Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(21,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.be (of order \(20\), 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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 181.43 | ||
Character | \(\chi\) | \(=\) | 400.181 |
Dual form | 400.2.be.a.221.43 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.925705 | − | 1.06914i | 0.654572 | − | 0.755999i | ||||
\(3\) | 0.157387 | − | 0.993702i | 0.0908674 | − | 0.573714i | −0.899681 | − | 0.436548i | \(-0.856201\pi\) |
0.990548 | − | 0.137166i | \(-0.0437992\pi\) | |||||||
\(4\) | −0.286140 | − | 1.97943i | −0.143070 | − | 0.989713i | ||||
\(5\) | −0.389615 | − | 2.20186i | −0.174241 | − | 0.984703i | ||||
\(6\) | −0.916717 | − | 1.08814i | −0.374248 | − | 0.444233i | ||||
\(7\) | 0.222360i | 0.0840443i | 0.999117 | + | 0.0420222i | \(0.0133800\pi\) | ||||
−0.999117 | + | 0.0420222i | \(0.986620\pi\) | |||||||
\(8\) | −2.38117 | − | 1.52644i | −0.841872 | − | 0.539678i | ||||
\(9\) | 1.89050 | + | 0.614260i | 0.630166 | + | 0.204753i | ||||
\(10\) | −2.71478 | − | 1.62172i | −0.858488 | − | 0.512833i | ||||
\(11\) | 0.721291 | − | 1.41561i | 0.217477 | − | 0.426823i | −0.756332 | − | 0.654187i | \(-0.773011\pi\) |
0.973810 | + | 0.227364i | \(0.0730108\pi\) | |||||||
\(12\) | −2.01199 | − | 0.0271979i | −0.580812 | − | 0.00785135i | ||||
\(13\) | 1.79231 | + | 3.51760i | 0.497097 | + | 0.975607i | 0.994162 | + | 0.107894i | \(0.0344108\pi\) |
−0.497066 | + | 0.867713i | \(0.665589\pi\) | |||||||
\(14\) | 0.237735 | + | 0.205840i | 0.0635375 | + | 0.0550131i | ||||
\(15\) | −2.24932 | + | 0.0406171i | −0.580771 | + | 0.0104873i | ||||
\(16\) | −3.83625 | + | 1.13278i | −0.959062 | + | 0.283196i | ||||
\(17\) | −1.68389 | − | 1.22342i | −0.408405 | − | 0.296723i | 0.364551 | − | 0.931183i | \(-0.381222\pi\) |
−0.772956 | + | 0.634460i | \(0.781222\pi\) | |||||||
\(18\) | 2.40678 | − | 1.45259i | 0.567282 | − | 0.342379i | ||||
\(19\) | −7.18210 | + | 1.13753i | −1.64769 | + | 0.260968i | −0.910131 | − | 0.414320i | \(-0.864019\pi\) |
−0.737554 | + | 0.675288i | \(0.764019\pi\) | |||||||
\(20\) | −4.24694 | + | 1.40126i | −0.949644 | + | 0.313330i | ||||
\(21\) | 0.220960 | + | 0.0349966i | 0.0482174 | + | 0.00763689i | ||||
\(22\) | −0.845792 | − | 2.08160i | −0.180323 | − | 0.443799i | ||||
\(23\) | 4.29425 | − | 1.39529i | 0.895414 | − | 0.290938i | 0.175071 | − | 0.984556i | \(-0.443985\pi\) |
0.720343 | + | 0.693618i | \(0.243985\pi\) | |||||||
\(24\) | −1.89159 | + | 2.12593i | −0.386119 | + | 0.433954i | ||||
\(25\) | −4.69640 | + | 1.71576i | −0.939280 | + | 0.343152i | ||||
\(26\) | 5.41997 | + | 1.34003i | 1.06294 | + | 0.262801i | ||||
\(27\) | 2.27819 | − | 4.47121i | 0.438439 | − | 0.860484i | ||||
\(28\) | 0.440146 | − | 0.0636262i | 0.0831797 | − | 0.0120242i | ||||
\(29\) | 0.298893 | − | 1.88714i | 0.0555031 | − | 0.350433i | −0.944271 | − | 0.329170i | \(-0.893231\pi\) |
0.999774 | − | 0.0212631i | \(-0.00676878\pi\) | |||||||
\(30\) | −2.03878 | + | 2.44244i | −0.372228 | + | 0.445927i | ||||
\(31\) | 7.10795 | + | 5.16423i | 1.27663 | + | 0.927523i | 0.999446 | − | 0.0332944i | \(-0.0105999\pi\) |
0.277181 | + | 0.960818i | \(0.410600\pi\) | |||||||
\(32\) | −2.34012 | + | 5.15013i | −0.413679 | + | 0.910423i | ||||
\(33\) | −1.29317 | − | 0.939547i | −0.225113 | − | 0.163554i | ||||
\(34\) | −2.86680 | + | 0.667800i | −0.491653 | + | 0.114527i | ||||
\(35\) | 0.489607 | − | 0.0866350i | 0.0827587 | − | 0.0146440i | ||||
\(36\) | 0.674935 | − | 3.91786i | 0.112489 | − | 0.652977i | ||||
\(37\) | 6.20441 | − | 3.16130i | 1.02000 | − | 0.519715i | 0.137734 | − | 0.990469i | \(-0.456018\pi\) |
0.882265 | + | 0.470754i | \(0.156018\pi\) | |||||||
\(38\) | −5.43232 | + | 8.73172i | −0.881238 | + | 1.41647i | ||||
\(39\) | 3.77753 | − | 1.22739i | 0.604889 | − | 0.196540i | ||||
\(40\) | −2.43327 | + | 5.83774i | −0.384734 | + | 0.923028i | ||||
\(41\) | 9.90557 | + | 3.21851i | 1.54699 | + | 0.502648i | 0.953295 | − | 0.302042i | \(-0.0976683\pi\) |
0.593696 | + | 0.804690i | \(0.297668\pi\) | |||||||
\(42\) | 0.241960 | − | 0.203842i | 0.0373353 | − | 0.0314534i | ||||
\(43\) | −8.51645 | − | 8.51645i | −1.29875 | − | 1.29875i | −0.929220 | − | 0.369526i | \(-0.879520\pi\) |
−0.369526 | − | 0.929220i | \(-0.620480\pi\) | |||||||
\(44\) | −3.00849 | − | 1.02268i | −0.453547 | − | 0.154174i | ||||
\(45\) | 0.615949 | − | 4.40194i | 0.0918202 | − | 0.656203i | ||||
\(46\) | 2.48345 | − | 5.88280i | 0.366165 | − | 0.867372i | ||||
\(47\) | −3.95824 | + | 2.87583i | −0.577369 | + | 0.419483i | −0.837774 | − | 0.546016i | \(-0.816144\pi\) |
0.260406 | + | 0.965499i | \(0.416144\pi\) | |||||||
\(48\) | 0.521875 | + | 3.99037i | 0.0753262 | + | 0.575961i | ||||
\(49\) | 6.95056 | 0.992937 | ||||||||
\(50\) | −2.51309 | + | 6.60942i | −0.355404 | + | 0.934713i | ||||
\(51\) | −1.48074 | + | 1.48074i | −0.207345 | + | 0.207345i | ||||
\(52\) | 6.44998 | − | 4.55426i | 0.894451 | − | 0.631563i | ||||
\(53\) | 1.59229 | + | 0.252194i | 0.218718 | + | 0.0346416i | 0.264832 | − | 0.964295i | \(-0.414684\pi\) |
−0.0461135 | + | 0.998936i | \(0.514684\pi\) | |||||||
\(54\) | −2.67143 | − | 6.57474i | −0.363536 | − | 0.894709i | ||||
\(55\) | −3.39801 | − | 1.03664i | −0.458188 | − | 0.139780i | ||||
\(56\) | 0.339420 | − | 0.529479i | 0.0453569 | − | 0.0707545i | ||||
\(57\) | 7.31589i | 0.969014i | ||||||||
\(58\) | −1.74094 | − | 2.06649i | −0.228596 | − | 0.271344i | ||||
\(59\) | 2.98963 | − | 1.52329i | 0.389217 | − | 0.198316i | −0.248421 | − | 0.968652i | \(-0.579912\pi\) |
0.637638 | + | 0.770336i | \(0.279912\pi\) | |||||||
\(60\) | 0.724017 | + | 4.44073i | 0.0934702 | + | 0.573296i | ||||
\(61\) | 8.16099 | + | 4.15823i | 1.04491 | + | 0.532407i | 0.890208 | − | 0.455554i | \(-0.150559\pi\) |
0.154700 | + | 0.987962i | \(0.450559\pi\) | |||||||
\(62\) | 12.1012 | − | 2.81887i | 1.53685 | − | 0.357997i | ||||
\(63\) | −0.136587 | + | 0.420372i | −0.0172083 | + | 0.0529619i | ||||
\(64\) | 3.33997 | + | 7.26943i | 0.417496 | + | 0.908679i | ||||
\(65\) | 7.04696 | − | 5.31693i | 0.874068 | − | 0.659484i | ||||
\(66\) | −2.20161 | + | 0.512848i | −0.270999 | + | 0.0631272i | ||||
\(67\) | −6.76888 | + | 1.07209i | −0.826950 | + | 0.130976i | −0.555542 | − | 0.831488i | \(-0.687489\pi\) |
−0.271408 | + | 0.962464i | \(0.587489\pi\) | |||||||
\(68\) | −1.93984 | + | 3.68321i | −0.235240 | + | 0.446655i | ||||
\(69\) | −0.710640 | − | 4.48681i | −0.0855511 | − | 0.540148i | ||||
\(70\) | 0.360606 | − | 0.603659i | 0.0431007 | − | 0.0721511i | ||||
\(71\) | −1.31537 | − | 1.81045i | −0.156105 | − | 0.214861i | 0.723800 | − | 0.690010i | \(-0.242394\pi\) |
−0.879905 | + | 0.475150i | \(0.842394\pi\) | |||||||
\(72\) | −3.56397 | − | 4.34839i | −0.420018 | − | 0.512462i | ||||
\(73\) | −5.28016 | + | 1.71563i | −0.617996 | + | 0.200799i | −0.601250 | − | 0.799061i | \(-0.705330\pi\) |
−0.0167455 | + | 0.999860i | \(0.505330\pi\) | |||||||
\(74\) | 2.36356 | − | 9.55985i | 0.274759 | − | 1.11131i | ||||
\(75\) | 0.965801 | + | 4.93686i | 0.111521 | + | 0.570059i | ||||
\(76\) | 4.30674 | + | 13.8909i | 0.494017 | + | 1.59340i | ||||
\(77\) | 0.314776 | + | 0.160386i | 0.0358721 | + | 0.0182777i | ||||
\(78\) | 2.18462 | − | 5.17493i | 0.247359 | − | 0.585946i | ||||
\(79\) | −6.95537 | + | 5.05337i | −0.782540 | + | 0.568549i | −0.905740 | − | 0.423833i | \(-0.860684\pi\) |
0.123200 | + | 0.992382i | \(0.460684\pi\) | |||||||
\(80\) | 3.98890 | + | 8.00554i | 0.445972 | + | 0.895047i | ||||
\(81\) | 0.739970 | + | 0.537620i | 0.0822189 | + | 0.0597355i | ||||
\(82\) | 12.6107 | − | 7.61109i | 1.39262 | − | 0.840504i | ||||
\(83\) | 9.17519 | − | 1.45321i | 1.00711 | − | 0.159510i | 0.368977 | − | 0.929438i | \(-0.379708\pi\) |
0.638130 | + | 0.769928i | \(0.279708\pi\) | |||||||
\(84\) | 0.00604773 | − | 0.447388i | 0.000659862 | − | 0.0488140i | ||||
\(85\) | −2.03773 | + | 4.18437i | −0.221023 | + | 0.453859i | ||||
\(86\) | −16.9890 | + | 1.22159i | −1.83197 | + | 0.131728i | ||||
\(87\) | −1.82821 | − | 0.594022i | −0.196005 | − | 0.0636858i | ||||
\(88\) | −3.87836 | + | 2.26981i | −0.413435 | + | 0.241963i | ||||
\(89\) | −13.0965 | + | 4.25531i | −1.38823 | + | 0.451062i | −0.905365 | − | 0.424635i | \(-0.860402\pi\) |
−0.482861 | + | 0.875697i | \(0.660402\pi\) | |||||||
\(90\) | −4.13612 | − | 4.73344i | −0.435986 | − | 0.498948i | ||||
\(91\) | −0.782175 | + | 0.398538i | −0.0819942 | + | 0.0417782i | ||||
\(92\) | −3.99062 | − | 8.10091i | −0.416051 | − | 0.844578i | ||||
\(93\) | 6.25040 | − | 6.25040i | 0.648137 | − | 0.648137i | ||||
\(94\) | −0.589486 | + | 6.89410i | −0.0608008 | + | 0.711072i | ||||
\(95\) | 5.30294 | + | 15.3708i | 0.544071 | + | 1.57701i | ||||
\(96\) | 4.74939 | + | 3.13595i | 0.484732 | + | 0.320061i | ||||
\(97\) | 6.25920 | − | 4.54757i | 0.635525 | − | 0.461736i | −0.222785 | − | 0.974868i | \(-0.571515\pi\) |
0.858310 | + | 0.513131i | \(0.171515\pi\) | |||||||
\(98\) | 6.43417 | − | 7.43115i | 0.649949 | − | 0.750659i | ||||
\(99\) | 2.23315 | − | 2.23315i | 0.224440 | − | 0.224440i | ||||
\(100\) | 4.74004 | + | 8.80522i | 0.474004 | + | 0.880522i | ||||
\(101\) | 11.3077 | + | 11.3077i | 1.12516 | + | 1.12516i | 0.990954 | + | 0.134204i | \(0.0428478\pi\) |
0.134204 | + | 0.990954i | \(0.457152\pi\) | |||||||
\(102\) | 0.212396 | + | 2.95385i | 0.0210304 | + | 0.292475i | ||||
\(103\) | −3.13609 | − | 4.31646i | −0.309008 | − | 0.425313i | 0.626063 | − | 0.779772i | \(-0.284665\pi\) |
−0.935072 | + | 0.354459i | \(0.884665\pi\) | |||||||
\(104\) | 1.10161 | − | 11.1119i | 0.108022 | − | 1.08961i | ||||
\(105\) | −0.00903164 | − | 0.500159i | −0.000881398 | − | 0.0488105i | ||||
\(106\) | 1.74363 | − | 1.46893i | 0.169356 | − | 0.142675i | ||||
\(107\) | −5.14664 | − | 5.14664i | −0.497545 | − | 0.497545i | 0.413128 | − | 0.910673i | \(-0.364436\pi\) |
−0.910673 | + | 0.413128i | \(0.864436\pi\) | |||||||
\(108\) | −9.50230 | − | 3.23012i | −0.914360 | − | 0.310819i | ||||
\(109\) | −1.47589 | − | 2.89660i | −0.141365 | − | 0.277444i | 0.809459 | − | 0.587176i | \(-0.199760\pi\) |
−0.950824 | + | 0.309733i | \(0.899760\pi\) | |||||||
\(110\) | −4.25387 | + | 2.67334i | −0.405591 | + | 0.254893i | ||||
\(111\) | −2.16490 | − | 6.66288i | −0.205483 | − | 0.632413i | ||||
\(112\) | −0.251887 | − | 0.853030i | −0.0238010 | − | 0.0806037i | ||||
\(113\) | 0.666879 | − | 2.05244i | 0.0627347 | − | 0.193078i | −0.914777 | − | 0.403960i | \(-0.867634\pi\) |
0.977512 | + | 0.210882i | \(0.0676336\pi\) | |||||||
\(114\) | 7.82175 | + | 6.77236i | 0.732574 | + | 0.634290i | ||||
\(115\) | −4.74534 | − | 8.91173i | −0.442505 | − | 0.831023i | ||||
\(116\) | −3.82097 | − | 0.0516515i | −0.354768 | − | 0.00479572i | ||||
\(117\) | 1.22763 | + | 7.75096i | 0.113495 | + | 0.716576i | ||||
\(118\) | 1.13890 | − | 4.60647i | 0.104844 | − | 0.424060i | ||||
\(119\) | 0.272040 | − | 0.374432i | 0.0249379 | − | 0.0343241i | ||||
\(120\) | 5.41801 | + | 3.33673i | 0.494594 | + | 0.304600i | ||||
\(121\) | 4.98194 | + | 6.85705i | 0.452904 | + | 0.623368i | ||||
\(122\) | 12.0004 | − | 4.87598i | 1.08647 | − | 0.441451i | ||||
\(123\) | 4.75725 | − | 9.33663i | 0.428947 | − | 0.841856i | ||||
\(124\) | 8.18834 | − | 15.5474i | 0.735335 | − | 1.39619i | ||||
\(125\) | 5.60766 | + | 9.67234i | 0.501564 | + | 0.865121i | ||||
\(126\) | 0.322999 | + | 0.535172i | 0.0287750 | + | 0.0476769i | ||||
\(127\) | 0.0661910 | + | 0.203715i | 0.00587350 | + | 0.0180768i | 0.953950 | − | 0.299965i | \(-0.0969749\pi\) |
−0.948077 | + | 0.318041i | \(0.896975\pi\) | |||||||
\(128\) | 10.8639 | + | 3.15844i | 0.960242 | + | 0.279170i | ||||
\(129\) | −9.80319 | + | 7.12243i | −0.863122 | + | 0.627095i | ||||
\(130\) | 0.838849 | − | 12.4561i | 0.0735719 | − | 1.09247i | ||||
\(131\) | −1.59260 | + | 0.252244i | −0.139147 | + | 0.0220386i | −0.225619 | − | 0.974216i | \(-0.572440\pi\) |
0.0864726 | + | 0.996254i | \(0.472440\pi\) | |||||||
\(132\) | −1.48973 | + | 2.82858i | −0.129665 | + | 0.246197i | ||||
\(133\) | −0.252942 | − | 1.59701i | −0.0219329 | − | 0.138479i | ||||
\(134\) | −5.11977 | + | 8.22934i | −0.442281 | + | 0.710907i | ||||
\(135\) | −10.7326 | − | 3.27422i | −0.923716 | − | 0.281800i | ||||
\(136\) | 2.14217 | + | 5.48354i | 0.183689 | + | 0.470210i | ||||
\(137\) | −15.9154 | − | 5.17122i | −1.35974 | − | 0.441807i | −0.463785 | − | 0.885948i | \(-0.653509\pi\) |
−0.895957 | + | 0.444141i | \(0.853509\pi\) | |||||||
\(138\) | −5.45489 | − | 3.39368i | −0.464351 | − | 0.288889i | ||||
\(139\) | −3.30650 | + | 6.48937i | −0.280453 | + | 0.550421i | −0.987665 | − | 0.156581i | \(-0.949953\pi\) |
0.707212 | + | 0.707002i | \(0.249953\pi\) | |||||||
\(140\) | −0.311584 | − | 0.944351i | −0.0263336 | − | 0.0798122i | ||||
\(141\) | 2.23474 | + | 4.38593i | 0.188199 | + | 0.369362i | ||||
\(142\) | −3.15327 | − | 0.269623i | −0.264617 | − | 0.0226263i | ||||
\(143\) | 6.27234 | 0.524519 | ||||||||
\(144\) | −7.94824 | − | 0.214926i | −0.662353 | − | 0.0179105i | ||||
\(145\) | −4.27167 | + | 0.0771359i | −0.354743 | + | 0.00640579i | ||||
\(146\) | −3.05362 | + | 7.23342i | −0.252719 | + | 0.598642i | ||||
\(147\) | 1.09393 | − | 6.90678i | 0.0902255 | − | 0.569662i | ||||
\(148\) | −8.03289 | − | 11.3766i | −0.660300 | − | 0.935150i | ||||
\(149\) | −1.43189 | − | 1.43189i | −0.117305 | − | 0.117305i | 0.646018 | − | 0.763323i | \(-0.276433\pi\) |
−0.763323 | + | 0.646018i | \(0.776433\pi\) | |||||||
\(150\) | 6.17226 | + | 3.53749i | 0.503963 | + | 0.288835i | ||||
\(151\) | 11.2634i | 0.916603i | 0.888797 | + | 0.458301i | \(0.151542\pi\) | ||||
−0.888797 | + | 0.458301i | \(0.848458\pi\) | |||||||
\(152\) | 18.8382 | + | 8.25437i | 1.52798 | + | 0.669518i | ||||
\(153\) | −2.43190 | − | 3.34722i | −0.196607 | − | 0.270607i | ||||
\(154\) | 0.462866 | − | 0.188071i | 0.0372988 | − | 0.0151552i | ||||
\(155\) | 8.60156 | − | 17.6628i | 0.690894 | − | 1.41871i | ||||
\(156\) | −3.51044 | − | 7.12614i | −0.281060 | − | 0.570547i | ||||
\(157\) | −15.3643 | + | 15.3643i | −1.22621 | + | 1.22621i | −0.260820 | + | 0.965388i | \(0.583993\pi\) |
−0.965388 | + | 0.260820i | \(0.916007\pi\) | |||||||
\(158\) | −1.03584 | + | 12.1142i | −0.0824068 | + | 0.963756i | ||||
\(159\) | 0.501212 | − | 1.54257i | 0.0397487 | − | 0.122334i | ||||
\(160\) | 12.2516 | + | 3.14606i | 0.968576 | + | 0.248718i | ||||
\(161\) | 0.310257 | + | 0.954872i | 0.0244517 | + | 0.0752544i | ||||
\(162\) | 1.25979 | − | 0.293457i | 0.0989782 | − | 0.0230562i | ||||
\(163\) | 0.175558 | + | 0.344553i | 0.0137508 | + | 0.0269874i | 0.897780 | − | 0.440445i | \(-0.145179\pi\) |
−0.884029 | + | 0.467432i | \(0.845179\pi\) | |||||||
\(164\) | 3.53643 | − | 20.5283i | 0.276149 | − | 1.60299i | ||||
\(165\) | −1.56491 | + | 3.21346i | −0.121828 | + | 0.250167i | ||||
\(166\) | 6.93983 | − | 11.1548i | 0.538635 | − | 0.865784i | ||||
\(167\) | 3.08417 | − | 4.24499i | 0.238660 | − | 0.328488i | −0.672839 | − | 0.739789i | \(-0.734926\pi\) |
0.911500 | + | 0.411301i | \(0.134926\pi\) | |||||||
\(168\) | −0.472723 | − | 0.420615i | −0.0364714 | − | 0.0324511i | ||||
\(169\) | −1.51994 | + | 2.09202i | −0.116919 | + | 0.160925i | ||||
\(170\) | 2.58735 | + | 6.05213i | 0.198441 | + | 0.464177i | ||||
\(171\) | −14.2765 | − | 2.26117i | −1.09175 | − | 0.172916i | ||||
\(172\) | −14.4208 | + | 19.2946i | −1.09957 | + | 1.47120i | ||||
\(173\) | 6.39267 | + | 3.25723i | 0.486026 | + | 0.247642i | 0.679792 | − | 0.733405i | \(-0.262070\pi\) |
−0.193766 | + | 0.981048i | \(0.562070\pi\) | |||||||
\(174\) | −2.32748 | + | 1.40473i | −0.176446 | + | 0.106492i | ||||
\(175\) | −0.381517 | − | 1.04429i | −0.0288400 | − | 0.0789412i | ||||
\(176\) | −1.16347 | + | 6.24771i | −0.0876995 | + | 0.470939i | ||||
\(177\) | −1.04317 | − | 3.21055i | −0.0784096 | − | 0.241320i | ||||
\(178\) | −7.57395 | + | 17.9412i | −0.567692 | + | 1.34475i | ||||
\(179\) | −3.40518 | + | 21.4995i | −0.254515 | + | 1.60695i | 0.447163 | + | 0.894452i | \(0.352434\pi\) |
−0.701678 | + | 0.712494i | \(0.747566\pi\) | |||||||
\(180\) | −8.88956 | + | 0.0403458i | −0.662589 | + | 0.00300720i | ||||
\(181\) | −3.93435 | − | 24.8405i | −0.292438 | − | 1.84638i | −0.497287 | − | 0.867586i | \(-0.665670\pi\) |
0.204849 | − | 0.978794i | \(-0.434330\pi\) | |||||||
\(182\) | −0.297969 | + | 1.20519i | −0.0220869 | + | 0.0893344i | ||||
\(183\) | 5.41648 | − | 7.45514i | 0.400397 | − | 0.551100i | ||||
\(184\) | −12.3552 | − | 3.23250i | −0.910836 | − | 0.238303i | ||||
\(185\) | −9.37809 | − | 12.4296i | −0.689491 | − | 0.913840i | ||||
\(186\) | −0.896554 | − | 12.4686i | −0.0657385 | − | 0.914243i | ||||
\(187\) | −2.94647 | + | 1.50130i | −0.215467 | + | 0.109786i | ||||
\(188\) | 6.82510 | + | 7.01215i | 0.497772 | + | 0.511414i | ||||
\(189\) | 0.994219 | + | 0.506580i | 0.0723188 | + | 0.0368483i | ||||
\(190\) | 21.3426 | + | 8.55920i | 1.54835 | + | 0.620950i | ||||
\(191\) | −4.56600 | + | 14.0527i | −0.330384 | + | 1.01682i | 0.638567 | + | 0.769566i | \(0.279528\pi\) |
−0.968951 | + | 0.247252i | \(0.920472\pi\) | |||||||
\(192\) | 7.74931 | − | 2.17482i | 0.559258 | − | 0.156954i | ||||
\(193\) | −13.5598 | −0.976057 | −0.488029 | − | 0.872828i | \(-0.662284\pi\) | ||||
−0.488029 | + | 0.872828i | \(0.662284\pi\) | |||||||
\(194\) | 0.932159 | − | 10.9017i | 0.0669251 | − | 0.782697i | ||||
\(195\) | −4.17434 | − | 7.83940i | −0.298931 | − | 0.561391i | ||||
\(196\) | −1.98883 | − | 13.7581i | −0.142059 | − | 0.982722i | ||||
\(197\) | 7.46327 | + | 1.18207i | 0.531736 | + | 0.0842188i | 0.416528 | − | 0.909123i | \(-0.363247\pi\) |
0.115208 | + | 0.993341i | \(0.463247\pi\) | |||||||
\(198\) | −0.320322 | − | 4.45480i | −0.0227643 | − | 0.316589i | ||||
\(199\) | 12.8104i | 0.908104i | 0.890975 | + | 0.454052i | \(0.150022\pi\) | ||||
−0.890975 | + | 0.454052i | \(0.849978\pi\) | |||||||
\(200\) | 13.8019 | + | 3.08325i | 0.975945 | + | 0.218019i | ||||
\(201\) | 6.89498i | 0.486334i | ||||||||
\(202\) | 22.5572 | − | 1.62197i | 1.58712 | − | 0.114121i | ||||
\(203\) | 0.419625 | + | 0.0664620i | 0.0294519 | + | 0.00466472i | ||||
\(204\) | 3.35471 | + | 2.50731i | 0.234877 | + | 0.175547i | ||||
\(205\) | 3.22737 | − | 23.0647i | 0.225409 | − | 1.61091i | ||||
\(206\) | −7.51801 | − | 0.642834i | −0.523805 | − | 0.0447884i | ||||
\(207\) | 8.97534 | 0.623829 | ||||||||
\(208\) | −10.8604 | − | 11.4641i | −0.753035 | − | 0.794892i | ||||
\(209\) | −3.57007 | + | 10.9876i | −0.246947 | + | 0.760025i | ||||
\(210\) | −0.543102 | − | 0.453343i | −0.0374776 | − | 0.0312837i | ||||
\(211\) | −11.3686 | − | 5.79258i | −0.782645 | − | 0.398778i | 0.0165395 | − | 0.999863i | \(-0.494735\pi\) |
−0.799185 | + | 0.601086i | \(0.794735\pi\) | |||||||
\(212\) | 0.0435815 | − | 3.22399i | 0.00299319 | − | 0.221424i | ||||
\(213\) | −2.00607 | + | 1.02214i | −0.137453 | + | 0.0700360i | ||||
\(214\) | −10.2668 | + | 0.738231i | −0.701823 | + | 0.0504644i | ||||
\(215\) | −15.4339 | + | 22.0702i | −1.05258 | + | 1.50517i | ||||
\(216\) | −12.2498 | + | 7.16919i | −0.833493 | + | 0.487802i | ||||
\(217\) | −1.14832 | + | 1.58053i | −0.0779531 | + | 0.107293i | ||||
\(218\) | −4.46312 | − | 1.10346i | −0.302281 | − | 0.0747354i | ||||
\(219\) | 0.873794 | + | 5.51692i | 0.0590455 | + | 0.372799i | ||||
\(220\) | −1.07964 | + | 7.02273i | −0.0727895 | + | 0.473472i | ||||
\(221\) | 1.28545 | − | 8.11602i | 0.0864688 | − | 0.545942i | ||||
\(222\) | −9.12764 | − | 3.85327i | −0.612607 | − | 0.258615i | ||||
\(223\) | 1.28267 | + | 3.94766i | 0.0858940 | + | 0.264355i | 0.984774 | − | 0.173841i | \(-0.0556178\pi\) |
−0.898880 | + | 0.438195i | \(0.855618\pi\) | |||||||
\(224\) | −1.14518 | − | 0.520351i | −0.0765159 | − | 0.0347674i | ||||
\(225\) | −9.93245 | + | 0.358828i | −0.662163 | + | 0.0239219i | ||||
\(226\) | −1.57702 | − | 2.61295i | −0.104902 | − | 0.173811i | ||||
\(227\) | 2.95958 | + | 1.50798i | 0.196434 | + | 0.100088i | 0.549441 | − | 0.835532i | \(-0.314841\pi\) |
−0.353007 | + | 0.935621i | \(0.614841\pi\) | |||||||
\(228\) | 14.4813 | − | 2.09337i | 0.959045 | − | 0.138637i | ||||
\(229\) | −12.7529 | − | 2.01987i | −0.842737 | − | 0.133476i | −0.279885 | − | 0.960034i | \(-0.590296\pi\) |
−0.562853 | + | 0.826557i | \(0.690296\pi\) | |||||||
\(230\) | −13.9207 | − | 3.17618i | −0.917905 | − | 0.209431i | ||||
\(231\) | 0.208918 | − | 0.287551i | 0.0137458 | − | 0.0189195i | ||||
\(232\) | −3.59232 | + | 4.03736i | −0.235847 | + | 0.265066i | ||||
\(233\) | −15.2759 | + | 21.0254i | −1.00076 | + | 1.37742i | −0.0758954 | + | 0.997116i | \(0.524181\pi\) |
−0.924861 | + | 0.380307i | \(0.875819\pi\) | |||||||
\(234\) | 9.42332 | + | 5.86259i | 0.616022 | + | 0.383249i | ||||
\(235\) | 7.87437 | + | 7.59503i | 0.513667 | + | 0.495445i | ||||
\(236\) | −3.87070 | − | 5.48188i | −0.251961 | − | 0.356840i | ||||
\(237\) | 3.92686 | + | 7.70690i | 0.255077 | + | 0.500617i | ||||
\(238\) | −0.148492 | − | 0.637464i | −0.00962532 | − | 0.0413206i | ||||
\(239\) | −4.21590 | − | 12.9752i | −0.272704 | − | 0.839297i | −0.989818 | − | 0.142341i | \(-0.954537\pi\) |
0.717114 | − | 0.696956i | \(-0.245463\pi\) | |||||||
\(240\) | 8.58292 | − | 2.70381i | 0.554025 | − | 0.174530i | ||||
\(241\) | −5.64491 | + | 17.3733i | −0.363621 | + | 1.11911i | 0.587220 | + | 0.809428i | \(0.300223\pi\) |
−0.950840 | + | 0.309682i | \(0.899777\pi\) | |||||||
\(242\) | 11.9430 | + | 1.02119i | 0.767724 | + | 0.0656449i | ||||
\(243\) | 11.2958 | − | 11.2958i | 0.724626 | − | 0.724626i | ||||
\(244\) | 5.89573 | − | 17.3439i | 0.377435 | − | 1.11033i | ||||
\(245\) | −2.70804 | − | 15.3042i | −0.173011 | − | 0.977748i | ||||
\(246\) | −5.57840 | − | 13.7292i | −0.355665 | − | 0.875339i | ||||
\(247\) | −16.8739 | − | 23.2249i | −1.07366 | − | 1.47777i | ||||
\(248\) | −9.04238 | − | 23.1468i | −0.574192 | − | 1.46982i | ||||
\(249\) | − | 9.34611i | − | 0.592286i | ||||||
\(250\) | 15.5322 | + | 2.95834i | 0.982340 | + | 0.187102i | ||||
\(251\) | −0.489360 | − | 0.489360i | −0.0308881 | − | 0.0308881i | 0.691494 | − | 0.722382i | \(-0.256953\pi\) |
−0.722382 | + | 0.691494i | \(0.756953\pi\) | |||||||
\(252\) | 0.871177 | + | 0.150079i | 0.0548790 | + | 0.00945407i | ||||
\(253\) | 1.12222 | − | 7.08541i | 0.0705533 | − | 0.445456i | ||||
\(254\) | 0.279074 | + | 0.117812i | 0.0175107 | + | 0.00739219i | ||||
\(255\) | 3.83730 | + | 2.68347i | 0.240301 | + | 0.168045i | ||||
\(256\) | 13.4336 | − | 8.69129i | 0.839600 | − | 0.543205i | ||||
\(257\) | 18.4340 | 1.14988 | 0.574940 | − | 0.818195i | \(-0.305025\pi\) | ||||
0.574940 | + | 0.818195i | \(0.305025\pi\) | |||||||
\(258\) | −1.45995 | + | 17.0743i | −0.0908926 | + | 1.06300i | ||||
\(259\) | 0.702949 | + | 1.37961i | 0.0436791 | + | 0.0857251i | ||||
\(260\) | −12.5409 | − | 12.4276i | −0.777752 | − | 0.770724i | ||||
\(261\) | 1.72425 | − | 3.38403i | 0.106728 | − | 0.209466i | ||||
\(262\) | −1.20460 | + | 1.93623i | −0.0744203 | + | 0.119621i | ||||
\(263\) | 6.35852 | + | 2.06601i | 0.392083 | + | 0.127396i | 0.498422 | − | 0.866934i | \(-0.333913\pi\) |
−0.106339 | + | 0.994330i | \(0.533913\pi\) | |||||||
\(264\) | 1.64511 | + | 4.21118i | 0.101250 | + | 0.259180i | ||||
\(265\) | −0.0650842 | − | 3.60427i | −0.00399809 | − | 0.221408i | ||||
\(266\) | −1.94159 | − | 1.20793i | −0.119046 | − | 0.0740631i | ||||
\(267\) | 2.16729 | + | 13.6837i | 0.132636 | + | 0.837431i | ||||
\(268\) | 4.05896 | + | 13.0917i | 0.247940 | + | 0.799704i | ||||
\(269\) | 3.45316 | − | 0.546927i | 0.210543 | − | 0.0333467i | −0.0502719 | − | 0.998736i | \(-0.516009\pi\) |
0.260815 | + | 0.965389i | \(0.416009\pi\) | |||||||
\(270\) | −13.4358 | + | 8.44374i | −0.817679 | + | 0.513870i | ||||
\(271\) | 5.62934 | − | 4.08996i | 0.341958 | − | 0.248447i | −0.403529 | − | 0.914967i | \(-0.632217\pi\) |
0.745488 | + | 0.666519i | \(0.232217\pi\) | |||||||
\(272\) | 7.84571 | + | 2.78586i | 0.475716 | + | 0.168917i | ||||
\(273\) | 0.272924 | + | 0.839974i | 0.0165181 | + | 0.0508375i | ||||
\(274\) | −20.2617 | + | 12.2288i | −1.22405 | + | 0.738769i | ||||
\(275\) | −0.958619 | + | 7.88584i | −0.0578069 | + | 0.475534i | ||||
\(276\) | −8.67796 | + | 2.69051i | −0.522352 | + | 0.161950i | ||||
\(277\) | 2.93989 | − | 5.76985i | 0.176641 | − | 0.346677i | −0.785663 | − | 0.618655i | \(-0.787678\pi\) |
0.962303 | + | 0.271978i | \(0.0876779\pi\) | |||||||
\(278\) | 3.87723 | + | 9.54236i | 0.232541 | + | 0.572313i | ||||
\(279\) | 10.2654 | + | 14.1291i | 0.614573 | + | 0.845887i | ||||
\(280\) | −1.29808 | − | 0.541063i | −0.0775752 | − | 0.0323347i | ||||
\(281\) | 7.19339 | − | 9.90085i | 0.429121 | − | 0.590635i | −0.538630 | − | 0.842542i | \(-0.681058\pi\) |
0.967751 | + | 0.251908i | \(0.0810579\pi\) | |||||||
\(282\) | 6.75790 | + | 1.67081i | 0.402427 | + | 0.0994955i | ||||
\(283\) | −2.39703 | − | 15.1343i | −0.142489 | − | 0.899639i | −0.950557 | − | 0.310550i | \(-0.899487\pi\) |
0.808068 | − | 0.589089i | \(-0.200513\pi\) | |||||||
\(284\) | −3.20727 | + | 3.12171i | −0.190316 | + | 0.185240i | ||||
\(285\) | 16.1086 | − | 2.85038i | 0.954191 | − | 0.168842i | ||||
\(286\) | 5.80633 | − | 6.70603i | 0.343336 | − | 0.396536i | ||||
\(287\) | −0.715670 | + | 2.20261i | −0.0422447 | + | 0.130016i | ||||
\(288\) | −7.58751 | + | 8.29886i | −0.447099 | + | 0.489015i | ||||
\(289\) | −3.91455 | − | 12.0477i | −0.230267 | − | 0.708690i | ||||
\(290\) | −3.87184 | + | 4.63844i | −0.227362 | + | 0.272379i | ||||
\(291\) | −3.53382 | − | 6.93551i | −0.207156 | − | 0.406567i | ||||
\(292\) | 4.90682 | + | 9.96077i | 0.287150 | + | 0.582910i | ||||
\(293\) | −2.76947 | − | 2.76947i | −0.161794 | − | 0.161794i | 0.621567 | − | 0.783361i | \(-0.286496\pi\) |
−0.783361 | + | 0.621567i | \(0.786496\pi\) | |||||||
\(294\) | −6.37169 | − | 7.56321i | −0.371605 | − | 0.441095i | ||||
\(295\) | −4.51889 | − | 5.98927i | −0.263100 | − | 0.348709i | ||||
\(296\) | −19.5993 | − | 1.94304i | −1.13919 | − | 0.112937i | ||||
\(297\) | −4.68626 | − | 6.45008i | −0.271924 | − | 0.374272i | ||||
\(298\) | −2.85641 | + | 0.205389i | −0.165467 | + | 0.0118979i | ||||
\(299\) | 12.6047 | + | 12.6047i | 0.728948 | + | 0.728948i | ||||
\(300\) | 9.49579 | − | 3.32436i | 0.548240 | − | 0.191932i | ||||
\(301\) | 1.89372 | − | 1.89372i | 0.109152 | − | 0.109152i | ||||
\(302\) | 12.0422 | + | 10.4266i | 0.692951 | + | 0.599983i | ||||
\(303\) | 13.0162 | − | 9.45679i | 0.747759 | − | 0.543279i | ||||
\(304\) | 26.2637 | − | 12.4996i | 1.50633 | − | 0.716903i | ||||
\(305\) | 5.97621 | − | 19.5895i | 0.342197 | − | 1.12169i | ||||
\(306\) | −5.82989 | − | 0.498489i | −0.333273 | − | 0.0284967i | ||||
\(307\) | −22.2457 | + | 22.2457i | −1.26963 | + | 1.26963i | −0.323350 | + | 0.946280i | \(0.604809\pi\) |
−0.946280 | + | 0.323350i | \(0.895191\pi\) | |||||||
\(308\) | 0.227403 | − | 0.668969i | 0.0129575 | − | 0.0381180i | ||||
\(309\) | −4.78285 | + | 2.43698i | −0.272087 | + | 0.138635i | ||||
\(310\) | −10.9216 | − | 25.5469i | −0.620304 | − | 1.45096i | ||||
\(311\) | 2.76777 | − | 0.899303i | 0.156946 | − | 0.0509948i | −0.229490 | − | 0.973311i | \(-0.573706\pi\) |
0.386436 | + | 0.922316i | \(0.373706\pi\) | |||||||
\(312\) | −10.8685 | − | 2.84353i | −0.615308 | − | 0.160983i | ||||
\(313\) | −12.2202 | − | 3.97059i | −0.690727 | − | 0.224431i | −0.0574414 | − | 0.998349i | \(-0.518294\pi\) |
−0.633286 | + | 0.773918i | \(0.718294\pi\) | |||||||
\(314\) | 2.20385 | + | 30.6495i | 0.124370 | + | 1.72965i | ||||
\(315\) | 0.978817 | + | 0.136963i | 0.0551501 | + | 0.00771697i | ||||
\(316\) | 11.9930 | + | 12.3217i | 0.674658 | + | 0.693148i | ||||
\(317\) | −19.8825 | + | 3.14908i | −1.11671 | + | 0.176870i | −0.687395 | − | 0.726284i | \(-0.741246\pi\) |
−0.429317 | + | 0.903154i | \(0.641246\pi\) | |||||||
\(318\) | −1.18526 | − | 1.96383i | −0.0664659 | − | 0.110126i | ||||
\(319\) | −2.45587 | − | 1.78429i | −0.137502 | − | 0.0999012i | ||||
\(320\) | 14.7050 | − | 10.1864i | 0.822034 | − | 0.569439i | ||||
\(321\) | −5.92424 | + | 4.30421i | −0.330659 | + | 0.240238i | ||||
\(322\) | 1.30810 | + | 0.552221i | 0.0728977 | + | 0.0307741i | ||||
\(323\) | 13.4856 | + | 6.87124i | 0.750357 | + | 0.382326i | ||||
\(324\) | 0.852443 | − | 1.61855i | 0.0473579 | − | 0.0899194i | ||||
\(325\) | −14.4527 | − | 13.4449i | −0.801694 | − | 0.745789i | ||||
\(326\) | 0.530892 | + | 0.131257i | 0.0294034 | + | 0.00726965i | ||||
\(327\) | −3.11064 | + | 1.01071i | −0.172019 | + | 0.0558923i | ||||
\(328\) | −18.6740 | − | 22.7841i | −1.03110 | − | 1.25804i | ||||
\(329\) | −0.639471 | − | 0.880156i | −0.0352552 | − | 0.0485246i | ||||
\(330\) | 1.98700 | + | 4.64783i | 0.109381 | + | 0.255855i | ||||
\(331\) | −1.50582 | − | 9.50734i | −0.0827671 | − | 0.522571i | −0.993885 | − | 0.110424i | \(-0.964779\pi\) |
0.911117 | − | 0.412147i | \(-0.135221\pi\) | |||||||
\(332\) | −5.50190 | − | 17.7458i | −0.301956 | − | 0.973926i | ||||
\(333\) | 13.6713 | − | 2.16532i | 0.749182 | − | 0.118659i | ||||
\(334\) | −1.68348 | − | 7.22704i | −0.0921160 | − | 0.395446i | ||||
\(335\) | 4.99784 | + | 14.4864i | 0.273061 | + | 0.791479i | ||||
\(336\) | −0.887301 | + | 0.116044i | −0.0484062 | + | 0.00633074i | ||||
\(337\) | −0.505396 | + | 1.55545i | −0.0275307 | + | 0.0847308i | −0.963878 | − | 0.266345i | \(-0.914184\pi\) |
0.936347 | + | 0.351076i | \(0.114184\pi\) | |||||||
\(338\) | 0.829656 | + | 3.56164i | 0.0451273 | + | 0.193728i | ||||
\(339\) | −1.93456 | − | 0.985707i | −0.105071 | − | 0.0535362i | ||||
\(340\) | 8.86572 | + | 2.83623i | 0.480811 | + | 0.153816i | ||||
\(341\) | 12.4375 | − | 6.33720i | 0.673526 | − | 0.343179i | ||||
\(342\) | −15.6333 | + | 13.1704i | −0.845353 | + | 0.712175i | ||||
\(343\) | 3.10205i | 0.167495i | ||||||||
\(344\) | 7.27929 | + | 33.2790i | 0.392473 | + | 1.79428i | ||||
\(345\) | −9.60246 | + | 3.31286i | −0.516979 | + | 0.178358i | ||||
\(346\) | 9.40017 | − | 3.81945i | 0.505356 | − | 0.205335i | ||||
\(347\) | 12.3553 | + | 1.95688i | 0.663266 | + | 0.105051i | 0.478986 | − | 0.877823i | \(-0.341005\pi\) |
0.184281 | + | 0.982874i | \(0.441005\pi\) | |||||||
\(348\) | −0.652697 | + | 3.78878i | −0.0349882 | + | 0.203100i | ||||
\(349\) | −14.2458 | + | 14.2458i | −0.762562 | + | 0.762562i | −0.976785 | − | 0.214222i | \(-0.931278\pi\) |
0.214222 | + | 0.976785i | \(0.431278\pi\) | |||||||
\(350\) | −1.46967 | − | 0.558811i | −0.0785573 | − | 0.0298697i | ||||
\(351\) | 19.8111 | 1.05744 | ||||||||
\(352\) | 5.60268 | + | 7.02745i | 0.298624 | + | 0.374564i | ||||
\(353\) | 16.1360 | − | 11.7235i | 0.858833 | − | 0.623979i | −0.0687342 | − | 0.997635i | \(-0.521896\pi\) |
0.927567 | + | 0.373656i | \(0.121896\pi\) | |||||||
\(354\) | −4.39821 | − | 1.85672i | −0.233762 | − | 0.0986837i | ||||
\(355\) | −3.47387 | + | 3.60164i | −0.184374 | + | 0.191155i | ||||
\(356\) | 12.1705 | + | 24.7059i | 0.645035 | + | 1.30941i | ||||
\(357\) | −0.329258 | − | 0.329258i | −0.0174262 | − | 0.0174262i | ||||
\(358\) | 19.8339 | + | 23.5428i | 1.04825 | + | 1.24428i | ||||
\(359\) | 24.4363 | + | 7.93984i | 1.28970 | + | 0.419049i | 0.871986 | − | 0.489530i | \(-0.162832\pi\) |
0.417713 | + | 0.908579i | \(0.362832\pi\) | |||||||
\(360\) | −8.18598 | + | 9.54157i | −0.431439 | + | 0.502885i | ||||
\(361\) | 32.2184 | − | 10.4684i | 1.69571 | − | 0.550969i | ||||
\(362\) | −30.2001 | − | 18.7886i | −1.58728 | − | 0.987506i | ||||
\(363\) | 7.59795 | − | 3.87135i | 0.398789 | − | 0.203193i | ||||
\(364\) | 1.01269 | + | 1.43422i | 0.0530793 | + | 0.0751735i | ||||
\(365\) | 5.83481 | + | 10.9577i | 0.305408 | + | 0.573555i | ||||
\(366\) | −2.95656 | − | 12.6923i | −0.154542 | − | 0.663435i | ||||
\(367\) | −3.32467 | − | 2.41552i | −0.173546 | − | 0.126089i | 0.497621 | − | 0.867394i | \(-0.334207\pi\) |
−0.671168 | + | 0.741306i | \(0.734207\pi\) | |||||||
\(368\) | −14.8933 | + | 10.2171i | −0.776365 | + | 0.532605i | ||||
\(369\) | 16.7494 | + | 12.1692i | 0.871941 | + | 0.633503i | ||||
\(370\) | −21.9703 | − | 1.47958i | −1.14218 | − | 0.0769196i | ||||
\(371\) | −0.0560780 | + | 0.354063i | −0.00291143 | + | 0.0183820i | ||||
\(372\) | −14.1607 | − | 10.5837i | −0.734198 | − | 0.548740i | ||||
\(373\) | −2.29938 | + | 4.51278i | −0.119057 | + | 0.233663i | −0.942842 | − | 0.333239i | \(-0.891858\pi\) |
0.823785 | + | 0.566902i | \(0.191858\pi\) | |||||||
\(374\) | −1.12245 | + | 4.53996i | −0.0580407 | + | 0.234756i | ||||
\(375\) | 10.4940 | − | 4.05004i | 0.541908 | − | 0.209143i | ||||
\(376\) | 13.8150 | − | 0.805834i | 0.712456 | − | 0.0415577i | ||||
\(377\) | 7.17391 | − | 2.33094i | 0.369475 | − | 0.120050i | ||||
\(378\) | 1.46196 | − | 0.594020i | 0.0751952 | − | 0.0305531i | ||||
\(379\) | 25.6897 | + | 4.06884i | 1.31959 | + | 0.209002i | 0.776204 | − | 0.630481i | \(-0.217142\pi\) |
0.543385 | + | 0.839484i | \(0.317142\pi\) | |||||||
\(380\) | 28.9079 | − | 14.8950i | 1.48295 | − | 0.764096i | ||||
\(381\) | 0.212849 | − | 0.0337120i | 0.0109046 | − | 0.00172712i | ||||
\(382\) | 10.7976 | + | 17.8904i | 0.552454 | + | 0.915352i | ||||
\(383\) | 26.0652 | + | 18.9374i | 1.33187 | + | 0.967658i | 0.999701 | + | 0.0244370i | \(0.00777931\pi\) |
0.332166 | + | 0.943221i | \(0.392221\pi\) | |||||||
\(384\) | 4.84838 | − | 10.2984i | 0.247418 | − | 0.525537i | ||||
\(385\) | 0.230507 | − | 0.755583i | 0.0117477 | − | 0.0385081i | ||||
\(386\) | −12.5524 | + | 14.4974i | −0.638900 | + | 0.737899i | ||||
\(387\) | −10.8690 | − | 21.3316i | −0.552503 | − | 1.08435i | ||||
\(388\) | −10.7926 | − | 11.0884i | −0.547911 | − | 0.562927i | ||||
\(389\) | 2.01657 | − | 3.95775i | 0.102244 | − | 0.200666i | −0.834217 | − | 0.551436i | \(-0.814080\pi\) |
0.936462 | + | 0.350770i | \(0.114080\pi\) | |||||||
\(390\) | −12.2457 | − | 2.79400i | −0.620083 | − | 0.141480i | ||||
\(391\) | −8.93810 | − | 2.90416i | −0.452019 | − | 0.146870i | ||||
\(392\) | −16.5505 | − | 10.6096i | −0.835925 | − | 0.535866i | ||||
\(393\) | 1.62227i | 0.0818329i | ||||||||
\(394\) | 8.17259 | − | 6.88507i | 0.411729 | − | 0.346865i | ||||
\(395\) | 13.8368 | + | 13.3459i | 0.696202 | + | 0.671505i | ||||
\(396\) | −5.05935 | − | 3.78136i | −0.254242 | − | 0.190021i | ||||
\(397\) | −0.939687 | + | 5.93295i | −0.0471616 | + | 0.297766i | −0.999983 | − | 0.00576382i | \(-0.998165\pi\) |
0.952822 | + | 0.303530i | \(0.0981653\pi\) | |||||||
\(398\) | 13.6962 | + | 11.8586i | 0.686526 | + | 0.594420i | ||||
\(399\) | −1.62676 | −0.0814401 | ||||||||
\(400\) | 16.0730 | − | 11.9021i | 0.803648 | − | 0.595104i | ||||
\(401\) | −39.0974 | −1.95243 | −0.976217 | − | 0.216798i | \(-0.930439\pi\) | ||||
−0.976217 | + | 0.216798i | \(0.930439\pi\) | |||||||
\(402\) | 7.37173 | + | 6.38272i | 0.367668 | + | 0.318341i | ||||
\(403\) | −5.42607 | + | 34.2588i | −0.270292 | + | 1.70655i | ||||
\(404\) | 19.1472 | − | 25.6183i | 0.952607 | − | 1.27456i | ||||
\(405\) | 0.895461 | − | 1.83878i | 0.0444958 | − | 0.0913696i | ||||
\(406\) | 0.459506 | − | 0.387115i | 0.0228049 | − | 0.0192122i | ||||
\(407\) | − | 11.0633i | − | 0.548385i | ||||||
\(408\) | 5.78615 | − | 1.26564i | 0.286457 | − | 0.0626584i | ||||
\(409\) | 12.1463 | + | 3.94658i | 0.600597 | + | 0.195146i | 0.593506 | − | 0.804829i | \(-0.297743\pi\) |
0.00709008 | + | 0.999975i | \(0.497743\pi\) | |||||||
\(410\) | −21.6719 | − | 24.8016i | −1.07030 | − | 1.22486i | ||||
\(411\) | −7.64352 | + | 15.0012i | −0.377027 | + | 0.739957i | ||||
\(412\) | −7.64674 | + | 7.44277i | −0.376728 | + | 0.366679i | ||||
\(413\) | 0.338720 | + | 0.664776i | 0.0166673 | + | 0.0327115i | ||||
\(414\) | 8.30852 | − | 9.59594i | 0.408342 | − | 0.471615i | ||||
\(415\) | −6.77456 | − | 19.6363i | −0.332550 | − | 0.963908i | ||||
\(416\) | −22.3103 | + | 0.998990i | −1.09385 | + | 0.0489795i | ||||
\(417\) | 5.92810 | + | 4.30701i | 0.290300 | + | 0.210915i | ||||
\(418\) | 8.44245 | + | 13.9882i | 0.412934 | + | 0.684183i | ||||
\(419\) | 14.2738 | − | 2.26074i | 0.697319 | − | 0.110444i | 0.202296 | − | 0.979324i | \(-0.435160\pi\) |
0.495023 | + | 0.868880i | \(0.335160\pi\) | |||||||
\(420\) | −0.987442 | + | 0.160993i | −0.0481822 | + | 0.00785564i | ||||
\(421\) | 4.86788 | + | 0.770997i | 0.237246 | + | 0.0375761i | 0.273925 | − | 0.961751i | \(-0.411678\pi\) |
−0.0366791 | + | 0.999327i | \(0.511678\pi\) | |||||||
\(422\) | −16.7171 | + | 6.79243i | −0.813773 | + | 0.330650i | ||||
\(423\) | −9.24955 | + | 3.00536i | −0.449728 | + | 0.146126i | ||||
\(424\) | −3.40656 | − | 3.03106i | −0.165437 | − | 0.147201i | ||||
\(425\) | 10.0073 | + | 2.85652i | 0.485427 | + | 0.138561i | ||||
\(426\) | −0.764209 | + | 3.09098i | −0.0370260 | + | 0.149758i | ||||
\(427\) | −0.924626 | + | 1.81468i | −0.0447458 | + | 0.0878186i | ||||
\(428\) | −8.71473 | + | 11.6601i | −0.421243 | + | 0.563610i | ||||
\(429\) | 0.987183 | − | 6.23283i | 0.0476617 | − | 0.300924i | ||||
\(430\) | 9.30897 | + | 36.9316i | 0.448918 | + | 1.78100i | ||||
\(431\) | −4.96696 | − | 3.60871i | −0.239250 | − | 0.173825i | 0.461699 | − | 0.887037i | \(-0.347240\pi\) |
−0.700949 | + | 0.713211i | \(0.747240\pi\) | |||||||
\(432\) | −3.67480 | + | 19.7334i | −0.176804 | + | 0.949422i | ||||
\(433\) | −4.38014 | − | 3.18236i | −0.210496 | − | 0.152935i | 0.477542 | − | 0.878609i | \(-0.341528\pi\) |
−0.688038 | + | 0.725674i | \(0.741528\pi\) | |||||||
\(434\) | 0.626806 | + | 2.69082i | 0.0300877 | + | 0.129164i | ||||
\(435\) | −0.595655 | + | 4.25691i | −0.0285595 | + | 0.204103i | ||||
\(436\) | −5.31129 | + | 3.75025i | −0.254364 | + | 0.179604i | ||||
\(437\) | −29.2546 | + | 14.9059i | −1.39944 | + | 0.713048i | ||||
\(438\) | 6.70726 | + | 4.17283i | 0.320485 | + | 0.199385i | ||||
\(439\) | 22.7245 | − | 7.38364i | 1.08458 | − | 0.352402i | 0.288432 | − | 0.957501i | \(-0.406866\pi\) |
0.796151 | + | 0.605098i | \(0.206866\pi\) | |||||||
\(440\) | 6.50888 | + | 7.65527i | 0.310299 | + | 0.364951i | ||||
\(441\) | 13.1400 | + | 4.26945i | 0.625715 | + | 0.203307i | ||||
\(442\) | −7.48725 | − | 8.88737i | −0.356132 | − | 0.422729i | ||||
\(443\) | −7.20169 | − | 7.20169i | −0.342163 | − | 0.342163i | 0.515017 | − | 0.857180i | \(-0.327786\pi\) |
−0.857180 | + | 0.515017i | \(0.827786\pi\) | |||||||
\(444\) | −12.5692 | + | 6.19178i | −0.596508 | + | 0.293849i | ||||
\(445\) | 14.4722 | + | 27.1788i | 0.686048 | + | 1.28840i | ||||
\(446\) | 5.40799 | + | 2.28301i | 0.256076 | + | 0.108103i | ||||
\(447\) | −1.64823 | + | 1.19751i | −0.0779588 | + | 0.0566404i | ||||
\(448\) | −1.61643 | + | 0.742676i | −0.0763693 | + | 0.0350882i | ||||
\(449\) | 4.67456 | 0.220606 | 0.110303 | − | 0.993898i | \(-0.464818\pi\) | ||||
0.110303 | + | 0.993898i | \(0.464818\pi\) | |||||||
\(450\) | −8.81088 | + | 10.9514i | −0.415349 | + | 0.516254i | ||||
\(451\) | 11.7010 | − | 11.7010i | 0.550977 | − | 0.550977i | ||||
\(452\) | −4.25348 | − | 0.732752i | −0.200067 | − | 0.0344657i | ||||
\(453\) | 11.1925 | + | 1.77271i | 0.525868 | + | 0.0832893i | ||||
\(454\) | 4.35195 | − | 1.76827i | 0.204247 | − | 0.0829892i | ||||
\(455\) | 1.18227 | + | 1.56697i | 0.0554259 | + | 0.0734605i | ||||
\(456\) | 11.1673 | − | 17.4204i | 0.522955 | − | 0.815785i | ||||
\(457\) | 21.8366i | 1.02147i | 0.859737 | + | 0.510737i | \(0.170627\pi\) | ||||
−0.859737 | + | 0.510737i | \(0.829373\pi\) | |||||||
\(458\) | −13.9650 | + | 11.7649i | −0.652541 | + | 0.549739i | ||||
\(459\) | −9.30641 | + | 4.74185i | −0.434386 | + | 0.221331i | ||||
\(460\) | −16.2823 | + | 11.9430i | −0.759165 | + | 0.556847i | ||||
\(461\) | −23.0075 | − | 11.7229i | −1.07156 | − | 0.545989i | −0.173041 | − | 0.984915i | \(-0.555359\pi\) |
−0.898524 | + | 0.438925i | \(0.855359\pi\) | |||||||
\(462\) | −0.114037 | − | 0.489551i | −0.00530548 | − | 0.0227760i | ||||
\(463\) | 6.92978 | − | 21.3277i | 0.322054 | − | 0.991180i | −0.650699 | − | 0.759336i | \(-0.725524\pi\) |
0.972753 | − | 0.231844i | \(-0.0744760\pi\) | |||||||
\(464\) | 0.991093 | + | 7.57811i | 0.0460103 | + | 0.351805i | ||||
\(465\) | −16.1978 | − | 11.3273i | −0.751154 | − | 0.525290i | ||||
\(466\) | 8.33828 | + | 35.7955i | 0.386263 | + | 1.65819i | ||||
\(467\) | 41.9966 | − | 6.65160i | 1.94337 | − | 0.307800i | 0.943638 | − | 0.330978i | \(-0.107379\pi\) |
0.999731 | + | 0.0231790i | \(0.00737876\pi\) | |||||||
\(468\) | 14.9912 | − | 4.64786i | 0.692967 | − | 0.214847i | ||||
\(469\) | −0.238389 | − | 1.50513i | −0.0110078 | − | 0.0695005i | ||||
\(470\) | 15.4095 | − | 1.38808i | 0.710789 | − | 0.0640274i | ||||
\(471\) | 12.8494 | + | 17.6857i | 0.592070 | + | 0.814914i | ||||
\(472\) | −9.44405 | − | 0.936267i | −0.434698 | − | 0.0430952i | ||||
\(473\) | −18.1988 | + | 5.91316i | −0.836783 | + | 0.271887i | ||||
\(474\) | 11.8749 | + | 2.93593i | 0.545432 | + | 0.134852i | ||||
\(475\) | 31.7783 | − | 17.6651i | 1.45809 | − | 0.810528i | ||||
\(476\) | −0.819001 | − | 0.431344i | −0.0375388 | − | 0.0197706i | ||||
\(477\) | 2.85531 | + | 1.45485i | 0.130736 | + | 0.0666132i | ||||
\(478\) | −17.7751 | − | 7.50381i | −0.813012 | − | 0.343216i | ||||
\(479\) | −14.8016 | + | 10.7540i | −0.676302 | + | 0.491362i | −0.872129 | − | 0.489277i | \(-0.837261\pi\) |
0.195827 | + | 0.980638i | \(0.437261\pi\) | |||||||
\(480\) | 5.05449 | − | 11.6793i | 0.230705 | − | 0.533085i | ||||
\(481\) | 22.2404 | + | 16.1586i | 1.01408 | + | 0.736769i | ||||
\(482\) | 13.3490 | + | 22.1177i | 0.608030 | + | 1.00744i | ||||
\(483\) | 0.997688 | − | 0.158018i | 0.0453964 | − | 0.00719008i | ||||
\(484\) | 12.1475 | − | 11.8235i | 0.552159 | − | 0.537430i | ||||
\(485\) | −12.4518 | − | 12.0101i | −0.565408 | − | 0.545350i | ||||
\(486\) | −1.62026 | − | 22.5334i | −0.0734966 | − | 1.02214i | ||||
\(487\) | −5.43922 | − | 1.76731i | −0.246475 | − | 0.0800845i | 0.183174 | − | 0.983080i | \(-0.441363\pi\) |
−0.429649 | + | 0.902996i | \(0.641363\pi\) | |||||||
\(488\) | −13.0854 | − | 22.3587i | −0.592350 | − | 1.01213i | ||||
\(489\) | 0.370013 | − | 0.120225i | 0.0167326 | − | 0.00543674i | ||||
\(490\) | −18.8692 | − | 11.2719i | −0.852424 | − | 0.509211i | ||||
\(491\) | −17.1622 | + | 8.74460i | −0.774521 | + | 0.394638i | −0.796128 | − | 0.605128i | \(-0.793122\pi\) |
0.0216070 | + | 0.999767i | \(0.493122\pi\) | |||||||
\(492\) | −19.8424 | − | 6.74504i | −0.894564 | − | 0.304090i | ||||
\(493\) | −2.81207 | + | 2.81207i | −0.126649 | + | 0.126649i | ||||
\(494\) | −40.4511 | − | 3.45880i | −1.81998 | − | 0.155619i | ||||
\(495\) | −5.78716 | − | 4.04702i | −0.260114 | − | 0.181900i | ||||
\(496\) | −33.1178 | − | 11.7595i | −1.48703 | − | 0.528017i | ||||
\(497\) | 0.402572 | − | 0.292486i | 0.0180578 | − | 0.0131198i | ||||
\(498\) | −9.99235 | − | 8.65175i | −0.447768 | − | 0.387694i | ||||
\(499\) | 13.1734 | − | 13.1734i | 0.589721 | − | 0.589721i | −0.347835 | − | 0.937556i | \(-0.613083\pi\) |
0.937556 | + | 0.347835i | \(0.113083\pi\) | |||||||
\(500\) | 17.5411 | − | 13.8676i | 0.784462 | − | 0.620177i | ||||
\(501\) | −3.73285 | − | 3.73285i | −0.166771 | − | 0.166771i | ||||
\(502\) | −0.976199 | + | 0.0701934i | −0.0435699 | + | 0.00313289i | ||||
\(503\) | 22.5262 | + | 31.0047i | 1.00440 | + | 1.38243i | 0.922589 | + | 0.385784i | \(0.126069\pi\) |
0.0818062 | + | 0.996648i | \(0.473931\pi\) | |||||||
\(504\) | 0.966909 | − | 0.792486i | 0.0430696 | − | 0.0353001i | ||||
\(505\) | 20.4923 | − | 29.3036i | 0.911897 | − | 1.30400i | ||||
\(506\) | −6.53648 | − | 7.75881i | −0.290582 | − | 0.344921i | ||||
\(507\) | 1.83963 | + | 1.83963i | 0.0817008 | + | 0.0817008i | ||||
\(508\) | 0.384298 | − | 0.189311i | 0.0170505 | − | 0.00839932i | ||||
\(509\) | −16.0741 | − | 31.5472i | −0.712472 | − | 1.39830i | −0.908575 | − | 0.417721i | \(-0.862829\pi\) |
0.196104 | − | 0.980583i | \(-0.437171\pi\) | |||||||
\(510\) | 6.42122 | − | 1.61853i | 0.284337 | − | 0.0716699i | ||||
\(511\) | −0.381488 | − | 1.17410i | −0.0168760 | − | 0.0519390i | ||||
\(512\) | 3.14331 | − | 22.4080i | 0.138916 | − | 0.990304i | ||||
\(513\) | −11.2761 | + | 34.7042i | −0.497850 | + | 1.53223i | ||||
\(514\) | 17.0644 | − | 19.7086i | 0.752680 | − | 0.869309i | ||||
\(515\) | −8.28238 | + | 8.58700i | −0.364965 | + | 0.378388i | ||||
\(516\) | 16.9034 | + | 17.3667i | 0.744131 | + | 0.764525i | ||||
\(517\) | 1.21602 | + | 7.67764i | 0.0534805 | + | 0.337662i | ||||
\(518\) | 2.12573 | + | 0.525563i | 0.0933993 | + | 0.0230919i | ||||
\(519\) | 4.24283 | − | 5.83976i | 0.186240 | − | 0.256337i | ||||
\(520\) | −24.8960 | + | 1.90376i | −1.09176 | + | 0.0834852i | ||||
\(521\) | −11.7847 | − | 16.2203i | −0.516299 | − | 0.710624i | 0.468667 | − | 0.883375i | \(-0.344734\pi\) |
−0.984966 | + | 0.172751i | \(0.944734\pi\) | |||||||
\(522\) | −2.02187 | − | 4.97609i | −0.0884949 | − | 0.217797i | ||||
\(523\) | −1.00896 | + | 1.98020i | −0.0441189 | + | 0.0865882i | −0.912014 | − | 0.410160i | \(-0.865473\pi\) |
0.867895 | + | 0.496748i | \(0.165473\pi\) | |||||||
\(524\) | 0.955005 | + | 3.08026i | 0.0417196 | + | 0.134562i | ||||
\(525\) | −1.09776 | + | 0.214756i | −0.0479103 | + | 0.00937272i | ||||
\(526\) | 8.09498 | − | 4.88566i | 0.352958 | − | 0.213025i | ||||
\(527\) | −5.65102 | − | 17.3920i | −0.246162 | − | 0.757609i | ||||
\(528\) | 6.02524 | + | 2.13944i | 0.262215 | + | 0.0931074i | ||||
\(529\) | −2.11361 | + | 1.53562i | −0.0918959 | + | 0.0667663i | ||||
\(530\) | −3.91373 | − | 3.26690i | −0.170002 | − | 0.141905i | ||||
\(531\) | 6.58759 | − | 1.04337i | 0.285877 | − | 0.0452785i | ||||
\(532\) | −3.08879 | + | 0.957649i | −0.133916 | + | 0.0415194i | ||||
\(533\) | 6.43237 | + | 40.6124i | 0.278617 | + | 1.75912i | ||||
\(534\) | 16.6362 | + | 10.3500i | 0.719917 | + | 0.447887i | ||||
\(535\) | −9.32699 | + | 13.3374i | −0.403241 | + | 0.576627i | ||||
\(536\) | 17.7543 | + | 7.77946i | 0.766871 | + | 0.336022i | ||||
\(537\) | 20.8281 | + | 6.76747i | 0.898800 | + | 0.292038i | ||||
\(538\) | 2.61187 | − | 4.19822i | 0.112605 | − | 0.180998i | ||||
\(539\) | 5.01337 | − | 9.83929i | 0.215941 | − | 0.423808i | ||||
\(540\) | −3.41005 | + | 22.1813i | −0.146745 | + | 0.954530i | ||||
\(541\) | −4.61091 | − | 9.04943i | −0.198239 | − | 0.389065i | 0.770392 | − | 0.637571i | \(-0.220061\pi\) |
−0.968630 | + | 0.248505i | \(0.920061\pi\) | |||||||
\(542\) | 0.838357 | − | 9.80468i | 0.0360105 | − | 0.421147i | ||||
\(543\) | −25.3033 | −1.08587 | ||||||||
\(544\) | 10.2413 | − | 5.80932i | 0.439092 | − | 0.249072i | ||||
\(545\) | −5.80288 | + | 4.37827i | −0.248568 | + | 0.187544i | ||||
\(546\) | 1.15070 | + | 0.485773i | 0.0492454 | + | 0.0207892i | ||||
\(547\) | 4.94296 | − | 31.2087i | 0.211346 | − | 1.33439i | −0.622600 | − | 0.782540i | \(-0.713924\pi\) |
0.833946 | − | 0.551846i | \(-0.186076\pi\) | |||||||
\(548\) | −5.68201 | + | 32.9830i | −0.242724 | + | 1.40896i | ||||
\(549\) | 12.8741 | + | 12.8741i | 0.549453 | + | 0.549453i | ||||
\(550\) | 7.54371 | + | 8.32487i | 0.321665 | + | 0.354974i | ||||
\(551\) | 13.8936i | 0.591887i | ||||||||
\(552\) | −5.15668 | + | 11.7686i | −0.219483 | + | 0.500905i | ||||
\(553\) | −1.12367 | − | 1.54660i | −0.0477833 | − | 0.0657681i | ||||
\(554\) | −3.44734 | − | 8.48435i | −0.146463 | − | 0.360465i | ||||
\(555\) | −13.8273 | + | 7.36278i | −0.586935 | + | 0.312532i | ||||
\(556\) | 13.7913 | + | 4.68810i | 0.584883 | + | 0.198820i | ||||
\(557\) | −27.6812 | + | 27.6812i | −1.17289 | + | 1.17289i | −0.191374 | + | 0.981517i | \(0.561294\pi\) |
−0.981517 | + | 0.191374i | \(0.938706\pi\) | |||||||
\(558\) | 24.6088 | + | 2.10419i | 1.04177 | + | 0.0890776i | ||||
\(559\) | 14.6934 | − | 45.2216i | 0.621464 | − | 1.91267i | ||||
\(560\) | −1.78012 | + | 0.886973i | −0.0752236 | + | 0.0374814i | ||||
\(561\) | 1.02811 | + | 3.16420i | 0.0434068 | + | 0.133592i | ||||
\(562\) | −3.92648 | − | 16.8560i | −0.165629 | − | 0.711029i | ||||
\(563\) | −16.5228 | − | 32.4279i | −0.696355 | − | 1.36667i | −0.919967 | − | 0.391995i | \(-0.871785\pi\) |
0.223612 | − | 0.974678i | \(-0.428215\pi\) | |||||||
\(564\) | 8.04217 | − | 5.67849i | 0.338636 | − | 0.239108i | ||||
\(565\) | −4.77902 | − | 0.668713i | −0.201055 | − | 0.0281330i | ||||
\(566\) | −18.3997 | − | 11.4471i | −0.773395 | − | 0.481157i | ||||
\(567\) | −0.119545 | + | 0.164540i | −0.00502043 | + | 0.00691003i | ||||
\(568\) | 0.368578 | + | 6.31882i | 0.0154652 | + | 0.265132i | ||||
\(569\) | 22.1688 | − | 30.5127i | 0.929363 | − | 1.27916i | −0.0307451 | − | 0.999527i | \(-0.509788\pi\) |
0.960108 | − | 0.279631i | \(-0.0902120\pi\) | |||||||
\(570\) | 11.8643 | − | 19.8610i | 0.496942 | − | 0.831887i | ||||
\(571\) | −44.4715 | − | 7.04359i | −1.86107 | − | 0.294765i | −0.878095 | − | 0.478487i | \(-0.841185\pi\) |
−0.982978 | + | 0.183722i | \(0.941185\pi\) | |||||||
\(572\) | −1.79477 | − | 12.4156i | −0.0750429 | − | 0.519123i | ||||
\(573\) | 13.2456 | + | 6.74896i | 0.553342 | + | 0.281942i | ||||
\(574\) | 1.69241 | + | 2.80412i | 0.0706396 | + | 0.117042i | ||||
\(575\) | −17.7736 | + | 13.9207i | −0.741208 | + | 0.580535i | ||||
\(576\) | 1.84888 | + | 15.7944i | 0.0770366 | + | 0.658102i | ||||
\(577\) | −7.59180 | − | 23.3651i | −0.316051 | − | 0.972704i | −0.975320 | − | 0.220797i | \(-0.929134\pi\) |
0.659269 | − | 0.751907i | \(-0.270866\pi\) | |||||||
\(578\) | −16.5045 | − | 6.96743i | −0.686496 | − | 0.289807i | ||||
\(579\) | −2.13414 | + | 13.4744i | −0.0886917 | + | 0.559978i | ||||
\(580\) | 1.37498 | + | 8.43338i | 0.0570930 | + | 0.350177i | ||||
\(581\) | 0.323136 | + | 2.04020i | 0.0134059 | + | 0.0846417i | ||||
\(582\) | −10.6863 | − | 2.64207i | −0.442963 | − | 0.109517i | ||||
\(583\) | 1.50551 | − | 2.07216i | 0.0623521 | − | 0.0858202i | ||||
\(584\) | 15.1918 | + | 3.97463i | 0.628640 | + | 0.164472i | ||||
\(585\) | 16.5882 | − | 5.72297i | 0.685839 | − | 0.236616i | ||||
\(586\) | −5.52468 | + | 0.397251i | −0.228222 | + | 0.0164103i | ||||
\(587\) | −8.78899 | + | 4.47822i | −0.362761 | + | 0.184836i | −0.625865 | − | 0.779932i | \(-0.715254\pi\) |
0.263104 | + | 0.964767i | \(0.415254\pi\) | |||||||
\(588\) | −13.9845 | − | 0.189040i | −0.576710 | − | 0.00779590i | ||||
\(589\) | −56.9245 | − | 29.0045i | −2.34553 | − | 1.19511i | ||||
\(590\) | −10.5866 | − | 0.712944i | −0.435842 | − | 0.0293514i | ||||
\(591\) | 2.34924 | − | 7.23023i | 0.0966349 | − | 0.297412i | ||||
\(592\) | −20.2206 | + | 19.1558i | −0.831060 | + | 0.787299i | ||||
\(593\) | −21.3730 | −0.877685 | −0.438843 | − | 0.898564i | \(-0.644611\pi\) | ||||
−0.438843 | + | 0.898564i | \(0.644611\pi\) | |||||||
\(594\) | −11.2342 | − | 0.960586i | −0.460943 | − | 0.0394133i | ||||
\(595\) | −0.930438 | − | 0.453111i | −0.0381442 | − | 0.0185758i | ||||
\(596\) | −2.42460 | + | 3.24404i | −0.0993155 | + | 0.132881i | ||||
\(597\) | 12.7297 | + | 2.01619i | 0.520992 | + | 0.0825170i | ||||
\(598\) | 25.1445 | − | 1.80801i | 1.02823 | − | 0.0739349i | ||||
\(599\) | − | 37.8560i | − | 1.54676i | −0.633945 | − | 0.773378i | \(-0.718566\pi\) | ||
0.633945 | − | 0.773378i | \(-0.281434\pi\) | |||||||
\(600\) | 5.23608 | − | 13.2297i | 0.213762 | − | 0.540102i | ||||
\(601\) | 19.2262i | 0.784252i | 0.919912 | + | 0.392126i | \(0.128260\pi\) | ||||
−0.919912 | + | 0.392126i | \(0.871740\pi\) | |||||||
\(602\) | −0.271634 | − | 3.77769i | −0.0110710 | − | 0.153967i | ||||
\(603\) | −13.4551 | − | 2.13108i | −0.547933 | − | 0.0867841i | ||||
\(604\) | 22.2951 | − | 3.22291i | 0.907173 | − | 0.131138i | ||||
\(605\) | 13.1572 | − | 13.6412i | 0.534918 | − | 0.554592i | ||||
\(606\) | 1.93845 | − | 22.6704i | 0.0787441 | − | 0.920920i | ||||
\(607\) | −38.6420 | −1.56843 | −0.784214 | − | 0.620490i | \(-0.786934\pi\) | ||||
−0.784214 | + | 0.620490i | \(0.786934\pi\) | |||||||
\(608\) | 10.9486 | − | 39.6507i | 0.444023 | − | 1.60805i | ||||
\(609\) | 0.132087 | − | 0.406522i | 0.00535243 | − | 0.0164731i | ||||
\(610\) | −15.4118 | − | 24.5235i | −0.624005 | − | 0.992929i | ||||
\(611\) | −17.2104 | − | 8.76914i | −0.696258 | − | 0.354761i | ||||
\(612\) | −5.92971 | + | 5.77154i | −0.239694 | + | 0.233301i | ||||
\(613\) | −3.13511 | + | 1.59742i | −0.126626 | + | 0.0645192i | −0.516156 | − | 0.856495i | \(-0.672637\pi\) |
0.389530 | + | 0.921014i | \(0.372637\pi\) | |||||||
\(614\) | 3.19091 | + | 44.3768i | 0.128775 | + | 1.79090i | ||||
\(615\) | −22.4115 | − | 6.83712i | −0.903718 | − | 0.275699i | ||||
\(616\) | −0.504716 | − | 0.862395i | −0.0203356 | − | 0.0347469i | ||||
\(617\) | 19.2426 | − | 26.4851i | 0.774676 | − | 1.06625i | −0.221173 | − | 0.975235i | \(-0.570989\pi\) |
0.995849 | − | 0.0910161i | \(-0.0290115\pi\) | |||||||
\(618\) | −1.82202 | + | 7.36949i | −0.0732925 | + | 0.296444i | ||||
\(619\) | 7.30745 | + | 46.1374i | 0.293711 | + | 1.85442i | 0.487164 | + | 0.873311i | \(0.338031\pi\) |
−0.193453 | + | 0.981110i | \(0.561969\pi\) | |||||||
\(620\) | −37.4235 | − | 11.9721i | −1.50296 | − | 0.480812i | ||||
\(621\) | 3.54452 | − | 22.3792i | 0.142237 | − | 0.898048i | ||||
\(622\) | 1.60065 | − | 3.79163i | 0.0641804 | − | 0.152031i | ||||
\(623\) | −0.946212 | − | 2.91214i | −0.0379092 | − | 0.116673i | ||||
\(624\) | −13.1012 | + | 8.98772i | −0.524467 | + | 0.359797i | ||||
\(625\) | 19.1123 | − | 16.1158i | 0.764494 | − | 0.644631i | ||||
\(626\) | −15.5574 | + | 9.38958i | −0.621801 | + | 0.375283i | ||||
\(627\) | 10.3565 | + | 5.27689i | 0.413598 | + | 0.210738i | ||||
\(628\) | 34.8089 | + | 26.0162i | 1.38903 | + | 1.03816i | ||||
\(629\) | −14.3152 | − | 2.26730i | −0.570784 | − | 0.0904032i | ||||
\(630\) | 1.05253 | − | 0.919710i | 0.0419338 | − | 0.0366421i | ||||
\(631\) | 13.4712 | − | 18.5414i | 0.536278 | − | 0.738123i | −0.451793 | − | 0.892123i | \(-0.649215\pi\) |
0.988071 | + | 0.153999i | \(0.0492154\pi\) | |||||||
\(632\) | 24.2756 | − | 1.41600i | 0.965632 | − | 0.0563255i | ||||
\(633\) | −7.54536 | + | 10.3853i | −0.299901 | + | 0.412779i | ||||
\(634\) | −15.0385 | + | 24.1724i | −0.597255 | + | 0.960007i | ||||
\(635\) | 0.422763 | − | 0.225114i | 0.0167768 | − | 0.00893337i | ||||
\(636\) | −3.19682 | − | 0.550720i | −0.126762 | − | 0.0218375i | ||||
\(637\) | 12.4575 | + | 24.4493i | 0.493585 | + | 0.968716i | ||||
\(638\) | −4.18108 | + | 0.973949i | −0.165530 | + | 0.0385590i | ||||
\(639\) | −1.37461 | − | 4.23062i | −0.0543788 | − | 0.167361i | ||||
\(640\) | 2.72172 | − | 25.1514i | 0.107585 | − | 0.994196i | ||||
\(641\) | 12.4278 | − | 38.2487i | 0.490867 | − | 1.51073i | −0.332434 | − | 0.943127i | \(-0.607870\pi\) |
0.823300 | − | 0.567606i | \(-0.192130\pi\) | |||||||
\(642\) | −0.882275 | + | 10.3183i | −0.0348206 | + | 0.407231i | ||||
\(643\) | −3.27447 | + | 3.27447i | −0.129132 | + | 0.129132i | −0.768719 | − | 0.639587i | \(-0.779106\pi\) |
0.639587 | + | 0.768719i | \(0.279106\pi\) | |||||||
\(644\) | 1.80132 | − | 0.887357i | 0.0709820 | − | 0.0349668i | ||||
\(645\) | 19.5021 | + | 18.8103i | 0.767894 | + | 0.740653i | ||||
\(646\) | 19.8300 | − | 8.05728i | 0.780202 | − | 0.317010i | ||||
\(647\) | −28.4770 | − | 39.1952i | −1.11954 | − | 1.54092i | −0.806550 | − | 0.591166i | \(-0.798668\pi\) |
−0.312995 | − | 0.949755i | \(-0.601332\pi\) | |||||||
\(648\) | −0.941352 | − | 2.40968i | −0.0369798 | − | 0.0946613i | ||||
\(649\) | − | 5.33090i | − | 0.209256i | ||||||
\(650\) | −27.7535 | + | 3.00607i | −1.08858 | + | 0.117908i | ||||
\(651\) | 1.38984 | + | 1.38984i | 0.0544722 | + | 0.0544722i | ||||
\(652\) | 0.631782 | − | 0.446095i | 0.0247425 | − | 0.0174704i | ||||
\(653\) | 6.35930 | − | 40.1510i | 0.248859 | − | 1.57123i | −0.474183 | − | 0.880426i | \(-0.657256\pi\) |
0.723041 | − | 0.690805i | \(-0.242744\pi\) | |||||||
\(654\) | −1.79894 | + | 4.26134i | −0.0703442 | + | 0.166632i | ||||
\(655\) | 1.17591 | + | 3.40842i | 0.0459466 | + | 0.133178i | ||||
\(656\) | −41.6461 | − | 1.12614i | −1.62601 | − | 0.0439684i | ||||
\(657\) | −11.0360 | −0.430554 | ||||||||
\(658\) | −1.53297 | − | 0.131078i | −0.0597616 | − | 0.00510996i | ||||
\(659\) | −3.24092 | − | 6.36067i | −0.126248 | − | 0.247777i | 0.819227 | − | 0.573469i | \(-0.194403\pi\) |
−0.945476 | + | 0.325692i | \(0.894403\pi\) | |||||||
\(660\) | 6.80858 | + | 2.17813i | 0.265024 | + | 0.0847835i | ||||
\(661\) | −17.1679 | + | 33.6940i | −0.667755 | + | 1.31054i | 0.269870 | + | 0.962897i | \(0.413019\pi\) |
−0.937626 | + | 0.347647i | \(0.886981\pi\) | |||||||
\(662\) | −11.5587 | − | 7.19106i | −0.449240 | − | 0.279489i | ||||
\(663\) | −7.86259 | − | 2.55471i | −0.305358 | − | 0.0992167i | ||||
\(664\) | −24.0659 | − | 10.5450i | −0.933939 | − | 0.409226i | ||||
\(665\) | −3.41785 | + | 1.17916i | −0.132539 | + | 0.0457260i | ||||
\(666\) | 10.3405 | − | 16.6210i | 0.400688 | − | 0.644051i | ||||
\(667\) | −1.34958 | − | 8.52089i | −0.0522558 | − | 0.329930i | ||||
\(668\) | −9.28515 | − | 4.89022i | −0.359253 | − | 0.189208i | ||||
\(669\) | 4.12467 | − | 0.653283i | 0.159469 | − | 0.0252574i | ||||
\(670\) | 20.1146 | + | 8.06676i | 0.777096 | + | 0.311646i | ||||
\(671\) | 11.7729 | − | 8.55351i | 0.454488 | − | 0.330204i | ||||
\(672\) | −0.697311 | + | 1.05608i | −0.0268993 | + | 0.0407390i | ||||
\(673\) | −10.0046 | − | 30.7909i | −0.385647 | − | 1.18690i | −0.936009 | − | 0.351975i | \(-0.885510\pi\) |
0.550362 | − | 0.834926i | \(-0.314490\pi\) | |||||||
\(674\) | 1.19515 | + | 1.98023i | 0.0460356 | + | 0.0762756i | ||||
\(675\) | −3.02779 | + | 24.9074i | −0.116540 | + | 0.958687i | ||||
\(676\) | 4.57592 | + | 2.41001i | 0.175997 | + | 0.0926925i | ||||
\(677\) | −2.25860 | + | 4.43275i | −0.0868050 | + | 0.170364i | −0.930328 | − | 0.366729i | \(-0.880478\pi\) |
0.843523 | + | 0.537093i | \(0.180478\pi\) | |||||||
\(678\) | −2.84469 | + | 1.15585i | −0.109250 | + | 0.0443901i | ||||
\(679\) | 1.01120 | + | 1.39180i | 0.0388063 | + | 0.0534123i | ||||
\(680\) | 11.2394 | − | 6.85323i | 0.431011 | − | 0.262809i | ||||
\(681\) | 1.96428 | − | 2.70361i | 0.0752716 | − | 0.103602i | ||||
\(682\) | 4.73803 | − | 19.1638i | 0.181429 | − | 0.733820i | ||||
\(683\) | −1.47601 | − | 9.31914i | −0.0564778 | − | 0.356587i | −0.999702 | − | 0.0244289i | \(-0.992223\pi\) |
0.943224 | − | 0.332158i | \(-0.107777\pi\) | |||||||
\(684\) | −0.390751 | + | 28.9062i | −0.0149407 | + | 1.10526i | ||||
\(685\) | −5.18544 | + | 37.0582i | −0.198125 | + | 1.41592i | ||||
\(686\) | 3.31654 | + | 2.87158i | 0.126626 | + | 0.109638i | ||||
\(687\) | −4.01429 | + | 12.3547i | −0.153155 | + | 0.471362i | ||||
\(688\) | 42.3185 | + | 23.0239i | 1.61338 | + | 0.877778i | ||||
\(689\) | 1.96676 | + | 6.05306i | 0.0749275 | + | 0.230603i | ||||
\(690\) | −5.34712 | + | 13.3331i | −0.203561 | + | 0.507584i | ||||
\(691\) | 16.4461 | + | 32.2772i | 0.625638 | + | 1.22788i | 0.958550 | + | 0.284925i | \(0.0919687\pi\) |
−0.332912 | + | 0.942958i | \(0.608031\pi\) | |||||||
\(692\) | 4.61824 | − | 13.5858i | 0.175559 | − | 0.516456i | ||||
\(693\) | 0.496564 | + | 0.496564i | 0.0188629 | + | 0.0188629i | ||||
\(694\) | 13.5295 | − | 11.3981i | 0.513574 | − | 0.432665i | ||||
\(695\) | 15.5770 | + | 4.75210i | 0.590868 | + | 0.180257i | ||||
\(696\) | 3.44655 | + | 4.20512i | 0.130641 | + | 0.159395i | ||||
\(697\) | −12.7423 | − | 17.5383i | −0.482651 | − | 0.664312i | ||||
\(698\) | 2.04341 | + | 28.4183i | 0.0773444 | + | 1.07565i | ||||
\(699\) | 18.4888 | + | 18.4888i | 0.699310 | + | 0.699310i | ||||
\(700\) | −1.95793 | + | 1.05400i | −0.0740029 | + | 0.0398374i | ||||
\(701\) | 14.1146 | − | 14.1146i | 0.533099 | − | 0.533099i | −0.388394 | − | 0.921493i | \(-0.626970\pi\) |
0.921493 | + | 0.388394i | \(0.126970\pi\) | |||||||
\(702\) | 18.3393 | − | 21.1810i | 0.692172 | − | 0.799425i | ||||
\(703\) | −40.9646 | + | 29.7625i | −1.54501 | + | 1.12251i | ||||
\(704\) | 12.6998 | + | 0.515274i | 0.478641 | + | 0.0194201i | ||||
\(705\) | 8.78652 | − | 6.62942i | 0.330920 | − | 0.249678i | ||||
\(706\) | 2.40307 | − | 28.1042i | 0.0904409 | − | 1.05772i | ||||
\(707\) | −2.51438 | + | 2.51438i | −0.0945631 | + | 0.0945631i | ||||
\(708\) | −6.05655 | + | 2.98355i | −0.227619 | + | 0.112129i | ||||
\(709\) | 3.33483 | − | 1.69918i | 0.125242 | − | 0.0638140i | −0.390247 | − | 0.920710i | \(-0.627610\pi\) |
0.515489 | + | 0.856896i | \(0.327610\pi\) | |||||||
\(710\) | 0.634890 | + | 7.04812i | 0.0238270 | + | 0.264511i | ||||
\(711\) | −16.2532 | + | 5.28098i | −0.609542 | + | 0.198052i | ||||
\(712\) | 37.6805 | + | 9.85838i | 1.41214 | + | 0.369458i | ||||
\(713\) | 37.7289 | + | 12.2589i | 1.41296 | + | 0.459099i | ||||
\(714\) | −0.656820 | + | 0.0472285i | −0.0245809 | + | 0.00176748i | ||||
\(715\) | −2.44380 | − | 13.8108i | −0.0913929 | − | 0.516495i | ||||
\(716\) | 43.5310 | + | 0.588446i | 1.62683 | + | 0.0219913i | ||||
\(717\) | −13.5570 | + | 2.14722i | −0.506296 | + | 0.0801894i | ||||
\(718\) | 31.1097 | − | 18.7760i | 1.16100 | − | 0.700714i | ||||
\(719\) | −5.21026 | − | 3.78548i | −0.194310 | − | 0.141175i | 0.486376 | − | 0.873749i | \(-0.338318\pi\) |
−0.680686 | + | 0.732575i | \(0.738318\pi\) | |||||||
\(720\) | 2.62352 | + | 17.5847i | 0.0977728 | + | 0.655342i | ||||
\(721\) | 0.959809 | − | 0.697342i | 0.0357452 | − | 0.0259704i | ||||
\(722\) | 18.6325 | − | 44.1368i | 0.693431 | − | 1.64260i | ||||
\(723\) | 16.3754 | + | 8.34368i | 0.609007 | + | 0.310305i | ||||
\(724\) | −48.0441 | + | 14.8956i | −1.78555 | + | 0.553591i | ||||
\(725\) | 1.83415 | + | 9.37558i | 0.0681187 | + | 0.348200i | ||||
\(726\) | 2.89443 | − | 11.7070i | 0.107422 | − | 0.434489i | ||||
\(727\) | 42.6487 | − | 13.8574i | 1.58175 | − | 0.513942i | 0.619244 | − | 0.785199i | \(-0.287439\pi\) |
0.962507 | + | 0.271256i | \(0.0874391\pi\) | |||||||
\(728\) | 2.47084 | + | 0.244955i | 0.0915754 | + | 0.00907863i | ||||
\(729\) | −7.83399 | − | 10.7826i | −0.290148 | − | 0.399354i | ||||
\(730\) | 17.1167 | + | 3.90539i | 0.633518 | + | 0.144545i | ||||
\(731\) | 3.92160 | + | 24.7600i | 0.145046 | + | 0.915782i | ||||
\(732\) | −16.3068 | − | 8.58830i | −0.602715 | − | 0.317433i | ||||
\(733\) | −49.6484 | + | 7.86354i | −1.83381 | + | 0.290446i | −0.975058 | − | 0.221950i | \(-0.928758\pi\) |
−0.858749 | + | 0.512397i | \(0.828758\pi\) | |||||||
\(734\) | −5.66020 | + | 1.31850i | −0.208922 | + | 0.0486667i | ||||
\(735\) | −15.6340 | + | 0.282312i | −0.576668 | + | 0.0104132i | ||||
\(736\) | −2.86317 | + | 25.3811i | −0.105538 | + | 0.935560i | ||||
\(737\) | −3.36467 | + | 10.3554i | −0.123939 | + | 0.381446i | ||||
\(738\) | 28.5157 | − | 6.64250i | 1.04968 | − | 0.244514i | ||||
\(739\) | −16.3357 | − | 8.32346i | −0.600919 | − | 0.306183i | 0.126940 | − | 0.991910i | \(-0.459484\pi\) |
−0.727859 | + | 0.685727i | \(0.759484\pi\) | |||||||
\(740\) | −21.9199 | + | 22.1198i | −0.805793 | + | 0.813141i | ||||
\(741\) | −25.7344 | + | 13.1123i | −0.945377 | + | 0.481693i | ||||
\(742\) | 0.326632 | + | 0.387713i | 0.0119911 | + | 0.0142334i | ||||
\(743\) | 47.2584i | 1.73374i | 0.498532 | + | 0.866871i | \(0.333873\pi\) | ||||
−0.498532 | + | 0.866871i | \(0.666127\pi\) | |||||||
\(744\) | −24.4242 | + | 5.34243i | −0.895433 | + | 0.195863i | ||||
\(745\) | −2.59494 | + | 3.71071i | −0.0950713 | + | 0.135950i | ||||
\(746\) | 2.69627 | + | 6.63588i | 0.0987175 | + | 0.242957i | ||||
\(747\) | 18.2383 | + | 2.88866i | 0.667305 | + | 0.105691i | ||||
\(748\) | 3.81481 | + | 5.40273i | 0.139483 | + | 0.197543i | ||||
\(749\) | 1.14441 | − | 1.14441i | 0.0418158 | − | 0.0418158i | ||||
\(750\) | 5.38427 | − | 14.9687i | 0.196606 | − | 0.546581i | ||||
\(751\) | −25.0772 | −0.915081 | −0.457541 | − | 0.889189i | \(-0.651270\pi\) | ||||
−0.457541 | + | 0.889189i | \(0.651270\pi\) | |||||||
\(752\) | 11.9271 | − | 15.5162i | 0.434936 | − | 0.565819i | ||||
\(753\) | −0.563296 | + | 0.409259i | −0.0205277 | + | 0.0149142i | ||||
\(754\) | 4.14881 | − | 9.82771i | 0.151091 | − | 0.357904i | ||||
\(755\) | 24.8005 | − | 4.38840i | 0.902582 | − | 0.159710i | ||||
\(756\) | 0.718252 | − | 2.11294i | 0.0261226 | − | 0.0768467i | ||||
\(757\) | 10.5988 | + | 10.5988i | 0.385222 | + | 0.385222i | 0.872979 | − | 0.487758i | \(-0.162185\pi\) |
−0.487758 | + | 0.872979i | \(0.662185\pi\) | |||||||
\(758\) | 28.1312 | − | 23.6994i | 1.02177 | − | 0.860801i | ||||
\(759\) | −6.86416 | − | 2.23030i | −0.249153 | − | 0.0809548i | ||||
\(760\) | 10.8353 | − | 44.6951i | 0.393039 | − | 1.62126i | ||||
\(761\) | −24.7159 | + | 8.03067i | −0.895950 | + | 0.291112i | −0.720564 | − | 0.693388i | \(-0.756117\pi\) |
−0.175385 | + | 0.984500i | \(0.556117\pi\) | |||||||
\(762\) | 0.160993 | − | 0.258774i | 0.00583215 | − | 0.00937440i | ||||
\(763\) | 0.644088 | − | 0.328179i | 0.0233176 | − | 0.0118809i | ||||
\(764\) | 29.1228 | + | 5.01702i | 1.05363 | + | 0.181509i | ||||
\(765\) | −6.42262 | + | 6.65884i | −0.232210 | + | 0.240751i | ||||
\(766\) | 44.3755 | − | 10.3369i | 1.60335 | − | 0.373488i | ||||
\(767\) | 10.7167 | + | 7.78613i | 0.386957 | + | 0.281141i | ||||
\(768\) | −6.52228 | − | 14.7169i | −0.235352 | − | 0.531050i | ||||
\(769\) | 38.5821 | + | 28.0316i | 1.39131 | + | 1.01084i | 0.995720 | + | 0.0924160i | \(0.0294590\pi\) |
0.395587 | + | 0.918428i | \(0.370541\pi\) | |||||||
\(770\) | −0.594446 | − | 0.945893i | −0.0214223 | − | 0.0340876i | ||||
\(771\) | 2.90127 | − | 18.3179i | 0.104487 | − | 0.659702i | ||||
\(772\) | 3.88000 | + | 26.8406i | 0.139644 | + | 0.966016i | ||||
\(773\) | −5.63155 | + | 11.0525i | −0.202553 | + | 0.397532i | −0.969830 | − | 0.243784i | \(-0.921611\pi\) |
0.767277 | + | 0.641316i | \(0.221611\pi\) | |||||||
\(774\) | −32.8681 | − | 8.12626i | −1.18142 | − | 0.292092i | ||||
\(775\) | −42.2424 | − | 12.0578i | −1.51739 | − | 0.433127i | ||||
\(776\) | −21.8458 | + | 1.27427i | −0.784220 | + | 0.0457437i | ||||
\(777\) | 1.48156 | − | 0.481388i | 0.0531507 | − | 0.0172697i | ||||
\(778\) | −2.36465 | − | 5.81972i | −0.0847769 | − | 0.208647i | ||||
\(779\) | −74.8039 | − | 11.8478i | −2.68013 | − | 0.424491i | ||||
\(780\) | −14.3231 | + | 10.5060i | −0.512848 | + | 0.376174i | ||||
\(781\) | −3.51166 | + | 0.556192i | −0.125657 | + | 0.0199021i | ||||
\(782\) | −11.3790 | + | 6.86772i | −0.406913 | + | 0.245589i | ||||
\(783\) | −7.75685 | − | 5.63568i | −0.277207 | − | 0.201403i | ||||
\(784\) | −26.6641 | + | 7.87349i | −0.952288 | + | 0.281196i | ||||
\(785\) | 39.8163 | + | 27.8440i | 1.42111 | + | 0.993794i | ||||
\(786\) | 1.73445 | + | 1.50175i | 0.0618656 | + | 0.0535656i | ||||
\(787\) | 24.1553 | + | 47.4074i | 0.861042 | + | 1.68989i | 0.713293 | + | 0.700866i | \(0.247203\pi\) |
0.147749 | + | 0.989025i | \(0.452797\pi\) | |||||||
\(788\) | 0.204272 | − | 15.1112i | 0.00727688 | − | 0.538315i | ||||
\(789\) | 3.05374 | − | 5.99331i | 0.108716 | − | 0.213367i | ||||
\(790\) | 27.0774 | − | 2.43912i | 0.963372 | − | 0.0867799i | ||||
\(791\) | 0.456382 | + | 0.148288i | 0.0162271 | + | 0.00527250i | ||||
\(792\) | −8.72629 | + | 1.90875i | −0.310075 | + | 0.0678245i | ||||
\(793\) | 36.1599i | 1.28408i | ||||||||
\(794\) | 5.47331 | + | 6.49683i | 0.194240 | + | 0.230564i | ||||
\(795\) | −3.59181 | − | 0.502590i | −0.127388 | − | 0.0178250i | ||||
\(796\) | 25.3572 | − | 3.66556i | 0.898762 | − | 0.129922i | ||||
\(797\) | 3.11726 | − | 19.6816i | 0.110419 | − | 0.697159i | −0.868923 | − | 0.494948i | \(-0.835187\pi\) |
0.979342 | − | 0.202211i | \(-0.0648128\pi\) | |||||||
\(798\) | −1.50590 | + | 1.73925i | −0.0533084 | + | 0.0615687i | ||||
\(799\) | 10.1836 | 0.360270 | ||||||||
\(800\) | 2.15378 | − | 28.2021i | 0.0761475 | − | 0.997097i | ||||
\(801\) | −27.3728 | −0.967169 | ||||||||
\(802\) | −36.1927 | + | 41.8008i | −1.27801 | + | 1.47604i | ||||
\(803\) | −1.37986 | + | 8.71212i | −0.0486944 | + | 0.307444i | ||||
\(804\) | 13.6481 | − | 1.97293i | 0.481331 | − | 0.0695798i | ||||
\(805\) | 1.98162 | − | 1.05518i | 0.0698428 | − | 0.0371900i | ||||
\(806\) | 31.6047 | + | 37.5148i | 1.11323 | + | 1.32140i | ||||
\(807\) | − | 3.51749i | − | 0.123822i | ||||||
\(808\) | −9.66507 | − | 44.1861i | −0.340016 | − | 1.55446i | ||||
\(809\) | −8.48903 | − | 2.75825i | −0.298459 | − | 0.0969751i | 0.155960 | − | 0.987763i | \(-0.450153\pi\) |
−0.454418 | + | 0.890788i | \(0.650153\pi\) | |||||||
\(810\) | −1.13699 | − | 2.65954i | −0.0399496 | − | 0.0934468i | ||||
\(811\) | −11.3179 | + | 22.2125i | −0.397424 | + | 0.779988i | −0.999834 | − | 0.0181984i | \(-0.994207\pi\) |
0.602411 | + | 0.798186i | \(0.294207\pi\) | |||||||
\(812\) | 0.0114852 | − | 0.849633i | 0.000403053 | − | 0.0298163i | ||||
\(813\) | −3.17821 | − | 6.23759i | −0.111465 | − | 0.218762i | ||||
\(814\) | −11.8282 | − | 10.2413i | −0.414579 | − | 0.358958i | ||||
\(815\) | 0.690257 | − | 0.520798i | 0.0241787 | − | 0.0182428i | ||||
\(816\) | 4.00312 | − | 7.35784i | 0.140137 | − | 0.257576i | ||||
\(817\) | 70.8537 | + | 51.4782i | 2.47886 | + | 1.80099i | ||||
\(818\) | 15.4634 | − | 9.33280i | 0.540664 | − | 0.326314i | ||||
\(819\) | −1.72351 | + | 0.272977i | −0.0602242 | + | 0.00953857i | ||||
\(820\) | −46.5783 | + | 0.211398i | −1.62659 | + | 0.00738235i | ||||
\(821\) | 40.0672 | + | 6.34603i | 1.39836 | + | 0.221478i | 0.809671 | − | 0.586885i | \(-0.199646\pi\) |
0.588685 | + | 0.808362i | \(0.299646\pi\) | |||||||
\(822\) | 8.96286 | + | 22.0588i | 0.312616 | + | 0.769387i | ||||
\(823\) | −34.7142 | + | 11.2793i | −1.21006 | + | 0.393172i | −0.843453 | − | 0.537203i | \(-0.819481\pi\) |
−0.366607 | + | 0.930376i | \(0.619481\pi\) | |||||||
\(824\) | 0.878762 | + | 15.0653i | 0.0306131 | + | 0.524824i | ||||
\(825\) | 7.68530 | + | 2.19371i | 0.267568 | + | 0.0763752i | ||||
\(826\) | 1.02430 | + | 0.253246i | 0.0356399 | + | 0.00881155i | ||||
\(827\) | −6.55804 | + | 12.8709i | −0.228045 | + | 0.447564i | −0.976469 | − | 0.215656i | \(-0.930811\pi\) |
0.748424 | + | 0.663221i | \(0.230811\pi\) | |||||||
\(828\) | −2.56820 | − | 17.7660i | −0.0892512 | − | 0.617412i | ||||
\(829\) | −1.95638 | + | 12.3521i | −0.0679479 | + | 0.429006i | 0.930140 | + | 0.367204i | \(0.119685\pi\) |
−0.998088 | + | 0.0618024i | \(0.980315\pi\) | |||||||
\(830\) | −27.2653 | − | 10.9345i | −0.946392 | − | 0.379540i | ||||
\(831\) | −5.27081 | − | 3.82947i | −0.182842 | − | 0.132843i | ||||
\(832\) | −19.5847 | + | 24.7777i | −0.678978 | + | 0.859013i | ||||
\(833\) | −11.7040 | − | 8.50346i | −0.405520 | − | 0.294627i | ||||
\(834\) | 10.0925 | − | 2.35097i | 0.349474 | − | 0.0814073i | ||||
\(835\) | −10.5485 | − | 5.13700i | −0.365047 | − | 0.177773i | ||||
\(836\) | 22.7706 | + | 3.92271i | 0.787537 | + | 0.135670i | ||||
\(837\) | 39.2837 | − | 20.0160i | 1.35784 | − | 0.691855i | ||||
\(838\) | 10.7962 | − | 17.3535i | 0.372950 | − | 0.599466i | ||||
\(839\) | −6.01184 | + | 1.95336i | −0.207552 | + | 0.0674376i | −0.410948 | − | 0.911659i | \(-0.634802\pi\) |
0.203396 | + | 0.979097i | \(0.434802\pi\) | |||||||
\(840\) | −0.741956 | + | 1.20475i | −0.0255999 | + | 0.0415678i | ||||
\(841\) | 24.1087 | + | 7.83339i | 0.831334 | + | 0.270117i | ||||
\(842\) | 5.33053 | − | 4.49075i | 0.183702 | − | 0.154762i | ||||
\(843\) | −8.70634 | − | 8.70634i | −0.299862 | − | 0.299862i | ||||
\(844\) | −8.21297 | + | 24.1607i | −0.282702 | + | 0.831647i | ||||
\(845\) | 5.19854 | + | 2.53162i | 0.178835 | + | 0.0870905i | ||||
\(846\) | −5.34919 | + | 12.6712i | −0.183909 | + | 0.435644i | ||||
\(847\) | −1.52474 | + | 1.10779i | −0.0523906 | + | 0.0380640i | ||||
\(848\) | −6.39411 | + | 0.836245i | −0.219575 | + | 0.0287168i | ||||
\(849\) | −15.4162 | −0.529083 | ||||||||
\(850\) | 12.3179 | − | 8.05500i | 0.422500 | − | 0.276284i | ||||
\(851\) | 22.2324 | − | 22.2324i | 0.762116 | − | 0.762116i | ||||
\(852\) | 2.59727 | + | 3.67838i | 0.0889810 | + | 0.126019i | ||||
\(853\) | −41.9131 | − | 6.63839i | −1.43508 | − | 0.227294i | −0.610040 | − | 0.792370i | \(-0.708847\pi\) |
−0.825039 | + | 0.565076i | \(0.808847\pi\) | |||||||
\(854\) | 1.08423 | + | 2.66842i | 0.0371014 | + | 0.0913114i | ||||
\(855\) | 0.583544 | + | 32.3158i | 0.0199568 | + | 1.10518i | ||||
\(856\) | 4.39901 | + | 20.1111i | 0.150355 | + | 0.687383i | ||||
\(857\) | − | 24.1067i | − | 0.823469i | −0.911304 | − | 0.411735i | \(-0.864923\pi\) | ||
0.911304 | − | 0.411735i | \(-0.135077\pi\) | |||||||
\(858\) | −5.74996 | − | 6.82520i | −0.196300 | − | 0.233009i | ||||
\(859\) | −21.6499 | + | 11.0312i | −0.738686 | + | 0.376379i | −0.782492 | − | 0.622661i | \(-0.786052\pi\) |
0.0438061 | + | 0.999040i | \(0.486052\pi\) | |||||||
\(860\) | 48.1025 | + | 24.2351i | 1.64028 | + | 0.826410i | ||||
\(861\) | 2.07610 | + | 1.05782i | 0.0707532 | + | 0.0360506i | ||||
\(862\) | −8.45617 | + | 1.96980i | −0.288018 | + | 0.0670916i | ||||
\(863\) | 3.54001 | − | 10.8950i | 0.120503 | − | 0.370871i | −0.872552 | − | 0.488522i | \(-0.837536\pi\) |
0.993055 | + | 0.117651i | \(0.0375363\pi\) | |||||||
\(864\) | 17.6960 | + | 22.1962i | 0.602031 | + | 0.755129i | ||||
\(865\) | 4.68129 | − | 15.3448i | 0.159168 | − | 0.521740i | ||||
\(866\) | −7.45713 | + | 1.73708i | −0.253403 | + | 0.0590284i | ||||
\(867\) | −12.5880 | + | 1.99374i | −0.427509 | + | 0.0677108i | ||||
\(868\) | 3.45712 | + | 1.82076i | 0.117342 | + | 0.0618007i | ||||
\(869\) | 2.13677 | + | 13.4911i | 0.0724851 | + | 0.457653i | ||||
\(870\) | 3.99985 | + | 4.57748i | 0.135608 | + | 0.155191i | ||||
\(871\) | −15.9031 | − | 21.8887i | −0.538855 | − | 0.741671i | ||||
\(872\) | −0.907131 | + | 9.15015i | −0.0307193 | + | 0.309863i | ||||
\(873\) | 14.6264 | − | 4.75240i | 0.495028 | − | 0.160844i | ||||
\(874\) | −11.1445 | + | 45.0758i | −0.376968 | + | 1.52471i | ||||
\(875\) | −2.15075 | + | 1.24692i | −0.0727085 | + | 0.0421536i | ||||
\(876\) | 10.6703 | − | 3.30822i | 0.360516 | − | 0.111774i | ||||
\(877\) | 34.9678 | + | 17.8170i | 1.18078 | + | 0.601637i | 0.930412 | − | 0.366514i | \(-0.119449\pi\) |
0.250367 | + | 0.968151i | \(0.419449\pi\) | |||||||
\(878\) | 13.1420 | − | 31.1309i | 0.443522 | − | 1.05062i | ||||
\(879\) | −3.18791 | + | 2.31615i | −0.107525 | + | 0.0781218i | ||||
\(880\) | 14.2099 | + | 0.127587i | 0.479016 | + | 0.00430097i | ||||
\(881\) | 5.54659 | + | 4.02983i | 0.186869 | + | 0.135769i | 0.677287 | − | 0.735719i | \(-0.263156\pi\) |
−0.490417 | + | 0.871488i | \(0.663156\pi\) | |||||||
\(882\) | 16.7284 | − | 10.0963i | 0.563275 | − | 0.339961i | ||||
\(883\) | 8.57317 | − | 1.35786i | 0.288510 | − | 0.0456955i | −0.0105019 | − | 0.999945i | \(-0.503343\pi\) |
0.299012 | + | 0.954249i | \(0.403343\pi\) | |||||||
\(884\) | −16.4329 | − | 0.222138i | −0.552697 | − | 0.00747130i | ||||
\(885\) | −6.66276 | + | 3.54780i | −0.223966 | + | 0.119258i | ||||
\(886\) | −14.3663 | + | 1.03301i | −0.482645 | + | 0.0347045i | ||||
\(887\) | −12.3928 | − | 4.02667i | −0.416110 | − | 0.135202i | 0.0934771 | − | 0.995621i | \(-0.470202\pi\) |
−0.509587 | + | 0.860419i | \(0.670202\pi\) | |||||||
\(888\) | −5.01548 | + | 19.1701i | −0.168308 | + | 0.643305i | ||||
\(889\) | −0.0452981 | + | 0.0147183i | −0.00151925 | + | 0.000493634i | ||||
\(890\) | 42.4550 | + | 9.68664i | 1.42310 | + | 0.324697i | ||||
\(891\) | 1.29479 | − | 0.659731i | 0.0433772 | − | 0.0221018i | ||||
\(892\) | 7.44707 | − | 3.66853i | 0.249346 | − | 0.122832i | ||||
\(893\) | 25.1571 | − | 25.1571i | 0.841850 | − | 0.841850i | ||||
\(894\) | −0.245465 | + | 2.87074i | −0.00820958 | + | 0.0960120i | ||||
\(895\) | 48.6656 | − | 0.878782i | 1.62671 | − | 0.0293744i | ||||
\(896\) | −0.702313 | + | 2.41570i | −0.0234626 | + | 0.0807029i | ||||
\(897\) | 14.5091 | − | 10.5415i | 0.484445 | − | 0.351970i | ||||
\(898\) | 4.32726 | − | 4.99778i | 0.144403 | − | 0.166778i | ||||
\(899\) | 11.8701 | − | 11.8701i | 0.395891 | − | 0.395891i | ||||
\(900\) | 3.55234 | + | 19.5579i | 0.118411 | + | 0.651929i | ||||
\(901\) | −2.37271 | − | 2.37271i | −0.0790465 | − | 0.0790465i | ||||
\(902\) | −1.67838 | − | 23.3417i | −0.0558839 | − | 0.777193i | ||||
\(903\) | −1.58375 | − | 2.17984i | −0.0527038 | − | 0.0725406i | ||||
\(904\) | −4.72088 | + | 3.86927i | −0.157014 | + | 0.128690i | ||||
\(905\) | −53.1625 | + | 18.3411i | −1.76718 | + | 0.609680i | ||||
\(906\) | 12.2562 | − | 10.3254i | 0.407185 | − | 0.343037i | ||||
\(907\) | 22.0504 | + | 22.0504i | 0.732170 | + | 0.732170i | 0.971049 | − | 0.238879i | \(-0.0767800\pi\) |
−0.238879 | + | 0.971049i | \(0.576780\pi\) | |||||||
\(908\) | 2.13808 | − | 6.28977i | 0.0709548 | − | 0.208733i | ||||
\(909\) | 14.4313 | + | 28.3230i | 0.478656 | + | 0.939416i | ||||
\(910\) | 2.76975 | + | 0.186527i | 0.0918163 | + | 0.00618331i | ||||
\(911\) | −16.6209 | − | 51.1537i | −0.550674 | − | 1.69480i | −0.707103 | − | 0.707110i | \(-0.749998\pi\) |
0.156430 | − | 0.987689i | \(-0.450002\pi\) | |||||||
\(912\) | −8.28733 | − | 28.0656i | −0.274421 | − | 0.929344i | ||||
\(913\) | 4.56080 | − | 14.0367i | 0.150940 | − | 0.464547i | ||||
\(914\) | 23.3465 | + | 20.2143i | 0.772233 | + | 0.668628i | ||||
\(915\) | −18.5255 | − | 9.02170i | −0.612435 | − | 0.298248i | ||||
\(916\) | −0.349051 | + | 25.8214i | −0.0115330 | + | 0.853164i | ||||
\(917\) | −0.0560890 | − | 0.354132i | −0.00185222 | − | 0.0116945i | ||||
\(918\) | −3.54527 | + | 14.3395i | −0.117011 | + | 0.473273i | ||||
\(919\) | 27.9739 | − | 38.5028i | 0.922774 | − | 1.27009i | −0.0398378 | − | 0.999206i | \(-0.512684\pi\) |
0.962612 | − | 0.270884i | \(-0.0873159\pi\) | |||||||
\(920\) | −2.30375 | + | 28.4638i | −0.0759522 | + | 0.938425i | ||||
\(921\) | 18.6044 | + | 25.6068i | 0.613036 | + | 0.843772i | ||||
\(922\) | −33.8316 | + | 13.7464i | −1.11418 | + | 0.452712i | ||||
\(923\) | 4.01089 | − | 7.87182i | 0.132020 | − | 0.259104i | ||||
\(924\) | −0.628965 | − | 0.331258i | −0.0206914 | − | 0.0108976i | ||||
\(925\) | −23.7143 | + | 25.4920i | −0.779723 | + | 0.838172i | ||||
\(926\) | −16.3874 | − | 27.1521i | −0.538524 | − | 0.892272i | ||||
\(927\) | −3.27734 | − | 10.0866i | −0.107642 | − | 0.331288i | ||||
\(928\) | 9.01956 | + | 5.95548i | 0.296081 | + | 0.195498i | ||||
\(929\) | 0.340871 | − | 0.247657i | 0.0111836 | − | 0.00812537i | −0.582179 | − | 0.813060i | \(-0.697800\pi\) |
0.593363 | + | 0.804935i | \(0.297800\pi\) | |||||||
\(930\) | −27.1049 | + | 6.83205i | −0.888804 | + | 0.224032i | ||||
\(931\) | −49.9196 | + | 7.90648i | −1.63605 | + | 0.259124i | ||||
\(932\) | 45.9893 | + | 24.2212i | 1.50643 | + | 0.793393i | ||||
\(933\) | −0.458028 | − | 2.89188i | −0.0149952 | − | 0.0946758i | ||||
\(934\) | 31.7649 | − | 51.0578i | 1.03938 | − | 1.67066i | ||||
\(935\) | 4.45365 | + | 5.90279i | 0.145650 | + | 0.193042i | ||||
\(936\) | 8.90816 | − | 20.3303i | 0.291172 | − | 0.664516i | ||||
\(937\) | 11.5852 | + | 3.76425i | 0.378471 | + | 0.122973i | 0.492074 | − | 0.870554i | \(-0.336239\pi\) |
−0.113602 | + | 0.993526i | \(0.536239\pi\) | |||||||
\(938\) | −1.82988 | − | 1.13843i | −0.0597477 | − | 0.0371712i | ||||
\(939\) | −5.86888 | + | 11.5183i | −0.191524 | + | 0.375886i | ||||
\(940\) | 12.7806 | − | 17.7600i | 0.416858 | − | 0.579266i | ||||
\(941\) | −15.2059 | − | 29.8432i | −0.495698 | − | 0.972862i | −0.994359 | − | 0.106065i | \(-0.966175\pi\) |
0.498661 | − | 0.866797i | \(-0.333825\pi\) | |||||||
\(942\) | 30.8034 | + | 2.63387i | 1.00363 | + | 0.0858160i | ||||
\(943\) | 47.0278 | 1.53144 | ||||||||
\(944\) | −9.74341 | + | 9.23035i | −0.317121 | + | 0.300422i | ||||
\(945\) | 0.728057 | − | 2.38651i | 0.0236837 | − | 0.0776331i | ||||
\(946\) | −10.5247 | + | 24.9310i | −0.342188 | + | 0.810577i | ||||
\(947\) | −3.60971 | + | 22.7908i | −0.117300 | + | 0.740603i | 0.856995 | + | 0.515325i | \(0.172329\pi\) |
−0.974295 | + | 0.225278i | \(0.927671\pi\) | |||||||
\(948\) | 14.1316 | − | 9.97818i | 0.458973 | − | 0.324076i | ||||
\(949\) | −15.4986 | − | 15.4986i | −0.503104 | − | 0.503104i | ||||
\(950\) | 10.5308 | − | 50.3282i | 0.341664 | − | 1.63286i | ||||
\(951\) | 20.2529i | 0.656745i | ||||||||
\(952\) | −1.21932 | + | 0.476333i | −0.0395185 | + | 0.0154380i | ||||
\(953\) | −8.30991 | − | 11.4376i | −0.269184 | − | 0.370500i | 0.652930 | − | 0.757418i | \(-0.273540\pi\) |
−0.922114 | + | 0.386918i | \(0.873540\pi\) | |||||||
\(954\) | 4.19862 | − | 1.70597i | 0.135935 | − | 0.0552330i | ||||
\(955\) | 32.7211 | + | 4.57856i | 1.05883 | + | 0.148159i | ||||
\(956\) | −24.4771 | + | 12.0578i | −0.791647 | + | 0.389977i | ||||
\(957\) | −2.15958 | + | 2.15958i | −0.0698092 | + | 0.0698092i | ||||
\(958\) | −2.20434 | + | 25.7800i | −0.0712191 | + | 0.832916i | ||||
\(959\) | 1.14987 | − | 3.53895i | 0.0371314 | − | 0.114279i | ||||
\(960\) | −7.80790 | − | 16.2156i | −0.251999 | − | 0.523356i | ||||
\(961\) | 14.2742 | + | 43.9315i | 0.460458 | + | 1.41715i | ||||
\(962\) | 37.8640 | − | 8.82011i | 1.22078 | − | 0.284372i | ||||
\(963\) | −6.56834 | − | 12.8911i | −0.211662 | − | 0.415410i | ||||
\(964\) | 36.0043 | + | 6.20250i | 1.15962 | + | 0.199769i | ||||
\(965\) | 5.28311 | + | 29.8569i | 0.170069 | + | 0.961126i | ||||
\(966\) | 0.754621 | − | 1.21295i | 0.0242795 | − | 0.0390261i | ||||
\(967\) | 8.24040 | − | 11.3419i | 0.264993 | − | 0.364732i | −0.655698 | − | 0.755023i | \(-0.727626\pi\) |
0.920692 | + | 0.390291i | \(0.127626\pi\) | |||||||
\(968\) | −1.39599 | − | 23.9324i | −0.0448687 | − | 0.769218i | ||||
\(969\) | 8.95042 | − | 12.3192i | 0.287529 | − | 0.395750i | ||||
\(970\) | −24.3672 | + | 2.19498i | −0.782385 | + | 0.0704767i | ||||
\(971\) | −19.0618 | − | 3.01909i | −0.611722 | − | 0.0968873i | −0.157116 | − | 0.987580i | \(-0.550220\pi\) |
−0.454606 | + | 0.890693i | \(0.650220\pi\) | |||||||
\(972\) | −25.5914 | − | 19.1270i | −0.820844 | − | 0.613500i | ||||
\(973\) | −1.44298 | − | 0.735234i | −0.0462598 | − | 0.0235705i | ||||
\(974\) | −6.92463 | + | 4.17931i | −0.221879 | + | 0.133914i | ||||
\(975\) | −15.6349 | + | 12.2457i | −0.500717 | + | 0.392175i | ||||
\(976\) | −36.0180 | − | 6.70736i | −1.15291 | − | 0.214697i | ||||
\(977\) | −1.05156 | − | 3.23638i | −0.0336425 | − | 0.103541i | 0.932825 | − | 0.360329i | \(-0.117336\pi\) |
−0.966468 | + | 0.256788i | \(0.917336\pi\) | |||||||
\(978\) | 0.213986 | − | 0.506890i | 0.00684250 | − | 0.0162086i | ||||
\(979\) | −3.42251 | + | 21.6089i | −0.109384 | + | 0.690623i | ||||
\(980\) | −29.5186 | + | 9.73950i | −0.942936 | + | 0.311117i | ||||
\(981\) | −1.01090 | − | 6.38259i | −0.0322756 | − | 0.203780i | ||||
\(982\) | −6.53793 | + | 26.4438i | −0.208634 | + | 0.843856i | ||||
\(983\) | 25.8503 | − | 35.5799i | 0.824496 | − | 1.13482i | −0.164426 | − | 0.986389i | \(-0.552577\pi\) |
0.988923 | − | 0.148432i | \(-0.0474227\pi\) | |||||||
\(984\) | −25.5796 | + | 14.9705i | −0.815449 | + | 0.477241i | ||||
\(985\) | −0.305058 | − | 16.8937i | −0.00971996 | − | 0.538277i | ||||
\(986\) | 0.403361 | + | 5.60966i | 0.0128456 | + | 0.178648i | ||||
\(987\) | −0.975257 | + | 0.496918i | −0.0310428 | + | 0.0158171i | ||||
\(988\) | −41.1437 | + | 40.0462i | −1.30896 | + | 1.27404i | ||||
\(989\) | −48.4547 | − | 24.6889i | −1.54077 | − | 0.785061i | ||||
\(990\) | −9.68406 | + | 2.44096i | −0.307780 | + | 0.0775789i | ||||
\(991\) | 11.4021 | − | 35.0920i | 0.362199 | − | 1.11474i | −0.589517 | − | 0.807756i | \(-0.700682\pi\) |
0.951716 | − | 0.306979i | \(-0.0993182\pi\) | |||||||
\(992\) | −43.2299 | + | 24.5219i | −1.37255 | + | 0.778572i | ||||
\(993\) | −9.68446 | −0.307327 | ||||||||
\(994\) | 0.0599535 | − | 0.701163i | 0.00190161 | − | 0.0222395i | ||||
\(995\) | 28.2067 | − | 4.99112i | 0.894213 | − | 0.158229i | ||||
\(996\) | −18.4999 | + | 2.67430i | −0.586193 | + | 0.0847383i | ||||
\(997\) | −22.9127 | − | 3.62901i | −0.725652 | − | 0.114932i | −0.217329 | − | 0.976098i | \(-0.569734\pi\) |
−0.508323 | + | 0.861167i | \(0.669734\pi\) | |||||||
\(998\) | −1.88958 | − | 26.2789i | −0.0598135 | − | 0.831843i | ||||
\(999\) | − | 34.9433i | − | 1.10556i |
(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 | 400.2.be.a.181.43 | yes | 464 | |
16.13 | even | 4 | inner | 400.2.be.a.381.4 | yes | 464 | |
25.21 | even | 5 | inner | 400.2.be.a.21.4 | ✓ | 464 | |
400.221 | even | 20 | inner | 400.2.be.a.221.43 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.be.a.21.4 | ✓ | 464 | 25.21 | even | 5 | inner | |
400.2.be.a.181.43 | yes | 464 | 1.1 | even | 1 | trivial | |
400.2.be.a.221.43 | yes | 464 | 400.221 | even | 20 | inner | |
400.2.be.a.381.4 | yes | 464 | 16.13 | even | 4 | inner |