + | 1.13468i | ||||
\(796\) | −3.96415 | + | 0.416649i | −0.140506 | + | 0.0147677i | ||||
\(797\) | 0.431756 | − | 1.32881i | 0.0152936 | − | 0.0470688i | −0.943118 | − | 0.332457i | \(-0.892122\pi\) |
0.958412 | + | 0.285388i | \(0.0921224\pi\) | |||||||
\(798\) | −7.72917 | + | 41.3735i | −0.273609 | + | 1.46461i | ||||
\(799\) | 1.89962 | − | 1.38015i | 0.0672036 | − | 0.0488263i | ||||
\(800\) | 31.6032 | + | 70.9819i | 1.11734 | + | 2.50959i | ||||
\(801\) | −5.41137 | + | 0.286544i | −0.191202 | + | 0.0101245i | ||||
\(802\) | 24.1426 | + | 41.8162i | 0.852505 | + | 1.47658i | ||||
\(803\) | −1.15463 | + | 2.02331i | −0.0407459 | + | 0.0714010i | ||||
\(804\) | 58.3036 | + | 24.1316i | 2.05621 | + | 0.851056i | ||||
\(805\) | 12.1823 | + | 37.7111i | 0.429371 | + | 1.32914i | ||||
\(806\) | −4.61488 | + | 6.35184i | −0.162552 | + | 0.223734i | ||||
\(807\) | −7.85395 | + | 26.5410i | −0.276472 | + | 0.934286i | ||||
\(808\) | −3.38398 | − | 15.9204i | −0.119048 | − | 0.560077i | ||||
\(809\) | 4.48108 | + | 21.0818i | 0.157546 | + | 0.741197i | 0.983997 | + | 0.178187i | \(0.0570233\pi\) |
−0.826450 | + | 0.563010i | \(0.809643\pi\) | |||||||
\(810\) | 7.94381 | + | 74.7990i | 0.279117 | + | 2.62817i | ||||
\(811\) | 8.75010 | − | 12.0435i | 0.307258 | − | 0.422904i | −0.627266 | − | 0.778805i | \(-0.715826\pi\) |
0.934524 | + | 0.355901i | \(0.115826\pi\) | |||||||
\(812\) | 5.47699 | + | 16.9543i | 0.192205 | + | 0.594980i | ||||
\(813\) | 3.27549 | − | 7.91382i | 0.114877 | − | 0.277550i | ||||
\(814\) | −34.1751 | − | 7.08467i | −1.19784 | − | 0.248317i | ||||
\(815\) | 14.5560 | + | 25.2118i | 0.509875 | + | 0.883130i | ||||
\(816\) | −4.27587 | + | 2.04091i | −0.149685 | + | 0.0714461i | ||||
\(817\) | 4.94460 | + | 11.1058i | 0.172990 | + | 0.388541i | ||||
\(818\) | −25.5006 | + | 18.5273i | −0.891608 | + | 0.647791i | ||||
\(819\) | 27.9338 | + | 18.1863i | 0.976085 | + | 0.635481i | ||||
\(820\) | −4.73243 | + | 14.5649i | −0.165264 | + | 0.508629i | ||||
\(821\) | −11.9587 | + | 1.25691i | −0.417363 | + | 0.0438666i | −0.310883 | − | 0.950448i | \(-0.600625\pi\) |
−0.106480 | + | 0.994315i | \(0.533958\pi\) | |||||||
\(822\) | 3.42446 | − | 6.31115i | 0.119442 | − | 0.220127i | ||||
\(823\) | 28.2784 | − | 31.4064i | 0.985724 | − | 1.09476i | −0.00977156 | − | 0.999952i | \(-0.503110\pi\) |
0.995496 | − | 0.0948054i | \(-0.0302229\pi\) | |||||||
\(824\) | 0.720197 | − | 1.24742i | 0.0250892 | − | 0.0434558i | ||||
\(825\) | −44.0981 | − | 37.2608i | −1.53530 | − | 1.29726i | ||||
\(826\) | −29.4370 | + | 50.7870i | −1.02424 | + | 1.76711i | ||||
\(827\) | 6.05566 | − | 1.96760i | 0.210576 | − | 0.0684203i | −0.201830 | − | 0.979421i | \(-0.564689\pi\) |
0.412405 | + | 0.911000i | \(0.364689\pi\) | |||||||
\(828\) | −10.9489 | + | 28.5691i | −0.380499 | + | 0.992844i | ||||
\(829\) | −15.8106 | + | 35.5112i | −0.549125 | + | 1.23335i | 0.399437 | + | 0.916761i | \(0.369206\pi\) |
−0.948561 | + | 0.316593i | \(0.897461\pi\) | |||||||
\(830\) | −7.11821 | − | 33.4886i | −0.247077 | − | 1.16240i | ||||
\(831\) | −17.6241 | − | 49.7261i | −0.611375 | − | 1.72498i | ||||
\(832\) | 29.7300 | + | 40.9198i | 1.03070 | + | 1.41864i | ||||
\(833\) | 7.59724 | − | 3.35165i | 0.263229 | − | 0.116128i | ||||
\(834\) | 2.77817 | − | 35.4229i | 0.0962002 | − | 1.22660i | ||||
\(835\) | −22.0101 | + | 38.1226i | −0.761690 | + | 1.31929i | ||||
\(836\) | 3.71701 | − | 37.1620i | 0.128555 | − | 1.28528i | ||||
\(837\) | −3.57969 | − | 2.74217i | −0.123732 | − | 0.0947832i | ||||
\(838\) | −6.89983 | + | 32.4612i | −0.238351 | + | 1.12135i | ||||
\(839\) | −30.2866 | − | 22.0045i | −1.04561 | − | 0.759679i | −0.0742357 | − | 0.997241i | \(-0.523652\pi\) |
−0.971372 | + | 0.237562i | \(0.923652\pi\) | |||||||
\(840\) | 7.00996 | − | 23.5419i | 0.241867 | − | 0.812273i | ||||
\(841\) | 6.95284 | − | 21.3986i | 0.239753 | − | 0.737884i | ||||
\(842\) | 9.77874 | − | 8.80482i | 0.336998 | − | 0.303434i | ||||
\(843\) | −1.16575 | + | 1.10686i | −0.0401506 | + | 0.0381222i | ||||
\(844\) | 5.48118 | − | 52.1500i | 0.188670 | − | 1.79508i | ||||
\(845\) | −17.5901 | − | 3.73890i | −0.605119 | − | 0.128622i | ||||
\(846\) | 9.04121 | − | 9.05104i | 0.310843 | − | 0.311181i | ||||
\(847\) | −28.9683 | − | 2.79998i | −0.995361 | − | 0.0962086i | ||||
\(848\) | 23.0219i | 0.790576i | ||||||||
\(849\) | −19.0190 | + | 27.6889i | −0.652729 | + | 0.950279i | ||||
\(850\) | −25.5430 | − | 2.68467i | −0.876117 | − | 0.0920836i | ||||
\(851\) | 7.67096 | − | 17.2293i | 0.262957 | − | 0.590611i | ||||
\(852\) | −44.5779 | + | 15.7995i | −1.52721 | + | 0.541281i | ||||
\(853\) | 25.5912 | + | 8.31510i | 0.876228 | + | 0.284704i | 0.712390 | − | 0.701784i | \(-0.247613\pi\) |
0.163838 | + | 0.986487i | \(0.447613\pi\) | |||||||
\(854\) | −6.13936 | − | 8.48034i | −0.210085 | − | 0.290191i | ||||
\(855\) | 49.0016 | − | 7.78837i | 1.67582 | − | 0.266356i | ||||
\(856\) | 4.58672 | + | 0.974938i | 0.156771 | + | 0.0333227i | ||||
\(857\) | 6.61329 | + | 11.4546i | 0.225906 | + | 0.391280i | 0.956591 | − | 0.291434i | \(-0.0941325\pi\) |
−0.730685 | + | 0.682715i | \(0.760799\pi\) | |||||||
\(858\) | −45.8051 | − | 24.5566i | −1.56376 | − | 0.838349i | ||||
\(859\) | 12.5963 | + | 7.27248i | 0.429780 | + | 0.248134i | 0.699253 | − | 0.714874i | \(-0.253516\pi\) |
−0.269473 | + | 0.963008i | \(0.586849\pi\) | |||||||
\(860\) | −9.02926 | − | 27.7892i | −0.307895 | − | 0.947604i | ||||
\(861\) | −5.84473 | + | 3.57020i | −0.199188 | + | 0.121672i | ||||
\(862\) | −20.4220 | + | 14.8374i | −0.695575 | + | 0.505365i | ||||
\(863\) | −41.3544 | + | 37.2357i | −1.40772 | + | 1.26752i | −0.489184 | + | 0.872181i | \(0.662705\pi\) |
−0.918537 | + | 0.395336i | \(0.870628\pi\) | |||||||
\(864\) | −33.0894 | + | 22.7814i | −1.12572 | + | 0.775039i | ||||
\(865\) | −42.9320 | − | 19.1146i | −1.45973 | − | 0.649915i | ||||
\(866\) | 32.7424 | − | 14.5778i | 1.11263 | − | 0.495375i | ||||
\(867\) | −2.11168 | + | 26.9249i | −0.0717164 | + | 0.914417i | ||||
\(868\) | 3.02337 | + | 5.25721i | 0.102620 | + | 0.178441i | ||||
\(869\) | −5.35514 | − | 1.71026i | −0.181661 | − | 0.0580166i | ||||
\(870\) | 29.2743 | − | 22.4756i | 0.992492 | − | 0.761994i | ||||
\(871\) | −43.0441 | − | 38.7570i | −1.45849 | − | 1.31323i | ||||
\(872\) | 3.41719 | + | 0.359161i | 0.115721 | + | 0.0121627i | ||||
\(873\) | 7.31169 | + | 5.91432i | 0.247463 | + | 0.200169i | ||||
\(874\) | 33.7269 | + | 10.9585i | 1.14083 | + | 0.370678i | ||||
\(875\) | −38.5775 | + | 34.6169i | −1.30416 | + | 1.17027i | ||||
\(876\) | 0.751005 | + | 3.12442i | 0.0253741 | + | 0.105564i | ||||
\(877\) | 36.7436 | − | 16.3593i | 1.24074 | − | 0.552415i | 0.321802 | − | 0.946807i | \(-0.395712\pi\) |
0.918942 | + | 0.394392i | \(0.129045\pi\) | |||||||
\(878\) | −57.8276 | + | 64.2241i | −1.95159 | + | 2.16746i | ||||
\(879\) | −2.39115 | − | 18.1246i | −0.0806515 | − | 0.611327i | ||||
\(880\) | 6.02274 | − | 29.0525i | 0.203026 | − | 0.979360i | ||||
\(881\) | −11.0387 | −0.371902 | −0.185951 | − | 0.982559i | \(-0.559537\pi\) | ||||
−0.185951 | + | 0.982559i | \(0.559537\pi\) | |||||||
\(882\) | 38.0132 | − | 24.5322i | 1.27997 | − | 0.826043i | ||||
\(883\) | 23.1713 | + | 16.8350i | 0.779778 | + | 0.566542i | 0.904912 | − | 0.425598i | \(-0.139936\pi\) |
−0.125135 | + | 0.992140i | \(0.539936\pi\) | |||||||
\(884\) | −13.0860 | + | 1.37540i | −0.440130 | + | 0.0462595i | ||||
\(885\) | 68.0445 | + | 12.5922i | 2.28729 | + | 0.423282i | ||||
\(886\) | −28.3426 | + | 6.02441i | −0.952189 | + | 0.202394i | ||||
\(887\) | −5.04413 | − | 47.9917i | −0.169365 | − | 1.61140i | −0.667708 | − | 0.744423i | \(-0.732725\pi\) |
0.498343 | − | 0.866980i | \(-0.333942\pi\) | |||||||
\(888\) | −9.96540 | + | 6.11053i | −0.334417 | + | 0.205056i | ||||
\(889\) | −1.92321 | + | 8.97306i | −0.0645023 | + | 0.300947i | ||||
\(890\) | − | 15.0967i | − | 0.506044i | ||||||
\(891\) | 14.7664 | − | 25.9413i | 0.494695 | − | 0.869067i | ||||
\(892\) | −3.01269 | + | 1.73938i | −0.100872 | + | 0.0582386i | ||||
\(893\) | −6.27116 | − | 5.64658i | −0.209856 | − | 0.188956i | ||||
\(894\) | −50.4717 | + | 1.33536i | −1.68803 | + | 0.0446610i | ||||
\(895\) | 30.0000 | + | 41.2915i | 1.00279 | + | 1.38022i | ||||
\(896\) | 27.1449 | − | 5.72169i | 0.906847 | − | 0.191148i | ||||
\(897\) | 18.2335 | − | 21.3604i | 0.608797 | − | 0.713202i | ||||
\(898\) | −1.43132 | − | 13.6181i | −0.0477636 | − | 0.454441i | ||||
\(899\) | −0.231272 | + | 2.20040i | −0.00771334 | + | 0.0733875i | ||||
\(900\) | −79.5242 | + | 4.21098i | −2.65081 | + | 0.140366i | ||||
\(901\) | −10.2562 | − | 5.92145i | −0.341685 | − | 0.197272i | ||||
\(902\) | 8.60777 | − | 6.32030i | 0.286607 | − | 0.210443i | ||||
\(903\) | 5.01787 | − | 12.0655i | 0.166984 | − | 0.401515i | ||||
\(904\) | −6.94151 | − | 21.3638i | −0.230871 | − | 0.710549i | ||||
\(905\) | −25.9514 | − | 58.2877i | −0.862652 | − | 1.93755i | ||||
\(906\) | −62.8525 | + | 59.6772i | −2.08813 | + | 1.98264i | ||||
\(907\) | 38.0360 | − | 8.08480i | 1.26296 | − | 0.268451i | 0.472703 | − | 0.881222i | \(-0.343278\pi\) |
0.790261 | + | 0.612771i | \(0.209945\pi\) | |||||||
\(908\) | −39.8407 | − | 44.2476i | −1.32216 | − | 1.46841i | ||||
\(909\) | −34.9072 | − | 5.50933i | −1.15780 | − | 0.182733i | ||||
\(910\) | −54.7095 | + | 75.0331i | −1.81360 | + | 2.48732i | ||||
\(911\) | 33.3526 | − | 10.8369i | 1.10502 | − | 0.359043i | 0.300987 | − | 0.953628i | \(-0.402684\pi\) |
0.804032 | + | 0.594585i | \(0.202684\pi\) | |||||||
\(912\) | 10.3695 | + | 13.5062i | 0.343369 | + | 0.447236i | ||||
\(913\) | −5.46353 | + | 12.4393i | −0.180817 | + | 0.411681i | ||||
\(914\) | 77.6268 | − | 44.8179i | 2.56767 | − | 1.48244i | ||||
\(915\) | −6.98770 | + | 10.1731i | −0.231006 | + | 0.336311i | ||||
\(916\) | −10.7596 | + | 14.8094i | −0.355508 | + | 0.489315i | ||||
\(917\) | 18.9026 | − | 42.2628i | 0.624220 | − | 1.39564i | ||||
\(918\) | −1.05267 | − | 13.2376i | −0.0347432 | − | 0.436906i | ||||
\(919\) | −37.5519 | − | 41.7056i | −1.23872 | − | 1.37574i | −0.900605 | − | 0.434638i | \(-0.856876\pi\) |
−0.338119 | − | 0.941104i | \(-0.609790\pi\) | |||||||
\(920\) | −18.9068 | − | 8.41784i | −0.623338 | − | 0.277528i | ||||
\(921\) | −4.79556 | − | 2.60209i | −0.158019 | − | 0.0857418i | ||||
\(922\) | 4.63658 | − | 21.8134i | 0.152698 | − | 0.718386i | ||||
\(923\) | 43.4134 | 1.42897 | ||||||||
\(924\) | −31.7608 | + | 24.5533i | −1.04486 | + | 0.807745i | ||||
\(925\) | 49.0896 | 1.61406 | ||||||||
\(926\) | −7.12580 | + | 33.5243i | −0.234168 | + | 1.10168i | ||||
\(927\) | −1.96949 | − | 2.42941i | −0.0646864 | − | 0.0797924i | ||||
\(928\) | 18.0073 | + | 8.01735i | 0.591118 | + | 0.263183i | ||||
\(929\) | 36.9541 | + | 41.0417i | 1.21243 | + | 1.34653i | 0.920816 | + | 0.389997i | \(0.127524\pi\) |
0.291609 | + | 0.956538i | \(0.405809\pi\) | |||||||
\(930\) | 8.15608 | − | 9.55480i | 0.267449 | − | 0.313314i | ||||
\(931\) | −17.4590 | − | 24.2027i | −0.572197 | − | 0.793210i | ||||
\(932\) | 0.924937 | − | 1.27307i | 0.0302973 | − | 0.0417007i | ||||
\(933\) | −7.02052 | − | 4.82226i | −0.229842 | − | 0.157874i | ||||
\(934\) | −27.7726 | + | 16.0345i | −0.908747 | + | 0.524665i | ||||
\(935\) | 11.3938 | + | 10.1557i | 0.372616 | + | 0.332127i | ||||
\(936\) | −16.8116 | + | 4.51443i | −0.549503 | + | 0.147559i | ||||
\(937\) | −10.8775 | + | 3.53430i | −0.355351 | + | 0.115461i | −0.481252 | − | 0.876582i | \(-0.659818\pi\) |
0.125901 | + | 0.992043i | \(0.459818\pi\) | |||||||
\(938\) | −71.8744 | + | 31.8545i | −2.34678 | + | 1.04009i | ||||
\(939\) | −1.41067 | − | 5.86885i | −0.0460355 | − | 0.191523i | ||||
\(940\) | 13.5718 | + | 15.0730i | 0.442663 | + | 0.491627i | ||||
\(941\) | −8.20489 | + | 1.74400i | −0.267472 | + | 0.0568529i | −0.339695 | − | 0.940536i | \(-0.610324\pi\) |
0.0722233 | + | 0.997388i | \(0.476991\pi\) | |||||||
\(942\) | 45.9847 | + | 48.4315i | 1.49826 | + | 1.57798i | ||||
\(943\) | 2.34710 | + | 5.27167i | 0.0764321 | + | 0.171669i | ||||
\(944\) | 7.33868 | + | 22.5861i | 0.238854 | + | 0.735116i | ||||
\(945\) | −42.2834 | − | 32.5045i | −1.37548 | − | 1.05737i | ||||
\(946\) | −6.19866 | + | 19.4091i | −0.201536 | + | 0.631046i | ||||
\(947\) | −10.8374 | − | 6.25695i | −0.352167 | − | 0.203323i | 0.313473 | − | 0.949597i | \(-0.398508\pi\) |
−0.665639 | + | 0.746274i | \(0.731841\pi\) | |||||||
\(948\) | −6.99813 | + | 3.34027i | −0.227289 | + | 0.108487i | ||||
\(949\) | 0.308326 | − | 2.93352i | 0.0100087 | − | 0.0952262i | ||||
\(950\) | 9.64845 | + | 91.7989i | 0.313037 | + | 2.97835i | ||||
\(951\) | 16.4903 | + | 14.0763i | 0.534735 | + | 0.456455i | ||||
\(952\) | −1.34704 | + | 4.12194i | −0.0436578 | + | 0.133593i | ||||
\(953\) | 29.2799 | + | 40.3003i | 0.948467 | + | 1.30545i | 0.952205 | + | 0.305460i | \(0.0988104\pi\) |
−0.00373736 | + | 0.999993i | \(0.501190\pi\) | |||||||
\(954\) | −60.2517 | − | 23.0909i | −1.95072 | − | 0.747596i | ||||
\(955\) | −6.14361 | − | 5.53173i | −0.198803 | − | 0.179003i | ||||
\(956\) | −4.71421 | + | 2.72175i | −0.152468 | + | 0.0880276i | ||||
\(957\) | −14.6387 | + | 0.460996i | −0.473203 | + | 0.0149019i | ||||
\(958\) | − | 60.4058i | − | 1.95162i | ||||||
\(959\) | 1.56502 | + | 4.84460i | 0.0505371 | + | 0.156440i | ||||
\(960\) | −42.3045 | − | 68.9926i | −1.36537 | − | 2.22673i | ||||
\(961\) | −3.16166 | − | 30.0812i | −0.101989 | − | 0.970361i | ||||
\(962\) | 43.2264 | − | 9.18804i | 1.39367 | − | 0.296234i | ||||
\(963\) | 5.54055 | − | 8.54184i | 0.178542 | − | 0.275257i | ||||
\(964\) | −47.2862 | + | 4.96998i | −1.52299 | + | 0.160072i | ||||
\(965\) | 61.3714 | + | 44.5889i | 1.97561 | + | 1.43537i | ||||
\(966\) | −16.3615 | − | 34.4289i | −0.526423 | − | 1.10773i | ||||
\(967\) | 33.7112 | 1.08408 | 0.542040 | − | 0.840353i | \(-0.317652\pi\) | ||||
0.542040 | + | 0.840353i | \(0.317652\pi\) | |||||||
\(968\) | 11.1919 | − | 10.2830i | 0.359722 | − | 0.330508i | ||||
\(969\) | −8.68416 | + | 1.14569i | −0.278975 | + | 0.0368048i | ||||
\(970\) | −17.5308 | + | 19.4700i | −0.562881 | + | 0.625143i | ||||
\(971\) | −9.08433 | + | 4.04461i | −0.291530 | + | 0.129798i | −0.547291 | − | 0.836943i | \(-0.684341\pi\) |
0.255761 | + | 0.966740i | \(0.417674\pi\) | |||||||
\(972\) | −9.66632 | − | 40.0237i | −0.310047 | − | 1.28376i | ||||
\(973\) | 16.8257 | + | 18.7507i | 0.539407 | + | 0.601121i | ||||
\(974\) | 12.8018 | + | 4.15956i | 0.410196 | + | 0.133281i | ||||
\(975\) | 70.0951 | + | 20.7424i | 2.24484 | + | 0.664289i | ||||
\(976\) | −4.21233 | − | 0.442734i | −0.134833 | − | 0.0141716i | ||||
\(977\) | 23.5233 | + | 21.1805i | 0.752577 | + | 0.677623i | 0.953300 | − | 0.302025i | \(-0.0976625\pi\) |
−0.200723 | + | 0.979648i | \(0.564329\pi\) | |||||||
\(978\) | −17.0525 | − | 22.2108i | −0.545280 | − | 0.710224i | ||||
\(979\) | −3.49693 | + | 4.86438i | −0.111762 | + | 0.155466i | ||||
\(980\) | 35.6530 | + | 62.2398i | 1.13889 | + | 1.98818i | ||||
\(981\) | 3.38335 | − | 6.64912i | 0.108022 | − | 0.212290i | ||||
\(982\) | 52.0384 | − | 23.1690i | 1.66061 | − | 0.739353i | ||||
\(983\) | −21.4526 | − | 9.55131i | −0.684231 | − | 0.304639i | 0.0350228 | − | 0.999387i | \(-0.488850\pi\) |
−0.719254 | + | 0.694747i | \(0.755516\pi\) | |||||||
\(984\) | 0.650848 | − | 3.51699i | 0.0207483 | − | 0.112118i | ||||
\(985\) | −21.9916 | + | 19.8013i | −0.700711 | + | 0.630923i | ||||
\(986\) | −5.27126 | + | 3.82980i | −0.167871 | + | 0.121966i | ||||
\(987\) | 0.224515 | + | 9.06799i | 0.00714640 | + | 0.288637i | ||||
\(988\) | 14.6131 | + | 44.9744i | 0.464904 | + | 1.43083i | ||||
\(989\) | −9.53491 | − | 5.50498i | −0.303193 | − | 0.175048i | ||||
\(990\) | 69.9938 | + | 44.9020i | 2.22455 | + | 1.42708i | ||||
\(991\) | 2.58022 | + | 4.46908i | 0.0819635 | + | 0.141965i | 0.904093 | − | 0.427335i | \(-0.140548\pi\) |
−0.822130 | + | 0.569300i | \(0.807214\pi\) | |||||||
\(992\) | 6.56277 | + | 1.39496i | 0.208368 | + | 0.0442900i | ||||
\(993\) | −7.75971 | − | 12.6550i | −0.246247 | − | 0.401594i | ||||
\(994\) | 24.0583 | − | 53.7900i | 0.763084 | − | 1.70611i | ||||
\(995\) | −5.56781 | − | 1.80909i | −0.176511 | − | 0.0573520i | ||||
\(996\) | 6.26061 | + | 17.6642i | 0.198375 | + | 0.559711i | ||||
\(997\) | −11.4986 | + | 25.8264i | −0.364165 | + | 0.817929i | 0.634810 | + | 0.772668i | \(0.281078\pi\) |
−0.998975 | + | 0.0452604i | \(0.985588\pi\) | |||||||
\(998\) | 33.9382 | + | 3.56705i | 1.07429 | + | 0.112913i | ||||
\(999\) | 4.64566 | + | 24.9523i | 0.146982 | + | 0.789456i |
(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 | 231.2.bc.a.5.5 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.bc.a.5.24 | yes | 224 | |
7.3 | odd | 6 | inner | 231.2.bc.a.38.5 | yes | 224 | |
11.9 | even | 5 | inner | 231.2.bc.a.152.24 | yes | 224 | |
21.17 | even | 6 | inner | 231.2.bc.a.38.24 | yes | 224 | |
33.20 | odd | 10 | inner | 231.2.bc.a.152.5 | yes | 224 | |
77.31 | odd | 30 | inner | 231.2.bc.a.185.24 | yes | 224 | |
231.185 | even | 30 | inner | 231.2.bc.a.185.5 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.bc.a.5.5 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.bc.a.5.24 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.bc.a.38.5 | yes | 224 | 7.3 | odd | 6 | inner | |
231.2.bc.a.38.24 | yes | 224 | 21.17 | even | 6 | inner | |
231.2.bc.a.152.5 | yes | 224 | 33.20 | odd | 10 | inner | |
231.2.bc.a.152.24 | yes | 224 | 11.9 | even | 5 | inner | |
231.2.bc.a.185.5 | yes | 224 | 231.185 | even | 30 | inner | |
231.2.bc.a.185.24 | yes | 224 | 77.31 | odd | 30 | inner |