Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Character | \(\chi\) | \(=\) | 354.79 |
Dual form | 354.2.e.b.121.1 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{4}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.907575 | − | 0.419889i | −0.641753 | − | 0.296906i | ||||
\(3\) | 0.947653 | − | 0.319302i | 0.547128 | − | 0.184349i | ||||
\(4\) | 0.647386 | + | 0.762162i | 0.323693 | + | 0.381081i | ||||
\(5\) | −1.91571 | + | 1.15265i | −0.856734 | + | 0.515480i | −0.874871 | − | 0.484356i | \(-0.839054\pi\) |
0.0181373 | + | 0.999836i | \(0.494226\pi\) | |||||||
\(6\) | −0.994138 | − | 0.108119i | −0.405855 | − | 0.0441394i | ||||
\(7\) | 0.0631741 | + | 1.16518i | 0.0238776 | + | 0.440396i | 0.985890 | + | 0.167392i | \(0.0535345\pi\) |
−0.962013 | + | 0.273004i | \(0.911983\pi\) | |||||||
\(8\) | −0.267528 | − | 0.963550i | −0.0945856 | − | 0.340666i | ||||
\(9\) | 0.796093 | − | 0.605174i | 0.265364 | − | 0.201725i | ||||
\(10\) | 2.22264 | − | 0.241727i | 0.702860 | − | 0.0764407i | ||||
\(11\) | 0.268157 | + | 1.63568i | 0.0808523 | + | 0.493177i | 0.995947 | + | 0.0899389i | \(0.0286672\pi\) |
−0.915095 | + | 0.403238i | \(0.867885\pi\) | |||||||
\(12\) | 0.856857 | + | 0.515554i | 0.247353 | + | 0.148828i | ||||
\(13\) | 2.88253 | + | 2.19124i | 0.799471 | + | 0.607742i | 0.923088 | − | 0.384588i | \(-0.125656\pi\) |
−0.123617 | + | 0.992330i | \(0.539450\pi\) | |||||||
\(14\) | 0.431910 | − | 1.08401i | 0.115433 | − | 0.289715i | ||||
\(15\) | −1.44739 | + | 1.70400i | −0.373715 | + | 0.439971i | ||||
\(16\) | −0.161782 | + | 0.986827i | −0.0404455 | + | 0.246707i | ||||
\(17\) | −0.179305 | + | 3.30709i | −0.0434879 | + | 0.802086i | 0.892714 | + | 0.450624i | \(0.148798\pi\) |
−0.936202 | + | 0.351463i | \(0.885684\pi\) | |||||||
\(18\) | −0.976621 | + | 0.214970i | −0.230192 | + | 0.0506690i | ||||
\(19\) | 3.45205 | + | 3.26996i | 0.791956 | + | 0.750180i | 0.972379 | − | 0.233409i | \(-0.0749881\pi\) |
−0.180423 | + | 0.983589i | \(0.557747\pi\) | |||||||
\(20\) | −2.11871 | − | 0.713877i | −0.473758 | − | 0.159628i | ||||
\(21\) | 0.431910 | + | 1.08401i | 0.0942505 | + | 0.236551i | ||||
\(22\) | 0.443433 | − | 1.59710i | 0.0945403 | − | 0.340503i | ||||
\(23\) | 0.109899 | + | 0.0241907i | 0.0229156 | + | 0.00504411i | 0.226413 | − | 0.974031i | \(-0.427300\pi\) |
−0.203498 | + | 0.979075i | \(0.565231\pi\) | |||||||
\(24\) | −0.561187 | − | 0.827689i | −0.114552 | − | 0.168951i | ||||
\(25\) | −0.000675007 | 0.00127320i | −0.000135001 | 0.000254639i | ||||||
\(26\) | −1.69604 | − | 3.19906i | −0.332620 | − | 0.627388i | ||||
\(27\) | 0.561187 | − | 0.827689i | 0.108001 | − | 0.159289i | ||||
\(28\) | −0.847156 | + | 0.802469i | −0.160097 | + | 0.151652i | ||||
\(29\) | −1.29927 | + | 0.601105i | −0.241268 | + | 0.111622i | −0.536797 | − | 0.843711i | \(-0.680366\pi\) |
0.295530 | + | 0.955334i | \(0.404504\pi\) | |||||||
\(30\) | 2.02911 | − | 0.938765i | 0.370463 | − | 0.171394i | ||||
\(31\) | 1.66505 | − | 1.57722i | 0.299051 | − | 0.283276i | −0.523430 | − | 0.852069i | \(-0.675348\pi\) |
0.822481 | + | 0.568792i | \(0.192589\pi\) | |||||||
\(32\) | 0.561187 | − | 0.827689i | 0.0992048 | − | 0.146316i | ||||
\(33\) | 0.776396 | + | 1.46444i | 0.135153 | + | 0.254926i | ||||
\(34\) | 1.55134 | − | 2.92614i | 0.266053 | − | 0.501829i | ||||
\(35\) | −1.46406 | − | 2.15933i | −0.247472 | − | 0.364993i | ||||
\(36\) | 0.976621 | + | 0.214970i | 0.162770 | + | 0.0358284i | ||||
\(37\) | 0.961983 | − | 3.46475i | 0.158149 | − | 0.569601i | −0.841424 | − | 0.540376i | \(-0.818282\pi\) |
0.999573 | − | 0.0292255i | \(-0.00930409\pi\) | |||||||
\(38\) | −1.75998 | − | 4.41722i | −0.285506 | − | 0.716567i | ||||
\(39\) | 3.43131 | + | 1.15614i | 0.549449 | + | 0.185131i | ||||
\(40\) | 1.62314 | + | 1.53752i | 0.256641 | + | 0.243103i | ||||
\(41\) | −0.297680 | + | 0.0655243i | −0.0464898 | + | 0.0102332i | −0.238154 | − | 0.971227i | \(-0.576542\pi\) |
0.191665 | + | 0.981460i | \(0.438611\pi\) | |||||||
\(42\) | 0.0631741 | − | 1.16518i | 0.00974797 | − | 0.179791i | ||||
\(43\) | −0.582536 | + | 3.55332i | −0.0888360 | + | 0.541876i | 0.904486 | + | 0.426503i | \(0.140255\pi\) |
−0.993322 | + | 0.115373i | \(0.963194\pi\) | |||||||
\(44\) | −1.07306 | + | 1.26330i | −0.161769 | + | 0.190449i | ||||
\(45\) | −0.827535 | + | 2.07696i | −0.123362 | + | 0.309614i | ||||
\(46\) | −0.0895846 | − | 0.0681004i | −0.0132085 | − | 0.0100409i | ||||
\(47\) | 1.19796 | + | 0.720786i | 0.174740 | + | 0.105137i | 0.600237 | − | 0.799822i | \(-0.295073\pi\) |
−0.425497 | + | 0.904960i | \(0.639901\pi\) | |||||||
\(48\) | 0.161782 | + | 0.986827i | 0.0233512 | + | 0.142436i | ||||
\(49\) | 5.60532 | − | 0.609615i | 0.800760 | − | 0.0870879i | ||||
\(50\) | 0.00114722 | 0.000872095i | 0.000162242 | 0.000123333i | ||||||
\(51\) | 0.886039 | + | 3.19122i | 0.124070 | + | 0.446861i | ||||
\(52\) | 0.196029 | + | 3.61554i | 0.0271843 | + | 0.501385i | ||||
\(53\) | −1.98430 | − | 0.215806i | −0.272565 | − | 0.0296432i | −0.0291841 | − | 0.999574i | \(-0.509291\pi\) |
−0.243381 | + | 0.969931i | \(0.578256\pi\) | |||||||
\(54\) | −0.856857 | + | 0.515554i | −0.116603 | + | 0.0701580i | ||||
\(55\) | −2.39908 | − | 2.82441i | −0.323492 | − | 0.380844i | ||||
\(56\) | 1.10581 | − | 0.372589i | 0.147770 | − | 0.0497894i | ||||
\(57\) | 4.31545 | + | 1.99654i | 0.571596 | + | 0.264448i | ||||
\(58\) | 1.43158 | 0.187976 | ||||||||
\(59\) | 7.48999 | − | 1.70296i | 0.975113 | − | 0.221707i | ||||
\(60\) | −2.23575 | −0.288634 | ||||||||
\(61\) | −9.95262 | − | 4.60457i | −1.27430 | − | 0.589555i | −0.338131 | − | 0.941099i | \(-0.609795\pi\) |
−0.936171 | + | 0.351544i | \(0.885657\pi\) | |||||||
\(62\) | −2.17341 | + | 0.732308i | −0.276024 | + | 0.0930032i | ||||
\(63\) | 0.755428 | + | 0.889358i | 0.0951750 | + | 0.112049i | ||||
\(64\) | −0.856857 | + | 0.515554i | −0.107107 | + | 0.0644442i | ||||
\(65\) | −8.04784 | − | 0.875256i | −0.998212 | − | 0.108562i | ||||
\(66\) | −0.0897363 | − | 1.65509i | −0.0110458 | − | 0.203727i | ||||
\(67\) | 1.01288 | + | 3.64807i | 0.123743 | + | 0.445682i | 0.999299 | − | 0.0374344i | \(-0.0119185\pi\) |
−0.875556 | + | 0.483117i | \(0.839505\pi\) | |||||||
\(68\) | −2.63662 | + | 2.00430i | −0.319737 | + | 0.243057i | ||||
\(69\) | 0.111871 | − | 0.0121667i | 0.0134676 | − | 0.00146469i | ||||
\(70\) | 0.422068 | + | 2.57450i | 0.0504467 | + | 0.307711i | ||||
\(71\) | −8.76503 | − | 5.27374i | −1.04022 | − | 0.625878i | −0.110395 | − | 0.993888i | \(-0.535212\pi\) |
−0.929822 | + | 0.368010i | \(0.880039\pi\) | |||||||
\(72\) | −0.796093 | − | 0.605174i | −0.0938205 | − | 0.0713205i | ||||
\(73\) | 2.36115 | − | 5.92605i | 0.276352 | − | 0.693592i | −0.723642 | − | 0.690175i | \(-0.757533\pi\) |
0.999994 | − | 0.00341606i | \(-0.00108737\pi\) | |||||||
\(74\) | −2.32788 | + | 2.74059i | −0.270611 | + | 0.318588i | ||||
\(75\) | −0.000233138 | 0.00142208i | −2.69205e−5 | 0.000164208i | ||||||
\(76\) | −0.257426 | + | 4.74795i | −0.0295288 | + | 0.544627i | ||||
\(77\) | −1.88892 | + | 0.415783i | −0.215263 | + | 0.0473829i | ||||
\(78\) | −2.62872 | − | 2.49006i | −0.297644 | − | 0.281943i | ||||
\(79\) | −8.73252 | − | 2.94233i | −0.982485 | − | 0.331038i | −0.218191 | − | 0.975906i | \(-0.570016\pi\) |
−0.764294 | + | 0.644868i | \(0.776912\pi\) | |||||||
\(80\) | −0.827535 | − | 2.07696i | −0.0925212 | − | 0.232211i | ||||
\(81\) | 0.267528 | − | 0.963550i | 0.0297254 | − | 0.107061i | ||||
\(82\) | 0.297680 | + | 0.0655243i | 0.0328733 | + | 0.00723595i | ||||
\(83\) | −1.97315 | − | 2.91017i | −0.216581 | − | 0.319433i | 0.703842 | − | 0.710356i | \(-0.251466\pi\) |
−0.920423 | + | 0.390923i | \(0.872156\pi\) | |||||||
\(84\) | −0.546581 | + | 1.03096i | −0.0596368 | + | 0.112487i | ||||
\(85\) | −3.46841 | − | 6.54211i | −0.376202 | − | 0.709592i | ||||
\(86\) | 2.02069 | − | 2.98030i | 0.217897 | − | 0.321374i | ||||
\(87\) | −1.03932 | + | 0.984497i | −0.111427 | + | 0.105549i | ||||
\(88\) | 1.50432 | − | 0.695974i | 0.160361 | − | 0.0741911i | ||||
\(89\) | 8.16055 | − | 3.77547i | 0.865017 | − | 0.400199i | 0.0633649 | − | 0.997990i | \(-0.479817\pi\) |
0.801652 | + | 0.597791i | \(0.203955\pi\) | |||||||
\(90\) | 1.62314 | − | 1.53752i | 0.171094 | − | 0.162069i | ||||
\(91\) | −2.37109 | + | 3.49709i | −0.248558 | + | 0.366595i | ||||
\(92\) | 0.0527101 | + | 0.0994218i | 0.00549541 | + | 0.0103654i | ||||
\(93\) | 1.07428 | − | 2.02631i | 0.111398 | − | 0.210118i | ||||
\(94\) | −0.784585 | − | 1.15718i | −0.0809238 | − | 0.119354i | ||||
\(95\) | −10.3823 | − | 2.28531i | −1.06520 | − | 0.234468i | ||||
\(96\) | 0.267528 | − | 0.963550i | 0.0273045 | − | 0.0983419i | ||||
\(97\) | −6.01099 | − | 15.0865i | −0.610324 | − | 1.53180i | −0.830897 | − | 0.556427i | \(-0.812172\pi\) |
0.220573 | − | 0.975370i | \(-0.429207\pi\) | |||||||
\(98\) | −5.34322 | − | 1.80034i | −0.539747 | − | 0.181862i | ||||
\(99\) | 1.20335 | + | 1.13988i | 0.120941 | + | 0.114562i | ||||
\(100\) | −0.00140737 | 0.000309786i | −0.000140737 | 3.09786e-5i | ||||||
\(101\) | 0.321879 | − | 5.93670i | 0.0320281 | − | 0.590724i | −0.937836 | − | 0.347078i | \(-0.887174\pi\) |
0.969864 | − | 0.243646i | \(-0.0783434\pi\) | |||||||
\(102\) | 0.535813 | − | 3.26831i | 0.0530534 | − | 0.323611i | ||||
\(103\) | −10.6429 | + | 12.5297i | −1.04867 | + | 1.23459i | −0.0773057 | + | 0.997007i | \(0.524632\pi\) |
−0.971367 | + | 0.237585i | \(0.923644\pi\) | |||||||
\(104\) | 1.34021 | − | 3.36369i | 0.131419 | − | 0.329836i | ||||
\(105\) | −2.07690 | − | 1.57882i | −0.202685 | − | 0.154077i | ||||
\(106\) | 1.71029 | + | 1.02905i | 0.166118 | + | 0.0999499i | ||||
\(107\) | 0.00900002 | + | 0.0548977i | 0.000870065 | + | 0.00530716i | 0.987258 | − | 0.159128i | \(-0.0508682\pi\) |
−0.986388 | + | 0.164435i | \(0.947420\pi\) | |||||||
\(108\) | 0.994138 | − | 0.108119i | 0.0956610 | − | 0.0104038i | ||||
\(109\) | 5.71061 | − | 4.34109i | 0.546977 | − | 0.415801i | −0.294854 | − | 0.955542i | \(-0.595271\pi\) |
0.841831 | + | 0.539741i | \(0.181478\pi\) | |||||||
\(110\) | 0.991404 | + | 3.57072i | 0.0945267 | + | 0.340454i | ||||
\(111\) | −0.194674 | − | 3.59054i | −0.0184776 | − | 0.340799i | ||||
\(112\) | −1.16005 | − | 0.126163i | −0.109614 | − | 0.0119213i | ||||
\(113\) | −6.20216 | + | 3.73171i | −0.583450 | + | 0.351050i | −0.776479 | − | 0.630143i | \(-0.782996\pi\) |
0.193029 | + | 0.981193i | \(0.438169\pi\) | |||||||
\(114\) | −3.07827 | − | 3.62402i | −0.288307 | − | 0.339421i | ||||
\(115\) | −0.238419 | + | 0.0803328i | −0.0222327 | + | 0.00749107i | ||||
\(116\) | −1.29927 | − | 0.601105i | −0.120634 | − | 0.0558112i | ||||
\(117\) | 3.62085 | 0.334748 | ||||||||
\(118\) | −7.51278 | − | 1.59940i | −0.691608 | − | 0.147237i | ||||
\(119\) | −3.86467 | −0.354274 | ||||||||
\(120\) | 2.02911 | + | 0.938765i | 0.185231 | + | 0.0856972i | ||||
\(121\) | 7.82063 | − | 2.63508i | 0.710966 | − | 0.239552i | ||||
\(122\) | 7.09934 | + | 8.35799i | 0.642744 | + | 0.756697i | ||||
\(123\) | −0.261175 | + | 0.157144i | −0.0235494 | + | 0.0141692i | ||||
\(124\) | 2.28002 | + | 0.247968i | 0.204752 | + | 0.0222681i | ||||
\(125\) | −0.605379 | − | 11.1656i | −0.0541467 | − | 0.998677i | ||||
\(126\) | −0.312176 | − | 1.12436i | −0.0278108 | − | 0.100166i | ||||
\(127\) | −10.5024 | + | 7.98372i | −0.931938 | + | 0.708441i | −0.956646 | − | 0.291254i | \(-0.905927\pi\) |
0.0247081 | + | 0.999695i | \(0.492134\pi\) | |||||||
\(128\) | 0.994138 | − | 0.108119i | 0.0878702 | − | 0.00955646i | ||||
\(129\) | 0.582536 | + | 3.55332i | 0.0512895 | + | 0.312852i | ||||
\(130\) | 6.93652 | + | 4.17356i | 0.608373 | + | 0.366046i | ||||
\(131\) | 15.3221 | + | 11.6476i | 1.33870 | + | 1.01765i | 0.996965 | + | 0.0778573i | \(0.0248079\pi\) |
0.341736 | + | 0.939796i | \(0.388985\pi\) | |||||||
\(132\) | −0.613511 | + | 1.53980i | −0.0533993 | + | 0.134022i | ||||
\(133\) | −3.59200 | + | 4.22883i | −0.311466 | + | 0.366686i | ||||
\(134\) | 0.612518 | − | 3.73619i | 0.0529135 | − | 0.322758i | ||||
\(135\) | −0.121041 | + | 2.23247i | −0.0104175 | + | 0.192140i | ||||
\(136\) | 3.23451 | − | 0.711970i | 0.277357 | − | 0.0610509i | ||||
\(137\) | 8.42994 | + | 7.98526i | 0.720218 | + | 0.682227i | 0.957246 | − | 0.289276i | \(-0.0934145\pi\) |
−0.237027 | + | 0.971503i | \(0.576173\pi\) | |||||||
\(138\) | −0.106640 | − | 0.0359311i | −0.00907777 | − | 0.00305866i | ||||
\(139\) | −3.56267 | − | 8.94162i | −0.302182 | − | 0.758418i | −0.999146 | − | 0.0413131i | \(-0.986846\pi\) |
0.696965 | − | 0.717105i | \(-0.254533\pi\) | |||||||
\(140\) | 0.697946 | − | 2.51377i | 0.0589872 | − | 0.212453i | ||||
\(141\) | 1.36539 | + | 0.300546i | 0.114987 | + | 0.0253105i | ||||
\(142\) | 5.74054 | + | 8.46666i | 0.481735 | + | 0.710506i | ||||
\(143\) | −2.81121 | + | 5.30251i | −0.235086 | + | 0.443418i | ||||
\(144\) | 0.468408 | + | 0.883512i | 0.0390340 | + | 0.0736260i | ||||
\(145\) | 1.79616 | − | 2.64914i | 0.149163 | − | 0.219999i | ||||
\(146\) | −4.63121 | + | 4.38691i | −0.383282 | + | 0.363064i | ||||
\(147\) | 5.11725 | − | 2.36749i | 0.422063 | − | 0.195267i | ||||
\(148\) | 3.26347 | − | 1.50984i | 0.268256 | − | 0.124108i | ||||
\(149\) | 14.5447 | − | 13.7774i | 1.19154 | − | 1.12869i | 0.202778 | − | 0.979225i | \(-0.435003\pi\) |
0.988767 | − | 0.149466i | \(-0.0477555\pi\) | |||||||
\(150\) | 0.000808707 | − | 0.00119275i | 6.60306e−5 | − | 9.73879e-5i | ||||
\(151\) | 3.98349 | + | 7.51366i | 0.324172 | + | 0.611453i | 0.991016 | − | 0.133744i | \(-0.0427001\pi\) |
−0.666844 | + | 0.745197i | \(0.732355\pi\) | |||||||
\(152\) | 2.22725 | − | 4.20103i | 0.180654 | − | 0.340749i | ||||
\(153\) | 1.85862 | + | 2.74126i | 0.150261 | + | 0.221618i | ||||
\(154\) | 1.88892 | + | 0.415783i | 0.152214 | + | 0.0335048i | ||||
\(155\) | −1.37178 | + | 4.94071i | −0.110184 | + | 0.396847i | ||||
\(156\) | 1.34021 | + | 3.36369i | 0.107303 | + | 0.269310i | ||||
\(157\) | 15.9975 | + | 5.39018i | 1.27674 | + | 0.430183i | 0.874354 | − | 0.485288i | \(-0.161285\pi\) |
0.402383 | + | 0.915471i | \(0.368182\pi\) | |||||||
\(158\) | 6.68997 | + | 6.33707i | 0.532225 | + | 0.504150i | ||||
\(159\) | −1.94934 | + | 0.429082i | −0.154593 | + | 0.0340284i | ||||
\(160\) | −0.121041 | + | 2.23247i | −0.00956912 | + | 0.176492i | ||||
\(161\) | −0.0212436 | + | 0.129580i | −0.00167423 | + | 0.0102124i | ||||
\(162\) | −0.647386 | + | 0.762162i | −0.0508635 | + | 0.0598811i | ||||
\(163\) | −3.38415 | + | 8.49357i | −0.265067 | + | 0.665268i | −0.999916 | − | 0.0129631i | \(-0.995874\pi\) |
0.734849 | + | 0.678231i | \(0.237253\pi\) | |||||||
\(164\) | −0.242654 | − | 0.184461i | −0.0189481 | − | 0.0144040i | ||||
\(165\) | −3.17533 | − | 1.91054i | −0.247199 | − | 0.148735i | ||||
\(166\) | 0.568829 | + | 3.46971i | 0.0441497 | + | 0.269301i | ||||
\(167\) | 1.15140 | − | 0.125222i | 0.0890980 | − | 0.00968999i | −0.0634614 | − | 0.997984i | \(-0.520214\pi\) |
0.152559 | + | 0.988294i | \(0.451248\pi\) | |||||||
\(168\) | 0.928952 | − | 0.706171i | 0.0716702 | − | 0.0544823i | ||||
\(169\) | 0.0295762 | + | 0.106524i | 0.00227509 | + | 0.00819414i | ||||
\(170\) | 0.400881 | + | 7.39381i | 0.0307461 | + | 0.567079i | ||||
\(171\) | 4.72705 | + | 0.514098i | 0.361487 | + | 0.0393140i | ||||
\(172\) | −3.08533 | + | 1.85638i | −0.235254 | + | 0.141548i | ||||
\(173\) | 7.21077 | + | 8.48917i | 0.548225 | + | 0.645420i | 0.964583 | − | 0.263781i | \(-0.0849696\pi\) |
−0.416358 | + | 0.909201i | \(0.636694\pi\) | |||||||
\(174\) | 1.35664 | − | 0.457106i | 0.102847 | − | 0.0346531i | ||||
\(175\) | −0.00152614 | 0.000706069i | −0.000115366 | 5.33738e-5i | ||||||
\(176\) | −1.65752 | −0.124940 | ||||||||
\(177\) | 6.55415 | − | 4.00538i | 0.492640 | − | 0.301063i | ||||
\(178\) | −8.99160 | −0.673949 | ||||||||
\(179\) | 16.3457 | + | 7.56232i | 1.22173 | + | 0.565234i | 0.921406 | − | 0.388602i | \(-0.127042\pi\) |
0.300328 | + | 0.953836i | \(0.402904\pi\) | |||||||
\(180\) | −2.11871 | + | 0.713877i | −0.157919 | + | 0.0532093i | ||||
\(181\) | −9.18116 | − | 10.8089i | −0.682430 | − | 0.803419i | 0.306489 | − | 0.951874i | \(-0.400846\pi\) |
−0.988919 | + | 0.148455i | \(0.952570\pi\) | |||||||
\(182\) | 3.62033 | − | 2.17828i | 0.268357 | − | 0.161465i | ||||
\(183\) | −10.9019 | − | 1.18565i | −0.805890 | − | 0.0876458i | ||||
\(184\) | −0.00609227 | − | 0.112365i | −0.000449128 | − | 0.00828367i | ||||
\(185\) | 2.15075 | + | 7.74630i | 0.158126 | + | 0.569519i | ||||
\(186\) | −1.82581 | + | 1.38795i | −0.133875 | + | 0.101769i | ||||
\(187\) | −5.45743 | + | 0.593532i | −0.399087 | + | 0.0434033i | ||||
\(188\) | 0.226184 | + | 1.37966i | 0.0164962 | + | 0.100622i | ||||
\(189\) | 0.999857 | + | 0.601594i | 0.0727289 | + | 0.0437595i | ||||
\(190\) | 8.46311 | + | 6.43349i | 0.613979 | + | 0.466734i | ||||
\(191\) | −2.80831 | + | 7.04833i | −0.203202 | + | 0.509999i | −0.994894 | − | 0.100921i | \(-0.967821\pi\) |
0.791692 | + | 0.610920i | \(0.209200\pi\) | |||||||
\(192\) | −0.647386 | + | 0.762162i | −0.0467211 | + | 0.0550043i | ||||
\(193\) | 1.96059 | − | 11.9591i | 0.141127 | − | 0.860834i | −0.817450 | − | 0.576000i | \(-0.804613\pi\) |
0.958577 | − | 0.284835i | \(-0.0919388\pi\) | |||||||
\(194\) | −0.879208 | + | 16.2160i | −0.0631235 | + | 1.16424i | ||||
\(195\) | −7.90604 | + | 1.74025i | −0.566163 | + | 0.124622i | ||||
\(196\) | 4.09343 | + | 3.87750i | 0.292388 | + | 0.276965i | ||||
\(197\) | 19.1669 | + | 6.45809i | 1.36559 | + | 0.460120i | 0.904212 | − | 0.427085i | \(-0.140459\pi\) |
0.461376 | + | 0.887205i | \(0.347356\pi\) | |||||||
\(198\) | −0.613511 | − | 1.53980i | −0.0436003 | − | 0.109429i | ||||
\(199\) | 0.658025 | − | 2.36999i | 0.0466461 | − | 0.168004i | −0.936558 | − | 0.350512i | \(-0.886008\pi\) |
0.983204 | + | 0.182508i | \(0.0584214\pi\) | |||||||
\(200\) | 0.00140737 | 0.000309786i | 9.95163e−5 | 2.19052e-5i | ||||||
\(201\) | 2.12469 | + | 3.13369i | 0.149864 | + | 0.221033i | ||||
\(202\) | −2.78489 | + | 5.25285i | −0.195944 | + | 0.369589i | ||||
\(203\) | −0.782474 | − | 1.47590i | −0.0549189 | − | 0.103588i | ||||
\(204\) | −1.85862 | + | 2.74126i | −0.130129 | + | 0.191927i | ||||
\(205\) | 0.494744 | − | 0.468646i | 0.0345544 | − | 0.0327317i | ||||
\(206\) | 14.9203 | − | 6.90287i | 1.03955 | − | 0.480946i | ||||
\(207\) | 0.102130 | − | 0.0472502i | 0.00709850 | − | 0.00328412i | ||||
\(208\) | −2.62872 | + | 2.49006i | −0.182269 | + | 0.172654i | ||||
\(209\) | −4.42293 | + | 6.52333i | −0.305940 | + | 0.451228i | ||||
\(210\) | 1.22202 | + | 2.30497i | 0.0843271 | + | 0.159058i | ||||
\(211\) | 7.91708 | − | 14.9332i | 0.545034 | − | 1.02804i | −0.446076 | − | 0.894995i | \(-0.647179\pi\) |
0.991110 | − | 0.133048i | \(-0.0424764\pi\) | |||||||
\(212\) | −1.12013 | − | 1.65207i | −0.0769309 | − | 0.113465i | ||||
\(213\) | −9.99012 | − | 2.19899i | −0.684512 | − | 0.150672i | ||||
\(214\) | 0.0148828 | − | 0.0536028i | 0.00101736 | − | 0.00366421i | ||||
\(215\) | −2.97975 | − | 7.47860i | −0.203217 | − | 0.510036i | ||||
\(216\) | −0.947653 | − | 0.319302i | −0.0644796 | − | 0.0217257i | ||||
\(217\) | 1.94293 | + | 1.84044i | 0.131894 | + | 0.124937i | ||||
\(218\) | −7.00558 | + | 1.54205i | −0.474478 | + | 0.104440i | ||||
\(219\) | 0.345358 | − | 6.36976i | 0.0233372 | − | 0.430428i | ||||
\(220\) | 0.599530 | − | 3.65697i | 0.0404203 | − | 0.246553i | ||||
\(221\) | −7.76349 | + | 9.13989i | −0.522229 | + | 0.614815i | ||||
\(222\) | −1.33095 | + | 3.34043i | −0.0893274 | + | 0.224195i | ||||
\(223\) | −18.9986 | − | 14.4424i | −1.27224 | − | 0.967134i | −0.999988 | − | 0.00490918i | \(-0.998437\pi\) |
−0.272255 | − | 0.962225i | \(-0.587770\pi\) | |||||||
\(224\) | 0.999857 | + | 0.601594i | 0.0668058 | + | 0.0401957i | ||||
\(225\) | 0.000233138 | 0.00142208i | 1.55425e−5 | 9.48053e-5i | ||||||
\(226\) | 7.19583 | − | 0.782594i | 0.478660 | − | 0.0520574i | ||||
\(227\) | 6.12276 | − | 4.65440i | 0.406382 | − | 0.308924i | −0.381939 | − | 0.924187i | \(-0.624744\pi\) |
0.788321 | + | 0.615264i | \(0.210951\pi\) | |||||||
\(228\) | 1.27208 | + | 4.58161i | 0.0842454 | + | 0.303424i | ||||
\(229\) | −1.24351 | − | 22.9351i | −0.0821732 | − | 1.51559i | −0.691327 | − | 0.722542i | \(-0.742973\pi\) |
0.609153 | − | 0.793052i | \(-0.291509\pi\) | |||||||
\(230\) | 0.250114 | + | 0.0272016i | 0.0164920 | + | 0.00179362i | ||||
\(231\) | −1.65728 | + | 0.997154i | −0.109041 | + | 0.0656079i | ||||
\(232\) | 0.926785 | + | 1.09110i | 0.0608464 | + | 0.0716339i | ||||
\(233\) | 12.3480 | − | 4.16052i | 0.808944 | − | 0.272565i | 0.115715 | − | 0.993282i | \(-0.463084\pi\) |
0.693229 | + | 0.720718i | \(0.256188\pi\) | |||||||
\(234\) | −3.28619 | − | 1.52036i | −0.214825 | − | 0.0993887i | ||||
\(235\) | −3.12575 | −0.203902 | ||||||||
\(236\) | 6.14685 | + | 4.60611i | 0.400126 | + | 0.299832i | ||||
\(237\) | −9.21489 | −0.598571 | ||||||||
\(238\) | 3.50748 | + | 1.62273i | 0.227356 | + | 0.105186i | ||||
\(239\) | 17.0884 | − | 5.75774i | 1.10535 | − | 0.372437i | 0.293300 | − | 0.956020i | \(-0.405246\pi\) |
0.812053 | + | 0.583583i | \(0.198350\pi\) | |||||||
\(240\) | −1.44739 | − | 1.70400i | −0.0934287 | − | 0.109993i | ||||
\(241\) | −4.81117 | + | 2.89478i | −0.309915 | + | 0.186469i | −0.662011 | − | 0.749494i | \(-0.730297\pi\) |
0.352096 | + | 0.935964i | \(0.385469\pi\) | |||||||
\(242\) | −8.20425 | − | 0.892266i | −0.527389 | − | 0.0573570i | ||||
\(243\) | −0.0541389 | − | 0.998533i | −0.00347301 | − | 0.0640559i | ||||
\(244\) | −2.93376 | − | 10.5664i | −0.187815 | − | 0.676447i | ||||
\(245\) | −10.0355 | + | 7.62880i | −0.641146 | + | 0.487386i | ||||
\(246\) | 0.303019 | − | 0.0329553i | 0.0193198 | − | 0.00210116i | ||||
\(247\) | 2.78538 | + | 16.9901i | 0.177229 | + | 1.08105i | ||||
\(248\) | −1.96517 | − | 1.18241i | −0.124789 | − | 0.0750829i | ||||
\(249\) | −2.79908 | − | 2.12781i | −0.177385 | − | 0.134844i | ||||
\(250\) | −4.13887 | + | 10.3878i | −0.261765 | + | 0.656980i | ||||
\(251\) | 1.57386 | − | 1.85289i | 0.0993409 | − | 0.116953i | −0.710245 | − | 0.703955i | \(-0.751416\pi\) |
0.809586 | + | 0.587001i | \(0.199692\pi\) | |||||||
\(252\) | −0.188782 | + | 1.15152i | −0.0118921 | + | 0.0725387i | ||||
\(253\) | −0.0100980 | + | 0.186248i | −0.000634859 | + | 0.0117093i | ||||
\(254\) | 12.8840 | − | 2.83598i | 0.808414 | − | 0.177945i | ||||
\(255\) | −5.37575 | − | 5.09218i | −0.336643 | − | 0.318885i | ||||
\(256\) | −0.947653 | − | 0.319302i | −0.0592283 | − | 0.0199563i | ||||
\(257\) | −8.03934 | − | 20.1772i | −0.501480 | − | 1.25862i | −0.934090 | − | 0.357039i | \(-0.883786\pi\) |
0.432609 | − | 0.901581i | \(-0.357593\pi\) | |||||||
\(258\) | 0.963303 | − | 3.46950i | 0.0599726 | − | 0.216002i | ||||
\(259\) | 4.09782 | + | 0.901998i | 0.254626 | + | 0.0560474i | ||||
\(260\) | −4.54298 | − | 6.70039i | −0.281743 | − | 0.415541i | ||||
\(261\) | −0.670564 | + | 1.26482i | −0.0415069 | + | 0.0782903i | ||||
\(262\) | −9.01529 | − | 17.0046i | −0.556967 | − | 1.05055i | ||||
\(263\) | −15.5817 | + | 22.9813i | −0.960809 | + | 1.41709i | −0.0525777 | + | 0.998617i | \(0.516744\pi\) |
−0.908231 | + | 0.418470i | \(0.862567\pi\) | |||||||
\(264\) | 1.20335 | − | 1.13988i | 0.0740612 | − | 0.0701545i | ||||
\(265\) | 4.05010 | − | 1.87378i | 0.248796 | − | 0.115105i | ||||
\(266\) | 5.03565 | − | 2.32974i | 0.308756 | − | 0.142846i | ||||
\(267\) | 6.52786 | − | 6.18352i | 0.399498 | − | 0.378425i | ||||
\(268\) | −2.12469 | + | 3.13369i | −0.129786 | + | 0.191420i | ||||
\(269\) | 6.48843 | + | 12.2385i | 0.395607 | + | 0.746193i | 0.998673 | − | 0.0514977i | \(-0.0163995\pi\) |
−0.603067 | + | 0.797691i | \(0.706055\pi\) | |||||||
\(270\) | 1.04724 | − | 1.97531i | 0.0637331 | − | 0.120213i | ||||
\(271\) | 9.02607 | + | 13.3125i | 0.548295 | + | 0.808674i | 0.996353 | − | 0.0853302i | \(-0.0271945\pi\) |
−0.448058 | + | 0.894005i | \(0.647884\pi\) | |||||||
\(272\) | −3.23451 | − | 0.711970i | −0.196121 | − | 0.0431695i | ||||
\(273\) | −1.13034 | + | 4.07112i | −0.0684114 | + | 0.246396i | ||||
\(274\) | −4.29788 | − | 10.7869i | −0.259645 | − | 0.651659i | ||||
\(275\) | −0.00226356 | 0.000762681i | −0.000136498 | 4.59914e-5i | ||||||
\(276\) | 0.0816965 | + | 0.0773870i | 0.00491755 | + | 0.00465815i | ||||
\(277\) | −1.10631 | + | 0.243516i | −0.0664715 | + | 0.0146315i | −0.248082 | − | 0.968739i | \(-0.579800\pi\) |
0.181610 | + | 0.983371i | \(0.441869\pi\) | |||||||
\(278\) | −0.521100 | + | 9.61112i | −0.0312535 | + | 0.576437i | ||||
\(279\) | 0.371042 | − | 2.26326i | 0.0222137 | − | 0.135498i | ||||
\(280\) | −1.68894 | + | 1.98838i | −0.100934 | + | 0.118828i | ||||
\(281\) | 2.04719 | − | 5.13806i | 0.122125 | − | 0.306511i | −0.855185 | − | 0.518322i | \(-0.826557\pi\) |
0.977311 | + | 0.211811i | \(0.0679362\pi\) | |||||||
\(282\) | −1.11300 | − | 0.846083i | −0.0662783 | − | 0.0503835i | ||||
\(283\) | 20.4281 | + | 12.2912i | 1.21433 | + | 0.730636i | 0.970947 | − | 0.239294i | \(-0.0769161\pi\) |
0.243380 | + | 0.969931i | \(0.421744\pi\) | |||||||
\(284\) | −1.65491 | − | 10.0945i | −0.0982010 | − | 0.598999i | ||||
\(285\) | −10.5685 | + | 1.14939i | −0.626023 | + | 0.0680841i | ||||
\(286\) | 4.77786 | − | 3.63203i | 0.282521 | − | 0.214767i | ||||
\(287\) | −0.0951531 | − | 0.342711i | −0.00561671 | − | 0.0202296i | ||||
\(288\) | −0.0541389 | − | 0.998533i | −0.00319017 | − | 0.0588391i | ||||
\(289\) | 5.99567 | + | 0.652068i | 0.352686 | + | 0.0383570i | ||||
\(290\) | −2.74250 | + | 1.65011i | −0.161045 | + | 0.0968976i | ||||
\(291\) | −10.5135 | − | 12.3774i | −0.616310 | − | 0.725576i | ||||
\(292\) | 6.04519 | − | 2.03686i | 0.353768 | − | 0.119198i | ||||
\(293\) | −24.4803 | − | 11.3258i | −1.43016 | − | 0.661660i | −0.456508 | − | 0.889719i | \(-0.650900\pi\) |
−0.973647 | + | 0.228059i | \(0.926762\pi\) | |||||||
\(294\) | −5.63837 | −0.328836 | ||||||||
\(295\) | −12.3858 | + | 11.8957i | −0.721127 | + | 0.692595i | ||||
\(296\) | −3.59582 | −0.209003 | ||||||||
\(297\) | 1.50432 | + | 0.695974i | 0.0872897 | + | 0.0403845i | ||||
\(298\) | −18.9854 | + | 6.39691i | −1.09979 | + | 0.370563i | ||||
\(299\) | 0.263781 | + | 0.310547i | 0.0152548 | + | 0.0179594i | ||||
\(300\) | −0.00123479 | 0.000742946i | −7.12904e−5 | 4.28940e-5i | ||||||
\(301\) | −4.17704 | − | 0.454281i | −0.240761 | − | 0.0261843i | ||||
\(302\) | −0.460414 | − | 8.49184i | −0.0264938 | − | 0.488650i | ||||
\(303\) | −1.59057 | − | 5.72871i | −0.0913758 | − | 0.329106i | ||||
\(304\) | −3.78536 | + | 2.87756i | −0.217105 | + | 0.165039i | ||||
\(305\) | 24.3738 | − | 2.65081i | 1.39564 | − | 0.151785i | ||||
\(306\) | −0.535813 | − | 3.26831i | −0.0306304 | − | 0.186837i | ||||
\(307\) | 4.50291 | + | 2.70931i | 0.256995 | + | 0.154629i | 0.638221 | − | 0.769853i | \(-0.279671\pi\) |
−0.381226 | + | 0.924482i | \(0.624498\pi\) | |||||||
\(308\) | −1.53976 | − | 1.17049i | −0.0877358 | − | 0.0666950i | ||||
\(309\) | −6.08498 | + | 15.2721i | −0.346162 | + | 0.868801i | ||||
\(310\) | 3.31955 | − | 3.90807i | 0.188537 | − | 0.221964i | ||||
\(311\) | 2.54804 | − | 15.5423i | 0.144486 | − | 0.881325i | −0.810731 | − | 0.585419i | \(-0.800930\pi\) |
0.955217 | − | 0.295906i | \(-0.0956217\pi\) | |||||||
\(312\) | 0.196029 | − | 3.61554i | 0.0110979 | − | 0.204690i | ||||
\(313\) | −22.2696 | + | 4.90192i | −1.25875 | + | 0.277073i | −0.793755 | − | 0.608238i | \(-0.791877\pi\) |
−0.464999 | + | 0.885311i | \(0.653945\pi\) | |||||||
\(314\) | −12.2556 | − | 11.6092i | −0.691626 | − | 0.655143i | ||||
\(315\) | −2.47230 | − | 0.833015i | −0.139298 | − | 0.0469351i | ||||
\(316\) | −3.41078 | − | 8.56041i | −0.191871 | − | 0.481561i | ||||
\(317\) | −0.454814 | + | 1.63809i | −0.0255449 | + | 0.0920043i | −0.975224 | − | 0.221221i | \(-0.928996\pi\) |
0.949679 | + | 0.313225i | \(0.101410\pi\) | |||||||
\(318\) | 1.94934 | + | 0.429082i | 0.109313 | + | 0.0240617i | ||||
\(319\) | −1.33162 | − | 1.96400i | −0.0745567 | − | 0.109963i | ||||
\(320\) | 1.04724 | − | 1.97531i | 0.0585426 | − | 0.110423i | ||||
\(321\) | 0.0260578 | + | 0.0491503i | 0.00145441 | + | 0.00274330i | ||||
\(322\) | 0.0736896 | − | 0.108684i | 0.00410656 | − | 0.00605673i | ||||
\(323\) | −11.4330 | + | 10.8299i | −0.636150 | + | 0.602593i | ||||
\(324\) | 0.907575 | − | 0.419889i | 0.0504209 | − | 0.0233272i | ||||
\(325\) | −0.00473562 | + | 0.00219093i | −0.000262685 | + | 0.000121531i | ||||
\(326\) | 6.63772 | − | 6.28759i | 0.367630 | − | 0.348237i | ||||
\(327\) | 4.02556 | − | 5.93725i | 0.222614 | − | 0.328331i | ||||
\(328\) | 0.142774 | + | 0.269300i | 0.00788336 | + | 0.0148696i | ||||
\(329\) | −0.764164 | + | 1.44137i | −0.0421297 | + | 0.0794651i | ||||
\(330\) | 2.07964 | + | 3.06724i | 0.114481 | + | 0.168846i | ||||
\(331\) | −10.0656 | − | 2.21561i | −0.553256 | − | 0.121781i | −0.0704613 | − | 0.997515i | \(-0.522447\pi\) |
−0.482794 | + | 0.875734i | \(0.660378\pi\) | |||||||
\(332\) | 0.940636 | − | 3.38786i | 0.0516241 | − | 0.185933i | ||||
\(333\) | −1.33095 | − | 3.34043i | −0.0729355 | − | 0.183054i | ||||
\(334\) | −1.09756 | − | 0.369812i | −0.0600559 | − | 0.0202352i | ||||
\(335\) | −6.14532 | − | 5.82116i | −0.335755 | − | 0.318044i | ||||
\(336\) | −1.13961 | + | 0.250847i | −0.0621707 | + | 0.0136848i | ||||
\(337\) | 0.0777869 | − | 1.43470i | 0.00423732 | − | 0.0781528i | −0.995650 | − | 0.0931739i | \(-0.970299\pi\) |
0.999887 | + | 0.0150210i | \(0.00478152\pi\) | |||||||
\(338\) | 0.0178856 | − | 0.109097i | 0.000972846 | − | 0.00593410i | ||||
\(339\) | −4.68595 | + | 5.51673i | −0.254506 | + | 0.299628i | ||||
\(340\) | 2.74075 | − | 6.87876i | 0.148638 | − | 0.373053i | ||||
\(341\) | 3.02632 | + | 2.30055i | 0.163885 | + | 0.124582i | ||||
\(342\) | −4.07429 | − | 2.45142i | −0.220312 | − | 0.132558i | ||||
\(343\) | 2.38589 | + | 14.5533i | 0.128826 | + | 0.785804i | ||||
\(344\) | 3.57964 | − | 0.389310i | 0.193001 | − | 0.0209902i | ||||
\(345\) | −0.200288 | + | 0.152255i | −0.0107832 | + | 0.00819714i | ||||
\(346\) | −2.97980 | − | 10.7323i | −0.160195 | − | 0.576971i | ||||
\(347\) | −1.01237 | − | 18.6720i | −0.0543468 | − | 1.00237i | −0.890819 | − | 0.454358i | \(-0.849869\pi\) |
0.836472 | − | 0.548009i | \(-0.184614\pi\) | |||||||
\(348\) | −1.42319 | − | 0.154781i | −0.0762909 | − | 0.00829713i | ||||
\(349\) | 1.23675 | − | 0.744125i | 0.0662015 | − | 0.0398321i | −0.482068 | − | 0.876134i | \(-0.660114\pi\) |
0.548270 | + | 0.836302i | \(0.315287\pi\) | |||||||
\(350\) | 0.00108862 | + | 0.00128162i | 5.81892e−5 | + | 6.85056e-5i | ||||
\(351\) | 3.43131 | − | 1.15614i | 0.183150 | − | 0.0617103i | ||||
\(352\) | 1.50432 | + | 0.695974i | 0.0801807 | + | 0.0370956i | ||||
\(353\) | −30.0048 | −1.59700 | −0.798498 | − | 0.601997i | \(-0.794372\pi\) | ||||
−0.798498 | + | 0.601997i | \(0.794372\pi\) | |||||||
\(354\) | −7.63020 | + | 0.883167i | −0.405541 | + | 0.0469398i | ||||
\(355\) | 22.8701 | 1.21382 | ||||||||
\(356\) | 8.16055 | + | 3.77547i | 0.432508 | + | 0.200100i | ||||
\(357\) | −3.66237 | + | 1.23400i | −0.193833 | + | 0.0653100i | ||||
\(358\) | −11.6596 | − | 13.7267i | −0.616229 | − | 0.725481i | ||||
\(359\) | 17.8627 | − | 10.7476i | 0.942756 | − | 0.567238i | 0.0408480 | − | 0.999165i | \(-0.486994\pi\) |
0.901908 | + | 0.431928i | \(0.142166\pi\) | |||||||
\(360\) | 2.22264 | + | 0.241727i | 0.117143 | + | 0.0127401i | ||||
\(361\) | 0.195404 | + | 3.60402i | 0.0102844 | + | 0.189685i | ||||
\(362\) | 3.79406 | + | 13.6650i | 0.199411 | + | 0.718214i | ||||
\(363\) | 6.56986 | − | 4.99428i | 0.344828 | − | 0.262132i | ||||
\(364\) | −4.20036 | + | 0.456817i | −0.220159 | + | 0.0239437i | ||||
\(365\) | 2.30735 | + | 14.0742i | 0.120772 | + | 0.736677i | ||||
\(366\) | 9.39644 | + | 5.65365i | 0.491160 | + | 0.295521i | ||||
\(367\) | 18.6512 | + | 14.1783i | 0.973584 | + | 0.740099i | 0.965644 | − | 0.259869i | \(-0.0836795\pi\) |
0.00793991 | + | 0.999968i | \(0.497473\pi\) | |||||||
\(368\) | −0.0416517 | + | 0.104538i | −0.00217125 | + | 0.00544942i | ||||
\(369\) | −0.197327 | + | 0.232312i | −0.0102725 | + | 0.0120937i | ||||
\(370\) | 1.30062 | − | 7.93343i | 0.0676160 | − | 0.412439i | ||||
\(371\) | 0.126096 | − | 2.32570i | 0.00654656 | − | 0.120744i | ||||
\(372\) | 2.23985 | − | 0.493028i | 0.116131 | − | 0.0255623i | ||||
\(373\) | 13.9144 | + | 13.1804i | 0.720460 | + | 0.682456i | 0.957301 | − | 0.289092i | \(-0.0933534\pi\) |
−0.236841 | + | 0.971548i | \(0.576112\pi\) | |||||||
\(374\) | 5.20225 | + | 1.75284i | 0.269002 | + | 0.0906373i | ||||
\(375\) | −4.13887 | − | 10.3878i | −0.213730 | − | 0.536422i | ||||
\(376\) | 0.374026 | − | 1.34712i | 0.0192889 | − | 0.0694725i | ||||
\(377\) | −5.06235 | − | 1.11431i | −0.260724 | − | 0.0573897i | ||||
\(378\) | −0.654843 | − | 0.965821i | −0.0336815 | − | 0.0496765i | ||||
\(379\) | −3.23375 | + | 6.09950i | −0.166106 | + | 0.313310i | −0.952566 | − | 0.304332i | \(-0.901567\pi\) |
0.786460 | + | 0.617642i | \(0.211912\pi\) | |||||||
\(380\) | −4.97956 | − | 9.39244i | −0.255446 | − | 0.481822i | ||||
\(381\) | −7.40342 | + | 10.9192i | −0.379289 | + | 0.559409i | ||||
\(382\) | 5.50827 | − | 5.21771i | 0.281828 | − | 0.266961i | ||||
\(383\) | −33.6927 | + | 15.5879i | −1.72162 | + | 0.796505i | −0.727759 | + | 0.685833i | \(0.759438\pi\) |
−0.993857 | + | 0.110672i | \(0.964700\pi\) | |||||||
\(384\) | 0.907575 | − | 0.419889i | 0.0463145 | − | 0.0214274i | ||||
\(385\) | 3.13938 | − | 2.97378i | 0.159998 | − | 0.151558i | ||||
\(386\) | −6.80088 | + | 10.0305i | −0.346156 | + | 0.510541i | ||||
\(387\) | 1.68662 | + | 3.18131i | 0.0857358 | + | 0.161715i | ||||
\(388\) | 7.60689 | − | 14.3481i | 0.386181 | − | 0.728415i | ||||
\(389\) | 3.01587 | + | 4.44807i | 0.152911 | + | 0.225526i | 0.896427 | − | 0.443192i | \(-0.146154\pi\) |
−0.743516 | + | 0.668718i | \(0.766843\pi\) | |||||||
\(390\) | 7.90604 | + | 1.74025i | 0.400338 | + | 0.0881210i | ||||
\(391\) | −0.0997062 | + | 0.359109i | −0.00504236 | + | 0.0181609i | ||||
\(392\) | −2.08698 | − | 5.23791i | −0.105408 | − | 0.264555i | ||||
\(393\) | 18.2391 | + | 6.14548i | 0.920043 | + | 0.309999i | ||||
\(394\) | −14.6838 | − | 13.9092i | −0.739757 | − | 0.700735i | ||||
\(395\) | 20.1205 | − | 4.42885i | 1.01237 | − | 0.222840i | ||||
\(396\) | −0.0897363 | + | 1.65509i | −0.00450942 | + | 0.0831713i | ||||
\(397\) | 5.31670 | − | 32.4304i | 0.266837 | − | 1.62764i | −0.424727 | − | 0.905321i | \(-0.639630\pi\) |
0.691565 | − | 0.722314i | \(-0.256922\pi\) | |||||||
\(398\) | −1.59234 | + | 1.87465i | −0.0798168 | + | 0.0939676i | ||||
\(399\) | −2.05370 | + | 5.15440i | −0.102814 | + | 0.258043i | ||||
\(400\) | −0.00114722 | 0.000872095i | −5.73611e−5 | 4.36047e-5i | ||||||
\(401\) | 8.66069 | + | 5.21097i | 0.432494 | + | 0.260223i | 0.715113 | − | 0.699009i | \(-0.246375\pi\) |
−0.282618 | + | 0.959232i | \(0.591203\pi\) | |||||||
\(402\) | −0.612518 | − | 3.73619i | −0.0305496 | − | 0.186344i | ||||
\(403\) | 8.25562 | − | 0.897853i | 0.411242 | − | 0.0447252i | ||||
\(404\) | 4.73311 | − | 3.59802i | 0.235481 | − | 0.179008i | ||||
\(405\) | 0.598125 | + | 2.15425i | 0.0297211 | + | 0.107046i | ||||
\(406\) | 0.0904387 | + | 1.66804i | 0.00448840 | + | 0.0827837i | ||||
\(407\) | 5.92520 | + | 0.644404i | 0.293701 | + | 0.0319419i | ||||
\(408\) | 2.83786 | − | 1.70749i | 0.140495 | − | 0.0845331i | ||||
\(409\) | 21.5168 | + | 25.3315i | 1.06394 | + | 1.25256i | 0.966321 | + | 0.257340i | \(0.0828460\pi\) |
0.0976166 | + | 0.995224i | \(0.468878\pi\) | |||||||
\(410\) | −0.645796 | + | 0.217594i | −0.0318936 | + | 0.0107462i | ||||
\(411\) | 10.5384 | + | 4.87557i | 0.519819 | + | 0.240494i | ||||
\(412\) | −16.4397 | −0.809928 | ||||||||
\(413\) | 2.45742 | + | 8.61958i | 0.120922 | + | 0.424142i | ||||
\(414\) | −0.112530 | −0.00553056 | ||||||||
\(415\) | 7.13439 | + | 3.30072i | 0.350214 | + | 0.162026i | ||||
\(416\) | 3.43131 | − | 1.15614i | 0.168234 | − | 0.0566846i | ||||
\(417\) | −6.23125 | − | 7.33599i | −0.305145 | − | 0.359245i | ||||
\(418\) | 6.75322 | − | 4.06328i | 0.330311 | − | 0.198741i | ||||
\(419\) | −33.1560 | − | 3.60593i | −1.61978 | − | 0.176161i | −0.747187 | − | 0.664614i | \(-0.768596\pi\) |
−0.872590 | + | 0.488453i | \(0.837561\pi\) | |||||||
\(420\) | −0.141241 | − | 2.60504i | −0.00689186 | − | 0.127113i | ||||
\(421\) | −0.0900469 | − | 0.324319i | −0.00438862 | − | 0.0158064i | 0.961323 | − | 0.275423i | \(-0.0888178\pi\) |
−0.965712 | + | 0.259616i | \(0.916404\pi\) | |||||||
\(422\) | −13.4556 | + | 10.2287i | −0.655010 | + | 0.497925i | ||||
\(423\) | 1.38989 | − | 0.151159i | 0.0675785 | − | 0.00734961i | ||||
\(424\) | 0.322917 | + | 1.96971i | 0.0156823 | + | 0.0956575i | ||||
\(425\) | −0.00408954 | − | 0.00246060i | −0.000198372 | − | 0.000119356i | ||||
\(426\) | 8.14345 | + | 6.19049i | 0.394552 | + | 0.299930i | ||||
\(427\) | 4.73640 | − | 11.8875i | 0.229210 | − | 0.575274i | ||||
\(428\) | −0.0360145 | + | 0.0423995i | −0.00174082 | + | 0.00204946i | ||||
\(429\) | −0.970956 | + | 5.92257i | −0.0468782 | + | 0.285944i | ||||
\(430\) | −0.435838 | + | 8.03855i | −0.0210180 | + | 0.387654i | ||||
\(431\) | −0.170526 | + | 0.0375357i | −0.00821397 | + | 0.00180803i | −0.219076 | − | 0.975708i | \(-0.570304\pi\) |
0.210862 | + | 0.977516i | \(0.432373\pi\) | |||||||
\(432\) | 0.725995 | + | 0.687699i | 0.0349295 | + | 0.0330870i | ||||
\(433\) | −28.8866 | − | 9.73303i | −1.38820 | − | 0.467740i | −0.476711 | − | 0.879060i | \(-0.658171\pi\) |
−0.911491 | + | 0.411320i | \(0.865068\pi\) | |||||||
\(434\) | −0.990572 | − | 2.48615i | −0.0475490 | − | 0.119339i | ||||
\(435\) | 0.856264 | − | 3.08398i | 0.0410547 | − | 0.147866i | ||||
\(436\) | 7.00558 | + | 1.54205i | 0.335507 | + | 0.0738506i | ||||
\(437\) | 0.300276 | + | 0.442874i | 0.0143642 | + | 0.0211855i | ||||
\(438\) | −2.98803 | + | 5.63602i | −0.142774 | + | 0.269300i | ||||
\(439\) | 0.421787 | + | 0.795575i | 0.0201308 | + | 0.0379707i | 0.893373 | − | 0.449315i | \(-0.148332\pi\) |
−0.873243 | + | 0.487286i | \(0.837987\pi\) | |||||||
\(440\) | −2.07964 | + | 3.06724i | −0.0991431 | + | 0.146225i | ||||
\(441\) | 4.09343 | − | 3.87750i | 0.194925 | − | 0.184643i | ||||
\(442\) | 10.8837 | − | 5.03533i | 0.517684 | − | 0.239506i | ||||
\(443\) | −6.57663 | + | 3.04267i | −0.312465 | + | 0.144562i | −0.569853 | − | 0.821746i | \(-0.693000\pi\) |
0.257389 | + | 0.966308i | \(0.417138\pi\) | |||||||
\(444\) | 2.61055 | − | 2.47284i | 0.123891 | − | 0.117356i | ||||
\(445\) | −11.2815 | + | 16.6390i | −0.534794 | + | 0.788763i | ||||
\(446\) | 11.1785 | + | 21.0849i | 0.529317 | + | 0.998398i | ||||
\(447\) | 9.38413 | − | 17.7004i | 0.443854 | − | 0.837198i | ||||
\(448\) | −0.654843 | − | 0.965821i | −0.0309384 | − | 0.0456308i | ||||
\(449\) | −0.345901 | − | 0.0761385i | −0.0163241 | − | 0.00359320i | 0.206801 | − | 0.978383i | \(-0.433695\pi\) |
−0.223125 | + | 0.974790i | \(0.571626\pi\) | |||||||
\(450\) | 0.000385525 | − | 0.00138854i | 1.81738e−5 | − | 6.54563e-5i | ||||
\(451\) | −0.187002 | − | 0.469340i | −0.00880558 | − | 0.0221003i | ||||
\(452\) | −6.85936 | − | 2.31119i | −0.322637 | − | 0.108709i | ||||
\(453\) | 6.17409 | + | 5.84841i | 0.290084 | + | 0.274782i | ||||
\(454\) | −7.51120 | + | 1.65334i | −0.352518 | + | 0.0775951i | ||||
\(455\) | 0.511413 | − | 9.43246i | 0.0239754 | − | 0.442201i | ||||
\(456\) | 0.769261 | − | 4.69229i | 0.0360240 | − | 0.219736i | ||||
\(457\) | −22.0556 | + | 25.9659i | −1.03172 | + | 1.21463i | −0.0553617 | + | 0.998466i | \(0.517631\pi\) |
−0.976357 | + | 0.216166i | \(0.930645\pi\) | |||||||
\(458\) | −8.50163 | + | 21.3375i | −0.397255 | + | 0.997035i | ||||
\(459\) | 2.63662 | + | 2.00430i | 0.123067 | + | 0.0935529i | ||||
\(460\) | −0.215576 | − | 0.129708i | −0.0100513 | − | 0.00604765i | ||||
\(461\) | −1.64913 | − | 10.0593i | −0.0768078 | − | 0.468507i | −0.997024 | − | 0.0770956i | \(-0.975435\pi\) |
0.920216 | − | 0.391411i | \(-0.128013\pi\) | |||||||
\(462\) | 1.92280 | − | 0.209117i | 0.0894569 | − | 0.00972902i | ||||
\(463\) | 14.6994 | − | 11.1742i | 0.683141 | − | 0.519310i | −0.205069 | − | 0.978747i | \(-0.565742\pi\) |
0.888210 | + | 0.459437i | \(0.151949\pi\) | |||||||
\(464\) | −0.382988 | − | 1.37940i | −0.0177798 | − | 0.0640370i | ||||
\(465\) | 0.277603 | + | 5.12009i | 0.0128735 | + | 0.237439i | ||||
\(466\) | −12.9537 | − | 1.40880i | −0.600068 | − | 0.0652614i | ||||
\(467\) | 26.1321 | − | 15.7231i | 1.20925 | − | 0.727580i | 0.239312 | − | 0.970943i | \(-0.423078\pi\) |
0.969935 | + | 0.243362i | \(0.0782505\pi\) | |||||||
\(468\) | 2.34409 | + | 2.75967i | 0.108356 | + | 0.127566i | ||||
\(469\) | −4.18666 | + | 1.41065i | −0.193322 | + | 0.0651377i | ||||
\(470\) | 2.83686 | + | 1.31247i | 0.130854 | + | 0.0605397i | ||||
\(471\) | 16.8812 | 0.777842 | ||||||||
\(472\) | −3.64467 | − | 6.76139i | −0.167760 | − | 0.311218i | ||||
\(473\) | −5.96831 | −0.274423 | ||||||||
\(474\) | 8.36320 | + | 3.86923i | 0.384135 | + | 0.177720i | ||||
\(475\) | −0.00649346 | + | 0.00218790i | −0.000297941 | + | 0.000100388i | ||||
\(476\) | −2.50193 | − | 2.94551i | −0.114676 | − | 0.135007i | ||||
\(477\) | −1.71029 | + | 1.02905i | −0.0783088 | + | 0.0471168i | ||||
\(478\) | −17.9266 | − | 1.94963i | −0.819943 | − | 0.0891742i | ||||
\(479\) | −1.25540 | − | 23.1545i | −0.0573607 | − | 1.05796i | −0.875587 | − | 0.483060i | \(-0.839525\pi\) |
0.818227 | − | 0.574896i | \(-0.194957\pi\) | |||||||
\(480\) | 0.598125 | + | 2.15425i | 0.0273006 | + | 0.0983277i | ||||
\(481\) | 10.3651 | − | 7.87931i | 0.472606 | − | 0.359266i | ||||
\(482\) | 5.58199 | − | 0.607078i | 0.254252 | − | 0.0276516i | ||||
\(483\) | 0.0212436 | + | 0.129580i | 0.000966619 | + | 0.00589612i | ||||
\(484\) | 7.07132 | + | 4.25467i | 0.321424 | + | 0.193394i | ||||
\(485\) | 28.9047 | + | 21.9728i | 1.31249 | + | 0.997733i | ||||
\(486\) | −0.370138 | + | 0.928977i | −0.0167898 | + | 0.0421392i | ||||
\(487\) | −14.5496 | + | 17.1292i | −0.659307 | + | 0.776196i | −0.985604 | − | 0.169071i | \(-0.945923\pi\) |
0.326297 | + | 0.945267i | \(0.394199\pi\) | |||||||
\(488\) | −1.77413 | + | 10.8217i | −0.0803110 | + | 0.489875i | ||||
\(489\) | −0.494988 | + | 9.12952i | −0.0223841 | + | 0.412851i | ||||
\(490\) | 12.3112 | − | 2.70991i | 0.556165 | − | 0.122421i | ||||
\(491\) | −13.7695 | − | 13.0432i | −0.621411 | − | 0.588631i | 0.310832 | − | 0.950465i | \(-0.399392\pi\) |
−0.932243 | + | 0.361833i | \(0.882151\pi\) | |||||||
\(492\) | −0.288851 | − | 0.0973251i | −0.0130224 | − | 0.00438775i | ||||
\(493\) | −1.75494 | − | 4.40457i | −0.0790385 | − | 0.198372i | ||||
\(494\) | 4.60600 | − | 16.5893i | 0.207234 | − | 0.746389i | ||||
\(495\) | −3.61915 | − | 0.796636i | −0.162669 | − | 0.0358061i | ||||
\(496\) | 1.28706 | + | 1.89828i | 0.0577909 | + | 0.0852352i | ||||
\(497\) | 5.59112 | − | 10.5460i | 0.250796 | − | 0.473052i | ||||
\(498\) | 1.64694 | + | 3.10645i | 0.0738009 | + | 0.139203i | ||||
\(499\) | −6.04363 | + | 8.91369i | −0.270550 | + | 0.399032i | −0.938557 | − | 0.345123i | \(-0.887837\pi\) |
0.668007 | + | 0.744155i | \(0.267147\pi\) | |||||||
\(500\) | 8.11805 | − | 7.68982i | 0.363050 | − | 0.343899i | ||||
\(501\) | 1.05114 | − | 0.486311i | 0.0469617 | − | 0.0217268i | ||||
\(502\) | −2.20640 | + | 1.02079i | −0.0984764 | + | 0.0455600i | ||||
\(503\) | −4.53071 | + | 4.29172i | −0.202014 | + | 0.191358i | −0.782018 | − | 0.623256i | \(-0.785810\pi\) |
0.580004 | + | 0.814614i | \(0.303051\pi\) | |||||||
\(504\) | 0.654843 | − | 0.965821i | 0.0291690 | − | 0.0430211i | ||||
\(505\) | 6.22630 | + | 11.7440i | 0.277067 | + | 0.522603i | ||||
\(506\) | 0.0873681 | − | 0.164794i | 0.00388398 | − | 0.00732597i | ||||
\(507\) | 0.0620412 | + | 0.0915039i | 0.00275535 | + | 0.00406383i | ||||
\(508\) | −12.8840 | − | 2.83598i | −0.571635 | − | 0.125826i | ||||
\(509\) | −3.34361 | + | 12.0426i | −0.148203 | + | 0.533779i | 0.851749 | + | 0.523951i | \(0.175542\pi\) |
−0.999952 | + | 0.00982844i | \(0.996871\pi\) | |||||||
\(510\) | 2.74075 | + | 6.87876i | 0.121362 | + | 0.304597i | ||||
\(511\) | 7.05406 | + | 2.37679i | 0.312053 | + | 0.105143i | ||||
\(512\) | 0.725995 | + | 0.687699i | 0.0320848 | + | 0.0303923i | ||||
\(513\) | 4.64376 | − | 1.02217i | 0.205027 | − | 0.0451298i | ||||
\(514\) | −1.17589 | + | 21.6880i | −0.0518662 | + | 0.956616i | ||||
\(515\) | 5.94631 | − | 36.2709i | 0.262026 | − | 1.59829i | ||||
\(516\) | −2.33108 | + | 2.74435i | −0.102620 | + | 0.120813i | ||||
\(517\) | −0.857738 | + | 2.15276i | −0.0377233 | + | 0.0946783i | ||||
\(518\) | −3.34034 | − | 2.53926i | −0.146766 | − | 0.111569i | ||||
\(519\) | 9.54391 | + | 5.74238i | 0.418931 | + | 0.252063i | ||||
\(520\) | 1.30967 | + | 7.98866i | 0.0574330 | + | 0.350326i | ||||
\(521\) | −16.7665 | + | 1.82346i | −0.734552 | + | 0.0798873i | −0.467746 | − | 0.883863i | \(-0.654934\pi\) |
−0.266806 | + | 0.963750i | \(0.585968\pi\) | |||||||
\(522\) | 1.13967 | − | 0.866355i | 0.0498820 | − | 0.0379193i | ||||
\(523\) | −1.01066 | − | 3.64006i | −0.0441930 | − | 0.159169i | 0.938161 | − | 0.346199i | \(-0.112528\pi\) |
−0.982354 | + | 0.187030i | \(0.940114\pi\) | |||||||
\(524\) | 1.04199 | + | 19.2184i | 0.0455197 | + | 0.839561i | ||||
\(525\) | −0.00167170 | 0.000181809i | −7.29592e−5 | 7.93479e-6i | ||||||
\(526\) | 23.7912 | − | 14.3147i | 1.03734 | − | 0.624149i | ||||
\(527\) | 4.91744 | + | 5.78926i | 0.214207 | + | 0.252184i | ||||
\(528\) | −1.57075 | + | 0.529249i | −0.0683583 | + | 0.0230326i | ||||
\(529\) | −20.8627 | − | 9.65213i | −0.907076 | − | 0.419658i | ||||
\(530\) | −4.46255 | −0.193841 | ||||||||
\(531\) | 4.93214 | − | 5.88846i | 0.214037 | − | 0.255538i | ||||
\(532\) | −5.54847 | −0.240557 | ||||||||
\(533\) | −1.00165 | − | 0.463414i | −0.0433864 | − | 0.0200727i | ||||
\(534\) | −8.52092 | + | 2.87103i | −0.368736 | + | 0.124242i | ||||
\(535\) | −0.0805192 | − | 0.0947945i | −0.00348115 | − | 0.00409832i | ||||
\(536\) | 3.24412 | − | 1.95192i | 0.140125 | − | 0.0843102i | ||||
\(537\) | 17.9047 | + | 1.94725i | 0.772645 | + | 0.0840302i | ||||
\(538\) | −0.749936 | − | 13.8318i | −0.0323321 | − | 0.596330i | ||||
\(539\) | 2.50024 | + | 9.00506i | 0.107693 | + | 0.387875i | ||||
\(540\) | −1.77986 | + | 1.35302i | −0.0765931 | + | 0.0582245i | ||||
\(541\) | 17.3027 | − | 1.88178i | 0.743899 | − | 0.0809039i | 0.271683 | − | 0.962387i | \(-0.412420\pi\) |
0.472216 | + | 0.881483i | \(0.343454\pi\) | |||||||
\(542\) | −2.60208 | − | 15.8720i | −0.111769 | − | 0.681761i | ||||
\(543\) | −12.1519 | − | 7.31153i | −0.521486 | − | 0.313768i | ||||
\(544\) | 2.63662 | + | 2.00430i | 0.113044 | + | 0.0859338i | ||||
\(545\) | −5.93615 | + | 14.8986i | −0.254277 | + | 0.638186i | ||||
\(546\) | 2.73529 | − | 3.22023i | 0.117060 | − | 0.137813i | ||||
\(547\) | −3.90107 | + | 23.7955i | −0.166798 | + | 1.01742i | 0.762202 | + | 0.647339i | \(0.224118\pi\) |
−0.928999 | + | 0.370081i | \(0.879330\pi\) | |||||||
\(548\) | −0.628637 | + | 11.5945i | −0.0268541 | + | 0.495294i | ||||
\(549\) | −10.7098 | + | 2.35740i | −0.457082 | + | 0.100611i | ||||
\(550\) | 0.00173411 | + | 0.00164263i | 7.39426e−5 | + | 7.00421e-5i | ||||
\(551\) | −6.45073 | − | 2.17350i | −0.274810 | − | 0.0925943i | ||||
\(552\) | −0.0416517 | − | 0.104538i | −0.00177282 | − | 0.00444943i | ||||
\(553\) | 2.87666 | − | 10.3608i | 0.122328 | − | 0.440586i | ||||
\(554\) | 1.10631 | + | 0.243516i | 0.0470025 | + | 0.0103460i | ||||
\(555\) | 4.51157 | + | 6.65407i | 0.191505 | + | 0.282449i | ||||
\(556\) | 4.50854 | − | 8.50401i | 0.191205 | − | 0.360651i | ||||
\(557\) | −11.7714 | − | 22.2032i | −0.498770 | − | 0.940780i | −0.997267 | − | 0.0738883i | \(-0.976459\pi\) |
0.498497 | − | 0.866892i | \(-0.333886\pi\) | |||||||
\(558\) | −1.28706 | + | 1.89828i | −0.0544858 | + | 0.0803605i | ||||
\(559\) | −9.46537 | + | 8.96607i | −0.400342 | + | 0.379224i | ||||
\(560\) | 2.36774 | − | 1.09543i | 0.100055 | − | 0.0462906i | ||||
\(561\) | −4.98224 | + | 2.30503i | −0.210350 | + | 0.0973184i | ||||
\(562\) | −4.01540 | + | 3.80358i | −0.169379 | + | 0.160445i | ||||
\(563\) | −13.9620 | + | 20.5923i | −0.588426 | + | 0.867864i | −0.999034 | − | 0.0439483i | \(-0.986006\pi\) |
0.410607 | + | 0.911812i | \(0.365317\pi\) | |||||||
\(564\) | 0.654873 | + | 1.23522i | 0.0275751 | + | 0.0520122i | ||||
\(565\) | 7.58021 | − | 14.2978i | 0.318902 | − | 0.601513i | ||||
\(566\) | −13.3791 | − | 19.7328i | −0.562367 | − | 0.829430i | ||||
\(567\) | 1.13961 | + | 0.250847i | 0.0478590 | + | 0.0105346i | ||||
\(568\) | −2.73662 | + | 9.85642i | −0.114826 | + | 0.413566i | ||||
\(569\) | −4.74537 | − | 11.9100i | −0.198936 | − | 0.499292i | 0.795336 | − | 0.606169i | \(-0.207294\pi\) |
−0.994272 | + | 0.106876i | \(0.965915\pi\) | |||||||
\(570\) | 10.0743 | + | 3.39443i | 0.421967 | + | 0.142177i | ||||
\(571\) | 1.98561 | + | 1.88087i | 0.0830952 | + | 0.0787120i | 0.728120 | − | 0.685450i | \(-0.240394\pi\) |
−0.645025 | + | 0.764162i | \(0.723153\pi\) | |||||||
\(572\) | −5.86131 | + | 1.29017i | −0.245074 | + | 0.0539448i | ||||
\(573\) | −0.410763 | + | 7.57607i | −0.0171599 | + | 0.316495i | ||||
\(574\) | −0.0575418 | + | 0.350989i | −0.00240175 | + | 0.0146500i | ||||
\(575\) | −0.000104982 | 0 | 0.000123595i | −4.37806e−6 | 0 | 5.15426e-6i | ||||
\(576\) | −0.370138 | + | 0.928977i | −0.0154224 | + | 0.0387074i | ||||
\(577\) | 22.8931 | + | 17.4029i | 0.953052 | + | 0.724491i | 0.961308 | − | 0.275475i | \(-0.0888350\pi\) |
−0.00825624 | + | 0.999966i | \(0.502628\pi\) | |||||||
\(578\) | −5.16773 | − | 3.10932i | −0.214949 | − | 0.129331i | ||||
\(579\) | −1.96059 | − | 11.9591i | −0.0814795 | − | 0.497003i | ||||
\(580\) | 3.18189 | − | 0.346051i | 0.132121 | − | 0.0143690i | ||||
\(581\) | 3.26622 | − | 2.48291i | 0.135506 | − | 0.103009i | ||||
\(582\) | 4.34462 | + | 15.6479i | 0.180090 | + | 0.648627i | ||||
\(583\) | −0.179114 | − | 3.30356i | −0.00741814 | − | 0.136820i | ||||
\(584\) | −6.34172 | − | 0.689704i | −0.262422 | − | 0.0285401i | ||||
\(585\) | −6.93652 | + | 4.17356i | −0.286790 | + | 0.172556i | ||||
\(586\) | 17.4622 | + | 20.5580i | 0.721355 | + | 0.849245i | ||||
\(587\) | −1.25161 | + | 0.421716i | −0.0516594 | + | 0.0174061i | −0.345013 | − | 0.938598i | \(-0.612125\pi\) |
0.293353 | + | 0.956004i | \(0.405229\pi\) | |||||||
\(588\) | 5.11725 | + | 2.36749i | 0.211032 | + | 0.0976337i | ||||
\(589\) | 10.9053 | 0.449344 | ||||||||
\(590\) | 16.2359 | − | 5.59560i | 0.668421 | − | 0.230367i | ||||
\(591\) | 20.2257 | 0.831973 | ||||||||
\(592\) | 3.26347 | + | 1.50984i | 0.134128 | + | 0.0620542i | ||||
\(593\) | −10.0430 | + | 3.38387i | −0.412415 | + | 0.138959i | −0.517858 | − | 0.855466i | \(-0.673271\pi\) |
0.105443 | + | 0.994425i | \(0.466374\pi\) | |||||||
\(594\) | −1.07306 | − | 1.26330i | −0.0440280 | − | 0.0518338i | ||||
\(595\) | 7.40361 | − | 4.45460i | 0.303518 | − | 0.182621i | ||||
\(596\) | 19.9166 | + | 2.16607i | 0.815818 | + | 0.0887255i | ||||
\(597\) | −0.133162 | − | 2.45604i | −0.00544998 | − | 0.100519i | ||||
\(598\) | −0.109006 | − | 0.392603i | −0.00445758 | − | 0.0160547i | ||||
\(599\) | −17.4800 | + | 13.2879i | −0.714212 | + | 0.542930i | −0.897978 | − | 0.440040i | \(-0.854964\pi\) |
0.183766 | + | 0.982970i | \(0.441171\pi\) | |||||||
\(600\) | 0.00143262 | 0.000155806i | 5.84863e−5 | 6.36077e-6i | ||||||
\(601\) | 3.96017 | + | 24.1559i | 0.161539 | + | 0.985342i | 0.935814 | + | 0.352493i | \(0.114666\pi\) |
−0.774276 | + | 0.632848i | \(0.781886\pi\) | |||||||
\(602\) | 3.60024 | + | 2.16619i | 0.146735 | + | 0.0882873i | ||||
\(603\) | 3.01406 | + | 2.29123i | 0.122742 | + | 0.0933061i | ||||
\(604\) | −3.14777 | + | 7.90030i | −0.128081 | + | 0.321459i | ||||
\(605\) | −11.9448 | + | 14.0625i | −0.485624 | + | 0.571721i | ||||
\(606\) | −0.961862 | + | 5.86710i | −0.0390730 | + | 0.238335i | ||||
\(607\) | 1.34790 | − | 24.8606i | 0.0547096 | − | 1.00906i | −0.834340 | − | 0.551249i | \(-0.814151\pi\) |
0.889050 | − | 0.457810i | \(-0.151366\pi\) | |||||||
\(608\) | 4.64376 | − | 1.02217i | 0.188329 | − | 0.0414544i | ||||
\(609\) | −1.21277 | − | 1.14880i | −0.0491440 | − | 0.0465516i | ||||
\(610\) | −23.2341 | − | 7.82849i | −0.940723 | − | 0.316966i | ||||
\(611\) | 1.87373 | + | 4.70270i | 0.0758029 | + | 0.190251i | ||||
\(612\) | −0.886039 | + | 3.19122i | −0.0358160 | + | 0.128998i | ||||
\(613\) | 8.92446 | + | 1.96442i | 0.360455 | + | 0.0793422i | 0.391506 | − | 0.920176i | \(-0.371954\pi\) |
−0.0310506 | + | 0.999518i | \(0.509885\pi\) | |||||||
\(614\) | −2.94912 | − | 4.34963i | −0.119017 | − | 0.175537i | ||||
\(615\) | 0.319206 | − | 0.602086i | 0.0128716 | − | 0.0242785i | ||||
\(616\) | 0.905968 | + | 1.70884i | 0.0365025 | + | 0.0688510i | ||||
\(617\) | −18.3070 | + | 27.0008i | −0.737011 | + | 1.08701i | 0.255731 | + | 0.966748i | \(0.417684\pi\) |
−0.992742 | + | 0.120262i | \(0.961626\pi\) | |||||||
\(618\) | 11.9352 | − | 11.3056i | 0.480103 | − | 0.454778i | ||||
\(619\) | 7.90029 | − | 3.65506i | 0.317540 | − | 0.146909i | −0.254644 | − | 0.967035i | \(-0.581958\pi\) |
0.572184 | + | 0.820125i | \(0.306096\pi\) | |||||||
\(620\) | −4.65369 | + | 2.15303i | −0.186897 | + | 0.0864677i | ||||
\(621\) | 0.0816965 | − | 0.0773870i | 0.00327837 | − | 0.00310543i | ||||
\(622\) | −8.83860 | + | 13.0360i | −0.354395 | + | 0.522694i | ||||
\(623\) | 4.91463 | + | 9.26998i | 0.196901 | + | 0.371394i | ||||
\(624\) | −1.69604 | + | 3.19906i | −0.0678958 | + | 0.128065i | ||||
\(625\) | 14.0256 | + | 20.6863i | 0.561025 | + | 0.827450i | ||||
\(626\) | 22.2696 | + | 4.90192i | 0.890073 | + | 0.195920i | ||||
\(627\) | −2.10849 | + | 7.59411i | −0.0842051 | + | 0.303279i | ||||
\(628\) | 6.24836 | + | 15.6822i | 0.249337 | + | 0.625788i | ||||
\(629\) | 11.2857 | + | 3.80261i | 0.449992 | + | 0.151620i | ||||
\(630\) | 1.89403 | + | 1.79412i | 0.0754598 | + | 0.0714793i | ||||
\(631\) | −34.1107 | + | 7.50834i | −1.35793 | + | 0.298902i | −0.833484 | − | 0.552544i | \(-0.813657\pi\) |
−0.524442 | + | 0.851446i | \(0.675726\pi\) | |||||||
\(632\) | −0.498884 | + | 9.20137i | −0.0198445 | + | 0.366011i | ||||
\(633\) | 2.73445 | − | 16.6794i | 0.108685 | − | 0.662947i | ||||
\(634\) | 1.10059 | − | 1.29572i | 0.0437102 | − | 0.0514596i | ||||
\(635\) | 10.9172 | − | 27.4001i | 0.433236 | − | 1.08734i | ||||
\(636\) | −1.58900 | − | 1.20793i | −0.0630081 | − | 0.0478975i | ||||
\(637\) | 17.4933 | + | 10.5254i | 0.693111 | + | 0.417031i | ||||
\(638\) | 0.383888 | + | 2.34161i | 0.0151983 | + | 0.0927053i | ||||
\(639\) | −10.1693 | + | 1.10598i | −0.402292 | + | 0.0437519i | ||||
\(640\) | −1.77986 | + | 1.35302i | −0.0703552 | + | 0.0534826i | ||||
\(641\) | −12.7493 | − | 45.9189i | −0.503567 | − | 1.81369i | −0.577459 | − | 0.816420i | \(-0.695956\pi\) |
0.0738918 | − | 0.997266i | \(-0.476458\pi\) | |||||||
\(642\) | −0.00301178 | − | 0.0555490i | −0.000118865 | − | 0.00219234i | ||||
\(643\) | 44.1375 | + | 4.80025i | 1.74061 | + | 0.189303i | 0.922564 | − | 0.385844i | \(-0.126090\pi\) |
0.818050 | + | 0.575147i | \(0.195055\pi\) | |||||||
\(644\) | −0.112514 | + | 0.0676975i | −0.00443368 | + | 0.00266766i | ||||
\(645\) | −5.21169 | − | 6.13568i | −0.205210 | − | 0.241592i | ||||
\(646\) | 14.9237 | − | 5.02838i | 0.587165 | − | 0.197839i | ||||
\(647\) | −12.9130 | − | 5.97419i | −0.507663 | − | 0.234870i | 0.149301 | − | 0.988792i | \(-0.452298\pi\) |
−0.656964 | + | 0.753922i | \(0.728160\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 4.79400 | + | 11.7946i | 0.188181 | + | 0.462978i | ||||
\(650\) | 0.00521788 | 0.000204662 | ||||||||
\(651\) | 2.42887 | + | 1.12372i | 0.0951951 | + | 0.0440419i | ||||
\(652\) | −8.66432 | + | 2.91935i | −0.339321 | + | 0.114331i | ||||
\(653\) | −10.3956 | − | 12.2387i | −0.406811 | − | 0.478935i | 0.520159 | − | 0.854069i | \(-0.325873\pi\) |
−0.926971 | + | 0.375134i | \(0.877597\pi\) | |||||||
\(654\) | −6.14648 | + | 3.69822i | −0.240347 | + | 0.144612i | ||||
\(655\) | −42.7784 | − | 4.65243i | −1.67149 | − | 0.181785i | ||||
\(656\) | −0.0165019 | − | 0.304359i | −0.000644290 | − | 0.0118832i | ||||
\(657\) | −1.70659 | − | 6.14660i | −0.0665806 | − | 0.239802i | ||||
\(658\) | 1.29875 | − | 0.987284i | 0.0506306 | − | 0.0384883i | ||||
\(659\) | 43.4521 | − | 4.72571i | 1.69266 | − | 0.184087i | 0.789603 | − | 0.613618i | \(-0.210286\pi\) |
0.903052 | + | 0.429531i | \(0.141321\pi\) | |||||||
\(660\) | −0.599530 | − | 3.65697i | −0.0233367 | − | 0.142348i | ||||
\(661\) | 25.9903 | + | 15.6379i | 1.01091 | + | 0.608243i | 0.921754 | − | 0.387775i | \(-0.126756\pi\) |
0.0891530 | + | 0.996018i | \(0.471584\pi\) | |||||||
\(662\) | 8.20499 | + | 6.23727i | 0.318896 | + | 0.242418i | ||||
\(663\) | −4.43872 | + | 11.1403i | −0.172385 | + | 0.432655i | ||||
\(664\) | −2.27623 | + | 2.67978i | −0.0883347 | + | 0.103996i | ||||
\(665\) | 2.00690 | − | 12.2416i | 0.0778243 | − | 0.474707i | ||||
\(666\) | −0.194674 | + | 3.59054i | −0.00754345 | + | 0.139131i | ||||
\(667\) | −0.157330 | + | 0.0346309i | −0.00609183 | + | 0.00134091i | ||||
\(668\) | 0.840840 | + | 0.796486i | 0.0325331 | + | 0.0308170i | ||||
\(669\) | −22.6156 | − | 7.62008i | −0.874370 | − | 0.294609i | ||||
\(670\) | 3.13310 | + | 7.86350i | 0.121042 | + | 0.303793i | ||||
\(671\) | 4.86276 | − | 17.5141i | 0.187725 | − | 0.676124i | ||||
\(672\) | 1.13961 | + | 0.250847i | 0.0439613 | + | 0.00967662i | ||||
\(673\) | −17.5377 | − | 25.8662i | −0.676031 | − | 0.997070i | −0.998721 | − | 0.0505658i | \(-0.983898\pi\) |
0.322690 | − | 0.946505i | \(-0.395413\pi\) | |||||||
\(674\) | −0.673010 | + | 1.26943i | −0.0259234 | + | 0.0488967i | ||||
\(675\) | 0.000675007 | 0.00127320i | 2.59810e−5 | 4.90054e-5i | ||||||
\(676\) | −0.0620412 | + | 0.0915039i | −0.00238620 | + | 0.00351938i | ||||
\(677\) | −27.6414 | + | 26.1833i | −1.06234 | + | 1.00631i | −0.0623787 | + | 0.998053i | \(0.519869\pi\) |
−0.999966 | + | 0.00825374i | \(0.997373\pi\) | |||||||
\(678\) | 6.56927 | − | 3.03927i | 0.252291 | − | 0.116722i | ||||
\(679\) | 17.1987 | − | 7.95694i | 0.660024 | − | 0.305360i | ||||
\(680\) | −5.37575 | + | 5.09218i | −0.206151 | + | 0.195276i | ||||
\(681\) | 4.31610 | − | 6.36577i | 0.165393 | − | 0.243937i | ||||
\(682\) | −1.78064 | − | 3.35864i | −0.0681842 | − | 0.128609i | ||||
\(683\) | 5.06244 | − | 9.54877i | 0.193709 | − | 0.365374i | −0.767564 | − | 0.640972i | \(-0.778531\pi\) |
0.961273 | + | 0.275599i | \(0.0888761\pi\) | |||||||
\(684\) | 2.66840 | + | 3.93560i | 0.102029 | + | 0.150481i | ||||
\(685\) | −25.3536 | − | 5.58074i | −0.968710 | − | 0.213229i | ||||
\(686\) | 3.94539 | − | 14.2100i | 0.150636 | − | 0.542541i | ||||
\(687\) | −8.50163 | − | 21.3375i | −0.324357 | − | 0.814076i | ||||
\(688\) | −3.41226 | − | 1.14972i | −0.130091 | − | 0.0438329i | ||||
\(689\) | −5.24693 | − | 4.97016i | −0.199892 | − | 0.189348i | ||||
\(690\) | 0.245707 | − | 0.0540842i | 0.00935391 | − | 0.00205895i | ||||
\(691\) | 1.56676 | − | 28.8972i | 0.0596023 | − | 1.09930i | −0.803838 | − | 0.594849i | \(-0.797212\pi\) |
0.863440 | − | 0.504452i | \(-0.168305\pi\) | |||||||
\(692\) | −1.80197 | + | 10.9915i | −0.0685007 | + | 0.417836i | ||||
\(693\) | −1.25214 | + | 1.47413i | −0.0475647 | + | 0.0559975i | ||||
\(694\) | −6.92138 | + | 17.3714i | −0.262732 | + | 0.659408i | ||||
\(695\) | 17.1316 | + | 13.0231i | 0.649838 | + | 0.493994i | ||||
\(696\) | 1.22666 | + | 0.738056i | 0.0464964 | + | 0.0279760i | ||||
\(697\) | −0.163319 | − | 0.996203i | −0.00618615 | − | 0.0377339i | ||||
\(698\) | −1.43489 | + | 0.156054i | −0.0543114 | + | 0.00590672i | ||||
\(699\) | 10.3732 | − | 7.88547i | 0.392349 | − | 0.298256i | ||||
\(700\) | −0.000449865 | − | 0.00162027i | −1.70033e−5 | − | 6.12404e-5i | ||||
\(701\) | 0.126633 | + | 2.33561i | 0.00478287 | + | 0.0882148i | 0.999950 | − | 0.00997866i | \(-0.00317636\pi\) |
−0.995167 | + | 0.0981935i | \(0.968694\pi\) | |||||||
\(702\) | −3.59962 | − | 0.391483i | −0.135859 | − | 0.0147756i | ||||
\(703\) | 14.6504 | − | 8.81486i | 0.552551 | − | 0.332459i | ||||
\(704\) | −1.07306 | − | 1.26330i | −0.0404423 | − | 0.0476124i | ||||
\(705\) | −2.96213 | + | 0.998058i | −0.111560 | + | 0.0375890i | ||||
\(706\) | 27.2317 | + | 12.5987i | 1.02488 | + | 0.474159i | ||||
\(707\) | 6.93765 | 0.260917 | ||||||||
\(708\) | 7.29582 | + | 2.40230i | 0.274194 | + | 0.0902839i | ||||
\(709\) | 31.0214 | 1.16503 | 0.582516 | − | 0.812819i | \(-0.302068\pi\) | ||||
0.582516 | + | 0.812819i | \(0.302068\pi\) | |||||||
\(710\) | −20.7563 | − | 9.60289i | −0.778970 | − | 0.360390i | ||||
\(711\) | −8.73252 | + | 2.94233i | −0.327495 | + | 0.110346i | ||||
\(712\) | −5.82104 | − | 6.85305i | −0.218153 | − | 0.256829i | ||||
\(713\) | 0.221142 | − | 0.133056i | 0.00828182 | − | 0.00498300i | ||||
\(714\) | 3.84202 | + | 0.417844i | 0.143784 | + | 0.0156374i | ||||
\(715\) | −0.726442 | − | 13.3984i | −0.0271674 | − | 0.501073i | ||||
\(716\) | 4.81826 | + | 17.3538i | 0.180067 | + | 0.648542i | ||||
\(717\) | 14.3554 | − | 10.9127i | 0.536111 | − | 0.407541i | ||||
\(718\) | −20.7245 | + | 2.25393i | −0.773433 | + | 0.0841159i | ||||
\(719\) | −2.35494 | − | 14.3645i | −0.0878246 | − | 0.535706i | −0.993692 | − | 0.112145i | \(-0.964228\pi\) |
0.905867 | − | 0.423562i | \(-0.139220\pi\) | |||||||
\(720\) | −1.91571 | − | 1.15265i | −0.0713945 | − | 0.0429566i | ||||
\(721\) | −15.2717 | − | 11.6093i | −0.568749 | − | 0.432352i | ||||
\(722\) | 1.33595 | − | 3.35297i | 0.0497188 | − | 0.124785i | ||||
\(723\) | −3.63501 | + | 4.27946i | −0.135187 | + | 0.159155i | ||||
\(724\) | 2.29437 | − | 13.9951i | 0.0852697 | − | 0.520122i | ||||
\(725\) | 0.000111688 | − | 0.00205997i | 4.14801e−6 | − | 7.65055e-5i | ||||
\(726\) | −8.05969 | + | 1.77407i | −0.299123 | + | 0.0658420i | ||||
\(727\) | −6.24575 | − | 5.91629i | −0.231642 | − | 0.219423i | 0.563071 | − | 0.826409i | \(-0.309620\pi\) |
−0.794713 | + | 0.606986i | \(0.792378\pi\) | |||||||
\(728\) | 4.00396 | + | 1.34909i | 0.148397 | + | 0.0500006i | ||||
\(729\) | −0.370138 | − | 0.928977i | −0.0137088 | − | 0.0344065i | ||||
\(730\) | 3.81551 | − | 13.7422i | 0.141218 | − | 0.508623i | ||||
\(731\) | −11.6467 | − | 2.56363i | −0.430768 | − | 0.0948191i | ||||
\(732\) | −6.15407 | − | 9.07657i | −0.227461 | − | 0.335480i | ||||
\(733\) | 17.4137 | − | 32.8458i | 0.643191 | − | 1.21319i | −0.320773 | − | 0.947156i | \(-0.603943\pi\) |
0.963964 | − | 0.266031i | \(-0.0857125\pi\) | |||||||
\(734\) | −10.9741 | − | 20.6993i | −0.405060 | − | 0.764024i | ||||
\(735\) | −7.07430 | + | 10.4338i | −0.260940 | + | 0.384857i | ||||
\(736\) | 0.0816965 | − | 0.0773870i | 0.00301137 | − | 0.00285252i | ||||
\(737\) | −5.69547 | + | 2.63501i | −0.209795 | + | 0.0970617i | ||||
\(738\) | 0.276635 | − | 0.127985i | 0.0101831 | − | 0.00471119i | ||||
\(739\) | 0.688101 | − | 0.651804i | 0.0253122 | − | 0.0239770i | −0.674939 | − | 0.737874i | \(-0.735830\pi\) |
0.700251 | + | 0.713897i | \(0.253071\pi\) | |||||||
\(740\) | −4.51157 | + | 6.65407i | −0.165849 | + | 0.244608i | ||||
\(741\) | 8.06453 | + | 15.2113i | 0.296258 | + | 0.558802i | ||||
\(742\) | −1.09098 | + | 2.05780i | −0.0400510 | + | 0.0755442i | ||||
\(743\) | −23.2051 | − | 34.2250i | −0.851314 | − | 1.25559i | −0.965046 | − | 0.262082i | \(-0.915591\pi\) |
0.113732 | − | 0.993511i | \(-0.463719\pi\) | |||||||
\(744\) | −2.23985 | − | 0.493028i | −0.0821168 | − | 0.0180753i | ||||
\(745\) | −11.9829 | + | 43.1585i | −0.439019 | + | 1.58120i | ||||
\(746\) | −7.09405 | − | 17.8047i | −0.259732 | − | 0.651878i | ||||
\(747\) | −3.33197 | − | 1.12267i | −0.121910 | − | 0.0410764i | ||||
\(748\) | −3.98543 | − | 3.77520i | −0.145722 | − | 0.138035i | ||||
\(749\) | −0.0633970 | + | 0.0139547i | −0.00231648 | + | 0.000509895i | ||||
\(750\) | −0.605379 | + | 11.1656i | −0.0221053 | + | 0.407708i | ||||
\(751\) | 7.83304 | − | 47.7794i | 0.285832 | − | 1.74350i | −0.319558 | − | 0.947567i | \(-0.603534\pi\) |
0.605390 | − | 0.795929i | \(-0.293017\pi\) | |||||||
\(752\) | −0.905098 | + | 1.06556i | −0.0330055 | + | 0.0388571i | ||||
\(753\) | 0.899840 | − | 2.25843i | 0.0327920 | − | 0.0823017i | ||||
\(754\) | 4.12658 | + | 3.13694i | 0.150281 | + | 0.114241i | ||||
\(755\) | −16.2918 | − | 9.80247i | −0.592920 | − | 0.356748i | ||||
\(756\) | 0.188782 | + | 1.15152i | 0.00686592 | + | 0.0418803i | ||||
\(757\) | −0.345209 | + | 0.0375438i | −0.0125468 | + | 0.00136455i | −0.114390 | − | 0.993436i | \(-0.536491\pi\) |
0.101843 | + | 0.994800i | \(0.467526\pi\) | |||||||
\(758\) | 5.49598 | − | 4.17794i | 0.199623 | − | 0.151750i | ||||
\(759\) | 0.0498997 | + | 0.179722i | 0.00181124 | + | 0.00652351i | ||||
\(760\) | 0.575540 | + | 10.6152i | 0.0208770 | + | 0.385054i | ||||
\(761\) | 24.0470 | + | 2.61527i | 0.871703 | + | 0.0948034i | 0.533026 | − | 0.846099i | \(-0.321055\pi\) |
0.338677 | + | 0.940903i | \(0.390020\pi\) | |||||||
\(762\) | 11.3040 | − | 6.80141i | 0.409502 | − | 0.246389i | ||||
\(763\) | 5.41890 | + | 6.37963i | 0.196177 | + | 0.230958i | ||||
\(764\) | −7.19003 | + | 2.42260i | −0.260126 | + | 0.0876467i | ||||
\(765\) | −6.72029 | − | 3.10914i | −0.242973 | − | 0.112411i | ||||
\(766\) | 37.1239 | 1.34134 | ||||||||
\(767\) | 25.3217 | + | 11.5036i | 0.914315 | + | 0.415369i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −27.1319 | − | 12.5525i | −0.978400 | − | 0.452656i | −0.135530 | − | 0.990773i | \(-0.543274\pi\) |
−0.842870 | + | 0.538117i | \(0.819136\pi\) | |||||||
\(770\) | −4.09789 | + | 1.38074i | −0.147678 | + | 0.0497584i | ||||
\(771\) | −14.0611 | − | 16.5540i | −0.506399 | − | 0.596179i | ||||
\(772\) | 10.3840 | − | 6.24786i | 0.373729 | − | 0.224866i | ||||
\(773\) | −30.8754 | − | 3.35790i | −1.11051 | − | 0.120775i | −0.465573 | − | 0.885010i | \(-0.654152\pi\) |
−0.644939 | + | 0.764234i | \(0.723117\pi\) | |||||||
\(774\) | −0.194941 | − | 3.59547i | −0.00700700 | − | 0.129236i | ||||
\(775\) | 0.000884190 | 0.00318457i | 3.17611e−5 | 0.000114393i | ||||||
\(776\) | −12.9284 | + | 9.82794i | −0.464104 | + | 0.352803i | ||||
\(777\) | 4.17132 | − | 0.453659i | 0.149645 | − | 0.0162749i | ||||
\(778\) | −0.869430 | − | 5.30329i | −0.0311706 | − | 0.190132i | ||||
\(779\) | −1.24187 | − | 0.747208i | −0.0444946 | − | 0.0267715i | ||||
\(780\) | −6.44461 | − | 4.89907i | −0.230754 | − | 0.175415i | ||||
\(781\) | 6.27577 | − | 15.7510i | 0.224565 | − | 0.563615i | ||||
\(782\) | 0.241277 | − | 0.284053i | 0.00862805 | − | 0.0101577i | ||||
\(783\) | −0.231604 | + | 1.41272i | −0.00827684 | + | 0.0504865i | ||||
\(784\) | −0.305255 | + | 5.63010i | −0.0109020 | + | 0.201075i | ||||
\(785\) | −36.8596 | + | 8.11341i | −1.31557 | + | 0.289580i | ||||
\(786\) | −13.9730 | − | 13.2359i | −0.498400 | − | 0.472109i | ||||
\(787\) | −37.9222 | − | 12.7775i | −1.35178 | − | 0.455468i | −0.452080 | − | 0.891977i | \(-0.649318\pi\) |
−0.899700 | + | 0.436509i | \(0.856215\pi\) | |||||||
\(788\) | 7.48630 | + | 18.7892i | 0.266688 | + | 0.669337i | ||||
\(789\) | −7.42808 | + | 26.7535i | −0.264447 | + | 0.952451i | ||||
\(790\) | −20.1205 | − | 4.42885i | −0.715854 | − | 0.157571i | ||||
\(791\) | −4.73992 | − | 6.99087i | −0.168532 | − | 0.248567i | ||||
\(792\) | 0.776396 | − | 1.46444i | 0.0275880 | − | 0.0520366i | ||||
\(793\) | −18.5990 | − | 35.0815i | −0.660470 | − | 1.24578i | ||||
\(794\) | −18.4425 | + | 27.2006i | −0.654499 | + | 0.965314i | ||||
\(795\) | 3.23979 | − | 3.06890i | 0.114904 | − | 0.108843i | ||||
\(796\) | 2.23231 | − | 1.03278i | 0.0791222 | − | 0.0366058i | ||||
\(797\) | −31.5838 | + | 14.6122i | −1.11876 | + | 0.517591i | −0.890031 | − | 0.455900i | \(-0.849317\pi\) |
−0.228724 | + | 0.973491i | \(0.573455\pi\) | |||||||
\(798\) | 4.02816 | − | 3.81568i | 0.142595 | − | 0.135074i | ||||
\(799\) | −2.59850 | + | 3.83250i | −0.0919284 | + | 0.135584i | ||||
\(800\) | 0.000675007 | 0.00127320i | 2.38651e−5 | 4.50143e-5i | ||||||
\(801\) | 4.21174 | − | 7.94418i | 0.148815 | − | 0.280694i | ||||
\(802\) | −5.67220 | − | 8.36587i | −0.200292 | − | 0.295409i | ||||
\(803\) | 10.3263 | + | 2.27299i | 0.364407 | + | 0.0802121i | ||||
\(804\) | −1.01288 | + | 3.64807i | −0.0357215 | + | 0.128657i | ||||
\(805\) | −0.108664 | − | 0.272726i | −0.00382990 | − | 0.00961232i | ||||
\(806\) | −7.86960 | − | 2.65158i | −0.277195 | − | 0.0933978i | ||||
\(807\) | 10.0565 | + | 9.52607i | 0.354007 | + | 0.335333i | ||||
\(808\) | −5.80642 | + | 1.27809i | −0.204269 | + | 0.0449631i | ||||
\(809\) | −1.77949 | + | 32.8207i | −0.0625634 | + | 1.15391i | 0.783697 | + | 0.621144i | \(0.213332\pi\) |
−0.846260 | + | 0.532770i | \(0.821151\pi\) | |||||||
\(810\) | 0.361703 | − | 2.20629i | 0.0127090 | − | 0.0775212i | ||||
\(811\) | −15.8062 | + | 18.6085i | −0.555032 | + | 0.653434i | −0.966099 | − | 0.258171i | \(-0.916880\pi\) |
0.411067 | + | 0.911605i | \(0.365156\pi\) | |||||||
\(812\) | 0.618314 | − | 1.55185i | 0.0216986 | − | 0.0544593i | ||||
\(813\) | 12.8043 | + | 9.73356i | 0.449065 | + | 0.341371i | ||||
\(814\) | −5.10699 | − | 3.07277i | −0.179000 | − | 0.107701i | ||||
\(815\) | −3.30703 | − | 20.1720i | −0.115840 | − | 0.706594i | ||||
\(816\) | −3.29253 | + | 0.358084i | −0.115262 | + | 0.0125355i | ||||
\(817\) | −13.6301 | + | 10.3614i | −0.476858 | + | 0.362498i | ||||
\(818\) | −8.89169 | − | 32.0250i | −0.310890 | − | 1.11973i | ||||
\(819\) | 0.228744 | + | 4.21893i | 0.00799296 | + | 0.147421i | ||||
\(820\) | 0.677474 | + | 0.0736798i | 0.0236584 | + | 0.00257301i | ||||
\(821\) | 0.0811343 | − | 0.0488169i | 0.00283161 | − | 0.00170372i | −0.514137 | − | 0.857708i | \(-0.671888\pi\) |
0.516969 | + | 0.856004i | \(0.327060\pi\) | |||||||
\(822\) | −7.51716 | − | 8.84989i | −0.262191 | − | 0.308675i | ||||
\(823\) | 0.907839 | − | 0.305887i | 0.0316453 | − | 0.0106625i | −0.303434 | − | 0.952852i | \(-0.598133\pi\) |
0.335080 | + | 0.942190i | \(0.391237\pi\) | |||||||
\(824\) | 14.9203 | + | 6.90287i | 0.519773 | + | 0.240473i | ||||
\(825\) | −0.00238859 | −8.31601e−5 | ||||||||
\(826\) | 1.38897 | − | 8.85477i | 0.0483285 | − | 0.308097i | ||||
\(827\) | 24.2728 | 0.844049 | 0.422024 | − | 0.906584i | \(-0.361320\pi\) | ||||
0.422024 | + | 0.906584i | \(0.361320\pi\) | |||||||
\(828\) | 0.102130 | + | 0.0472502i | 0.00354925 | + | 0.00164206i | ||||
\(829\) | −12.1335 | + | 4.08824i | −0.421412 | + | 0.141990i | −0.522015 | − | 0.852936i | \(-0.674819\pi\) |
0.100603 | + | 0.994927i | \(0.467923\pi\) | |||||||
\(830\) | −5.08906 | − | 5.99131i | −0.176644 | − | 0.207961i | ||||
\(831\) | −0.970640 | + | 0.584015i | −0.0336711 | + | 0.0202592i | ||||
\(832\) | −3.59962 | − | 0.391483i | −0.124795 | − | 0.0135722i | ||||
\(833\) | 1.01099 | + | 18.6466i | 0.0350287 | + | 0.646066i | ||||
\(834\) | 2.57502 | + | 9.27440i | 0.0891658 | + | 0.321146i | ||||
\(835\) | −2.06142 | + | 1.56705i | −0.0713383 | + | 0.0542300i | ||||
\(836\) | −7.83518 | + | 0.852127i | −0.270985 | + | 0.0294714i | ||||
\(837\) | −0.371042 | − | 2.26326i | −0.0128251 | − | 0.0782295i | ||||
\(838\) | 28.5775 | + | 17.1945i | 0.987193 | + | 0.593974i | ||||
\(839\) | −11.1575 | − | 8.48174i | −0.385201 | − | 0.292822i | 0.394596 | − | 0.918855i | \(-0.370885\pi\) |
−0.779797 | + | 0.626033i | \(0.784678\pi\) | |||||||
\(840\) | −0.965641 | + | 2.42358i | −0.0333178 | + | 0.0836213i | ||||
\(841\) | −17.4474 | + | 20.5407i | −0.601636 | + | 0.708300i | ||||
\(842\) | −0.0544539 | + | 0.332154i | −0.00187661 | + | 0.0114468i | ||||
\(843\) | 0.299436 | − | 5.52277i | 0.0103131 | − | 0.190214i | ||||
\(844\) | 16.5069 | − | 3.63345i | 0.568192 | − | 0.125068i | ||||
\(845\) | −0.179444 | − | 0.169978i | −0.00617306 | − | 0.00584743i | ||||
\(846\) | −1.32490 | − | 0.446409i | −0.0455509 | − | 0.0153479i | ||||
\(847\) | 3.56439 | + | 8.94595i | 0.122474 | + | 0.307387i | ||||
\(848\) | 0.533987 | − | 1.92325i | 0.0183372 | − | 0.0660446i | ||||
\(849\) | 23.2834 | + | 5.12506i | 0.799084 | + | 0.175892i | ||||
\(850\) | 0.00267839 | + | 0.00395033i | 9.18681e−5 | + | 0.000135495i | ||||
\(851\) | 0.189536 | − | 0.357503i | 0.00649721 | − | 0.0122550i | ||||
\(852\) | −4.79148 | − | 9.03769i | −0.164153 | − | 0.309626i | ||||
\(853\) | 15.3186 | − | 22.5932i | 0.524497 | − | 0.773576i | −0.469505 | − | 0.882930i | \(-0.655568\pi\) |
0.994003 | + | 0.109354i | \(0.0348781\pi\) | |||||||
\(854\) | −9.29005 | + | 8.80000i | −0.317899 | + | 0.301130i | ||||
\(855\) | −9.64826 | + | 4.46376i | −0.329963 | + | 0.152657i | ||||
\(856\) | 0.0504889 | − | 0.0233587i | 0.00172568 | − | 0.000798383i | ||||
\(857\) | 21.1900 | − | 20.0722i | 0.723835 | − | 0.685653i | −0.234237 | − | 0.972179i | \(-0.575259\pi\) |
0.958072 | + | 0.286526i | \(0.0925006\pi\) | |||||||
\(858\) | 3.36804 | − | 4.96748i | 0.114983 | − | 0.169587i | ||||
\(859\) | 4.92920 | + | 9.29746i | 0.168182 | + | 0.317225i | 0.953249 | − | 0.302186i | \(-0.0977163\pi\) |
−0.785067 | + | 0.619411i | \(0.787371\pi\) | |||||||
\(860\) | 3.77086 | − | 7.11259i | 0.128585 | − | 0.242537i | ||||
\(861\) | −0.199600 | − | 0.294388i | −0.00680236 | − | 0.0100327i | ||||
\(862\) | 0.170526 | + | 0.0375357i | 0.00580815 | + | 0.00127847i | ||||
\(863\) | −9.07759 | + | 32.6945i | −0.309005 | + | 1.11293i | 0.632119 | + | 0.774872i | \(0.282186\pi\) |
−0.941123 | + | 0.338063i | \(0.890228\pi\) | |||||||
\(864\) | −0.370138 | − | 0.928977i | −0.0125924 | − | 0.0316044i | ||||
\(865\) | −23.5988 | − | 7.95136i | −0.802383 | − | 0.270354i | ||||
\(866\) | 22.1300 | + | 20.9626i | 0.752007 | + | 0.712339i | ||||
\(867\) | 5.89002 | − | 1.29649i | 0.200036 | − | 0.0440312i | ||||
\(868\) | −0.144888 | + | 2.67230i | −0.00491781 | + | 0.0907037i | ||||
\(869\) | 2.47103 | − | 15.0726i | 0.0838241 | − | 0.511304i | ||||
\(870\) | −2.07206 | + | 2.43941i | −0.0702493 | + | 0.0827038i | ||||
\(871\) | −5.07414 | + | 12.7351i | −0.171931 | + | 0.431514i | ||||
\(872\) | −5.71061 | − | 4.34109i | −0.193386 | − | 0.147008i | ||||
\(873\) | −13.9152 | − | 8.37252i | −0.470960 | − | 0.283367i | ||||
\(874\) | −0.0865652 | − | 0.528024i | −0.00292811 | − | 0.0178607i | ||||
\(875\) | 12.9716 | − | 1.41075i | 0.438520 | − | 0.0476920i | ||||
\(876\) | 5.07837 | − | 3.86048i | 0.171582 | − | 0.130433i | ||||
\(877\) | −2.64527 | − | 9.52739i | −0.0893243 | − | 0.321717i | 0.905366 | − | 0.424632i | \(-0.139597\pi\) |
−0.994690 | + | 0.102915i | \(0.967183\pi\) | |||||||
\(878\) | −0.0487504 | − | 0.899148i | −0.00164525 | − | 0.0303448i | ||||
\(879\) | −26.8152 | − | 2.91633i | −0.904454 | − | 0.0983653i | ||||
\(880\) | 3.17533 | − | 1.91054i | 0.107041 | − | 0.0644041i | ||||
\(881\) | 14.1436 | + | 16.6511i | 0.476509 | + | 0.560990i | 0.946925 | − | 0.321455i | \(-0.104172\pi\) |
−0.470416 | + | 0.882445i | \(0.655896\pi\) | |||||||
\(882\) | −5.34322 | + | 1.80034i | −0.179916 | + | 0.0606206i | ||||
\(883\) | 27.0436 | + | 12.5117i | 0.910090 | + | 0.421053i | 0.818343 | − | 0.574730i | \(-0.194893\pi\) |
0.0917471 | + | 0.995782i | \(0.470755\pi\) | |||||||
\(884\) | −11.9921 | −0.403336 | ||||||||
\(885\) | −7.93910 | + | 15.2278i | −0.266870 | + | 0.511877i | ||||
\(886\) | 7.24637 | 0.243447 | ||||||||
\(887\) | 21.9618 | + | 10.1606i | 0.737404 | + | 0.341159i | 0.752381 | − | 0.658729i | \(-0.228905\pi\) |
−0.0149769 | + | 0.999888i | \(0.504767\pi\) | |||||||
\(888\) | −3.40759 | + | 1.14815i | −0.114351 | + | 0.0385294i | ||||
\(889\) | −9.96593 | − | 11.7328i | −0.334247 | − | 0.393505i | ||||
\(890\) | 17.2253 | − | 10.3641i | 0.577395 | − | 0.347407i | ||||
\(891\) | 1.64780 | + | 0.179209i | 0.0552035 | + | 0.00600374i | ||||
\(892\) | −1.29202 | − | 23.8299i | −0.0432599 | − | 0.797882i | ||||
\(893\) | 1.77847 | + | 6.40546i | 0.0595141 | + | 0.214351i | ||||
\(894\) | −15.9490 | + | 12.1241i | −0.533414 | + | 0.405491i | ||||
\(895\) | −40.0303 | + | 4.35356i | −1.33807 | + | 0.145524i | ||||
\(896\) | 0.188782 | + | 1.15152i | 0.00630675 | + | 0.0384695i | ||||
\(897\) | 0.349131 | + | 0.210065i | 0.0116571 | + | 0.00701387i | ||||
\(898\) | 0.281961 | + | 0.214341i | 0.00940917 | + | 0.00715267i | ||||
\(899\) | −1.21527 | + | 3.05009i | −0.0405315 | + | 0.101726i | ||||
\(900\) | −0.000932925 | 0.00109832i | −3.10975e−5 | 3.66108e-5i | ||||||
\(901\) | 1.06948 | − | 6.52356i | 0.0356297 | − | 0.217331i | ||||
\(902\) | −0.0273522 | + | 0.504481i | −0.000910728 | + | 0.0167974i | ||||
\(903\) | −4.10344 | + | 0.903236i | −0.136554 | + | 0.0300578i | ||||
\(904\) | 5.25495 | + | 4.97775i | 0.174777 | + | 0.165557i | ||||
\(905\) | 30.0473 | + | 10.1241i | 0.998807 | + | 0.336537i | ||||
\(906\) | −3.14777 | − | 7.90030i | −0.104578 | − | 0.262470i | ||||
\(907\) | 5.28410 | − | 19.0316i | 0.175456 | − | 0.631935i | −0.822543 | − | 0.568703i | \(-0.807445\pi\) |
0.997999 | − | 0.0632318i | \(-0.0201408\pi\) | |||||||
\(908\) | 7.51120 | + | 1.65334i | 0.249268 | + | 0.0548680i | ||||
\(909\) | −3.33649 | − | 4.92096i | −0.110665 | − | 0.163218i | ||||
\(910\) | −4.42473 | + | 8.34593i | −0.146678 | + | 0.276665i | ||||
\(911\) | 18.8884 | + | 35.6273i | 0.625800 | + | 1.18038i | 0.970370 | + | 0.241624i | \(0.0776799\pi\) |
−0.344570 | + | 0.938761i | \(0.611975\pi\) | |||||||
\(912\) | −2.66840 | + | 3.93560i | −0.0883596 | + | 0.130321i | ||||
\(913\) | 4.23101 | − | 4.00783i | 0.140026 | − | 0.132640i | ||||
\(914\) | 30.9199 | − | 14.3051i | 1.02274 | − | 0.473170i | ||||
\(915\) | 22.2515 | − | 10.2947i | 0.735613 | − | 0.340331i | ||||
\(916\) | 16.6752 | − | 15.7956i | 0.550966 | − | 0.521902i | ||||
\(917\) | −12.6035 | + | 18.5888i | −0.416205 | + | 0.613857i | ||||
\(918\) | −1.55134 | − | 2.92614i | −0.0512019 | − | 0.0965771i | ||||
\(919\) | −7.89167 | + | 14.8853i | −0.260322 | + | 0.491020i | −0.978877 | − | 0.204451i | \(-0.934459\pi\) |
0.718555 | + | 0.695471i | \(0.244804\pi\) | |||||||
\(920\) | 0.141189 | + | 0.208237i | 0.00465485 | + | 0.00686539i | ||||
\(921\) | 5.13229 | + | 1.12970i | 0.169115 | + | 0.0372250i | ||||
\(922\) | −2.72706 | + | 9.82200i | −0.0898111 | + | 0.323470i | ||||
\(923\) | −13.7094 | − | 34.4081i | −0.451251 | − | 1.13256i | ||||
\(924\) | −1.83289 | − | 0.617574i | −0.0602978 | − | 0.0203167i | ||||
\(925\) | 0.00376196 | + | 0.00356352i | 0.000123693 | + | 0.000117168i | ||||
\(926\) | −18.0328 | + | 3.96932i | −0.592594 | + | 0.130440i | ||||
\(927\) | −0.890030 | + | 16.4156i | −0.0292324 | + | 0.539160i | ||||
\(928\) | −0.231604 | + | 1.41272i | −0.00760277 | + | 0.0463748i | ||||
\(929\) | 33.4130 | − | 39.3368i | 1.09625 | − | 1.29060i | 0.142562 | − | 0.989786i | \(-0.454466\pi\) |
0.953683 | − | 0.300814i | \(-0.0972582\pi\) | |||||||
\(930\) | 1.89792 | − | 4.76343i | 0.0622354 | − | 0.156199i | ||||
\(931\) | 21.3433 | + | 16.2247i | 0.699498 | + | 0.531744i | ||||
\(932\) | 11.1649 | + | 6.71771i | 0.365719 | + | 0.220046i | ||||
\(933\) | −2.54804 | − | 15.5423i | −0.0834190 | − | 0.508833i | ||||
\(934\) | −30.3188 | + | 3.29737i | −0.992061 | + | 0.107893i | ||||
\(935\) | 9.77075 | − | 7.42753i | 0.319538 | − | 0.242906i | ||||
\(936\) | −0.968680 | − | 3.48887i | −0.0316623 | − | 0.114037i | ||||
\(937\) | −1.08737 | − | 20.0553i | −0.0355228 | − | 0.655179i | −0.961029 | − | 0.276447i | \(-0.910843\pi\) |
0.925506 | − | 0.378732i | \(-0.123640\pi\) | |||||||
\(938\) | 4.39202 | + | 0.477661i | 0.143405 | + | 0.0155962i | ||||
\(939\) | −19.5387 | + | 11.7560i | −0.637621 | + | 0.383644i | ||||
\(940\) | −2.02357 | − | 2.38233i | −0.0660016 | − | 0.0777031i | ||||
\(941\) | −19.9347 | + | 6.71678i | −0.649852 | + | 0.218961i | −0.624872 | − | 0.780727i | \(-0.714849\pi\) |
−0.0249801 | + | 0.999688i | \(0.507952\pi\) | |||||||
\(942\) | −15.3209 | − | 7.08821i | −0.499182 | − | 0.230946i | ||||
\(943\) | −0.0342999 | −0.00111696 | ||||||||
\(944\) | 0.468781 | + | 7.66683i | 0.0152575 | + | 0.249534i | ||||
\(945\) | −2.60887 | −0.0848664 | ||||||||
\(946\) | 5.41669 | + | 2.50603i | 0.176112 | + | 0.0814781i | ||||
\(947\) | 45.6151 | − | 15.3695i | 1.48229 | − | 0.499443i | 0.542167 | − | 0.840271i | \(-0.317604\pi\) |
0.940126 | + | 0.340828i | \(0.110707\pi\) | |||||||
\(948\) | −5.96559 | − | 7.02324i | −0.193753 | − | 0.228104i | ||||
\(949\) | 19.7915 | − | 11.9082i | 0.642460 | − | 0.386555i | ||||
\(950\) | 0.00681198 | 0.000740848i | 0.000221010 | 2.40363e-5i | ||||||
\(951\) | 0.0920393 | + | 1.69756i | 0.00298458 | + | 0.0550473i | ||||
\(952\) | 1.03391 | + | 3.72380i | 0.0335092 | + | 0.120689i | ||||
\(953\) | 7.10897 | − | 5.40410i | 0.230282 | − | 0.175056i | −0.483670 | − | 0.875250i | \(-0.660697\pi\) |
0.713952 | + | 0.700195i | \(0.246903\pi\) | |||||||
\(954\) | 1.98430 | − | 0.215806i | 0.0642442 | − | 0.00698697i | ||||
\(955\) | −2.74432 | − | 16.7396i | −0.0888039 | − | 0.541680i | ||||
\(956\) | 15.4511 | + | 9.29662i | 0.499724 | + | 0.300674i | ||||
\(957\) | −1.88903 | − | 1.43600i | −0.0610635 | − | 0.0464193i | ||||
\(958\) | −8.58294 | + | 21.5416i | −0.277302 | + | 0.695976i | ||||
\(959\) | −8.77170 | + | 10.3268i | −0.283253 | + | 0.333471i | ||||
\(960\) | 0.361703 | − | 2.20629i | 0.0116739 | − | 0.0712078i | ||||
\(961\) | −1.39354 | + | 25.7023i | −0.0449528 | + | 0.829105i | ||||
\(962\) | −12.7155 | + | 2.79890i | −0.409965 | + | 0.0902400i | ||||
\(963\) | 0.0403875 | + | 0.0382571i | 0.00130147 | + | 0.00123282i | ||||
\(964\) | −5.32098 | − | 1.79285i | −0.171377 | − | 0.0577437i | ||||
\(965\) | 10.0287 | + | 25.1701i | 0.322835 | + | 0.810254i | ||||
\(966\) | 0.0351292 | − | 0.126524i | 0.00113026 | − | 0.00407084i | ||||
\(967\) | 27.1373 | + | 5.97338i | 0.872677 | + | 0.192091i | 0.628660 | − | 0.777680i | \(-0.283604\pi\) |
0.244017 | + | 0.969771i | \(0.421535\pi\) | |||||||
\(968\) | −4.63127 | − | 6.83061i | −0.148855 | − | 0.219544i | ||||
\(969\) | −7.37652 | + | 13.9136i | −0.236968 | + | 0.446969i | ||||
\(970\) | −17.0071 | − | 32.0787i | −0.546064 | − | 1.02999i | ||||
\(971\) | −24.0870 | + | 35.5257i | −0.772989 | + | 1.14007i | 0.213612 | + | 0.976919i | \(0.431477\pi\) |
−0.986601 | + | 0.163154i | \(0.947833\pi\) | |||||||
\(972\) | 0.725995 | − | 0.687699i | 0.0232863 | − | 0.0220580i | ||||
\(973\) | 10.1935 | − | 4.71602i | 0.326789 | − | 0.151189i | ||||
\(974\) | 20.3972 | − | 9.43677i | 0.653570 | − | 0.302374i | ||||
\(975\) | −0.00378815 | + | 0.00358833i | −0.000121318 | + | 0.000114919i | ||||
\(976\) | 6.15407 | − | 9.07657i | 0.196987 | − | 0.290534i | ||||
\(977\) | 16.8783 | + | 31.8359i | 0.539985 | + | 1.01852i | 0.991968 | + | 0.126493i | \(0.0403721\pi\) |
−0.451982 | + | 0.892027i | \(0.649283\pi\) | |||||||
\(978\) | 4.28262 | − | 8.07789i | 0.136943 | − | 0.258302i | ||||
\(979\) | 8.36379 | + | 12.3357i | 0.267308 | + | 0.394250i | ||||
\(980\) | −12.3112 | − | 2.70991i | −0.393268 | − | 0.0865649i | ||||
\(981\) | 1.91906 | − | 6.91182i | 0.0612708 | − | 0.220678i | ||||
\(982\) | 7.02020 | + | 17.6194i | 0.224024 | + | 0.562257i | ||||
\(983\) | 14.6355 | + | 4.93126i | 0.466799 | + | 0.157283i | 0.542865 | − | 0.839820i | \(-0.317340\pi\) |
−0.0760663 | + | 0.997103i | \(0.524236\pi\) | |||||||
\(984\) | 0.221288 | + | 0.209615i | 0.00705440 | + | 0.00668228i | ||||
\(985\) | −44.1623 | + | 9.72085i | −1.40713 | + | 0.309732i | ||||
\(986\) | −0.256689 | + | 4.73436i | −0.00817466 | + | 0.150773i | ||||
\(987\) | −0.263932 | + | 1.60991i | −0.00840105 | + | 0.0512441i | ||||
\(988\) | −11.1460 | + | 13.1220i | −0.354600 | + | 0.417468i | ||||
\(989\) | −0.149978 | + | 0.376415i | −0.00476901 | + | 0.0119693i | ||||
\(990\) | 2.95016 | + | 2.24265i | 0.0937621 | + | 0.0712761i | ||||
\(991\) | −12.6297 | − | 7.59906i | −0.401197 | − | 0.241392i | 0.300628 | − | 0.953741i | \(-0.402804\pi\) |
−0.701825 | + | 0.712349i | \(0.747631\pi\) | |||||||
\(992\) | −0.371042 | − | 2.26326i | −0.0117806 | − | 0.0718584i | ||||
\(993\) | −10.2462 | + | 1.11434i | −0.325152 | + | 0.0353624i | ||||
\(994\) | −9.50251 | + | 7.22362i | −0.301401 | + | 0.229119i | ||||
\(995\) | 1.47118 | + | 5.29870i | 0.0466394 | + | 0.167980i | ||||
\(996\) | −0.190354 | − | 3.51087i | −0.00603159 | − | 0.111246i | ||||
\(997\) | 51.5823 | + | 5.60991i | 1.63363 | + | 0.177668i | 0.878444 | − | 0.477846i | \(-0.158582\pi\) |
0.755184 | + | 0.655513i | \(0.227548\pi\) | |||||||
\(998\) | 9.22781 | − | 5.55219i | 0.292101 | − | 0.175752i | ||||
\(999\) | −2.32788 | − | 2.74059i | −0.0736509 | − | 0.0867086i |
(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 | 354.2.e.b.79.1 | ✓ | 56 | |
59.3 | even | 29 | inner | 354.2.e.b.121.1 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.79.1 | ✓ | 56 | 1.1 | even | 1 | trivial | |
354.2.e.b.121.1 | yes | 56 | 59.3 | even | 29 | inner |