Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [465,2,Mod(76,465)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(465, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("465.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 465 = 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 465.bg (of order \(15\), 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: | \(3.71304369399\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 361.6 | ||
Character | \(\chi\) | \(=\) | 465.361 |
Dual form | 465.2.bg.c.76.6 |
$q$-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 \(\left(\mathbb{Z}/465\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(406\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.863191 | + | 2.65663i | 0.610369 | + | 1.87852i | 0.454509 | + | 0.890742i | \(0.349815\pi\) |
0.155859 | + | 0.987779i | \(0.450185\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −4.69455 | + | 3.41079i | −2.34728 | + | 1.70540i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | −1.39667 | + | 2.41911i | −0.570189 | + | 0.987597i | ||||
\(7\) | 0.217892 | + | 2.07310i | 0.0823554 | + | 0.783559i | 0.955280 | + | 0.295704i | \(0.0955541\pi\) |
−0.872924 | + | 0.487856i | \(0.837779\pi\) | |||||||
\(8\) | −8.59378 | − | 6.24374i | −3.03836 | − | 2.20750i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −1.86911 | + | 2.07586i | −0.591066 | + | 0.656445i | ||||
\(11\) | −0.221024 | − | 0.0984060i | −0.0666411 | − | 0.0296705i | 0.373145 | − | 0.927773i | \(-0.378279\pi\) |
−0.439787 | + | 0.898102i | \(0.644946\pi\) | |||||||
\(12\) | −5.67598 | − | 1.20647i | −1.63851 | − | 0.348277i | ||||
\(13\) | 5.89916 | − | 1.25391i | 1.63613 | − | 0.347771i | 0.704088 | − | 0.710113i | \(-0.251356\pi\) |
0.932045 | + | 0.362342i | \(0.118023\pi\) | |||||||
\(14\) | −5.31938 | + | 2.36834i | −1.42167 | + | 0.632966i | ||||
\(15\) | −0.309017 | + | 0.951057i | −0.0797878 | + | 0.245562i | ||||
\(16\) | 5.58293 | − | 17.1825i | 1.39573 | − | 4.29562i | ||||
\(17\) | 3.73506 | − | 1.66296i | 0.905885 | − | 0.403326i | 0.0997190 | − | 0.995016i | \(-0.468206\pi\) |
0.806166 | + | 0.591690i | \(0.201539\pi\) | |||||||
\(18\) | −2.73230 | + | 0.580769i | −0.644010 | + | 0.136889i | ||||
\(19\) | −5.99568 | − | 1.27442i | −1.37550 | − | 0.292372i | −0.539911 | − | 0.841722i | \(-0.681542\pi\) |
−0.835593 | + | 0.549350i | \(0.814875\pi\) | |||||||
\(20\) | −5.30111 | − | 2.36020i | −1.18536 | − | 0.527758i | ||||
\(21\) | −1.39482 | + | 1.54910i | −0.304374 | + | 0.338042i | ||||
\(22\) | 0.0706428 | − | 0.672121i | 0.0150611 | − | 0.143297i | ||||
\(23\) | 3.35565 | + | 2.43802i | 0.699701 | + | 0.508363i | 0.879835 | − | 0.475280i | \(-0.157653\pi\) |
−0.180134 | + | 0.983642i | \(0.557653\pi\) | |||||||
\(24\) | −1.11035 | − | 10.5643i | −0.226650 | − | 2.15643i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 8.42327 | + | 14.5895i | 1.65194 | + | 2.86124i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −8.09382 | − | 8.98910i | −1.52959 | − | 1.69878i | ||||
\(29\) | 0.0933165 | + | 0.287199i | 0.0173284 | + | 0.0533315i | 0.959347 | − | 0.282230i | \(-0.0910741\pi\) |
−0.942018 | + | 0.335561i | \(0.891074\pi\) | |||||||
\(30\) | −2.79335 | −0.509993 | ||||||||
\(31\) | −5.34927 | − | 1.54444i | −0.960757 | − | 0.277390i | ||||
\(32\) | 29.2216 | 5.16571 | ||||||||
\(33\) | −0.0747637 | − | 0.230099i | −0.0130147 | − | 0.0400551i | ||||
\(34\) | 7.64193 | + | 8.48722i | 1.31058 | + | 1.45555i | ||||
\(35\) | −1.68641 | + | 1.22525i | −0.285056 | + | 0.207105i | ||||
\(36\) | −2.90139 | − | 5.02536i | −0.483565 | − | 0.837560i | ||||
\(37\) | −1.81399 | + | 3.14192i | −0.298218 | + | 0.516528i | −0.975728 | − | 0.218985i | \(-0.929725\pi\) |
0.677511 | + | 0.735513i | \(0.263059\pi\) | |||||||
\(38\) | −1.78975 | − | 17.0284i | −0.290337 | − | 2.76237i | ||||
\(39\) | 4.87914 | + | 3.54490i | 0.781288 | + | 0.567639i | ||||
\(40\) | 1.11035 | − | 10.5643i | 0.175562 | − | 1.67036i | ||||
\(41\) | 1.00273 | − | 1.11364i | 0.156599 | − | 0.173921i | −0.659740 | − | 0.751494i | \(-0.729333\pi\) |
0.816339 | + | 0.577573i | \(0.196000\pi\) | |||||||
\(42\) | −5.31938 | − | 2.36834i | −0.820799 | − | 0.365443i | ||||
\(43\) | −4.65960 | − | 0.990430i | −0.710583 | − | 0.151039i | −0.161580 | − | 0.986860i | \(-0.551659\pi\) |
−0.549003 | + | 0.835820i | \(0.684992\pi\) | |||||||
\(44\) | 1.37325 | − | 0.291893i | 0.207025 | − | 0.0440045i | ||||
\(45\) | −0.913545 | + | 0.406737i | −0.136183 | + | 0.0606327i | ||||
\(46\) | −3.58035 | + | 11.0192i | −0.527894 | + | 1.62469i | ||||
\(47\) | 0.282199 | − | 0.868520i | 0.0411630 | − | 0.126687i | −0.928363 | − | 0.371674i | \(-0.878784\pi\) |
0.969526 | + | 0.244987i | \(0.0787839\pi\) | |||||||
\(48\) | 16.5048 | − | 7.34840i | 2.38226 | − | 1.06065i | ||||
\(49\) | 2.59676 | − | 0.551958i | 0.370965 | − | 0.0788511i | ||||
\(50\) | −2.73230 | − | 0.580769i | −0.386406 | − | 0.0821332i | ||||
\(51\) | 3.73506 | + | 1.66296i | 0.523013 | + | 0.232860i | ||||
\(52\) | −23.4171 | + | 26.0073i | −3.24737 | + | 3.60657i | ||||
\(53\) | −0.974765 | + | 9.27427i | −0.133894 | + | 1.27392i | 0.696831 | + | 0.717236i | \(0.254593\pi\) |
−0.830725 | + | 0.556683i | \(0.812074\pi\) | |||||||
\(54\) | −2.25986 | − | 1.64189i | −0.307529 | − | 0.223433i | ||||
\(55\) | −0.0252897 | − | 0.240615i | −0.00341006 | − | 0.0324445i | ||||
\(56\) | 11.0714 | − | 19.1762i | 1.47948 | − | 2.56253i | ||||
\(57\) | −3.06481 | − | 5.30841i | −0.405945 | − | 0.703117i | ||||
\(58\) | −0.682431 | + | 0.495815i | −0.0896075 | + | 0.0651037i | ||||
\(59\) | 6.93049 | + | 7.69709i | 0.902273 | + | 1.00208i | 0.999976 | + | 0.00685990i | \(0.00218359\pi\) |
−0.0977037 | + | 0.995216i | \(0.531150\pi\) | |||||||
\(60\) | −1.79316 | − | 5.51877i | −0.231496 | − | 0.712471i | ||||
\(61\) | 12.0137 | 1.53819 | 0.769097 | − | 0.639132i | \(-0.220706\pi\) | ||||
0.769097 | + | 0.639132i | \(0.220706\pi\) | |||||||
\(62\) | −0.514438 | − | 15.5442i | −0.0653337 | − | 1.97411i | ||||
\(63\) | −2.08452 | −0.262625 | ||||||||
\(64\) | 14.0580 | + | 43.2661i | 1.75725 | + | 5.40827i | ||||
\(65\) | 4.03549 | + | 4.48187i | 0.500541 | + | 0.555908i | ||||
\(66\) | 0.546753 | − | 0.397239i | 0.0673006 | − | 0.0488967i | ||||
\(67\) | −4.18241 | − | 7.24414i | −0.510962 | − | 0.885013i | −0.999919 | − | 0.0127047i | \(-0.995956\pi\) |
0.488957 | − | 0.872308i | \(-0.337377\pi\) | |||||||
\(68\) | −11.8624 | + | 20.5463i | −1.43853 | + | 2.49161i | ||||
\(69\) | 0.433564 | + | 4.12509i | 0.0521950 | + | 0.496602i | ||||
\(70\) | −4.71074 | − | 3.42255i | −0.563041 | − | 0.409073i | ||||
\(71\) | −0.425363 | + | 4.04706i | −0.0504813 | + | 0.480298i | 0.939851 | + | 0.341584i | \(0.110963\pi\) |
−0.990333 | + | 0.138714i | \(0.955703\pi\) | |||||||
\(72\) | 7.10783 | − | 7.89405i | 0.837666 | − | 0.930323i | ||||
\(73\) | −5.94760 | − | 2.64804i | −0.696114 | − | 0.309930i | 0.0280023 | − | 0.999608i | \(-0.491085\pi\) |
−0.724116 | + | 0.689678i | \(0.757752\pi\) | |||||||
\(74\) | −9.91273 | − | 2.10702i | −1.15233 | − | 0.244936i | ||||
\(75\) | −0.978148 | + | 0.207912i | −0.112947 | + | 0.0240076i | ||||
\(76\) | 32.4938 | − | 14.4672i | 3.72730 | − | 1.65950i | ||||
\(77\) | 0.155847 | − | 0.479646i | 0.0177604 | − | 0.0546608i | ||||
\(78\) | −5.20587 | + | 16.0220i | −0.589448 | + | 1.81414i | ||||
\(79\) | −0.456107 | + | 0.203072i | −0.0513160 | + | 0.0228474i | −0.432234 | − | 0.901761i | \(-0.642275\pi\) |
0.380918 | + | 0.924609i | \(0.375608\pi\) | |||||||
\(80\) | 17.6719 | − | 3.75628i | 1.97578 | − | 0.419965i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 3.82407 | + | 1.70259i | 0.422298 | + | 0.188019i | ||||
\(83\) | 7.58303 | − | 8.42180i | 0.832345 | − | 0.924413i | −0.165746 | − | 0.986168i | \(-0.553003\pi\) |
0.998091 | + | 0.0617554i | \(0.0196699\pi\) | |||||||
\(84\) | 1.26438 | − | 12.0298i | 0.137955 | − | 1.31255i | ||||
\(85\) | 3.30769 | + | 2.40318i | 0.358769 | + | 0.260661i | ||||
\(86\) | −1.39093 | − | 13.2338i | −0.149987 | − | 1.42703i | ||||
\(87\) | −0.150989 | + | 0.261521i | −0.0161878 | + | 0.0280380i | ||||
\(88\) | 1.28500 | + | 2.22569i | 0.136982 | + | 0.237260i | ||||
\(89\) | 11.0539 | − | 8.03113i | 1.17171 | − | 0.851298i | 0.180499 | − | 0.983575i | \(-0.442229\pi\) |
0.991213 | + | 0.132277i | \(0.0422287\pi\) | |||||||
\(90\) | −1.86911 | − | 2.07586i | −0.197022 | − | 0.218815i | ||||
\(91\) | 3.88485 | + | 11.9564i | 0.407243 | + | 1.25337i | ||||
\(92\) | −24.0688 | −2.50935 | ||||||||
\(93\) | −2.43162 | − | 5.00872i | −0.252147 | − | 0.519380i | ||||
\(94\) | 2.55093 | 0.263108 | ||||||||
\(95\) | −1.89416 | − | 5.82962i | −0.194337 | − | 0.598107i | ||||
\(96\) | 19.5531 | + | 21.7159i | 1.99563 | + | 2.21637i | ||||
\(97\) | −13.7142 | + | 9.96396i | −1.39247 | + | 1.01169i | −0.396877 | + | 0.917872i | \(0.629906\pi\) |
−0.995590 | + | 0.0938149i | \(0.970094\pi\) | |||||||
\(98\) | 3.70784 | + | 6.42218i | 0.374549 | + | 0.648738i | ||||
\(99\) | 0.120970 | − | 0.209527i | 0.0121580 | − | 0.0210582i | ||||
\(100\) | −0.606556 | − | 5.77100i | −0.0606556 | − | 0.577100i | ||||
\(101\) | −5.84514 | − | 4.24675i | −0.581613 | − | 0.422567i | 0.257692 | − | 0.966227i | \(-0.417038\pi\) |
−0.839305 | + | 0.543660i | \(0.817038\pi\) | |||||||
\(102\) | −1.19379 | + | 11.3581i | −0.118202 | + | 1.12462i | ||||
\(103\) | 9.04933 | − | 10.0503i | 0.891657 | − | 0.990286i | −0.108335 | − | 0.994114i | \(-0.534552\pi\) |
0.999993 | + | 0.00382850i | \(0.00121865\pi\) | |||||||
\(104\) | −58.5251 | − | 26.0571i | −5.73886 | − | 2.55511i | ||||
\(105\) | −2.03897 | − | 0.433396i | −0.198983 | − | 0.0422952i | ||||
\(106\) | −25.4797 | + | 5.41588i | −2.47481 | + | 0.526037i | ||||
\(107\) | 0.289207 | − | 0.128763i | 0.0279587 | − | 0.0124480i | −0.392710 | − | 0.919663i | \(-0.628462\pi\) |
0.420668 | + | 0.907214i | \(0.361796\pi\) | |||||||
\(108\) | 1.79316 | − | 5.51877i | 0.172547 | − | 0.531044i | ||||
\(109\) | −5.08667 | + | 15.6552i | −0.487215 | + | 1.49949i | 0.341532 | + | 0.939870i | \(0.389054\pi\) |
−0.828747 | + | 0.559624i | \(0.810946\pi\) | |||||||
\(110\) | 0.617395 | − | 0.274882i | 0.0588663 | − | 0.0262090i | ||||
\(111\) | −3.54869 | + | 0.754298i | −0.336827 | + | 0.0715948i | ||||
\(112\) | 36.8375 | + | 7.83006i | 3.48082 | + | 0.739871i | ||||
\(113\) | 1.36216 | + | 0.606473i | 0.128141 | + | 0.0570522i | 0.469806 | − | 0.882770i | \(-0.344324\pi\) |
−0.341664 | + | 0.939822i | \(0.610991\pi\) | |||||||
\(114\) | 11.4570 | − | 12.7243i | 1.07304 | − | 1.19174i | ||||
\(115\) | −0.433564 | + | 4.12509i | −0.0404301 | + | 0.384666i | ||||
\(116\) | −1.41765 | − | 1.02999i | −0.131626 | − | 0.0956318i | ||||
\(117\) | 0.630406 | + | 5.99791i | 0.0582811 | + | 0.554507i | ||||
\(118\) | −14.4660 | + | 25.0558i | −1.33170 | + | 2.30657i | ||||
\(119\) | 4.26132 | + | 7.38081i | 0.390634 | + | 0.676598i | ||||
\(120\) | 8.59378 | − | 6.24374i | 0.784501 | − | 0.569973i | ||||
\(121\) | −7.32127 | − | 8.13109i | −0.665570 | − | 0.739190i | ||||
\(122\) | 10.3701 | + | 31.9159i | 0.938865 | + | 2.88953i | ||||
\(123\) | 1.49855 | 0.135120 | ||||||||
\(124\) | 30.3802 | − | 10.9948i | 2.72822 | − | 0.987361i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −1.79934 | − | 5.53780i | −0.160298 | − | 0.493347i | ||||
\(127\) | −10.9613 | − | 12.1738i | −0.972661 | − | 1.08025i | −0.996751 | − | 0.0805401i | \(-0.974335\pi\) |
0.0240900 | − | 0.999710i | \(-0.492331\pi\) | |||||||
\(128\) | −55.5258 | + | 40.3418i | −4.90783 | + | 3.56575i | ||||
\(129\) | −2.38185 | − | 4.12549i | −0.209710 | − | 0.363229i | ||||
\(130\) | −8.42327 | + | 14.5895i | −0.738770 | + | 1.27959i | ||||
\(131\) | −0.594889 | − | 5.65999i | −0.0519757 | − | 0.494515i | −0.989283 | − | 0.146011i | \(-0.953356\pi\) |
0.937307 | − | 0.348504i | \(-0.113310\pi\) | |||||||
\(132\) | 1.13580 | + | 0.825208i | 0.0988588 | + | 0.0718251i | ||||
\(133\) | 1.33560 | − | 12.7073i | 0.115811 | − | 1.10187i | ||||
\(134\) | 15.6348 | − | 17.3642i | 1.35064 | − | 1.50004i | ||||
\(135\) | −0.913545 | − | 0.406737i | −0.0786255 | − | 0.0350063i | ||||
\(136\) | −42.4813 | − | 9.02968i | −3.64274 | − | 0.774289i | ||||
\(137\) | 8.54308 | − | 1.81589i | 0.729885 | − | 0.155142i | 0.172043 | − | 0.985089i | \(-0.444963\pi\) |
0.557841 | + | 0.829948i | \(0.311630\pi\) | |||||||
\(138\) | −10.5846 | + | 4.71256i | −0.901020 | + | 0.401160i | ||||
\(139\) | 2.43903 | − | 7.50656i | 0.206876 | − | 0.636698i | −0.792756 | − | 0.609540i | \(-0.791354\pi\) |
0.999631 | − | 0.0271580i | \(-0.00864572\pi\) | |||||||
\(140\) | 3.73788 | − | 11.5040i | 0.315908 | − | 0.972266i | ||||
\(141\) | 0.834264 | − | 0.371438i | 0.0702577 | − | 0.0312808i | ||||
\(142\) | −11.1187 | + | 2.36335i | −0.933061 | + | 0.198328i | ||||
\(143\) | −1.42725 | − | 0.303370i | −0.119352 | − | 0.0253691i | ||||
\(144\) | 16.5048 | + | 7.34840i | 1.37540 | + | 0.612367i | ||||
\(145\) | −0.202063 | + | 0.224414i | −0.0167804 | + | 0.0186366i | ||||
\(146\) | 1.90095 | − | 18.0863i | 0.157324 | − | 1.49684i | ||||
\(147\) | 2.14775 | + | 1.56043i | 0.177144 | + | 0.128702i | ||||
\(148\) | −2.20057 | − | 20.9370i | −0.180886 | − | 1.72101i | ||||
\(149\) | 9.64300 | − | 16.7022i | 0.789986 | − | 1.36830i | −0.135989 | − | 0.990710i | \(-0.543421\pi\) |
0.925975 | − | 0.377585i | \(-0.123245\pi\) | |||||||
\(150\) | −1.39667 | − | 2.41911i | −0.114038 | − | 0.197519i | ||||
\(151\) | −6.02666 | + | 4.37863i | −0.490443 | + | 0.356328i | −0.805355 | − | 0.592793i | \(-0.798025\pi\) |
0.314912 | + | 0.949121i | \(0.398025\pi\) | |||||||
\(152\) | 43.5684 | + | 48.3876i | 3.53386 | + | 3.92475i | ||||
\(153\) | 1.26343 | + | 3.88842i | 0.102142 | + | 0.314360i | ||||
\(154\) | 1.40877 | 0.113522 | ||||||||
\(155\) | −1.33711 | − | 5.40483i | −0.107399 | − | 0.434126i | ||||
\(156\) | −34.9963 | −2.80195 | ||||||||
\(157\) | −2.09906 | − | 6.46024i | −0.167523 | − | 0.515584i | 0.831690 | − | 0.555240i | \(-0.187374\pi\) |
−0.999213 | + | 0.0396565i | \(0.987374\pi\) | |||||||
\(158\) | −0.933194 | − | 1.03642i | −0.0742410 | − | 0.0824529i | ||||
\(159\) | −7.54437 | + | 5.48131i | −0.598307 | + | 0.434696i | ||||
\(160\) | 14.6108 | + | 25.3067i | 1.15509 | + | 2.00067i | ||||
\(161\) | −4.32310 | + | 7.48783i | −0.340708 | + | 0.590124i | ||||
\(162\) | −0.291984 | − | 2.77804i | −0.0229404 | − | 0.218264i | ||||
\(163\) | −3.88524 | − | 2.82279i | −0.304316 | − | 0.221098i | 0.425138 | − | 0.905129i | \(-0.360226\pi\) |
−0.729454 | + | 0.684030i | \(0.760226\pi\) | |||||||
\(164\) | −0.908955 | + | 8.64813i | −0.0709774 | + | 0.675305i | ||||
\(165\) | 0.161890 | − | 0.179797i | 0.0126031 | − | 0.0139972i | ||||
\(166\) | 28.9192 | + | 12.8757i | 2.24457 | + | 0.999346i | ||||
\(167\) | 8.03599 | + | 1.70810i | 0.621844 | + | 0.132177i | 0.508050 | − | 0.861327i | \(-0.330366\pi\) |
0.113794 | + | 0.993504i | \(0.463700\pi\) | |||||||
\(168\) | 21.6589 | − | 4.60375i | 1.67102 | − | 0.355187i | ||||
\(169\) | 21.3517 | − | 9.50640i | 1.64244 | − | 0.731262i | ||||
\(170\) | −3.52918 | + | 10.8617i | −0.270676 | + | 0.833055i | ||||
\(171\) | 1.89416 | − | 5.82962i | 0.144850 | − | 0.445802i | ||||
\(172\) | 25.2529 | − | 11.2433i | 1.92552 | − | 0.857295i | ||||
\(173\) | 16.2106 | − | 3.44567i | 1.23247 | − | 0.261969i | 0.454771 | − | 0.890609i | \(-0.349721\pi\) |
0.777697 | + | 0.628639i | \(0.216388\pi\) | |||||||
\(174\) | −0.825098 | − | 0.175380i | −0.0625505 | − | 0.0132955i | ||||
\(175\) | −1.90431 | − | 0.847851i | −0.143952 | − | 0.0640915i | ||||
\(176\) | −2.92482 | + | 3.24834i | −0.220466 | + | 0.244853i | ||||
\(177\) | −1.08265 | + | 10.3007i | −0.0813769 | + | 0.774249i | ||||
\(178\) | 30.8774 | + | 22.4337i | 2.31436 | + | 1.68148i | ||||
\(179\) | 1.28509 | + | 12.2268i | 0.0960520 | + | 0.913874i | 0.931362 | + | 0.364094i | \(0.118621\pi\) |
−0.835310 | + | 0.549779i | \(0.814712\pi\) | |||||||
\(180\) | 2.90139 | − | 5.02536i | 0.216257 | − | 0.374568i | ||||
\(181\) | 3.35955 | + | 5.81891i | 0.249713 | + | 0.432516i | 0.963446 | − | 0.267902i | \(-0.0863303\pi\) |
−0.713733 | + | 0.700418i | \(0.752997\pi\) | |||||||
\(182\) | −28.4102 | + | 20.6412i | −2.10591 | + | 1.53003i | ||||
\(183\) | 8.03872 | + | 8.92790i | 0.594239 | + | 0.659970i | ||||
\(184\) | −13.6153 | − | 41.9036i | −1.00373 | − | 3.08918i | ||||
\(185\) | −3.62797 | −0.266734 | ||||||||
\(186\) | 11.2074 | − | 10.7834i | 0.821763 | − | 0.790677i | ||||
\(187\) | −0.989181 | −0.0723361 | ||||||||
\(188\) | 1.63754 | + | 5.03983i | 0.119430 | + | 0.367568i | ||||
\(189\) | −1.39482 | − | 1.54910i | −0.101458 | − | 0.112681i | ||||
\(190\) | 13.8521 | − | 10.0642i | 1.00494 | − | 0.730131i | ||||
\(191\) | 4.34771 | + | 7.53045i | 0.314589 | + | 0.544884i | 0.979350 | − | 0.202172i | \(-0.0648000\pi\) |
−0.664761 | + | 0.747056i | \(0.731467\pi\) | |||||||
\(192\) | −22.7464 | + | 39.3979i | −1.64158 | + | 2.84329i | ||||
\(193\) | 1.80077 | + | 17.1332i | 0.129622 | + | 1.23327i | 0.845088 | + | 0.534627i | \(0.179548\pi\) |
−0.715466 | + | 0.698648i | \(0.753786\pi\) | |||||||
\(194\) | −38.3085 | − | 27.8328i | −2.75039 | − | 1.99828i | ||||
\(195\) | −0.630406 | + | 5.99791i | −0.0451443 | + | 0.429520i | ||||
\(196\) | −10.3080 | + | 11.4482i | −0.736285 | + | 0.817727i | ||||
\(197\) | −12.8757 | − | 5.73262i | −0.917353 | − | 0.408432i | −0.106923 | − | 0.994267i | \(-0.534100\pi\) |
−0.810430 | + | 0.585835i | \(0.800767\pi\) | |||||||
\(198\) | 0.661055 | + | 0.140512i | 0.0469791 | + | 0.00998572i | ||||
\(199\) | 5.95022 | − | 1.26476i | 0.421800 | − | 0.0896563i | 0.00787840 | − | 0.999969i | \(-0.497492\pi\) |
0.413921 | + | 0.910313i | \(0.364159\pi\) | |||||||
\(200\) | 9.70413 | − | 4.32056i | 0.686185 | − | 0.305509i | ||||
\(201\) | 2.58487 | − | 7.95541i | 0.182323 | − | 0.561131i | ||||
\(202\) | 6.23655 | − | 19.1941i | 0.438802 | − | 1.35049i | ||||
\(203\) | −0.575059 | + | 0.256033i | −0.0403613 | + | 0.0179700i | ||||
\(204\) | −23.2064 | + | 4.93268i | −1.62477 | + | 0.345356i | ||||
\(205\) | 1.46580 | + | 0.311566i | 0.102376 | + | 0.0217607i | ||||
\(206\) | 34.5113 | + | 15.3654i | 2.40451 | + | 1.07056i | ||||
\(207\) | −2.77543 | + | 3.08242i | −0.192905 | + | 0.214243i | ||||
\(208\) | 11.3894 | − | 108.363i | 0.789711 | − | 7.51360i | ||||
\(209\) | 1.19978 | + | 0.871688i | 0.0829903 | + | 0.0602959i | ||||
\(210\) | −0.608647 | − | 5.79089i | −0.0420007 | − | 0.399610i | ||||
\(211\) | 4.41872 | − | 7.65346i | 0.304198 | − | 0.526886i | −0.672885 | − | 0.739747i | \(-0.734945\pi\) |
0.977082 | + | 0.212862i | \(0.0682784\pi\) | |||||||
\(212\) | −27.0565 | − | 46.8632i | −1.85825 | − | 3.21858i | ||||
\(213\) | −3.29217 | + | 2.39190i | −0.225576 | + | 0.163891i | ||||
\(214\) | 0.591717 | + | 0.657169i | 0.0404490 | + | 0.0449231i | ||||
\(215\) | −1.47207 | − | 4.53055i | −0.100394 | − | 0.308981i | ||||
\(216\) | 10.6225 | 0.722769 | ||||||||
\(217\) | 2.03622 | − | 11.4261i | 0.138228 | − | 0.775655i | ||||
\(218\) | −45.9808 | −3.11421 | ||||||||
\(219\) | −2.01184 | − | 6.19181i | −0.135948 | − | 0.418404i | ||||
\(220\) | 0.939411 | + | 1.04332i | 0.0633351 | + | 0.0703407i | ||||
\(221\) | 19.9485 | − | 14.4935i | 1.34188 | − | 0.974935i | ||||
\(222\) | −5.06709 | − | 8.77646i | −0.340081 | − | 0.589038i | ||||
\(223\) | 10.3996 | − | 18.0127i | 0.696411 | − | 1.20622i | −0.273291 | − | 0.961931i | \(-0.588112\pi\) |
0.969703 | − | 0.244289i | \(-0.0785544\pi\) | |||||||
\(224\) | 6.36716 | + | 60.5795i | 0.425424 | + | 4.04764i | ||||
\(225\) | −0.809017 | − | 0.587785i | −0.0539345 | − | 0.0391857i | ||||
\(226\) | −0.435369 | + | 4.14226i | −0.0289603 | + | 0.275539i | ||||
\(227\) | −9.69452 | + | 10.7669i | −0.643448 | + | 0.714621i | −0.973332 | − | 0.229400i | \(-0.926324\pi\) |
0.329885 | + | 0.944021i | \(0.392990\pi\) | |||||||
\(228\) | 32.4938 | + | 14.4672i | 2.15196 | + | 0.958112i | ||||
\(229\) | 17.4738 | + | 3.71417i | 1.15470 | + | 0.245439i | 0.745181 | − | 0.666862i | \(-0.232363\pi\) |
0.409519 | + | 0.912301i | \(0.365696\pi\) | |||||||
\(230\) | −11.3331 | + | 2.40892i | −0.747281 | + | 0.158840i | ||||
\(231\) | 0.460728 | − | 0.205130i | 0.0303137 | − | 0.0134965i | ||||
\(232\) | 0.991254 | − | 3.05077i | 0.0650790 | − | 0.200293i | ||||
\(233\) | 6.81454 | − | 20.9730i | 0.446435 | − | 1.37399i | −0.434467 | − | 0.900688i | \(-0.643063\pi\) |
0.880902 | − | 0.473298i | \(-0.156937\pi\) | |||||||
\(234\) | −15.3901 | + | 6.85210i | −1.00608 | + | 0.447936i | ||||
\(235\) | 0.893260 | − | 0.189868i | 0.0582699 | − | 0.0123856i | ||||
\(236\) | −58.7887 | − | 12.4959i | −3.82682 | − | 0.813415i | ||||
\(237\) | −0.456107 | − | 0.203072i | −0.0296273 | − | 0.0131909i | ||||
\(238\) | −15.9298 | + | 17.6918i | −1.03257 | + | 1.14679i | ||||
\(239\) | −1.34986 | + | 12.8430i | −0.0873151 | + | 0.830748i | 0.859968 | + | 0.510349i | \(0.170484\pi\) |
−0.947283 | + | 0.320399i | \(0.896183\pi\) | |||||||
\(240\) | 14.6163 | + | 10.6194i | 0.943477 | + | 0.685476i | ||||
\(241\) | −0.385948 | − | 3.67205i | −0.0248611 | − | 0.236538i | −0.999895 | − | 0.0144821i | \(-0.995390\pi\) |
0.975034 | − | 0.222056i | \(-0.0712766\pi\) | |||||||
\(242\) | 15.2816 | − | 26.4686i | 0.982342 | − | 1.70147i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −56.3988 | + | 40.9761i | −3.61056 | + | 2.62323i | ||||
\(245\) | 1.77639 | + | 1.97288i | 0.113489 | + | 0.126043i | ||||
\(246\) | 1.29354 | + | 3.98109i | 0.0824728 | + | 0.253825i | ||||
\(247\) | −36.9675 | −2.35219 | ||||||||
\(248\) | 36.3273 | + | 46.6721i | 2.30679 | + | 2.96368i | ||||
\(249\) | 11.3327 | 0.718178 | ||||||||
\(250\) | −0.863191 | − | 2.65663i | −0.0545930 | − | 0.168020i | ||||
\(251\) | −12.0829 | − | 13.4194i | −0.762664 | − | 0.847024i | 0.229325 | − | 0.973350i | \(-0.426348\pi\) |
−0.991989 | + | 0.126326i | \(0.959682\pi\) | |||||||
\(252\) | 9.78589 | − | 7.10987i | 0.616453 | − | 0.447880i | ||||
\(253\) | −0.501761 | − | 0.869076i | −0.0315455 | − | 0.0546384i | ||||
\(254\) | 22.8795 | − | 39.6285i | 1.43559 | − | 2.48652i | ||||
\(255\) | 0.427368 | + | 4.06613i | 0.0267628 | + | 0.254631i | ||||
\(256\) | −81.4939 | − | 59.2088i | −5.09337 | − | 3.70055i | ||||
\(257\) | −0.319167 | + | 3.03667i | −0.0199091 | + | 0.189422i | −0.999956 | − | 0.00934216i | \(-0.997026\pi\) |
0.980047 | + | 0.198765i | \(0.0636929\pi\) | |||||||
\(258\) | 8.90390 | − | 9.88878i | 0.554333 | − | 0.615649i | ||||
\(259\) | −6.90877 | − | 3.07598i | −0.429290 | − | 0.191132i | ||||
\(260\) | −34.2316 | − | 7.27614i | −2.12295 | − | 0.451247i | ||||
\(261\) | −0.295380 | + | 0.0627849i | −0.0182835 | + | 0.00388629i | ||||
\(262\) | 14.5230 | − | 6.46605i | 0.897233 | − | 0.399474i | ||||
\(263\) | 2.51475 | − | 7.73961i | 0.155066 | − | 0.477245i | −0.843101 | − | 0.537755i | \(-0.819273\pi\) |
0.998168 | + | 0.0605099i | \(0.0192727\pi\) | |||||||
\(264\) | −0.794177 | + | 2.44422i | −0.0488782 | + | 0.150432i | ||||
\(265\) | −8.51914 | + | 3.79296i | −0.523326 | + | 0.233000i | ||||
\(266\) | 34.9116 | − | 7.42069i | 2.14057 | − | 0.454992i | ||||
\(267\) | 13.3648 | + | 2.84078i | 0.817913 | + | 0.173853i | ||||
\(268\) | 44.3428 | + | 19.7427i | 2.70867 | + | 1.20598i | ||||
\(269\) | 2.28448 | − | 2.53717i | 0.139287 | − | 0.154694i | −0.669465 | − | 0.742844i | \(-0.733477\pi\) |
0.808752 | + | 0.588149i | \(0.200143\pi\) | |||||||
\(270\) | 0.291984 | − | 2.77804i | 0.0177696 | − | 0.169066i | ||||
\(271\) | −0.311388 | − | 0.226237i | −0.0189155 | − | 0.0137429i | 0.578287 | − | 0.815833i | \(-0.303721\pi\) |
−0.597203 | + | 0.802090i | \(0.703721\pi\) | |||||||
\(272\) | −7.72114 | − | 73.4617i | −0.468163 | − | 4.45427i | ||||
\(273\) | −6.28583 | + | 10.8874i | −0.380435 | + | 0.658934i | ||||
\(274\) | 12.1985 | + | 21.1283i | 0.736936 | + | 1.27641i | ||||
\(275\) | 0.195734 | − | 0.142209i | 0.0118032 | − | 0.00857553i | ||||
\(276\) | −16.1052 | − | 17.8866i | −0.969419 | − | 1.07665i | ||||
\(277\) | −8.21715 | − | 25.2898i | −0.493721 | − | 1.51952i | −0.818941 | − | 0.573878i | \(-0.805438\pi\) |
0.325220 | − | 0.945638i | \(-0.394562\pi\) | |||||||
\(278\) | 22.0475 | 1.32232 | ||||||||
\(279\) | 2.09513 | − | 5.15853i | 0.125432 | − | 0.308833i | ||||
\(280\) | 22.1428 | 1.32329 | ||||||||
\(281\) | 2.80058 | + | 8.61930i | 0.167069 | + | 0.514185i | 0.999183 | − | 0.0404200i | \(-0.0128696\pi\) |
−0.832114 | + | 0.554604i | \(0.812870\pi\) | |||||||
\(282\) | 1.70690 | + | 1.89571i | 0.101645 | + | 0.112888i | ||||
\(283\) | −15.4601 | + | 11.2324i | −0.919006 | + | 0.667697i | −0.943276 | − | 0.332009i | \(-0.892274\pi\) |
0.0242708 | + | 0.999705i | \(0.492274\pi\) | |||||||
\(284\) | −11.8068 | − | 20.4499i | −0.700604 | − | 1.21348i | ||||
\(285\) | 3.06481 | − | 5.30841i | 0.181544 | − | 0.314443i | ||||
\(286\) | −0.426043 | − | 4.05353i | −0.0251925 | − | 0.239690i | ||||
\(287\) | 2.52718 | + | 1.83610i | 0.149174 | + | 0.108382i | ||||
\(288\) | −3.05449 | + | 29.0616i | −0.179988 | + | 1.71247i | ||||
\(289\) | −0.189979 | + | 0.210993i | −0.0111752 | + | 0.0124113i | ||||
\(290\) | −0.770604 | − | 0.343095i | −0.0452514 | − | 0.0201472i | ||||
\(291\) | −16.5813 | − | 3.52446i | −0.972011 | − | 0.206607i | ||||
\(292\) | 36.9532 | − | 7.85465i | 2.16252 | − | 0.459659i | ||||
\(293\) | 15.6092 | − | 6.94968i | 0.911901 | − | 0.406004i | 0.103495 | − | 0.994630i | \(-0.466997\pi\) |
0.808406 | + | 0.588626i | \(0.200331\pi\) | |||||||
\(294\) | −2.29157 | + | 7.05274i | −0.133647 | + | 0.411324i | ||||
\(295\) | −3.20063 | + | 9.85052i | −0.186348 | + | 0.573520i | ||||
\(296\) | 35.2063 | − | 15.6749i | 2.04633 | − | 0.911083i | ||||
\(297\) | 0.236653 | − | 0.0503022i | 0.0137320 | − | 0.00291883i | ||||
\(298\) | 52.6953 | + | 11.2007i | 3.05255 | + | 0.648840i | ||||
\(299\) | 22.8526 | + | 10.1746i | 1.32160 | + | 0.588413i | ||||
\(300\) | 3.88282 | − | 4.31231i | 0.224175 | − | 0.248971i | ||||
\(301\) | 1.03797 | − | 9.87565i | 0.0598277 | − | 0.569223i | ||||
\(302\) | −16.8346 | − | 12.2310i | −0.968720 | − | 0.703816i | ||||
\(303\) | −0.755218 | − | 7.18542i | −0.0433861 | − | 0.412791i | ||||
\(304\) | −55.3712 | + | 95.9057i | −3.17575 | + | 5.50057i | ||||
\(305\) | 6.00684 | + | 10.4042i | 0.343951 | + | 0.595740i | ||||
\(306\) | −9.23953 | + | 6.71291i | −0.528189 | + | 0.383751i | ||||
\(307\) | 2.81838 | + | 3.13012i | 0.160853 | + | 0.178646i | 0.818184 | − | 0.574957i | \(-0.194981\pi\) |
−0.657331 | + | 0.753602i | \(0.728314\pi\) | |||||||
\(308\) | 0.904344 | + | 2.78328i | 0.0515298 | + | 0.158592i | ||||
\(309\) | 13.5240 | 0.769355 | ||||||||
\(310\) | 13.2044 | − | 8.21761i | 0.749962 | − | 0.466729i | ||||
\(311\) | −26.7043 | −1.51426 | −0.757130 | − | 0.653264i | \(-0.773399\pi\) | ||||
−0.757130 | + | 0.653264i | \(0.773399\pi\) | |||||||
\(312\) | −19.7968 | − | 60.9282i | −1.12077 | − | 3.44938i | ||||
\(313\) | −11.9956 | − | 13.3224i | −0.678031 | − | 0.753029i | 0.301688 | − | 0.953407i | \(-0.402450\pi\) |
−0.979719 | + | 0.200377i | \(0.935783\pi\) | |||||||
\(314\) | 15.3506 | − | 11.1529i | 0.866284 | − | 0.629392i | ||||
\(315\) | −1.04226 | − | 1.80525i | −0.0587247 | − | 0.101714i | ||||
\(316\) | 1.44858 | − | 2.50902i | 0.0814890 | − | 0.141143i | ||||
\(317\) | −0.318470 | − | 3.03004i | −0.0178871 | − | 0.170184i | 0.981931 | − | 0.189237i | \(-0.0606015\pi\) |
−0.999818 | + | 0.0190531i | \(0.993935\pi\) | |||||||
\(318\) | −21.0740 | − | 15.3112i | −1.18177 | − | 0.858609i | ||||
\(319\) | 0.00763694 | − | 0.0726606i | 0.000427586 | − | 0.00406821i | ||||
\(320\) | −30.4406 | + | 33.8077i | −1.70168 | + | 1.88991i | ||||
\(321\) | 0.289207 | + | 0.128763i | 0.0161420 | + | 0.00718687i | ||||
\(322\) | −23.6241 | − | 5.02145i | −1.31652 | − | 0.279834i | ||||
\(323\) | −24.5135 | + | 5.21051i | −1.36397 | + | 0.289921i | ||||
\(324\) | 5.30111 | − | 2.36020i | 0.294506 | − | 0.131122i | ||||
\(325\) | −1.86367 | + | 5.73578i | −0.103378 | + | 0.318164i | ||||
\(326\) | 4.14541 | − | 12.7583i | 0.229593 | − | 0.706615i | ||||
\(327\) | −15.0377 | + | 6.69522i | −0.831587 | + | 0.370247i | ||||
\(328\) | −15.5705 | + | 3.30961i | −0.859736 | + | 0.182743i | ||||
\(329\) | 1.86202 | + | 0.395785i | 0.102657 | + | 0.0218203i | ||||
\(330\) | 0.617395 | + | 0.274882i | 0.0339865 | + | 0.0151318i | ||||
\(331\) | −9.37540 | + | 10.4124i | −0.515319 | + | 0.572319i | −0.943500 | − | 0.331374i | \(-0.892488\pi\) |
0.428181 | + | 0.903693i | \(0.359155\pi\) | |||||||
\(332\) | −6.87389 | + | 65.4007i | −0.377254 | + | 3.58933i | ||||
\(333\) | −2.93509 | − | 2.13247i | −0.160842 | − | 0.116859i | ||||
\(334\) | 2.39880 | + | 22.8231i | 0.131257 | + | 1.24882i | ||||
\(335\) | 4.18241 | − | 7.24414i | 0.228509 | − | 0.395790i | ||||
\(336\) | 18.8302 | + | 32.6149i | 1.02727 | + | 1.77929i | ||||
\(337\) | 1.46991 | − | 1.06795i | 0.0800711 | − | 0.0581750i | −0.547030 | − | 0.837113i | \(-0.684241\pi\) |
0.627101 | + | 0.778938i | \(0.284241\pi\) | |||||||
\(338\) | 43.6856 | + | 48.5178i | 2.37619 | + | 2.63902i | ||||
\(339\) | 0.460766 | + | 1.41809i | 0.0250254 | + | 0.0770202i | ||||
\(340\) | −23.7249 | −1.28666 | ||||||||
\(341\) | 1.03033 | + | 0.867758i | 0.0557956 | + | 0.0469917i | ||||
\(342\) | 17.1222 | 0.925861 | ||||||||
\(343\) | 6.21915 | + | 19.1406i | 0.335802 | + | 1.03349i | ||||
\(344\) | 33.8596 | + | 37.6049i | 1.82559 | + | 2.02752i | ||||
\(345\) | −3.35565 | + | 2.43802i | −0.180662 | + | 0.131259i | ||||
\(346\) | 23.1467 | + | 40.0912i | 1.24437 | + | 2.15532i | ||||
\(347\) | −7.16433 | + | 12.4090i | −0.384602 | + | 0.666150i | −0.991714 | − | 0.128467i | \(-0.958995\pi\) |
0.607112 | + | 0.794616i | \(0.292328\pi\) | |||||||
\(348\) | −0.183167 | − | 1.74272i | −0.00981878 | − | 0.0934194i | ||||
\(349\) | −22.7758 | − | 16.5476i | −1.21916 | − | 0.885774i | −0.223133 | − | 0.974788i | \(-0.571628\pi\) |
−0.996030 | + | 0.0890142i | \(0.971628\pi\) | |||||||
\(350\) | 0.608647 | − | 5.79089i | 0.0325336 | − | 0.309536i | ||||
\(351\) | −4.03549 | + | 4.48187i | −0.215399 | + | 0.239225i | ||||
\(352\) | −6.45867 | − | 2.87559i | −0.344248 | − | 0.153269i | ||||
\(353\) | 0.210489 | + | 0.0447407i | 0.0112032 | + | 0.00238131i | 0.213510 | − | 0.976941i | \(-0.431510\pi\) |
−0.202307 | + | 0.979322i | \(0.564844\pi\) | |||||||
\(354\) | −28.2997 | + | 6.01529i | −1.50411 | + | 0.319709i | ||||
\(355\) | −3.71754 | + | 1.65515i | −0.197306 | + | 0.0878465i | ||||
\(356\) | −24.5006 | + | 75.4051i | −1.29853 | + | 3.99646i | ||||
\(357\) | −2.63364 | + | 8.10550i | −0.139387 | + | 0.428989i | ||||
\(358\) | −31.3728 | + | 13.9681i | −1.65810 | + | 0.738235i | ||||
\(359\) | 25.1539 | − | 5.34663i | 1.32757 | − | 0.282184i | 0.511077 | − | 0.859535i | \(-0.329247\pi\) |
0.816496 | + | 0.577351i | \(0.195914\pi\) | |||||||
\(360\) | 10.3904 | + | 2.20854i | 0.547620 | + | 0.116400i | ||||
\(361\) | 16.9667 | + | 7.55405i | 0.892983 | + | 0.397582i | ||||
\(362\) | −12.5588 | + | 13.9479i | −0.660073 | + | 0.733086i | ||||
\(363\) | 1.14369 | − | 10.8815i | 0.0600284 | − | 0.571132i | ||||
\(364\) | −59.0182 | − | 42.8793i | −3.09340 | − | 2.24748i | ||||
\(365\) | −0.680528 | − | 6.47479i | −0.0356205 | − | 0.338906i | ||||
\(366\) | −16.7792 | + | 29.0624i | −0.877062 | + | 1.51912i | ||||
\(367\) | −10.2801 | − | 17.8057i | −0.536618 | − | 0.929449i | −0.999083 | − | 0.0428117i | \(-0.986368\pi\) |
0.462466 | − | 0.886637i | \(-0.346965\pi\) | |||||||
\(368\) | 60.6256 | − | 44.0471i | 3.16033 | − | 2.29611i | ||||
\(369\) | 1.00273 | + | 1.11364i | 0.0521998 | + | 0.0579738i | ||||
\(370\) | −3.13164 | − | 9.63818i | −0.162806 | − | 0.501065i | ||||
\(371\) | −19.4389 | −1.00922 | ||||||||
\(372\) | 28.4990 | + | 15.2199i | 1.47761 | + | 0.789117i | ||||
\(373\) | −3.37774 | −0.174893 | −0.0874463 | − | 0.996169i | \(-0.527871\pi\) | ||||
−0.0874463 | + | 0.996169i | \(0.527871\pi\) | |||||||
\(374\) | −0.853852 | − | 2.62789i | −0.0441517 | − | 0.135885i | ||||
\(375\) | −0.669131 | − | 0.743145i | −0.0345538 | − | 0.0383758i | ||||
\(376\) | −7.84797 | + | 5.70189i | −0.404728 | + | 0.294052i | ||||
\(377\) | 0.910609 | + | 1.57722i | 0.0468988 | + | 0.0812310i | ||||
\(378\) | 2.91140 | − | 5.04269i | 0.149746 | − | 0.259368i | ||||
\(379\) | −0.0364702 | − | 0.346991i | −0.00187335 | − | 0.0178237i | 0.993545 | − | 0.113436i | \(-0.0361857\pi\) |
−0.995419 | + | 0.0956124i | \(0.969519\pi\) | |||||||
\(380\) | 28.7758 | + | 20.9069i | 1.47617 | + | 1.07250i | ||||
\(381\) | 1.71233 | − | 16.2917i | 0.0877253 | − | 0.834650i | ||||
\(382\) | −16.2527 | + | 18.0505i | −0.831561 | + | 0.923542i | ||||
\(383\) | 13.6387 | + | 6.07232i | 0.696903 | + | 0.310281i | 0.724438 | − | 0.689340i | \(-0.242099\pi\) |
−0.0275355 | + | 0.999621i | \(0.508766\pi\) | |||||||
\(384\) | −67.1338 | − | 14.2697i | −3.42591 | − | 0.728199i | ||||
\(385\) | 0.493309 | − | 0.104856i | 0.0251414 | − | 0.00534396i | ||||
\(386\) | −43.9622 | + | 19.5732i | −2.23761 | + | 0.996250i | ||||
\(387\) | 1.47207 | − | 4.53055i | 0.0748293 | − | 0.230301i | ||||
\(388\) | 30.3971 | − | 93.5526i | 1.54318 | − | 4.74941i | ||||
\(389\) | −13.2781 | + | 5.91180i | −0.673227 | + | 0.299740i | −0.714732 | − | 0.699398i | \(-0.753451\pi\) |
0.0415048 | + | 0.999138i | \(0.486785\pi\) | |||||||
\(390\) | −16.4784 | + | 3.50259i | −0.834416 | + | 0.177361i | ||||
\(391\) | 16.5879 | + | 3.52586i | 0.838884 | + | 0.178310i | ||||
\(392\) | −25.7622 | − | 11.4701i | −1.30119 | − | 0.579326i | ||||
\(393\) | 3.80813 | − | 4.22936i | 0.192095 | − | 0.213343i | ||||
\(394\) | 4.11527 | − | 39.1542i | 0.207325 | − | 1.97256i | ||||
\(395\) | −0.403919 | − | 0.293464i | −0.0203234 | − | 0.0147658i | ||||
\(396\) | 0.146750 | + | 1.39624i | 0.00737449 | + | 0.0701635i | ||||
\(397\) | −13.7371 | + | 23.7934i | −0.689448 | + | 1.19416i | 0.282569 | + | 0.959247i | \(0.408813\pi\) |
−0.972017 | + | 0.234912i | \(0.924520\pi\) | |||||||
\(398\) | 8.49617 | + | 14.7158i | 0.425875 | + | 0.737636i | ||||
\(399\) | 10.3371 | − | 7.51033i | 0.517502 | − | 0.375987i | ||||
\(400\) | 12.0890 | + | 13.4262i | 0.604450 | + | 0.671310i | ||||
\(401\) | −0.335375 | − | 1.03218i | −0.0167478 | − | 0.0515445i | 0.942333 | − | 0.334676i | \(-0.108627\pi\) |
−0.959081 | + | 0.283131i | \(0.908627\pi\) | |||||||
\(402\) | 23.3658 | 1.16538 | ||||||||
\(403\) | −33.4928 | − | 2.40342i | −1.66840 | − | 0.119723i | ||||
\(404\) | 41.9251 | 2.08585 | ||||||||
\(405\) | −0.309017 | − | 0.951057i | −0.0153552 | − | 0.0472584i | ||||
\(406\) | −1.17657 | − | 1.30671i | −0.0583923 | − | 0.0648512i | ||||
\(407\) | 0.710117 | − | 0.515930i | 0.0351992 | − | 0.0255737i | ||||
\(408\) | −21.7152 | − | 37.6118i | −1.07506 | − | 1.86206i | ||||
\(409\) | −6.09355 | + | 10.5543i | −0.301307 | + | 0.521878i | −0.976432 | − | 0.215824i | \(-0.930756\pi\) |
0.675126 | + | 0.737703i | \(0.264089\pi\) | |||||||
\(410\) | 0.437553 | + | 4.16304i | 0.0216092 | + | 0.205598i | ||||
\(411\) | 7.06591 | + | 5.13368i | 0.348535 | + | 0.253226i | ||||
\(412\) | −8.20307 | + | 78.0470i | −0.404136 | + | 3.84510i | ||||
\(413\) | −14.4468 | + | 16.0447i | −0.710878 | + | 0.789510i | ||||
\(414\) | −10.5846 | − | 4.71256i | −0.520204 | − | 0.231610i | ||||
\(415\) | 11.0850 | + | 2.35619i | 0.544142 | + | 0.115661i | ||||
\(416\) | 172.383 | − | 36.6412i | 8.45178 | − | 1.79648i | ||||
\(417\) | 7.21049 | − | 3.21032i | 0.353099 | − | 0.157210i | ||||
\(418\) | −1.28012 | + | 3.93980i | −0.0626126 | + | 0.192702i | ||||
\(419\) | −10.5615 | + | 32.5050i | −0.515964 | + | 1.58797i | 0.265557 | + | 0.964095i | \(0.414444\pi\) |
−0.781521 | + | 0.623879i | \(0.785556\pi\) | |||||||
\(420\) | 11.0503 | − | 4.91990i | 0.539198 | − | 0.240066i | ||||
\(421\) | 27.3280 | − | 5.80874i | 1.33188 | − | 0.283100i | 0.513656 | − | 0.857996i | \(-0.328291\pi\) |
0.818227 | + | 0.574896i | \(0.194957\pi\) | |||||||
\(422\) | 24.1466 | + | 5.13252i | 1.17544 | + | 0.249847i | ||||
\(423\) | 0.834264 | + | 0.371438i | 0.0405633 | + | 0.0180600i | ||||
\(424\) | 66.2831 | − | 73.6148i | 3.21899 | − | 3.57505i | ||||
\(425\) | −0.427368 | + | 4.06613i | −0.0207304 | + | 0.197236i | ||||
\(426\) | −9.19618 | − | 6.68142i | −0.445557 | − | 0.323716i | ||||
\(427\) | 2.61768 | + | 24.9056i | 0.126679 | + | 1.20527i | ||||
\(428\) | −0.918513 | + | 1.59091i | −0.0443980 | + | 0.0768996i | ||||
\(429\) | −0.729566 | − | 1.26364i | −0.0352238 | − | 0.0610093i | ||||
\(430\) | 10.7653 | − | 7.82147i | 0.519150 | − | 0.377185i | ||||
\(431\) | −22.5116 | − | 25.0017i | −1.08435 | − | 1.20429i | −0.977703 | − | 0.209993i | \(-0.932656\pi\) |
−0.106645 | − | 0.994297i | \(-0.534011\pi\) | |||||||
\(432\) | 5.58293 | + | 17.1825i | 0.268609 | + | 0.826692i | ||||
\(433\) | 9.14483 | 0.439472 | 0.219736 | − | 0.975559i | \(-0.429480\pi\) | ||||
0.219736 | + | 0.975559i | \(0.429480\pi\) | |||||||
\(434\) | 32.1126 | − | 4.45343i | 1.54145 | − | 0.213772i | ||||
\(435\) | −0.301979 | −0.0144788 | ||||||||
\(436\) | −29.5169 | − | 90.8436i | −1.41360 | − | 4.35062i | ||||
\(437\) | −17.0123 | − | 18.8941i | −0.813810 | − | 0.903828i | ||||
\(438\) | 14.7128 | − | 10.6894i | 0.703003 | − | 0.510761i | ||||
\(439\) | −8.04178 | − | 13.9288i | −0.383813 | − | 0.664784i | 0.607791 | − | 0.794097i | \(-0.292056\pi\) |
−0.991604 | + | 0.129313i | \(0.958723\pi\) | |||||||
\(440\) | −1.28500 | + | 2.22569i | −0.0612602 | + | 0.106106i | ||||
\(441\) | 0.277499 | + | 2.64023i | 0.0132142 | + | 0.125725i | ||||
\(442\) | 55.7231 | + | 40.4852i | 2.65048 | + | 1.92569i | ||||
\(443\) | 0.653247 | − | 6.21523i | 0.0310367 | − | 0.295295i | −0.967983 | − | 0.251017i | \(-0.919235\pi\) |
0.999019 | − | 0.0442772i | \(-0.0140985\pi\) | |||||||
\(444\) | 14.0868 | − | 15.6449i | 0.668528 | − | 0.742476i | ||||
\(445\) | 12.4821 | + | 5.55740i | 0.591709 | + | 0.263446i | ||||
\(446\) | 56.8300 | + | 12.0796i | 2.69098 | + | 0.571985i | ||||
\(447\) | 18.8646 | − | 4.00979i | 0.892263 | − | 0.189656i | ||||
\(448\) | −86.6320 | + | 38.5711i | −4.09298 | + | 1.82231i | ||||
\(449\) | −2.65805 | + | 8.18063i | −0.125441 | + | 0.386068i | −0.993981 | − | 0.109551i | \(-0.965059\pi\) |
0.868540 | + | 0.495619i | \(0.165059\pi\) | |||||||
\(450\) | 0.863191 | − | 2.65663i | 0.0406912 | − | 0.125235i | ||||
\(451\) | −0.331215 | + | 0.147466i | −0.0155963 | + | 0.00694392i | ||||
\(452\) | −8.46328 | + | 1.79893i | −0.398079 | + | 0.0846144i | ||||
\(453\) | −7.28658 | − | 1.54881i | −0.342353 | − | 0.0727694i | ||||
\(454\) | −36.9718 | − | 16.4609i | −1.73517 | − | 0.772548i | ||||
\(455\) | −8.41208 | + | 9.34256i | −0.394364 | + | 0.437986i | ||||
\(456\) | −6.80605 | + | 64.7552i | −0.318722 | + | 3.03244i | ||||
\(457\) | −3.75276 | − | 2.72654i | −0.175547 | − | 0.127542i | 0.496542 | − | 0.868013i | \(-0.334603\pi\) |
−0.672089 | + | 0.740470i | \(0.734603\pi\) | |||||||
\(458\) | 5.21605 | + | 49.6274i | 0.243730 | + | 2.31894i | ||||
\(459\) | −2.04427 | + | 3.54077i | −0.0954181 | + | 0.165269i | ||||
\(460\) | −12.0344 | − | 20.8442i | −0.561108 | − | 0.971867i | ||||
\(461\) | −22.6060 | + | 16.4242i | −1.05287 | + | 0.764953i | −0.972756 | − | 0.231833i | \(-0.925528\pi\) |
−0.0801121 | + | 0.996786i | \(0.525528\pi\) | |||||||
\(462\) | 0.942650 | + | 1.04692i | 0.0438561 | + | 0.0487071i | ||||
\(463\) | 0.944857 | + | 2.90797i | 0.0439112 | + | 0.135145i | 0.970609 | − | 0.240664i | \(-0.0773651\pi\) |
−0.926697 | + | 0.375808i | \(0.877365\pi\) | |||||||
\(464\) | 5.45577 | 0.253278 | ||||||||
\(465\) | 3.12187 | − | 4.61020i | 0.144773 | − | 0.213793i | ||||
\(466\) | 61.5997 | 2.85355 | ||||||||
\(467\) | 2.08107 | + | 6.40487i | 0.0963003 | + | 0.296382i | 0.987590 | − | 0.157052i | \(-0.0501989\pi\) |
−0.891290 | + | 0.453434i | \(0.850199\pi\) | |||||||
\(468\) | −23.4171 | − | 26.0073i | −1.08246 | − | 1.20219i | ||||
\(469\) | 14.1065 | − | 10.2490i | 0.651379 | − | 0.473255i | ||||
\(470\) | 1.27546 | + | 2.20917i | 0.0588328 | + | 0.101901i | ||||
\(471\) | 3.39635 | − | 5.88265i | 0.156496 | − | 0.271058i | ||||
\(472\) | −11.5004 | − | 109.419i | −0.529350 | − | 5.03643i | ||||
\(473\) | 0.932418 | + | 0.677442i | 0.0428726 | + | 0.0311488i | ||||
\(474\) | 0.145779 | − | 1.38700i | 0.00669586 | − | 0.0637069i | ||||
\(475\) | 4.10152 | − | 4.55520i | 0.188191 | − | 0.209007i | ||||
\(476\) | −45.1794 | − | 20.1152i | −2.07079 | − | 0.921977i | ||||
\(477\) | −9.12157 | − | 1.93885i | −0.417648 | − | 0.0887739i | ||||
\(478\) | −35.2844 | + | 7.49993i | −1.61387 | + | 0.343039i | ||||
\(479\) | −11.5741 | + | 5.15311i | −0.528833 | + | 0.235452i | −0.653743 | − | 0.756716i | \(-0.726802\pi\) |
0.124910 | + | 0.992168i | \(0.460136\pi\) | |||||||
\(480\) | −9.02999 | + | 27.7914i | −0.412161 | + | 1.26850i | ||||
\(481\) | −6.76133 | + | 20.8092i | −0.308290 | + | 0.948820i | ||||
\(482\) | 9.42214 | − | 4.19501i | 0.429167 | − | 0.191077i | ||||
\(483\) | −8.45726 | + | 1.79765i | −0.384819 | + | 0.0817957i | ||||
\(484\) | 62.1035 | + | 13.2005i | 2.82289 | + | 0.600023i | ||||
\(485\) | −15.4861 | − | 6.89488i | −0.703190 | − | 0.313080i | ||||
\(486\) | 1.86911 | − | 2.07586i | 0.0847847 | − | 0.0941630i | ||||
\(487\) | −0.711239 | + | 6.76699i | −0.0322293 | + | 0.306642i | 0.966518 | + | 0.256600i | \(0.0826022\pi\) |
−0.998747 | + | 0.0500420i | \(0.984064\pi\) | |||||||
\(488\) | −103.243 | − | 75.0103i | −4.67358 | − | 3.39556i | ||||
\(489\) | −0.501990 | − | 4.77611i | −0.0227008 | − | 0.215983i | ||||
\(490\) | −3.70784 | + | 6.42218i | −0.167503 | + | 0.290124i | ||||
\(491\) | 0.534935 | + | 0.926535i | 0.0241413 | + | 0.0418140i | 0.877844 | − | 0.478947i | \(-0.158982\pi\) |
−0.853702 | + | 0.520761i | \(0.825648\pi\) | |||||||
\(492\) | −7.03502 | + | 5.11124i | −0.317163 | + | 0.230433i | ||||
\(493\) | 0.826141 | + | 0.917523i | 0.0372075 | + | 0.0413231i | ||||
\(494\) | −31.9100 | − | 98.2090i | −1.43570 | − | 4.41863i | ||||
\(495\) | 0.241940 | 0.0108744 | ||||||||
\(496\) | −56.4019 | + | 83.2912i | −2.53252 | + | 3.73989i | ||||
\(497\) | −8.48265 | −0.380499 | ||||||||
\(498\) | 9.78225 | + | 30.1067i | 0.438353 | + | 1.34911i | ||||
\(499\) | 14.8713 | + | 16.5162i | 0.665730 | + | 0.739368i | 0.977534 | − | 0.210778i | \(-0.0675999\pi\) |
−0.311804 | + | 0.950146i | \(0.600933\pi\) | |||||||
\(500\) | 4.69455 | − | 3.41079i | 0.209947 | − | 0.152535i | ||||
\(501\) | 4.10776 | + | 7.11485i | 0.183521 | + | 0.317868i | ||||
\(502\) | 25.2205 | − | 43.6832i | 1.12565 | − | 1.94968i | ||||
\(503\) | −1.89638 | − | 18.0428i | −0.0845554 | − | 0.804491i | −0.951823 | − | 0.306648i | \(-0.900792\pi\) |
0.867268 | − | 0.497842i | \(-0.165874\pi\) | |||||||
\(504\) | 17.9139 | + | 13.0152i | 0.797949 | + | 0.579744i | ||||
\(505\) | 0.755218 | − | 7.18542i | 0.0336067 | − | 0.319747i | ||||
\(506\) | 1.87570 | − | 2.08317i | 0.0833849 | − | 0.0926084i | ||||
\(507\) | 21.3517 | + | 9.50640i | 0.948264 | + | 0.422194i | ||||
\(508\) | 92.9808 | + | 19.7637i | 4.12536 | + | 0.876872i | ||||
\(509\) | −39.5028 | + | 8.39657i | −1.75093 | + | 0.372171i | −0.968197 | − | 0.250188i | \(-0.919508\pi\) |
−0.782731 | + | 0.622360i | \(0.786174\pi\) | |||||||
\(510\) | −10.4333 | + | 4.64521i | −0.461995 | + | 0.205693i | ||||
\(511\) | 4.19373 | − | 12.9070i | 0.185520 | − | 0.570971i | ||||
\(512\) | 44.5331 | − | 137.059i | 1.96810 | − | 6.05720i | ||||
\(513\) | 5.59969 | − | 2.49314i | 0.247233 | − | 0.110075i | ||||
\(514\) | −8.34282 | + | 1.77332i | −0.367986 | + | 0.0782178i | ||||
\(515\) | 13.2285 | + | 2.81180i | 0.582917 | + | 0.123903i | ||||
\(516\) | 25.2529 | + | 11.2433i | 1.11170 | + | 0.494959i | ||||
\(517\) | −0.147840 | + | 0.164193i | −0.00650201 | + | 0.00722121i | ||||
\(518\) | 2.20816 | − | 21.0092i | 0.0970208 | − | 0.923091i | ||||
\(519\) | 13.4076 | + | 9.74121i | 0.588529 | + | 0.427592i | ||||
\(520\) | −6.69648 | − | 63.7128i | −0.293660 | − | 2.79399i | ||||
\(521\) | −6.03968 | + | 10.4610i | −0.264603 | + | 0.458306i | −0.967460 | − | 0.253025i | \(-0.918574\pi\) |
0.702856 | + | 0.711332i | \(0.251908\pi\) | |||||||
\(522\) | −0.421765 | − | 0.730519i | −0.0184602 | − | 0.0319740i | ||||
\(523\) | −33.1010 | + | 24.0493i | −1.44741 | + | 1.05160i | −0.460979 | + | 0.887411i | \(0.652502\pi\) |
−0.986428 | + | 0.164192i | \(0.947498\pi\) | |||||||
\(524\) | 22.0978 | + | 24.5421i | 0.965345 | + | 1.07212i | ||||
\(525\) | −0.644153 | − | 1.98250i | −0.0281131 | − | 0.0865233i | ||||
\(526\) | 22.7320 | 0.991162 | ||||||||
\(527\) | −22.5482 | + | 3.12702i | −0.982214 | + | 0.136215i | ||||
\(528\) | −4.37107 | −0.190226 | ||||||||
\(529\) | −1.79096 | − | 5.51201i | −0.0778679 | − | 0.239653i | ||||
\(530\) | −17.4301 | − | 19.3581i | −0.757117 | − | 0.840864i | ||||
\(531\) | −8.37936 | + | 6.08796i | −0.363633 | + | 0.264195i | ||||
\(532\) | 37.0721 | + | 64.2107i | 1.60728 | + | 2.78389i | ||||
\(533\) | 4.51884 | − | 7.82687i | 0.195733 | − | 0.339019i | ||||
\(534\) | 3.98949 | + | 37.9575i | 0.172642 | + | 1.64258i | ||||
\(535\) | 0.256116 | + | 0.186079i | 0.0110729 | + | 0.00804490i | ||||
\(536\) | −9.28789 | + | 88.3684i | −0.401176 | + | 3.81693i | ||||
\(537\) | −8.22639 | + | 9.13633i | −0.354995 | + | 0.394262i | ||||
\(538\) | 8.71228 | + | 3.87896i | 0.375613 | + | 0.167234i | ||||
\(539\) | −0.628260 | − | 0.133541i | −0.0270611 | − | 0.00575201i | ||||
\(540\) | 5.67598 | − | 1.20647i | 0.244255 | − | 0.0519181i | ||||
\(541\) | 19.3770 | − | 8.62720i | 0.833083 | − | 0.370912i | 0.0545461 | − | 0.998511i | \(-0.482629\pi\) |
0.778537 | + | 0.627599i | \(0.215962\pi\) | |||||||
\(542\) | 0.332240 | − | 1.02253i | 0.0142709 | − | 0.0439214i | ||||
\(543\) | −2.07631 | + | 6.39024i | −0.0891032 | + | 0.274231i | ||||
\(544\) | 109.145 | − | 48.5943i | 4.67953 | − | 2.08346i | ||||
\(545\) | −16.1011 | + | 3.42240i | −0.689696 | + | 0.146599i | ||||
\(546\) | −34.3496 | − | 7.30123i | −1.47003 | − | 0.312464i | ||||
\(547\) | 9.36496 | + | 4.16955i | 0.400417 | + | 0.178277i | 0.597057 | − | 0.802199i | \(-0.296337\pi\) |
−0.196641 | + | 0.980476i | \(0.563003\pi\) | |||||||
\(548\) | −33.9123 | + | 37.6634i | −1.44866 | + | 1.60890i | ||||
\(549\) | −1.25577 | + | 11.9479i | −0.0535950 | + | 0.509923i | ||||
\(550\) | 0.546753 | + | 0.397239i | 0.0233136 | + | 0.0169383i | ||||
\(551\) | −0.193484 | − | 1.84088i | −0.00824269 | − | 0.0784240i | ||||
\(552\) | 22.0300 | − | 38.1571i | 0.937661 | − | 1.62408i | ||||
\(553\) | −0.520371 | − | 0.901309i | −0.0221284 | − | 0.0383275i | ||||
\(554\) | 60.0927 | − | 43.6599i | 2.55309 | − | 1.85493i | ||||
\(555\) | −2.42759 | − | 2.69611i | −0.103045 | − | 0.114443i | ||||
\(556\) | 14.1531 | + | 43.5589i | 0.600227 | + | 1.84731i | ||||
\(557\) | −3.64108 | −0.154277 | −0.0771387 | − | 0.997020i | \(-0.524578\pi\) | ||||
−0.0771387 | + | 0.997020i | \(0.524578\pi\) | |||||||
\(558\) | 15.5128 | + | 1.11319i | 0.656709 | + | 0.0471251i | ||||
\(559\) | −28.7297 | −1.21514 | ||||||||
\(560\) | 11.6377 | + | 35.8173i | 0.491784 | + | 1.51356i | ||||
\(561\) | −0.661891 | − | 0.735105i | −0.0279451 | − | 0.0310361i | ||||
\(562\) | −20.4809 | + | 14.8802i | −0.863933 | + | 0.627684i | ||||
\(563\) | 7.35427 | + | 12.7380i | 0.309946 | + | 0.536841i | 0.978350 | − | 0.206956i | \(-0.0663558\pi\) |
−0.668405 | + | 0.743798i | \(0.733022\pi\) | |||||||
\(564\) | −2.64960 | + | 4.58924i | −0.111568 | + | 0.193242i | ||||
\(565\) | 0.155859 | + | 1.48290i | 0.00655705 | + | 0.0623862i | ||||
\(566\) | −43.1853 | − | 31.3760i | −1.81521 | − | 1.31883i | ||||
\(567\) | 0.217892 | − | 2.07310i | 0.00915060 | − | 0.0870621i | ||||
\(568\) | 28.9243 | − | 32.1237i | 1.21364 | − | 1.34788i | ||||
\(569\) | 8.81501 | + | 3.92469i | 0.369544 | + | 0.164532i | 0.583102 | − | 0.812399i | \(-0.301839\pi\) |
−0.213558 | + | 0.976930i | \(0.568505\pi\) | |||||||
\(570\) | 16.7480 | + | 3.55990i | 0.701497 | + | 0.149108i | ||||
\(571\) | −16.2023 | + | 3.44391i | −0.678046 | + | 0.144123i | −0.534047 | − | 0.845455i | \(-0.679329\pi\) |
−0.143999 | + | 0.989578i | \(0.545996\pi\) | |||||||
\(572\) | 7.73501 | − | 3.44385i | 0.323417 | − | 0.143995i | ||||
\(573\) | −2.68703 | + | 8.26983i | −0.112252 | + | 0.345477i | ||||
\(574\) | −2.69640 | + | 8.29868i | −0.112546 | + | 0.346380i | ||||
\(575\) | −3.78921 | + | 1.68707i | −0.158021 | + | 0.0703555i | ||||
\(576\) | −44.4986 | + | 9.45847i | −1.85411 | + | 0.394103i | ||||
\(577\) | −1.10467 | − | 0.234805i | −0.0459880 | − | 0.00977506i | 0.184860 | − | 0.982765i | \(-0.440817\pi\) |
−0.230848 | + | 0.972990i | \(0.574150\pi\) | |||||||
\(578\) | −0.724518 | − | 0.322576i | −0.0301360 | − | 0.0134174i | ||||
\(579\) | −11.5275 | + | 12.8026i | −0.479066 | + | 0.532057i | ||||
\(580\) | 0.183167 | − | 1.74272i | 0.00760559 | − | 0.0723624i | ||||
\(581\) | 19.1115 | + | 13.8853i | 0.792880 | + | 0.576061i | ||||
\(582\) | −4.94963 | − | 47.0926i | −0.205169 | − | 1.95205i | ||||
\(583\) | 1.12809 | − | 1.95391i | 0.0467207 | − | 0.0809227i | ||||
\(584\) | 34.5786 | + | 59.8920i | 1.43087 | + | 2.47835i | ||||
\(585\) | −4.87914 | + | 3.54490i | −0.201728 | + | 0.146564i | ||||
\(586\) | 31.9365 | + | 35.4690i | 1.31928 | + | 1.46521i | ||||
\(587\) | 8.98992 | + | 27.6681i | 0.371054 | + | 1.14199i | 0.946103 | + | 0.323867i | \(0.104983\pi\) |
−0.575049 | + | 0.818119i | \(0.695017\pi\) | |||||||
\(588\) | −15.4050 | −0.635294 | ||||||||
\(589\) | 30.1043 | + | 16.0772i | 1.24042 | + | 0.662449i | ||||
\(590\) | −28.9320 | −1.19111 | ||||||||
\(591\) | −4.35534 | − | 13.4044i | −0.179155 | − | 0.551381i | ||||
\(592\) | 43.8586 | + | 48.7099i | 1.80258 | + | 2.00196i | ||||
\(593\) | −21.5408 | + | 15.6503i | −0.884575 | + | 0.642681i | −0.934458 | − | 0.356074i | \(-0.884115\pi\) |
0.0498832 | + | 0.998755i | \(0.484115\pi\) | |||||||
\(594\) | 0.337912 | + | 0.585280i | 0.0138647 | + | 0.0240143i | ||||
\(595\) | −4.26132 | + | 7.38081i | −0.174697 | + | 0.302584i | ||||
\(596\) | 11.6980 | + | 111.299i | 0.479171 | + | 4.55900i | ||||
\(597\) | 4.92137 | + | 3.57558i | 0.201418 | + | 0.146339i | ||||
\(598\) | −7.30406 | + | 69.4934i | −0.298685 | + | 2.84180i | ||||
\(599\) | −4.32957 | + | 4.80847i | −0.176901 | + | 0.196469i | −0.825074 | − | 0.565024i | \(-0.808867\pi\) |
0.648173 | + | 0.761493i | \(0.275533\pi\) | |||||||
\(600\) | 9.70413 | + | 4.32056i | 0.396169 | + | 0.176386i | ||||
\(601\) | 20.7856 | + | 4.41811i | 0.847862 | + | 0.180219i | 0.611301 | − | 0.791398i | \(-0.290646\pi\) |
0.236561 | + | 0.971617i | \(0.423980\pi\) | |||||||
\(602\) | 27.1319 | − | 5.76706i | 1.10581 | − | 0.235048i | ||||
\(603\) | 7.64164 | − | 3.40228i | 0.311191 | − | 0.138551i | ||||
\(604\) | 13.3579 | − | 41.1114i | 0.543525 | − | 1.67280i | ||||
\(605\) | 3.38110 | − | 10.4060i | 0.137461 | − | 0.423062i | ||||
\(606\) | 18.4371 | − | 8.20872i | 0.748956 | − | 0.333457i | ||||
\(607\) | 9.25105 | − | 1.96637i | 0.375489 | − | 0.0798126i | −0.0163017 | − | 0.999867i | \(-0.505189\pi\) |
0.391790 | + | 0.920055i | \(0.371856\pi\) | |||||||
\(608\) | −175.204 | − | 37.2407i | −7.10545 | − | 1.51031i | ||||
\(609\) | −0.575059 | − | 0.256033i | −0.0233026 | − | 0.0103750i | ||||
\(610\) | −22.4549 | + | 24.9387i | −0.909174 | + | 1.00974i | ||||
\(611\) | 0.575697 | − | 5.47739i | 0.0232902 | − | 0.221592i | ||||
\(612\) | −19.1938 | − | 13.9451i | −0.775864 | − | 0.563698i | ||||
\(613\) | −2.30819 | − | 21.9610i | −0.0932271 | − | 0.886996i | −0.936773 | − | 0.349939i | \(-0.886202\pi\) |
0.843546 | − | 0.537058i | \(-0.180464\pi\) | |||||||
\(614\) | −5.88278 | + | 10.1893i | −0.237410 | + | 0.411206i | ||||
\(615\) | 0.749275 | + | 1.29778i | 0.0302137 | + | 0.0523317i | ||||
\(616\) | −4.33410 | + | 3.14891i | −0.174626 | + | 0.126873i | ||||
\(617\) | −3.19711 | − | 3.55075i | −0.128711 | − | 0.142948i | 0.675344 | − | 0.737503i | \(-0.263995\pi\) |
−0.804055 | + | 0.594555i | \(0.797328\pi\) | |||||||
\(618\) | 11.6738 | + | 35.9283i | 0.469590 | + | 1.44525i | ||||
\(619\) | −32.6591 | −1.31268 | −0.656340 | − | 0.754465i | \(-0.727896\pi\) | ||||
−0.656340 | + | 0.754465i | \(0.727896\pi\) | |||||||
\(620\) | 24.7119 | + | 20.8126i | 0.992452 | + | 0.835855i | ||||
\(621\) | −4.14781 | −0.166446 | ||||||||
\(622\) | −23.0509 | − | 70.9434i | −0.924257 | − | 2.84457i | ||||
\(623\) | 19.0579 | + | 21.1660i | 0.763539 | + | 0.847996i | ||||
\(624\) | 88.1501 | − | 64.0448i | 3.52883 | − | 2.56384i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 25.0383 | − | 43.3677i | 1.00073 | − | 1.73332i | ||||
\(627\) | 0.155016 | + | 1.47488i | 0.00619075 | + | 0.0589011i | ||||
\(628\) | 31.8887 | + | 23.1685i | 1.27250 | + | 0.924523i | ||||
\(629\) | −1.55048 | + | 14.7518i | −0.0618216 | + | 0.588194i | ||||
\(630\) | 3.89621 | − | 4.32718i | 0.155229 | − | 0.172399i | ||||
\(631\) | −21.5918 | − | 9.61327i | −0.859555 | − | 0.382698i | −0.0708620 | − | 0.997486i | \(-0.522575\pi\) |
−0.788693 | + | 0.614788i | \(0.789242\pi\) | |||||||
\(632\) | 5.18761 | + | 1.10266i | 0.206352 | + | 0.0438615i | ||||
\(633\) | 8.64433 | − | 1.83741i | 0.343581 | − | 0.0730305i | ||||
\(634\) | 7.77480 | − | 3.46156i | 0.308777 | − | 0.137476i | ||||
\(635\) | 5.06215 | − | 15.5797i | 0.200885 | − | 0.618261i | ||||
\(636\) | 16.7218 | − | 51.4645i | 0.663064 | − | 2.04070i | ||||
\(637\) | 14.6266 | − | 6.51217i | 0.579526 | − | 0.258022i | ||||
\(638\) | 0.199624 | − | 0.0424315i | 0.00790321 | − | 0.00167988i | ||||
\(639\) | −3.98043 | − | 0.846066i | −0.157463 | − | 0.0334698i | ||||
\(640\) | −62.6999 | − | 27.9158i | −2.47843 | − | 1.10347i | ||||
\(641\) | 26.8809 | − | 29.8543i | 1.06173 | − | 1.17917i | 0.0784825 | − | 0.996915i | \(-0.474993\pi\) |
0.983251 | − | 0.182259i | \(-0.0583408\pi\) | |||||||
\(642\) | −0.0924353 | + | 0.879464i | −0.00364813 | + | 0.0347097i | ||||
\(643\) | −16.0390 | − | 11.6530i | −0.632516 | − | 0.459550i | 0.224755 | − | 0.974415i | \(-0.427842\pi\) |
−0.857271 | + | 0.514866i | \(0.827842\pi\) | |||||||
\(644\) | −5.24440 | − | 49.8972i | −0.206658 | − | 1.96622i | ||||
\(645\) | 2.38185 | − | 4.12549i | 0.0937853 | − | 0.162441i | ||||
\(646\) | −35.0023 | − | 60.6257i | −1.37715 | − | 2.38529i | ||||
\(647\) | 34.1613 | − | 24.8196i | 1.34302 | − | 0.975760i | 0.343691 | − | 0.939083i | \(-0.388323\pi\) |
0.999327 | − | 0.0366775i | \(-0.0116774\pi\) | |||||||
\(648\) | 7.10783 | + | 7.89405i | 0.279222 | + | 0.310108i | ||||
\(649\) | −0.774362 | − | 2.38324i | −0.0303963 | − | 0.0935503i | ||||
\(650\) | −16.8465 | −0.660776 | ||||||||
\(651\) | 9.85375 | − | 6.13235i | 0.386199 | − | 0.240346i | ||||
\(652\) | 27.8674 | 1.09137 | ||||||||
\(653\) | −7.58770 | − | 23.3525i | −0.296930 | − | 0.913856i | −0.982566 | − | 0.185912i | \(-0.940476\pi\) |
0.685637 | − | 0.727944i | \(-0.259524\pi\) | |||||||
\(654\) | −30.7671 | − | 34.1704i | −1.20309 | − | 1.33617i | ||||
\(655\) | 4.60425 | − | 3.34518i | 0.179903 | − | 0.130707i | ||||
\(656\) | −13.5370 | − | 23.4467i | −0.528529 | − | 0.915439i | ||||
\(657\) | 3.25523 | − | 5.63822i | 0.126999 | − | 0.219968i | ||||
\(658\) | 0.555827 | + | 5.28834i | 0.0216684 | + | 0.206161i | ||||
\(659\) | 0.0959190 | + | 0.0696892i | 0.00373647 | + | 0.00271471i | 0.589652 | − | 0.807657i | \(-0.299265\pi\) |
−0.585915 | + | 0.810372i | \(0.699265\pi\) | |||||||
\(660\) | −0.146750 | + | 1.39624i | −0.00571225 | + | 0.0543485i | ||||
\(661\) | 14.8535 | − | 16.4965i | 0.577735 | − | 0.641640i | −0.381460 | − | 0.924385i | \(-0.624579\pi\) |
0.959195 | + | 0.282745i | \(0.0912452\pi\) | |||||||
\(662\) | −35.7548 | − | 15.9190i | −1.38965 | − | 0.618711i | ||||
\(663\) | 24.1189 | + | 5.12663i | 0.936700 | + | 0.199102i | ||||
\(664\) | −117.750 | + | 25.0286i | −4.56960 | + | 0.971299i | ||||
\(665\) | 11.6727 | − | 5.19701i | 0.452647 | − | 0.201532i | ||||
\(666\) | 3.13164 | − | 9.63818i | 0.121348 | − | 0.373472i | ||||
\(667\) | −0.387059 | + | 1.19125i | −0.0149870 | + | 0.0461252i | ||||
\(668\) | −43.5513 | + | 19.3903i | −1.68505 | + | 0.750234i | ||||
\(669\) | 20.3448 | − | 4.32441i | 0.786574 | − | 0.167191i | ||||
\(670\) | 22.8552 | + | 4.85803i | 0.882974 | + | 0.187682i | ||||
\(671\) | −2.65531 | − | 1.18222i | −0.102507 | − | 0.0456390i | ||||
\(672\) | −40.7589 | + | 45.2673i | −1.57231 | + | 1.74622i | ||||
\(673\) | 2.95307 | − | 28.0966i | 0.113832 | − | 1.08304i | −0.777247 | − | 0.629196i | \(-0.783384\pi\) |
0.891079 | − | 0.453848i | \(-0.149949\pi\) | |||||||
\(674\) | 4.10597 | + | 2.98316i | 0.158156 | + | 0.114907i | ||||
\(675\) | −0.104528 | − | 0.994522i | −0.00402330 | − | 0.0382792i | ||||
\(676\) | −67.8124 | + | 117.455i | −2.60817 | + | 4.51748i | ||||
\(677\) | −6.69296 | − | 11.5926i | −0.257231 | − | 0.445538i | 0.708268 | − | 0.705944i | \(-0.249477\pi\) |
−0.965499 | + | 0.260406i | \(0.916144\pi\) | |||||||
\(678\) | −3.36962 | + | 2.44817i | −0.129409 | + | 0.0940214i | ||||
\(679\) | −23.6445 | − | 26.2599i | −0.907393 | − | 1.00776i | ||||
\(680\) | −13.4207 | − | 41.3047i | −0.514661 | − | 1.58396i | ||||
\(681\) | −14.4882 | −0.555190 | ||||||||
\(682\) | −1.41594 | + | 3.48625i | −0.0542191 | + | 0.133496i | ||||
\(683\) | −50.2255 | −1.92182 | −0.960912 | − | 0.276854i | \(-0.910708\pi\) | ||||
−0.960912 | + | 0.276854i | \(0.910708\pi\) | |||||||
\(684\) | 10.9914 | + | 33.8280i | 0.420267 | + | 1.29345i | ||||
\(685\) | 5.84415 | + | 6.49058i | 0.223293 | + | 0.247992i | ||||
\(686\) | −45.4811 | + | 33.0439i | −1.73648 | + | 1.26162i | ||||
\(687\) | 8.93208 | + | 15.4708i | 0.340780 | + | 0.590248i | ||||
\(688\) | −43.0323 | + | 74.5341i | −1.64059 | + | 2.84158i | ||||
\(689\) | 5.87876 | + | 55.9327i | 0.223963 | + | 2.13087i | ||||
\(690\) | −9.37349 | − | 6.81024i | −0.356843 | − | 0.259261i | ||||
\(691\) | −1.64003 | + | 15.6038i | −0.0623896 | + | 0.593597i | 0.918007 | + | 0.396564i | \(0.129797\pi\) |
−0.980397 | + | 0.197034i | \(0.936869\pi\) | |||||||
\(692\) | −64.3489 | + | 71.4667i | −2.44618 | + | 2.71676i | ||||
\(693\) | 0.460728 | + | 0.205130i | 0.0175016 | + | 0.00779223i | ||||
\(694\) | −39.1503 | − | 8.32165i | −1.48612 | − | 0.315886i | ||||
\(695\) | 7.72038 | − | 1.64102i | 0.292851 | − | 0.0622473i | ||||
\(696\) | 2.93044 | − | 1.30472i | 0.111078 | − | 0.0494551i | ||||
\(697\) | 1.89331 | − | 5.82700i | 0.0717141 | − | 0.220713i | ||||
\(698\) | 24.3010 | − | 74.7908i | 0.919806 | − | 2.83087i | ||||
\(699\) | 20.1458 | − | 8.96948i | 0.761983 | − | 0.339257i | ||||
\(700\) | 11.8317 | − | 2.51491i | 0.447196 | − | 0.0950545i | ||||
\(701\) | 11.9145 | + | 2.53251i | 0.450006 | + | 0.0956517i | 0.427339 | − | 0.904091i | \(-0.359451\pi\) |
0.0226666 | + | 0.999743i | \(0.492784\pi\) | |||||||
\(702\) | −15.3901 | − | 6.85210i | −0.580861 | − | 0.258616i | ||||
\(703\) | 14.8802 | − | 16.5261i | 0.561218 | − | 0.623296i | ||||
\(704\) | 1.15050 | − | 10.9462i | 0.0433609 | − | 0.412552i | ||||
\(705\) | 0.738807 | + | 0.536775i | 0.0278251 | + | 0.0202161i | ||||
\(706\) | 0.0628324 | + | 0.597810i | 0.00236473 | + | 0.0224989i | ||||
\(707\) | 7.53033 | − | 13.0429i | 0.283207 | − | 0.490529i | ||||
\(708\) | −30.0510 | − | 52.0499i | −1.12939 | − | 1.95616i | ||||
\(709\) | 2.82123 | − | 2.04975i | 0.105954 | − | 0.0769798i | −0.533547 | − | 0.845771i | \(-0.679141\pi\) |
0.639500 | + | 0.768791i | \(0.279141\pi\) | |||||||
\(710\) | −7.60608 | − | 8.44741i | −0.285451 | − | 0.317026i | ||||
\(711\) | −0.154283 | − | 0.474835i | −0.00578607 | − | 0.0178077i | ||||
\(712\) | −145.139 | −5.43932 | ||||||||
\(713\) | −14.1849 | − | 18.2242i | −0.531229 | − | 0.682503i | ||||
\(714\) | −23.8067 | −0.890942 | ||||||||
\(715\) | −0.450896 | − | 1.38772i | −0.0168626 | − | 0.0518976i | ||||
\(716\) | −47.7359 | − | 53.0161i | −1.78398 | − | 1.98131i | ||||
\(717\) | −10.4475 | + | 7.59054i | −0.390168 | + | 0.283474i | ||||
\(718\) | 35.9167 | + | 62.2095i | 1.34040 | + | 2.32164i | ||||
\(719\) | −24.7071 | + | 42.7939i | −0.921418 | + | 1.59594i | −0.124194 | + | 0.992258i | \(0.539635\pi\) |
−0.797223 | + | 0.603684i | \(0.793699\pi\) | |||||||
\(720\) | 1.88849 | + | 17.9678i | 0.0703798 | + | 0.669619i | ||||
\(721\) | 22.8071 | + | 16.5703i | 0.849380 | + | 0.617111i | ||||
\(722\) | −5.42283 | + | 51.5948i | −0.201817 | + | 1.92016i | ||||
\(723\) | 2.47062 | − | 2.74390i | 0.0918832 | − | 0.102047i | ||||
\(724\) | −35.6186 | − | 15.8584i | −1.32376 | − | 0.589374i | ||||
\(725\) | −0.295380 | − | 0.0627849i | −0.0109701 | − | 0.00233177i | ||||
\(726\) | 29.8954 | − | 6.35447i | 1.10952 | − | 0.235836i | ||||
\(727\) | 23.0214 | − | 10.2498i | 0.853816 | − | 0.380143i | 0.0673147 | − | 0.997732i | \(-0.478557\pi\) |
0.786502 | + | 0.617588i | \(0.211890\pi\) | |||||||
\(728\) | 41.2668 | − | 127.006i | 1.52945 | − | 4.70716i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 16.6137 | − | 7.39690i | 0.614901 | − | 0.273771i | ||||
\(731\) | −19.0509 | + | 4.04940i | −0.704624 | + | 0.149773i | ||||
\(732\) | −68.1894 | − | 14.4941i | −2.52035 | − | 0.535717i | ||||
\(733\) | −17.2098 | − | 7.66230i | −0.635659 | − | 0.283014i | 0.0634979 | − | 0.997982i | \(-0.479774\pi\) |
−0.699157 | + | 0.714968i | \(0.746441\pi\) | |||||||
\(734\) | 38.4294 | − | 42.6802i | 1.41846 | − | 1.57535i | ||||
\(735\) | −0.277499 | + | 2.64023i | −0.0102357 | + | 0.0973862i | ||||
\(736\) | 98.0576 | + | 71.2430i | 3.61445 | + | 2.62605i | ||||
\(737\) | 0.211543 | + | 2.01270i | 0.00779230 | + | 0.0741387i | ||||
\(738\) | −2.09299 | + | 3.62516i | −0.0770438 | + | 0.133444i | ||||
\(739\) | 16.6168 | + | 28.7812i | 0.611260 | + | 1.05873i | 0.991028 | + | 0.133651i | \(0.0426702\pi\) |
−0.379769 | + | 0.925081i | \(0.623996\pi\) | |||||||
\(740\) | 17.0317 | − | 12.3743i | 0.626098 | − | 0.454887i | ||||
\(741\) | −24.7361 | − | 27.4722i | −0.908703 | − | 1.00922i | ||||
\(742\) | −16.7795 | − | 51.6420i | −0.615995 | − | 1.89584i | ||||
\(743\) | −36.3183 | −1.33239 | −0.666195 | − | 0.745778i | \(-0.732078\pi\) | ||||
−0.666195 | + | 0.745778i | \(0.732078\pi\) | |||||||
\(744\) | −10.3764 | + | 58.2262i | −0.380416 | + | 2.13468i | ||||
\(745\) | 19.2860 | 0.706585 | ||||||||
\(746\) | −2.91563 | − | 8.97340i | −0.106749 | − | 0.328539i | ||||
\(747\) | 7.58303 | + | 8.42180i | 0.277448 | + | 0.308138i | ||||
\(748\) | 4.64376 | − | 3.37389i | 0.169793 | − | 0.123362i | ||||
\(749\) | 0.329955 | + | 0.571499i | 0.0120563 | + | 0.0208821i | ||||
\(750\) | 1.39667 | − | 2.41911i | 0.0509993 | − | 0.0883334i | ||||
\(751\) | −1.24297 | − | 11.8260i | −0.0453565 | − | 0.431538i | −0.993512 | − | 0.113731i | \(-0.963720\pi\) |
0.948155 | − | 0.317808i | \(-0.102947\pi\) | |||||||
\(752\) | −13.3478 | − | 9.69777i | −0.486745 | − | 0.353641i | ||||
\(753\) | 1.88753 | − | 17.9586i | 0.0687854 | − | 0.654449i | ||||
\(754\) | −3.40406 | + | 3.78060i | −0.123969 | + | 0.137681i | ||||
\(755\) | −6.80533 | − | 3.02993i | −0.247671 | − | 0.110270i | ||||
\(756\) | 11.8317 | + | 2.51491i | 0.430315 | + | 0.0914662i | ||||
\(757\) | −41.0668 | + | 8.72902i | −1.49260 | + | 0.317262i | −0.880700 | − | 0.473674i | \(-0.842927\pi\) |
−0.611899 | + | 0.790936i | \(0.709594\pi\) | |||||||
\(758\) | 0.890346 | − | 0.396408i | 0.0323388 | − | 0.0143982i | ||||
\(759\) | 0.310106 | − | 0.954407i | 0.0112561 | − | 0.0346428i | ||||
\(760\) | −20.1207 | + | 61.9251i | −0.729854 | + | 2.24626i | ||||
\(761\) | −30.7207 | + | 13.6777i | −1.11362 | + | 0.495818i | −0.879265 | − | 0.476332i | \(-0.841966\pi\) |
−0.234359 | + | 0.972150i | \(0.575299\pi\) | |||||||
\(762\) | 44.7591 | − | 9.51385i | 1.62145 | − | 0.344650i | ||||
\(763\) | −33.5631 | − | 7.13406i | −1.21507 | − | 0.258270i | ||||
\(764\) | −46.0953 | − | 20.5229i | −1.66767 | − | 0.742494i | ||||
\(765\) | −2.73576 | + | 3.03837i | −0.0989116 | + | 0.109853i | ||||
\(766\) | −4.35914 | + | 41.4744i | −0.157502 | + | 1.49853i | ||||
\(767\) | 50.5355 | + | 36.7162i | 1.82473 | + | 1.32574i | ||||
\(768\) | −10.5294 | − | 100.180i | −0.379946 | − | 3.61494i | ||||
\(769\) | 18.5594 | − | 32.1459i | 0.669271 | − | 1.15921i | −0.308838 | − | 0.951115i | \(-0.599940\pi\) |
0.978108 | − | 0.208096i | \(-0.0667267\pi\) | |||||||
\(770\) | 0.704384 | + | 1.22003i | 0.0253842 | + | 0.0439668i | ||||
\(771\) | −2.47025 | + | 1.79474i | −0.0889640 | + | 0.0646361i | ||||
\(772\) | −66.8916 | − | 74.2906i | −2.40748 | − | 2.67378i | ||||
\(773\) | 9.31703 | + | 28.6749i | 0.335110 | + | 1.03136i | 0.966668 | + | 0.256034i | \(0.0824160\pi\) |
−0.631557 | + | 0.775329i | \(0.717584\pi\) | |||||||
\(774\) | 13.3067 | 0.478298 | ||||||||
\(775\) | 4.01216 | − | 3.86038i | 0.144121 | − | 0.138669i | ||||
\(776\) | 180.069 | 6.46411 | ||||||||
\(777\) | −2.33697 | − | 7.19245i | −0.0838383 | − | 0.258028i | ||||
\(778\) | −27.1670 | − | 30.1720i | −0.973985 | − | 1.08172i | ||||
\(779\) | −7.43127 | + | 5.39914i | −0.266253 | + | 0.193444i | ||||
\(780\) | −17.4982 | − | 30.3077i | −0.626534 | − | 1.08519i | ||||
\(781\) | 0.492270 | − | 0.852637i | 0.0176148 | − | 0.0305098i | ||||
\(782\) | 4.95160 | + | 47.1113i | 0.177069 | + | 1.68470i | ||||
\(783\) | −0.244306 | − | 0.177499i | −0.00873078 | − | 0.00634328i | ||||
\(784\) | 5.01350 | − | 47.7002i | 0.179053 | − | 1.70358i | ||||
\(785\) | 4.54520 | − | 5.04796i | 0.162225 | − | 0.180169i | ||||
\(786\) | 14.5230 | + | 6.46605i | 0.518018 | + | 0.230636i | ||||
\(787\) | 24.3348 | + | 5.17251i | 0.867441 | + | 0.184380i | 0.620075 | − | 0.784542i | \(-0.287102\pi\) |
0.247365 | + | 0.968922i | \(0.420435\pi\) | |||||||
\(788\) | 79.9982 | − | 17.0041i | 2.84982 | − | 0.605748i | ||||
\(789\) | 7.43435 | − | 3.30998i | 0.264670 | − | 0.117839i | ||||
\(790\) | 0.430967 | − | 1.32638i | 0.0153331 | − | 0.0471904i | ||||
\(791\) | −0.960477 | + | 2.95604i | −0.0341506 | + | 0.105105i | ||||
\(792\) | −2.34782 | + | 1.04532i | −0.0834262 | + | 0.0371437i | ||||
\(793\) | 70.8706 | − | 15.0640i | 2.51669 | − | 0.534939i | ||||
\(794\) | −75.0682 | − | 15.9562i | −2.66407 | − | 0.566265i | ||||
\(795\) | −8.51914 | − | 3.79296i | −0.302143 | − | 0.134523i | ||||
\(796\) | −23.6198 | + | 26.2324i | −0.837181 | + | 0.929783i | ||||
\(797\) | 2.29940 | − | 21.8773i | 0.0814488 | − | 0.774933i | −0.875214 | − | 0.483736i | \(-0.839280\pi\) |
0.956663 | − | 0.291198i | \(-0.0940538\pi\) | |||||||
\(798\) | 28.8751 | + | 20.9790i | 1.02217 | + | 0.742647i | ||||
\(799\) | −0.390279 | − | 3.71326i | −0.0138071 | − | 0.131366i | ||||
\(800\) | −14.6108 | + | 25.3067i | −0.516571 | + | 0.894727i | ||||
\(801\) | 6.83169 | + | 11.8328i | 0.241386 | + | 0.418093i | ||||
\(802\) | 2.45262 | − | 1.78193i | 0.0866051 | − | 0.0629223i | ||||
\(803\) | 1.05398 | + | 1.17056i | 0.0371940 | + | 0.0413081i | ||||
\(804\) | 14.9994 | + | 46.1635i | 0.528989 | + | 1.62806i | ||||
\(805\) | −8.64620 | −0.304738 | ||||||||
\(806\) | −22.5257 | − | 91.0526i | −0.793434 | − | 3.20719i | ||||
\(807\) | 3.41411 | 0.120182 | ||||||||
\(808\) | 23.7163 | + | 72.9911i | 0.834335 | + | 2.56782i | ||||
\(809\) | −16.5493 | − | 18.3798i | −0.581841 | − | 0.646200i | 0.378311 | − | 0.925679i | \(-0.376505\pi\) |
−0.960152 | + | 0.279478i | \(0.909838\pi\) | |||||||
\(810\) | 2.25986 | − | 1.64189i | 0.0794035 | − | 0.0576901i | ||||
\(811\) | 17.7623 | + | 30.7652i | 0.623719 | + | 1.08031i | 0.988787 | + | 0.149333i | \(0.0477125\pi\) |
−0.365068 | + | 0.930981i | \(0.618954\pi\) | |||||||
\(812\) | 1.82637 | − | 3.16337i | 0.0640931 | − | 0.111012i | ||||
\(813\) | −0.0402327 | − | 0.382788i | −0.00141102 | − | 0.0134250i | ||||
\(814\) | 1.98360 | + | 1.44117i | 0.0695253 | + | 0.0505131i | ||||
\(815\) | 0.501990 | − | 4.77611i | 0.0175839 | − | 0.167300i | ||||
\(816\) | 49.4262 | − | 54.8934i | 1.73026 | − | 1.92165i | ||||
\(817\) | 26.6753 | + | 11.8766i | 0.933250 | + | 0.415510i | ||||
\(818\) | −33.2989 | − | 7.07789i | −1.16427 | − | 0.247473i | ||||
\(819\) | −12.2969 | + | 2.61379i | −0.429690 | + | 0.0913333i | ||||
\(820\) | −7.94398 | + | 3.53689i | −0.277416 | + | 0.123513i | ||||
\(821\) | 12.4052 | − | 38.1794i | 0.432946 | − | 1.33247i | −0.462231 | − | 0.886759i | \(-0.652951\pi\) |
0.895177 | − | 0.445711i | \(-0.147049\pi\) | |||||||
\(822\) | −7.53906 | + | 23.2028i | −0.262955 | + | 0.809292i | ||||
\(823\) | 28.2352 | − | 12.5711i | 0.984218 | − | 0.438202i | 0.149430 | − | 0.988772i | \(-0.452256\pi\) |
0.834789 | + | 0.550570i | \(0.185590\pi\) | |||||||
\(824\) | −140.519 | + | 29.8683i | −4.89523 | + | 1.04051i | ||||
\(825\) | 0.236653 | + | 0.0503022i | 0.00823922 | + | 0.00175130i | ||||
\(826\) | −55.0953 | − | 24.5300i | −1.91701 | − | 0.853508i | ||||
\(827\) | 22.2673 | − | 24.7303i | 0.774308 | − | 0.859957i | −0.218967 | − | 0.975732i | \(-0.570269\pi\) |
0.993275 | + | 0.115776i | \(0.0369353\pi\) | |||||||
\(828\) | 2.51588 | − | 23.9370i | 0.0874328 | − | 0.831868i | ||||
\(829\) | 31.3304 | + | 22.7629i | 1.08815 | + | 0.790587i | 0.979086 | − | 0.203448i | \(-0.0652148\pi\) |
0.109064 | + | 0.994035i | \(0.465215\pi\) | |||||||
\(830\) | 3.30896 | + | 31.4826i | 0.114856 | + | 1.09278i | ||||
\(831\) | 13.2956 | − | 23.0287i | 0.461220 | − | 0.798857i | ||||
\(832\) | 137.182 | + | 237.607i | 4.75594 | + | 8.23752i | ||||
\(833\) | 8.78115 | − | 6.37988i | 0.304249 | − | 0.221050i | ||||
\(834\) | 14.7526 | + | 16.3845i | 0.510842 | + | 0.567348i | ||||
\(835\) | 2.53874 | + | 7.81342i | 0.0878566 | + | 0.270395i | ||||
\(836\) | −8.60556 | −0.297629 | ||||||||
\(837\) | 5.23545 | − | 1.89474i | 0.180964 | − | 0.0654919i | ||||
\(838\) | −95.4704 | −3.29797 | ||||||||
\(839\) | −12.9143 | − | 39.7461i | −0.445851 | − | 1.37219i | −0.881548 | − | 0.472094i | \(-0.843498\pi\) |
0.435698 | − | 0.900093i | \(-0.356502\pi\) | |||||||
\(840\) | 14.8164 | + | 16.4553i | 0.511216 | + | 0.567762i | ||||
\(841\) | 23.3877 | − | 16.9922i | 0.806473 | − | 0.585937i | ||||
\(842\) | 39.0209 | + | 67.5862i | 1.34475 | + | 2.32917i | ||||
\(843\) | −4.53144 | + | 7.84868i | −0.156071 | + | 0.270323i | ||||
\(844\) | 5.36041 | + | 51.0009i | 0.184513 | + | 1.75552i | ||||
\(845\) | 18.9087 | + | 13.7379i | 0.650477 | + | 0.472600i | ||||
\(846\) | −0.266645 | + | 2.53695i | −0.00916743 | + | 0.0872223i | ||||
\(847\) | 15.2613 | − | 16.9494i | 0.524386 | − | 0.582390i | ||||
\(848\) | 153.913 | + | 68.5264i | 5.28539 | + | 2.35321i | ||||
\(849\) | −18.6921 | − | 3.97313i | −0.641511 | − | 0.136357i | ||||
\(850\) | −11.1711 | + | 2.37449i | −0.383166 | + | 0.0814444i | ||||
\(851\) | −13.7472 | + | 6.12063i | −0.471247 | + | 0.209813i | ||||
\(852\) | 7.29699 | − | 22.4578i | 0.249991 | − | 0.769393i | ||||
\(853\) | −11.8258 | + | 36.3962i | −0.404909 | + | 1.24618i | 0.516062 | + | 0.856551i | \(0.327397\pi\) |
−0.920971 | + | 0.389630i | \(0.872603\pi\) | |||||||
\(854\) | −63.9054 | + | 28.4525i | −2.18680 | + | 0.973625i | ||||
\(855\) | 5.99568 | − | 1.27442i | 0.205048 | − | 0.0435843i | ||||
\(856\) | −3.28935 | − | 0.699172i | −0.112428 | − | 0.0238972i | ||||
\(857\) | −19.4134 | − | 8.64340i | −0.663149 | − | 0.295253i | 0.0474259 | − | 0.998875i | \(-0.484898\pi\) |
−0.710575 | + | 0.703622i | \(0.751565\pi\) | |||||||
\(858\) | 2.72728 | − | 3.02895i | 0.0931079 | − | 0.103407i | ||||
\(859\) | −0.310167 | + | 2.95105i | −0.0105828 | + | 0.100688i | −0.998538 | − | 0.0540502i | \(-0.982787\pi\) |
0.987955 | + | 0.154739i | \(0.0494536\pi\) | |||||||
\(860\) | 22.3634 | + | 16.2480i | 0.762587 | + | 0.554052i | ||||
\(861\) | 0.326522 | + | 3.10665i | 0.0111278 | + | 0.105874i | ||||
\(862\) | 46.9885 | − | 81.3864i | 1.60043 | − | 2.77203i | ||||
\(863\) | −23.0981 | − | 40.0071i | −0.786269 | − | 1.36186i | −0.928238 | − | 0.371987i | \(-0.878676\pi\) |
0.141968 | − | 0.989871i | \(-0.454657\pi\) | |||||||
\(864\) | −23.6408 | + | 17.1761i | −0.804277 | + | 0.584341i | ||||
\(865\) | 11.0893 | + | 12.3159i | 0.377048 | + | 0.418755i | ||||
\(866\) | 7.89374 | + | 24.2944i | 0.268240 | + | 0.825558i | ||||
\(867\) | −0.283919 | −0.00964239 | ||||||||
\(868\) | 29.4129 | + | 60.5856i | 0.998340 | + | 2.05641i | ||||
\(869\) | 0.120794 | 0.00409765 | ||||||||
\(870\) | −0.260665 | − | 0.802245i | −0.00883738 | − | 0.0271987i | ||||
\(871\) | −33.7562 | − | 37.4900i | −1.14378 | − | 1.27030i | ||||
\(872\) | 141.461 | − | 102.777i | 4.79046 | − | 3.48047i | ||||
\(873\) | −8.47585 | − | 14.6806i | −0.286864 | − | 0.496863i | ||||
\(874\) | 35.5098 | − | 61.5047i | 1.20114 | − | 2.08043i | ||||
\(875\) | −0.217892 | − | 2.07310i | −0.00736609 | − | 0.0700837i | ||||
\(876\) | 30.5637 | + | 22.2058i | 1.03265 | + | 0.750265i | ||||
\(877\) | 4.79637 | − | 45.6344i | 0.161962 | − | 1.54097i | −0.547851 | − | 0.836576i | \(-0.684554\pi\) |
0.709813 | − | 0.704390i | \(-0.248779\pi\) | |||||||
\(878\) | 30.0620 | − | 33.3872i | 1.01454 | − | 1.12676i | ||||
\(879\) | 15.6092 | + | 6.94968i | 0.526486 | + | 0.234407i | ||||
\(880\) | −4.27555 | − | 0.908797i | −0.144129 | − | 0.0306355i | ||||
\(881\) | 1.64665 | − | 0.350006i | 0.0554770 | − | 0.0117920i | −0.180090 | − | 0.983650i | \(-0.557639\pi\) |
0.235567 | + | 0.971858i | \(0.424305\pi\) | |||||||
\(882\) | −6.77457 | + | 3.01623i | −0.228112 | + | 0.101562i | ||||
\(883\) | 4.31462 | − | 13.2790i | 0.145199 | − | 0.446875i | −0.851838 | − | 0.523806i | \(-0.824512\pi\) |
0.997036 | + | 0.0769301i | \(0.0245118\pi\) | |||||||
\(884\) | −44.2152 | + | 136.080i | −1.48712 | + | 4.57688i | ||||
\(885\) | −9.46200 | + | 4.21276i | −0.318062 | + | 0.141610i | ||||
\(886\) | 17.0754 | − | 3.62950i | 0.573661 | − | 0.121935i | ||||
\(887\) | 47.9687 | + | 10.1961i | 1.61063 | + | 0.342350i | 0.923325 | − | 0.384019i | \(-0.125460\pi\) |
0.687305 | + | 0.726369i | \(0.258794\pi\) | |||||||
\(888\) | 35.2063 | + | 15.6749i | 1.18145 | + | 0.526014i | ||||
\(889\) | 22.8491 | − | 25.3765i | 0.766336 | − | 0.851102i | ||||
\(890\) | −3.98949 | + | 37.9575i | −0.133728 | + | 1.27234i | ||||
\(891\) | 0.195734 | + | 0.142209i | 0.00655733 | + | 0.00476418i | ||||
\(892\) | 12.6159 | + | 120.033i | 0.422413 | + | 4.01899i | ||||
\(893\) | −2.79884 | + | 4.84773i | −0.0936595 | + | 0.162223i | ||||
\(894\) | 26.9362 | + | 46.6549i | 0.900883 | + | 1.56037i | ||||
\(895\) | −9.94617 | + | 7.22632i | −0.332464 | + | 0.241549i | ||||
\(896\) | −95.7314 | − | 106.320i | −3.19816 | − | 3.55192i | ||||
\(897\) | 7.73013 | + | 23.7909i | 0.258102 | + | 0.794355i | ||||
\(898\) | −24.0273 | −0.801801 | ||||||||
\(899\) | −0.0556140 | − | 1.68043i | −0.00185483 | − | 0.0560453i | ||||
\(900\) | 5.80278 | 0.193426 | ||||||||
\(901\) | 11.7819 | + | 36.2609i | 0.392512 | + | 1.20803i | ||||
\(902\) | −0.677666 | − | 0.752624i | −0.0225638 | − | 0.0250596i | ||||
\(903\) | 8.03357 | − | 5.83673i | 0.267341 | − | 0.194234i | ||||
\(904\) | −7.91944 | − | 13.7169i | −0.263397 | − | 0.456216i | ||||
\(905\) | −3.35955 | + | 5.81891i | −0.111675 | + | 0.193427i | ||||
\(906\) | −2.17510 | − | 20.6947i | −0.0722627 | − | 0.687534i | ||||
\(907\) | −2.99420 | − | 2.17541i | −0.0994207 | − | 0.0722333i | 0.536964 | − | 0.843605i | \(-0.319571\pi\) |
−0.636385 | + | 0.771372i | \(0.719571\pi\) | |||||||
\(908\) | 8.78792 | − | 83.6115i | 0.291637 | − | 2.77474i | ||||
\(909\) | 4.83446 | − | 5.36922i | 0.160349 | − | 0.178086i | ||||
\(910\) | −32.0810 | − | 14.2834i | −1.06347 | − | 0.473489i | ||||
\(911\) | 15.9714 | + | 3.39483i | 0.529156 | + | 0.112476i | 0.464740 | − | 0.885447i | \(-0.346148\pi\) |
0.0644168 | + | 0.997923i | \(0.479481\pi\) | |||||||
\(912\) | −108.322 | + | 23.0246i | −3.58691 | + | 0.762422i | ||||
\(913\) | −2.50478 | + | 1.11520i | −0.0828962 | + | 0.0369078i | ||||
\(914\) | 4.00406 | − | 12.3232i | 0.132442 | − | 0.407616i | ||||
\(915\) | −3.71243 | + | 11.4257i | −0.122729 | + | 0.377722i | ||||
\(916\) | −94.6998 | + | 42.1631i | −3.12897 | + | 1.39311i | ||||
\(917\) | 11.6041 | − | 2.46653i | 0.383202 | − | 0.0814520i | ||||
\(918\) | −11.1711 | − | 2.37449i | −0.368702 | − | 0.0783700i | ||||
\(919\) | −7.95328 | − | 3.54103i | −0.262354 | − | 0.116808i | 0.271344 | − | 0.962482i | \(-0.412532\pi\) |
−0.533699 | + | 0.845675i | \(0.679198\pi\) | |||||||
\(920\) | 29.4819 | − | 32.7430i | 0.971991 | − | 1.07951i | ||||
\(921\) | −0.440274 | + | 4.18892i | −0.0145075 | + | 0.138030i | ||||
\(922\) | −63.1465 | − | 45.8786i | −2.07962 | − | 1.51093i | ||||
\(923\) | 2.56534 | + | 24.4076i | 0.0844393 | + | 0.803387i | ||||
\(924\) | −1.46326 | + | 2.53444i | −0.0481377 | + | 0.0833769i | ||||
\(925\) | −1.81399 | − | 3.14192i | −0.0596435 | − | 0.103306i | ||||
\(926\) | −6.90981 | + | 5.02027i | −0.227070 | + | 0.164976i | ||||
\(927\) | 9.04933 | + | 10.0503i | 0.297219 | + | 0.330095i | ||||
\(928\) | 2.72686 | + | 8.39242i | 0.0895136 | + | 0.275495i | ||||
\(929\) | −30.0814 | −0.986938 | −0.493469 | − | 0.869763i | \(-0.664271\pi\) | ||||
−0.493469 | + | 0.869763i | \(0.664271\pi\) | |||||||
\(930\) | 14.9424 | + | 4.31416i | 0.489980 | + | 0.141467i | ||||
\(931\) | −16.2727 | −0.533318 | ||||||||
\(932\) | 39.5433 | + | 121.702i | 1.29528 | + | 3.98647i | ||||
\(933\) | −17.8686 | − | 19.8451i | −0.584993 | − | 0.649701i | ||||
\(934\) | −15.2190 | + | 11.0573i | −0.497981 | + | 0.361804i | ||||
\(935\) | −0.494590 | − | 0.856656i | −0.0161748 | − | 0.0280156i | ||||
\(936\) | 32.0319 | − | 55.4808i | 1.04699 | − | 1.81345i | ||||
\(937\) | 2.42323 | + | 23.0555i | 0.0791634 | + | 0.753189i | 0.960044 | + | 0.279850i | \(0.0902848\pi\) |
−0.880880 | + | 0.473339i | \(0.843049\pi\) | |||||||
\(938\) | 39.4044 | + | 28.6290i | 1.28660 | + | 0.934770i | ||||
\(939\) | 1.87389 | − | 17.8289i | 0.0611522 | − | 0.581825i | ||||
\(940\) | −3.54585 | + | 3.93807i | −0.115653 | + | 0.128446i | ||||
\(941\) | −24.3914 | − | 10.8597i | −0.795135 | − | 0.354017i | −0.0313674 | − | 0.999508i | \(-0.509986\pi\) |
−0.763768 | + | 0.645491i | \(0.776653\pi\) | |||||||
\(942\) | 18.5597 | + | 3.94499i | 0.604709 | + | 0.128535i | ||||
\(943\) | 6.07987 | − | 1.29232i | 0.197988 | − | 0.0420836i | ||||
\(944\) | 170.947 | − | 76.1107i | 5.56387 | − | 2.47719i | ||||
\(945\) | 0.644153 | − | 1.98250i | 0.0209543 | − | 0.0644907i | ||||
\(946\) | −0.994856 | + | 3.06185i | −0.0323456 | + | 0.0995494i | ||||
\(947\) | 21.2095 | − | 9.44310i | 0.689218 | − | 0.306859i | −0.0320794 | − | 0.999485i | \(-0.510213\pi\) |
0.721297 | + | 0.692626i | \(0.243546\pi\) | |||||||
\(948\) | 2.83385 | − | 0.602354i | 0.0920392 | − | 0.0195635i | ||||
\(949\) | −38.4062 | − | 8.16350i | −1.24672 | − | 0.264998i | ||||
\(950\) | 15.6419 | + | 6.96422i | 0.507490 | + | 0.225949i | ||||
\(951\) | 2.03866 | − | 2.26416i | 0.0661081 | − | 0.0734205i | ||||
\(952\) | 9.46313 | − | 90.0356i | 0.306702 | − | 2.91807i | ||||
\(953\) | 21.7059 | + | 15.7703i | 0.703124 | + | 0.510850i | 0.880948 | − | 0.473213i | \(-0.156906\pi\) |
−0.177824 | + | 0.984062i | \(0.556906\pi\) | |||||||
\(954\) | −2.72286 | − | 25.9062i | −0.0881557 | − | 0.838746i | ||||
\(955\) | −4.34771 | + | 7.53045i | −0.140688 | + | 0.243680i | ||||
\(956\) | −37.4680 | − | 64.8964i | −1.21180 | − | 2.09890i | ||||
\(957\) | 0.0591075 | − | 0.0429441i | 0.00191067 | − | 0.00138818i | ||||
\(958\) | −23.6806 | − | 26.2999i | −0.765084 | − | 0.849712i | ||||
\(959\) | 5.62599 | + | 17.3150i | 0.181673 | + | 0.559131i | ||||
\(960\) | −45.4927 | −1.46827 | ||||||||
\(961\) | 26.2294 | + | 16.5233i | 0.846110 | + | 0.533008i | ||||
\(962\) | −61.1188 | −1.97055 | ||||||||
\(963\) | 0.0978275 | + | 0.301082i | 0.00315245 | + | 0.00970224i | ||||
\(964\) | 14.3365 | + | 15.9222i | 0.461746 | + | 0.512821i | ||||
\(965\) | −13.9374 | + | 10.1261i | −0.448661 | + | 0.325971i | ||||
\(966\) | −12.0759 | − | 20.9161i | −0.388536 | − | 0.672964i | ||||
\(967\) | −4.82197 | + | 8.35190i | −0.155064 | + | 0.268579i | −0.933082 | − | 0.359663i | \(-0.882892\pi\) |
0.778018 | + | 0.628242i | \(0.216225\pi\) | |||||||
\(968\) | 12.1489 | + | 115.589i | 0.390480 | + | 3.71517i | ||||
\(969\) | −20.2749 | − | 14.7306i | −0.651324 | − | 0.473215i | ||||
\(970\) | 4.94963 | − | 47.0926i | 0.158923 | − | 1.51205i | ||||
\(971\) | 34.0728 | − | 37.8417i | 1.09345 | − | 1.21440i | 0.118271 | − | 0.992981i | \(-0.462265\pi\) |
0.975179 | − | 0.221418i | \(-0.0710684\pi\) | |||||||
\(972\) | 5.30111 | + | 2.36020i | 0.170033 | + | 0.0757036i | ||||
\(973\) | 16.0933 | + | 3.42074i | 0.515928 | + | 0.109664i | ||||
\(974\) | −18.5913 | + | 3.95171i | −0.595705 | + | 0.126621i | ||||
\(975\) | −5.50955 | + | 2.45301i | −0.176447 | + | 0.0785592i | ||||
\(976\) | 67.0715 | − | 206.425i | 2.14691 | − | 6.60750i | ||||
\(977\) | −0.507558 | + | 1.56210i | −0.0162382 | + | 0.0499761i | −0.958847 | − | 0.283922i | \(-0.908364\pi\) |
0.942609 | + | 0.333898i | \(0.108364\pi\) | |||||||
\(978\) | 12.2551 | − | 5.45630i | 0.391873 | − | 0.174473i | ||||
\(979\) | −3.23349 | + | 0.687299i | −0.103343 | + | 0.0219662i | ||||
\(980\) | −15.0684 | − | 3.20289i | −0.481343 | − | 0.102313i | ||||
\(981\) | −15.0377 | − | 6.69522i | −0.480117 | − | 0.213762i | ||||
\(982\) | −1.99971 | + | 2.22090i | −0.0638133 | + | 0.0708719i | ||||
\(983\) | 2.95809 | − | 28.1443i | 0.0943483 | − | 0.897664i | −0.840307 | − | 0.542110i | \(-0.817626\pi\) |
0.934656 | − | 0.355554i | \(-0.115708\pi\) | |||||||
\(984\) | −12.8782 | − | 9.35656i | −0.410542 | − | 0.298276i | ||||
\(985\) | −1.47324 | − | 14.0170i | −0.0469414 | − | 0.446618i | ||||
\(986\) | −1.72440 | + | 2.98675i | −0.0549161 | + | 0.0951175i | ||||
\(987\) | 0.951809 | + | 1.64858i | 0.0302964 | + | 0.0524750i | ||||
\(988\) | 173.546 | − | 126.088i | 5.52123 | − | 4.01141i | ||||
\(989\) | −13.2213 | − | 14.6837i | −0.420413 | − | 0.466916i | ||||
\(990\) | 0.208841 | + | 0.642746i | 0.00663740 | + | 0.0204278i | ||||
\(991\) | 18.1458 | 0.576419 | 0.288210 | − | 0.957567i | \(-0.406940\pi\) | ||||
0.288210 | + | 0.957567i | \(0.406940\pi\) | |||||||
\(992\) | −156.315 | − | 45.1311i | −4.96299 | − | 1.43291i | ||||
\(993\) | −14.0113 | −0.444636 | ||||||||
\(994\) | −7.32215 | − | 22.5353i | −0.232245 | − | 0.714775i | ||||
\(995\) | 4.07042 | + | 4.52066i | 0.129041 | + | 0.143315i | ||||
\(996\) | −53.2017 | + | 38.6533i | −1.68576 | + | 1.22478i | ||||
\(997\) | −19.5402 | − | 33.8447i | −0.618846 | − | 1.07187i | −0.989697 | − | 0.143180i | \(-0.954267\pi\) |
0.370851 | − | 0.928692i | \(-0.379066\pi\) | |||||||
\(998\) | −31.0408 | + | 53.7642i | −0.982578 | + | 1.70187i | ||||
\(999\) | −0.379226 | − | 3.60810i | −0.0119982 | − | 0.114155i |
(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 | 465.2.bg.c.361.6 | yes | 48 | |
31.14 | even | 15 | inner | 465.2.bg.c.76.6 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
465.2.bg.c.76.6 | ✓ | 48 | 31.14 | even | 15 | inner | |
465.2.bg.c.361.6 | yes | 48 | 1.1 | even | 1 | trivial |