Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(31,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.q (of order \(21\), degree \(12\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 31.3 | ||
Character | \(\chi\) | \(=\) | 430.31 |
Dual form | 430.2.q.c.111.3 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.900969 | − | 0.433884i | 0.637081 | − | 0.306802i | ||||
\(3\) | 1.41868 | − | 0.967239i | 0.819074 | − | 0.558436i | −0.0797141 | − | 0.996818i | \(-0.525401\pi\) |
0.898789 | + | 0.438382i | \(0.144448\pi\) | |||||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | −0.733052 | − | 0.680173i | −0.327831 | − | 0.304182i | ||||
\(6\) | 0.858516 | − | 1.48699i | 0.350488 | − | 0.607063i | ||||
\(7\) | −0.475578 | − | 0.823725i | −0.179752 | − | 0.311339i | 0.762044 | − | 0.647525i | \(-0.224196\pi\) |
−0.941795 | + | 0.336187i | \(0.890863\pi\) | |||||||
\(8\) | 0.222521 | − | 0.974928i | 0.0786730 | − | 0.344689i | ||||
\(9\) | −0.0189247 | + | 0.0482195i | −0.00630825 | + | 0.0160732i | ||||
\(10\) | −0.955573 | − | 0.294755i | −0.302179 | − | 0.0932098i | ||||
\(11\) | −1.16343 | − | 1.45889i | −0.350786 | − | 0.439872i | 0.574866 | − | 0.818248i | \(-0.305054\pi\) |
−0.925652 | + | 0.378376i | \(0.876483\pi\) | |||||||
\(12\) | 0.128314 | − | 1.71223i | 0.0370411 | − | 0.494279i | ||||
\(13\) | 5.50331 | − | 1.69755i | 1.52634 | − | 0.470815i | 0.585791 | − | 0.810462i | \(-0.300784\pi\) |
0.940553 | + | 0.339648i | \(0.110308\pi\) | |||||||
\(14\) | −0.785882 | − | 0.535805i | −0.210036 | − | 0.143200i | ||||
\(15\) | −1.69785 | − | 0.255910i | −0.438384 | − | 0.0660758i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | 0.502269 | − | 0.466038i | 0.121818 | − | 0.113031i | −0.616912 | − | 0.787032i | \(-0.711616\pi\) |
0.738730 | + | 0.674002i | \(0.235426\pi\) | |||||||
\(18\) | 0.00387103 | + | 0.0516554i | 0.000912412 | + | 0.0121753i | ||||
\(19\) | −0.423979 | − | 1.08028i | −0.0972675 | − | 0.247833i | 0.873955 | − | 0.486006i | \(-0.161547\pi\) |
−0.971223 | + | 0.238173i | \(0.923452\pi\) | |||||||
\(20\) | −0.988831 | + | 0.149042i | −0.221109 | + | 0.0333269i | ||||
\(21\) | −1.47143 | − | 0.708604i | −0.321093 | − | 0.154630i | ||||
\(22\) | −1.68120 | − | 0.809623i | −0.358433 | − | 0.172612i | ||||
\(23\) | −2.70936 | + | 0.408370i | −0.564940 | + | 0.0851510i | −0.425302 | − | 0.905052i | \(-0.639832\pi\) |
−0.139638 | + | 0.990203i | \(0.544594\pi\) | |||||||
\(24\) | −0.627302 | − | 1.59834i | −0.128048 | − | 0.326260i | ||||
\(25\) | 0.0747301 | + | 0.997204i | 0.0149460 | + | 0.199441i | ||||
\(26\) | 4.22177 | − | 3.91723i | 0.827958 | − | 0.768233i | ||||
\(27\) | 1.16602 | + | 5.10866i | 0.224400 | + | 0.983162i | ||||
\(28\) | −0.940532 | − | 0.141762i | −0.177744 | − | 0.0267906i | ||||
\(29\) | 0.948464 | + | 0.646652i | 0.176125 | + | 0.120080i | 0.648174 | − | 0.761492i | \(-0.275533\pi\) |
−0.472049 | + | 0.881573i | \(0.656485\pi\) | |||||||
\(30\) | −1.64075 | + | 0.506104i | −0.299558 | + | 0.0924016i | ||||
\(31\) | −0.658205 | + | 8.78313i | −0.118217 | + | 1.57750i | 0.551048 | + | 0.834473i | \(0.314228\pi\) |
−0.669265 | + | 0.743024i | \(0.733391\pi\) | |||||||
\(32\) | −0.623490 | − | 0.781831i | −0.110218 | − | 0.138210i | ||||
\(33\) | −3.06162 | − | 0.944386i | −0.532960 | − | 0.164396i | ||||
\(34\) | 0.250323 | − | 0.637812i | 0.0429300 | − | 0.109384i | ||||
\(35\) | −0.211652 | + | 0.927308i | −0.0357757 | + | 0.156744i | ||||
\(36\) | 0.0259001 | + | 0.0448603i | 0.00431668 | + | 0.00747672i | ||||
\(37\) | −2.53376 | + | 4.38860i | −0.416547 | + | 0.721481i | −0.995589 | − | 0.0938166i | \(-0.970093\pi\) |
0.579042 | + | 0.815298i | \(0.303427\pi\) | |||||||
\(38\) | −0.850708 | − | 0.789342i | −0.138003 | − | 0.128048i | ||||
\(39\) | 6.16550 | − | 7.73129i | 0.987269 | − | 1.23800i | ||||
\(40\) | −0.826239 | + | 0.563320i | −0.130640 | + | 0.0890687i | ||||
\(41\) | −3.09118 | + | 1.48864i | −0.482762 | + | 0.232486i | −0.659403 | − | 0.751789i | \(-0.729191\pi\) |
0.176641 | + | 0.984275i | \(0.443477\pi\) | |||||||
\(42\) | −1.63316 | −0.252003 | ||||||||
\(43\) | 6.29979 | + | 1.82007i | 0.960709 | + | 0.277559i | ||||
\(44\) | −1.86599 | −0.281309 | ||||||||
\(45\) | 0.0466704 | − | 0.0224753i | 0.00695721 | − | 0.00335042i | ||||
\(46\) | −2.26386 | + | 1.54347i | −0.333788 | + | 0.227573i | ||||
\(47\) | −2.95254 | + | 3.70236i | −0.430672 | + | 0.540045i | −0.949058 | − | 0.315101i | \(-0.897961\pi\) |
0.518386 | + | 0.855146i | \(0.326533\pi\) | |||||||
\(48\) | −1.25867 | − | 1.16788i | −0.181674 | − | 0.168569i | ||||
\(49\) | 3.04765 | − | 5.27869i | 0.435379 | − | 0.754098i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 0.261789 | − | 1.14697i | 0.0366578 | − | 0.160608i | ||||
\(52\) | 2.10406 | − | 5.36106i | 0.291781 | − | 0.743446i | ||||
\(53\) | 3.17668 | + | 0.979877i | 0.436351 | + | 0.134596i | 0.505145 | − | 0.863034i | \(-0.331439\pi\) |
−0.0687941 | + | 0.997631i | \(0.521915\pi\) | |||||||
\(54\) | 3.26711 | + | 4.09683i | 0.444598 | + | 0.557508i | ||||
\(55\) | −0.139446 | + | 1.86077i | −0.0188029 | + | 0.250907i | ||||
\(56\) | −0.908898 | + | 0.280358i | −0.121457 | + | 0.0374644i | ||||
\(57\) | −1.64638 | − | 1.12248i | −0.218068 | − | 0.148676i | ||||
\(58\) | 1.13511 | + | 0.171090i | 0.149047 | + | 0.0224652i | ||||
\(59\) | 1.43679 | + | 6.29500i | 0.187054 | + | 0.819539i | 0.978159 | + | 0.207858i | \(0.0666492\pi\) |
−0.791105 | + | 0.611681i | \(0.790494\pi\) | |||||||
\(60\) | −1.25867 | + | 1.16788i | −0.162494 | + | 0.150772i | ||||
\(61\) | −0.0511369 | − | 0.682375i | −0.00654742 | − | 0.0873692i | 0.992973 | − | 0.118343i | \(-0.0377582\pi\) |
−0.999520 | + | 0.0309738i | \(0.990139\pi\) | |||||||
\(62\) | 3.21784 | + | 8.19891i | 0.408666 | + | 1.04126i | ||||
\(63\) | 0.0487198 | − | 0.00734332i | 0.00613811 | − | 0.000925171i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | −5.18884 | − | 2.49881i | −0.643596 | − | 0.309939i | ||||
\(66\) | −3.16818 | + | 0.477526i | −0.389976 | + | 0.0587794i | ||||
\(67\) | 0.390742 | + | 0.995595i | 0.0477368 | + | 0.121631i | 0.952753 | − | 0.303745i | \(-0.0982370\pi\) |
−0.905017 | + | 0.425376i | \(0.860142\pi\) | |||||||
\(68\) | −0.0512032 | − | 0.683259i | −0.00620930 | − | 0.0828574i | ||||
\(69\) | −3.44872 | + | 3.19994i | −0.415177 | + | 0.385228i | ||||
\(70\) | 0.211652 | + | 0.927308i | 0.0252973 | + | 0.110835i | ||||
\(71\) | −2.22669 | − | 0.335619i | −0.264259 | − | 0.0398307i | 0.0155761 | − | 0.999879i | \(-0.495042\pi\) |
−0.279835 | + | 0.960048i | \(0.590280\pi\) | |||||||
\(72\) | 0.0427993 | + | 0.0291801i | 0.00504395 | + | 0.00343891i | ||||
\(73\) | 0.0726622 | − | 0.0224133i | 0.00850447 | − | 0.00262328i | −0.290500 | − | 0.956875i | \(-0.593822\pi\) |
0.299004 | + | 0.954252i | \(0.403345\pi\) | |||||||
\(74\) | −0.378696 | + | 5.05335i | −0.0440225 | + | 0.587440i | ||||
\(75\) | 1.07055 | + | 1.34243i | 0.123617 | + | 0.155010i | ||||
\(76\) | −1.10894 | − | 0.342064i | −0.127205 | − | 0.0392374i | ||||
\(77\) | −0.648425 | + | 1.65216i | −0.0738948 | + | 0.188281i | ||||
\(78\) | 2.20044 | − | 9.64076i | 0.249151 | − | 1.09160i | ||||
\(79\) | −5.92978 | − | 10.2707i | −0.667153 | − | 1.15554i | −0.978697 | − | 0.205311i | \(-0.934180\pi\) |
0.311544 | − | 0.950232i | \(-0.399154\pi\) | |||||||
\(80\) | −0.500000 | + | 0.866025i | −0.0559017 | + | 0.0968246i | ||||
\(81\) | 6.48158 | + | 6.01403i | 0.720176 | + | 0.668226i | ||||
\(82\) | −2.13917 | + | 2.68243i | −0.236231 | + | 0.296225i | ||||
\(83\) | 4.78609 | − | 3.26310i | 0.525342 | − | 0.358172i | −0.271424 | − | 0.962460i | \(-0.587495\pi\) |
0.796766 | + | 0.604288i | \(0.206542\pi\) | |||||||
\(84\) | −1.47143 | + | 0.708604i | −0.160546 | + | 0.0773150i | ||||
\(85\) | −0.685175 | −0.0743177 | ||||||||
\(86\) | 6.46561 | − | 1.09355i | 0.697205 | − | 0.117920i | ||||
\(87\) | 1.97103 | 0.211317 | ||||||||
\(88\) | −1.68120 | + | 0.809623i | −0.179216 | + | 0.0863061i | ||||
\(89\) | 7.28376 | − | 4.96598i | 0.772077 | − | 0.526393i | −0.112015 | − | 0.993707i | \(-0.535730\pi\) |
0.884092 | + | 0.467314i | \(0.154778\pi\) | |||||||
\(90\) | 0.0322969 | − | 0.0404990i | 0.00340439 | − | 0.00426897i | ||||
\(91\) | −4.01556 | − | 3.72590i | −0.420945 | − | 0.390580i | ||||
\(92\) | −1.36998 | + | 2.37287i | −0.142830 | + | 0.247389i | ||||
\(93\) | 7.56160 | + | 13.0971i | 0.784102 | + | 1.35810i | ||||
\(94\) | −1.05375 | + | 4.61677i | −0.108686 | + | 0.476184i | ||||
\(95\) | −0.423979 | + | 1.08028i | −0.0434993 | + | 0.110834i | ||||
\(96\) | −1.64075 | − | 0.506104i | −0.167458 | − | 0.0516540i | ||||
\(97\) | 6.39805 | + | 8.02290i | 0.649624 | + | 0.814602i | 0.992169 | − | 0.124899i | \(-0.0398606\pi\) |
−0.342546 | + | 0.939501i | \(0.611289\pi\) | |||||||
\(98\) | 0.455503 | − | 6.07826i | 0.0460127 | − | 0.613997i | ||||
\(99\) | 0.0923644 | − | 0.0284907i | 0.00928298 | − | 0.00286342i | ||||
\(100\) | 0.826239 | + | 0.563320i | 0.0826239 | + | 0.0563320i | ||||
\(101\) | −14.3181 | − | 2.15810i | −1.42470 | − | 0.214739i | −0.608982 | − | 0.793184i | \(-0.708422\pi\) |
−0.815721 | + | 0.578445i | \(0.803660\pi\) | |||||||
\(102\) | −0.261789 | − | 1.14697i | −0.0259209 | − | 0.113567i | ||||
\(103\) | −5.28939 | + | 4.90784i | −0.521179 | + | 0.483584i | −0.896335 | − | 0.443378i | \(-0.853780\pi\) |
0.375155 | + | 0.926962i | \(0.377589\pi\) | |||||||
\(104\) | −0.430384 | − | 5.74307i | −0.0422026 | − | 0.563154i | ||||
\(105\) | 0.596662 | + | 1.52027i | 0.0582283 | + | 0.148363i | ||||
\(106\) | 3.28725 | − | 0.495473i | 0.319286 | − | 0.0481245i | ||||
\(107\) | −10.0740 | − | 4.85139i | −0.973892 | − | 0.469002i | −0.121892 | − | 0.992543i | \(-0.538896\pi\) |
−0.852000 | + | 0.523542i | \(0.824610\pi\) | |||||||
\(108\) | 4.72111 | + | 2.27357i | 0.454289 | + | 0.218774i | ||||
\(109\) | 14.9695 | − | 2.25629i | 1.43382 | − | 0.216113i | 0.614258 | − | 0.789106i | \(-0.289456\pi\) |
0.819561 | + | 0.572992i | \(0.194218\pi\) | |||||||
\(110\) | 0.681723 | + | 1.73700i | 0.0649997 | + | 0.165617i | ||||
\(111\) | 0.650233 | + | 8.67676i | 0.0617174 | + | 0.823561i | ||||
\(112\) | −0.697246 | + | 0.646950i | −0.0658836 | + | 0.0611310i | ||||
\(113\) | −1.29892 | − | 5.69095i | −0.122192 | − | 0.535360i | −0.998557 | − | 0.0537107i | \(-0.982895\pi\) |
0.876364 | − | 0.481649i | \(-0.159962\pi\) | |||||||
\(114\) | −1.97036 | − | 0.296985i | −0.184541 | − | 0.0278151i | ||||
\(115\) | 2.26386 | + | 1.54347i | 0.211106 | + | 0.143930i | ||||
\(116\) | 1.09693 | − | 0.338358i | 0.101847 | − | 0.0314158i | ||||
\(117\) | −0.0222940 | + | 0.297492i | −0.00206108 | + | 0.0275032i | ||||
\(118\) | 4.02580 | + | 5.04820i | 0.370605 | + | 0.464724i | ||||
\(119\) | −0.622755 | − | 0.192094i | −0.0570878 | − | 0.0176093i | ||||
\(120\) | −0.627302 | + | 1.59834i | −0.0572646 | + | 0.145908i | ||||
\(121\) | 1.67293 | − | 7.32958i | 0.152085 | − | 0.666326i | ||||
\(122\) | −0.342144 | − | 0.592611i | −0.0309763 | − | 0.0536525i | ||||
\(123\) | −2.94553 | + | 5.10181i | −0.265590 | + | 0.460015i | ||||
\(124\) | 6.45655 | + | 5.99080i | 0.579815 | + | 0.537990i | ||||
\(125\) | 0.623490 | − | 0.781831i | 0.0557666 | − | 0.0699291i | ||||
\(126\) | 0.0407088 | − | 0.0277548i | 0.00362663 | − | 0.00247260i | ||||
\(127\) | −19.4985 | + | 9.39000i | −1.73021 | + | 0.833228i | −0.743913 | + | 0.668276i | \(0.767032\pi\) |
−0.986302 | + | 0.164951i | \(0.947253\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 10.6978 | − | 3.51130i | 0.941891 | − | 0.309153i | ||||
\(130\) | −5.75917 | −0.505113 | ||||||||
\(131\) | −6.76723 | + | 3.25892i | −0.591255 | + | 0.284734i | −0.705490 | − | 0.708720i | \(-0.749273\pi\) |
0.114234 | + | 0.993454i | \(0.463559\pi\) | |||||||
\(132\) | −2.64724 | + | 1.80486i | −0.230413 | + | 0.157093i | ||||
\(133\) | −0.688219 | + | 0.863000i | −0.0596762 | + | 0.0748316i | ||||
\(134\) | 0.784019 | + | 0.727463i | 0.0677289 | + | 0.0628433i | ||||
\(135\) | 2.62002 | − | 4.53801i | 0.225495 | − | 0.390569i | ||||
\(136\) | −0.342588 | − | 0.593379i | −0.0293766 | − | 0.0508818i | ||||
\(137\) | −3.73944 | + | 16.3836i | −0.319482 | + | 1.39974i | 0.518981 | + | 0.854786i | \(0.326311\pi\) |
−0.838463 | + | 0.544958i | \(0.816546\pi\) | |||||||
\(138\) | −1.71878 | + | 4.37939i | −0.146313 | + | 0.372798i | ||||
\(139\) | 0.0500351 | + | 0.0154338i | 0.00424392 | + | 0.00130908i | 0.296876 | − | 0.954916i | \(-0.404055\pi\) |
−0.292632 | + | 0.956225i | \(0.594531\pi\) | |||||||
\(140\) | 0.593036 | + | 0.743643i | 0.0501207 | + | 0.0628493i | ||||
\(141\) | −0.607631 | + | 8.10827i | −0.0511717 | + | 0.682839i | ||||
\(142\) | −2.15180 | + | 0.663741i | −0.180575 | + | 0.0556999i | ||||
\(143\) | −8.87923 | − | 6.05376i | −0.742518 | − | 0.506240i | ||||
\(144\) | 0.0512216 | + | 0.00772042i | 0.00426847 | + | 0.000643368i | ||||
\(145\) | −0.255438 | − | 1.11915i | −0.0212130 | − | 0.0929403i | ||||
\(146\) | 0.0557416 | − | 0.0517207i | 0.00461321 | − | 0.00428043i | ||||
\(147\) | −0.782113 | − | 10.4366i | −0.0645076 | − | 0.860794i | ||||
\(148\) | 1.85137 | + | 4.71722i | 0.152182 | + | 0.387753i | ||||
\(149\) | 3.36249 | − | 0.506814i | 0.275466 | − | 0.0415199i | −0.00985625 | − | 0.999951i | \(-0.503137\pi\) |
0.285322 | + | 0.958432i | \(0.407899\pi\) | |||||||
\(150\) | 1.54699 | + | 0.744992i | 0.126311 | + | 0.0608284i | ||||
\(151\) | 5.11318 | + | 2.46238i | 0.416105 | + | 0.200386i | 0.630209 | − | 0.776425i | \(-0.282969\pi\) |
−0.214104 | + | 0.976811i | \(0.568683\pi\) | |||||||
\(152\) | −1.14754 | + | 0.172964i | −0.0930778 | + | 0.0140292i | ||||
\(153\) | 0.0129668 | + | 0.0330388i | 0.00104830 | + | 0.00267103i | ||||
\(154\) | 0.132635 | + | 1.76988i | 0.0106880 | + | 0.142621i | ||||
\(155\) | 6.45655 | − | 5.99080i | 0.518602 | − | 0.481193i | ||||
\(156\) | −2.20044 | − | 9.64076i | −0.176176 | − | 0.771878i | ||||
\(157\) | −8.23351 | − | 1.24100i | −0.657106 | − | 0.0990427i | −0.187978 | − | 0.982173i | \(-0.560193\pi\) |
−0.469127 | + | 0.883130i | \(0.655432\pi\) | |||||||
\(158\) | −9.79883 | − | 6.68073i | −0.779553 | − | 0.531490i | ||||
\(159\) | 5.45447 | − | 1.68248i | 0.432567 | − | 0.133429i | ||||
\(160\) | −0.0747301 | + | 0.997204i | −0.00590793 | + | 0.0788359i | ||||
\(161\) | 1.62489 | + | 2.03755i | 0.128060 | + | 0.160582i | ||||
\(162\) | 8.44909 | + | 2.60620i | 0.663824 | + | 0.204762i | ||||
\(163\) | 0.124792 | − | 0.317964i | 0.00977445 | − | 0.0249049i | −0.925903 | − | 0.377761i | \(-0.876694\pi\) |
0.935678 | + | 0.352856i | \(0.114789\pi\) | |||||||
\(164\) | −0.763459 | + | 3.34493i | −0.0596162 | + | 0.261195i | ||||
\(165\) | 1.60198 | + | 2.77472i | 0.124714 | + | 0.216011i | ||||
\(166\) | 2.89631 | − | 5.01656i | 0.224798 | − | 0.389361i | ||||
\(167\) | −18.3071 | − | 16.9865i | −1.41665 | − | 1.31446i | −0.883496 | − | 0.468439i | \(-0.844817\pi\) |
−0.533153 | − | 0.846019i | \(-0.678993\pi\) | |||||||
\(168\) | −1.01826 | + | 1.27686i | −0.0785606 | + | 0.0985119i | ||||
\(169\) | 16.6636 | − | 11.3611i | 1.28182 | − | 0.873929i | ||||
\(170\) | −0.617322 | + | 0.297286i | −0.0473464 | + | 0.0228008i | ||||
\(171\) | 0.0601142 | 0.00459705 | ||||||||
\(172\) | 5.35084 | − | 3.79058i | 0.407998 | − | 0.289029i | ||||
\(173\) | −9.09848 | −0.691745 | −0.345872 | − | 0.938282i | \(-0.612417\pi\) | ||||
−0.345872 | + | 0.938282i | \(0.612417\pi\) | |||||||
\(174\) | 1.77584 | − | 0.855199i | 0.134626 | − | 0.0648325i | ||||
\(175\) | 0.785882 | − | 0.535805i | 0.0594071 | − | 0.0405031i | ||||
\(176\) | −1.16343 | + | 1.45889i | −0.0876966 | + | 0.109968i | ||||
\(177\) | 8.12711 | + | 7.54086i | 0.610871 | + | 0.566805i | ||||
\(178\) | 4.40778 | − | 7.63450i | 0.330377 | − | 0.572230i | ||||
\(179\) | −2.80218 | − | 4.85353i | −0.209445 | − | 0.362770i | 0.742095 | − | 0.670295i | \(-0.233832\pi\) |
−0.951540 | + | 0.307525i | \(0.900499\pi\) | |||||||
\(180\) | 0.0115266 | − | 0.0505015i | 0.000859144 | − | 0.00376416i | ||||
\(181\) | 4.36885 | − | 11.1316i | 0.324734 | − | 0.827409i | −0.671524 | − | 0.740983i | \(-0.734360\pi\) |
0.996258 | − | 0.0864262i | \(-0.0275447\pi\) | |||||||
\(182\) | −5.23450 | − | 1.61463i | −0.388007 | − | 0.119684i | ||||
\(183\) | −0.732567 | − | 0.918609i | −0.0541529 | − | 0.0679056i | ||||
\(184\) | −0.204757 | + | 2.73230i | −0.0150949 | + | 0.201428i | ||||
\(185\) | 4.84238 | − | 1.49368i | 0.356019 | − | 0.109817i | ||||
\(186\) | 12.4954 | + | 8.51921i | 0.916206 | + | 0.624659i | ||||
\(187\) | −1.26425 | − | 0.190555i | −0.0924512 | − | 0.0139348i | ||||
\(188\) | 1.05375 | + | 4.61677i | 0.0768525 | + | 0.336713i | ||||
\(189\) | 3.65360 | − | 3.39004i | 0.265760 | − | 0.246589i | ||||
\(190\) | 0.0867244 | + | 1.15726i | 0.00629165 | + | 0.0839563i | ||||
\(191\) | −5.23965 | − | 13.3504i | −0.379127 | − | 0.966001i | −0.985325 | − | 0.170687i | \(-0.945401\pi\) |
0.606198 | − | 0.795314i | \(-0.292694\pi\) | |||||||
\(192\) | −1.69785 | + | 0.255910i | −0.122532 | + | 0.0184687i | ||||
\(193\) | 4.45210 | + | 2.14402i | 0.320469 | + | 0.154330i | 0.587202 | − | 0.809441i | \(-0.300230\pi\) |
−0.266732 | + | 0.963771i | \(0.585944\pi\) | |||||||
\(194\) | 9.24545 | + | 4.45237i | 0.663785 | + | 0.319662i | ||||
\(195\) | −9.77824 | + | 1.47383i | −0.700234 | + | 0.105543i | ||||
\(196\) | −2.22686 | − | 5.67396i | −0.159062 | − | 0.405283i | ||||
\(197\) | 1.65472 | + | 22.0807i | 0.117894 | + | 1.57318i | 0.671883 | + | 0.740658i | \(0.265486\pi\) |
−0.553989 | + | 0.832524i | \(0.686895\pi\) | |||||||
\(198\) | 0.0708558 | − | 0.0657446i | 0.00503551 | − | 0.00467227i | ||||
\(199\) | −3.43838 | − | 15.0645i | −0.243740 | − | 1.06790i | −0.937581 | − | 0.347767i | \(-0.886940\pi\) |
0.693841 | − | 0.720128i | \(-0.255917\pi\) | |||||||
\(200\) | 0.988831 | + | 0.149042i | 0.0699209 | + | 0.0105389i | ||||
\(201\) | 1.51732 | + | 1.03449i | 0.107023 | + | 0.0729672i | ||||
\(202\) | −13.8365 | + | 4.26800i | −0.973534 | + | 0.300295i | ||||
\(203\) | 0.0815948 | − | 1.08881i | 0.00572683 | − | 0.0764193i | ||||
\(204\) | −0.733516 | − | 0.919800i | −0.0513564 | − | 0.0643989i | ||||
\(205\) | 3.27853 | + | 1.01129i | 0.228982 | + | 0.0706317i | ||||
\(206\) | −2.63615 | + | 6.71679i | −0.183669 | + | 0.467981i | ||||
\(207\) | 0.0315825 | − | 0.138372i | 0.00219514 | − | 0.00961752i | ||||
\(208\) | −2.87959 | − | 4.98759i | −0.199663 | − | 0.345827i | ||||
\(209\) | −1.08274 | + | 1.87537i | −0.0748949 | + | 0.129722i | ||||
\(210\) | 1.19719 | + | 1.11083i | 0.0826143 | + | 0.0766548i | ||||
\(211\) | −1.75065 | + | 2.19525i | −0.120520 | + | 0.151127i | −0.838431 | − | 0.545007i | \(-0.816527\pi\) |
0.717911 | + | 0.696135i | \(0.245098\pi\) | |||||||
\(212\) | 2.74673 | − | 1.87269i | 0.188646 | − | 0.128617i | ||||
\(213\) | −3.48358 | + | 1.67760i | −0.238691 | + | 0.114947i | ||||
\(214\) | −11.1813 | −0.764339 | ||||||||
\(215\) | −3.38011 | − | 5.61915i | −0.230521 | − | 0.383223i | ||||
\(216\) | 5.24004 | 0.356540 | ||||||||
\(217\) | 7.54791 | − | 3.63488i | 0.512386 | − | 0.246752i | ||||
\(218\) | 12.5081 | − | 8.52787i | 0.847155 | − | 0.577580i | ||||
\(219\) | 0.0814053 | − | 0.102079i | 0.00550086 | − | 0.00689786i | ||||
\(220\) | 1.36787 | + | 1.26920i | 0.0922216 | + | 0.0855692i | ||||
\(221\) | 1.97302 | − | 3.41737i | 0.132720 | − | 0.229877i | ||||
\(222\) | 4.35054 | + | 7.53536i | 0.291989 | + | 0.505740i | ||||
\(223\) | −1.42435 | + | 6.24046i | −0.0953812 | + | 0.417892i | −0.999965 | − | 0.00840415i | \(-0.997325\pi\) |
0.904583 | + | 0.426297i | \(0.140182\pi\) | |||||||
\(224\) | −0.347496 | + | 0.885406i | −0.0232181 | + | 0.0591587i | ||||
\(225\) | −0.0494989 | − | 0.0152684i | −0.00329992 | − | 0.00101789i | ||||
\(226\) | −3.63950 | − | 4.56379i | −0.242096 | − | 0.303579i | ||||
\(227\) | 2.20327 | − | 29.4005i | 0.146236 | − | 1.95138i | −0.132896 | − | 0.991130i | \(-0.542427\pi\) |
0.279131 | − | 0.960253i | \(-0.409953\pi\) | |||||||
\(228\) | −1.90409 | + | 0.587335i | −0.126102 | + | 0.0388972i | ||||
\(229\) | −8.99291 | − | 6.13126i | −0.594268 | − | 0.405165i | 0.228499 | − | 0.973544i | \(-0.426618\pi\) |
−0.822767 | + | 0.568379i | \(0.807571\pi\) | |||||||
\(230\) | 2.70936 | + | 0.408370i | 0.178650 | + | 0.0269271i | ||||
\(231\) | 0.678126 | + | 2.97106i | 0.0446174 | + | 0.195482i | ||||
\(232\) | 0.841492 | − | 0.780791i | 0.0552467 | − | 0.0512614i | ||||
\(233\) | −1.82873 | − | 24.4027i | −0.119804 | − | 1.59868i | −0.656119 | − | 0.754657i | \(-0.727803\pi\) |
0.536315 | − | 0.844018i | \(-0.319816\pi\) | |||||||
\(234\) | 0.108991 | + | 0.277704i | 0.00712496 | + | 0.0181541i | ||||
\(235\) | 4.68261 | − | 0.705790i | 0.305460 | − | 0.0460406i | ||||
\(236\) | 5.81745 | + | 2.80154i | 0.378684 | + | 0.182365i | ||||
\(237\) | −18.3467 | − | 8.83528i | −1.19174 | − | 0.573913i | ||||
\(238\) | −0.644429 | + | 0.0971321i | −0.0417721 | + | 0.00629614i | ||||
\(239\) | 7.07758 | + | 18.0334i | 0.457811 | + | 1.16648i | 0.954409 | + | 0.298502i | \(0.0964870\pi\) |
−0.496598 | + | 0.867981i | \(0.665418\pi\) | |||||||
\(240\) | 0.128314 | + | 1.71223i | 0.00828263 | + | 0.110524i | ||||
\(241\) | 21.0859 | − | 19.5648i | 1.35826 | − | 1.26028i | 0.423090 | − | 0.906088i | \(-0.360946\pi\) |
0.935172 | − | 0.354195i | \(-0.115245\pi\) | |||||||
\(242\) | −1.67293 | − | 7.32958i | −0.107540 | − | 0.471164i | ||||
\(243\) | −0.532251 | − | 0.0802239i | −0.0341439 | − | 0.00514637i | ||||
\(244\) | −0.565386 | − | 0.385473i | −0.0361951 | − | 0.0246774i | ||||
\(245\) | −5.82451 | + | 1.79662i | −0.372114 | + | 0.114782i | ||||
\(246\) | −0.440240 | + | 5.87459i | −0.0280687 | + | 0.374550i | ||||
\(247\) | −4.16711 | − | 5.22540i | −0.265147 | − | 0.332484i | ||||
\(248\) | 8.41646 | + | 2.59613i | 0.534446 | + | 0.164855i | ||||
\(249\) | 3.63373 | − | 9.25859i | 0.230278 | − | 0.586739i | ||||
\(250\) | 0.222521 | − | 0.974928i | 0.0140735 | − | 0.0616599i | ||||
\(251\) | 2.86195 | + | 4.95704i | 0.180645 | + | 0.312886i | 0.942100 | − | 0.335331i | \(-0.108848\pi\) |
−0.761456 | + | 0.648217i | \(0.775515\pi\) | |||||||
\(252\) | 0.0246350 | − | 0.0426691i | 0.00155186 | − | 0.00268790i | ||||
\(253\) | 3.74790 | + | 3.47755i | 0.235629 | + | 0.218631i | ||||
\(254\) | −13.4934 | + | 16.9202i | −0.846651 | + | 1.06167i | ||||
\(255\) | −0.972043 | + | 0.662728i | −0.0608717 | + | 0.0415016i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | 4.73674 | 0.295470 | 0.147735 | − | 0.989027i | \(-0.452802\pi\) | ||||
0.147735 | + | 0.989027i | \(0.452802\pi\) | |||||||
\(258\) | 8.11491 | − | 7.80518i | 0.505212 | − | 0.485929i | ||||
\(259\) | 4.82000 | 0.299500 | ||||||||
\(260\) | −5.18884 | + | 2.49881i | −0.321798 | + | 0.154970i | ||||
\(261\) | −0.0491306 | + | 0.0334967i | −0.00304111 | + | 0.00207339i | ||||
\(262\) | −4.68307 | + | 5.87238i | −0.289321 | + | 0.362797i | ||||
\(263\) | −10.9710 | − | 10.1796i | −0.676501 | − | 0.627701i | 0.265184 | − | 0.964198i | \(-0.414567\pi\) |
−0.941685 | + | 0.336497i | \(0.890758\pi\) | |||||||
\(264\) | −1.60198 | + | 2.77472i | −0.0985953 | + | 0.170772i | ||||
\(265\) | −1.66219 | − | 2.87899i | −0.102107 | − | 0.176855i | ||||
\(266\) | −0.245623 | + | 1.07614i | −0.0150601 | + | 0.0659826i | ||||
\(267\) | 5.53002 | − | 14.0903i | 0.338432 | − | 0.862310i | ||||
\(268\) | 1.02201 | + | 0.315249i | 0.0624293 | + | 0.0192569i | ||||
\(269\) | −19.7149 | − | 24.7217i | −1.20204 | − | 1.50731i | −0.809019 | − | 0.587782i | \(-0.800001\pi\) |
−0.393022 | − | 0.919529i | \(-0.628570\pi\) | |||||||
\(270\) | 0.391589 | − | 5.22539i | 0.0238313 | − | 0.318007i | ||||
\(271\) | 3.19849 | − | 0.986604i | 0.194295 | − | 0.0599319i | −0.196081 | − | 0.980588i | \(-0.562821\pi\) |
0.390375 | + | 0.920656i | \(0.372345\pi\) | |||||||
\(272\) | −0.566118 | − | 0.385973i | −0.0343260 | − | 0.0234030i | ||||
\(273\) | −9.30063 | − | 1.40184i | −0.562899 | − | 0.0848434i | ||||
\(274\) | 3.73944 | + | 16.3836i | 0.225908 | + | 0.989768i | ||||
\(275\) | 1.36787 | − | 1.26920i | 0.0824855 | − | 0.0765354i | ||||
\(276\) | 0.351575 | + | 4.69144i | 0.0211623 | + | 0.282392i | ||||
\(277\) | 6.49886 | + | 16.5588i | 0.390479 | + | 0.994924i | 0.982042 | + | 0.188665i | \(0.0604160\pi\) |
−0.591563 | + | 0.806259i | \(0.701489\pi\) | |||||||
\(278\) | 0.0517766 | − | 0.00780406i | 0.00310535 | − | 0.000468057i | ||||
\(279\) | −0.411061 | − | 0.197957i | −0.0246096 | − | 0.0118514i | ||||
\(280\) | 0.856962 | + | 0.412691i | 0.0512133 | + | 0.0246630i | ||||
\(281\) | 20.7805 | − | 3.13215i | 1.23966 | − | 0.186848i | 0.503702 | − | 0.863877i | \(-0.331971\pi\) |
0.735956 | + | 0.677029i | \(0.236733\pi\) | |||||||
\(282\) | 2.97059 | + | 7.56894i | 0.176896 | + | 0.450724i | ||||
\(283\) | 1.01739 | + | 13.5761i | 0.0604774 | + | 0.807014i | 0.942158 | + | 0.335168i | \(0.108793\pi\) |
−0.881681 | + | 0.471846i | \(0.843588\pi\) | |||||||
\(284\) | −1.65072 | + | 1.53164i | −0.0979519 | + | 0.0908861i | ||||
\(285\) | 0.443400 | + | 1.94266i | 0.0262647 | + | 0.115073i | ||||
\(286\) | −10.6265 | − | 1.60169i | −0.628360 | − | 0.0947101i | ||||
\(287\) | 2.69633 | + | 1.83832i | 0.159159 | + | 0.108513i | ||||
\(288\) | 0.0494989 | − | 0.0152684i | 0.00291675 | − | 0.000899698i | ||||
\(289\) | −1.23533 | + | 16.4843i | −0.0726664 | + | 0.969665i | ||||
\(290\) | −0.715723 | − | 0.897488i | −0.0420287 | − | 0.0527023i | ||||
\(291\) | 16.8368 | + | 5.19348i | 0.986993 | + | 0.304447i | ||||
\(292\) | 0.0277807 | − | 0.0707841i | 0.00162574 | − | 0.00414233i | ||||
\(293\) | −2.91442 | + | 12.7689i | −0.170262 | + | 0.745968i | 0.815628 | + | 0.578577i | \(0.196392\pi\) |
−0.985890 | + | 0.167392i | \(0.946466\pi\) | |||||||
\(294\) | −5.23292 | − | 9.06368i | −0.305190 | − | 0.528604i | ||||
\(295\) | 3.22844 | − | 5.59183i | 0.187967 | − | 0.325569i | ||||
\(296\) | 3.71475 | + | 3.44679i | 0.215916 | + | 0.200340i | ||||
\(297\) | 6.09640 | − | 7.64464i | 0.353749 | − | 0.443587i | ||||
\(298\) | 2.80960 | − | 1.91556i | 0.162756 | − | 0.110965i | ||||
\(299\) | −14.2172 | + | 6.84664i | −0.822202 | + | 0.395952i | ||||
\(300\) | 1.71703 | 0.0991329 | ||||||||
\(301\) | −1.49680 | − | 6.05488i | −0.0862741 | − | 0.348997i | ||||
\(302\) | 5.67521 | 0.326571 | ||||||||
\(303\) | −22.4002 | + | 10.7874i | −1.28686 | + | 0.619717i | ||||
\(304\) | −0.958852 | + | 0.653734i | −0.0549939 | + | 0.0374942i | ||||
\(305\) | −0.426647 | + | 0.534998i | −0.0244297 | + | 0.0306339i | ||||
\(306\) | 0.0260176 | + | 0.0241408i | 0.00148733 | + | 0.00138004i | ||||
\(307\) | 7.68618 | − | 13.3129i | 0.438674 | − | 0.759805i | −0.558914 | − | 0.829226i | \(-0.688782\pi\) |
0.997587 | + | 0.0694208i | \(0.0221151\pi\) | |||||||
\(308\) | 0.887424 | + | 1.53706i | 0.0505657 | + | 0.0875823i | ||||
\(309\) | −2.75690 | + | 12.0788i | −0.156834 | + | 0.687136i | ||||
\(310\) | 3.21784 | − | 8.19891i | 0.182761 | − | 0.465667i | ||||
\(311\) | −8.74566 | − | 2.69768i | −0.495921 | − | 0.152971i | 0.0366982 | − | 0.999326i | \(-0.488316\pi\) |
−0.532619 | + | 0.846355i | \(0.678792\pi\) | |||||||
\(312\) | −6.16550 | − | 7.73129i | −0.349052 | − | 0.437698i | ||||
\(313\) | −0.298613 | + | 3.98471i | −0.0168786 | + | 0.225229i | 0.982385 | + | 0.186867i | \(0.0598332\pi\) |
−0.999264 | + | 0.0383625i | \(0.987786\pi\) | |||||||
\(314\) | −7.95659 | + | 2.45428i | −0.449016 | + | 0.138503i | ||||
\(315\) | −0.0407088 | − | 0.0277548i | −0.00229368 | − | 0.00156381i | ||||
\(316\) | −11.7271 | − | 1.76758i | −0.659701 | − | 0.0994339i | ||||
\(317\) | 4.72892 | + | 20.7188i | 0.265603 | + | 1.16368i | 0.915071 | + | 0.403293i | \(0.132135\pi\) |
−0.649468 | + | 0.760389i | \(0.725008\pi\) | |||||||
\(318\) | 4.18430 | − | 3.88247i | 0.234644 | − | 0.217718i | ||||
\(319\) | −0.160074 | − | 2.13604i | −0.00896242 | − | 0.119595i | ||||
\(320\) | 0.365341 | + | 0.930874i | 0.0204232 | + | 0.0520374i | ||||
\(321\) | −18.9843 | + | 2.86142i | −1.05960 | + | 0.159709i | ||||
\(322\) | 2.34804 | + | 1.13076i | 0.130851 | + | 0.0630146i | ||||
\(323\) | −0.716403 | − | 0.345001i | −0.0398617 | − | 0.0191964i | ||||
\(324\) | 8.74316 | − | 1.31782i | 0.485731 | − | 0.0732122i | ||||
\(325\) | 2.10406 | + | 5.36106i | 0.116712 | + | 0.297378i | ||||
\(326\) | −0.0255260 | − | 0.340621i | −0.00141376 | − | 0.0188653i | ||||
\(327\) | 19.0545 | − | 17.6800i | 1.05372 | − | 0.977708i | ||||
\(328\) | 0.763459 | + | 3.34493i | 0.0421550 | + | 0.184693i | ||||
\(329\) | 4.45389 | + | 0.671316i | 0.245551 | + | 0.0370108i | ||||
\(330\) | 2.64724 | + | 1.80486i | 0.145726 | + | 0.0993542i | ||||
\(331\) | 1.90101 | − | 0.586383i | 0.104489 | − | 0.0322305i | −0.242070 | − | 0.970259i | \(-0.577826\pi\) |
0.346559 | + | 0.938028i | \(0.387350\pi\) | |||||||
\(332\) | 0.432884 | − | 5.77643i | 0.0237576 | − | 0.317023i | ||||
\(333\) | −0.163665 | − | 0.205229i | −0.00896879 | − | 0.0112465i | ||||
\(334\) | −23.8643 | − | 7.36118i | −1.30580 | − | 0.402786i | ||||
\(335\) | 0.390742 | − | 0.995595i | 0.0213485 | − | 0.0543952i | ||||
\(336\) | −0.363413 | + | 1.59222i | −0.0198258 | + | 0.0868626i | ||||
\(337\) | 13.6204 | + | 23.5912i | 0.741948 | + | 1.28509i | 0.951607 | + | 0.307318i | \(0.0994314\pi\) |
−0.209659 | + | 0.977775i | \(0.567235\pi\) | |||||||
\(338\) | 10.0840 | − | 17.4661i | 0.548499 | − | 0.950029i | ||||
\(339\) | −7.34726 | − | 6.81726i | −0.399049 | − | 0.370263i | ||||
\(340\) | −0.427200 | + | 0.535692i | −0.0231682 | + | 0.0290520i | ||||
\(341\) | 13.5794 | − | 9.25828i | 0.735366 | − | 0.501364i | ||||
\(342\) | 0.0541611 | − | 0.0260826i | 0.00292870 | − | 0.00141039i | ||||
\(343\) | −12.4557 | −0.672543 | ||||||||
\(344\) | 3.17627 | − | 5.73684i | 0.171253 | − | 0.309309i | ||||
\(345\) | 4.70460 | 0.253287 | ||||||||
\(346\) | −8.19745 | + | 3.94768i | −0.440698 | + | 0.212229i | ||||
\(347\) | 8.52156 | − | 5.80990i | 0.457461 | − | 0.311892i | −0.312574 | − | 0.949893i | \(-0.601191\pi\) |
0.770035 | + | 0.638002i | \(0.220239\pi\) | |||||||
\(348\) | 1.22892 | − | 1.54102i | 0.0658770 | − | 0.0826071i | ||||
\(349\) | −7.15098 | − | 6.63514i | −0.382783 | − | 0.355171i | 0.465189 | − | 0.885211i | \(-0.345986\pi\) |
−0.847972 | + | 0.530040i | \(0.822177\pi\) | |||||||
\(350\) | 0.475578 | − | 0.823725i | 0.0254207 | − | 0.0440299i | ||||
\(351\) | 15.0891 | + | 26.1352i | 0.805399 | + | 1.39499i | ||||
\(352\) | −0.415222 | + | 1.81921i | −0.0221314 | + | 0.0969640i | ||||
\(353\) | −7.11073 | + | 18.1178i | −0.378466 | + | 0.964316i | 0.607039 | + | 0.794672i | \(0.292357\pi\) |
−0.985505 | + | 0.169644i | \(0.945738\pi\) | |||||||
\(354\) | 10.5941 | + | 3.26786i | 0.563072 | + | 0.173685i | ||||
\(355\) | 1.40400 | + | 1.76056i | 0.0745165 | + | 0.0934408i | ||||
\(356\) | 0.658788 | − | 8.79091i | 0.0349157 | − | 0.465917i | ||||
\(357\) | −1.06929 | + | 0.329832i | −0.0565928 | + | 0.0174566i | ||||
\(358\) | −4.63055 | − | 3.15705i | −0.244732 | − | 0.166855i | ||||
\(359\) | −22.7069 | − | 3.42251i | −1.19842 | − | 0.180633i | −0.480651 | − | 0.876912i | \(-0.659600\pi\) |
−0.717771 | + | 0.696279i | \(0.754838\pi\) | |||||||
\(360\) | −0.0115266 | − | 0.0505015i | −0.000607507 | − | 0.00266166i | ||||
\(361\) | 12.9407 | − | 12.0072i | 0.681091 | − | 0.631960i | ||||
\(362\) | −0.893643 | − | 11.9248i | −0.0469688 | − | 0.626756i | ||||
\(363\) | −4.71611 | − | 12.0164i | −0.247531 | − | 0.630700i | ||||
\(364\) | −5.41669 | + | 0.816434i | −0.283912 | + | 0.0427928i | ||||
\(365\) | −0.0685101 | − | 0.0329927i | −0.00358598 | − | 0.00172692i | ||||
\(366\) | −1.05859 | − | 0.509790i | −0.0553334 | − | 0.0266471i | ||||
\(367\) | 3.88469 | − | 0.585523i | 0.202779 | − | 0.0305641i | −0.0468671 | − | 0.998901i | \(-0.514924\pi\) |
0.249646 | + | 0.968337i | \(0.419686\pi\) | |||||||
\(368\) | 1.00102 | + | 2.55056i | 0.0521818 | + | 0.132957i | ||||
\(369\) | −0.0132813 | − | 0.177227i | −0.000691399 | − | 0.00922608i | ||||
\(370\) | 3.71475 | − | 3.44679i | 0.193121 | − | 0.179190i | ||||
\(371\) | −0.703611 | − | 3.08272i | −0.0365297 | − | 0.160047i | ||||
\(372\) | 14.9543 | + | 2.25400i | 0.775344 | + | 0.116864i | ||||
\(373\) | 23.4199 | + | 15.9674i | 1.21263 | + | 0.826760i | 0.989000 | − | 0.147913i | \(-0.0472556\pi\) |
0.223634 | + | 0.974673i | \(0.428208\pi\) | |||||||
\(374\) | −1.22173 | + | 0.376854i | −0.0631741 | + | 0.0194866i | ||||
\(375\) | 0.128314 | − | 1.71223i | 0.00662611 | − | 0.0884192i | ||||
\(376\) | 2.95254 | + | 3.70236i | 0.152265 | + | 0.190935i | ||||
\(377\) | 6.31741 | + | 1.94866i | 0.325363 | + | 0.100361i | ||||
\(378\) | 1.82089 | − | 4.63956i | 0.0936567 | − | 0.238633i | ||||
\(379\) | 1.72157 | − | 7.54267i | 0.0884309 | − | 0.387441i | −0.911272 | − | 0.411804i | \(-0.864899\pi\) |
0.999703 | + | 0.0243633i | \(0.00775583\pi\) | |||||||
\(380\) | 0.580251 | + | 1.00502i | 0.0297663 | + | 0.0515567i | ||||
\(381\) | −18.5798 | + | 32.1811i | −0.951871 | + | 1.64869i | ||||
\(382\) | −10.5133 | − | 9.75490i | −0.537906 | − | 0.499104i | ||||
\(383\) | 4.67035 | − | 5.85643i | 0.238644 | − | 0.299250i | −0.648059 | − | 0.761590i | \(-0.724419\pi\) |
0.886702 | + | 0.462341i | \(0.152990\pi\) | |||||||
\(384\) | −1.41868 | + | 0.967239i | −0.0723966 | + | 0.0493592i | ||||
\(385\) | 1.59908 | − | 0.770078i | 0.0814968 | − | 0.0392468i | ||||
\(386\) | 4.94146 | 0.251514 | ||||||||
\(387\) | −0.206985 | + | 0.269328i | −0.0105216 | + | 0.0136907i | ||||
\(388\) | 10.2617 | 0.520958 | ||||||||
\(389\) | −31.2920 | + | 15.0695i | −1.58657 | + | 0.764052i | −0.998982 | − | 0.0451087i | \(-0.985637\pi\) |
−0.587588 | + | 0.809160i | \(0.699922\pi\) | |||||||
\(390\) | −8.17042 | + | 5.57050i | −0.413725 | + | 0.282073i | ||||
\(391\) | −1.17051 | + | 1.46777i | −0.0591953 | + | 0.0742285i | ||||
\(392\) | −4.46817 | − | 4.14586i | −0.225677 | − | 0.209397i | ||||
\(393\) | −6.44836 | + | 11.1689i | −0.325277 | + | 0.563396i | ||||
\(394\) | 11.0713 | + | 19.1760i | 0.557763 | + | 0.966074i | ||||
\(395\) | −2.63900 | + | 11.5622i | −0.132783 | + | 0.581758i | ||||
\(396\) | 0.0353134 | − | 0.0899771i | 0.00177456 | − | 0.00452152i | ||||
\(397\) | −0.568972 | − | 0.175505i | −0.0285559 | − | 0.00880832i | 0.280444 | − | 0.959870i | \(-0.409518\pi\) |
−0.309000 | + | 0.951062i | \(0.599994\pi\) | |||||||
\(398\) | −9.63412 | − | 12.0808i | −0.482915 | − | 0.605556i | ||||
\(399\) | −0.141635 | + | 1.88999i | −0.00709063 | + | 0.0946179i | ||||
\(400\) | 0.955573 | − | 0.294755i | 0.0477786 | − | 0.0147378i | ||||
\(401\) | −13.4819 | − | 9.19177i | −0.673252 | − | 0.459015i | 0.177821 | − | 0.984063i | \(-0.443095\pi\) |
−0.851073 | + | 0.525048i | \(0.824048\pi\) | |||||||
\(402\) | 1.81590 | + | 0.273703i | 0.0905689 | + | 0.0136511i | ||||
\(403\) | 11.2875 | + | 49.4536i | 0.562269 | + | 2.46346i | ||||
\(404\) | −10.6145 | + | 9.84878i | −0.528089 | + | 0.489995i | ||||
\(405\) | −0.660757 | − | 8.81719i | −0.0328333 | − | 0.438130i | ||||
\(406\) | −0.398901 | − | 1.01638i | −0.0197971 | − | 0.0504423i | ||||
\(407\) | 9.35032 | − | 1.40933i | 0.463478 | − | 0.0698581i | ||||
\(408\) | −1.05996 | − | 0.510450i | −0.0524759 | − | 0.0252711i | ||||
\(409\) | 17.1360 | + | 8.25226i | 0.847321 | + | 0.408048i | 0.806582 | − | 0.591122i | \(-0.201315\pi\) |
0.0407384 | + | 0.999170i | \(0.487029\pi\) | |||||||
\(410\) | 3.39263 | − | 0.511357i | 0.167550 | − | 0.0252541i | ||||
\(411\) | 10.5418 | + | 26.8600i | 0.519987 | + | 1.32490i | ||||
\(412\) | 0.539221 | + | 7.19540i | 0.0265655 | + | 0.354492i | ||||
\(413\) | 4.50204 | − | 4.17728i | 0.221531 | − | 0.205551i | ||||
\(414\) | −0.0315825 | − | 0.138372i | −0.00155220 | − | 0.00680061i | ||||
\(415\) | −5.72793 | − | 0.863346i | −0.281173 | − | 0.0423800i | ||||
\(416\) | −4.75845 | − | 3.24426i | −0.233302 | − | 0.159063i | ||||
\(417\) | 0.0859119 | − | 0.0265003i | 0.00420713 | − | 0.00129773i | ||||
\(418\) | −0.161827 | + | 2.15943i | −0.00791522 | + | 0.105621i | ||||
\(419\) | 5.08311 | + | 6.37402i | 0.248326 | + | 0.311391i | 0.890335 | − | 0.455306i | \(-0.150470\pi\) |
−0.642009 | + | 0.766697i | \(0.721899\pi\) | |||||||
\(420\) | 1.56061 | + | 0.481384i | 0.0761499 | + | 0.0234891i | ||||
\(421\) | −1.93764 | + | 4.93702i | −0.0944347 | + | 0.240616i | −0.970284 | − | 0.241969i | \(-0.922207\pi\) |
0.875849 | + | 0.482585i | \(0.160302\pi\) | |||||||
\(422\) | −0.624801 | + | 2.73743i | −0.0304148 | + | 0.133256i | ||||
\(423\) | −0.122650 | − | 0.212436i | −0.00596344 | − | 0.0103290i | ||||
\(424\) | 1.66219 | − | 2.87899i | 0.0807230 | − | 0.139816i | ||||
\(425\) | 0.502269 | + | 0.466038i | 0.0243636 | + | 0.0226061i | ||||
\(426\) | −2.41071 | + | 3.02294i | −0.116799 | + | 0.146462i | ||||
\(427\) | −0.537770 | + | 0.366645i | −0.0260245 | + | 0.0177432i | ||||
\(428\) | −10.0740 | + | 4.85139i | −0.486946 | + | 0.234501i | ||||
\(429\) | −18.4522 | −0.890881 | ||||||||
\(430\) | −5.48343 | − | 3.59611i | −0.264435 | − | 0.173420i | ||||
\(431\) | −6.28866 | −0.302914 | −0.151457 | − | 0.988464i | \(-0.548396\pi\) | ||||
−0.151457 | + | 0.988464i | \(0.548396\pi\) | |||||||
\(432\) | 4.72111 | − | 2.27357i | 0.227145 | − | 0.109387i | ||||
\(433\) | 1.91773 | − | 1.30748i | 0.0921600 | − | 0.0628336i | −0.516363 | − | 0.856370i | \(-0.672715\pi\) |
0.608523 | + | 0.793536i | \(0.291762\pi\) | |||||||
\(434\) | 5.22332 | − | 6.54983i | 0.250727 | − | 0.314402i | ||||
\(435\) | −1.44487 | − | 1.34064i | −0.0692762 | − | 0.0642789i | ||||
\(436\) | 7.56929 | − | 13.1104i | 0.362503 | − | 0.627874i | ||||
\(437\) | 1.58986 | + | 2.75373i | 0.0760535 | + | 0.131729i | ||||
\(438\) | 0.0290532 | − | 0.127290i | 0.00138822 | − | 0.00608217i | ||||
\(439\) | −12.4797 | + | 31.7978i | −0.595625 | + | 1.51763i | 0.241379 | + | 0.970431i | \(0.422400\pi\) |
−0.837004 | + | 0.547197i | \(0.815695\pi\) | |||||||
\(440\) | 1.78309 | + | 0.550010i | 0.0850055 | + | 0.0262207i | ||||
\(441\) | 0.196859 | + | 0.246854i | 0.00937426 | + | 0.0117549i | ||||
\(442\) | 0.294888 | − | 3.93501i | 0.0140264 | − | 0.187169i | ||||
\(443\) | −3.31126 | + | 1.02139i | −0.157323 | + | 0.0485277i | −0.372416 | − | 0.928066i | \(-0.621471\pi\) |
0.215093 | + | 0.976593i | \(0.430994\pi\) | |||||||
\(444\) | 7.18918 | + | 4.90150i | 0.341183 | + | 0.232615i | ||||
\(445\) | −8.71710 | − | 1.31389i | −0.413230 | − | 0.0622844i | ||||
\(446\) | 1.42435 | + | 6.24046i | 0.0674447 | + | 0.295495i | ||||
\(447\) | 4.28009 | − | 3.97134i | 0.202441 | − | 0.187838i | ||||
\(448\) | 0.0710799 | + | 0.948496i | 0.00335821 | + | 0.0448122i | ||||
\(449\) | 1.57742 | + | 4.01920i | 0.0744430 | + | 0.189678i | 0.963251 | − | 0.268601i | \(-0.0865614\pi\) |
−0.888808 | + | 0.458279i | \(0.848466\pi\) | |||||||
\(450\) | −0.0512216 | + | 0.00772042i | −0.00241461 | + | 0.000363944i | ||||
\(451\) | 5.76812 | + | 2.77778i | 0.271610 | + | 0.130801i | ||||
\(452\) | −5.25923 | − | 2.53271i | −0.247373 | − | 0.119129i | ||||
\(453\) | 9.63567 | − | 1.45234i | 0.452723 | − | 0.0682371i | ||||
\(454\) | −10.7713 | − | 27.4449i | −0.505524 | − | 1.28805i | ||||
\(455\) | 0.409362 | + | 5.46255i | 0.0191912 | + | 0.256088i | ||||
\(456\) | −1.46069 | + | 1.35533i | −0.0684032 | + | 0.0634689i | ||||
\(457\) | −1.06662 | − | 4.67319i | −0.0498946 | − | 0.218602i | 0.943834 | − | 0.330419i | \(-0.107190\pi\) |
−0.993729 | + | 0.111817i | \(0.964333\pi\) | |||||||
\(458\) | −10.7626 | − | 1.62220i | −0.502903 | − | 0.0758004i | ||||
\(459\) | 2.96648 | + | 2.02251i | 0.138464 | + | 0.0944028i | ||||
\(460\) | 2.61823 | − | 0.807617i | 0.122076 | − | 0.0376554i | ||||
\(461\) | −0.0491672 | + | 0.656091i | −0.00228995 | + | 0.0305572i | −0.998232 | − | 0.0594427i | \(-0.981068\pi\) |
0.995942 | + | 0.0899999i | \(0.0286867\pi\) | |||||||
\(462\) | 1.90007 | + | 2.38261i | 0.0883991 | + | 0.110849i | ||||
\(463\) | 10.1220 | + | 3.12224i | 0.470411 | + | 0.145103i | 0.520892 | − | 0.853622i | \(-0.325599\pi\) |
−0.0504812 | + | 0.998725i | \(0.516076\pi\) | |||||||
\(464\) | 0.419386 | − | 1.06858i | 0.0194695 | − | 0.0496075i | ||||
\(465\) | 3.36523 | − | 14.7440i | 0.156059 | − | 0.683738i | ||||
\(466\) | −12.2356 | − | 21.1926i | −0.566802 | − | 0.981730i | ||||
\(467\) | −14.2052 | + | 24.6041i | −0.657337 | + | 1.13854i | 0.323965 | + | 0.946069i | \(0.394984\pi\) |
−0.981302 | + | 0.192473i | \(0.938349\pi\) | |||||||
\(468\) | 0.218689 | + | 0.202913i | 0.0101089 | + | 0.00937968i | ||||
\(469\) | 0.634268 | − | 0.795347i | 0.0292878 | − | 0.0367257i | ||||
\(470\) | 3.91265 | − | 2.66760i | 0.180477 | − | 0.123047i | ||||
\(471\) | −12.8811 | + | 6.20319i | −0.593527 | + | 0.285828i | ||||
\(472\) | 6.45688 | 0.297202 | ||||||||
\(473\) | −4.67405 | − | 11.3082i | −0.214913 | − | 0.519953i | ||||
\(474\) | −20.3633 | −0.935315 | ||||||||
\(475\) | 1.04558 | − | 0.503523i | 0.0479743 | − | 0.0231032i | ||||
\(476\) | −0.538467 | + | 0.367120i | −0.0246806 | + | 0.0168269i | ||||
\(477\) | −0.107367 | + | 0.134634i | −0.00491600 | + | 0.00616447i | ||||
\(478\) | 14.2011 | + | 13.1767i | 0.649542 | + | 0.602687i | ||||
\(479\) | −7.41430 | + | 12.8419i | −0.338768 | + | 0.586763i | −0.984201 | − | 0.177053i | \(-0.943344\pi\) |
0.645433 | + | 0.763817i | \(0.276677\pi\) | |||||||
\(480\) | 0.858516 | + | 1.48699i | 0.0391857 | + | 0.0678717i | ||||
\(481\) | −6.49421 | + | 28.4530i | −0.296110 | + | 1.29734i | ||||
\(482\) | 10.5089 | − | 26.7761i | 0.478665 | − | 1.21962i | ||||
\(483\) | 4.27600 | + | 1.31897i | 0.194565 | + | 0.0600153i | ||||
\(484\) | −4.68745 | − | 5.87787i | −0.213066 | − | 0.267176i | ||||
\(485\) | 0.766856 | − | 10.2330i | 0.0348211 | − | 0.464656i | ||||
\(486\) | −0.514349 | + | 0.158656i | −0.0233314 | + | 0.00719677i | ||||
\(487\) | 30.5948 | + | 20.8592i | 1.38638 | + | 0.945221i | 0.999736 | + | 0.0229939i | \(0.00731982\pi\) |
0.386649 | + | 0.922227i | \(0.373633\pi\) | |||||||
\(488\) | −0.676646 | − | 0.101988i | −0.0306303 | − | 0.00461678i | ||||
\(489\) | −0.130508 | − | 0.571793i | −0.00590177 | − | 0.0258574i | ||||
\(490\) | −4.46817 | + | 4.14586i | −0.201851 | + | 0.187291i | ||||
\(491\) | −0.388359 | − | 5.18229i | −0.0175264 | − | 0.233874i | −0.999087 | − | 0.0427223i | \(-0.986397\pi\) |
0.981561 | − | 0.191151i | \(-0.0612221\pi\) | |||||||
\(492\) | 2.15225 | + | 5.48383i | 0.0970308 | + | 0.247230i | ||||
\(493\) | 0.777748 | − | 0.117227i | 0.0350280 | − | 0.00527962i | ||||
\(494\) | −6.02165 | − | 2.89988i | −0.270927 | − | 0.130472i | ||||
\(495\) | −0.0870865 | − | 0.0419386i | −0.00391425 | − | 0.00188500i | ||||
\(496\) | 8.70939 | − | 1.31273i | 0.391063 | − | 0.0589433i | ||||
\(497\) | 0.782506 | + | 1.99379i | 0.0351002 | + | 0.0894338i | ||||
\(498\) | −0.743275 | − | 9.91832i | −0.0333070 | − | 0.444450i | ||||
\(499\) | −17.1909 | + | 15.9508i | −0.769569 | + | 0.714055i | −0.963720 | − | 0.266916i | \(-0.913995\pi\) |
0.194151 | + | 0.980972i | \(0.437805\pi\) | |||||||
\(500\) | −0.222521 | − | 0.974928i | −0.00995144 | − | 0.0436001i | ||||
\(501\) | −42.4020 | − | 6.39107i | −1.89438 | − | 0.285532i | ||||
\(502\) | 4.72931 | + | 3.22439i | 0.211079 | + | 0.143911i | ||||
\(503\) | 27.9889 | − | 8.63344i | 1.24796 | − | 0.384946i | 0.400745 | − | 0.916190i | \(-0.368751\pi\) |
0.847219 | + | 0.531244i | \(0.178275\pi\) | |||||||
\(504\) | 0.00368196 | − | 0.0491323i | 0.000164007 | − | 0.00218853i | ||||
\(505\) | 9.02802 | + | 11.3208i | 0.401742 | + | 0.503768i | ||||
\(506\) | 4.88560 | + | 1.50701i | 0.217191 | + | 0.0669946i | ||||
\(507\) | 12.6515 | − | 32.2354i | 0.561872 | − | 1.43163i | ||||
\(508\) | −4.81574 | + | 21.0991i | −0.213664 | + | 0.936123i | ||||
\(509\) | 14.5867 | + | 25.2648i | 0.646543 | + | 1.11984i | 0.983943 | + | 0.178483i | \(0.0571191\pi\) |
−0.337400 | + | 0.941361i | \(0.609548\pi\) | |||||||
\(510\) | −0.588234 | + | 1.01885i | −0.0260474 | + | 0.0451155i | ||||
\(511\) | −0.0530190 | − | 0.0491944i | −0.00234542 | − | 0.00217623i | ||||
\(512\) | −0.623490 | + | 0.781831i | −0.0275546 | + | 0.0345524i | ||||
\(513\) | 5.02442 | − | 3.42559i | 0.221834 | − | 0.151244i | ||||
\(514\) | 4.26765 | − | 2.05519i | 0.188238 | − | 0.0906507i | ||||
\(515\) | 7.21558 | 0.317956 | ||||||||
\(516\) | 3.92474 | − | 10.5532i | 0.172777 | − | 0.464577i | ||||
\(517\) | 8.83640 | 0.388624 | ||||||||
\(518\) | 4.34267 | − | 2.09132i | 0.190806 | − | 0.0918872i | ||||
\(519\) | −12.9078 | + | 8.80041i | −0.566591 | + | 0.386295i | ||||
\(520\) | −3.59079 | + | 4.50270i | −0.157466 | + | 0.197457i | ||||
\(521\) | −14.0476 | − | 13.0343i | −0.615436 | − | 0.571041i | 0.309625 | − | 0.950859i | \(-0.399796\pi\) |
−0.925061 | + | 0.379817i | \(0.875987\pi\) | |||||||
\(522\) | −0.0297315 | + | 0.0514965i | −0.00130131 | + | 0.00225394i | ||||
\(523\) | 6.57373 | + | 11.3860i | 0.287449 | + | 0.497877i | 0.973200 | − | 0.229959i | \(-0.0738594\pi\) |
−0.685751 | + | 0.727836i | \(0.740526\pi\) | |||||||
\(524\) | −1.67137 | + | 7.32274i | −0.0730140 | + | 0.319895i | ||||
\(525\) | 0.596662 | − | 1.52027i | 0.0260405 | − | 0.0663500i | ||||
\(526\) | −14.3013 | − | 4.41136i | −0.623566 | − | 0.192345i | ||||
\(527\) | 3.76267 | + | 4.71824i | 0.163905 | + | 0.205530i | ||||
\(528\) | −0.239433 | + | 3.19501i | −0.0104200 | + | 0.139045i | ||||
\(529\) | −14.8043 | + | 4.56653i | −0.643666 | + | 0.198545i | ||||
\(530\) | −2.74673 | − | 1.87269i | −0.119310 | − | 0.0813444i | ||||
\(531\) | −0.330732 | − | 0.0498499i | −0.0143526 | − | 0.00216330i | ||||
\(532\) | 0.245623 | + | 1.07614i | 0.0106491 | + | 0.0466567i | ||||
\(533\) | −14.4847 | + | 13.4399i | −0.627403 | + | 0.582145i | ||||
\(534\) | −1.13116 | − | 15.0943i | −0.0489501 | − | 0.653193i | ||||
\(535\) | 4.08499 | + | 10.4084i | 0.176610 | + | 0.449994i | ||||
\(536\) | 1.05758 | − | 0.159405i | 0.0456806 | − | 0.00688524i | ||||
\(537\) | −8.66992 | − | 4.17521i | −0.374135 | − | 0.180174i | ||||
\(538\) | −28.4889 | − | 13.7195i | −1.22824 | − | 0.591491i | ||||
\(539\) | −11.2467 | + | 1.69517i | −0.484432 | + | 0.0730163i | ||||
\(540\) | −1.91440 | − | 4.87782i | −0.0823827 | − | 0.209908i | ||||
\(541\) | −2.53551 | − | 33.8340i | −0.109010 | − | 1.45464i | −0.736723 | − | 0.676194i | \(-0.763628\pi\) |
0.627713 | − | 0.778445i | \(-0.283991\pi\) | |||||||
\(542\) | 2.45367 | − | 2.27667i | 0.105394 | − | 0.0977915i | ||||
\(543\) | −4.56897 | − | 20.0179i | −0.196073 | − | 0.859052i | ||||
\(544\) | −0.677522 | − | 0.102120i | −0.0290485 | − | 0.00437836i | ||||
\(545\) | −12.5081 | − | 8.52787i | −0.535788 | − | 0.365294i | ||||
\(546\) | −8.98781 | + | 2.77237i | −0.384643 | + | 0.118647i | ||||
\(547\) | −0.203680 | + | 2.71792i | −0.00870872 | + | 0.116210i | −0.999864 | − | 0.0164982i | \(-0.994748\pi\) |
0.991155 | + | 0.132708i | \(0.0423673\pi\) | |||||||
\(548\) | 10.4777 | + | 13.1386i | 0.447585 | + | 0.561254i | ||||
\(549\) | 0.0338715 | + | 0.0104480i | 0.00144560 | + | 0.000445909i | ||||
\(550\) | 0.681723 | − | 1.73700i | 0.0290688 | − | 0.0740660i | ||||
\(551\) | 0.296437 | − | 1.29877i | 0.0126286 | − | 0.0553297i | ||||
\(552\) | 2.35230 | + | 4.07430i | 0.100121 | + | 0.173414i | ||||
\(553\) | −5.64015 | + | 9.76902i | −0.239843 | + | 0.415421i | ||||
\(554\) | 13.0399 | + | 12.0992i | 0.554012 | + | 0.514048i | ||||
\(555\) | 5.42504 | − | 6.80278i | 0.230280 | − | 0.288762i | ||||
\(556\) | 0.0432630 | − | 0.0294962i | 0.00183476 | − | 0.00125092i | ||||
\(557\) | 20.1739 | − | 9.71524i | 0.854796 | − | 0.411648i | 0.0454404 | − | 0.998967i | \(-0.485531\pi\) |
0.809356 | + | 0.587319i | \(0.199817\pi\) | |||||||
\(558\) | −0.456244 | −0.0193143 | ||||||||
\(559\) | 37.7593 | − | 0.677757i | 1.59705 | − | 0.0286661i | ||||
\(560\) | 0.951156 | 0.0401937 | ||||||||
\(561\) | −1.97788 | + | 0.952496i | −0.0835061 | + | 0.0402144i | ||||
\(562\) | 17.3636 | − | 11.8383i | 0.732438 | − | 0.499368i | ||||
\(563\) | 7.16903 | − | 8.98968i | 0.302139 | − | 0.378870i | −0.607465 | − | 0.794346i | \(-0.707814\pi\) |
0.909604 | + | 0.415476i | \(0.136385\pi\) | |||||||
\(564\) | 5.96045 | + | 5.53049i | 0.250980 | + | 0.232876i | ||||
\(565\) | −2.91865 | + | 5.05526i | −0.122789 | + | 0.212676i | ||||
\(566\) | 6.80707 | + | 11.7902i | 0.286123 | + | 0.495579i | ||||
\(567\) | 1.87141 | − | 8.19918i | 0.0785918 | − | 0.344333i | ||||
\(568\) | −0.822689 | + | 2.09618i | −0.0345193 | + | 0.0879537i | ||||
\(569\) | 5.32019 | + | 1.64106i | 0.223034 | + | 0.0687968i | 0.404258 | − | 0.914645i | \(-0.367530\pi\) |
−0.181224 | + | 0.983442i | \(0.558006\pi\) | |||||||
\(570\) | 1.24238 | + | 1.55789i | 0.0520375 | + | 0.0652529i | ||||
\(571\) | 1.59769 | − | 21.3197i | 0.0668613 | − | 0.892202i | −0.858426 | − | 0.512937i | \(-0.828558\pi\) |
0.925288 | − | 0.379266i | \(-0.123823\pi\) | |||||||
\(572\) | −10.2691 | + | 3.16761i | −0.429374 | + | 0.132444i | ||||
\(573\) | −20.3464 | − | 13.8719i | −0.849983 | − | 0.579509i | ||||
\(574\) | 3.22692 | + | 0.486380i | 0.134689 | + | 0.0203011i | ||||
\(575\) | −0.609698 | − | 2.67126i | −0.0254262 | − | 0.111399i | ||||
\(576\) | 0.0379722 | − | 0.0352331i | 0.00158218 | − | 0.00146805i | ||||
\(577\) | −2.68266 | − | 35.7977i | −0.111681 | − | 1.49028i | −0.718551 | − | 0.695475i | \(-0.755194\pi\) |
0.606870 | − | 0.794801i | \(-0.292425\pi\) | |||||||
\(578\) | 6.03928 | + | 15.3878i | 0.251201 | + | 0.640050i | ||||
\(579\) | 8.38988 | − | 1.26457i | 0.348672 | − | 0.0525538i | ||||
\(580\) | −1.03425 | − | 0.498068i | −0.0429449 | − | 0.0206812i | ||||
\(581\) | −4.96406 | − | 2.39057i | −0.205944 | − | 0.0991774i | ||||
\(582\) | 17.4228 | − | 2.62607i | 0.722200 | − | 0.108854i | ||||
\(583\) | −2.26630 | − | 5.77445i | −0.0938607 | − | 0.239153i | ||||
\(584\) | −0.00568251 | − | 0.0758279i | −0.000235144 | − | 0.00313778i | ||||
\(585\) | 0.218689 | − | 0.202913i | 0.00904167 | − | 0.00838944i | ||||
\(586\) | 2.91442 | + | 12.7689i | 0.120394 | + | 0.527479i | ||||
\(587\) | 0.936662 | + | 0.141179i | 0.0386602 | + | 0.00582709i | 0.168344 | − | 0.985728i | \(-0.446158\pi\) |
−0.129684 | + | 0.991555i | \(0.541396\pi\) | |||||||
\(588\) | −8.64728 | − | 5.89561i | −0.356608 | − | 0.243131i | ||||
\(589\) | 9.76732 | − | 3.01282i | 0.402455 | − | 0.124141i | ||||
\(590\) | 0.482524 | − | 6.43883i | 0.0198652 | − | 0.265082i | ||||
\(591\) | 23.7048 | + | 29.7248i | 0.975084 | + | 1.22272i | ||||
\(592\) | 4.84238 | + | 1.49368i | 0.199021 | + | 0.0613897i | ||||
\(593\) | 12.2094 | − | 31.1089i | 0.501378 | − | 1.27749i | −0.426460 | − | 0.904507i | \(-0.640239\pi\) |
0.927838 | − | 0.372984i | \(-0.121665\pi\) | |||||||
\(594\) | 2.17578 | − | 9.53271i | 0.0892733 | − | 0.391132i | ||||
\(595\) | 0.325854 | + | 0.564396i | 0.0133587 | + | 0.0231380i | ||||
\(596\) | 1.70024 | − | 2.94490i | 0.0696444 | − | 0.120628i | ||||
\(597\) | −19.4489 | − | 18.0460i | −0.795992 | − | 0.738572i | ||||
\(598\) | −9.83861 | + | 12.3372i | −0.402331 | + | 0.504507i | ||||
\(599\) | 27.9324 | − | 19.0440i | 1.14129 | − | 0.778116i | 0.163258 | − | 0.986583i | \(-0.447800\pi\) |
0.978029 | + | 0.208467i | \(0.0668474\pi\) | |||||||
\(600\) | 1.54699 | − | 0.744992i | 0.0631557 | − | 0.0304142i | ||||
\(601\) | −33.6312 | −1.37185 | −0.685923 | − | 0.727674i | \(-0.740601\pi\) | ||||
−0.685923 | + | 0.727674i | \(0.740601\pi\) | |||||||
\(602\) | −3.97568 | − | 4.80582i | −0.162037 | − | 0.195871i | ||||
\(603\) | −0.0554017 | −0.00225613 | ||||||||
\(604\) | 5.11318 | − | 2.46238i | 0.208052 | − | 0.100193i | ||||
\(605\) | −6.21173 | + | 4.23508i | −0.252543 | + | 0.172181i | ||||
\(606\) | −15.5014 | + | 19.4381i | −0.629701 | + | 0.789620i | ||||
\(607\) | −34.9659 | − | 32.4436i | −1.41922 | − | 1.31685i | −0.880239 | − | 0.474531i | \(-0.842618\pi\) |
−0.538984 | − | 0.842316i | \(-0.681192\pi\) | |||||||
\(608\) | −0.580251 | + | 1.00502i | −0.0235323 | + | 0.0407591i | ||||
\(609\) | −0.937379 | − | 1.62359i | −0.0379845 | − | 0.0657911i | ||||
\(610\) | −0.152269 | + | 0.667132i | −0.00616517 | + | 0.0270114i | ||||
\(611\) | −9.96379 | + | 25.3873i | −0.403092 | + | 1.02706i | ||||
\(612\) | 0.0339154 | + | 0.0104615i | 0.00137095 | + | 0.000422882i | ||||
\(613\) | −7.77876 | − | 9.75426i | −0.314181 | − | 0.393971i | 0.599518 | − | 0.800361i | \(-0.295359\pi\) |
−0.913700 | + | 0.406390i | \(0.866787\pi\) | |||||||
\(614\) | 1.14878 | − | 15.3294i | 0.0463609 | − | 0.618643i | ||||
\(615\) | 5.62934 | − | 1.73642i | 0.226997 | − | 0.0700192i | ||||
\(616\) | 1.46645 | + | 0.999807i | 0.0590849 | + | 0.0402834i | ||||
\(617\) | 9.48471 | + | 1.42959i | 0.381840 | + | 0.0575531i | 0.337158 | − | 0.941448i | \(-0.390534\pi\) |
0.0446822 | + | 0.999001i | \(0.485772\pi\) | |||||||
\(618\) | 2.75690 | + | 12.0788i | 0.110899 | + | 0.485879i | ||||
\(619\) | 9.21271 | − | 8.54814i | 0.370290 | − | 0.343579i | −0.472976 | − | 0.881075i | \(-0.656820\pi\) |
0.843266 | + | 0.537496i | \(0.180630\pi\) | |||||||
\(620\) | −0.658205 | − | 8.78313i | −0.0264341 | − | 0.352739i | ||||
\(621\) | −5.24538 | − | 13.3650i | −0.210490 | − | 0.536320i | ||||
\(622\) | −9.05005 | + | 1.36408i | −0.362874 | + | 0.0546944i | ||||
\(623\) | −7.55460 | − | 3.63810i | −0.302669 | − | 0.145757i | ||||
\(624\) | −8.90940 | − | 4.29054i | −0.356661 | − | 0.171759i | ||||
\(625\) | −0.988831 | + | 0.149042i | −0.0395532 | + | 0.00596169i | ||||
\(626\) | 1.45986 | + | 3.71966i | 0.0583477 | + | 0.148668i | ||||
\(627\) | 0.277862 | + | 3.70781i | 0.0110967 | + | 0.148076i | ||||
\(628\) | −6.10376 | + | 5.66347i | −0.243567 | + | 0.225997i | ||||
\(629\) | 0.772623 | + | 3.38508i | 0.0308065 | + | 0.134972i | ||||
\(630\) | −0.0487198 | − | 0.00734332i | −0.00194104 | − | 0.000292565i | ||||
\(631\) | 21.3038 | + | 14.5247i | 0.848091 | + | 0.578219i | 0.907518 | − | 0.420014i | \(-0.137975\pi\) |
−0.0594265 | + | 0.998233i | \(0.518927\pi\) | |||||||
\(632\) | −11.3327 | + | 3.49567i | −0.450790 | + | 0.139050i | ||||
\(633\) | −0.360284 | + | 4.80765i | −0.0143200 | + | 0.191087i | ||||
\(634\) | 13.2502 | + | 16.6152i | 0.526231 | + | 0.659873i | ||||
\(635\) | 20.6803 | + | 6.37901i | 0.820671 | + | 0.253143i | ||||
\(636\) | 2.08539 | − | 5.31348i | 0.0826910 | − | 0.210693i | ||||
\(637\) | 7.81135 | − | 34.2238i | 0.309497 | − | 1.35600i | ||||
\(638\) | −1.07101 | − | 1.85505i | −0.0424018 | − | 0.0734421i | ||||
\(639\) | 0.0583229 | − | 0.101018i | 0.00230722 | − | 0.00399622i | ||||
\(640\) | 0.733052 | + | 0.680173i | 0.0289764 | + | 0.0268862i | ||||
\(641\) | −0.962431 | + | 1.20685i | −0.0380138 | + | 0.0476677i | −0.800475 | − | 0.599366i | \(-0.795419\pi\) |
0.762461 | + | 0.647034i | \(0.223991\pi\) | |||||||
\(642\) | −15.8627 | + | 10.8150i | −0.626051 | + | 0.426834i | ||||
\(643\) | −40.2496 | + | 19.3832i | −1.58729 | + | 0.764398i | −0.999020 | − | 0.0442670i | \(-0.985905\pi\) |
−0.588269 | + | 0.808665i | \(0.700190\pi\) | |||||||
\(644\) | 2.60613 | 0.102696 | ||||||||
\(645\) | −10.2303 | − | 4.70240i | −0.402820 | − | 0.185157i | ||||
\(646\) | −0.795147 | −0.0312847 | ||||||||
\(647\) | 25.2400 | − | 12.1550i | 0.992288 | − | 0.477861i | 0.133974 | − | 0.990985i | \(-0.457226\pi\) |
0.858314 | + | 0.513124i | \(0.171512\pi\) | |||||||
\(648\) | 7.30553 | − | 4.98083i | 0.286988 | − | 0.195665i | ||||
\(649\) | 7.51211 | − | 9.41989i | 0.294876 | − | 0.369763i | ||||
\(650\) | 4.22177 | + | 3.91723i | 0.165592 | + | 0.153647i | ||||
\(651\) | 7.19226 | − | 12.4574i | 0.281887 | − | 0.488243i | ||||
\(652\) | −0.170788 | − | 0.295814i | −0.00668858 | − | 0.0115850i | ||||
\(653\) | 4.51862 | − | 19.7974i | 0.176827 | − | 0.774731i | −0.806255 | − | 0.591568i | \(-0.798509\pi\) |
0.983082 | − | 0.183163i | \(-0.0586337\pi\) | |||||||
\(654\) | 9.49647 | − | 24.1966i | 0.371341 | − | 0.946162i | ||||
\(655\) | 7.17736 | + | 2.21392i | 0.280443 | + | 0.0865051i | ||||
\(656\) | 2.13917 | + | 2.68243i | 0.0835204 | + | 0.104731i | ||||
\(657\) | −0.000294355 | 0.00392790i | −1.14839e−5 | 0.000153242i | ||||||
\(658\) | 4.30409 | − | 1.32764i | 0.167791 | − | 0.0517566i | ||||
\(659\) | 29.3071 | + | 19.9812i | 1.14164 | + | 0.778359i | 0.978091 | − | 0.208176i | \(-0.0667527\pi\) |
0.163551 | + | 0.986535i | \(0.447705\pi\) | |||||||
\(660\) | 3.16818 | + | 0.477526i | 0.123321 | + | 0.0185877i | ||||
\(661\) | −7.30331 | − | 31.9979i | −0.284066 | − | 1.24457i | −0.892529 | − | 0.450991i | \(-0.851071\pi\) |
0.608463 | − | 0.793582i | \(-0.291786\pi\) | |||||||
\(662\) | 1.45833 | − | 1.35313i | 0.0566794 | − | 0.0525908i | ||||
\(663\) | −0.506332 | − | 6.75654i | −0.0196643 | − | 0.262402i | ||||
\(664\) | −2.11628 | − | 5.39221i | −0.0821278 | − | 0.209258i | ||||
\(665\) | 1.09149 | − | 0.164516i | 0.0423261 | − | 0.00637964i | ||||
\(666\) | −0.236503 | − | 0.113894i | −0.00916430 | − | 0.00441329i | ||||
\(667\) | −2.83380 | − | 1.36469i | −0.109725 | − | 0.0528409i | ||||
\(668\) | −24.6949 | + | 3.72216i | −0.955475 | + | 0.144015i | ||||
\(669\) | 4.01533 | + | 10.2309i | 0.155242 | + | 0.395549i | ||||
\(670\) | −0.0799259 | − | 1.06654i | −0.00308781 | − | 0.0412039i | ||||
\(671\) | −0.936016 | + | 0.868496i | −0.0361345 | + | 0.0335279i | ||||
\(672\) | 0.363413 | + | 1.59222i | 0.0140190 | + | 0.0614211i | ||||
\(673\) | 3.43249 | + | 0.517365i | 0.132313 | + | 0.0199429i | 0.214865 | − | 0.976644i | \(-0.431069\pi\) |
−0.0825520 | + | 0.996587i | \(0.526307\pi\) | |||||||
\(674\) | 22.5073 | + | 15.3452i | 0.866950 | + | 0.591077i | ||||
\(675\) | −5.00724 | + | 1.54453i | −0.192729 | + | 0.0594489i | ||||
\(676\) | 1.50716 | − | 20.1117i | 0.0579678 | − | 0.773526i | ||||
\(677\) | 21.6973 | + | 27.2076i | 0.833895 | + | 1.04567i | 0.998242 | + | 0.0592691i | \(0.0188770\pi\) |
−0.164347 | + | 0.986403i | \(0.552552\pi\) | |||||||
\(678\) | −9.57756 | − | 2.95428i | −0.367824 | − | 0.113459i | ||||
\(679\) | 3.56589 | − | 9.08575i | 0.136846 | − | 0.348679i | ||||
\(680\) | −0.152466 | + | 0.667996i | −0.00584680 | + | 0.0256165i | ||||
\(681\) | −25.3116 | − | 43.8410i | −0.969943 | − | 1.67999i | ||||
\(682\) | 8.21760 | − | 14.2333i | 0.314668 | − | 0.545021i | ||||
\(683\) | 27.6689 | + | 25.6730i | 1.05872 | + | 0.982349i | 0.999873 | − | 0.0159176i | \(-0.00506695\pi\) |
0.0588475 | + | 0.998267i | \(0.481257\pi\) | |||||||
\(684\) | 0.0374806 | − | 0.0469992i | 0.00143311 | − | 0.00179706i | ||||
\(685\) | 13.8849 | − | 9.46654i | 0.530514 | − | 0.361698i | ||||
\(686\) | −11.2222 | + | 5.40431i | −0.428465 | + | 0.206338i | ||||
\(687\) | −18.6884 | −0.713009 | ||||||||
\(688\) | 0.372605 | − | 6.54684i | 0.0142054 | − | 0.249596i | ||||
\(689\) | 19.1457 | 0.729391 | ||||||||
\(690\) | 4.23870 | − | 2.04125i | 0.161364 | − | 0.0777090i | ||||
\(691\) | −36.8365 | + | 25.1147i | −1.40133 | + | 0.955409i | −0.402121 | + | 0.915586i | \(0.631727\pi\) |
−0.999207 | + | 0.0398227i | \(0.987321\pi\) | |||||||
\(692\) | −5.67281 | + | 7.11348i | −0.215648 | + | 0.270414i | ||||
\(693\) | −0.0673949 | − | 0.0625334i | −0.00256012 | − | 0.00237545i | ||||
\(694\) | 5.15684 | − | 8.93190i | 0.195751 | − | 0.339050i | ||||
\(695\) | −0.0261807 | − | 0.0453463i | −0.000993091 | − | 0.00172008i | ||||
\(696\) | 0.438596 | − | 1.92161i | 0.0166249 | − | 0.0728386i | ||||
\(697\) | −0.858846 | + | 2.18830i | −0.0325311 | + | 0.0828879i | ||||
\(698\) | −9.32169 | − | 2.87536i | −0.352831 | − | 0.108834i | ||||
\(699\) | −26.1976 | − | 32.8508i | −0.990886 | − | 1.24253i | ||||
\(700\) | 0.0710799 | − | 0.948496i | 0.00268657 | − | 0.0358498i | ||||
\(701\) | 22.8441 | − | 7.04648i | 0.862811 | − | 0.266142i | 0.168399 | − | 0.985719i | \(-0.446140\pi\) |
0.694413 | + | 0.719577i | \(0.255664\pi\) | |||||||
\(702\) | 24.9345 | + | 17.0000i | 0.941091 | + | 0.641625i | ||||
\(703\) | 5.81518 | + | 0.876497i | 0.219324 | + | 0.0330577i | ||||
\(704\) | 0.415222 | + | 1.81921i | 0.0156493 | + | 0.0685639i | ||||
\(705\) | 5.96045 | − | 5.53049i | 0.224483 | − | 0.208290i | ||||
\(706\) | 1.45449 | + | 19.4088i | 0.0547405 | + | 0.730461i | ||||
\(707\) | 5.03168 | + | 12.8205i | 0.189236 | + | 0.482165i | ||||
\(708\) | 10.9628 | − | 1.65238i | 0.412009 | − | 0.0621004i | ||||
\(709\) | −30.8664 | − | 14.8645i | −1.15921 | − | 0.558246i | −0.247422 | − | 0.968908i | \(-0.579584\pi\) |
−0.911788 | + | 0.410662i | \(0.865298\pi\) | |||||||
\(710\) | 2.02884 | + | 0.977037i | 0.0761409 | + | 0.0366675i | ||||
\(711\) | 0.607466 | − | 0.0915608i | 0.0227818 | − | 0.00343380i | ||||
\(712\) | −3.22069 | − | 8.20617i | −0.120700 | − | 0.307539i | ||||
\(713\) | −1.80345 | − | 24.0654i | −0.0675399 | − | 0.901257i | ||||
\(714\) | −0.820288 | + | 0.761116i | −0.0306985 | + | 0.0284841i | ||||
\(715\) | 2.39134 | + | 10.4771i | 0.0894309 | + | 0.391822i | ||||
\(716\) | −5.54177 | − | 0.835288i | −0.207106 | − | 0.0312162i | ||||
\(717\) | 27.4834 | + | 18.7379i | 1.02639 | + | 0.699779i | ||||
\(718\) | −21.9432 | + | 6.76857i | −0.818911 | + | 0.252601i | ||||
\(719\) | 0.446483 | − | 5.95790i | 0.0166510 | − | 0.222192i | −0.982670 | − | 0.185361i | \(-0.940655\pi\) |
0.999321 | − | 0.0368313i | \(-0.0117264\pi\) | |||||||
\(720\) | −0.0322969 | − | 0.0404990i | −0.00120363 | − | 0.00150931i | ||||
\(721\) | 6.55823 | + | 2.02294i | 0.244241 | + | 0.0753384i | ||||
\(722\) | 6.44945 | − | 16.4329i | 0.240024 | − | 0.611570i | ||||
\(723\) | 10.9902 | − | 48.1513i | 0.408731 | − | 1.79077i | ||||
\(724\) | −5.97914 | − | 10.3562i | −0.222213 | − | 0.384884i | ||||
\(725\) | −0.573965 | + | 0.994137i | −0.0213165 | + | 0.0369213i | ||||
\(726\) | −9.46281 | − | 8.78020i | −0.351198 | − | 0.325864i | ||||
\(727\) | 23.2814 | − | 29.1939i | 0.863459 | − | 1.08274i | −0.132342 | − | 0.991204i | \(-0.542250\pi\) |
0.995801 | − | 0.0915396i | \(-0.0291788\pi\) | |||||||
\(728\) | −4.52603 | + | 3.08579i | −0.167746 | + | 0.114367i | ||||
\(729\) | −24.7316 | + | 11.9101i | −0.915984 | + | 0.441115i | ||||
\(730\) | −0.0760405 | −0.00281439 | ||||||||
\(731\) | 4.01241 | − | 2.02177i | 0.148404 | − | 0.0747779i | ||||
\(732\) | −1.17495 | −0.0434272 | ||||||||
\(733\) | −8.69123 | + | 4.18548i | −0.321018 | + | 0.154594i | −0.587452 | − | 0.809259i | \(-0.699869\pi\) |
0.266434 | + | 0.963853i | \(0.414155\pi\) | |||||||
\(734\) | 3.24594 | − | 2.21304i | 0.119810 | − | 0.0816849i | ||||
\(735\) | −6.52534 | + | 8.18252i | −0.240691 | + | 0.301817i | ||||
\(736\) | 2.00853 | + | 1.86365i | 0.0740355 | + | 0.0686949i | ||||
\(737\) | 0.997864 | − | 1.72835i | 0.0367568 | − | 0.0636646i | ||||
\(738\) | −0.0888621 | − | 0.153914i | −0.00327106 | − | 0.00566564i | ||||
\(739\) | 8.06204 | − | 35.3221i | 0.296567 | − | 1.29934i | −0.578635 | − | 0.815587i | \(-0.696414\pi\) |
0.875202 | − | 0.483758i | \(-0.160728\pi\) | |||||||
\(740\) | 1.85137 | − | 4.71722i | 0.0680578 | − | 0.173408i | ||||
\(741\) | −10.9660 | − | 3.38256i | −0.402846 | − | 0.124262i | ||||
\(742\) | −1.97147 | − | 2.47215i | −0.0723751 | − | 0.0907555i | ||||
\(743\) | 2.06500 | − | 27.5555i | 0.0757574 | − | 1.01091i | −0.821731 | − | 0.569875i | \(-0.806992\pi\) |
0.897489 | − | 0.441037i | \(-0.145389\pi\) | |||||||
\(744\) | 14.4513 | − | 4.45764i | 0.529811 | − | 0.163425i | ||||
\(745\) | −2.80960 | − | 1.91556i | −0.102936 | − | 0.0701805i | ||||
\(746\) | 28.0286 | + | 4.22462i | 1.02620 | + | 0.154675i | ||||
\(747\) | 0.0667695 | + | 0.292536i | 0.00244297 | + | 0.0107033i | ||||
\(748\) | −0.937229 | + | 0.869622i | −0.0342685 | + | 0.0317965i | ||||
\(749\) | 0.794768 | + | 10.6054i | 0.0290402 | + | 0.387514i | ||||
\(750\) | −0.627302 | − | 1.59834i | −0.0229058 | − | 0.0583631i | ||||
\(751\) | 24.6637 | − | 3.71745i | 0.899990 | − | 0.135652i | 0.317280 | − | 0.948332i | \(-0.397231\pi\) |
0.582710 | + | 0.812680i | \(0.301992\pi\) | |||||||
\(752\) | 4.26654 | + | 2.05466i | 0.155585 | + | 0.0749256i | ||||
\(753\) | 8.85483 | + | 4.26426i | 0.322688 | + | 0.155398i | ||||
\(754\) | 6.53729 | − | 0.985337i | 0.238074 | − | 0.0358839i | ||||
\(755\) | −2.07339 | − | 5.28290i | −0.0754582 | − | 0.192264i | ||||
\(756\) | −0.372462 | − | 4.97016i | −0.0135463 | − | 0.180763i | ||||
\(757\) | 12.5623 | − | 11.6561i | 0.456584 | − | 0.423648i | −0.418056 | − | 0.908421i | \(-0.637288\pi\) |
0.874640 | + | 0.484773i | \(0.161098\pi\) | |||||||
\(758\) | −1.72157 | − | 7.54267i | −0.0625301 | − | 0.273962i | ||||
\(759\) | 8.68069 | + | 1.30840i | 0.315089 | + | 0.0474920i | ||||
\(760\) | 0.958852 | + | 0.653734i | 0.0347812 | + | 0.0237134i | ||||
\(761\) | 47.7797 | − | 14.7381i | 1.73201 | − | 0.534255i | 0.741413 | − | 0.671049i | \(-0.234156\pi\) |
0.990600 | + | 0.136793i | \(0.0436796\pi\) | |||||||
\(762\) | −2.77694 | + | 37.0557i | −0.100598 | + | 1.34238i | ||||
\(763\) | −8.97772 | − | 11.2577i | −0.325015 | − | 0.407556i | ||||
\(764\) | −13.7046 | − | 4.22732i | −0.495816 | − | 0.152939i | ||||
\(765\) | 0.0129668 | − | 0.0330388i | 0.000468814 | − | 0.00119452i | ||||
\(766\) | 1.66683 | − | 7.30285i | 0.0602249 | − | 0.263863i | ||||
\(767\) | 18.5932 | + | 32.2043i | 0.671360 | + | 1.16283i | ||||
\(768\) | −0.858516 | + | 1.48699i | −0.0309790 | + | 0.0536573i | ||||
\(769\) | 1.27392 | + | 1.18202i | 0.0459387 | + | 0.0426249i | 0.702808 | − | 0.711379i | \(-0.251929\pi\) |
−0.656869 | + | 0.754004i | \(0.728120\pi\) | |||||||
\(770\) | 1.10660 | − | 1.38763i | 0.0398791 | − | 0.0500068i | ||||
\(771\) | 6.71991 | − | 4.58156i | 0.242012 | − | 0.165001i | ||||
\(772\) | 4.45210 | − | 2.14402i | 0.160235 | − | 0.0771650i | ||||
\(773\) | −27.5708 | −0.991652 | −0.495826 | − | 0.868422i | \(-0.665135\pi\) | ||||
−0.495826 | + | 0.868422i | \(0.665135\pi\) | |||||||
\(774\) | −0.0696298 | + | 0.332463i | −0.00250279 | + | 0.0119502i | ||||
\(775\) | −8.80776 | −0.316384 | ||||||||
\(776\) | 9.24545 | − | 4.45237i | 0.331892 | − | 0.159831i | ||||
\(777\) | 6.83803 | − | 4.66209i | 0.245313 | − | 0.167251i | ||||
\(778\) | −21.6548 | + | 27.1542i | −0.776361 | + | 0.973526i | ||||
\(779\) | 2.91874 | + | 2.70820i | 0.104575 | + | 0.0970312i | ||||
\(780\) | −4.94434 | + | 8.56385i | −0.177036 | + | 0.306635i | ||||
\(781\) | 2.10096 | + | 3.63896i | 0.0751781 | + | 0.130212i | ||||
\(782\) | −0.417750 | + | 1.83028i | −0.0149387 | + | 0.0654508i | ||||
\(783\) | −2.19760 | + | 5.59939i | −0.0785358 | + | 0.200106i | ||||
\(784\) | −5.82451 | − | 1.79662i | −0.208018 | − | 0.0641651i | ||||
\(785\) | 5.19149 | + | 6.50993i | 0.185292 | + | 0.232349i | ||||
\(786\) | −0.963773 | + | 12.8607i | −0.0343767 | + | 0.458725i | ||||
\(787\) | −22.4337 | + | 6.91987i | −0.799674 | + | 0.246667i | −0.667548 | − | 0.744566i | \(-0.732656\pi\) |
−0.132125 | + | 0.991233i | \(0.542180\pi\) | |||||||
\(788\) | 18.2951 | + | 12.4734i | 0.651734 | + | 0.444345i | ||||
\(789\) | −25.4104 | − | 3.83001i | −0.904635 | − | 0.136352i | ||||
\(790\) | 2.63900 | + | 11.5622i | 0.0938915 | + | 0.411365i | ||||
\(791\) | −4.07004 | + | 3.77645i | −0.144714 | + | 0.134275i | ||||
\(792\) | −0.00722331 | − | 0.0963884i | −0.000256669 | − | 0.00342501i | ||||
\(793\) | −1.43979 | − | 3.66851i | −0.0511283 | − | 0.130273i | ||||
\(794\) | −0.588774 | + | 0.0887434i | −0.0208948 | + | 0.00314939i | ||||
\(795\) | −5.14279 | − | 2.47663i | −0.182396 | − | 0.0878372i | ||||
\(796\) | −13.9217 | − | 6.70434i | −0.493442 | − | 0.237629i | ||||
\(797\) | −28.3328 | + | 4.27049i | −1.00360 | + | 0.151268i | −0.630226 | − | 0.776412i | \(-0.717038\pi\) |
−0.373375 | + | 0.927681i | \(0.621799\pi\) | |||||||
\(798\) | 0.692428 | + | 1.76428i | 0.0245117 | + | 0.0624547i | ||||
\(799\) | 0.242473 | + | 3.23557i | 0.00857807 | + | 0.114466i | ||||
\(800\) | 0.733052 | − | 0.680173i | 0.0259173 | − | 0.0240477i | ||||
\(801\) | 0.101614 | + | 0.445199i | 0.00359034 | + | 0.0157303i | ||||
\(802\) | −16.1349 | − | 2.43194i | −0.569743 | − | 0.0858749i | ||||
\(803\) | −0.117236 | − | 0.0799300i | −0.00413716 | − | 0.00282067i | ||||
\(804\) | 1.75483 | − | 0.541292i | 0.0618879 | − | 0.0190899i | ||||
\(805\) | 0.194756 | − | 2.59884i | 0.00686425 | − | 0.0915971i | ||||
\(806\) | 31.6268 | + | 39.6587i | 1.11401 | + | 1.39692i | ||||
\(807\) | −51.8810 | − | 16.0032i | −1.82630 | − | 0.563338i | ||||
\(808\) | −5.29007 | + | 13.4789i | −0.186104 | + | 0.474185i | ||||
\(809\) | −9.27282 | + | 40.6269i | −0.326015 | + | 1.42837i | 0.500640 | + | 0.865656i | \(0.333098\pi\) |
−0.826655 | + | 0.562710i | \(0.809759\pi\) | |||||||
\(810\) | −4.42096 | − | 7.65732i | −0.155337 | − | 0.269051i | ||||
\(811\) | −13.2881 | + | 23.0156i | −0.466607 | + | 0.808188i | −0.999272 | − | 0.0381383i | \(-0.987857\pi\) |
0.532665 | + | 0.846326i | \(0.321191\pi\) | |||||||
\(812\) | −0.800390 | − | 0.742653i | −0.0280882 | − | 0.0260620i | ||||
\(813\) | 3.58335 | − | 4.49338i | 0.125674 | − | 0.157590i | ||||
\(814\) | 7.81286 | − | 5.32672i | 0.273841 | − | 0.186701i | ||||
\(815\) | −0.307750 | + | 0.148204i | −0.0107800 | + | 0.00519137i | ||||
\(816\) | −1.17647 | −0.0411846 | ||||||||
\(817\) | −0.704788 | − | 7.57721i | −0.0246574 | − | 0.265093i | ||||
\(818\) | 19.0195 | 0.665002 | ||||||||
\(819\) | 0.255654 | − | 0.123117i | 0.00893328 | − | 0.00430204i | ||||
\(820\) | 2.83479 | − | 1.93273i | 0.0989951 | − | 0.0674937i | ||||
\(821\) | −29.6179 | + | 37.1397i | −1.03367 | + | 1.29618i | −0.0795283 | + | 0.996833i | \(0.525341\pi\) |
−0.954143 | + | 0.299350i | \(0.903230\pi\) | |||||||
\(822\) | 21.1519 | + | 19.6261i | 0.737757 | + | 0.684539i | ||||
\(823\) | −10.9738 | + | 19.0071i | −0.382522 | + | 0.662547i | −0.991422 | − | 0.130700i | \(-0.958278\pi\) |
0.608900 | + | 0.793247i | \(0.291611\pi\) | |||||||
\(824\) | 3.60779 | + | 6.24887i | 0.125683 | + | 0.217690i | ||||
\(825\) | 0.712950 | − | 3.12364i | 0.0248217 | − | 0.108751i | ||||
\(826\) | 2.24374 | − | 5.71696i | 0.0780698 | − | 0.198919i | ||||
\(827\) | 11.6817 | + | 3.60333i | 0.406213 | + | 0.125300i | 0.491127 | − | 0.871088i | \(-0.336585\pi\) |
−0.0849136 | + | 0.996388i | \(0.527061\pi\) | |||||||
\(828\) | −0.0884922 | − | 0.110966i | −0.00307532 | − | 0.00385633i | ||||
\(829\) | 0.121718 | − | 1.62421i | 0.00422743 | − | 0.0564112i | −0.994691 | − | 0.102906i | \(-0.967186\pi\) |
0.998919 | + | 0.0464946i | \(0.0148050\pi\) | |||||||
\(830\) | −5.53528 | + | 1.70741i | −0.192132 | + | 0.0592650i | ||||
\(831\) | 25.2361 | + | 17.2057i | 0.875432 | + | 0.596860i | ||||
\(832\) | −5.69485 | − | 0.858360i | −0.197433 | − | 0.0297583i | ||||
\(833\) | −0.929325 | − | 4.07164i | −0.0321992 | − | 0.141074i | ||||
\(834\) | 0.0659059 | − | 0.0611518i | 0.00228214 | − | 0.00211751i | ||||
\(835\) | 1.86630 | + | 24.9040i | 0.0645859 | + | 0.861839i | ||||
\(836\) | 0.791141 | + | 2.01579i | 0.0273622 | + | 0.0697177i | ||||
\(837\) | −45.6375 | + | 6.87875i | −1.57746 | + | 0.237764i | ||||
\(838\) | 7.34531 | + | 3.53732i | 0.253740 | + | 0.122195i | ||||
\(839\) | −33.1433 | − | 15.9610i | −1.14423 | − | 0.551034i | −0.236937 | − | 0.971525i | \(-0.576143\pi\) |
−0.907297 | + | 0.420491i | \(0.861858\pi\) | |||||||
\(840\) | 1.61492 | − | 0.243411i | 0.0557202 | − | 0.00839846i | ||||
\(841\) | −10.1135 | − | 25.7687i | −0.348740 | − | 0.888575i | ||||
\(842\) | 0.396342 | + | 5.28881i | 0.0136588 | + | 0.182265i | ||||
\(843\) | 26.4513 | − | 24.5432i | 0.911030 | − | 0.845312i | ||||
\(844\) | 0.624801 | + | 2.73743i | 0.0215065 | + | 0.0942263i | ||||
\(845\) | −19.9428 | − | 3.00590i | −0.686054 | − | 0.103406i | ||||
\(846\) | −0.202676 | − | 0.138182i | −0.00696815 | − | 0.00475081i | ||||
\(847\) | −6.83317 | + | 2.10775i | −0.234790 | + | 0.0724233i | ||||
\(848\) | 0.248431 | − | 3.31508i | 0.00853115 | − | 0.113840i | ||||
\(849\) | 14.5747 | + | 18.2760i | 0.500201 | + | 0.627232i | ||||
\(850\) | 0.654735 | + | 0.201959i | 0.0224572 | + | 0.00692713i | ||||
\(851\) | 5.07268 | − | 12.9250i | 0.173889 | − | 0.443063i | ||||
\(852\) | −0.860373 | + | 3.76954i | −0.0294759 | + | 0.129142i | ||||
\(853\) | 20.7855 | + | 36.0016i | 0.711683 | + | 1.23267i | 0.964225 | + | 0.265085i | \(0.0853999\pi\) |
−0.252543 | + | 0.967586i | \(0.581267\pi\) | |||||||
\(854\) | −0.325432 | + | 0.563666i | −0.0111361 | + | 0.0192882i | ||||
\(855\) | −0.0440669 | − | 0.0408881i | −0.00150705 | − | 0.00139834i | ||||
\(856\) | −6.97144 | + | 8.74191i | −0.238279 | + | 0.298792i | ||||
\(857\) | −10.7703 | + | 7.34308i | −0.367907 | + | 0.250835i | −0.733135 | − | 0.680083i | \(-0.761944\pi\) |
0.365228 | + | 0.930918i | \(0.380991\pi\) | |||||||
\(858\) | −16.6249 | + | 8.00611i | −0.567563 | + | 0.273324i | ||||
\(859\) | −50.7841 | −1.73273 | −0.866365 | − | 0.499411i | \(-0.833550\pi\) | ||||
−0.866365 | + | 0.499411i | \(0.833550\pi\) | |||||||
\(860\) | −6.50069 | − | 0.860810i | −0.221672 | − | 0.0293534i | ||||
\(861\) | 5.60332 | 0.190961 | ||||||||
\(862\) | −5.66588 | + | 2.72855i | −0.192981 | + | 0.0929346i | ||||
\(863\) | 11.2458 | − | 7.66723i | 0.382810 | − | 0.260995i | −0.356591 | − | 0.934261i | \(-0.616061\pi\) |
0.739401 | + | 0.673265i | \(0.235109\pi\) | |||||||
\(864\) | 3.26711 | − | 4.09683i | 0.111149 | − | 0.139377i | ||||
\(865\) | 6.66966 | + | 6.18854i | 0.226775 | + | 0.210417i | ||||
\(866\) | 1.16052 | − | 2.01007i | 0.0394359 | − | 0.0683050i | ||||
\(867\) | 14.1917 | + | 24.5808i | 0.481976 | + | 0.834808i | ||||
\(868\) | 1.86418 | − | 8.16751i | 0.0632744 | − | 0.277223i | ||||
\(869\) | −8.08494 | + | 20.6001i | −0.274263 | + | 0.698810i | ||||
\(870\) | −1.88347 | − | 0.580972i | −0.0638555 | − | 0.0196968i | ||||
\(871\) | 3.84044 | + | 4.81576i | 0.130128 | + | 0.163176i | ||||
\(872\) | 1.13131 | − | 15.0963i | 0.0383109 | − | 0.511224i | ||||
\(873\) | −0.507941 | + | 0.156679i | −0.0171912 | + | 0.00530279i | ||||
\(874\) | 2.62722 | + | 1.79121i | 0.0888669 | + | 0.0605884i | ||||
\(875\) | −0.940532 | − | 0.141762i | −0.0317958 | − | 0.00479244i | ||||
\(876\) | −0.0290532 | − | 0.127290i | −0.000981617 | − | 0.00430075i | ||||
\(877\) | −41.1055 | + | 38.1404i | −1.38804 | + | 1.28791i | −0.475025 | + | 0.879972i | \(0.657561\pi\) |
−0.913011 | + | 0.407936i | \(0.866249\pi\) | |||||||
\(878\) | 2.55271 | + | 34.0636i | 0.0861499 | + | 1.14959i | ||||
\(879\) | 8.21596 | + | 20.9339i | 0.277118 | + | 0.706084i | ||||
\(880\) | 1.84515 | − | 0.278112i | 0.0622000 | − | 0.00937514i | ||||
\(881\) | −8.37284 | − | 4.03215i | −0.282088 | − | 0.135846i | 0.287490 | − | 0.957784i | \(-0.407179\pi\) |
−0.569578 | + | 0.821937i | \(0.692893\pi\) | |||||||
\(882\) | 0.284470 | + | 0.136994i | 0.00957861 | + | 0.00461281i | ||||
\(883\) | 26.0421 | − | 3.92521i | 0.876386 | − | 0.132094i | 0.304584 | − | 0.952485i | \(-0.401483\pi\) |
0.571802 | + | 0.820391i | \(0.306244\pi\) | |||||||
\(884\) | −1.44165 | − | 3.67327i | −0.0484880 | − | 0.123545i | ||||
\(885\) | −0.828508 | − | 11.0557i | −0.0278500 | − | 0.371633i | ||||
\(886\) | −2.54018 | + | 2.35694i | −0.0853390 | + | 0.0791830i | ||||
\(887\) | 9.50360 | + | 41.6380i | 0.319100 | + | 1.39807i | 0.839136 | + | 0.543922i | \(0.183061\pi\) |
−0.520036 | + | 0.854144i | \(0.674082\pi\) | |||||||
\(888\) | 8.60390 | + | 1.29683i | 0.288728 | + | 0.0435188i | ||||
\(889\) | 17.0078 | + | 11.5958i | 0.570425 | + | 0.388909i | ||||
\(890\) | −8.42391 | + | 2.59843i | −0.282370 | + | 0.0870996i | ||||
\(891\) | 1.23297 | − | 16.4528i | 0.0413059 | − | 0.551190i | ||||
\(892\) | 3.99093 | + | 5.00446i | 0.133626 | + | 0.167562i | ||||
\(893\) | 5.25140 | + | 1.61984i | 0.175732 | + | 0.0542060i | ||||
\(894\) | 2.13313 | − | 5.43512i | 0.0713424 | − | 0.181777i | ||||
\(895\) | −1.24709 | + | 5.46386i | −0.0416856 | + | 0.182637i | ||||
\(896\) | 0.475578 | + | 0.823725i | 0.0158879 | + | 0.0275187i | ||||
\(897\) | −13.5473 | + | 23.4646i | −0.452331 | + | 0.783461i | ||||
\(898\) | 3.16507 | + | 2.93676i | 0.105620 | + | 0.0980008i | ||||
\(899\) | −6.30391 | + | 7.90486i | −0.210247 | + | 0.263642i | ||||
\(900\) | −0.0427993 | + | 0.0291801i | −0.00142664 | + | 0.000972670i | ||||
\(901\) | 2.05221 | − | 0.988292i | 0.0683690 | − | 0.0329248i | ||||
\(902\) | 6.40213 | 0.213168 | ||||||||
\(903\) | −7.97999 | − | 7.14216i | −0.265557 | − | 0.237676i | ||||
\(904\) | −5.83731 | −0.194146 | ||||||||
\(905\) | −10.7740 | + | 5.18850i | −0.358141 | + | 0.172472i | ||||
\(906\) | 8.05129 | − | 5.48928i | 0.267486 | − | 0.182369i | ||||
\(907\) | −14.4983 | + | 18.1803i | −0.481408 | + | 0.603667i | −0.961923 | − | 0.273320i | \(-0.911878\pi\) |
0.480515 | + | 0.876986i | \(0.340450\pi\) | |||||||
\(908\) | −21.6126 | − | 20.0535i | −0.717238 | − | 0.665500i | ||||
\(909\) | 0.375029 | − | 0.649569i | 0.0124389 | − | 0.0215448i | ||||
\(910\) | 2.73893 | + | 4.74397i | 0.0907948 | + | 0.157261i | ||||
\(911\) | −7.98232 | + | 34.9728i | −0.264466 | + | 1.15870i | 0.651882 | + | 0.758320i | \(0.273980\pi\) |
−0.916349 | + | 0.400382i | \(0.868878\pi\) | |||||||
\(912\) | −0.727986 | + | 1.85488i | −0.0241060 | + | 0.0614211i | ||||
\(913\) | −10.3288 | − | 3.18601i | −0.341833 | − | 0.105441i | ||||
\(914\) | −2.98862 | − | 3.74760i | −0.0988546 | − | 0.123960i | ||||
\(915\) | −0.0878038 | + | 1.17166i | −0.00290270 | + | 0.0387339i | ||||
\(916\) | −10.4006 | + | 3.20816i | −0.343646 | + | 0.106001i | ||||
\(917\) | 5.90280 | + | 4.02446i | 0.194928 | + | 0.132899i | ||||
\(918\) | 3.55024 | + | 0.535113i | 0.117176 | + | 0.0176614i | ||||
\(919\) | 4.51789 | + | 19.7942i | 0.149032 | + | 0.652950i | 0.993155 | + | 0.116801i | \(0.0372641\pi\) |
−0.844124 | + | 0.536148i | \(0.819879\pi\) | |||||||
\(920\) | 2.00853 | − | 1.86365i | 0.0662194 | − | 0.0614426i | ||||
\(921\) | −1.97249 | − | 26.3210i | −0.0649957 | − | 0.867308i | ||||
\(922\) | 0.240369 | + | 0.612451i | 0.00791614 | + | 0.0201700i | ||||
\(923\) | −12.8239 | + | 1.93289i | −0.422103 | + | 0.0636218i | ||||
\(924\) | 2.74568 | + | 1.32225i | 0.0903261 | + | 0.0434988i | ||||
\(925\) | −4.56567 | − | 2.19871i | −0.150118 | − | 0.0722932i | ||||
\(926\) | 10.4743 | − | 1.57875i | 0.344208 | − | 0.0518810i | ||||
\(927\) | −0.136553 | − | 0.347931i | −0.00448499 | − | 0.0114276i | ||||
\(928\) | −0.0857849 | − | 1.14472i | −0.00281603 | − | 0.0375773i | ||||
\(929\) | 19.8435 | − | 18.4121i | 0.651045 | − | 0.604082i | −0.283908 | − | 0.958851i | \(-0.591631\pi\) |
0.934954 | + | 0.354770i | \(0.115441\pi\) | |||||||
\(930\) | −3.36523 | − | 14.7440i | −0.110350 | − | 0.483476i | ||||
\(931\) | −6.99461 | − | 1.05427i | −0.229239 | − | 0.0345522i | ||||
\(932\) | −20.2190 | − | 13.7851i | −0.662296 | − | 0.451546i | ||||
\(933\) | −15.0166 | + | 4.63200i | −0.491621 | + | 0.151645i | ||||
\(934\) | −2.12311 | + | 28.3309i | −0.0694703 | + | 0.927016i | ||||
\(935\) | 0.797151 | + | 0.999596i | 0.0260696 | + | 0.0326903i | ||||
\(936\) | 0.285073 | + | 0.0879332i | 0.00931789 | + | 0.00287419i | ||||
\(937\) | 17.4115 | − | 44.3639i | 0.568810 | − | 1.44931i | −0.299893 | − | 0.953973i | \(-0.596951\pi\) |
0.868704 | − | 0.495332i | \(-0.164954\pi\) | |||||||
\(938\) | 0.226368 | − | 0.991781i | 0.00739117 | − | 0.0323828i | ||||
\(939\) | 3.43053 | + | 5.94185i | 0.111951 | + | 0.193905i | ||||
\(940\) | 2.36775 | − | 4.10106i | 0.0772275 | − | 0.133762i | ||||
\(941\) | 7.47017 | + | 6.93131i | 0.243521 | + | 0.225954i | 0.792485 | − | 0.609892i | \(-0.208787\pi\) |
−0.548964 | + | 0.835846i | \(0.684978\pi\) | |||||||
\(942\) | −8.91396 | + | 11.1778i | −0.290433 | + | 0.364191i | ||||
\(943\) | 7.76721 | − | 5.29559i | 0.252935 | − | 0.172448i | ||||
\(944\) | 5.81745 | − | 2.80154i | 0.189342 | − | 0.0911823i | ||||
\(945\) | −4.98409 | −0.162133 | ||||||||
\(946\) | −9.11763 | − | 8.16036i | −0.296440 | − | 0.265316i | ||||
\(947\) | −35.2290 | −1.14479 | −0.572394 | − | 0.819979i | \(-0.693985\pi\) | ||||
−0.572394 | + | 0.819979i | \(0.693985\pi\) | |||||||
\(948\) | −18.3467 | + | 8.83528i | −0.595872 | + | 0.286957i | ||||
\(949\) | 0.361835 | − | 0.246695i | 0.0117457 | − | 0.00800806i | ||||
\(950\) | 0.723561 | − | 0.907317i | 0.0234754 | − | 0.0294373i | ||||
\(951\) | 26.7488 | + | 24.8193i | 0.867390 | + | 0.804820i | ||||
\(952\) | −0.325854 | + | 0.564396i | −0.0105610 | + | 0.0182922i | ||||
\(953\) | 14.1460 | + | 24.5016i | 0.458234 | + | 0.793684i | 0.998868 | − | 0.0475740i | \(-0.0151490\pi\) |
−0.540634 | + | 0.841258i | \(0.681816\pi\) | |||||||
\(954\) | −0.0383189 | + | 0.167886i | −0.00124062 | + | 0.00543551i | ||||
\(955\) | −5.23965 | + | 13.3504i | −0.169551 | + | 0.432009i | ||||
\(956\) | 18.5119 | + | 5.71016i | 0.598717 | + | 0.184680i | ||||
\(957\) | −2.29315 | − | 2.87552i | −0.0741271 | − | 0.0929524i | ||||
\(958\) | −1.10814 | + | 14.7871i | −0.0358025 | + | 0.477751i | ||||
\(959\) | 15.2740 | − | 4.71139i | 0.493222 | − | 0.152139i | ||||
\(960\) | 1.41868 | + | 0.967239i | 0.0457877 | + | 0.0312175i | ||||
\(961\) | −46.0564 | − | 6.94189i | −1.48569 | − | 0.223932i | ||||
\(962\) | 6.49421 | + | 28.4530i | 0.209382 | + | 0.917361i | ||||
\(963\) | 0.424580 | − | 0.393952i | 0.0136819 | − | 0.0126949i | ||||
\(964\) | −2.14958 | − | 28.6841i | −0.0692332 | − | 0.923852i | ||||
\(965\) | −1.80532 | − | 4.59988i | −0.0581153 | − | 0.148075i | ||||
\(966\) | 4.42483 | − | 0.666935i | 0.142366 | − | 0.0214583i | ||||
\(967\) | 28.3452 | + | 13.6503i | 0.911519 | + | 0.438964i | 0.830036 | − | 0.557711i | \(-0.188320\pi\) |
0.0814831 | + | 0.996675i | \(0.474034\pi\) | |||||||
\(968\) | −6.77355 | − | 3.26197i | −0.217710 | − | 0.104844i | ||||
\(969\) | −1.35004 | + | 0.203486i | −0.0433697 | + | 0.00653693i | ||||
\(970\) | −3.74901 | − | 9.55232i | −0.120373 | − | 0.306707i | ||||
\(971\) | −2.05969 | − | 27.4846i | −0.0660985 | − | 0.882023i | −0.927434 | − | 0.373987i | \(-0.877991\pi\) |
0.861336 | − | 0.508036i | \(-0.169628\pi\) | |||||||
\(972\) | −0.394575 | + | 0.366112i | −0.0126560 | + | 0.0117430i | ||||
\(973\) | −0.0110824 | − | 0.0485552i | −0.000355285 | − | 0.00155661i | ||||
\(974\) | 36.6155 | + | 5.51889i | 1.17324 | + | 0.176837i | ||||
\(975\) | 8.17042 | + | 5.57050i | 0.261663 | + | 0.178399i | ||||
\(976\) | −0.653888 | + | 0.201698i | −0.0209304 | + | 0.00645618i | ||||
\(977\) | −4.22923 | + | 56.4351i | −0.135305 | + | 1.80552i | 0.355951 | + | 0.934505i | \(0.384157\pi\) |
−0.491256 | + | 0.871015i | \(0.663462\pi\) | |||||||
\(978\) | −0.365675 | − | 0.458542i | −0.0116930 | − | 0.0146626i | ||||
\(979\) | −15.7189 | − | 4.84865i | −0.502379 | − | 0.154964i | ||||
\(980\) | −2.22686 | + | 5.67396i | −0.0711346 | + | 0.181248i | ||||
\(981\) | −0.174497 | + | 0.764521i | −0.00557126 | + | 0.0244093i | ||||
\(982\) | −2.59841 | − | 4.50058i | −0.0829187 | − | 0.143619i | ||||
\(983\) | −9.43277 | + | 16.3380i | −0.300859 | + | 0.521103i | −0.976331 | − | 0.216283i | \(-0.930607\pi\) |
0.675472 | + | 0.737386i | \(0.263940\pi\) | |||||||
\(984\) | 4.31845 | + | 4.00694i | 0.137667 | + | 0.127737i | ||||
\(985\) | 13.8057 | − | 17.3118i | 0.439885 | − | 0.551599i | ||||
\(986\) | 0.649864 | − | 0.443070i | 0.0206959 | − | 0.0141102i | ||||
\(987\) | 6.96796 | − | 3.35559i | 0.221793 | − | 0.106810i | ||||
\(988\) | −6.68353 | −0.212631 | ||||||||
\(989\) | −17.8116 | − | 2.35858i | −0.566377 | − | 0.0749986i | ||||
\(990\) | −0.0966587 | −0.00307202 | ||||||||
\(991\) | 22.1027 | − | 10.6441i | 0.702116 | − | 0.338121i | −0.0485336 | − | 0.998822i | \(-0.515455\pi\) |
0.750650 | + | 0.660700i | \(0.229741\pi\) | |||||||
\(992\) | 7.27731 | − | 4.96159i | 0.231055 | − | 0.157531i | ||||
\(993\) | 2.12974 | − | 2.67062i | 0.0675854 | − | 0.0847494i | ||||
\(994\) | 1.57009 | + | 1.45683i | 0.0498001 | + | 0.0462078i | ||||
\(995\) | −7.72596 | + | 13.3818i | −0.244929 | + | 0.424230i | ||||
\(996\) | −4.97306 | − | 8.61360i | −0.157578 | − | 0.272932i | ||||
\(997\) | −2.41303 | + | 10.5722i | −0.0764215 | + | 0.334824i | −0.998657 | − | 0.0518035i | \(-0.983503\pi\) |
0.922236 | + | 0.386628i | \(0.126360\pi\) | |||||||
\(998\) | −8.56764 | + | 21.8300i | −0.271204 | + | 0.691017i | ||||
\(999\) | −25.3743 | − | 7.82692i | −0.802806 | − | 0.247633i |
(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 | 430.2.q.c.31.3 | ✓ | 48 | |
43.25 | even | 21 | inner | 430.2.q.c.111.3 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.q.c.31.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
430.2.q.c.111.3 | yes | 48 | 43.25 | even | 21 | inner |