Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 166.2 | ||
Character | \(\chi\) | \(=\) | 177.166 |
Dual form | 177.2.e.a.16.2 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{27}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29523 | + | 0.285102i | −0.915867 | + | 0.201598i | −0.647807 | − | 0.761805i | \(-0.724314\pi\) |
−0.268060 | + | 0.963402i | \(0.586383\pi\) | |||||||
\(3\) | −0.161782 | + | 0.986827i | −0.0934049 | + | 0.569745i | ||||
\(4\) | −0.218809 | + | 0.101232i | −0.109404 | + | 0.0506159i | ||||
\(5\) | 0.106655 | − | 0.384136i | 0.0476975 | − | 0.171791i | −0.935865 | − | 0.352359i | \(-0.885380\pi\) |
0.983563 | + | 0.180568i | \(0.0577935\pi\) | |||||||
\(6\) | −0.0718011 | − | 1.32429i | −0.0293127 | − | 0.540641i | ||||
\(7\) | −2.67256 | + | 2.53159i | −1.01013 | + | 0.956850i | −0.999071 | − | 0.0430891i | \(-0.986280\pi\) |
−0.0110627 | + | 0.999939i | \(0.503521\pi\) | |||||||
\(8\) | 2.36617 | − | 1.79871i | 0.836566 | − | 0.635941i | ||||
\(9\) | −0.947653 | − | 0.319302i | −0.315884 | − | 0.106434i | ||||
\(10\) | −0.0286247 | + | 0.527952i | −0.00905194 | + | 0.166953i | ||||
\(11\) | −2.09462 | − | 2.46597i | −0.631551 | − | 0.743519i | 0.349571 | − | 0.936910i | \(-0.386327\pi\) |
−0.981122 | + | 0.193391i | \(0.938051\pi\) | |||||||
\(12\) | −0.0644988 | − | 0.232304i | −0.0186192 | − | 0.0670603i | ||||
\(13\) | −5.28494 | + | 1.78070i | −1.46578 | + | 0.493878i | −0.935311 | − | 0.353827i | \(-0.884880\pi\) |
−0.530467 | + | 0.847705i | \(0.677984\pi\) | |||||||
\(14\) | 2.73983 | − | 4.04094i | 0.732250 | − | 1.07999i | ||||
\(15\) | 0.361820 | + | 0.167396i | 0.0934216 | + | 0.0432215i | ||||
\(16\) | −2.23976 | + | 2.63685i | −0.559939 | + | 0.659211i | ||||
\(17\) | 0.872638 | + | 0.826606i | 0.211646 | + | 0.200481i | 0.786177 | − | 0.618001i | \(-0.212057\pi\) |
−0.574532 | + | 0.818482i | \(0.694816\pi\) | |||||||
\(18\) | 1.31846 | + | 0.143392i | 0.310765 | + | 0.0337977i | ||||
\(19\) | −1.70286 | − | 4.27385i | −0.390662 | − | 0.980488i | −0.984418 | − | 0.175843i | \(-0.943735\pi\) |
0.593756 | − | 0.804645i | \(-0.297644\pi\) | |||||||
\(20\) | 0.0155497 | + | 0.0948491i | 0.00347702 | + | 0.0212089i | ||||
\(21\) | −2.06586 | − | 3.04692i | −0.450808 | − | 0.664893i | ||||
\(22\) | 3.41607 | + | 2.59683i | 0.728308 | + | 0.553646i | ||||
\(23\) | −6.61815 | + | 0.719767i | −1.37998 | + | 0.150082i | −0.767826 | − | 0.640658i | \(-0.778662\pi\) |
−0.612152 | + | 0.790740i | \(0.709696\pi\) | |||||||
\(24\) | 1.39221 | + | 2.62599i | 0.284184 | + | 0.536029i | ||||
\(25\) | 4.14810 | + | 2.49583i | 0.829620 | + | 0.499166i | ||||
\(26\) | 6.33754 | − | 3.81317i | 1.24289 | − | 0.747824i | ||||
\(27\) | 0.468408 | − | 0.883512i | 0.0901452 | − | 0.170032i | ||||
\(28\) | 0.328503 | − | 0.824481i | 0.0620813 | − | 0.155812i | ||||
\(29\) | −1.60158 | − | 0.352535i | −0.297406 | − | 0.0654641i | 0.0637607 | − | 0.997965i | \(-0.479691\pi\) |
−0.361167 | + | 0.932501i | \(0.617622\pi\) | |||||||
\(30\) | −0.516366 | − | 0.113661i | −0.0942752 | − | 0.0207515i | ||||
\(31\) | −3.12782 | + | 7.85025i | −0.561774 | + | 1.40995i | 0.324101 | + | 0.946022i | \(0.394938\pi\) |
−0.885875 | + | 0.463924i | \(0.846441\pi\) | |||||||
\(32\) | −0.635193 | + | 1.19810i | −0.112287 | + | 0.211796i | ||||
\(33\) | 2.77236 | − | 1.66807i | 0.482606 | − | 0.290374i | ||||
\(34\) | −1.36593 | − | 0.821856i | −0.234256 | − | 0.140947i | ||||
\(35\) | 0.687431 | + | 1.29663i | 0.116197 | + | 0.219171i | ||||
\(36\) | 0.239678 | − | 0.0260666i | 0.0399464 | − | 0.00434443i | ||||
\(37\) | 7.38620 | + | 5.61484i | 1.21428 | + | 0.923074i | 0.998574 | − | 0.0533836i | \(-0.0170006\pi\) |
0.215709 | + | 0.976458i | \(0.430794\pi\) | |||||||
\(38\) | 3.42408 | + | 5.05014i | 0.555459 | + | 0.819240i | ||||
\(39\) | −0.902237 | − | 5.50340i | −0.144474 | − | 0.881250i | ||||
\(40\) | −0.438587 | − | 1.10077i | −0.0693466 | − | 0.174047i | ||||
\(41\) | 8.92679 | + | 0.970847i | 1.39413 | + | 0.151621i | 0.774153 | − | 0.632999i | \(-0.218176\pi\) |
0.619977 | + | 0.784620i | \(0.287142\pi\) | |||||||
\(42\) | 3.54446 | + | 3.35749i | 0.546921 | + | 0.518072i | ||||
\(43\) | 2.79150 | − | 3.28641i | 0.425700 | − | 0.501173i | −0.506940 | − | 0.861981i | \(-0.669223\pi\) |
0.932640 | + | 0.360809i | \(0.117499\pi\) | |||||||
\(44\) | 0.707955 | + | 0.327535i | 0.106728 | + | 0.0493778i | ||||
\(45\) | −0.223727 | + | 0.329972i | −0.0333512 | + | 0.0491894i | ||||
\(46\) | 8.36683 | − | 2.81911i | 1.23362 | − | 0.415655i | ||||
\(47\) | 1.31279 | + | 4.72825i | 0.191491 | + | 0.689687i | 0.995474 | + | 0.0950349i | \(0.0302963\pi\) |
−0.803983 | + | 0.594652i | \(0.797290\pi\) | |||||||
\(48\) | −2.23976 | − | 2.63685i | −0.323281 | − | 0.380596i | ||||
\(49\) | 0.354692 | − | 6.54191i | 0.0506703 | − | 0.934559i | ||||
\(50\) | −6.08432 | − | 2.05005i | −0.860453 | − | 0.289920i | ||||
\(51\) | −0.956894 | + | 0.727412i | −0.133992 | + | 0.101858i | ||||
\(52\) | 0.976127 | − | 0.924637i | 0.135365 | − | 0.128224i | ||||
\(53\) | −0.143850 | − | 2.65315i | −0.0197593 | − | 0.364439i | −0.991646 | − | 0.128989i | \(-0.958827\pi\) |
0.971887 | − | 0.235449i | \(-0.0756561\pi\) | |||||||
\(54\) | −0.354806 | + | 1.27790i | −0.0482830 | + | 0.173900i | ||||
\(55\) | −1.17067 | + | 0.541609i | −0.157853 | + | 0.0730306i | ||||
\(56\) | −1.77013 | + | 10.7973i | −0.236544 | + | 1.44285i | ||||
\(57\) | 4.49304 | − | 0.988993i | 0.595117 | − | 0.130995i | ||||
\(58\) | 2.17493 | 0.285582 | ||||||||
\(59\) | −7.66485 | + | 0.500088i | −0.997878 | + | 0.0651059i | ||||
\(60\) | −0.0961153 | −0.0124084 | ||||||||
\(61\) | −2.76520 | + | 0.608666i | −0.354047 | + | 0.0779317i | −0.388433 | − | 0.921477i | \(-0.626984\pi\) |
0.0343857 | + | 0.999409i | \(0.489053\pi\) | |||||||
\(62\) | 1.81314 | − | 11.0596i | 0.230268 | − | 1.40458i | ||||
\(63\) | 3.34100 | − | 1.54571i | 0.420927 | − | 0.194741i | ||||
\(64\) | 2.33227 | − | 8.40009i | 0.291534 | − | 1.05001i | ||||
\(65\) | 0.120368 | + | 2.22005i | 0.0149298 | + | 0.275364i | ||||
\(66\) | −3.11528 | + | 2.95095i | −0.383464 | + | 0.363236i | ||||
\(67\) | −7.07476 | + | 5.37809i | −0.864320 | + | 0.657039i | −0.940403 | − | 0.340063i | \(-0.889552\pi\) |
0.0760830 | + | 0.997101i | \(0.475759\pi\) | |||||||
\(68\) | −0.274620 | − | 0.0925301i | −0.0333025 | − | 0.0112209i | ||||
\(69\) | 0.360412 | − | 6.64741i | 0.0433885 | − | 0.800254i | ||||
\(70\) | −1.26006 | − | 1.48345i | −0.150605 | − | 0.177306i | ||||
\(71\) | 0.401964 | + | 1.44774i | 0.0477044 | + | 0.171816i | 0.983565 | − | 0.180555i | \(-0.0577894\pi\) |
−0.935861 | + | 0.352371i | \(0.885376\pi\) | |||||||
\(72\) | −2.81664 | + | 0.949035i | −0.331944 | + | 0.111845i | ||||
\(73\) | −4.99290 | + | 7.36398i | −0.584375 | + | 0.861888i | −0.998839 | − | 0.0481773i | \(-0.984659\pi\) |
0.414464 | + | 0.910066i | \(0.363969\pi\) | |||||||
\(74\) | −11.1676 | − | 5.16670i | −1.29821 | − | 0.600617i | ||||
\(75\) | −3.13404 | + | 3.68968i | −0.361888 | + | 0.426047i | ||||
\(76\) | 0.805249 | + | 0.762772i | 0.0923684 | + | 0.0874960i | ||||
\(77\) | 11.8408 | + | 1.28777i | 1.34939 | + | 0.146755i | ||||
\(78\) | 2.73764 | + | 6.87095i | 0.309976 | + | 0.777982i | ||||
\(79\) | −0.276124 | − | 1.68428i | −0.0310663 | − | 0.189496i | 0.966734 | − | 0.255783i | \(-0.0823332\pi\) |
−0.997801 | + | 0.0662864i | \(0.978885\pi\) | |||||||
\(80\) | 0.774026 | + | 1.14160i | 0.0865387 | + | 0.127635i | ||||
\(81\) | 0.796093 | + | 0.605174i | 0.0884548 | + | 0.0672416i | ||||
\(82\) | −11.8391 | + | 1.28757i | −1.30740 | + | 0.142189i | ||||
\(83\) | 2.66160 | + | 5.02031i | 0.292149 | + | 0.551051i | 0.985526 | − | 0.169524i | \(-0.0542230\pi\) |
−0.693377 | + | 0.720575i | \(0.743878\pi\) | |||||||
\(84\) | 0.760474 | + | 0.457562i | 0.0829745 | + | 0.0499241i | ||||
\(85\) | 0.410600 | − | 0.247050i | 0.0445358 | − | 0.0267963i | ||||
\(86\) | −2.67868 | + | 5.05253i | −0.288849 | + | 0.544828i | ||||
\(87\) | 0.606998 | − | 1.52345i | 0.0650770 | − | 0.163331i | ||||
\(88\) | −9.39179 | − | 2.06729i | −1.00117 | − | 0.220374i | ||||
\(89\) | −17.8537 | − | 3.92989i | −1.89248 | − | 0.416567i | −0.893043 | − | 0.449971i | \(-0.851434\pi\) |
−0.999442 | + | 0.0334038i | \(0.989365\pi\) | |||||||
\(90\) | 0.195702 | − | 0.491176i | 0.0206288 | − | 0.0517745i | ||||
\(91\) | 9.61633 | − | 18.1383i | 1.00807 | − | 1.90141i | ||||
\(92\) | 1.37525 | − | 0.827458i | 0.143379 | − | 0.0862684i | ||||
\(93\) | −7.24081 | − | 4.35665i | −0.750837 | − | 0.451763i | ||||
\(94\) | −3.04841 | − | 5.74990i | −0.314419 | − | 0.593057i | ||||
\(95\) | −1.82336 | + | 0.198302i | −0.187072 | + | 0.0203453i | ||||
\(96\) | −1.07956 | − | 0.820657i | −0.110182 | − | 0.0837580i | ||||
\(97\) | −3.26329 | − | 4.81300i | −0.331337 | − | 0.488686i | 0.625132 | − | 0.780519i | \(-0.285045\pi\) |
−0.956469 | + | 0.291833i | \(0.905735\pi\) | |||||||
\(98\) | 1.40570 | + | 8.57442i | 0.141998 | + | 0.866147i | ||||
\(99\) | 1.19758 | + | 3.00570i | 0.120361 | + | 0.302084i | ||||
\(100\) | −1.16030 | − | 0.126190i | −0.116030 | − | 0.0126190i | ||||
\(101\) | −11.5672 | − | 10.9570i | −1.15098 | − | 1.09026i | −0.994728 | − | 0.102546i | \(-0.967301\pi\) |
−0.156249 | − | 0.987718i | \(-0.549940\pi\) | |||||||
\(102\) | 1.03201 | − | 1.21498i | 0.102184 | − | 0.120301i | ||||
\(103\) | 5.35311 | + | 2.47661i | 0.527458 | + | 0.244028i | 0.665499 | − | 0.746398i | \(-0.268219\pi\) |
−0.138041 | + | 0.990426i | \(0.544081\pi\) | |||||||
\(104\) | −9.30207 | + | 13.7195i | −0.912143 | + | 1.34531i | ||||
\(105\) | −1.39077 | + | 0.468603i | −0.135725 | + | 0.0457310i | ||||
\(106\) | 0.942738 | + | 3.39544i | 0.0915668 | + | 0.329794i | ||||
\(107\) | 5.21993 | + | 6.14538i | 0.504630 | + | 0.594096i | 0.954208 | − | 0.299145i | \(-0.0967014\pi\) |
−0.449578 | + | 0.893241i | \(0.648426\pi\) | |||||||
\(108\) | −0.0130524 | + | 0.240738i | −0.00125597 | + | 0.0231650i | ||||
\(109\) | 10.4546 | + | 3.52255i | 1.00137 | + | 0.337399i | 0.771781 | − | 0.635889i | \(-0.219366\pi\) |
0.229585 | + | 0.973288i | \(0.426263\pi\) | |||||||
\(110\) | 1.36187 | − | 1.03527i | 0.129850 | − | 0.0987091i | ||||
\(111\) | −6.73583 | + | 6.38051i | −0.639336 | + | 0.605612i | ||||
\(112\) | −0.689511 | − | 12.7173i | −0.0651526 | − | 1.20167i | ||||
\(113\) | 3.45278 | − | 12.4358i | 0.324810 | − | 1.16986i | −0.603287 | − | 0.797524i | \(-0.706143\pi\) |
0.928097 | − | 0.372337i | \(-0.121444\pi\) | |||||||
\(114\) | −5.53756 | + | 2.56195i | −0.518640 | + | 0.239949i | ||||
\(115\) | −0.429369 | + | 2.61903i | −0.0400388 | + | 0.244226i | ||||
\(116\) | 0.386128 | − | 0.0849932i | 0.0358511 | − | 0.00789142i | ||||
\(117\) | 5.57687 | 0.515582 | ||||||||
\(118\) | 9.78518 | − | 2.83299i | 0.900799 | − | 0.260798i | ||||
\(119\) | −4.42480 | −0.405621 | ||||||||
\(120\) | 1.15722 | − | 0.254724i | 0.105640 | − | 0.0232530i | ||||
\(121\) | 0.0859959 | − | 0.524552i | 0.00781781 | − | 0.0476865i | ||||
\(122\) | 3.40804 | − | 1.57673i | 0.308550 | − | 0.142750i | ||||
\(123\) | −2.40225 | + | 8.65213i | −0.216604 | + | 0.780136i | ||||
\(124\) | −0.110299 | − | 2.03434i | −0.00990511 | − | 0.182689i | ||||
\(125\) | 2.84830 | − | 2.69806i | 0.254760 | − | 0.241322i | ||||
\(126\) | −3.88669 | + | 2.95458i | −0.346254 | + | 0.263215i | ||||
\(127\) | −3.37457 | − | 1.13702i | −0.299445 | − | 0.100895i | 0.165569 | − | 0.986198i | \(-0.447054\pi\) |
−0.465013 | + | 0.885304i | \(0.653951\pi\) | |||||||
\(128\) | −0.479119 | + | 8.83684i | −0.0423486 | + | 0.781073i | ||||
\(129\) | 2.79150 | + | 3.28641i | 0.245778 | + | 0.289352i | ||||
\(130\) | −0.788846 | − | 2.84117i | −0.0691864 | − | 0.249187i | ||||
\(131\) | 14.1472 | − | 4.76676i | 1.23605 | − | 0.416474i | 0.375970 | − | 0.926632i | \(-0.377310\pi\) |
0.860081 | + | 0.510158i | \(0.170413\pi\) | |||||||
\(132\) | −0.437755 | + | 0.645640i | −0.0381016 | + | 0.0561957i | ||||
\(133\) | 15.3706 | + | 7.11120i | 1.33280 | + | 0.616619i | ||||
\(134\) | 7.63015 | − | 8.98291i | 0.659145 | − | 0.776005i | ||||
\(135\) | −0.289431 | − | 0.274163i | −0.0249102 | − | 0.0235962i | ||||
\(136\) | 3.55163 | + | 0.386263i | 0.304550 | + | 0.0331218i | ||||
\(137\) | 4.23038 | + | 10.6175i | 0.361426 | + | 0.907110i | 0.991444 | + | 0.130530i | \(0.0416679\pi\) |
−0.630019 | + | 0.776580i | \(0.716953\pi\) | |||||||
\(138\) | 1.42837 | + | 8.71269i | 0.121591 | + | 0.741673i | ||||
\(139\) | −2.29424 | − | 3.38374i | −0.194595 | − | 0.287005i | 0.717857 | − | 0.696191i | \(-0.245123\pi\) |
−0.912451 | + | 0.409185i | \(0.865813\pi\) | |||||||
\(140\) | −0.281676 | − | 0.214125i | −0.0238060 | − | 0.0180968i | ||||
\(141\) | −4.87835 | + | 0.530553i | −0.410831 | + | 0.0446806i | ||||
\(142\) | −0.933391 | − | 1.76056i | −0.0783284 | − | 0.147743i | ||||
\(143\) | 15.4611 | + | 9.30263i | 1.29292 | + | 0.777925i | ||||
\(144\) | 2.96446 | − | 1.78366i | 0.247038 | − | 0.148638i | ||||
\(145\) | −0.306237 | + | 0.577625i | −0.0254316 | + | 0.0479692i | ||||
\(146\) | 4.36748 | − | 10.9615i | 0.361455 | − | 0.907184i | ||||
\(147\) | 6.39835 | + | 1.40838i | 0.527727 | + | 0.116162i | ||||
\(148\) | −2.18456 | − | 0.480859i | −0.179570 | − | 0.0395264i | ||||
\(149\) | 0.583263 | − | 1.46388i | 0.0477828 | − | 0.119926i | −0.903148 | − | 0.429329i | \(-0.858750\pi\) |
0.950931 | + | 0.309403i | \(0.100129\pi\) | |||||||
\(150\) | 3.00737 | − | 5.67251i | 0.245551 | − | 0.463158i | ||||
\(151\) | 0.859222 | − | 0.516977i | 0.0699225 | − | 0.0420710i | −0.480163 | − | 0.877179i | \(-0.659423\pi\) |
0.550086 | + | 0.835108i | \(0.314595\pi\) | |||||||
\(152\) | −11.7167 | − | 7.04968i | −0.950347 | − | 0.571805i | ||||
\(153\) | −0.563021 | − | 1.06197i | −0.0455176 | − | 0.0858552i | ||||
\(154\) | −15.7038 | + | 1.70789i | −1.26544 | + | 0.137625i | ||||
\(155\) | 2.68196 | + | 2.03878i | 0.215420 | + | 0.163758i | ||||
\(156\) | 0.754536 | + | 1.11286i | 0.0604113 | + | 0.0890999i | ||||
\(157\) | 3.63134 | + | 22.1502i | 0.289812 | + | 1.76778i | 0.583731 | + | 0.811947i | \(0.301592\pi\) |
−0.293919 | + | 0.955830i | \(0.594960\pi\) | |||||||
\(158\) | 0.837836 | + | 2.10281i | 0.0666546 | + | 0.167291i | ||||
\(159\) | 2.64147 | + | 0.287278i | 0.209482 | + | 0.0227826i | ||||
\(160\) | 0.392487 | + | 0.371784i | 0.0310288 | + | 0.0293921i | ||||
\(161\) | 15.8653 | − | 18.6780i | 1.25036 | − | 1.47203i | ||||
\(162\) | −1.20366 | − | 0.556873i | −0.0945686 | − | 0.0437521i | ||||
\(163\) | −3.14958 | + | 4.64529i | −0.246694 | + | 0.363847i | −0.930796 | − | 0.365540i | \(-0.880884\pi\) |
0.684101 | + | 0.729387i | \(0.260195\pi\) | |||||||
\(164\) | −2.05154 | + | 0.691244i | −0.160198 | + | 0.0539771i | ||||
\(165\) | −0.345081 | − | 1.24287i | −0.0268645 | − | 0.0967573i | ||||
\(166\) | −4.87869 | − | 5.74364i | −0.378660 | − | 0.445793i | ||||
\(167\) | 0.701131 | − | 12.9316i | 0.0542551 | − | 1.00068i | −0.837008 | − | 0.547191i | \(-0.815697\pi\) |
0.891263 | − | 0.453487i | \(-0.149820\pi\) | |||||||
\(168\) | −10.3687 | − | 3.49362i | −0.799963 | − | 0.269539i | ||||
\(169\) | 14.4105 | − | 10.9546i | 1.10850 | − | 0.842658i | ||||
\(170\) | −0.461388 | + | 0.437050i | −0.0353868 | + | 0.0335202i | ||||
\(171\) | 0.249071 | + | 4.59385i | 0.0190470 | + | 0.351301i | ||||
\(172\) | −0.278116 | + | 1.00168i | −0.0212062 | + | 0.0763777i | ||||
\(173\) | −4.03516 | + | 1.86687i | −0.306788 | + | 0.141935i | −0.567242 | − | 0.823551i | \(-0.691990\pi\) |
0.260454 | + | 0.965486i | \(0.416128\pi\) | |||||||
\(174\) | −0.351864 | + | 2.14628i | −0.0266748 | + | 0.162709i | ||||
\(175\) | −17.4045 | + | 3.83101i | −1.31565 | + | 0.289597i | ||||
\(176\) | 11.1938 | 0.843766 | ||||||||
\(177\) | 0.746535 | − | 7.64478i | 0.0561130 | − | 0.574617i | ||||
\(178\) | 24.2451 | 1.81724 | ||||||||
\(179\) | −15.3849 | + | 3.38648i | −1.14992 | + | 0.253117i | −0.748729 | − | 0.662876i | \(-0.769336\pi\) |
−0.401194 | + | 0.915993i | \(0.631405\pi\) | |||||||
\(180\) | 0.0155497 | − | 0.0948491i | 0.00115901 | − | 0.00706963i | ||||
\(181\) | 10.0776 | − | 4.66238i | 0.749059 | − | 0.346552i | −0.00793918 | − | 0.999968i | \(-0.502527\pi\) |
0.756998 | + | 0.653417i | \(0.226665\pi\) | |||||||
\(182\) | −7.28410 | + | 26.2350i | −0.539934 | + | 1.94466i | ||||
\(183\) | −0.153289 | − | 2.82724i | −0.0113314 | − | 0.208996i | ||||
\(184\) | −14.3650 | + | 13.6072i | −1.05900 | + | 1.00314i | ||||
\(185\) | 2.94463 | − | 2.23845i | 0.216494 | − | 0.164574i | ||||
\(186\) | 10.6206 | + | 3.57850i | 0.778741 | + | 0.262388i | ||||
\(187\) | 0.210548 | − | 3.88332i | 0.0153968 | − | 0.283977i | ||||
\(188\) | −0.765900 | − | 0.901687i | −0.0558590 | − | 0.0657623i | ||||
\(189\) | 0.984836 | + | 3.54706i | 0.0716363 | + | 0.258011i | ||||
\(190\) | 2.30513 | − | 0.776689i | 0.167232 | − | 0.0563470i | ||||
\(191\) | −14.5045 | + | 21.3925i | −1.04951 | + | 1.54790i | −0.231381 | + | 0.972863i | \(0.574324\pi\) |
−0.818124 | + | 0.575042i | \(0.804986\pi\) | |||||||
\(192\) | 7.91211 | + | 3.66053i | 0.571007 | + | 0.264176i | ||||
\(193\) | −6.03315 | + | 7.10278i | −0.434276 | + | 0.511269i | −0.935150 | − | 0.354251i | \(-0.884736\pi\) |
0.500875 | + | 0.865520i | \(0.333012\pi\) | |||||||
\(194\) | 5.59892 | + | 5.30358i | 0.401979 | + | 0.380775i | ||||
\(195\) | −2.21028 | − | 0.240383i | −0.158282 | − | 0.0172142i | ||||
\(196\) | 0.584639 | + | 1.46733i | 0.0417600 | + | 0.104810i | ||||
\(197\) | −1.09864 | − | 6.70138i | −0.0782745 | − | 0.477454i | −0.996653 | − | 0.0817501i | \(-0.973949\pi\) |
0.918378 | − | 0.395704i | \(-0.129499\pi\) | |||||||
\(198\) | −2.40808 | − | 3.55165i | −0.171135 | − | 0.252405i | ||||
\(199\) | 1.11159 | + | 0.845007i | 0.0787984 | + | 0.0599010i | 0.643832 | − | 0.765167i | \(-0.277344\pi\) |
−0.565033 | + | 0.825068i | \(0.691137\pi\) | |||||||
\(200\) | 14.3044 | − | 1.55569i | 1.01147 | − | 0.110004i | ||||
\(201\) | −4.16268 | − | 7.85164i | −0.293613 | − | 0.553812i | ||||
\(202\) | 18.1060 | + | 10.8940i | 1.27394 | + | 0.766503i | ||||
\(203\) | 5.17280 | − | 3.11237i | 0.363059 | − | 0.218446i | ||||
\(204\) | 0.135740 | − | 0.256032i | 0.00950368 | − | 0.0179258i | ||||
\(205\) | 1.32502 | − | 3.32555i | 0.0925435 | − | 0.232267i | ||||
\(206\) | −7.63961 | − | 1.68161i | −0.532277 | − | 0.117163i | ||||
\(207\) | 6.50153 | + | 1.43109i | 0.451888 | + | 0.0994680i | ||||
\(208\) | 7.14154 | − | 17.9239i | 0.495177 | − | 1.24280i | ||||
\(209\) | −6.97236 | + | 13.1513i | −0.482289 | + | 0.909693i | ||||
\(210\) | 1.66776 | − | 1.00346i | 0.115087 | − | 0.0692453i | ||||
\(211\) | −12.9323 | − | 7.78113i | −0.890299 | − | 0.535675i | −0.00462874 | − | 0.999989i | \(-0.501473\pi\) |
−0.885671 | + | 0.464314i | \(0.846301\pi\) | |||||||
\(212\) | 0.300059 | + | 0.565971i | 0.0206081 | + | 0.0388710i | ||||
\(213\) | −1.49370 | + | 0.162450i | −0.102347 | + | 0.0111309i | ||||
\(214\) | −8.51308 | − | 6.47148i | −0.581942 | − | 0.442381i | ||||
\(215\) | −0.964700 | − | 1.42283i | −0.0657920 | − | 0.0970360i | ||||
\(216\) | −0.480852 | − | 2.93307i | −0.0327178 | − | 0.199570i | ||||
\(217\) | −11.5143 | − | 28.8986i | −0.781640 | − | 1.96177i | ||||
\(218\) | −14.5454 | − | 1.58190i | −0.985137 | − | 0.107140i | ||||
\(219\) | −6.45921 | − | 6.11849i | −0.436473 | − | 0.413449i | ||||
\(220\) | 0.201325 | − | 0.237018i | 0.0135733 | − | 0.0159797i | ||||
\(221\) | −6.08378 | − | 2.81465i | −0.409239 | − | 0.189334i | ||||
\(222\) | 6.90536 | − | 10.1846i | 0.463457 | − | 0.683548i | ||||
\(223\) | −9.35816 | + | 3.15313i | −0.626669 | + | 0.211149i | −0.614677 | − | 0.788779i | \(-0.710714\pi\) |
−0.0119916 | + | 0.999928i | \(0.503817\pi\) | |||||||
\(224\) | −1.33550 | − | 4.81005i | −0.0892321 | − | 0.321385i | ||||
\(225\) | −3.13404 | − | 3.68968i | −0.208936 | − | 0.245978i | ||||
\(226\) | −0.926682 | + | 17.0916i | −0.0616419 | + | 1.13692i | ||||
\(227\) | −14.5320 | − | 4.89639i | −0.964521 | − | 0.324985i | −0.207397 | − | 0.978257i | \(-0.566499\pi\) |
−0.757123 | + | 0.653272i | \(0.773396\pi\) | |||||||
\(228\) | −0.882999 | + | 0.671238i | −0.0584780 | + | 0.0444538i | ||||
\(229\) | 13.4304 | − | 12.7220i | 0.887507 | − | 0.840692i | −0.100526 | − | 0.994934i | \(-0.532052\pi\) |
0.988033 | + | 0.154243i | \(0.0492938\pi\) | |||||||
\(230\) | −0.190560 | − | 3.51467i | −0.0125651 | − | 0.231750i | ||||
\(231\) | −3.18643 | + | 11.4765i | −0.209652 | + | 0.755098i | ||||
\(232\) | −4.42372 | + | 2.04663i | −0.290431 | + | 0.134368i | ||||
\(233\) | 3.39174 | − | 20.6887i | 0.222200 | − | 1.35536i | −0.606239 | − | 0.795282i | \(-0.707323\pi\) |
0.828439 | − | 0.560079i | \(-0.189229\pi\) | |||||||
\(234\) | −7.22334 | + | 1.58998i | −0.472204 | + | 0.103940i | ||||
\(235\) | 1.95631 | 0.127615 | ||||||||
\(236\) | 1.62651 | − | 0.885349i | 0.105877 | − | 0.0576313i | ||||
\(237\) | 1.70676 | 0.110866 | ||||||||
\(238\) | 5.73115 | − | 1.26152i | 0.371495 | − | 0.0817722i | ||||
\(239\) | 3.50730 | − | 21.3936i | 0.226868 | − | 1.38384i | −0.590182 | − | 0.807270i | \(-0.700944\pi\) |
0.817051 | − | 0.576566i | \(-0.195608\pi\) | |||||||
\(240\) | −1.25179 | + | 0.579138i | −0.0808025 | + | 0.0373832i | ||||
\(241\) | −7.14873 | + | 25.7474i | −0.460490 | + | 1.65854i | 0.260411 | + | 0.965498i | \(0.416142\pi\) |
−0.720901 | + | 0.693038i | \(0.756272\pi\) | |||||||
\(242\) | 0.0381662 | + | 0.703934i | 0.00245342 | + | 0.0452506i | ||||
\(243\) | −0.725995 | + | 0.687699i | −0.0465726 | + | 0.0441159i | ||||
\(244\) | 0.543433 | − | 0.413107i | 0.0347898 | − | 0.0264465i | ||||
\(245\) | −2.47515 | − | 0.833976i | −0.158132 | − | 0.0532808i | ||||
\(246\) | 0.644733 | − | 11.8914i | 0.0411067 | − | 0.758168i | ||||
\(247\) | 16.6099 | + | 19.5547i | 1.05687 | + | 1.24424i | ||||
\(248\) | 6.71939 | + | 24.2010i | 0.426681 | + | 1.53677i | ||||
\(249\) | −5.38478 | + | 1.81434i | −0.341246 | + | 0.114979i | ||||
\(250\) | −2.91999 | + | 4.30667i | −0.184677 | + | 0.272378i | ||||
\(251\) | 15.4919 | + | 7.16731i | 0.977839 | + | 0.452397i | 0.842673 | − | 0.538426i | \(-0.180981\pi\) |
0.135167 | + | 0.990823i | \(0.456843\pi\) | |||||||
\(252\) | −0.574565 | + | 0.676431i | −0.0361942 | + | 0.0426111i | ||||
\(253\) | 15.6374 | + | 14.8125i | 0.983115 | + | 0.931256i | ||||
\(254\) | 4.69502 | + | 0.510614i | 0.294592 | + | 0.0320388i | ||||
\(255\) | 0.177368 | + | 0.445159i | 0.0111072 | + | 0.0278769i | ||||
\(256\) | 0.921953 | + | 5.62367i | 0.0576221 | + | 0.351479i | ||||
\(257\) | 7.67195 | + | 11.3153i | 0.478563 | + | 0.705828i | 0.987961 | − | 0.154703i | \(-0.0494421\pi\) |
−0.509398 | + | 0.860531i | \(0.670132\pi\) | |||||||
\(258\) | −4.55260 | − | 3.46080i | −0.283433 | − | 0.215460i | ||||
\(259\) | −33.9545 | + | 3.69278i | −2.10983 | + | 0.229458i | ||||
\(260\) | −0.251077 | − | 0.473582i | −0.0155712 | − | 0.0293703i | ||||
\(261\) | 1.40518 | + | 0.845468i | 0.0869784 | + | 0.0523332i | ||||
\(262\) | −16.9649 | + | 10.2075i | −1.04810 | + | 0.630620i | ||||
\(263\) | 3.43469 | − | 6.47851i | 0.211792 | − | 0.399482i | −0.754742 | − | 0.656022i | \(-0.772238\pi\) |
0.966534 | + | 0.256540i | \(0.0825826\pi\) | |||||||
\(264\) | 3.55948 | − | 8.93361i | 0.219071 | − | 0.549826i | ||||
\(265\) | −1.03451 | − | 0.227713i | −0.0635496 | − | 0.0139883i | ||||
\(266\) | −21.9359 | − | 4.82846i | −1.34498 | − | 0.296052i | ||||
\(267\) | 6.76652 | − | 16.9827i | 0.414104 | − | 1.03932i | ||||
\(268\) | 1.00359 | − | 1.89296i | 0.0613038 | − | 0.115631i | ||||
\(269\) | 4.28700 | − | 2.57940i | 0.261383 | − | 0.157269i | −0.378830 | − | 0.925466i | \(-0.623674\pi\) |
0.640213 | + | 0.768197i | \(0.278846\pi\) | |||||||
\(270\) | 0.453044 | + | 0.272588i | 0.0275714 | + | 0.0165892i | ||||
\(271\) | 8.33827 | + | 15.7276i | 0.506514 | + | 0.955387i | 0.996495 | + | 0.0836535i | \(0.0266589\pi\) |
−0.489981 | + | 0.871733i | \(0.662996\pi\) | |||||||
\(272\) | −4.13413 | + | 0.449614i | −0.250668 | + | 0.0272618i | ||||
\(273\) | 16.3436 | + | 12.4241i | 0.989161 | + | 0.751941i | ||||
\(274\) | −8.50638 | − | 12.5460i | −0.513889 | − | 0.757930i | ||||
\(275\) | −2.53403 | − | 15.4569i | −0.152808 | − | 0.932087i | ||||
\(276\) | 0.594067 | + | 1.49100i | 0.0357586 | + | 0.0897474i | ||||
\(277\) | 5.51977 | + | 0.600311i | 0.331651 | + | 0.0360692i | 0.272430 | − | 0.962176i | \(-0.412173\pi\) |
0.0592210 | + | 0.998245i | \(0.481138\pi\) | |||||||
\(278\) | 3.93628 | + | 3.72864i | 0.236082 | + | 0.223629i | ||||
\(279\) | 5.47069 | − | 6.44059i | 0.327522 | − | 0.385588i | ||||
\(280\) | 3.95884 | + | 1.83156i | 0.236586 | + | 0.109456i | ||||
\(281\) | −14.8223 | + | 21.8613i | −0.884224 | + | 1.30413i | 0.0676705 | + | 0.997708i | \(0.478443\pi\) |
−0.951895 | + | 0.306425i | \(0.900867\pi\) | |||||||
\(282\) | 6.16734 | − | 2.07802i | 0.367259 | − | 0.123744i | ||||
\(283\) | −2.66919 | − | 9.61354i | −0.158667 | − | 0.571466i | −0.999543 | − | 0.0302380i | \(-0.990373\pi\) |
0.840876 | − | 0.541228i | \(-0.182040\pi\) | |||||||
\(284\) | −0.234511 | − | 0.276087i | −0.0139157 | − | 0.0163828i | ||||
\(285\) | 0.0992965 | − | 1.83142i | 0.00588182 | − | 0.108484i | ||||
\(286\) | −22.6779 | − | 7.64107i | −1.34097 | − | 0.451826i | ||||
\(287\) | −26.3152 | + | 20.0043i | −1.55334 | + | 1.18082i | ||||
\(288\) | 0.984499 | − | 0.932567i | 0.0580121 | − | 0.0549520i | ||||
\(289\) | −0.842143 | − | 15.5324i | −0.0495378 | − | 0.913671i | ||||
\(290\) | 0.231966 | − | 0.835467i | 0.0136215 | − | 0.0490603i | ||||
\(291\) | 5.27754 | − | 2.44165i | 0.309375 | − | 0.143132i | ||||
\(292\) | 0.347022 | − | 2.11674i | 0.0203079 | − | 0.123873i | ||||
\(293\) | −11.1971 | + | 2.46467i | −0.654143 | + | 0.143988i | −0.529628 | − | 0.848230i | \(-0.677668\pi\) |
−0.124515 | + | 0.992218i | \(0.539737\pi\) | |||||||
\(294\) | −8.68888 | −0.506746 | ||||||||
\(295\) | −0.625391 | + | 2.99768i | −0.0364117 | + | 0.174532i | ||||
\(296\) | 27.5764 | 1.60285 | ||||||||
\(297\) | −3.15985 | + | 0.695536i | −0.183353 | + | 0.0403591i | ||||
\(298\) | −0.338106 | + | 2.06235i | −0.0195859 | + | 0.119469i | ||||
\(299\) | 33.6948 | − | 15.5889i | 1.94862 | − | 0.901528i | ||||
\(300\) | 0.312243 | − | 1.12460i | 0.0180274 | − | 0.0649287i | ||||
\(301\) | 0.859366 | + | 15.8501i | 0.0495330 | + | 0.913583i | ||||
\(302\) | −0.965500 | + | 0.914570i | −0.0555583 | + | 0.0526276i | ||||
\(303\) | 12.6840 | − | 9.64215i | 0.728679 | − | 0.553927i | ||||
\(304\) | 15.0835 | + | 5.08221i | 0.865096 | + | 0.291485i | ||||
\(305\) | −0.0611111 | + | 1.12713i | −0.00349921 | + | 0.0645392i | ||||
\(306\) | 1.03201 | + | 1.21498i | 0.0589962 | + | 0.0694557i | ||||
\(307\) | −1.66853 | − | 6.00952i | −0.0952283 | − | 0.342981i | 0.900552 | − | 0.434748i | \(-0.143162\pi\) |
−0.995781 | + | 0.0917665i | \(0.970749\pi\) | |||||||
\(308\) | −2.72124 | + | 0.916892i | −0.155057 | + | 0.0522448i | ||||
\(309\) | −3.31003 | + | 4.88192i | −0.188301 | + | 0.277723i | ||||
\(310\) | −4.05502 | − | 1.87605i | −0.230310 | − | 0.106553i | ||||
\(311\) | −9.90972 | + | 11.6666i | −0.561929 | + | 0.661554i | −0.967607 | − | 0.252463i | \(-0.918760\pi\) |
0.405678 | + | 0.914016i | \(0.367035\pi\) | |||||||
\(312\) | −12.0339 | − | 11.3991i | −0.681284 | − | 0.645347i | ||||
\(313\) | −24.1890 | − | 2.63071i | −1.36724 | − | 0.148696i | −0.605122 | − | 0.796133i | \(-0.706876\pi\) |
−0.762120 | + | 0.647436i | \(0.775841\pi\) | |||||||
\(314\) | −11.0185 | − | 27.6543i | −0.621809 | − | 1.56062i | ||||
\(315\) | −0.237429 | − | 1.44826i | −0.0133776 | − | 0.0816000i | ||||
\(316\) | 0.230921 | + | 0.340583i | 0.0129903 | + | 0.0191593i | ||||
\(317\) | 0.435223 | + | 0.330848i | 0.0244446 | + | 0.0185823i | 0.617325 | − | 0.786708i | \(-0.288216\pi\) |
−0.592881 | + | 0.805290i | \(0.702009\pi\) | |||||||
\(318\) | −3.50322 | + | 0.380999i | −0.196451 | + | 0.0213653i | ||||
\(319\) | 2.48536 | + | 4.68788i | 0.139153 | + | 0.262471i | ||||
\(320\) | −2.97802 | − | 1.79182i | −0.166477 | − | 0.100166i | ||||
\(321\) | −6.90891 | + | 4.15696i | −0.385618 | + | 0.232019i | ||||
\(322\) | −15.2240 | + | 28.7156i | −0.848403 | + | 1.60026i | ||||
\(323\) | 2.04681 | − | 5.13711i | 0.113888 | − | 0.285837i | ||||
\(324\) | −0.235455 | − | 0.0518276i | −0.0130808 | − | 0.00287931i | ||||
\(325\) | −26.3668 | − | 5.80377i | −1.46257 | − | 0.321935i | ||||
\(326\) | 2.75506 | − | 6.91467i | 0.152589 | − | 0.382968i | ||||
\(327\) | −5.16751 | + | 9.74696i | −0.285764 | + | 0.539008i | ||||
\(328\) | 22.8685 | − | 13.7595i | 1.26270 | − | 0.759743i | ||||
\(329\) | −15.4785 | − | 9.31311i | −0.853358 | − | 0.513448i | ||||
\(330\) | 0.801305 | + | 1.51142i | 0.0441104 | + | 0.0832010i | ||||
\(331\) | 5.72953 | − | 0.623124i | 0.314923 | − | 0.0342500i | 0.0507074 | − | 0.998714i | \(-0.483852\pi\) |
0.264216 | + | 0.964464i | \(0.414887\pi\) | |||||||
\(332\) | −1.09060 | − | 0.829050i | −0.0598542 | − | 0.0455000i | ||||
\(333\) | −5.20673 | − | 7.67935i | −0.285327 | − | 0.420826i | ||||
\(334\) | 2.77870 | + | 16.9493i | 0.152044 | + | 0.927425i | ||||
\(335\) | 1.31136 | + | 3.29127i | 0.0716473 | + | 0.179821i | ||||
\(336\) | 12.6613 | + | 1.37700i | 0.690730 | + | 0.0751214i | ||||
\(337\) | 14.7819 | + | 14.0022i | 0.805221 | + | 0.762746i | 0.974874 | − | 0.222758i | \(-0.0715060\pi\) |
−0.169653 | + | 0.985504i | \(0.554265\pi\) | |||||||
\(338\) | −15.5417 | + | 18.2971i | −0.845358 | + | 0.995233i | ||||
\(339\) | 11.7134 | + | 5.41919i | 0.636183 | + | 0.294330i | ||||
\(340\) | −0.0648336 | + | 0.0956224i | −0.00351609 | + | 0.00518585i | ||||
\(341\) | 25.9101 | − | 8.73013i | 1.40311 | − | 0.472763i | ||||
\(342\) | −1.63232 | − | 5.87909i | −0.0882658 | − | 0.317905i | ||||
\(343\) | −1.06880 | − | 1.25829i | −0.0577099 | − | 0.0679414i | ||||
\(344\) | 0.693849 | − | 12.7973i | 0.0374098 | − | 0.689984i | ||||
\(345\) | −2.51507 | − | 0.847425i | −0.135407 | − | 0.0456238i | ||||
\(346\) | 4.69423 | − | 3.56846i | 0.252363 | − | 0.191841i | ||||
\(347\) | 9.15757 | − | 8.67451i | 0.491604 | − | 0.465672i | −0.401282 | − | 0.915955i | \(-0.631435\pi\) |
0.892886 | + | 0.450282i | \(0.148677\pi\) | |||||||
\(348\) | 0.0214050 | + | 0.394792i | 0.00114743 | + | 0.0211630i | ||||
\(349\) | 4.36898 | − | 15.7356i | 0.233866 | − | 0.842310i | −0.749703 | − | 0.661775i | \(-0.769803\pi\) |
0.983569 | − | 0.180535i | \(-0.0577828\pi\) | |||||||
\(350\) | 21.4506 | − | 9.92410i | 1.14658 | − | 0.530465i | ||||
\(351\) | −0.902237 | + | 5.50340i | −0.0481579 | + | 0.293750i | ||||
\(352\) | 4.28497 | − | 0.943194i | 0.228390 | − | 0.0502724i | ||||
\(353\) | −13.1930 | −0.702193 | −0.351096 | − | 0.936339i | \(-0.614191\pi\) | ||||
−0.351096 | + | 0.936339i | \(0.614191\pi\) | |||||||
\(354\) | 1.21261 | + | 10.1146i | 0.0644494 | + | 0.537585i | ||||
\(355\) | 0.599001 | 0.0317917 | ||||||||
\(356\) | 4.30437 | − | 0.947463i | 0.228131 | − | 0.0502154i | ||||
\(357\) | 0.715854 | − | 4.36651i | 0.0378870 | − | 0.231100i | ||||
\(358\) | 18.9615 | − | 8.77254i | 1.00215 | − | 0.463643i | ||||
\(359\) | −6.96495 | + | 25.0855i | −0.367596 | + | 1.32396i | 0.516353 | + | 0.856376i | \(0.327289\pi\) |
−0.883948 | + | 0.467584i | \(0.845124\pi\) | |||||||
\(360\) | 0.0641507 | + | 1.18319i | 0.00338104 | + | 0.0623595i | ||||
\(361\) | −1.57214 | + | 1.48921i | −0.0827444 | + | 0.0783796i | ||||
\(362\) | −11.7235 | + | 8.91199i | −0.616175 | + | 0.468404i | ||||
\(363\) | 0.503729 | + | 0.169726i | 0.0264389 | + | 0.00890831i | ||||
\(364\) | −0.267964 | + | 4.94230i | −0.0140451 | + | 0.259047i | ||||
\(365\) | 2.29625 | + | 2.70335i | 0.120191 | + | 0.141500i | ||||
\(366\) | 1.00460 | + | 3.61823i | 0.0525111 | + | 0.189128i | ||||
\(367\) | −9.74048 | + | 3.28195i | −0.508449 | + | 0.171316i | −0.561822 | − | 0.827258i | \(-0.689899\pi\) |
0.0533729 | + | 0.998575i | \(0.483003\pi\) | |||||||
\(368\) | 12.9251 | − | 19.0631i | 0.673769 | − | 0.993734i | ||||
\(369\) | −8.14951 | − | 3.77036i | −0.424246 | − | 0.196277i | ||||
\(370\) | −3.17580 | + | 3.73884i | −0.165102 | + | 0.194373i | ||||
\(371\) | 7.10113 | + | 6.72655i | 0.368672 | + | 0.349225i | ||||
\(372\) | 2.02538 | + | 0.220274i | 0.105011 | + | 0.0114207i | ||||
\(373\) | −1.83540 | − | 4.60651i | −0.0950336 | − | 0.238516i | 0.873773 | − | 0.486334i | \(-0.161666\pi\) |
−0.968807 | + | 0.247817i | \(0.920287\pi\) | |||||||
\(374\) | 0.834436 | + | 5.08983i | 0.0431476 | + | 0.263189i | ||||
\(375\) | 2.20171 | + | 3.24728i | 0.113696 | + | 0.167689i | ||||
\(376\) | 11.6111 | + | 8.82649i | 0.598794 | + | 0.455192i | ||||
\(377\) | 9.09202 | − | 0.988817i | 0.468263 | − | 0.0509267i | ||||
\(378\) | −2.28686 | − | 4.31348i | −0.117624 | − | 0.221862i | ||||
\(379\) | 29.9657 | + | 18.0298i | 1.53923 | + | 0.926127i | 0.996263 | + | 0.0863760i | \(0.0275286\pi\) |
0.542972 | + | 0.839751i | \(0.317299\pi\) | |||||||
\(380\) | 0.378892 | − | 0.227972i | 0.0194367 | − | 0.0116947i | ||||
\(381\) | 1.66799 | − | 3.14616i | 0.0854538 | − | 0.161183i | ||||
\(382\) | 12.6876 | − | 31.8435i | 0.649154 | − | 1.62925i | ||||
\(383\) | −3.81391 | − | 0.839504i | −0.194882 | − | 0.0428967i | 0.116457 | − | 0.993196i | \(-0.462846\pi\) |
−0.311339 | + | 0.950299i | \(0.600777\pi\) | |||||||
\(384\) | −8.64291 | − | 1.90245i | −0.441057 | − | 0.0970839i | ||||
\(385\) | 1.75756 | − | 4.41114i | 0.0895734 | − | 0.224812i | ||||
\(386\) | 5.78931 | − | 10.9198i | 0.294668 | − | 0.555803i | ||||
\(387\) | −3.69473 | + | 2.22305i | −0.187814 | + | 0.113004i | ||||
\(388\) | 1.20127 | + | 0.722778i | 0.0609850 | + | 0.0366935i | ||||
\(389\) | −2.59750 | − | 4.89940i | −0.131698 | − | 0.248410i | 0.808889 | − | 0.587962i | \(-0.200069\pi\) |
−0.940587 | + | 0.339552i | \(0.889725\pi\) | |||||||
\(390\) | 2.93136 | − | 0.318805i | 0.148435 | − | 0.0161433i | ||||
\(391\) | −6.37021 | − | 4.84250i | −0.322155 | − | 0.244896i | ||||
\(392\) | −10.9278 | − | 16.1172i | −0.551935 | − | 0.814044i | ||||
\(393\) | 2.41520 | + | 14.7321i | 0.121831 | + | 0.743134i | ||||
\(394\) | 3.33357 | + | 8.36662i | 0.167943 | + | 0.421504i | ||||
\(395\) | −0.676442 | − | 0.0735675i | −0.0340355 | − | 0.00370158i | ||||
\(396\) | −0.566314 | − | 0.536441i | −0.0284583 | − | 0.0269572i | ||||
\(397\) | −23.0528 | + | 27.1399i | −1.15699 | + | 1.36211i | −0.236362 | + | 0.971665i | \(0.575955\pi\) |
−0.920626 | + | 0.390446i | \(0.872321\pi\) | |||||||
\(398\) | −1.68068 | − | 0.777564i | −0.0842447 | − | 0.0389758i | ||||
\(399\) | −9.50421 | + | 14.0177i | −0.475806 | + | 0.701761i | ||||
\(400\) | −15.8719 | + | 5.34785i | −0.793593 | + | 0.267393i | ||||
\(401\) | −0.101462 | − | 0.365432i | −0.00506676 | − | 0.0182488i | 0.960973 | − | 0.276641i | \(-0.0892212\pi\) |
−0.966040 | + | 0.258392i | \(0.916807\pi\) | |||||||
\(402\) | 7.63015 | + | 8.98291i | 0.380557 | + | 0.448027i | ||||
\(403\) | 2.55140 | − | 47.0578i | 0.127094 | − | 2.34412i | ||||
\(404\) | 3.64020 | + | 1.22653i | 0.181107 | + | 0.0610219i | ||||
\(405\) | 0.317376 | − | 0.241263i | 0.0157705 | − | 0.0119885i | ||||
\(406\) | −5.81263 | + | 5.50602i | −0.288476 | + | 0.273259i | ||||
\(407\) | −1.62520 | − | 29.9751i | −0.0805583 | − | 1.48581i | ||||
\(408\) | −0.955765 | + | 3.44235i | −0.0473174 | + | 0.170422i | ||||
\(409\) | 8.38123 | − | 3.87757i | 0.414425 | − | 0.191734i | −0.201586 | − | 0.979471i | \(-0.564610\pi\) |
0.616011 | + | 0.787737i | \(0.288747\pi\) | |||||||
\(410\) | −0.768088 | + | 4.68513i | −0.0379331 | + | 0.231382i | ||||
\(411\) | −11.1620 | + | 2.45694i | −0.550580 | + | 0.121192i | ||||
\(412\) | −1.42202 | −0.0700579 | ||||||||
\(413\) | 19.2188 | − | 20.7407i | 0.945694 | − | 1.02059i | ||||
\(414\) | −8.82900 | −0.433921 | ||||||||
\(415\) | 2.21235 | − | 0.486976i | 0.108600 | − | 0.0239047i | ||||
\(416\) | 1.22349 | − | 7.46299i | 0.0599867 | − | 0.365903i | ||||
\(417\) | 3.71033 | − | 1.71658i | 0.181696 | − | 0.0840615i | ||||
\(418\) | 5.28137 | − | 19.0218i | 0.258320 | − | 0.930386i | ||||
\(419\) | 1.64079 | + | 30.2626i | 0.0801579 | + | 1.47843i | 0.711371 | + | 0.702817i | \(0.248075\pi\) |
−0.631213 | + | 0.775610i | \(0.717443\pi\) | |||||||
\(420\) | 0.256874 | − | 0.243324i | 0.0125342 | − | 0.0118730i | ||||
\(421\) | 4.09321 | − | 3.11157i | 0.199491 | − | 0.151649i | −0.500660 | − | 0.865644i | \(-0.666909\pi\) |
0.700151 | + | 0.713995i | \(0.253116\pi\) | |||||||
\(422\) | 18.9688 | + | 6.39133i | 0.923387 | + | 0.311125i | ||||
\(423\) | 0.265666 | − | 4.89992i | 0.0129171 | − | 0.238242i | ||||
\(424\) | −5.11263 | − | 6.01905i | −0.248291 | − | 0.292311i | ||||
\(425\) | 1.55672 | + | 5.60680i | 0.0755120 | + | 0.271970i | ||||
\(426\) | 1.88838 | − | 0.636268i | 0.0914921 | − | 0.0308273i | ||||
\(427\) | 5.84928 | − | 8.62704i | 0.283066 | − | 0.417492i | ||||
\(428\) | −1.76427 | − | 0.816240i | −0.0852794 | − | 0.0394545i | ||||
\(429\) | −11.6814 | + | 13.7524i | −0.563984 | + | 0.663973i | ||||
\(430\) | 1.65516 | + | 1.56785i | 0.0798190 | + | 0.0756085i | ||||
\(431\) | 32.9582 | + | 3.58442i | 1.58754 | + | 0.172655i | 0.858864 | − | 0.512204i | \(-0.171171\pi\) |
0.728675 | + | 0.684860i | \(0.240137\pi\) | |||||||
\(432\) | 1.28056 | + | 3.21397i | 0.0616112 | + | 0.154632i | ||||
\(433\) | 5.95312 | + | 36.3124i | 0.286089 | + | 1.74506i | 0.604038 | + | 0.796956i | \(0.293558\pi\) |
−0.317949 | + | 0.948108i | \(0.602994\pi\) | |||||||
\(434\) | 23.1527 | + | 34.1477i | 1.11137 | + | 1.63914i | ||||
\(435\) | −0.520472 | − | 0.395653i | −0.0249547 | − | 0.0189701i | ||||
\(436\) | −2.64415 | + | 0.287568i | −0.126632 | + | 0.0137720i | ||||
\(437\) | 14.3459 | + | 27.0593i | 0.686259 | + | 1.29442i | ||||
\(438\) | 10.1106 | + | 6.08332i | 0.483101 | + | 0.290672i | ||||
\(439\) | 20.3645 | − | 12.2529i | 0.971943 | − | 0.584798i | 0.0613557 | − | 0.998116i | \(-0.480458\pi\) |
0.910587 | + | 0.413317i | \(0.135630\pi\) | |||||||
\(440\) | −1.79580 | + | 3.38723i | −0.0856113 | + | 0.161480i | ||||
\(441\) | −2.42497 | + | 6.08621i | −0.115475 | + | 0.289820i | ||||
\(442\) | 8.68236 | + | 1.91113i | 0.412978 | + | 0.0909033i | ||||
\(443\) | 6.39002 | + | 1.40655i | 0.303599 | + | 0.0668272i | 0.364157 | − | 0.931337i | \(-0.381357\pi\) |
−0.0605583 | + | 0.998165i | \(0.519288\pi\) | |||||||
\(444\) | 0.827948 | − | 2.07799i | 0.0392927 | − | 0.0986171i | ||||
\(445\) | −3.41379 | + | 6.43909i | −0.161829 | + | 0.305242i | ||||
\(446\) | 11.2220 | − | 6.75207i | 0.531378 | − | 0.319720i | ||||
\(447\) | 1.35023 | + | 0.812409i | 0.0638639 | + | 0.0384256i | ||||
\(448\) | 15.0324 | + | 28.3541i | 0.710214 | + | 1.33961i | ||||
\(449\) | −29.2095 | + | 3.17672i | −1.37848 | + | 0.149919i | −0.767155 | − | 0.641461i | \(-0.778328\pi\) |
−0.611324 | + | 0.791380i | \(0.709363\pi\) | |||||||
\(450\) | 5.11124 | + | 3.88546i | 0.240946 | + | 0.183163i | ||||
\(451\) | −16.3041 | − | 24.0468i | −0.767731 | − | 1.13232i | ||||
\(452\) | 0.503398 | + | 3.07059i | 0.0236779 | + | 0.144429i | ||||
\(453\) | 0.371160 | + | 0.931540i | 0.0174386 | + | 0.0437676i | ||||
\(454\) | 20.2182 | + | 2.19887i | 0.948889 | + | 0.103198i | ||||
\(455\) | −5.94195 | − | 5.62851i | −0.278563 | − | 0.263869i | ||||
\(456\) | 8.85236 | − | 10.4218i | 0.414550 | − | 0.488046i | ||||
\(457\) | 14.8060 | + | 6.84999i | 0.692596 | + | 0.320429i | 0.734419 | − | 0.678696i | \(-0.237455\pi\) |
−0.0418233 | + | 0.999125i | \(0.513317\pi\) | |||||||
\(458\) | −13.7684 | + | 20.3069i | −0.643357 | + | 0.948881i | ||||
\(459\) | 1.13907 | − | 0.383796i | 0.0531671 | − | 0.0179141i | ||||
\(460\) | −0.171180 | − | 0.616533i | −0.00798129 | − | 0.0287460i | ||||
\(461\) | 2.99386 | + | 3.52464i | 0.139438 | + | 0.164159i | 0.827448 | − | 0.561542i | \(-0.189792\pi\) |
−0.688010 | + | 0.725701i | \(0.741516\pi\) | |||||||
\(462\) | 0.855197 | − | 15.7732i | 0.0397874 | − | 0.733835i | ||||
\(463\) | −0.0290069 | − | 0.00977355i | −0.00134806 | − | 0.000454215i | 0.318627 | − | 0.947880i | \(-0.396778\pi\) |
−0.319975 | + | 0.947426i | \(0.603675\pi\) | |||||||
\(464\) | 4.51673 | − | 3.43353i | 0.209684 | − | 0.159398i | ||||
\(465\) | −2.44581 | + | 2.31680i | −0.113422 | + | 0.107439i | ||||
\(466\) | 1.50530 | + | 27.7636i | 0.0697317 | + | 1.28613i | ||||
\(467\) | −0.983326 | + | 3.54162i | −0.0455029 | + | 0.163887i | −0.982811 | − | 0.184616i | \(-0.940896\pi\) |
0.937308 | + | 0.348502i | \(0.113310\pi\) | |||||||
\(468\) | −1.22027 | + | 0.564556i | −0.0564069 | + | 0.0260966i | ||||
\(469\) | 5.29264 | − | 32.2837i | 0.244391 | − | 1.49072i | ||||
\(470\) | −2.53387 | + | 0.557747i | −0.116879 | + | 0.0257270i | ||||
\(471\) | −22.4459 | −1.03425 | ||||||||
\(472\) | −17.2368 | + | 14.9701i | −0.793387 | + | 0.689057i | ||||
\(473\) | −13.9513 | −0.641483 | ||||||||
\(474\) | −2.21065 | + | 0.486602i | −0.101539 | + | 0.0223504i | ||||
\(475\) | 3.60317 | − | 21.9784i | 0.165325 | − | 1.00844i | ||||
\(476\) | 0.968186 | − | 0.447930i | 0.0443767 | − | 0.0205309i | ||||
\(477\) | −0.710836 | + | 2.56020i | −0.0325469 | + | 0.117223i | ||||
\(478\) | 1.55659 | + | 28.7096i | 0.0711967 | + | 1.31315i | ||||
\(479\) | −17.9868 | + | 17.0380i | −0.821836 | + | 0.778484i | −0.977858 | − | 0.209269i | \(-0.932891\pi\) |
0.156022 | + | 0.987754i | \(0.450133\pi\) | |||||||
\(480\) | −0.430383 | + | 0.327169i | −0.0196442 | + | 0.0149332i | ||||
\(481\) | −49.0340 | − | 16.5215i | −2.23576 | − | 0.753314i | ||||
\(482\) | 1.91863 | − | 35.3870i | 0.0873910 | − | 1.61183i | ||||
\(483\) | 15.8653 | + | 18.6780i | 0.721894 | + | 0.849880i | ||||
\(484\) | 0.0342846 | + | 0.123482i | 0.00155839 | + | 0.00561282i | ||||
\(485\) | −2.19689 | + | 0.740219i | −0.0997557 | + | 0.0336116i | ||||
\(486\) | 0.744268 | − | 1.09771i | 0.0337607 | − | 0.0497933i | ||||
\(487\) | −33.6990 | − | 15.5908i | −1.52705 | − | 0.706487i | −0.536530 | − | 0.843882i | \(-0.680265\pi\) |
−0.990516 | + | 0.137395i | \(0.956127\pi\) | |||||||
\(488\) | −5.44810 | + | 6.41400i | −0.246624 | + | 0.290348i | ||||
\(489\) | −4.07455 | − | 3.85961i | −0.184257 | − | 0.174538i | ||||
\(490\) | 3.44367 | + | 0.374521i | 0.155569 | + | 0.0169191i | ||||
\(491\) | −8.43309 | − | 21.1655i | −0.380580 | − | 0.955184i | −0.987098 | − | 0.160115i | \(-0.948814\pi\) |
0.606518 | − | 0.795070i | \(-0.292566\pi\) | |||||||
\(492\) | −0.350236 | − | 2.13635i | −0.0157899 | − | 0.0963139i | ||||
\(493\) | −1.10619 | − | 1.63151i | −0.0498204 | − | 0.0734796i | ||||
\(494\) | −27.0888 | − | 20.5924i | −1.21878 | − | 0.926496i | ||||
\(495\) | 1.28233 | − | 0.139461i | 0.0576362 | − | 0.00626832i | ||||
\(496\) | −13.6943 | − | 25.8302i | −0.614893 | − | 1.15981i | ||||
\(497\) | −4.73936 | − | 2.85158i | −0.212589 | − | 0.127911i | ||||
\(498\) | 6.45726 | − | 3.88520i | 0.289357 | − | 0.174100i | ||||
\(499\) | 7.50765 | − | 14.1609i | 0.336089 | − | 0.633931i | −0.656653 | − | 0.754192i | \(-0.728029\pi\) |
0.992742 | + | 0.120262i | \(0.0383734\pi\) | |||||||
\(500\) | −0.350105 | + | 0.878697i | −0.0156572 | + | 0.0392965i | ||||
\(501\) | 12.6478 | + | 2.78399i | 0.565063 | + | 0.124380i | ||||
\(502\) | −22.1090 | − | 4.86656i | −0.986773 | − | 0.217205i | ||||
\(503\) | −13.0787 | + | 32.8252i | −0.583152 | + | 1.46360i | 0.280670 | + | 0.959804i | \(0.409443\pi\) |
−0.863822 | + | 0.503797i | \(0.831936\pi\) | |||||||
\(504\) | 5.12507 | − | 9.66691i | 0.228289 | − | 0.430598i | ||||
\(505\) | −5.44268 | + | 3.27475i | −0.242196 | + | 0.145724i | ||||
\(506\) | −24.4771 | − | 14.7274i | −1.08814 | − | 0.654713i | ||||
\(507\) | 8.47889 | + | 15.9929i | 0.376561 | + | 0.710269i | ||||
\(508\) | 0.853488 | − | 0.0928224i | 0.0378674 | − | 0.00411833i | ||||
\(509\) | 4.00166 | + | 3.04198i | 0.177371 | + | 0.134834i | 0.690093 | − | 0.723721i | \(-0.257570\pi\) |
−0.512722 | + | 0.858555i | \(0.671363\pi\) | |||||||
\(510\) | −0.356648 | − | 0.526016i | −0.0157926 | − | 0.0232924i | ||||
\(511\) | −5.29870 | − | 32.3207i | −0.234401 | − | 1.42978i | ||||
\(512\) | −9.34877 | − | 23.4636i | −0.413161 | − | 1.03696i | ||||
\(513\) | −4.57363 | − | 0.497412i | −0.201931 | − | 0.0219613i | ||||
\(514\) | −13.1630 | − | 12.4686i | −0.580594 | − | 0.549968i | ||||
\(515\) | 1.52229 | − | 1.79218i | 0.0670802 | − | 0.0789729i | ||||
\(516\) | −0.943494 | − | 0.436507i | −0.0415350 | − | 0.0192161i | ||||
\(517\) | 8.90995 | − | 13.1412i | 0.391859 | − | 0.577949i | ||||
\(518\) | 42.9262 | − | 14.4635i | 1.88607 | − | 0.635490i | ||||
\(519\) | −1.18946 | − | 4.28403i | −0.0522113 | − | 0.188048i | ||||
\(520\) | 4.27805 | + | 5.03651i | 0.187605 | + | 0.220865i | ||||
\(521\) | −0.869656 | + | 16.0399i | −0.0381003 | + | 0.702719i | 0.915624 | + | 0.402036i | \(0.131697\pi\) |
−0.953724 | + | 0.300683i | \(0.902785\pi\) | |||||||
\(522\) | −2.06108 | − | 0.694458i | −0.0902109 | − | 0.0303956i | ||||
\(523\) | 14.9226 | − | 11.3439i | 0.652519 | − | 0.496032i | −0.225759 | − | 0.974183i | \(-0.572486\pi\) |
0.878277 | + | 0.478151i | \(0.158693\pi\) | |||||||
\(524\) | −2.61299 | + | 2.47516i | −0.114149 | + | 0.108128i | ||||
\(525\) | −0.964816 | − | 17.7950i | −0.0421080 | − | 0.776637i | ||||
\(526\) | −2.60168 | + | 9.37041i | −0.113439 | + | 0.408569i | ||||
\(527\) | −9.21852 | + | 4.26494i | −0.401565 | + | 0.185784i | ||||
\(528\) | −1.81096 | + | 11.0464i | −0.0788119 | + | 0.480731i | ||||
\(529\) | 20.8195 | − | 4.58272i | 0.905196 | − | 0.199249i | ||||
\(530\) | 1.40486 | 0.0610230 | ||||||||
\(531\) | 7.42330 | + | 1.97349i | 0.322144 | + | 0.0856421i | ||||
\(532\) | −4.08310 | −0.177025 | ||||||||
\(533\) | −48.9063 | + | 10.7651i | −2.11837 | + | 0.466288i | ||||
\(534\) | −3.92241 | + | 23.9257i | −0.169739 | + | 1.03536i | ||||
\(535\) | 2.91739 | − | 1.34973i | 0.126130 | − | 0.0583538i | ||||
\(536\) | −7.06641 | + | 25.4509i | −0.305223 | + | 1.09931i | ||||
\(537\) | −0.852862 | − | 15.7301i | −0.0368037 | − | 0.678805i | ||||
\(538\) | −4.81726 | + | 4.56315i | −0.207687 | + | 0.196731i | ||||
\(539\) | −16.8751 | + | 12.8281i | −0.726863 | + | 0.552547i | ||||
\(540\) | 0.0910839 | + | 0.0306898i | 0.00391963 | + | 0.00132068i | ||||
\(541\) | −0.265883 | + | 4.90392i | −0.0114312 | + | 0.210836i | 0.987238 | + | 0.159254i | \(0.0509090\pi\) |
−0.998669 | + | 0.0515817i | \(0.983574\pi\) | |||||||
\(542\) | −15.2840 | − | 17.9937i | −0.656503 | − | 0.772895i | ||||
\(543\) | 2.97059 | + | 10.6991i | 0.127480 | + | 0.459142i | ||||
\(544\) | −1.54465 | + | 0.520454i | −0.0662264 | + | 0.0223143i | ||||
\(545\) | 2.46817 | − | 3.64028i | 0.105725 | − | 0.155932i | ||||
\(546\) | −24.7109 | − | 11.4325i | −1.05753 | − | 0.489265i | ||||
\(547\) | 23.1800 | − | 27.2896i | 0.991106 | − | 1.16682i | 0.00512037 | − | 0.999987i | \(-0.498370\pi\) |
0.985985 | − | 0.166833i | \(-0.0533540\pi\) | |||||||
\(548\) | −2.00047 | − | 1.89494i | −0.0854557 | − | 0.0809479i | ||||
\(549\) | 2.81480 | + | 0.306128i | 0.120133 | + | 0.0130652i | ||||
\(550\) | 7.68896 | + | 19.2978i | 0.327858 | + | 0.822862i | ||||
\(551\) | 1.22058 | + | 7.44523i | 0.0519986 | + | 0.317178i | ||||
\(552\) | −11.1040 | − | 16.3771i | −0.472617 | − | 0.697057i | ||||
\(553\) | 5.00186 | + | 3.80231i | 0.212701 | + | 0.161691i | ||||
\(554\) | −7.32053 | + | 0.796155i | −0.311019 | + | 0.0338254i | ||||
\(555\) | 1.73258 | + | 3.26798i | 0.0735437 | + | 0.138718i | ||||
\(556\) | 0.844541 | + | 0.508143i | 0.0358165 | + | 0.0215501i | ||||
\(557\) | −6.64998 | + | 4.00116i | −0.281769 | + | 0.169535i | −0.649422 | − | 0.760428i | \(-0.724989\pi\) |
0.367653 | + | 0.929963i | \(0.380161\pi\) | |||||||
\(558\) | −5.24958 | + | 9.90177i | −0.222233 | + | 0.419175i | ||||
\(559\) | −8.90080 | + | 22.3393i | −0.376464 | + | 0.944852i | ||||
\(560\) | −4.95870 | − | 1.09149i | −0.209543 | − | 0.0461240i | ||||
\(561\) | 3.79810 | + | 0.836026i | 0.160356 | + | 0.0352970i | ||||
\(562\) | 12.9656 | − | 32.5413i | 0.546922 | − | 1.37267i | ||||
\(563\) | −1.76856 | + | 3.33585i | −0.0745358 | + | 0.140589i | −0.917979 | − | 0.396629i | \(-0.870180\pi\) |
0.843443 | + | 0.537218i | \(0.180525\pi\) | |||||||
\(564\) | 1.01372 | − | 0.609934i | 0.0426852 | − | 0.0256828i | ||||
\(565\) | −4.40878 | − | 2.65267i | −0.185479 | − | 0.111599i | ||||
\(566\) | 6.19806 | + | 11.6908i | 0.260524 | + | 0.491400i | ||||
\(567\) | −3.65966 | + | 0.398012i | −0.153691 | + | 0.0167149i | ||||
\(568\) | 3.55519 | + | 2.70258i | 0.149172 | + | 0.113398i | ||||
\(569\) | 22.5906 | + | 33.3187i | 0.947048 | + | 1.39679i | 0.917723 | + | 0.397221i | \(0.130025\pi\) |
0.0293249 | + | 0.999570i | \(0.490664\pi\) | |||||||
\(570\) | 0.393529 | + | 2.40042i | 0.0164831 | + | 0.100542i | ||||
\(571\) | −13.3451 | − | 33.4937i | −0.558476 | − | 1.40167i | −0.889016 | − | 0.457877i | \(-0.848610\pi\) |
0.330540 | − | 0.943792i | \(-0.392769\pi\) | |||||||
\(572\) | −4.32474 | − | 0.470344i | −0.180827 | − | 0.0196661i | ||||
\(573\) | −18.7641 | − | 17.7743i | −0.783881 | − | 0.742532i | ||||
\(574\) | 28.3810 | − | 33.4127i | 1.18460 | − | 1.39462i | ||||
\(575\) | −29.2492 | − | 13.5321i | −1.21977 | − | 0.564328i | ||||
\(576\) | −4.89235 | + | 7.21567i | −0.203848 | + | 0.300653i | ||||
\(577\) | −1.61596 | + | 0.544480i | −0.0672732 | + | 0.0226670i | −0.352737 | − | 0.935723i | \(-0.614749\pi\) |
0.285464 | + | 0.958390i | \(0.407852\pi\) | |||||||
\(578\) | 5.51909 | + | 19.8780i | 0.229564 | + | 0.826815i | ||||
\(579\) | −6.03315 | − | 7.10278i | −0.250729 | − | 0.295181i | ||||
\(580\) | 0.00853346 | − | 0.157390i | 0.000354333 | − | 0.00653528i | ||||
\(581\) | −19.8226 | − | 6.67903i | −0.822382 | − | 0.277093i | ||||
\(582\) | −6.13951 | + | 4.66714i | −0.254491 | + | 0.193459i | ||||
\(583\) | −6.24129 | + | 5.91207i | −0.258488 | + | 0.244853i | ||||
\(584\) | 1.43165 | + | 26.4052i | 0.0592420 | + | 1.09265i | ||||
\(585\) | 0.594800 | − | 2.14227i | 0.0245919 | − | 0.0885722i | ||||
\(586\) | 13.8002 | − | 6.38465i | 0.570080 | − | 0.263747i | ||||
\(587\) | −0.331584 | + | 2.02257i | −0.0136859 | + | 0.0834805i | −0.992786 | − | 0.119897i | \(-0.961744\pi\) |
0.979100 | + | 0.203377i | \(0.0651918\pi\) | |||||||
\(588\) | −1.54259 | + | 0.339549i | −0.0636153 | + | 0.0140028i | ||||
\(589\) | 38.8770 | 1.60190 | ||||||||
\(590\) | −0.0446181 | − | 4.06099i | −0.00183690 | − | 0.167188i | ||||
\(591\) | 6.79084 | 0.279338 | ||||||||
\(592\) | −31.3488 | + | 6.90038i | −1.28843 | + | 0.283604i | ||||
\(593\) | −7.15290 | + | 43.6307i | −0.293734 | + | 1.79170i | 0.266992 | + | 0.963699i | \(0.413970\pi\) |
−0.560726 | + | 0.828001i | \(0.689478\pi\) | |||||||
\(594\) | 3.89444 | − | 1.80176i | 0.159791 | − | 0.0739272i | ||||
\(595\) | −0.471926 | + | 1.69972i | −0.0193471 | + | 0.0696819i | ||||
\(596\) | 0.0205680 | + | 0.379354i | 0.000842498 | + | 0.0155390i | ||||
\(597\) | −1.01371 | + | 0.960237i | −0.0414884 | + | 0.0392999i | ||||
\(598\) | −39.1982 | + | 29.7977i | −1.60293 | + | 1.21852i | ||||
\(599\) | 44.6160 | + | 15.0329i | 1.82296 | + | 0.614227i | 0.998858 | + | 0.0477872i | \(0.0152169\pi\) |
0.824103 | + | 0.566440i | \(0.191680\pi\) | |||||||
\(600\) | −0.778989 | + | 14.3676i | −0.0318021 | + | 0.586555i | ||||
\(601\) | 9.03176 | + | 10.6330i | 0.368413 | + | 0.433729i | 0.914864 | − | 0.403762i | \(-0.132297\pi\) |
−0.546451 | + | 0.837491i | \(0.684022\pi\) | |||||||
\(602\) | −5.63196 | − | 20.2845i | −0.229542 | − | 0.826735i | ||||
\(603\) | 8.42165 | − | 2.83759i | 0.342956 | − | 0.115555i | ||||
\(604\) | −0.135671 | + | 0.200099i | −0.00552037 | + | 0.00814193i | ||||
\(605\) | −0.192327 | − | 0.0889801i | −0.00781922 | − | 0.00361755i | ||||
\(606\) | −13.6798 | + | 16.1051i | −0.555703 | + | 0.654224i | ||||
\(607\) | −3.83356 | − | 3.63134i | −0.155600 | − | 0.147392i | 0.605940 | − | 0.795511i | \(-0.292797\pi\) |
−0.761539 | + | 0.648119i | \(0.775556\pi\) | |||||||
\(608\) | 6.20215 | + | 0.674524i | 0.251530 | + | 0.0273556i | ||||
\(609\) | 2.23450 | + | 5.60818i | 0.0905467 | + | 0.227255i | ||||
\(610\) | −0.242194 | − | 1.47732i | −0.00980613 | − | 0.0598148i | ||||
\(611\) | −15.3576 | − | 22.6508i | −0.621304 | − | 0.916355i | ||||
\(612\) | 0.230699 | + | 0.175373i | 0.00932546 | + | 0.00708903i | ||||
\(613\) | −40.9795 | + | 4.45678i | −1.65514 | + | 0.180008i | −0.887481 | − | 0.460845i | \(-0.847546\pi\) |
−0.767664 | + | 0.640853i | \(0.778581\pi\) | |||||||
\(614\) | 3.87446 | + | 7.30801i | 0.156361 | + | 0.294927i | ||||
\(615\) | 3.06738 | + | 1.84558i | 0.123689 | + | 0.0744210i | ||||
\(616\) | 30.3337 | − | 18.2512i | 1.22218 | − | 0.735360i | ||||
\(617\) | 12.0661 | − | 22.7591i | 0.485763 | − | 0.916246i | −0.512577 | − | 0.858641i | \(-0.671309\pi\) |
0.998339 | − | 0.0576043i | \(-0.0183462\pi\) | |||||||
\(618\) | 2.89540 | − | 7.26692i | 0.116470 | − | 0.292318i | ||||
\(619\) | −2.63936 | − | 0.580967i | −0.106085 | − | 0.0233510i | 0.161611 | − | 0.986855i | \(-0.448331\pi\) |
−0.267696 | + | 0.963504i | \(0.586262\pi\) | |||||||
\(620\) | −0.793226 | − | 0.174602i | −0.0318567 | − | 0.00701219i | ||||
\(621\) | −2.46407 | + | 6.18436i | −0.0988798 | + | 0.248170i | ||||
\(622\) | 9.50920 | − | 17.9363i | 0.381284 | − | 0.719179i | ||||
\(623\) | 57.6639 | − | 34.6952i | 2.31026 | − | 1.39003i | ||||
\(624\) | 16.5324 | + | 9.94723i | 0.661826 | + | 0.398208i | ||||
\(625\) | 10.6053 | + | 20.0038i | 0.424214 | + | 0.800152i | ||||
\(626\) | 32.0803 | − | 3.48895i | 1.28219 | − | 0.139446i | ||||
\(627\) | −11.8500 | − | 9.00815i | −0.473244 | − | 0.359751i | ||||
\(628\) | −3.03687 | − | 4.47905i | −0.121184 | − | 0.178733i | ||||
\(629\) | 1.80421 | + | 11.0052i | 0.0719386 | + | 0.438806i | ||||
\(630\) | 0.720427 | + | 1.80814i | 0.0287025 | + | 0.0720378i | ||||
\(631\) | −38.6547 | − | 4.20395i | −1.53882 | − | 0.167357i | −0.700943 | − | 0.713217i | \(-0.747237\pi\) |
−0.837876 | + | 0.545861i | \(0.816203\pi\) | |||||||
\(632\) | −3.68289 | − | 3.48862i | −0.146497 | − | 0.138770i | ||||
\(633\) | 9.77085 | − | 11.5031i | 0.388356 | − | 0.457209i | ||||
\(634\) | −0.658041 | − | 0.304442i | −0.0261341 | − | 0.0120909i | ||||
\(635\) | −0.796686 | + | 1.17502i | −0.0316155 | + | 0.0466294i | ||||
\(636\) | −0.607059 | + | 0.204542i | −0.0240715 | + | 0.00811062i | ||||
\(637\) | 9.77468 | + | 35.2052i | 0.387287 | + | 1.39488i | ||||
\(638\) | −4.55564 | − | 5.36332i | −0.180360 | − | 0.212336i | ||||
\(639\) | 0.0813443 | − | 1.50031i | 0.00321793 | − | 0.0593512i | ||||
\(640\) | 3.34344 | + | 1.12654i | 0.132161 | + | 0.0445303i | ||||
\(641\) | 38.0741 | − | 28.9432i | 1.50384 | − | 1.14319i | 0.553133 | − | 0.833093i | \(-0.313432\pi\) |
0.950706 | − | 0.310095i | \(-0.100361\pi\) | |||||||
\(642\) | 7.76349 | − | 7.35397i | 0.306400 | − | 0.290238i | ||||
\(643\) | −0.865620 | − | 15.9654i | −0.0341367 | − | 0.629615i | −0.964679 | − | 0.263430i | \(-0.915146\pi\) |
0.930542 | − | 0.366185i | \(-0.119336\pi\) | |||||||
\(644\) | −1.58065 | + | 5.69298i | −0.0622863 | + | 0.224335i | ||||
\(645\) | 1.56015 | − | 0.721804i | 0.0614310 | − | 0.0284210i | ||||
\(646\) | −1.18650 | + | 7.23730i | −0.0466820 | + | 0.284748i | ||||
\(647\) | −15.0037 | + | 3.30257i | −0.589857 | + | 0.129837i | −0.499862 | − | 0.866105i | \(-0.666616\pi\) |
−0.0899946 | + | 0.995942i | \(0.528685\pi\) | |||||||
\(648\) | 2.97222 | 0.116760 | ||||||||
\(649\) | 17.2881 | + | 17.8538i | 0.678618 | + | 0.700824i | ||||
\(650\) | 35.8058 | 1.40442 | ||||||||
\(651\) | 30.3807 | − | 6.68731i | 1.19072 | − | 0.262096i | ||||
\(652\) | 0.218906 | − | 1.33527i | 0.00857302 | − | 0.0522931i | ||||
\(653\) | −27.7377 | + | 12.8328i | −1.08546 | + | 0.502187i | −0.879269 | − | 0.476325i | \(-0.841968\pi\) |
−0.206190 | + | 0.978512i | \(0.566106\pi\) | |||||||
\(654\) | 3.91425 | − | 14.0978i | 0.153059 | − | 0.551269i | ||||
\(655\) | −0.322213 | − | 5.94286i | −0.0125899 | − | 0.232207i | ||||
\(656\) | −22.5538 | + | 21.3641i | −0.880578 | + | 0.834128i | ||||
\(657\) | 7.08287 | − | 5.38426i | 0.276329 | − | 0.210060i | ||||
\(658\) | 22.7034 | + | 7.64968i | 0.885072 | + | 0.298216i | ||||
\(659\) | −0.407220 | + | 7.51072i | −0.0158630 | + | 0.292576i | 0.979828 | + | 0.199843i | \(0.0640432\pi\) |
−0.995691 | + | 0.0927334i | \(0.970440\pi\) | |||||||
\(660\) | 0.201325 | + | 0.237018i | 0.00783655 | + | 0.00922590i | ||||
\(661\) | 11.5517 | + | 41.6054i | 0.449308 | + | 1.61826i | 0.747853 | + | 0.663865i | \(0.231085\pi\) |
−0.298545 | + | 0.954396i | \(0.596501\pi\) | |||||||
\(662\) | −7.24341 | + | 2.44059i | −0.281523 | + | 0.0948562i | ||||
\(663\) | 3.76182 | − | 5.54827i | 0.146097 | − | 0.215477i | ||||
\(664\) | 15.3279 | + | 7.09143i | 0.594837 | + | 0.275201i | ||||
\(665\) | 4.37101 | − | 5.14596i | 0.169501 | − | 0.199552i | ||||
\(666\) | 8.93331 | + | 8.46208i | 0.346159 | + | 0.327899i | ||||
\(667\) | 10.8532 | + | 1.18036i | 0.420239 | + | 0.0457038i | ||||
\(668\) | 1.15567 | + | 2.90052i | 0.0447144 | + | 0.112225i | ||||
\(669\) | −1.59761 | − | 9.74500i | −0.0617672 | − | 0.376763i | ||||
\(670\) | −2.63686 | − | 3.88908i | −0.101871 | − | 0.150248i | ||||
\(671\) | 7.29299 | + | 5.54398i | 0.281543 | + | 0.214023i | ||||
\(672\) | 4.96275 | − | 0.539731i | 0.191442 | − | 0.0208206i | ||||
\(673\) | −6.13764 | − | 11.5768i | −0.236589 | − | 0.446253i | 0.736579 | − | 0.676352i | \(-0.236440\pi\) |
−0.973167 | + | 0.230098i | \(0.926095\pi\) | |||||||
\(674\) | −23.1380 | − | 13.9217i | −0.891243 | − | 0.536243i | ||||
\(675\) | 4.14810 | − | 2.49583i | 0.159660 | − | 0.0960645i | ||||
\(676\) | −2.04419 | + | 3.85575i | −0.0786226 | + | 0.148298i | ||||
\(677\) | 4.92780 | − | 12.3678i | 0.189391 | − | 0.475335i | −0.803365 | − | 0.595487i | \(-0.796959\pi\) |
0.992755 | + | 0.120153i | \(0.0383384\pi\) | |||||||
\(678\) | −16.7166 | − | 3.67959i | −0.641996 | − | 0.141314i | ||||
\(679\) | 20.9059 | + | 4.60173i | 0.802294 | + | 0.176598i | ||||
\(680\) | 0.527176 | − | 1.32311i | 0.0202163 | − | 0.0507390i | ||||
\(681\) | 7.18290 | − | 13.5484i | 0.275249 | − | 0.519175i | ||||
\(682\) | −31.0706 | + | 18.6946i | −1.18975 | + | 0.715852i | ||||
\(683\) | −2.65466 | − | 1.59726i | −0.101578 | − | 0.0611173i | 0.463859 | − | 0.885909i | \(-0.346465\pi\) |
−0.565436 | + | 0.824792i | \(0.691292\pi\) | |||||||
\(684\) | −0.519542 | − | 0.979961i | −0.0198652 | − | 0.0374697i | ||||
\(685\) | 4.52973 | − | 0.492638i | 0.173072 | − | 0.0188227i | ||||
\(686\) | 1.74309 | + | 1.32506i | 0.0665515 | + | 0.0505911i | ||||
\(687\) | 10.3816 | + | 15.3117i | 0.396082 | + | 0.584177i | ||||
\(688\) | 2.41347 | + | 14.7215i | 0.0920127 | + | 0.561253i | ||||
\(689\) | 5.48471 | + | 13.7656i | 0.208951 | + | 0.524427i | ||||
\(690\) | 3.49920 | + | 0.380561i | 0.133212 | + | 0.0144877i | ||||
\(691\) | 31.5953 | + | 29.9287i | 1.20194 | + | 1.13854i | 0.986798 | + | 0.161958i | \(0.0517809\pi\) |
0.215145 | + | 0.976582i | \(0.430978\pi\) | |||||||
\(692\) | 0.693943 | − | 0.816973i | 0.0263798 | − | 0.0310567i | ||||
\(693\) | −10.8098 | − | 5.00115i | −0.410631 | − | 0.189978i | ||||
\(694\) | −9.38806 | + | 13.8463i | −0.356366 | + | 0.525600i | ||||
\(695\) | −1.54451 | + | 0.520405i | −0.0585865 | + | 0.0197401i | ||||
\(696\) | −1.30399 | − | 4.69655i | −0.0494276 | − | 0.178022i | ||||
\(697\) | 6.98734 | + | 8.22614i | 0.264665 | + | 0.311587i | ||||
\(698\) | −1.17258 | + | 21.6269i | −0.0443827 | + | 0.818591i | ||||
\(699\) | 19.8674 | + | 6.69411i | 0.751455 | + | 0.253195i | ||||
\(700\) | 3.42043 | − | 2.60014i | 0.129280 | − | 0.0982762i | ||||
\(701\) | −3.35336 | + | 3.17648i | −0.126655 | + | 0.119974i | −0.748406 | − | 0.663241i | \(-0.769180\pi\) |
0.621751 | + | 0.783215i | \(0.286422\pi\) | |||||||
\(702\) | −0.400425 | − | 7.38541i | −0.0151131 | − | 0.278744i | ||||
\(703\) | 11.4193 | − | 41.1288i | 0.430689 | − | 1.55120i | ||||
\(704\) | −25.5996 | + | 11.8436i | −0.964822 | + | 0.446374i | ||||
\(705\) | −0.316495 | + | 1.93054i | −0.0119199 | + | 0.0727082i | ||||
\(706\) | 17.0880 | − | 3.76135i | 0.643115 | − | 0.141560i | ||||
\(707\) | 58.6527 | 2.20586 | ||||||||
\(708\) | 0.610546 | + | 1.74832i | 0.0229457 | + | 0.0657058i | ||||
\(709\) | 15.4285 | 0.579431 | 0.289716 | − | 0.957113i | \(-0.406439\pi\) | ||||
0.289716 | + | 0.957113i | \(0.406439\pi\) | |||||||
\(710\) | −0.775845 | + | 0.170777i | −0.0291170 | + | 0.00640913i | ||||
\(711\) | −0.276124 | + | 1.68428i | −0.0103554 | + | 0.0631654i | ||||
\(712\) | −49.3135 | + | 22.8148i | −1.84810 | + | 0.855022i | ||||
\(713\) | 15.0501 | − | 54.2054i | 0.563629 | − | 2.03001i | ||||
\(714\) | 0.317706 | + | 5.85974i | 0.0118898 | + | 0.219295i | ||||
\(715\) | 5.22247 | − | 4.94699i | 0.195309 | − | 0.185007i | ||||
\(716\) | 3.02354 | − | 2.29843i | 0.112995 | − | 0.0858964i | ||||
\(717\) | 20.5443 | + | 6.92219i | 0.767242 | + | 0.258514i | ||||
\(718\) | 1.86930 | − | 34.4772i | 0.0697617 | − | 1.28668i | ||||
\(719\) | 30.7928 | + | 36.2521i | 1.14838 | + | 1.35197i | 0.926229 | + | 0.376961i | \(0.123031\pi\) |
0.222148 | + | 0.975013i | \(0.428693\pi\) | |||||||
\(720\) | −0.368993 | − | 1.32899i | −0.0137515 | − | 0.0495286i | ||||
\(721\) | −20.5763 | + | 6.93296i | −0.766302 | + | 0.258197i | ||||
\(722\) | 1.61171 | − | 2.37710i | 0.0599817 | − | 0.0884664i | ||||
\(723\) | −24.2517 | − | 11.2200i | −0.901930 | − | 0.417277i | ||||
\(724\) | −1.73308 | + | 2.04034i | −0.0644093 | + | 0.0758285i | ||||
\(725\) | −5.76366 | − | 5.45963i | −0.214057 | − | 0.202765i | ||||
\(726\) | −0.700835 | − | 0.0762204i | −0.0260104 | − | 0.00282881i | ||||
\(727\) | 5.86531 | + | 14.7208i | 0.217532 | + | 0.545965i | 0.996729 | − | 0.0808144i | \(-0.0257521\pi\) |
−0.779197 | + | 0.626779i | \(0.784373\pi\) | |||||||
\(728\) | −9.87179 | − | 60.2153i | −0.365873 | − | 2.23173i | ||||
\(729\) | −0.561187 | − | 0.827689i | −0.0207847 | − | 0.0306551i | ||||
\(730\) | −3.74491 | − | 2.84680i | −0.138605 | − | 0.105365i | ||||
\(731\) | 5.15254 | − | 0.560372i | 0.190573 | − | 0.0207261i | ||||
\(732\) | 0.319748 | + | 0.603108i | 0.0118182 | + | 0.0222915i | ||||
\(733\) | 7.12629 | + | 4.28775i | 0.263216 | + | 0.158372i | 0.641044 | − | 0.767504i | \(-0.278502\pi\) |
−0.377829 | + | 0.925876i | \(0.623329\pi\) | |||||||
\(734\) | 11.6805 | − | 7.02792i | 0.431135 | − | 0.259405i | ||||
\(735\) | 1.22343 | − | 2.30762i | 0.0451267 | − | 0.0851180i | ||||
\(736\) | 3.34145 | − | 8.38640i | 0.123167 | − | 0.309127i | ||||
\(737\) | 28.0812 | + | 6.18113i | 1.03438 | + | 0.227685i | ||||
\(738\) | 11.6304 | + | 2.56005i | 0.428122 | + | 0.0942369i | ||||
\(739\) | −2.34306 | + | 5.88063i | −0.0861908 | + | 0.216323i | −0.965754 | − | 0.259459i | \(-0.916456\pi\) |
0.879563 | + | 0.475782i | \(0.157835\pi\) | |||||||
\(740\) | −0.417709 | + | 0.787883i | −0.0153553 | + | 0.0289632i | ||||
\(741\) | −21.9843 | + | 13.2275i | −0.807615 | + | 0.485926i | ||||
\(742\) | −11.1154 | − | 6.68789i | −0.408058 | − | 0.245520i | ||||
\(743\) | −6.11405 | − | 11.5323i | −0.224303 | − | 0.423080i | 0.745662 | − | 0.666324i | \(-0.232133\pi\) |
−0.969965 | + | 0.243244i | \(0.921788\pi\) | |||||||
\(744\) | −24.9693 | + | 2.71558i | −0.915419 | + | 0.0995578i | ||||
\(745\) | −0.500121 | − | 0.380182i | −0.0183230 | − | 0.0139288i | ||||
\(746\) | 3.69060 | + | 5.44323i | 0.135122 | + | 0.199291i | ||||
\(747\) | −0.919281 | − | 5.60737i | −0.0336347 | − | 0.205163i | ||||
\(748\) | 0.347046 | + | 0.871020i | 0.0126893 | + | 0.0318476i | ||||
\(749\) | −29.5082 | − | 3.20921i | −1.07820 | − | 0.117262i | ||||
\(750\) | −3.77753 | − | 3.57827i | −0.137936 | − | 0.130660i | ||||
\(751\) | 27.7862 | − | 32.7124i | 1.01393 | − | 1.19369i | 0.0329763 | − | 0.999456i | \(-0.489501\pi\) |
0.980955 | − | 0.194236i | \(-0.0622227\pi\) | |||||||
\(752\) | −15.4080 | − | 7.12851i | −0.561872 | − | 0.259950i | ||||
\(753\) | −9.57920 | + | 14.1283i | −0.349085 | + | 0.514862i | ||||
\(754\) | −11.4944 | + | 3.87290i | −0.418600 | + | 0.141043i | ||||
\(755\) | −0.106949 | − | 0.385196i | −0.00389227 | − | 0.0140187i | ||||
\(756\) | −0.574565 | − | 0.676431i | −0.0208967 | − | 0.0246016i | ||||
\(757\) | 0.488301 | − | 9.00619i | 0.0177476 | − | 0.327335i | −0.976155 | − | 0.217074i | \(-0.930349\pi\) |
0.993903 | − | 0.110261i | \(-0.0351687\pi\) | |||||||
\(758\) | −43.9528 | − | 14.8094i | −1.59644 | − | 0.537903i | ||||
\(759\) | −17.1473 | + | 13.0350i | −0.622406 | + | 0.473141i | ||||
\(760\) | −3.95767 | + | 3.74891i | −0.143560 | + | 0.135987i | ||||
\(761\) | 0.348741 | + | 6.43215i | 0.0126419 | + | 0.233165i | 0.998025 | + | 0.0628140i | \(0.0200075\pi\) |
−0.985383 | + | 0.170351i | \(0.945510\pi\) | |||||||
\(762\) | −1.26346 | + | 4.55056i | −0.0457702 | + | 0.164849i | ||||
\(763\) | −36.8581 | + | 17.0524i | −1.33435 | + | 0.617338i | ||||
\(764\) | 1.00811 | − | 6.14917i | 0.0364720 | − | 0.222469i | ||||
\(765\) | −0.467990 | + | 0.103012i | −0.0169202 | + | 0.00372442i | ||||
\(766\) | 5.17924 | 0.187133 | ||||||||
\(767\) | 39.6178 | − | 16.2918i | 1.43051 | − | 0.588261i | ||||
\(768\) | −5.69874 | −0.205635 | ||||||||
\(769\) | −37.4682 | + | 8.24737i | −1.35114 | + | 0.297408i | −0.830809 | − | 0.556558i | \(-0.812122\pi\) |
−0.520329 | + | 0.853966i | \(0.674191\pi\) | |||||||
\(770\) | −1.01882 | + | 6.21453i | −0.0367157 | + | 0.223956i | ||||
\(771\) | −12.4074 | + | 5.74028i | −0.446842 | + | 0.206731i | ||||
\(772\) | 0.601080 | − | 2.16490i | 0.0216334 | − | 0.0779163i | ||||
\(773\) | −0.228771 | − | 4.21943i | −0.00822831 | − | 0.151762i | −0.999760 | − | 0.0218988i | \(-0.993029\pi\) |
0.991532 | − | 0.129863i | \(-0.0414539\pi\) | |||||||
\(774\) | 4.15174 | − | 3.93274i | 0.149231 | − | 0.141359i | ||||
\(775\) | −32.5674 | + | 24.7571i | −1.16986 | + | 0.889301i | ||||
\(776\) | −16.3787 | − | 5.51862i | −0.587961 | − | 0.198107i | ||||
\(777\) | 1.84910 | − | 34.1047i | 0.0663361 | − | 1.22350i | ||||
\(778\) | 4.76119 | + | 5.60531i | 0.170697 | + | 0.200960i | ||||
\(779\) | −11.0518 | − | 39.8050i | −0.395972 | − | 1.42616i | ||||
\(780\) | 0.507963 | − | 0.171153i | 0.0181880 | − | 0.00612825i | ||||
\(781\) | 2.72814 | − | 4.02370i | 0.0976204 | − | 0.143979i | ||||
\(782\) | 9.63150 | + | 4.45601i | 0.344422 | + | 0.159346i | ||||
\(783\) | −1.06166 | + | 1.24989i | −0.0379407 | + | 0.0446673i | ||||
\(784\) | 16.4556 | + | 15.5876i | 0.587700 | + | 0.556699i | ||||
\(785\) | 8.89598 | + | 0.967496i | 0.317511 | + | 0.0345314i | ||||
\(786\) | −7.32838 | − | 18.3928i | −0.261395 | − | 0.656051i | ||||
\(787\) | 3.80378 | + | 23.2020i | 0.135590 | + | 0.827062i | 0.963796 | + | 0.266639i | \(0.0859132\pi\) |
−0.828206 | + | 0.560423i | \(0.810639\pi\) | |||||||
\(788\) | 0.918783 | + | 1.35510i | 0.0327303 | + | 0.0482736i | ||||
\(789\) | 5.83749 | + | 4.43755i | 0.207820 | + | 0.157981i | ||||
\(790\) | 0.897123 | − | 0.0975680i | 0.0319182 | − | 0.00347131i | ||||
\(791\) | 22.2545 | + | 41.9765i | 0.791280 | + | 1.49251i | ||||
\(792\) | 8.24007 | + | 4.95788i | 0.292798 | + | 0.176171i | ||||
\(793\) | 13.5301 | − | 8.14076i | 0.480466 | − | 0.289087i | ||||
\(794\) | 22.1211 | − | 41.7248i | 0.785049 | − | 1.48076i | ||||
\(795\) | 0.392079 | − | 0.984045i | 0.0139056 | − | 0.0349005i | ||||
\(796\) | −0.328767 | − | 0.0723670i | −0.0116528 | − | 0.00256498i | ||||
\(797\) | −38.6881 | − | 8.51590i | −1.37040 | − | 0.301649i | −0.532021 | − | 0.846731i | \(-0.678567\pi\) |
−0.838382 | + | 0.545083i | \(0.816498\pi\) | |||||||
\(798\) | 8.31369 | − | 20.8658i | 0.294301 | − | 0.738641i | ||||
\(799\) | −2.76281 | + | 5.21121i | −0.0977412 | + | 0.184360i | ||||
\(800\) | −5.62510 | + | 3.38451i | −0.198877 | + | 0.119661i | ||||
\(801\) | 15.6643 | + | 9.42488i | 0.553470 | + | 0.333012i | ||||
\(802\) | 0.235602 | + | 0.444392i | 0.00831939 | + | 0.0156920i | ||||
\(803\) | 28.6176 | − | 3.11235i | 1.00989 | − | 0.109832i | ||||
\(804\) | 1.70567 | + | 1.29661i | 0.0601542 | + | 0.0457280i | ||||
\(805\) | −5.48279 | − | 8.08651i | −0.193243 | − | 0.285012i | ||||
\(806\) | 10.1116 | + | 61.6782i | 0.356167 | + | 2.17252i | ||||
\(807\) | 1.85186 | + | 4.64782i | 0.0651886 | + | 0.163611i | ||||
\(808\) | −47.0784 | − | 5.12008i | −1.65621 | − | 0.180124i | ||||
\(809\) | −22.2143 | − | 21.0425i | −0.781014 | − | 0.739816i | 0.189233 | − | 0.981932i | \(-0.439400\pi\) |
−0.970247 | + | 0.242116i | \(0.922158\pi\) | |||||||
\(810\) | −0.342291 | + | 0.402976i | −0.0120269 | + | 0.0141591i | ||||
\(811\) | 46.8204 | + | 21.6614i | 1.64409 | + | 0.760635i | 0.999991 | − | 0.00430958i | \(-0.00137178\pi\) |
0.644096 | + | 0.764945i | \(0.277234\pi\) | |||||||
\(812\) | −0.816784 | + | 1.20467i | −0.0286635 | + | 0.0422755i | ||||
\(813\) | −16.8694 | + | 5.68398i | −0.591637 | + | 0.199346i | ||||
\(814\) | 10.6510 | + | 38.3614i | 0.373317 | + | 1.34456i | ||||
\(815\) | 1.44850 | + | 1.70531i | 0.0507388 | + | 0.0597343i | ||||
\(816\) | 0.225137 | − | 4.15241i | 0.00788137 | − | 0.145363i | ||||
\(817\) | −18.7991 | − | 6.33417i | −0.657699 | − | 0.221605i | ||||
\(818\) | −9.75014 | + | 7.41186i | −0.340906 | + | 0.259150i | ||||
\(819\) | −14.9045 | + | 14.1183i | −0.520807 | + | 0.493334i | ||||
\(820\) | 0.0467251 | + | 0.861794i | 0.00163171 | + | 0.0300952i | ||||
\(821\) | 14.5220 | − | 52.3035i | 0.506821 | − | 1.82540i | −0.0554660 | − | 0.998461i | \(-0.517664\pi\) |
0.562287 | − | 0.826942i | \(-0.309922\pi\) | |||||||
\(822\) | 13.7569 | − | 6.36461i | 0.479826 | − | 0.221991i | ||||
\(823\) | −1.36057 | + | 8.29910i | −0.0474264 | + | 0.289288i | −0.999882 | − | 0.0153905i | \(-0.995101\pi\) |
0.952455 | + | 0.304679i | \(0.0985491\pi\) | |||||||
\(824\) | 17.1211 | − | 3.76863i | 0.596441 | − | 0.131287i | ||||
\(825\) | 15.6633 | 0.545324 | ||||||||
\(826\) | −18.9795 | + | 32.3434i | −0.660383 | + | 1.12537i | ||||
\(827\) | −32.2719 | −1.12220 | −0.561102 | − | 0.827747i | \(-0.689622\pi\) | ||||
−0.561102 | + | 0.827747i | \(0.689622\pi\) | |||||||
\(828\) | −1.56746 | + | 0.345025i | −0.0544731 | + | 0.0119904i | ||||
\(829\) | −2.04073 | + | 12.4479i | −0.0708775 | + | 0.432334i | 0.927421 | + | 0.374020i | \(0.122021\pi\) |
−0.998298 | + | 0.0583142i | \(0.981427\pi\) | |||||||
\(830\) | −2.72667 | + | 1.26149i | −0.0946442 | + | 0.0437871i | ||||
\(831\) | −1.48540 | + | 5.34993i | −0.0515280 | + | 0.185587i | ||||
\(832\) | 2.63214 | + | 48.5470i | 0.0912532 | + | 1.68307i | ||||
\(833\) | 5.71711 | − | 5.41553i | 0.198086 | − | 0.187637i | ||||
\(834\) | −4.31634 | + | 3.28120i | −0.149463 | + | 0.113619i | ||||
\(835\) | −4.89271 | − | 1.64855i | −0.169319 | − | 0.0570503i | ||||
\(836\) | 0.194288 | − | 3.58344i | 0.00671960 | − | 0.123936i | ||||
\(837\) | 5.47069 | + | 6.44059i | 0.189095 | + | 0.222619i | ||||
\(838\) | −10.7531 | − | 38.7293i | −0.371461 | − | 1.33788i | ||||
\(839\) | 0.996092 | − | 0.335623i | 0.0343889 | − | 0.0115870i | −0.302055 | − | 0.953291i | \(-0.597672\pi\) |
0.336443 | + | 0.941704i | \(0.390776\pi\) | |||||||
\(840\) | −2.44790 | + | 3.61038i | −0.0844605 | + | 0.124570i | ||||
\(841\) | −23.8789 | − | 11.0476i | −0.823410 | − | 0.380950i | ||||
\(842\) | −4.41453 | + | 5.19719i | −0.152135 | + | 0.179107i | ||||
\(843\) | −19.1753 | − | 18.1638i | −0.660432 | − | 0.625594i | ||||
\(844\) | 3.61741 | + | 0.393417i | 0.124516 | + | 0.0135420i | ||||
\(845\) | −2.67109 | − | 6.70393i | −0.0918883 | − | 0.230622i | ||||
\(846\) | 1.05288 | + | 6.42228i | 0.0361987 | + | 0.220802i | ||||
\(847\) | 1.09812 | + | 1.61960i | 0.0377318 | + | 0.0556503i | ||||
\(848\) | 7.31814 | + | 5.56311i | 0.251306 | + | 0.191038i | ||||
\(849\) | 9.91872 | − | 1.07873i | 0.340410 | − | 0.0370218i | ||||
\(850\) | −3.61482 | − | 6.81828i | −0.123987 | − | 0.233865i | ||||
\(851\) | −52.9243 | − | 31.8435i | −1.81422 | − | 1.09158i | ||||
\(852\) | 0.310390 | − | 0.186756i | 0.0106338 | − | 0.00639814i | ||||
\(853\) | −15.8169 | + | 29.8338i | −0.541560 | + | 1.02149i | 0.450146 | + | 0.892955i | \(0.351372\pi\) |
−0.991705 | + | 0.128534i | \(0.958973\pi\) | |||||||
\(854\) | −5.11658 | + | 12.8417i | −0.175086 | + | 0.439432i | ||||
\(855\) | 1.79123 | + | 0.394279i | 0.0612587 | + | 0.0134840i | ||||
\(856\) | 23.4050 | + | 5.15183i | 0.799966 | + | 0.176086i | ||||
\(857\) | 8.41188 | − | 21.1122i | 0.287344 | − | 0.721180i | −0.712466 | − | 0.701706i | \(-0.752422\pi\) |
0.999810 | − | 0.0194731i | \(-0.00619887\pi\) | |||||||
\(858\) | 11.2093 | − | 21.1430i | 0.382679 | − | 0.721809i | ||||
\(859\) | −21.0341 | + | 12.6558i | −0.717675 | + | 0.431811i | −0.827005 | − | 0.562195i | \(-0.809957\pi\) |
0.109330 | + | 0.994006i | \(0.465130\pi\) | |||||||
\(860\) | 0.355120 | + | 0.213669i | 0.0121095 | + | 0.00728604i | ||||
\(861\) | −15.4834 | − | 29.2049i | −0.527674 | − | 0.995299i | ||||
\(862\) | −43.7104 | + | 4.75379i | −1.48878 | + | 0.161915i | ||||
\(863\) | 19.1138 | + | 14.5300i | 0.650642 | + | 0.494606i | 0.877659 | − | 0.479285i | \(-0.159104\pi\) |
−0.227017 | + | 0.973891i | \(0.572897\pi\) | |||||||
\(864\) | 0.761007 | + | 1.12240i | 0.0258900 | + | 0.0381849i | ||||
\(865\) | 0.286760 | + | 1.74916i | 0.00975015 | + | 0.0594733i | ||||
\(866\) | −18.0634 | − | 45.3357i | −0.613820 | − | 1.54057i | ||||
\(867\) | 15.4640 | + | 1.68182i | 0.525186 | + | 0.0571175i | ||||
\(868\) | 5.44488 | + | 5.15767i | 0.184811 | + | 0.175063i | ||||
\(869\) | −3.57502 | + | 4.20883i | −0.121274 | + | 0.142775i | ||||
\(870\) | 0.786933 | + | 0.364074i | 0.0266795 | + | 0.0123433i | ||||
\(871\) | 27.8129 | − | 41.0210i | 0.942404 | − | 1.38994i | ||||
\(872\) | 31.0733 | − | 10.4698i | 1.05227 | − | 0.354553i | ||||
\(873\) | 1.55567 | + | 5.60303i | 0.0526516 | + | 0.189634i | ||||
\(874\) | −26.2960 | − | 30.9580i | −0.889474 | − | 1.04717i | ||||
\(875\) | −0.781909 | + | 14.4215i | −0.0264333 | + | 0.487534i | ||||
\(876\) | 2.03272 | + | 0.684902i | 0.0686791 | + | 0.0231407i | ||||
\(877\) | −34.5956 | + | 26.2989i | −1.16821 | + | 0.888050i | −0.995295 | − | 0.0968872i | \(-0.969111\pi\) |
−0.172914 | + | 0.984937i | \(0.555318\pi\) | |||||||
\(878\) | −22.8834 | + | 21.6763i | −0.772276 | + | 0.731539i | ||||
\(879\) | −0.620712 | − | 11.4484i | −0.0209361 | − | 0.386143i | ||||
\(880\) | 1.19387 | − | 4.29995i | 0.0402455 | − | 0.144951i | ||||
\(881\) | −36.1341 | + | 16.7174i | −1.21739 | + | 0.563224i | −0.920145 | − | 0.391578i | \(-0.871929\pi\) |
−0.297243 | + | 0.954802i | \(0.596067\pi\) | |||||||
\(882\) | 1.40570 | − | 8.57442i | 0.0473325 | − | 0.288716i | ||||
\(883\) | 19.9440 | − | 4.39001i | 0.671169 | − | 0.147735i | 0.133704 | − | 0.991021i | \(-0.457313\pi\) |
0.537465 | + | 0.843286i | \(0.319382\pi\) | |||||||
\(884\) | 1.61612 | 0.0543559 | ||||||||
\(885\) | −2.85701 | − | 1.10212i | −0.0960374 | − | 0.0370475i | ||||
\(886\) | −8.67756 | −0.291528 | ||||||||
\(887\) | 2.40101 | − | 0.528502i | 0.0806179 | − | 0.0177453i | −0.174478 | − | 0.984661i | \(-0.555824\pi\) |
0.255096 | + | 0.966916i | \(0.417893\pi\) | |||||||
\(888\) | −4.46137 | + | 27.2132i | −0.149714 | + | 0.913214i | ||||
\(889\) | 11.8972 | − | 5.50424i | 0.399020 | − | 0.184606i | ||||
\(890\) | 2.58585 | − | 9.31339i | 0.0866779 | − | 0.312186i | ||||
\(891\) | −0.175166 | − | 3.23075i | −0.00586829 | − | 0.108234i | ||||
\(892\) | 1.72845 | − | 1.63728i | 0.0578728 | − | 0.0548200i | ||||
\(893\) | 17.9723 | − | 13.6622i | 0.601421 | − | 0.457189i | ||||
\(894\) | −1.98048 | − | 0.667303i | −0.0662373 | − | 0.0223180i | ||||
\(895\) | −0.340008 | + | 6.27108i | −0.0113652 | + | 0.209619i | ||||
\(896\) | −21.0907 | − | 24.8299i | −0.704592 | − | 0.829510i | ||||
\(897\) | 9.93230 | + | 35.7729i | 0.331630 | + | 1.19442i | ||||
\(898\) | 36.9273 | − | 12.4423i | 1.23228 | − | 0.415204i | ||||
\(899\) | 7.77695 | − | 11.4701i | 0.259376 | − | 0.382551i | ||||
\(900\) | 1.05927 | + | 0.490069i | 0.0353089 | + | 0.0163356i | ||||
\(901\) | 2.06758 | − | 2.43415i | 0.0688812 | − | 0.0810932i | ||||
\(902\) | 27.9734 | + | 26.4978i | 0.931412 | + | 0.882281i | ||||
\(903\) | −15.7803 | − | 1.71621i | −0.525135 | − | 0.0571119i | ||||
\(904\) | −14.1986 | − | 35.6357i | −0.472237 | − | 1.18523i | ||||
\(905\) | −0.716165 | − | 4.36841i | −0.0238061 | − | 0.145211i | ||||
\(906\) | −0.746322 | − | 1.10074i | −0.0247949 | − | 0.0365697i | ||||
\(907\) | 9.10056 | + | 6.91807i | 0.302179 | + | 0.229711i | 0.745265 | − | 0.666769i | \(-0.232323\pi\) |
−0.443086 | + | 0.896479i | \(0.646116\pi\) | |||||||
\(908\) | 3.67539 | − | 0.399723i | 0.121972 | − | 0.0132653i | ||||
\(909\) | 7.46308 | + | 14.0769i | 0.247535 | + | 0.466900i | ||||
\(910\) | 9.30090 | + | 5.59617i | 0.308322 | + | 0.185511i | ||||
\(911\) | −27.4430 | + | 16.5119i | −0.909227 | + | 0.547064i | −0.891622 | − | 0.452781i | \(-0.850432\pi\) |
−0.0176053 | + | 0.999845i | \(0.505604\pi\) | |||||||
\(912\) | −7.45549 | + | 14.0626i | −0.246876 | + | 0.465658i | ||||
\(913\) | 6.80492 | − | 17.0791i | 0.225210 | − | 0.565235i | ||||
\(914\) | −21.1302 | − | 4.65110i | −0.698924 | − | 0.153845i | ||||
\(915\) | −1.10239 | − | 0.242655i | −0.0364440 | − | 0.00802193i | ||||
\(916\) | −1.65083 | + | 4.14326i | −0.0545449 | + | 0.136897i | ||||
\(917\) | −25.7419 | + | 48.5545i | −0.850074 | + | 1.60341i | ||||
\(918\) | −1.36593 | + | 0.821856i | −0.0450826 | + | 0.0271253i | ||||
\(919\) | 16.2344 | + | 9.76790i | 0.535523 | + | 0.322213i | 0.757496 | − | 0.652839i | \(-0.226422\pi\) |
−0.221974 | + | 0.975053i | \(0.571250\pi\) | |||||||
\(920\) | 3.69493 | + | 6.96937i | 0.121818 | + | 0.229773i | ||||
\(921\) | 6.20029 | − | 0.674322i | 0.204306 | − | 0.0222197i | ||||
\(922\) | −4.88263 | − | 3.71168i | −0.160801 | − | 0.122238i | ||||
\(923\) | −4.70236 | − | 6.93546i | −0.154780 | − | 0.228283i | ||||
\(924\) | −0.464566 | − | 2.83373i | −0.0152831 | − | 0.0932228i | ||||
\(925\) | 16.6250 | + | 41.7256i | 0.546627 | + | 1.37193i | ||||
\(926\) | 0.0403571 | + | 0.00438910i | 0.00132622 | + | 0.000144235i | ||||
\(927\) | −4.28211 | − | 4.05623i | −0.140643 | − | 0.133224i | ||||
\(928\) | 1.43969 | − | 1.69493i | 0.0472600 | − | 0.0556388i | ||||
\(929\) | 49.6924 | + | 22.9902i | 1.63036 | + | 0.754283i | 0.999762 | − | 0.0218292i | \(-0.00694899\pi\) |
0.630595 | + | 0.776112i | \(0.282811\pi\) | |||||||
\(930\) | 2.50737 | − | 3.69809i | 0.0822199 | − | 0.121265i | ||||
\(931\) | −28.5631 | + | 9.62404i | −0.936119 | + | 0.315415i | ||||
\(932\) | 1.35221 | + | 4.87022i | 0.0442931 | + | 0.159529i | ||||
\(933\) | −9.90972 | − | 11.6666i | −0.324430 | − | 0.381948i | ||||
\(934\) | 0.263912 | − | 4.86757i | 0.00863546 | − | 0.159272i | ||||
\(935\) | −1.46927 | − | 0.495054i | −0.0480502 | − | 0.0161900i | ||||
\(936\) | 13.1958 | − | 10.0312i | 0.431318 | − | 0.327879i | ||||
\(937\) | −1.00602 | + | 0.952954i | −0.0328653 | + | 0.0311316i | −0.703956 | − | 0.710244i | \(-0.748585\pi\) |
0.671091 | + | 0.741375i | \(0.265826\pi\) | |||||||
\(938\) | 2.34895 | + | 43.3238i | 0.0766958 | + | 1.41457i | ||||
\(939\) | 6.50939 | − | 23.4447i | 0.212426 | − | 0.765089i | ||||
\(940\) | −0.428057 | + | 0.198040i | −0.0139617 | + | 0.00645936i | ||||
\(941\) | 4.28165 | − | 26.1169i | 0.139578 | − | 0.851386i | −0.820499 | − | 0.571648i | \(-0.806304\pi\) |
0.960076 | − | 0.279738i | \(-0.0902476\pi\) | |||||||
\(942\) | 29.0726 | − | 6.39937i | 0.947237 | − | 0.208503i | ||||
\(943\) | −59.7776 | −1.94663 | ||||||||
\(944\) | 15.8487 | − | 21.3311i | 0.515833 | − | 0.694268i | ||||
\(945\) | 1.46759 | 0.0477407 | ||||||||
\(946\) | 18.0702 | − | 3.97755i | 0.587513 | − | 0.129321i | ||||
\(947\) | 0.366591 | − | 2.23611i | 0.0119126 | − | 0.0726637i | −0.980201 | − | 0.198004i | \(-0.936554\pi\) |
0.992114 | + | 0.125340i | \(0.0400023\pi\) | |||||||
\(948\) | −0.373455 | + | 0.172779i | −0.0121292 | + | 0.00561159i | ||||
\(949\) | 13.2741 | − | 47.8090i | 0.430896 | − | 1.55195i | ||||
\(950\) | 1.59914 | + | 29.4944i | 0.0518829 | + | 0.956924i | ||||
\(951\) | −0.396901 | + | 0.375965i | −0.0128704 | + | 0.0121915i | ||||
\(952\) | −10.4698 | + | 7.95895i | −0.339329 | + | 0.257951i | ||||
\(953\) | −10.7212 | − | 3.61238i | −0.347293 | − | 0.117017i | 0.140249 | − | 0.990116i | \(-0.455210\pi\) |
−0.487542 | + | 0.873100i | \(0.662106\pi\) | |||||||
\(954\) | 0.190779 | − | 3.51871i | 0.00617670 | − | 0.113923i | ||||
\(955\) | 6.67064 | + | 7.85329i | 0.215857 | + | 0.254126i | ||||
\(956\) | 1.39828 | + | 5.03615i | 0.0452236 | + | 0.162881i | ||||
\(957\) | −5.02821 | + | 1.69420i | −0.162539 | + | 0.0547658i | ||||
\(958\) | 18.4395 | − | 27.1962i | 0.595752 | − | 0.878668i | ||||
\(959\) | −38.1849 | − | 17.6662i | −1.23306 | − | 0.570473i | ||||
\(960\) | 2.25000 | − | 2.64891i | 0.0726186 | − | 0.0854932i | ||||
\(961\) | −29.3372 | − | 27.7897i | −0.946363 | − | 0.896443i | ||||
\(962\) | 68.2206 | + | 7.41944i | 2.19952 | + | 0.239212i | ||||
\(963\) | −2.98446 | − | 7.49042i | −0.0961728 | − | 0.241375i | ||||
\(964\) | −1.04225 | − | 6.35743i | −0.0335686 | − | 0.204759i | ||||
\(965\) | 2.08497 | + | 3.07509i | 0.0671174 | + | 0.0989908i | ||||
\(966\) | −25.8743 | − | 19.6692i | −0.832493 | − | 0.632845i | ||||
\(967\) | 10.5509 | − | 1.14748i | 0.339294 | − | 0.0369005i | 0.0631140 | − | 0.998006i | \(-0.479897\pi\) |
0.276180 | + | 0.961106i | \(0.410931\pi\) | |||||||
\(968\) | −0.740037 | − | 1.39586i | −0.0237857 | − | 0.0448646i | ||||
\(969\) | 4.73830 | + | 2.85094i | 0.152216 | + | 0.0915854i | ||||
\(970\) | 2.63444 | − | 1.58509i | 0.0845869 | − | 0.0508943i | ||||
\(971\) | 11.4957 | − | 21.6832i | 0.368914 | − | 0.695846i | −0.627666 | − | 0.778483i | \(-0.715989\pi\) |
0.996580 | + | 0.0826372i | \(0.0263343\pi\) | |||||||
\(972\) | 0.0892372 | − | 0.223968i | 0.00286228 | − | 0.00718379i | ||||
\(973\) | 14.6977 | + | 3.23521i | 0.471188 | + | 0.103716i | ||||
\(974\) | 48.0929 | + | 10.5861i | 1.54100 | + | 0.339199i | ||||
\(975\) | 9.99299 | − | 25.0805i | 0.320032 | − | 0.803219i | ||||
\(976\) | 4.58841 | − | 8.65467i | 0.146872 | − | 0.277029i | ||||
\(977\) | −12.0683 | + | 7.26126i | −0.386099 | + | 0.232308i | −0.695348 | − | 0.718673i | \(-0.744750\pi\) |
0.309249 | + | 0.950981i | \(0.399922\pi\) | |||||||
\(978\) | 6.37786 | + | 3.83743i | 0.203942 | + | 0.122708i | ||||
\(979\) | 27.7056 | + | 52.2583i | 0.885474 | + | 1.67018i | ||||
\(980\) | 0.626010 | − | 0.0680827i | 0.0199972 | − | 0.00217482i | ||||
\(981\) | −8.78255 | − | 6.67632i | −0.280405 | − | 0.213158i | ||||
\(982\) | 16.9571 | + | 25.0099i | 0.541124 | + | 0.798098i | ||||
\(983\) | −9.04830 | − | 55.1922i | −0.288596 | − | 1.76036i | −0.590517 | − | 0.807025i | \(-0.701076\pi\) |
0.301921 | − | 0.953333i | \(-0.402372\pi\) | |||||||
\(984\) | 9.87856 | + | 24.7933i | 0.314917 | + | 0.790382i | ||||
\(985\) | −2.69141 | − | 0.292709i | −0.0857556 | − | 0.00932648i | ||||
\(986\) | 1.89792 | + | 1.79781i | 0.0604422 | + | 0.0572539i | ||||
\(987\) | 11.6946 | − | 13.7679i | 0.372242 | − | 0.438237i | ||||
\(988\) | −5.61396 | − | 2.59730i | −0.178604 | − | 0.0826310i | ||||
\(989\) | −16.1091 | + | 23.7592i | −0.512240 | + | 0.755498i | ||||
\(990\) | −1.62115 | + | 0.546228i | −0.0515234 | + | 0.0173603i | ||||
\(991\) | 7.99292 | + | 28.7879i | 0.253903 | + | 0.914477i | 0.975103 | + | 0.221751i | \(0.0711771\pi\) |
−0.721200 | + | 0.692727i | \(0.756409\pi\) | |||||||
\(992\) | −7.41862 | − | 8.73388i | −0.235542 | − | 0.277301i | ||||
\(993\) | −0.312019 | + | 5.75486i | −0.00990164 | + | 0.182625i | ||||
\(994\) | 6.95156 | + | 2.34225i | 0.220490 | + | 0.0742918i | ||||
\(995\) | 0.443153 | − | 0.336876i | 0.0140489 | − | 0.0106797i | ||||
\(996\) | 0.994567 | − | 0.942104i | 0.0315141 | − | 0.0298517i | ||||
\(997\) | −1.16781 | − | 21.5391i | −0.0369851 | − | 0.682149i | −0.956968 | − | 0.290192i | \(-0.906281\pi\) |
0.919983 | − | 0.391957i | \(-0.128202\pi\) | |||||||
\(998\) | −5.68684 | + | 20.4821i | −0.180014 | + | 0.648351i | ||||
\(999\) | 8.42054 | − | 3.89575i | 0.266414 | − | 0.123256i |
(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 | 177.2.e.a.166.2 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.c.343.4 | 140 | |||
59.16 | even | 29 | inner | 177.2.e.a.16.2 | ✓ | 140 | |
177.134 | odd | 58 | 531.2.i.c.370.4 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.a.16.2 | ✓ | 140 | 59.16 | even | 29 | inner | |
177.2.e.a.166.2 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.c.343.4 | 140 | 3.2 | odd | 2 | |||
531.2.i.c.370.4 | 140 | 177.134 | odd | 58 |