Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 625.15 | ||
Character | \(\chi\) | \(=\) | 637.625 |
Dual form | 637.2.bl.b.53.15 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{16}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.168293 | − | 0.114740i | 0.119001 | − | 0.0811338i | −0.502357 | − | 0.864660i | \(-0.667534\pi\) |
0.621358 | + | 0.783527i | \(0.286581\pi\) | |||||||
\(3\) | 2.17291 | − | 2.01616i | 1.25453 | − | 1.16403i | 0.275282 | − | 0.961363i | \(-0.411229\pi\) |
0.979247 | − | 0.202670i | \(-0.0649618\pi\) | |||||||
\(4\) | −0.715525 | + | 1.82313i | −0.357762 | + | 0.911564i | ||||
\(5\) | 0.954892 | + | 0.294545i | 0.427041 | + | 0.131725i | 0.500823 | − | 0.865550i | \(-0.333031\pi\) |
−0.0737822 | + | 0.997274i | \(0.523507\pi\) | |||||||
\(6\) | 0.134350 | − | 0.588628i | 0.0548483 | − | 0.240306i | ||||
\(7\) | −0.383890 | − | 2.61775i | −0.145097 | − | 0.989417i | ||||
\(8\) | 0.179417 | + | 0.786079i | 0.0634336 | + | 0.277921i | ||||
\(9\) | 0.432422 | − | 5.77027i | 0.144141 | − | 1.92342i | ||||
\(10\) | 0.194498 | − | 0.0599948i | 0.0615058 | − | 0.0189720i | ||||
\(11\) | −0.109333 | − | 1.45895i | −0.0329652 | − | 0.439890i | −0.989128 | − | 0.147055i | \(-0.953020\pi\) |
0.956163 | − | 0.292835i | \(-0.0945986\pi\) | |||||||
\(12\) | 2.12096 | + | 5.40411i | 0.612267 | + | 1.56003i | ||||
\(13\) | −0.900969 | − | 0.433884i | −0.249884 | − | 0.120338i | ||||
\(14\) | −0.364968 | − | 0.396503i | −0.0975419 | − | 0.105970i | ||||
\(15\) | 2.66874 | − | 1.28520i | 0.689067 | − | 0.331837i | ||||
\(16\) | −2.75099 | − | 2.55255i | −0.687748 | − | 0.638137i | ||||
\(17\) | 4.78751 | + | 0.721601i | 1.16114 | + | 0.175014i | 0.701220 | − | 0.712945i | \(-0.252639\pi\) |
0.459922 | + | 0.887959i | \(0.347877\pi\) | |||||||
\(18\) | −0.589310 | − | 1.02072i | −0.138902 | − | 0.240585i | ||||
\(19\) | 0.372531 | − | 0.645243i | 0.0854645 | − | 0.148029i | −0.820125 | − | 0.572185i | \(-0.806096\pi\) |
0.905589 | + | 0.424156i | \(0.139429\pi\) | |||||||
\(20\) | −1.22024 | + | 1.53014i | −0.272854 | + | 0.342149i | ||||
\(21\) | −6.11198 | − | 4.91415i | −1.33374 | − | 1.07236i | ||||
\(22\) | −0.185801 | − | 0.232987i | −0.0396129 | − | 0.0496730i | ||||
\(23\) | 4.24105 | − | 0.639235i | 0.884320 | − | 0.133290i | 0.308848 | − | 0.951111i | \(-0.400057\pi\) |
0.575472 | + | 0.817822i | \(0.304818\pi\) | |||||||
\(24\) | 1.97472 | + | 1.34634i | 0.403088 | + | 0.274821i | ||||
\(25\) | −3.30613 | − | 2.25408i | −0.661226 | − | 0.450817i | ||||
\(26\) | −0.201411 | + | 0.0303578i | −0.0395000 | + | 0.00595366i | ||||
\(27\) | −5.14977 | − | 6.45761i | −0.991074 | − | 1.24277i | ||||
\(28\) | 5.04718 | + | 1.17319i | 0.953827 | + | 0.221711i | ||||
\(29\) | 1.92439 | − | 2.41311i | 0.357351 | − | 0.448104i | −0.570365 | − | 0.821391i | \(-0.693198\pi\) |
0.927716 | + | 0.373288i | \(0.121770\pi\) | |||||||
\(30\) | 0.301668 | − | 0.522504i | 0.0550767 | − | 0.0953957i | ||||
\(31\) | 3.10680 | + | 5.38113i | 0.557997 | + | 0.966480i | 0.997664 | + | 0.0683184i | \(0.0217634\pi\) |
−0.439666 | + | 0.898161i | \(0.644903\pi\) | |||||||
\(32\) | −2.35043 | − | 0.354270i | −0.415501 | − | 0.0626268i | ||||
\(33\) | −3.17906 | − | 2.94973i | −0.553403 | − | 0.513483i | ||||
\(34\) | 0.888504 | − | 0.427881i | 0.152377 | − | 0.0733809i | ||||
\(35\) | 0.404473 | − | 2.61274i | 0.0683684 | − | 0.441634i | ||||
\(36\) | 10.2105 | + | 4.91713i | 1.70176 | + | 0.819522i | ||||
\(37\) | 2.27071 | + | 5.78568i | 0.373303 | + | 0.951159i | 0.986870 | + | 0.161517i | \(0.0516387\pi\) |
−0.613567 | + | 0.789642i | \(0.710266\pi\) | |||||||
\(38\) | −0.0113409 | − | 0.151334i | −0.00183974 | − | 0.0245497i | ||||
\(39\) | −2.83250 | + | 0.873712i | −0.453564 | + | 0.139906i | ||||
\(40\) | −0.0602115 | + | 0.803467i | −0.00952027 | + | 0.127039i | ||||
\(41\) | 1.39472 | + | 6.11066i | 0.217818 | + | 0.954324i | 0.959086 | + | 0.283115i | \(0.0913677\pi\) |
−0.741268 | + | 0.671209i | \(0.765775\pi\) | |||||||
\(42\) | −1.59246 | − | 0.125728i | −0.245722 | − | 0.0194003i | ||||
\(43\) | −0.925520 | + | 4.05497i | −0.141141 | + | 0.618377i | 0.854031 | + | 0.520223i | \(0.174151\pi\) |
−0.995171 | + | 0.0981544i | \(0.968706\pi\) | |||||||
\(44\) | 2.73808 | + | 0.844587i | 0.412782 | + | 0.127326i | ||||
\(45\) | 2.11252 | − | 5.38262i | 0.314916 | − | 0.802394i | ||||
\(46\) | 0.640394 | − | 0.594199i | 0.0944210 | − | 0.0876099i | ||||
\(47\) | −1.59745 | + | 1.08913i | −0.233013 | + | 0.158865i | −0.674198 | − | 0.738551i | \(-0.735511\pi\) |
0.441185 | + | 0.897416i | \(0.354558\pi\) | |||||||
\(48\) | −11.1240 | −1.60561 | ||||||||
\(49\) | −6.70526 | + | 2.00986i | −0.957894 | + | 0.287122i | ||||
\(50\) | −0.815035 | −0.115263 | ||||||||
\(51\) | 11.8577 | − | 8.08444i | 1.66041 | − | 1.13205i | ||||
\(52\) | 1.43569 | − | 1.33213i | 0.199094 | − | 0.184733i | ||||
\(53\) | −1.35157 | + | 3.44375i | −0.185653 | + | 0.473036i | −0.993152 | − | 0.116834i | \(-0.962726\pi\) |
0.807499 | + | 0.589870i | \(0.200821\pi\) | |||||||
\(54\) | −1.60762 | − | 0.495886i | −0.218770 | − | 0.0674815i | ||||
\(55\) | 0.325326 | − | 1.42534i | 0.0438669 | − | 0.192193i | ||||
\(56\) | 1.98888 | − | 0.771438i | 0.265776 | − | 0.103088i | ||||
\(57\) | −0.491440 | − | 2.15314i | −0.0650928 | − | 0.285190i | ||||
\(58\) | 0.0469809 | − | 0.626917i | 0.00616890 | − | 0.0823182i | ||||
\(59\) | −4.50835 | + | 1.39064i | −0.586937 | + | 0.181046i | −0.573979 | − | 0.818870i | \(-0.694601\pi\) |
−0.0129580 | + | 0.999916i | \(0.504125\pi\) | |||||||
\(60\) | 0.433530 | + | 5.78505i | 0.0559685 | + | 0.746847i | ||||
\(61\) | −1.97287 | − | 5.02679i | −0.252600 | − | 0.643615i | 0.747179 | − | 0.664623i | \(-0.231408\pi\) |
−0.999779 | + | 0.0210079i | \(0.993312\pi\) | |||||||
\(62\) | 1.14029 | + | 0.549133i | 0.144817 | + | 0.0697400i | ||||
\(63\) | −15.2712 | + | 1.08317i | −1.92398 | + | 0.136467i | ||||
\(64\) | 6.32609 | − | 3.04648i | 0.790761 | − | 0.380810i | ||||
\(65\) | −0.732530 | − | 0.679688i | −0.0908591 | − | 0.0843049i | ||||
\(66\) | −0.873468 | − | 0.131654i | −0.107517 | − | 0.0162055i | ||||
\(67\) | 6.31976 | + | 10.9461i | 0.772082 | + | 1.33728i | 0.936420 | + | 0.350881i | \(0.114118\pi\) |
−0.164338 | + | 0.986404i | \(0.552549\pi\) | |||||||
\(68\) | −4.74115 | + | 8.21192i | −0.574949 | + | 0.995842i | ||||
\(69\) | 7.92661 | − | 9.93965i | 0.954251 | − | 1.19659i | ||||
\(70\) | −0.231717 | − | 0.486117i | −0.0276955 | − | 0.0581021i | ||||
\(71\) | −6.88071 | − | 8.62814i | −0.816590 | − | 1.02397i | −0.999168 | − | 0.0407800i | \(-0.987016\pi\) |
0.182578 | − | 0.983191i | \(-0.441556\pi\) | |||||||
\(72\) | 4.61347 | − | 0.695369i | 0.543703 | − | 0.0819500i | ||||
\(73\) | −12.5906 | − | 8.58410i | −1.47361 | − | 1.00469i | −0.991714 | − | 0.128467i | \(-0.958994\pi\) |
−0.481900 | − | 0.876226i | \(-0.660053\pi\) | |||||||
\(74\) | 1.04600 | + | 0.713149i | 0.121595 | + | 0.0829018i | ||||
\(75\) | −11.7285 | + | 1.76779i | −1.35429 | + | 0.204127i | ||||
\(76\) | 0.909804 | + | 1.14086i | 0.104362 | + | 0.130865i | ||||
\(77\) | −3.77720 | + | 0.846284i | −0.430452 | + | 0.0964430i | ||||
\(78\) | −0.376442 | + | 0.472043i | −0.0426236 | + | 0.0534483i | ||||
\(79\) | −1.38801 | + | 2.40410i | −0.156163 | + | 0.270482i | −0.933482 | − | 0.358625i | \(-0.883246\pi\) |
0.777319 | + | 0.629107i | \(0.216579\pi\) | |||||||
\(80\) | −1.87506 | − | 3.24770i | −0.209638 | − | 0.363104i | ||||
\(81\) | −7.04412 | − | 1.06173i | −0.782680 | − | 0.117970i | ||||
\(82\) | 0.935861 | + | 0.868352i | 0.103349 | + | 0.0958935i | ||||
\(83\) | −13.0617 | + | 6.29017i | −1.43371 | + | 0.690436i | −0.979683 | − | 0.200553i | \(-0.935726\pi\) |
−0.454023 | + | 0.890990i | \(0.650012\pi\) | |||||||
\(84\) | 13.3324 | − | 7.62672i | 1.45468 | − | 0.832143i | ||||
\(85\) | 4.35901 | + | 2.09919i | 0.472801 | + | 0.227689i | ||||
\(86\) | 0.309510 | + | 0.788619i | 0.0333753 | + | 0.0850390i | ||||
\(87\) | −0.683702 | − | 9.12337i | −0.0733005 | − | 0.978128i | ||||
\(88\) | 1.12723 | − | 0.347706i | 0.120164 | − | 0.0370655i | ||||
\(89\) | −0.106369 | + | 1.41940i | −0.0112751 | + | 0.150456i | 0.988725 | + | 0.149745i | \(0.0478454\pi\) |
−1.00000 | 0.000710978i | \(0.999774\pi\) | ||||||||
\(90\) | −0.262081 | − | 1.14825i | −0.0276257 | − | 0.121036i | ||||
\(91\) | −0.789928 | + | 2.52508i | −0.0828069 | + | 0.264700i | ||||
\(92\) | −1.86917 | + | 8.18936i | −0.194874 | + | 0.853800i | ||||
\(93\) | 17.6000 | + | 5.42889i | 1.82504 | + | 0.562950i | ||||
\(94\) | −0.143874 | + | 0.366586i | −0.0148395 | + | 0.0378104i | ||||
\(95\) | 0.545780 | − | 0.506410i | 0.0559958 | − | 0.0519565i | ||||
\(96\) | −5.82154 | + | 3.96906i | −0.594158 | + | 0.405090i | ||||
\(97\) | −3.09213 | −0.313958 | −0.156979 | − | 0.987602i | \(-0.550176\pi\) | ||||
−0.156979 | + | 0.987602i | \(0.550176\pi\) | |||||||
\(98\) | −0.897839 | + | 1.10761i | −0.0906954 | + | 0.111886i | ||||
\(99\) | −8.46583 | −0.850847 | ||||||||
\(100\) | 6.47510 | − | 4.41465i | 0.647510 | − | 0.441465i | ||||
\(101\) | −0.510035 | + | 0.473243i | −0.0507504 | + | 0.0470895i | −0.705140 | − | 0.709068i | \(-0.749116\pi\) |
0.654390 | + | 0.756157i | \(0.272926\pi\) | |||||||
\(102\) | 1.06796 | − | 2.72112i | 0.105744 | − | 0.269431i | ||||
\(103\) | 16.4484 | + | 5.07367i | 1.62071 | + | 0.499924i | 0.966560 | − | 0.256439i | \(-0.0825492\pi\) |
0.654153 | + | 0.756363i | \(0.273025\pi\) | |||||||
\(104\) | 0.179417 | − | 0.786079i | 0.0175933 | − | 0.0770813i | ||||
\(105\) | −4.38884 | − | 6.49274i | −0.428307 | − | 0.633626i | ||||
\(106\) | 0.167677 | + | 0.734641i | 0.0162862 | + | 0.0713547i | ||||
\(107\) | −1.11214 | + | 14.8405i | −0.107515 | + | 1.43469i | 0.638942 | + | 0.769255i | \(0.279372\pi\) |
−0.746457 | + | 0.665433i | \(0.768247\pi\) | |||||||
\(108\) | 15.4578 | − | 4.76811i | 1.48743 | − | 0.458812i | ||||
\(109\) | −0.0902910 | − | 1.20485i | −0.00864831 | − | 0.115404i | 0.991209 | − | 0.132307i | \(-0.0422384\pi\) |
−0.999857 | + | 0.0169031i | \(0.994619\pi\) | |||||||
\(110\) | −0.108795 | − | 0.277204i | −0.0103732 | − | 0.0264304i | ||||
\(111\) | 16.5989 | + | 7.99362i | 1.57550 | + | 0.758721i | ||||
\(112\) | −5.62586 | + | 8.18131i | −0.531594 | + | 0.773061i | ||||
\(113\) | −3.60697 | + | 1.73702i | −0.339315 | + | 0.163406i | −0.595779 | − | 0.803148i | \(-0.703157\pi\) |
0.256464 | + | 0.966554i | \(0.417442\pi\) | |||||||
\(114\) | −0.329758 | − | 0.305971i | −0.0308847 | − | 0.0286568i | ||||
\(115\) | 4.23803 | + | 0.638780i | 0.395198 | + | 0.0595665i | ||||
\(116\) | 3.02246 | + | 5.23506i | 0.280628 | + | 0.486063i | ||||
\(117\) | −2.89323 | + | 5.01122i | −0.267479 | + | 0.463287i | ||||
\(118\) | −0.599163 | + | 0.751326i | −0.0551574 | + | 0.0691652i | ||||
\(119\) | 0.0510970 | − | 12.8095i | 0.00468405 | − | 1.17425i | ||||
\(120\) | 1.48909 | + | 1.86726i | 0.135934 | + | 0.170456i | ||||
\(121\) | 8.76055 | − | 1.32044i | 0.796414 | − | 0.120040i | ||||
\(122\) | −0.908798 | − | 0.619608i | −0.0822787 | − | 0.0560967i | ||||
\(123\) | 15.3507 | + | 10.4659i | 1.38412 | + | 0.943680i | ||||
\(124\) | −12.0335 | + | 1.81375i | −1.08064 | + | 0.162880i | ||||
\(125\) | −5.60830 | − | 7.03258i | −0.501621 | − | 0.629013i | ||||
\(126\) | −2.44575 | + | 1.93451i | −0.217885 | + | 0.172340i | ||||
\(127\) | 9.90271 | − | 12.4176i | 0.878724 | − | 1.10188i | −0.115366 | − | 0.993323i | \(-0.536804\pi\) |
0.994090 | − | 0.108562i | \(-0.0346245\pi\) | |||||||
\(128\) | 3.09206 | − | 5.35561i | 0.273302 | − | 0.473374i | ||||
\(129\) | 6.16442 | + | 10.6771i | 0.542747 | + | 0.940065i | ||||
\(130\) | −0.201268 | − | 0.0303362i | −0.0176523 | − | 0.00266066i | ||||
\(131\) | 5.89841 | + | 5.47292i | 0.515346 | + | 0.478171i | 0.894441 | − | 0.447187i | \(-0.147574\pi\) |
−0.379094 | + | 0.925358i | \(0.623764\pi\) | |||||||
\(132\) | 7.65243 | − | 3.68522i | 0.666059 | − | 0.320757i | ||||
\(133\) | −1.83210 | − | 0.727492i | −0.158863 | − | 0.0630816i | ||||
\(134\) | 2.31954 | + | 1.11703i | 0.200378 | + | 0.0964969i | ||||
\(135\) | −3.01542 | − | 7.68316i | −0.259526 | − | 0.661261i | ||||
\(136\) | 0.291727 | + | 3.89283i | 0.0250154 | + | 0.333807i | ||||
\(137\) | −6.61164 | + | 2.03942i | −0.564870 | + | 0.174239i | −0.564021 | − | 0.825760i | \(-0.690746\pi\) |
−0.000849082 | 1.00000i | \(0.500270\pi\) | ||||||||
\(138\) | 0.193515 | − | 2.58228i | 0.0164731 | − | 0.219818i | ||||
\(139\) | 1.63890 | + | 7.18048i | 0.139009 | + | 0.609040i | 0.995654 | + | 0.0931327i | \(0.0296881\pi\) |
−0.856644 | + | 0.515908i | \(0.827455\pi\) | |||||||
\(140\) | 4.47395 | + | 2.60689i | 0.378118 | + | 0.220322i | ||||
\(141\) | −1.27527 | + | 5.58730i | −0.107397 | + | 0.470536i | ||||
\(142\) | −2.14797 | − | 0.662562i | −0.180254 | − | 0.0556010i | ||||
\(143\) | −0.534509 | + | 1.36191i | −0.0446979 | + | 0.113888i | ||||
\(144\) | −15.9185 | + | 14.7702i | −1.32654 | + | 1.23085i | ||||
\(145\) | 2.54836 | − | 1.73744i | 0.211630 | − | 0.144287i | ||||
\(146\) | −3.10385 | −0.256877 | ||||||||
\(147\) | −10.5177 | + | 17.8861i | −0.867486 | + | 1.47522i | ||||
\(148\) | −12.1728 | −1.00060 | ||||||||
\(149\) | 1.26562 | − | 0.862887i | 0.103684 | − | 0.0706905i | −0.510368 | − | 0.859956i | \(-0.670491\pi\) |
0.614052 | + | 0.789266i | \(0.289538\pi\) | |||||||
\(150\) | −1.77100 | + | 1.64324i | −0.144601 | + | 0.134170i | ||||
\(151\) | −4.50316 | + | 11.4739i | −0.366462 | + | 0.933729i | 0.622103 | + | 0.782935i | \(0.286278\pi\) |
−0.988565 | + | 0.150794i | \(0.951817\pi\) | |||||||
\(152\) | 0.574050 | + | 0.177071i | 0.0465616 | + | 0.0143623i | ||||
\(153\) | 6.23406 | − | 27.3132i | 0.503994 | − | 2.20814i | ||||
\(154\) | −0.538575 | + | 0.575822i | −0.0433996 | + | 0.0464010i | ||||
\(155\) | 1.38167 | + | 6.05349i | 0.110978 | + | 0.486228i | ||||
\(156\) | 0.433839 | − | 5.78918i | 0.0347349 | − | 0.463505i | ||||
\(157\) | −0.499128 | + | 0.153961i | −0.0398348 | + | 0.0122874i | −0.314609 | − | 0.949222i | \(-0.601873\pi\) |
0.274774 | + | 0.961509i | \(0.411397\pi\) | |||||||
\(158\) | 0.0422550 | + | 0.563854i | 0.00336163 | + | 0.0448578i | ||||
\(159\) | 4.00633 | + | 10.2080i | 0.317723 | + | 0.809544i | ||||
\(160\) | −2.14006 | − | 1.03060i | −0.169187 | − | 0.0814759i | ||||
\(161\) | −3.30145 | − | 10.8566i | −0.260191 | − | 0.855621i | ||||
\(162\) | −1.30730 | + | 0.629564i | −0.102711 | + | 0.0494632i | ||||
\(163\) | 1.31611 | + | 1.22117i | 0.103086 | + | 0.0956495i | 0.730032 | − | 0.683413i | \(-0.239505\pi\) |
−0.626947 | + | 0.779062i | \(0.715696\pi\) | |||||||
\(164\) | −12.1385 | − | 1.82958i | −0.947854 | − | 0.142866i | ||||
\(165\) | −2.16683 | − | 3.75305i | −0.168687 | − | 0.292175i | ||||
\(166\) | −1.47646 | + | 2.55730i | −0.114595 | + | 0.198485i | ||||
\(167\) | 3.55675 | − | 4.46003i | 0.275230 | − | 0.345127i | −0.624935 | − | 0.780677i | \(-0.714875\pi\) |
0.900165 | + | 0.435550i | \(0.143446\pi\) | |||||||
\(168\) | 2.76632 | − | 5.68618i | 0.213426 | − | 0.438698i | ||||
\(169\) | 0.623490 | + | 0.781831i | 0.0479608 | + | 0.0601409i | ||||
\(170\) | 0.974455 | − | 0.146875i | 0.0747373 | − | 0.0112648i | ||||
\(171\) | −3.56214 | − | 2.42862i | −0.272403 | − | 0.185721i | ||||
\(172\) | −6.73049 | − | 4.58877i | −0.513195 | − | 0.349891i | ||||
\(173\) | 12.4241 | − | 1.87263i | 0.944585 | − | 0.142373i | 0.341350 | − | 0.939936i | \(-0.389116\pi\) |
0.603236 | + | 0.797563i | \(0.293878\pi\) | |||||||
\(174\) | −1.16188 | − | 1.45695i | −0.0880821 | − | 0.110451i | ||||
\(175\) | −4.63144 | + | 9.51995i | −0.350104 | + | 0.719641i | ||||
\(176\) | −3.42327 | + | 4.29264i | −0.258038 | + | 0.323570i | ||||
\(177\) | −6.99247 | + | 12.1113i | −0.525586 | + | 0.910342i | ||||
\(178\) | 0.144962 | + | 0.251081i | 0.0108653 | + | 0.0188193i | ||||
\(179\) | −17.3591 | − | 2.61646i | −1.29748 | − | 0.195563i | −0.536257 | − | 0.844055i | \(-0.680162\pi\) |
−0.761222 | + | 0.648492i | \(0.775400\pi\) | |||||||
\(180\) | 8.30164 | + | 7.70280i | 0.618768 | + | 0.574133i | ||||
\(181\) | 6.29628 | − | 3.03213i | 0.467999 | − | 0.225376i | −0.184995 | − | 0.982739i | \(-0.559227\pi\) |
0.652994 | + | 0.757363i | \(0.273513\pi\) | |||||||
\(182\) | 0.156789 | + | 0.515590i | 0.0116220 | + | 0.0382181i | ||||
\(183\) | −14.4217 | − | 6.94513i | −1.06608 | − | 0.513399i | ||||
\(184\) | 1.26341 | + | 3.21911i | 0.0931396 | + | 0.237316i | ||||
\(185\) | 0.464140 | + | 6.19352i | 0.0341243 | + | 0.455357i | ||||
\(186\) | 3.58488 | − | 1.10579i | 0.262856 | − | 0.0810804i | ||||
\(187\) | 0.529347 | − | 7.06364i | 0.0387097 | − | 0.516545i | ||||
\(188\) | −0.842597 | − | 3.69166i | −0.0614527 | − | 0.269242i | ||||
\(189\) | −14.9275 | + | 15.9598i | −1.08581 | + | 1.16091i | ||||
\(190\) | 0.0337454 | − | 0.147848i | 0.00244815 | − | 0.0107261i | ||||
\(191\) | 24.5836 | + | 7.58304i | 1.77881 | + | 0.548689i | 0.997179 | − | 0.0750563i | \(-0.0239137\pi\) |
0.781627 | + | 0.623746i | \(0.214390\pi\) | |||||||
\(192\) | 7.60380 | − | 19.3742i | 0.548757 | − | 1.39821i | ||||
\(193\) | −6.13370 | + | 5.69124i | −0.441514 | + | 0.409665i | −0.869354 | − | 0.494189i | \(-0.835465\pi\) |
0.427841 | + | 0.903854i | \(0.359274\pi\) | |||||||
\(194\) | −0.520385 | + | 0.354792i | −0.0373614 | + | 0.0254726i | ||||
\(195\) | −2.96208 | −0.212119 | ||||||||
\(196\) | 1.13355 | − | 13.6626i | 0.0809681 | − | 0.975903i | ||||
\(197\) | −13.0826 | −0.932094 | −0.466047 | − | 0.884760i | \(-0.654322\pi\) | ||||
−0.466047 | + | 0.884760i | \(0.654322\pi\) | |||||||
\(198\) | −1.42474 | + | 0.971373i | −0.101252 | + | 0.0690325i | ||||
\(199\) | −11.3863 | + | 10.5650i | −0.807156 | + | 0.748932i | −0.971390 | − | 0.237490i | \(-0.923675\pi\) |
0.164234 | + | 0.986421i | \(0.447485\pi\) | |||||||
\(200\) | 1.17871 | − | 3.00330i | 0.0833473 | − | 0.212365i | ||||
\(201\) | 35.8015 | + | 11.0433i | 2.52524 | + | 0.778935i | ||||
\(202\) | −0.0315354 | + | 0.138165i | −0.00221882 | + | 0.00972128i | ||||
\(203\) | −7.05569 | − | 4.11122i | −0.495212 | − | 0.288551i | ||||
\(204\) | 6.25449 | + | 27.4027i | 0.437902 | + | 1.91857i | ||||
\(205\) | −0.468060 | + | 6.24582i | −0.0326907 | + | 0.436227i | ||||
\(206\) | 3.35032 | − | 1.03344i | 0.233428 | − | 0.0720029i | ||||
\(207\) | −1.85464 | − | 24.7484i | −0.128906 | − | 1.72013i | ||||
\(208\) | 1.37105 | + | 3.49338i | 0.0950652 | + | 0.242222i | ||||
\(209\) | −0.982107 | − | 0.472958i | −0.0679338 | − | 0.0327152i | ||||
\(210\) | −1.48359 | − | 0.589108i | −0.102378 | − | 0.0406523i | ||||
\(211\) | 17.4677 | − | 8.41199i | 1.20252 | − | 0.579105i | 0.278130 | − | 0.960543i | \(-0.410285\pi\) |
0.924394 | + | 0.381438i | \(0.124571\pi\) | |||||||
\(212\) | −5.31132 | − | 4.92818i | −0.364783 | − | 0.338469i | ||||
\(213\) | −32.3469 | − | 4.87551i | −2.21637 | − | 0.334064i | ||||
\(214\) | 1.51564 | + | 2.62517i | 0.103607 | + | 0.179453i | ||||
\(215\) | −2.07814 | + | 3.59945i | −0.141728 | + | 0.245481i | ||||
\(216\) | 4.15223 | − | 5.20673i | 0.282524 | − | 0.354273i | ||||
\(217\) | 12.8938 | − | 10.1986i | 0.875288 | − | 0.692325i | ||||
\(218\) | −0.153440 | − | 0.192408i | −0.0103923 | − | 0.0130315i | ||||
\(219\) | −44.6651 | + | 6.73218i | −3.01819 | + | 0.454919i | ||||
\(220\) | 2.36581 | + | 1.61298i | 0.159503 | + | 0.108747i | ||||
\(221\) | −4.00031 | − | 2.72736i | −0.269090 | − | 0.183462i | ||||
\(222\) | 3.71068 | − | 0.559295i | 0.249045 | − | 0.0375374i | ||||
\(223\) | 4.14318 | + | 5.19538i | 0.277448 | + | 0.347909i | 0.900958 | − | 0.433907i | \(-0.142865\pi\) |
−0.623510 | + | 0.781815i | \(0.714294\pi\) | |||||||
\(224\) | −0.0250861 | + | 6.28885i | −0.00167613 | + | 0.420191i | ||||
\(225\) | −14.4363 | + | 18.1026i | −0.962421 | + | 1.20684i | ||||
\(226\) | −0.407722 | + | 0.706195i | −0.0271213 | + | 0.0469754i | ||||
\(227\) | −0.0882917 | − | 0.152926i | −0.00586013 | − | 0.0101500i | 0.863080 | − | 0.505066i | \(-0.168532\pi\) |
−0.868941 | + | 0.494916i | \(0.835199\pi\) | |||||||
\(228\) | 4.27708 | + | 0.644666i | 0.283257 | + | 0.0426941i | ||||
\(229\) | 3.63725 | + | 3.37488i | 0.240357 | + | 0.223018i | 0.791148 | − | 0.611624i | \(-0.209484\pi\) |
−0.550792 | + | 0.834643i | \(0.685674\pi\) | |||||||
\(230\) | 0.786526 | − | 0.378771i | 0.0518620 | − | 0.0249754i | ||||
\(231\) | −6.50127 | + | 9.45436i | −0.427752 | + | 0.622051i | ||||
\(232\) | 2.24217 | + | 1.07977i | 0.147205 | + | 0.0708904i | ||||
\(233\) | −5.61694 | − | 14.3117i | −0.367978 | − | 0.937592i | −0.988200 | − | 0.153166i | \(-0.951053\pi\) |
0.620223 | − | 0.784426i | \(-0.287042\pi\) | |||||||
\(234\) | 0.0880784 | + | 1.17532i | 0.00575787 | + | 0.0768334i | ||||
\(235\) | −1.84619 | + | 0.569475i | −0.120432 | + | 0.0371485i | ||||
\(236\) | 0.690519 | − | 9.21433i | 0.0449490 | − | 0.599802i | ||||
\(237\) | 1.83104 | + | 8.02233i | 0.118939 | + | 0.521106i | ||||
\(238\) | −1.46117 | − | 2.16162i | −0.0947138 | − | 0.140117i | ||||
\(239\) | −5.98366 | + | 26.2161i | −0.387051 | + | 1.69578i | 0.287689 | + | 0.957724i | \(0.407113\pi\) |
−0.674740 | + | 0.738056i | \(0.735744\pi\) | |||||||
\(240\) | −10.6222 | − | 3.27652i | −0.685662 | − | 0.211499i | ||||
\(241\) | 11.0457 | − | 28.1440i | 0.711516 | − | 1.81291i | 0.143953 | − | 0.989585i | \(-0.454019\pi\) |
0.567564 | − | 0.823330i | \(-0.307886\pi\) | |||||||
\(242\) | 1.32284 | − | 1.22741i | 0.0850351 | − | 0.0789010i | ||||
\(243\) | 3.02633 | − | 2.06332i | 0.194139 | − | 0.132362i | ||||
\(244\) | 10.5761 | 0.677067 | ||||||||
\(245\) | −6.99479 | − | 0.0558050i | −0.446881 | − | 0.00356525i | ||||
\(246\) | 3.78428 | 0.241277 | ||||||||
\(247\) | −0.615599 | + | 0.419708i | −0.0391696 | + | 0.0267054i | ||||
\(248\) | −3.67258 | + | 3.40765i | −0.233209 | + | 0.216386i | ||||
\(249\) | −15.6998 | + | 40.0025i | −0.994936 | + | 2.53505i | ||||
\(250\) | −1.75076 | − | 0.540038i | −0.110728 | − | 0.0341550i | ||||
\(251\) | −1.18269 | + | 5.18170i | −0.0746506 | + | 0.327066i | −0.998440 | − | 0.0558353i | \(-0.982218\pi\) |
0.923789 | + | 0.382901i | \(0.125075\pi\) | |||||||
\(252\) | 8.95212 | − | 28.6163i | 0.563931 | − | 1.80266i | ||||
\(253\) | −1.39630 | − | 6.11759i | −0.0877847 | − | 0.384610i | ||||
\(254\) | 0.241759 | − | 3.22604i | 0.0151693 | − | 0.202420i | ||||
\(255\) | 13.7041 | − | 4.22714i | 0.858181 | − | 0.264714i | ||||
\(256\) | 0.955292 | + | 12.7475i | 0.0597058 | + | 0.796718i | ||||
\(257\) | −8.56230 | − | 21.8164i | −0.534102 | − | 1.36087i | −0.902295 | − | 0.431119i | \(-0.858119\pi\) |
0.368193 | − | 0.929749i | \(-0.379976\pi\) | |||||||
\(258\) | 2.26252 | + | 1.08957i | 0.140859 | + | 0.0678339i | ||||
\(259\) | 14.2738 | − | 8.16522i | 0.886929 | − | 0.507362i | ||||
\(260\) | 1.76330 | − | 0.849161i | 0.109355 | − | 0.0526627i | ||||
\(261\) | −13.0922 | − | 12.1478i | −0.810385 | − | 0.751927i | ||||
\(262\) | 1.62063 | + | 0.244270i | 0.100123 | + | 0.0150911i | ||||
\(263\) | −15.1267 | − | 26.2003i | −0.932755 | − | 1.61558i | −0.778589 | − | 0.627535i | \(-0.784064\pi\) |
−0.154167 | − | 0.988045i | \(-0.549269\pi\) | |||||||
\(264\) | 1.74834 | − | 3.02822i | 0.107603 | − | 0.186374i | ||||
\(265\) | −2.30495 | + | 2.89031i | −0.141592 | + | 0.177551i | ||||
\(266\) | −0.391802 | + | 0.0877835i | −0.0240230 | + | 0.00538235i | ||||
\(267\) | 2.63062 | + | 3.29869i | 0.160991 | + | 0.201876i | ||||
\(268\) | −24.4782 | + | 3.68949i | −1.49524 | + | 0.225372i | ||||
\(269\) | −23.0413 | − | 15.7093i | −1.40485 | − | 0.957813i | −0.999038 | − | 0.0438579i | \(-0.986035\pi\) |
−0.405816 | − | 0.913955i | \(-0.633013\pi\) | |||||||
\(270\) | −1.38904 | − | 0.947035i | −0.0845346 | − | 0.0576347i | ||||
\(271\) | 17.8010 | − | 2.68307i | 1.08133 | − | 0.162985i | 0.415876 | − | 0.909421i | \(-0.363475\pi\) |
0.665456 | + | 0.746437i | \(0.268237\pi\) | |||||||
\(272\) | −11.3285 | − | 14.2055i | −0.686890 | − | 0.861333i | ||||
\(273\) | 3.37453 | + | 7.07939i | 0.204236 | + | 0.428464i | ||||
\(274\) | −0.878691 | + | 1.10184i | −0.0530837 | + | 0.0665648i | ||||
\(275\) | −2.92713 | + | 5.06993i | −0.176512 | + | 0.305728i | ||||
\(276\) | 12.4496 | + | 21.5633i | 0.749376 | + | 1.29796i | ||||
\(277\) | 5.15659 | + | 0.777231i | 0.309830 | + | 0.0466993i | 0.302117 | − | 0.953271i | \(-0.402307\pi\) |
0.00771290 | + | 0.999970i | \(0.497545\pi\) | |||||||
\(278\) | 1.09971 | + | 1.02038i | 0.0659561 | + | 0.0611983i | ||||
\(279\) | 32.3940 | − | 15.6001i | 1.93938 | − | 0.933957i | ||||
\(280\) | 2.12639 | − | 0.150824i | 0.127076 | − | 0.00901345i | ||||
\(281\) | −6.95924 | − | 3.35140i | −0.415154 | − | 0.199927i | 0.214634 | − | 0.976694i | \(-0.431144\pi\) |
−0.629788 | + | 0.776767i | \(0.716858\pi\) | |||||||
\(282\) | 0.426471 | + | 1.08663i | 0.0253960 | + | 0.0647079i | ||||
\(283\) | −0.410701 | − | 5.48043i | −0.0244137 | − | 0.325778i | −0.996017 | − | 0.0891624i | \(-0.971581\pi\) |
0.971603 | − | 0.236615i | \(-0.0760381\pi\) | |||||||
\(284\) | 20.6535 | − | 6.37076i | 1.22556 | − | 0.378035i | ||||
\(285\) | 0.164925 | − | 2.20076i | 0.00976929 | − | 0.130362i | ||||
\(286\) | 0.0663115 | + | 0.290530i | 0.00392108 | + | 0.0171794i | ||||
\(287\) | 15.4608 | − | 5.99684i | 0.912620 | − | 0.353982i | ||||
\(288\) | −3.06062 | + | 13.4094i | −0.180349 | + | 0.790159i | ||||
\(289\) | 6.15483 | + | 1.89851i | 0.362049 | + | 0.111677i | ||||
\(290\) | 0.229517 | − | 0.584800i | 0.0134777 | − | 0.0343406i | ||||
\(291\) | −6.71891 | + | 6.23424i | −0.393870 | + | 0.365458i | ||||
\(292\) | 24.6588 | − | 16.8121i | 1.44305 | − | 0.983852i | ||||
\(293\) | −18.4065 | −1.07532 | −0.537660 | − | 0.843162i | \(-0.680692\pi\) | ||||
−0.537660 | + | 0.843162i | \(0.680692\pi\) | |||||||
\(294\) | 0.282203 | + | 4.21693i | 0.0164584 | + | 0.245936i | ||||
\(295\) | −4.71459 | −0.274494 | ||||||||
\(296\) | −4.14059 | + | 2.82301i | −0.240667 | + | 0.164084i | ||||
\(297\) | −8.85830 | + | 8.21930i | −0.514010 | + | 0.476932i | ||||
\(298\) | 0.113988 | − | 0.290436i | 0.00660314 | − | 0.0168245i | ||||
\(299\) | −4.09841 | − | 1.26419i | −0.237017 | − | 0.0731100i | ||||
\(300\) | 5.16914 | − | 22.6475i | 0.298441 | − | 1.30755i | ||||
\(301\) | 10.9702 | + | 0.866122i | 0.632312 | + | 0.0499224i | ||||
\(302\) | 0.558664 | + | 2.44767i | 0.0321475 | + | 0.140847i | ||||
\(303\) | −0.154123 | + | 2.05663i | −0.00885414 | + | 0.118150i | ||||
\(304\) | −2.67184 | + | 0.824154i | −0.153241 | + | 0.0472685i | ||||
\(305\) | −0.403261 | − | 5.38114i | −0.0230907 | − | 0.308123i | ||||
\(306\) | −2.08478 | − | 5.31193i | −0.119179 | − | 0.303663i | ||||
\(307\) | 21.7944 | + | 10.4956i | 1.24387 | + | 0.599018i | 0.935863 | − | 0.352365i | \(-0.114623\pi\) |
0.308010 | + | 0.951383i | \(0.400337\pi\) | |||||||
\(308\) | 1.15980 | − | 7.49186i | 0.0660856 | − | 0.426888i | ||||
\(309\) | 45.9703 | − | 22.1381i | 2.61516 | − | 1.25939i | ||||
\(310\) | 0.927106 | + | 0.860229i | 0.0526561 | + | 0.0488577i | ||||
\(311\) | 8.50424 | + | 1.28181i | 0.482231 | + | 0.0726846i | 0.385659 | − | 0.922641i | \(-0.373974\pi\) |
0.0965720 | + | 0.995326i | \(0.469212\pi\) | |||||||
\(312\) | −1.19501 | − | 2.06981i | −0.0676539 | − | 0.117180i | ||||
\(313\) | 6.56756 | − | 11.3754i | 0.371221 | − | 0.642973i | −0.618533 | − | 0.785759i | \(-0.712273\pi\) |
0.989754 | + | 0.142786i | \(0.0456060\pi\) | |||||||
\(314\) | −0.0663345 | + | 0.0831808i | −0.00374347 | + | 0.00469416i | ||||
\(315\) | −14.9013 | − | 3.46373i | −0.839596 | − | 0.195159i | ||||
\(316\) | −3.38982 | − | 4.25070i | −0.190692 | − | 0.239121i | ||||
\(317\) | 34.6343 | − | 5.22027i | 1.94525 | − | 0.293200i | 0.945755 | − | 0.324880i | \(-0.105324\pi\) |
0.999498 | + | 0.0316799i | \(0.0100857\pi\) | |||||||
\(318\) | 1.84550 | + | 1.25824i | 0.103491 | + | 0.0705588i | ||||
\(319\) | −3.73101 | − | 2.54376i | −0.208897 | − | 0.142423i | ||||
\(320\) | 6.93806 | − | 1.04574i | 0.387849 | − | 0.0584589i | ||||
\(321\) | 27.5044 | + | 34.4894i | 1.53514 | + | 1.92501i | ||||
\(322\) | −1.80131 | − | 1.44829i | −0.100383 | − | 0.0807099i | ||||
\(323\) | 2.24910 | − | 2.82029i | 0.125144 | − | 0.156925i | ||||
\(324\) | 6.97591 | − | 12.0826i | 0.387551 | − | 0.671258i | ||||
\(325\) | 2.00071 | + | 3.46534i | 0.110980 | + | 0.192222i | ||||
\(326\) | 0.361610 | + | 0.0545040i | 0.0200277 | + | 0.00301869i | ||||
\(327\) | −2.62537 | − | 2.43599i | −0.145183 | − | 0.134710i | ||||
\(328\) | −4.55322 | + | 2.19271i | −0.251409 | + | 0.121072i | ||||
\(329\) | 3.46431 | + | 3.76364i | 0.190994 | + | 0.207496i | ||||
\(330\) | −0.795290 | − | 0.382991i | −0.0437793 | − | 0.0210830i | ||||
\(331\) | 5.64820 | + | 14.3914i | 0.310453 | + | 0.791021i | 0.997899 | + | 0.0647861i | \(0.0206365\pi\) |
−0.687446 | + | 0.726235i | \(0.741268\pi\) | |||||||
\(332\) | −2.12183 | − | 28.3139i | −0.116451 | − | 1.55393i | ||||
\(333\) | 34.3668 | − | 10.6008i | 1.88329 | − | 0.580918i | ||||
\(334\) | 0.0868323 | − | 1.15870i | 0.00475125 | − | 0.0634010i | ||||
\(335\) | 2.81055 | + | 12.3138i | 0.153557 | + | 0.672777i | ||||
\(336\) | 4.27039 | + | 29.1199i | 0.232969 | + | 1.58862i | ||||
\(337\) | −5.33624 | + | 23.3796i | −0.290684 | + | 1.27357i | 0.592893 | + | 0.805282i | \(0.297986\pi\) |
−0.883576 | + | 0.468287i | \(0.844871\pi\) | |||||||
\(338\) | 0.194637 | + | 0.0600375i | 0.0105869 | + | 0.00326561i | ||||
\(339\) | −4.33549 | + | 11.0466i | −0.235471 | + | 0.599971i | ||||
\(340\) | −6.94607 | + | 6.44501i | −0.376704 | + | 0.349530i | ||||
\(341\) | 7.51113 | − | 5.12100i | 0.406750 | − | 0.277318i | ||||
\(342\) | −0.878145 | −0.0474847 | ||||||||
\(343\) | 7.83539 | + | 16.7811i | 0.423071 | + | 0.906096i | ||||
\(344\) | −3.35358 | −0.180813 | ||||||||
\(345\) | 10.4967 | − | 7.15655i | 0.565125 | − | 0.385296i | ||||
\(346\) | 1.87602 | − | 1.74070i | 0.100856 | − | 0.0935804i | ||||
\(347\) | 12.6199 | − | 32.1551i | 0.677473 | − | 1.72617i | −0.00998523 | − | 0.999950i | \(-0.503178\pi\) |
0.687459 | − | 0.726224i | \(-0.258726\pi\) | |||||||
\(348\) | 17.1223 | + | 5.28152i | 0.917850 | + | 0.283119i | ||||
\(349\) | 4.58575 | − | 20.0915i | 0.245469 | − | 1.07547i | −0.690484 | − | 0.723348i | \(-0.742602\pi\) |
0.935953 | − | 0.352124i | \(-0.114541\pi\) | |||||||
\(350\) | 0.312883 | + | 2.13356i | 0.0167243 | + | 0.114044i | ||||
\(351\) | 1.83793 | + | 8.05251i | 0.0981016 | + | 0.429811i | ||||
\(352\) | −0.259883 | + | 3.46790i | −0.0138518 | + | 0.184840i | ||||
\(353\) | −34.0599 | + | 10.5061i | −1.81283 | + | 0.559183i | −0.999737 | − | 0.0229547i | \(-0.992693\pi\) |
−0.813090 | + | 0.582138i | \(0.802216\pi\) | |||||||
\(354\) | 0.212872 | + | 2.84057i | 0.0113140 | + | 0.150975i | ||||
\(355\) | −4.02896 | − | 10.2656i | −0.213835 | − | 0.544842i | ||||
\(356\) | −2.51164 | − | 1.20954i | −0.133117 | − | 0.0641056i | ||||
\(357\) | −25.7151 | − | 27.9370i | −1.36099 | − | 1.47858i | ||||
\(358\) | −3.22163 | + | 1.55146i | −0.170269 | + | 0.0819970i | ||||
\(359\) | 3.80959 | + | 3.53479i | 0.201063 | + | 0.186559i | 0.774278 | − | 0.632846i | \(-0.218113\pi\) |
−0.573215 | + | 0.819405i | \(0.694304\pi\) | |||||||
\(360\) | 4.61019 | + | 0.694874i | 0.242978 | + | 0.0366231i | ||||
\(361\) | 9.22244 | + | 15.9737i | 0.485392 | + | 0.840723i | ||||
\(362\) | 0.711714 | − | 1.23273i | 0.0374069 | − | 0.0647906i | ||||
\(363\) | 16.3737 | − | 20.5319i | 0.859394 | − | 1.07765i | ||||
\(364\) | −4.03832 | − | 3.24689i | −0.211666 | − | 0.170183i | ||||
\(365\) | −9.49422 | − | 11.9054i | −0.496950 | − | 0.623156i | ||||
\(366\) | −3.22397 | + | 0.485935i | −0.168519 | + | 0.0254002i | ||||
\(367\) | −20.0275 | − | 13.6545i | −1.04543 | − | 0.712761i | −0.0864546 | − | 0.996256i | \(-0.527554\pi\) |
−0.958974 | + | 0.283495i | \(0.908506\pi\) | |||||||
\(368\) | −13.2988 | − | 9.06695i | −0.693246 | − | 0.472647i | ||||
\(369\) | 35.8633 | − | 5.40552i | 1.86697 | − | 0.281400i | ||||
\(370\) | 0.788760 | + | 0.989073i | 0.0410057 | + | 0.0514195i | ||||
\(371\) | 9.53375 | + | 2.21606i | 0.494968 | + | 0.115052i | ||||
\(372\) | −22.4908 | + | 28.2026i | −1.16609 | + | 1.46224i | ||||
\(373\) | 16.7499 | − | 29.0116i | 0.867275 | − | 1.50216i | 0.00250470 | − | 0.999997i | \(-0.499203\pi\) |
0.864770 | − | 0.502168i | \(-0.167464\pi\) | |||||||
\(374\) | −0.721400 | − | 1.24950i | −0.0373027 | − | 0.0646102i | ||||
\(375\) | −26.3652 | − | 3.97391i | −1.36149 | − | 0.205212i | ||||
\(376\) | −1.14275 | − | 1.06032i | −0.0589328 | − | 0.0546817i | ||||
\(377\) | −2.78083 | + | 1.33918i | −0.143220 | + | 0.0689711i | ||||
\(378\) | −0.680957 | + | 4.39872i | −0.0350246 | + | 0.226246i | ||||
\(379\) | −28.6340 | − | 13.7894i | −1.47083 | − | 0.708315i | −0.484761 | − | 0.874647i | \(-0.661093\pi\) |
−0.986070 | + | 0.166332i | \(0.946808\pi\) | |||||||
\(380\) | 0.532730 | + | 1.35738i | 0.0273285 | + | 0.0696319i | ||||
\(381\) | −3.51825 | − | 46.9478i | −0.180246 | − | 2.40521i | ||||
\(382\) | 5.00734 | − | 1.54456i | 0.256198 | − | 0.0790265i | ||||
\(383\) | −0.0977114 | + | 1.30387i | −0.00499282 | + | 0.0666246i | −0.999144 | − | 0.0413761i | \(-0.986826\pi\) |
0.994151 | + | 0.108001i | \(0.0344449\pi\) | |||||||
\(384\) | −4.07902 | − | 17.8714i | −0.208157 | − | 0.911994i | ||||
\(385\) | −3.85609 | − | 0.304447i | −0.196524 | − | 0.0155160i | ||||
\(386\) | −0.379245 | + | 1.66158i | −0.0193031 | + | 0.0845723i | ||||
\(387\) | 22.9981 | + | 7.09397i | 1.16906 | + | 0.360607i | ||||
\(388\) | 2.21249 | − | 5.63734i | 0.112322 | − | 0.286193i | ||||
\(389\) | 4.60498 | − | 4.27279i | 0.233482 | − | 0.216639i | −0.554751 | − | 0.832016i | \(-0.687187\pi\) |
0.788233 | + | 0.615377i | \(0.210996\pi\) | |||||||
\(390\) | −0.498499 | + | 0.339871i | −0.0252425 | + | 0.0172100i | ||||
\(391\) | 20.7653 | 1.05015 | ||||||||
\(392\) | −2.78294 | − | 4.91026i | −0.140560 | − | 0.248005i | ||||
\(393\) | 23.8510 | 1.20312 | ||||||||
\(394\) | −2.20171 | + | 1.50110i | −0.110920 | + | 0.0756243i | ||||
\(395\) | −2.03351 | + | 1.88682i | −0.102317 | + | 0.0949363i | ||||
\(396\) | 6.05751 | − | 15.4343i | 0.304401 | − | 0.775602i | ||||
\(397\) | −25.3248 | − | 7.81167i | −1.27102 | − | 0.392057i | −0.415387 | − | 0.909645i | \(-0.636354\pi\) |
−0.855630 | + | 0.517588i | \(0.826830\pi\) | |||||||
\(398\) | −0.704015 | + | 3.08449i | −0.0352891 | + | 0.154612i | ||||
\(399\) | −5.44772 | + | 2.11303i | −0.272727 | + | 0.105784i | ||||
\(400\) | 3.34149 | + | 14.6400i | 0.167074 | + | 0.732001i | ||||
\(401\) | 2.16229 | − | 28.8537i | 0.107979 | − | 1.44089i | −0.635487 | − | 0.772112i | \(-0.719200\pi\) |
0.743466 | − | 0.668774i | \(-0.233180\pi\) | |||||||
\(402\) | 7.29227 | − | 2.24937i | 0.363705 | − | 0.112188i | ||||
\(403\) | −0.464342 | − | 6.19622i | −0.0231305 | − | 0.308656i | ||||
\(404\) | −0.497840 | − | 1.26848i | −0.0247685 | − | 0.0631090i | ||||
\(405\) | −6.41365 | − | 3.08865i | −0.318697 | − | 0.153476i | ||||
\(406\) | −1.65915 | + | 0.117682i | −0.0823421 | + | 0.00584048i | ||||
\(407\) | 8.19275 | − | 3.94542i | 0.406100 | − | 0.195567i | ||||
\(408\) | 8.48248 | + | 7.87059i | 0.419945 | + | 0.389652i | ||||
\(409\) | −24.6915 | − | 3.72164i | −1.22091 | − | 0.184023i | −0.493208 | − | 0.869911i | \(-0.664176\pi\) |
−0.727707 | + | 0.685888i | \(0.759414\pi\) | |||||||
\(410\) | 0.637877 | + | 1.10484i | 0.0315025 | + | 0.0545640i | ||||
\(411\) | −10.2547 | + | 17.7616i | −0.505826 | + | 0.876117i | ||||
\(412\) | −21.0192 | + | 26.3573i | −1.03554 | + | 1.29853i | ||||
\(413\) | 5.37107 | + | 11.2679i | 0.264293 | + | 0.554457i | ||||
\(414\) | −3.15177 | − | 3.95219i | −0.154901 | − | 0.194240i | ||||
\(415\) | −14.3252 | + | 2.15918i | −0.703198 | + | 0.105990i | ||||
\(416\) | 1.96395 | + | 1.33900i | 0.0962907 | + | 0.0656499i | ||||
\(417\) | 18.0382 | + | 12.2982i | 0.883335 | + | 0.602247i | ||||
\(418\) | −0.219550 | + | 0.0330918i | −0.0107385 | + | 0.00161857i | ||||
\(419\) | −13.7951 | − | 17.2985i | −0.673935 | − | 0.845087i | 0.320845 | − | 0.947132i | \(-0.396033\pi\) |
−0.994780 | + | 0.102044i | \(0.967462\pi\) | |||||||
\(420\) | 14.9774 | − | 3.35570i | 0.730823 | − | 0.163741i | ||||
\(421\) | −13.9448 | + | 17.4862i | −0.679628 | + | 0.852227i | −0.995320 | − | 0.0966350i | \(-0.969192\pi\) |
0.315692 | + | 0.948862i | \(0.397763\pi\) | |||||||
\(422\) | 1.97450 | − | 3.41993i | 0.0961171 | − | 0.166480i | ||||
\(423\) | 5.59378 | + | 9.68871i | 0.271979 | + | 0.471081i | ||||
\(424\) | −2.94956 | − | 0.444574i | −0.143243 | − | 0.0215904i | ||||
\(425\) | −14.2016 | − | 13.1772i | −0.688879 | − | 0.639186i | ||||
\(426\) | −6.00319 | + | 2.89098i | −0.290855 | + | 0.140069i | ||||
\(427\) | −12.4015 | + | 7.09422i | −0.600152 | + | 0.343313i | ||||
\(428\) | −26.2604 | − | 12.6463i | −1.26934 | − | 0.611284i | ||||
\(429\) | 1.58439 | + | 4.03696i | 0.0764951 | + | 0.194906i | ||||
\(430\) | 0.0632649 | + | 0.844211i | 0.00305090 | + | 0.0407115i | ||||
\(431\) | 5.57952 | − | 1.72105i | 0.268756 | − | 0.0829002i | −0.157448 | − | 0.987527i | \(-0.550327\pi\) |
0.426204 | + | 0.904627i | \(0.359851\pi\) | |||||||
\(432\) | −2.31637 | + | 30.9099i | −0.111447 | + | 1.48715i | ||||
\(433\) | 7.64382 | + | 33.4898i | 0.367338 | + | 1.60941i | 0.734060 | + | 0.679084i | \(0.237623\pi\) |
−0.366722 | + | 0.930331i | \(0.619520\pi\) | |||||||
\(434\) | 0.999750 | − | 3.19580i | 0.0479896 | − | 0.153403i | ||||
\(435\) | 2.03438 | − | 8.91321i | 0.0975412 | − | 0.427356i | ||||
\(436\) | 2.26120 | + | 0.697488i | 0.108292 | + | 0.0334036i | ||||
\(437\) | 1.16746 | − | 2.97464i | 0.0558472 | − | 0.142296i | ||||
\(438\) | −6.74439 | + | 6.25788i | −0.322259 | + | 0.299013i | ||||
\(439\) | −20.6552 | + | 14.0825i | −0.985817 | + | 0.672119i | −0.945008 | − | 0.327048i | \(-0.893946\pi\) |
−0.0408097 | + | 0.999167i | \(0.512994\pi\) | |||||||
\(440\) | 1.17880 | 0.0561972 | ||||||||
\(441\) | 8.69792 | + | 39.5603i | 0.414187 | + | 1.88382i | ||||
\(442\) | −0.986165 | −0.0469071 | ||||||||
\(443\) | −34.5746 | + | 23.5726i | −1.64269 | + | 1.11997i | −0.760119 | + | 0.649784i | \(0.774859\pi\) |
−0.882569 | + | 0.470182i | \(0.844188\pi\) | |||||||
\(444\) | −26.4503 | + | 24.5423i | −1.25528 | + | 1.16473i | ||||
\(445\) | −0.519649 | + | 1.32404i | −0.0246337 | + | 0.0627657i | ||||
\(446\) | 1.29339 | + | 0.398958i | 0.0612438 | + | 0.0188912i | ||||
\(447\) | 1.01036 | − | 4.42668i | 0.0477884 | − | 0.209375i | ||||
\(448\) | −10.4035 | − | 15.3906i | −0.491517 | − | 0.727138i | ||||
\(449\) | 3.69370 | + | 16.1832i | 0.174317 | + | 0.763731i | 0.984189 | + | 0.177124i | \(0.0566794\pi\) |
−0.809872 | + | 0.586607i | \(0.800463\pi\) | |||||||
\(450\) | −0.352439 | + | 4.70297i | −0.0166141 | + | 0.221700i | ||||
\(451\) | 8.76266 | − | 2.70292i | 0.412617 | − | 0.127276i | ||||
\(452\) | −0.585942 | − | 7.81885i | −0.0275604 | − | 0.367768i | ||||
\(453\) | 13.3482 | + | 34.0108i | 0.627155 | + | 1.59796i | ||||
\(454\) | −0.0324057 | − | 0.0156058i | −0.00152087 | − | 0.000732414i | ||||
\(455\) | −1.49804 | + | 2.17851i | −0.0702294 | + | 0.102130i | ||||
\(456\) | 1.60436 | − | 0.772620i | 0.0751311 | − | 0.0361813i | ||||
\(457\) | 0.168651 | + | 0.156485i | 0.00788915 | + | 0.00732006i | 0.684107 | − | 0.729381i | \(-0.260192\pi\) |
−0.676218 | + | 0.736701i | \(0.736382\pi\) | |||||||
\(458\) | 0.999361 | + | 0.150629i | 0.0466971 | + | 0.00703845i | ||||
\(459\) | −19.9948 | − | 34.6320i | −0.933276 | − | 1.61648i | ||||
\(460\) | −4.19699 | + | 7.26940i | −0.195686 | + | 0.338937i | ||||
\(461\) | 8.25009 | − | 10.3453i | 0.384245 | − | 0.481828i | −0.551666 | − | 0.834065i | \(-0.686008\pi\) |
0.935911 | + | 0.352237i | \(0.114579\pi\) | |||||||
\(462\) | −0.00932250 | + | 2.33706i | −0.000433722 | + | 0.108730i | ||||
\(463\) | −17.1266 | − | 21.4761i | −0.795941 | − | 0.998078i | −0.999818 | − | 0.0190818i | \(-0.993926\pi\) |
0.203877 | − | 0.978997i | \(-0.434646\pi\) | |||||||
\(464\) | −11.4536 | + | 1.72635i | −0.531719 | + | 0.0801437i | ||||
\(465\) | 15.2071 | + | 10.3680i | 0.705211 | + | 0.480805i | ||||
\(466\) | −2.58743 | − | 1.76408i | −0.119860 | − | 0.0817194i | ||||
\(467\) | −22.8491 | + | 3.44395i | −1.05733 | + | 0.159367i | −0.654618 | − | 0.755960i | \(-0.727170\pi\) |
−0.402712 | + | 0.915327i | \(0.631932\pi\) | |||||||
\(468\) | −7.06591 | − | 8.86037i | −0.326622 | − | 0.409571i | ||||
\(469\) | 26.2282 | − | 20.7457i | 1.21111 | − | 0.957947i | ||||
\(470\) | −0.245360 | + | 0.307672i | −0.0113176 | + | 0.0141919i | ||||
\(471\) | −0.774150 | + | 1.34087i | −0.0356710 | + | 0.0617839i | ||||
\(472\) | −1.90203 | − | 3.29441i | −0.0875480 | − | 0.151638i | ||||
\(473\) | 6.01719 | + | 0.906946i | 0.276671 | + | 0.0417014i | ||||
\(474\) | 1.22864 | + | 1.14001i | 0.0564333 | + | 0.0523624i | ||||
\(475\) | −2.68607 | + | 1.29354i | −0.123245 | + | 0.0593518i | ||||
\(476\) | 23.3169 | + | 9.25870i | 1.06873 | + | 0.424372i | ||||
\(477\) | 19.2870 | + | 9.28811i | 0.883089 | + | 0.425273i | ||||
\(478\) | 2.00104 | + | 5.09857i | 0.0915255 | + | 0.233203i | ||||
\(479\) | −2.70672 | − | 36.1187i | −0.123673 | − | 1.65031i | −0.621781 | − | 0.783191i | \(-0.713591\pi\) |
0.498108 | − | 0.867115i | \(-0.334028\pi\) | |||||||
\(480\) | −6.72801 | + | 2.07532i | −0.307090 | + | 0.0947248i | ||||
\(481\) | 0.464471 | − | 6.19794i | 0.0211781 | − | 0.282602i | ||||
\(482\) | −1.37034 | − | 6.00384i | −0.0624171 | − | 0.273467i | ||||
\(483\) | −29.0625 | − | 16.9342i | −1.32239 | − | 0.770531i | ||||
\(484\) | −3.86106 | + | 16.9164i | −0.175503 | + | 0.768928i | ||||
\(485\) | −2.95265 | − | 0.910771i | −0.134073 | − | 0.0413560i | ||||
\(486\) | 0.272565 | − | 0.694485i | 0.0123638 | − | 0.0315025i | ||||
\(487\) | 11.8279 | − | 10.9746i | 0.535971 | − | 0.497309i | −0.365107 | − | 0.930966i | \(-0.618968\pi\) |
0.901078 | + | 0.433657i | \(0.142777\pi\) | |||||||
\(488\) | 3.59749 | − | 2.45272i | 0.162851 | − | 0.111030i | ||||
\(489\) | 5.32187 | 0.240663 | ||||||||
\(490\) | −1.18358 | + | 0.793194i | −0.0534687 | + | 0.0358329i | ||||
\(491\) | 19.6608 | 0.887278 | 0.443639 | − | 0.896206i | \(-0.353687\pi\) | ||||
0.443639 | + | 0.896206i | \(0.353687\pi\) | |||||||
\(492\) | −30.0645 | + | 20.4976i | −1.35541 | + | 0.924104i | ||||
\(493\) | 10.9544 | − | 10.1642i | 0.493360 | − | 0.457771i | ||||
\(494\) | −0.0554437 | + | 0.141268i | −0.00249453 | + | 0.00635596i | ||||
\(495\) | −8.08395 | − | 2.49357i | −0.363346 | − | 0.112078i | ||||
\(496\) | 5.18882 | − | 22.7337i | 0.232985 | − | 1.02077i | ||||
\(497\) | −19.9449 | + | 21.3242i | −0.894651 | + | 0.956523i | ||||
\(498\) | 1.94773 | + | 8.53356i | 0.0872798 | + | 0.382398i | ||||
\(499\) | −1.74508 | + | 23.2865i | −0.0781205 | + | 1.04245i | 0.811082 | + | 0.584932i | \(0.198879\pi\) |
−0.889203 | + | 0.457513i | \(0.848740\pi\) | |||||||
\(500\) | 16.8342 | − | 5.19265i | 0.752847 | − | 0.232223i | ||||
\(501\) | −1.26365 | − | 16.8622i | −0.0564557 | − | 0.753349i | ||||
\(502\) | 0.395512 | + | 1.00775i | 0.0176526 | + | 0.0449780i | ||||
\(503\) | −30.2479 | − | 14.5666i | −1.34869 | − | 0.649494i | −0.386604 | − | 0.922246i | \(-0.626352\pi\) |
−0.962084 | + | 0.272752i | \(0.912066\pi\) | |||||||
\(504\) | −3.59137 | − | 11.8100i | −0.159972 | − | 0.526059i | ||||
\(505\) | −0.626420 | + | 0.301668i | −0.0278753 | + | 0.0134240i | ||||
\(506\) | −0.936924 | − | 0.869338i | −0.0416513 | − | 0.0386468i | ||||
\(507\) | 2.93109 | + | 0.441790i | 0.130174 | + | 0.0196206i | ||||
\(508\) | 15.5532 | + | 26.9390i | 0.690064 | + | 1.19523i | ||||
\(509\) | −0.221615 | + | 0.383848i | −0.00982291 | + | 0.0170138i | −0.870895 | − | 0.491469i | \(-0.836460\pi\) |
0.861072 | + | 0.508483i | \(0.169793\pi\) | |||||||
\(510\) | 1.82128 | − | 2.28381i | 0.0806475 | − | 0.101129i | ||||
\(511\) | −17.6377 | + | 36.2543i | −0.780244 | + | 1.60380i | ||||
\(512\) | 9.33490 | + | 11.7056i | 0.412548 | + | 0.517319i | ||||
\(513\) | −6.08518 | + | 0.917193i | −0.268667 | + | 0.0404950i | ||||
\(514\) | −3.94420 | − | 2.68911i | −0.173971 | − | 0.118612i | ||||
\(515\) | 14.2121 | + | 9.68962i | 0.626258 | + | 0.426976i | ||||
\(516\) | −23.8765 | + | 3.59880i | −1.05110 | + | 0.158428i | ||||
\(517\) | 1.76364 | + | 2.21153i | 0.0775647 | + | 0.0972630i | ||||
\(518\) | 1.46530 | − | 3.01193i | 0.0643816 | − | 0.132337i | ||||
\(519\) | 23.2209 | − | 29.1180i | 1.01928 | − | 1.27814i | ||||
\(520\) | 0.402860 | − | 0.697774i | 0.0176666 | − | 0.0305994i | ||||
\(521\) | 17.9319 | + | 31.0589i | 0.785610 | + | 1.36072i | 0.928634 | + | 0.370997i | \(0.120984\pi\) |
−0.143024 | + | 0.989719i | \(0.545683\pi\) | |||||||
\(522\) | −3.59717 | − | 0.542185i | −0.157444 | − | 0.0237308i | ||||
\(523\) | 6.35846 | + | 5.89979i | 0.278036 | + | 0.257980i | 0.806848 | − | 0.590759i | \(-0.201172\pi\) |
−0.528812 | + | 0.848739i | \(0.677362\pi\) | |||||||
\(524\) | −14.1983 | + | 6.83754i | −0.620255 | + | 0.298699i | ||||
\(525\) | 9.13010 | + | 30.0237i | 0.398470 | + | 1.31034i | ||||
\(526\) | −5.55197 | − | 2.67369i | −0.242077 | − | 0.116578i | ||||
\(527\) | 10.9908 | + | 28.0041i | 0.478767 | + | 1.21988i | ||||
\(528\) | 1.21622 | + | 16.2294i | 0.0529294 | + | 0.706293i | ||||
\(529\) | −4.40031 | + | 1.35732i | −0.191318 | + | 0.0590137i | ||||
\(530\) | −0.0562715 | + | 0.750891i | −0.00244428 | + | 0.0326166i | ||||
\(531\) | 6.07487 | + | 26.6158i | 0.263627 | + | 1.15503i | ||||
\(532\) | 2.63722 | − | 2.81961i | 0.114338 | − | 0.122245i | ||||
\(533\) | 1.39472 | − | 6.11066i | 0.0604119 | − | 0.264682i | ||||
\(534\) | 0.821208 | + | 0.253309i | 0.0355372 | + | 0.0109618i | ||||
\(535\) | −5.43318 | + | 13.8435i | −0.234897 | + | 0.598508i | ||||
\(536\) | −7.47066 | + | 6.93176i | −0.322683 | + | 0.299406i | ||||
\(537\) | −42.9949 | + | 29.3134i | −1.85537 | + | 1.26497i | ||||
\(538\) | −5.68019 | −0.244890 | ||||||||
\(539\) | 3.66539 | + | 9.56290i | 0.157880 | + | 0.411903i | ||||
\(540\) | 16.1650 | 0.695630 | ||||||||
\(541\) | 27.8297 | − | 18.9739i | 1.19649 | − | 0.815753i | 0.209702 | − | 0.977765i | \(-0.432751\pi\) |
0.986789 | + | 0.162012i | \(0.0517984\pi\) | |||||||
\(542\) | 2.68793 | − | 2.49403i | 0.115456 | − | 0.107128i | ||||
\(543\) | 7.56797 | − | 19.2829i | 0.324773 | − | 0.827507i | ||||
\(544\) | −10.9971 | − | 3.39215i | −0.471496 | − | 0.145437i | ||||
\(545\) | 0.268664 | − | 1.17710i | 0.0115083 | − | 0.0504212i | ||||
\(546\) | 1.38020 | + | 0.804219i | 0.0590673 | + | 0.0344174i | ||||
\(547\) | −1.50888 | − | 6.61083i | −0.0645150 | − | 0.282659i | 0.932372 | − | 0.361500i | \(-0.117735\pi\) |
−0.996887 | + | 0.0788410i | \(0.974878\pi\) | |||||||
\(548\) | 1.01267 | − | 13.5131i | 0.0432590 | − | 0.577252i | ||||
\(549\) | −29.8591 | + | 9.21031i | −1.27435 | + | 0.393086i | ||||
\(550\) | 0.0891104 | + | 1.18910i | 0.00379968 | + | 0.0507032i | ||||
\(551\) | −0.840147 | − | 2.14066i | −0.0357915 | − | 0.0911952i | ||||
\(552\) | 9.23552 | + | 4.44759i | 0.393090 | + | 0.189302i | ||||
\(553\) | 6.82617 | + | 2.71055i | 0.290278 | + | 0.115264i | ||||
\(554\) | 0.957000 | − | 0.460867i | 0.0406590 | − | 0.0195804i | ||||
\(555\) | 13.4957 | + | 12.5222i | 0.572860 | + | 0.531537i | ||||
\(556\) | −14.2636 | − | 2.14989i | −0.604911 | − | 0.0911757i | ||||
\(557\) | −2.78215 | − | 4.81883i | −0.117883 | − | 0.204180i | 0.801045 | − | 0.598604i | \(-0.204278\pi\) |
−0.918929 | + | 0.394424i | \(0.870944\pi\) | |||||||
\(558\) | 3.66173 | − | 6.34231i | 0.155014 | − | 0.268491i | ||||
\(559\) | 2.59325 | − | 3.25183i | 0.109683 | − | 0.137538i | ||||
\(560\) | −7.78186 | + | 6.15520i | −0.328843 | + | 0.260105i | ||||
\(561\) | −13.0912 | − | 16.4159i | −0.552713 | − | 0.693080i | ||||
\(562\) | −1.55574 | + | 0.234489i | −0.0656247 | + | 0.00989134i | ||||
\(563\) | 1.64746 | + | 1.12322i | 0.0694322 | + | 0.0473381i | 0.597539 | − | 0.801840i | \(-0.296145\pi\) |
−0.528106 | + | 0.849178i | \(0.677098\pi\) | |||||||
\(564\) | −9.27388 | − | 6.32283i | −0.390501 | − | 0.266239i | ||||
\(565\) | −3.95590 | + | 0.596256i | −0.166426 | + | 0.0250847i | ||||
\(566\) | −0.697945 | − | 0.875196i | −0.0293368 | − | 0.0367872i | ||||
\(567\) | −0.0751817 | + | 18.8474i | −0.00315734 | + | 0.791515i | ||||
\(568\) | 5.54787 | − | 6.95681i | 0.232784 | − | 0.291901i | ||||
\(569\) | 22.5241 | − | 39.0129i | 0.944260 | − | 1.63551i | 0.187034 | − | 0.982353i | \(-0.440112\pi\) |
0.757226 | − | 0.653153i | \(-0.226554\pi\) | |||||||
\(570\) | −0.224761 | − | 0.389298i | −0.00941421 | − | 0.0163059i | ||||
\(571\) | −33.4759 | − | 5.04567i | −1.40092 | − | 0.211155i | −0.595261 | − | 0.803533i | \(-0.702951\pi\) |
−0.805660 | + | 0.592378i | \(0.798189\pi\) | |||||||
\(572\) | −2.10048 | − | 1.94896i | −0.0878253 | − | 0.0814900i | ||||
\(573\) | 68.7066 | − | 33.0873i | 2.87026 | − | 1.38224i | ||||
\(574\) | 1.91386 | − | 2.78320i | 0.0798831 | − | 0.116169i | ||||
\(575\) | −15.4624 | − | 7.44628i | −0.644825 | − | 0.310531i | ||||
\(576\) | −14.8435 | − | 37.8206i | −0.618479 | − | 1.57586i | ||||
\(577\) | −0.720663 | − | 9.61658i | −0.0300016 | − | 0.400343i | −0.991907 | − | 0.126963i | \(-0.959477\pi\) |
0.961906 | − | 0.273381i | \(-0.0881419\pi\) | |||||||
\(578\) | 1.25365 | − | 0.386701i | 0.0521451 | − | 0.0160846i | ||||
\(579\) | −1.85349 | + | 24.7331i | −0.0770284 | + | 1.02787i | ||||
\(580\) | 1.34416 | + | 5.88916i | 0.0558133 | + | 0.244534i | ||||
\(581\) | 21.4804 | + | 31.7775i | 0.891156 | + | 1.31835i | ||||
\(582\) | −0.415429 | + | 1.82011i | −0.0172201 | + | 0.0754461i | ||||
\(583\) | 5.17204 | + | 1.59536i | 0.214204 | + | 0.0660732i | ||||
\(584\) | 4.48881 | − | 11.4373i | 0.185748 | − | 0.473279i | ||||
\(585\) | −4.23875 | + | 3.93298i | −0.175251 | + | 0.162609i | ||||
\(586\) | −3.09770 | + | 2.11197i | −0.127965 | + | 0.0872448i | ||||
\(587\) | −39.3944 | −1.62598 | −0.812991 | − | 0.582276i | \(-0.802162\pi\) | ||||
−0.812991 | + | 0.582276i | \(0.802162\pi\) | |||||||
\(588\) | −25.0830 | − | 31.9731i | −1.03441 | − | 1.31855i | ||||
\(589\) | 4.62951 | 0.190756 | ||||||||
\(590\) | −0.793435 | + | 0.540955i | −0.0326652 | + | 0.0222708i | ||||
\(591\) | −28.4272 | + | 26.3766i | −1.16934 | + | 1.08499i | ||||
\(592\) | 8.52151 | − | 21.7124i | 0.350232 | − | 0.892376i | ||||
\(593\) | −4.38961 | − | 1.35402i | −0.180260 | − | 0.0556028i | 0.203311 | − | 0.979114i | \(-0.434830\pi\) |
−0.383571 | + | 0.923511i | \(0.625306\pi\) | |||||||
\(594\) | −0.547706 | + | 2.39966i | −0.0224727 | + | 0.0984592i | ||||
\(595\) | 3.82178 | − | 12.2167i | 0.156678 | − | 0.500835i | ||||
\(596\) | 0.667569 | + | 2.92481i | 0.0273447 | + | 0.119805i | ||||
\(597\) | −3.44074 | + | 45.9135i | −0.140820 | + | 1.87911i | ||||
\(598\) | −0.834788 | + | 0.257498i | −0.0341370 | + | 0.0105299i | ||||
\(599\) | 2.40023 | + | 32.0289i | 0.0980709 | + | 1.30866i | 0.801541 | + | 0.597940i | \(0.204014\pi\) |
−0.703470 | + | 0.710725i | \(0.748367\pi\) | |||||||
\(600\) | −3.49392 | − | 8.90237i | −0.142639 | − | 0.363438i | ||||
\(601\) | 2.01976 | + | 0.972663i | 0.0823876 | + | 0.0396758i | 0.474624 | − | 0.880189i | \(-0.342584\pi\) |
−0.392236 | + | 0.919865i | \(0.628298\pi\) | |||||||
\(602\) | 1.94559 | − | 1.11296i | 0.0792964 | − | 0.0453610i | ||||
\(603\) | 65.8951 | − | 31.7334i | 2.68346 | − | 1.29228i | ||||
\(604\) | −17.6962 | − | 16.4197i | −0.720047 | − | 0.668106i | ||||
\(605\) | 8.75431 | + | 1.31950i | 0.355913 | + | 0.0536453i | ||||
\(606\) | 0.210041 | + | 0.363801i | 0.00853232 | + | 0.0147784i | ||||
\(607\) | 17.2459 | − | 29.8708i | 0.699990 | − | 1.21242i | −0.268479 | − | 0.963286i | \(-0.586521\pi\) |
0.968469 | − | 0.249133i | \(-0.0801458\pi\) | |||||||
\(608\) | −1.10420 | + | 1.38462i | −0.0447812 | + | 0.0561538i | ||||
\(609\) | −23.6203 | + | 5.29213i | −0.957141 | + | 0.214448i | ||||
\(610\) | −0.685301 | − | 0.859341i | −0.0277470 | − | 0.0347937i | ||||
\(611\) | 1.91181 | − | 0.288159i | 0.0773436 | − | 0.0116577i | ||||
\(612\) | 45.3349 | + | 30.9088i | 1.83255 | + | 1.24941i | ||||
\(613\) | 24.1835 | + | 16.4880i | 0.976761 | + | 0.665944i | 0.942758 | − | 0.333478i | \(-0.108222\pi\) |
0.0340027 | + | 0.999422i | \(0.489175\pi\) | |||||||
\(614\) | 4.87213 | − | 0.734355i | 0.196623 | − | 0.0296362i | ||||
\(615\) | 11.5756 | + | 14.5153i | 0.466772 | + | 0.585313i | ||||
\(616\) | −1.34294 | − | 2.81734i | −0.0541086 | − | 0.113514i | ||||
\(617\) | 6.51403 | − | 8.16833i | 0.262245 | − | 0.328845i | −0.633224 | − | 0.773968i | \(-0.718269\pi\) |
0.895469 | + | 0.445124i | \(0.146840\pi\) | |||||||
\(618\) | 5.19636 | − | 9.00036i | 0.209028 | − | 0.362048i | ||||
\(619\) | 17.1869 | + | 29.7687i | 0.690802 | + | 1.19650i | 0.971576 | + | 0.236730i | \(0.0760756\pi\) |
−0.280774 | + | 0.959774i | \(0.590591\pi\) | |||||||
\(620\) | −12.0249 | − | 1.81246i | −0.482932 | − | 0.0727902i | ||||
\(621\) | −25.9684 | − | 24.0951i | −1.04207 | − | 0.966904i | ||||
\(622\) | 1.57828 | − | 0.760061i | 0.0632834 | − | 0.0304757i | ||||
\(623\) | 3.75648 | − | 0.266445i | 0.150500 | − | 0.0106749i | ||||
\(624\) | 10.0224 | + | 4.82653i | 0.401217 | + | 0.193216i | ||||
\(625\) | 4.02552 | + | 10.2569i | 0.161021 | + | 0.410274i | ||||
\(626\) | −0.199936 | − | 2.66796i | −0.00799106 | − | 0.106633i | ||||
\(627\) | −3.08759 | + | 0.952396i | −0.123307 | + | 0.0380350i | ||||
\(628\) | 0.0764487 | − | 1.02014i | 0.00305064 | − | 0.0407079i | ||||
\(629\) | 6.69610 | + | 29.3375i | 0.266991 | + | 1.16976i | ||||
\(630\) | −2.90523 | + | 1.12686i | −0.115747 | + | 0.0448954i | ||||
\(631\) | 1.19575 | − | 5.23890i | 0.0476019 | − | 0.208557i | −0.945534 | − | 0.325523i | \(-0.894460\pi\) |
0.993136 | + | 0.116966i | \(0.0373168\pi\) | |||||||
\(632\) | −2.13884 | − | 0.659745i | −0.0850785 | − | 0.0262432i | ||||
\(633\) | 20.9957 | − | 53.4962i | 0.834504 | − | 2.12628i | ||||
\(634\) | 5.22974 | − | 4.85249i | 0.207699 | − | 0.192717i | ||||
\(635\) | 13.1136 | − | 8.94068i | 0.520396 | − | 0.354800i | ||||
\(636\) | −21.4770 | −0.851620 | ||||||||
\(637\) | 6.91327 | + | 1.09848i | 0.273914 | + | 0.0435235i | ||||
\(638\) | −0.919777 | −0.0364143 | ||||||||
\(639\) | −52.7621 | + | 35.9726i | −2.08724 | + | 1.42305i | ||||
\(640\) | 4.53006 | − | 4.20328i | 0.179066 | − | 0.166149i | ||||
\(641\) | −4.59024 | + | 11.6957i | −0.181304 | + | 0.461954i | −0.992414 | − | 0.122939i | \(-0.960768\pi\) |
0.811111 | + | 0.584893i | \(0.198863\pi\) | |||||||
\(642\) | 8.58613 | + | 2.64847i | 0.338868 | + | 0.104527i | ||||
\(643\) | 4.14841 | − | 18.1754i | 0.163597 | − | 0.716766i | −0.824869 | − | 0.565324i | \(-0.808751\pi\) |
0.988466 | − | 0.151442i | \(-0.0483918\pi\) | |||||||
\(644\) | 22.1553 | + | 1.74921i | 0.873040 | + | 0.0689284i | ||||
\(645\) | 2.74147 | + | 12.0112i | 0.107945 | + | 0.472939i | ||||
\(646\) | 0.0549082 | − | 0.732699i | 0.00216033 | − | 0.0288277i | ||||
\(647\) | 37.8402 | − | 11.6722i | 1.48765 | − | 0.458880i | 0.558791 | − | 0.829309i | \(-0.311266\pi\) |
0.928861 | + | 0.370429i | \(0.120789\pi\) | |||||||
\(648\) | −0.429234 | − | 5.72773i | −0.0168619 | − | 0.225006i | ||||
\(649\) | 2.52179 | + | 6.42542i | 0.0989890 | + | 0.252220i | ||||
\(650\) | 0.734321 | + | 0.353630i | 0.0288024 | + | 0.0138705i | ||||
\(651\) | 7.45502 | − | 48.1566i | 0.292185 | − | 1.88741i | ||||
\(652\) | −3.16806 | + | 1.52566i | −0.124071 | + | 0.0597493i | ||||
\(653\) | 21.8984 | + | 20.3187i | 0.856949 | + | 0.795133i | 0.980359 | − | 0.197223i | \(-0.0631924\pi\) |
−0.123409 | + | 0.992356i | \(0.539383\pi\) | |||||||
\(654\) | −0.721338 | − | 0.108724i | −0.0282066 | − | 0.00425146i | ||||
\(655\) | 4.02032 | + | 6.96340i | 0.157087 | + | 0.272082i | ||||
\(656\) | 11.7609 | − | 20.3704i | 0.459185 | − | 0.795332i | ||||
\(657\) | −54.9771 | + | 68.9390i | −2.14486 | + | 2.68957i | ||||
\(658\) | 1.01486 | + | 0.235899i | 0.0395634 | + | 0.00919629i | ||||
\(659\) | −1.70610 | − | 2.13938i | −0.0664603 | − | 0.0833386i | 0.747490 | − | 0.664273i | \(-0.231259\pi\) |
−0.813950 | + | 0.580934i | \(0.802687\pi\) | |||||||
\(660\) | 8.39271 | − | 1.26500i | 0.326686 | − | 0.0492400i | ||||
\(661\) | −0.694138 | − | 0.473256i | −0.0269989 | − | 0.0184075i | 0.549745 | − | 0.835332i | \(-0.314725\pi\) |
−0.576744 | + | 0.816925i | \(0.695677\pi\) | |||||||
\(662\) | 2.60183 | + | 1.77390i | 0.101123 | + | 0.0689444i | ||||
\(663\) | −14.1911 | + | 2.13897i | −0.551138 | + | 0.0830706i | ||||
\(664\) | −7.28806 | − | 9.13894i | −0.282832 | − | 0.354660i | ||||
\(665\) | −1.53517 | − | 1.23431i | −0.0595315 | − | 0.0478645i | ||||
\(666\) | 4.56738 | − | 5.72731i | 0.176982 | − | 0.221929i | ||||
\(667\) | 6.61890 | − | 11.4643i | 0.256285 | − | 0.443898i | ||||
\(668\) | 5.58625 | + | 9.67567i | 0.216139 | + | 0.374363i | ||||
\(669\) | 19.4775 | + | 2.93576i | 0.753044 | + | 0.113503i | ||||
\(670\) | 1.88589 | + | 1.74985i | 0.0728585 | + | 0.0676028i | ||||
\(671\) | −7.11814 | + | 3.42792i | −0.274793 | + | 0.132333i | ||||
\(672\) | 12.6248 | + | 13.7157i | 0.487014 | + | 0.529094i | ||||
\(673\) | −0.605600 | − | 0.291642i | −0.0233442 | − | 0.0112420i | 0.422175 | − | 0.906514i | \(-0.361267\pi\) |
−0.445519 | + | 0.895272i | \(0.646981\pi\) | |||||||
\(674\) | 1.78453 | + | 4.54692i | 0.0687377 | + | 0.175141i | ||||
\(675\) | 2.46984 | + | 32.9577i | 0.0950642 | + | 1.26854i | ||||
\(676\) | −1.87150 | + | 0.577282i | −0.0719808 | + | 0.0222031i | ||||
\(677\) | −1.16990 | + | 15.6113i | −0.0449630 | + | 0.599990i | 0.928528 | + | 0.371263i | \(0.121075\pi\) |
−0.973491 | + | 0.228727i | \(0.926544\pi\) | |||||||
\(678\) | 0.537863 | + | 2.35653i | 0.0206565 | + | 0.0905021i | ||||
\(679\) | 1.18704 | + | 8.09443i | 0.0455543 | + | 0.310636i | ||||
\(680\) | −0.868046 | + | 3.80316i | −0.0332880 | + | 0.145844i | ||||
\(681\) | −0.500173 | − | 0.154283i | −0.0191667 | − | 0.00591214i | ||||
\(682\) | 0.676487 | − | 1.72366i | 0.0259040 | − | 0.0660024i | ||||
\(683\) | −15.3750 | + | 14.2659i | −0.588308 | + | 0.545870i | −0.917164 | − | 0.398510i | \(-0.869527\pi\) |
0.328856 | + | 0.944380i | \(0.393337\pi\) | |||||||
\(684\) | 6.97649 | − | 4.75649i | 0.266753 | − | 0.181869i | ||||
\(685\) | −6.91410 | −0.264174 | ||||||||
\(686\) | 3.24412 | + | 1.92512i | 0.123861 | + | 0.0735014i | ||||
\(687\) | 14.7077 | 0.561135 | ||||||||
\(688\) | 12.8966 | − | 8.79275i | 0.491678 | − | 0.335221i | ||||
\(689\) | 2.71191 | − | 2.51629i | 0.103316 | − | 0.0958630i | ||||
\(690\) | 0.945384 | − | 2.40880i | 0.0359902 | − | 0.0917014i | ||||
\(691\) | −25.7317 | − | 7.93718i | −0.978880 | − | 0.301944i | −0.236284 | − | 0.971684i | \(-0.575929\pi\) |
−0.742596 | + | 0.669740i | \(0.766406\pi\) | |||||||
\(692\) | −5.47570 | + | 23.9906i | −0.208155 | + | 0.911986i | ||||
\(693\) | 3.24994 | + | 22.1614i | 0.123455 | + | 0.841843i | ||||
\(694\) | −1.56564 | − | 6.85950i | −0.0594307 | − | 0.260383i | ||||
\(695\) | −0.550005 | + | 7.33931i | −0.0208629 | + | 0.278396i | ||||
\(696\) | 7.04902 | − | 2.17433i | 0.267192 | − | 0.0824179i | ||||
\(697\) | 2.26777 | + | 30.2613i | 0.0858979 | + | 1.14623i | ||||
\(698\) | −1.53355 | − | 3.90743i | −0.0580459 | − | 0.147899i | ||||
\(699\) | −41.0599 | − | 19.7734i | −1.55303 | − | 0.747899i | ||||
\(700\) | −14.0422 | − | 15.2555i | −0.530745 | − | 0.576603i | ||||
\(701\) | −19.6770 | + | 9.47593i | −0.743189 | + | 0.357901i | −0.766856 | − | 0.641819i | \(-0.778180\pi\) |
0.0236675 | + | 0.999720i | \(0.492466\pi\) | |||||||
\(702\) | 1.23326 | + | 1.14430i | 0.0465464 | + | 0.0431888i | ||||
\(703\) | 4.57908 | + | 0.690185i | 0.172703 | + | 0.0260308i | ||||
\(704\) | −5.13632 | − | 8.89637i | −0.193582 | − | 0.335295i | ||||
\(705\) | −2.86345 | + | 4.95965i | −0.107844 | + | 0.186791i | ||||
\(706\) | −4.52659 | + | 5.67616i | −0.170360 | + | 0.213625i | ||||
\(707\) | 1.43463 | + | 1.15347i | 0.0539549 | + | 0.0433808i | ||||
\(708\) | −17.0772 | − | 21.4141i | −0.641800 | − | 0.804792i | ||||
\(709\) | 35.8089 | − | 5.39733i | 1.34483 | − | 0.202701i | 0.563138 | − | 0.826363i | \(-0.309594\pi\) |
0.781694 | + | 0.623662i | \(0.214356\pi\) | |||||||
\(710\) | −1.85593 | − | 1.26535i | −0.0696518 | − | 0.0474878i | ||||
\(711\) | 13.2721 | + | 9.04876i | 0.497742 | + | 0.339355i | ||||
\(712\) | −1.13485 | + | 0.171050i | −0.0425301 | + | 0.00641039i | ||||
\(713\) | 16.6159 | + | 20.8357i | 0.622270 | + | 0.780302i | ||||
\(714\) | −7.53319 | − | 1.75104i | −0.281922 | − | 0.0655312i | ||||
\(715\) | −0.911542 | + | 1.14304i | −0.0340897 | + | 0.0427472i | ||||
\(716\) | 17.1910 | − | 29.7757i | 0.642458 | − | 1.11277i | ||||
\(717\) | 39.8541 | + | 69.0293i | 1.48838 | + | 2.57795i | ||||
\(718\) | 1.04671 | + | 0.157767i | 0.0390630 | + | 0.00588780i | ||||
\(719\) | −23.5389 | − | 21.8409i | −0.877854 | − | 0.814529i | 0.105840 | − | 0.994383i | \(-0.466247\pi\) |
−0.983693 | + | 0.179854i | \(0.942437\pi\) | |||||||
\(720\) | −19.5509 | + | 9.41523i | −0.728620 | + | 0.350885i | ||||
\(721\) | 6.96723 | − | 45.0057i | 0.259473 | − | 1.67610i | ||||
\(722\) | 3.38491 | + | 1.63009i | 0.125973 | + | 0.0606656i | ||||
\(723\) | −32.7416 | − | 83.4243i | −1.21767 | − | 3.10258i | ||||
\(724\) | 1.02281 | + | 13.6485i | 0.0380125 | + | 0.507242i | ||||
\(725\) | −11.8017 | + | 3.64033i | −0.438302 | + | 0.135198i | ||||
\(726\) | 0.399736 | − | 5.33411i | 0.0148356 | − | 0.197967i | ||||
\(727\) | −1.60929 | − | 7.05078i | −0.0596854 | − | 0.261499i | 0.936278 | − | 0.351260i | \(-0.114247\pi\) |
−0.995963 | + | 0.0897613i | \(0.971390\pi\) | |||||||
\(728\) | −2.12664 | − | 0.167903i | −0.0788184 | − | 0.00622288i | ||||
\(729\) | 7.17146 | − | 31.4202i | 0.265610 | − | 1.16371i | ||||
\(730\) | −2.96384 | − | 0.914225i | −0.109697 | − | 0.0338370i | ||||
\(731\) | −7.35701 | + | 18.7454i | −0.272109 | + | 0.693322i | ||||
\(732\) | 22.9809 | − | 21.3232i | 0.849400 | − | 0.788128i | ||||
\(733\) | 10.1321 | − | 6.90798i | 0.374239 | − | 0.255152i | −0.361564 | − | 0.932347i | \(-0.617757\pi\) |
0.735803 | + | 0.677195i | \(0.236805\pi\) | |||||||
\(734\) | −4.93723 | −0.182236 | ||||||||
\(735\) | −15.3116 | + | 13.9814i | −0.564775 | + | 0.515711i | ||||
\(736\) | −10.1948 | −0.375784 | ||||||||
\(737\) | 15.2789 | − | 10.4170i | 0.562807 | − | 0.383715i | ||||
\(738\) | 5.41532 | − | 5.02468i | 0.199341 | − | 0.184961i | ||||
\(739\) | −8.49920 | + | 21.6556i | −0.312648 | + | 0.796614i | 0.685030 | + | 0.728515i | \(0.259789\pi\) |
−0.997679 | + | 0.0681000i | \(0.978306\pi\) | |||||||
\(740\) | −11.6237 | − | 3.58543i | −0.427295 | − | 0.131803i | ||||
\(741\) | −0.491440 | + | 2.15314i | −0.0180535 | + | 0.0790975i | ||||
\(742\) | 1.85874 | − | 0.720958i | 0.0682365 | − | 0.0264672i | ||||
\(743\) | 0.251260 | + | 1.10084i | 0.00921783 | + | 0.0403859i | 0.979328 | − | 0.202280i | \(-0.0648352\pi\) |
−0.970110 | + | 0.242666i | \(0.921978\pi\) | |||||||
\(744\) | −1.10978 | + | 14.8090i | −0.0406867 | + | 0.542926i | ||||
\(745\) | 1.46269 | − | 0.451181i | 0.0535889 | − | 0.0165300i | ||||
\(746\) | −0.509916 | − | 6.80435i | −0.0186693 | − | 0.249125i | ||||
\(747\) | 30.6479 | + | 78.0895i | 1.12135 | + | 2.85715i | ||||
\(748\) | 12.4992 | + | 6.01928i | 0.457014 | + | 0.220087i | ||||
\(749\) | 39.2758 | − | 2.78581i | 1.43511 | − | 0.101791i | ||||
\(750\) | −4.89305 | + | 2.35637i | −0.178669 | + | 0.0860424i | ||||
\(751\) | 12.7721 | + | 11.8508i | 0.466062 | + | 0.432442i | 0.877921 | − | 0.478805i | \(-0.158930\pi\) |
−0.411859 | + | 0.911247i | \(0.635121\pi\) | |||||||
\(752\) | 7.17463 | + | 1.08140i | 0.261632 | + | 0.0394347i | ||||
\(753\) | 7.87728 | + | 13.6438i | 0.287064 | + | 0.497209i | ||||
\(754\) | −0.314337 | + | 0.544448i | −0.0114475 | + | 0.0198276i | ||||
\(755\) | −7.67960 | + | 9.62991i | −0.279489 | + | 0.350468i | ||||
\(756\) | −18.4158 | − | 38.6344i | −0.669778 | − | 1.40512i | ||||
\(757\) | 5.43413 | + | 6.81419i | 0.197507 | + | 0.247666i | 0.870716 | − | 0.491786i | \(-0.163656\pi\) |
−0.673209 | + | 0.739452i | \(0.735085\pi\) | |||||||
\(758\) | −6.40112 | + | 0.964814i | −0.232499 | + | 0.0350436i | ||||
\(759\) | −15.3681 | − | 10.4778i | −0.557827 | − | 0.380320i | ||||
\(760\) | 0.496000 | + | 0.338167i | 0.0179918 | + | 0.0122666i | ||||
\(761\) | −9.20501 | + | 1.38743i | −0.333681 | + | 0.0502944i | −0.313746 | − | 0.949507i | \(-0.601584\pi\) |
−0.0199353 | + | 0.999801i | \(0.506346\pi\) | |||||||
\(762\) | −5.97892 | − | 7.49733i | −0.216593 | − | 0.271599i | ||||
\(763\) | −3.11934 | + | 0.698889i | −0.112928 | + | 0.0253015i | ||||
\(764\) | −31.4150 | + | 39.3932i | −1.13656 | + | 1.42520i | ||||
\(765\) | 13.9978 | − | 24.2450i | 0.506093 | − | 0.876578i | ||||
\(766\) | 0.133162 | + | 0.230644i | 0.00481135 | + | 0.00833350i | ||||
\(767\) | 4.66526 | + | 0.703175i | 0.168453 | + | 0.0253902i | ||||
\(768\) | 27.7768 | + | 25.7731i | 1.00231 | + | 0.930007i | ||||
\(769\) | −24.3872 | + | 11.7442i | −0.879424 | + | 0.423508i | −0.818414 | − | 0.574629i | \(-0.805146\pi\) |
−0.0610100 | + | 0.998137i | \(0.519432\pi\) | |||||||
\(770\) | −0.683886 | + | 0.391213i | −0.0246456 | + | 0.0140983i | ||||
\(771\) | −62.5905 | − | 30.1420i | −2.25414 | − | 1.08554i | ||||
\(772\) | −5.98705 | − | 15.2547i | −0.215479 | − | 0.549030i | ||||
\(773\) | 1.97387 | + | 26.3395i | 0.0709953 | + | 0.947366i | 0.913017 | + | 0.407922i | \(0.133747\pi\) |
−0.842021 | + | 0.539444i | \(0.818634\pi\) | |||||||
\(774\) | 4.68439 | − | 1.44494i | 0.168377 | − | 0.0519374i | ||||
\(775\) | 1.85803 | − | 24.7937i | 0.0667425 | − | 0.890616i | ||||
\(776\) | −0.554781 | − | 2.43066i | −0.0199155 | − | 0.0872554i | ||||
\(777\) | 14.5532 | − | 46.5205i | 0.522092 | − | 1.66892i | ||||
\(778\) | 0.284725 | − | 1.24746i | 0.0102079 | − | 0.0447236i | ||||
\(779\) | 4.46243 | + | 1.37648i | 0.159883 | + | 0.0493174i | ||||
\(780\) | 2.11944 | − | 5.40026i | 0.0758883 | − | 0.193360i | ||||
\(781\) | −11.8357 | + | 10.9820i | −0.423516 | + | 0.392965i | ||||
\(782\) | 3.49467 | − | 2.38263i | 0.124969 | − | 0.0852025i | ||||
\(783\) | −25.4931 | −0.911050 | ||||||||
\(784\) | 23.5764 | + | 11.5864i | 0.842013 | + | 0.413800i | ||||
\(785\) | −0.521962 | −0.0186296 | ||||||||
\(786\) | 4.01397 | − | 2.73668i | 0.143173 | − | 0.0976140i | ||||
\(787\) | 5.41538 | − | 5.02474i | 0.193037 | − | 0.179113i | −0.577732 | − | 0.816226i | \(-0.696062\pi\) |
0.770770 | + | 0.637114i | \(0.219872\pi\) | |||||||
\(788\) | 9.36089 | − | 23.8512i | 0.333468 | − | 0.849663i | ||||
\(789\) | −85.6932 | − | 26.4328i | −3.05076 | − | 0.941034i | ||||
\(790\) | −0.125731 | + | 0.550866i | −0.00447333 | + | 0.0195989i | ||||
\(791\) | 5.93178 | + | 8.77532i | 0.210910 | + | 0.312015i | ||||
\(792\) | −1.51892 | − | 6.65480i | −0.0539723 | − | 0.236468i | ||||
\(793\) | −0.403548 | + | 5.38498i | −0.0143304 | + | 0.191226i | ||||
\(794\) | −5.15831 | + | 1.59113i | −0.183062 | + | 0.0564671i | ||||
\(795\) | 0.818906 | + | 10.9275i | 0.0290436 | + | 0.387560i | ||||
\(796\) | −11.1141 | − | 28.3183i | −0.393929 | − | 1.00371i | ||||
\(797\) | −28.1193 | − | 13.5415i | −0.996036 | − | 0.479666i | −0.136445 | − | 0.990648i | \(-0.543568\pi\) |
−0.859591 | + | 0.510982i | \(0.829282\pi\) | |||||||
\(798\) | −0.674365 | + | 0.980684i | −0.0238723 | + | 0.0347158i | ||||
\(799\) | −8.43375 | + | 4.06148i | −0.298365 | + | 0.143685i | ||||
\(800\) | 6.97228 | + | 6.46933i | 0.246507 | + | 0.228725i | ||||
\(801\) | 8.14434 | + | 1.22756i | 0.287766 | + | 0.0433738i | ||||
\(802\) | −2.94679 | − | 5.10399i | −0.104055 | − | 0.180228i | ||||
\(803\) | −11.1472 | + | 19.3075i | −0.393377 | + | 0.681348i | ||||
\(804\) | −45.7502 | + | 57.3690i | −1.61349 | + | 2.02325i | ||||
\(805\) | 0.0452323 | − | 11.3393i | 0.00159423 | − | 0.399659i | ||||
\(806\) | −0.789103 | − | 0.989504i | −0.0277950 | − | 0.0348538i | ||||
\(807\) | −81.7392 | + | 12.3202i | −2.87736 | + | 0.433692i | ||||
\(808\) | −0.463516 | − | 0.316020i | −0.0163064 | − | 0.0111175i | ||||
\(809\) | 24.5556 | + | 16.7417i | 0.863327 | + | 0.588607i | 0.911992 | − | 0.410209i | \(-0.134544\pi\) |
−0.0486645 | + | 0.998815i | \(0.515497\pi\) | |||||||
\(810\) | −1.43377 | + | 0.216106i | −0.0503775 | + | 0.00759318i | ||||
\(811\) | −7.61998 | − | 9.55515i | −0.267574 | − | 0.335527i | 0.629834 | − | 0.776730i | \(-0.283123\pi\) |
−0.897407 | + | 0.441204i | \(0.854552\pi\) | |||||||
\(812\) | 12.5438 | − | 9.92174i | 0.440201 | − | 0.348185i | ||||
\(813\) | 33.2704 | − | 41.7198i | 1.16684 | − | 1.46318i | ||||
\(814\) | 0.926087 | − | 1.60403i | 0.0324593 | − | 0.0562212i | ||||
\(815\) | 0.897052 | + | 1.55374i | 0.0314224 | + | 0.0544251i | ||||
\(816\) | −53.2563 | − | 8.02710i | −1.86434 | − | 0.281005i | ||||
\(817\) | 2.27165 | + | 2.10779i | 0.0794751 | + | 0.0737421i | ||||
\(818\) | −4.58243 | + | 2.20678i | −0.160221 | + | 0.0771584i | ||||
\(819\) | 14.2288 | + | 5.65000i | 0.497195 | + | 0.197427i | ||||
\(820\) | −11.0520 | − | 5.32237i | −0.385953 | − | 0.185865i | ||||
\(821\) | 1.73415 | + | 4.41854i | 0.0605222 | + | 0.154208i | 0.957936 | − | 0.286982i | \(-0.0926519\pi\) |
−0.897414 | + | 0.441190i | \(0.854557\pi\) | |||||||
\(822\) | 0.312183 | + | 4.16579i | 0.0108886 | + | 0.145299i | ||||
\(823\) | −12.3322 | + | 3.80399i | −0.429875 | + | 0.132599i | −0.502139 | − | 0.864787i | \(-0.667454\pi\) |
0.0722645 | + | 0.997386i | \(0.476977\pi\) | |||||||
\(824\) | −1.03717 | + | 13.8401i | −0.0361315 | + | 0.482142i | ||||
\(825\) | 3.86144 | + | 16.9181i | 0.134438 | + | 0.589012i | ||||
\(826\) | 2.19680 | + | 1.28003i | 0.0764364 | + | 0.0445380i | ||||
\(827\) | −3.88268 | + | 17.0112i | −0.135014 | + | 0.591536i | 0.861474 | + | 0.507802i | \(0.169542\pi\) |
−0.996488 | + | 0.0837340i | \(0.973315\pi\) | |||||||
\(828\) | 46.4466 | + | 14.3269i | 1.61413 | + | 0.497893i | ||||
\(829\) | −0.569690 | + | 1.45155i | −0.0197862 | + | 0.0504143i | −0.940425 | − | 0.340000i | \(-0.889573\pi\) |
0.920639 | + | 0.390414i | \(0.127668\pi\) | |||||||
\(830\) | −2.16310 | + | 2.00706i | −0.0750822 | + | 0.0696661i | ||||
\(831\) | 12.7718 | − | 8.70769i | 0.443050 | − | 0.302066i | ||||
\(832\) | −7.02143 | −0.243424 | ||||||||
\(833\) | −33.5518 | + | 4.78369i | −1.16250 | + | 0.165745i | ||||
\(834\) | 4.44682 | 0.153981 | ||||||||
\(835\) | 4.70999 | − | 3.21122i | 0.162996 | − | 0.111129i | ||||
\(836\) | 1.56498 | − | 1.45209i | 0.0541261 | − | 0.0502217i | ||||
\(837\) | 18.7499 | − | 47.7741i | 0.648093 | − | 1.65131i | ||||
\(838\) | −4.30646 | − | 1.32837i | −0.148764 | − | 0.0458877i | ||||
\(839\) | −7.92446 | + | 34.7193i | −0.273583 | + | 1.19864i | 0.632168 | + | 0.774832i | \(0.282165\pi\) |
−0.905750 | + | 0.423812i | \(0.860692\pi\) | |||||||
\(840\) | 4.31637 | − | 4.61488i | 0.148929 | − | 0.159229i | ||||
\(841\) | 4.33328 | + | 18.9854i | 0.149424 | + | 0.654667i | ||||
\(842\) | −0.340440 | + | 4.54285i | −0.0117323 | + | 0.156557i | ||||
\(843\) | −21.8788 | + | 6.74871i | −0.753545 | + | 0.232438i | ||||
\(844\) | 2.83757 | + | 37.8648i | 0.0976733 | + | 1.30336i | ||||
\(845\) | 0.365081 | + | 0.930211i | 0.0125592 | + | 0.0320002i | ||||
\(846\) | 2.05308 | + | 0.988713i | 0.0705865 | + | 0.0339927i | ||||
\(847\) | −6.81968 | − | 22.4261i | −0.234327 | − | 0.770569i | ||||
\(848\) | 12.5085 | − | 6.02378i | 0.429544 | − | 0.206858i | ||||
\(849\) | −11.9419 | − | 11.0804i | −0.409844 | − | 0.380279i | ||||
\(850\) | −3.90199 | − | 0.588130i | −0.133837 | − | 0.0201727i | ||||
\(851\) | 13.3286 | + | 23.0858i | 0.456899 | + | 0.791372i | ||||
\(852\) | 32.0337 | − | 55.4840i | 1.09746 | − | 1.90085i | ||||
\(853\) | 23.3855 | − | 29.3244i | 0.800703 | − | 1.00405i | −0.199008 | − | 0.979998i | \(-0.563772\pi\) |
0.999711 | − | 0.0240517i | \(-0.00765662\pi\) | |||||||
\(854\) | −1.27310 | + | 2.61687i | −0.0435646 | + | 0.0895474i | ||||
\(855\) | −2.68612 | − | 3.36828i | −0.0918632 | − | 0.115193i | ||||
\(856\) | −11.8654 | + | 1.78841i | −0.405550 | + | 0.0611268i | ||||
\(857\) | −16.4522 | − | 11.2169i | −0.561996 | − | 0.383162i | 0.248744 | − | 0.968569i | \(-0.419982\pi\) |
−0.810740 | + | 0.585407i | \(0.800935\pi\) | |||||||
\(858\) | 0.729845 | + | 0.497600i | 0.0249165 | + | 0.0169878i | ||||
\(859\) | 10.9594 | − | 1.65186i | 0.373930 | − | 0.0563608i | 0.0406109 | − | 0.999175i | \(-0.487070\pi\) |
0.333319 | + | 0.942814i | \(0.391831\pi\) | |||||||
\(860\) | −5.07529 | − | 6.36422i | −0.173066 | − | 0.217018i | ||||
\(861\) | 21.5042 | − | 44.2020i | 0.732862 | − | 1.50640i | ||||
\(862\) | 0.741521 | − | 0.929838i | 0.0252563 | − | 0.0316704i | ||||
\(863\) | −9.21978 | + | 15.9691i | −0.313845 | + | 0.543595i | −0.979191 | − | 0.202940i | \(-0.934951\pi\) |
0.665346 | + | 0.746535i | \(0.268284\pi\) | |||||||
\(864\) | 9.81644 | + | 17.0026i | 0.333962 | + | 0.578440i | ||||
\(865\) | 12.4152 | + | 1.87129i | 0.422130 | + | 0.0636259i | ||||
\(866\) | 5.12903 | + | 4.75905i | 0.174292 | + | 0.161719i | ||||
\(867\) | 17.2016 | − | 8.28385i | 0.584197 | − | 0.281334i | ||||
\(868\) | 9.36749 | + | 30.8044i | 0.317953 | + | 1.04557i | ||||
\(869\) | 3.65921 | + | 1.76218i | 0.124130 | + | 0.0597780i | ||||
\(870\) | −0.680333 | − | 1.73346i | −0.0230655 | − | 0.0587698i | ||||
\(871\) | −0.944553 | − | 12.6042i | −0.0320050 | − | 0.427076i | ||||
\(872\) | 0.930906 | − | 0.287147i | 0.0315245 | − | 0.00972401i | ||||
\(873\) | −1.33711 | + | 17.8424i | −0.0452541 | + | 0.603875i | ||||
\(874\) | −0.144836 | − | 0.634567i | −0.00489914 | − | 0.0214646i | ||||
\(875\) | −16.2566 | + | 17.3809i | −0.549573 | + | 0.587581i | ||||
\(876\) | 19.6854 | − | 86.2472i | 0.665107 | − | 2.91402i | ||||
\(877\) | −8.80133 | − | 2.71485i | −0.297200 | − | 0.0916740i | 0.142569 | − | 0.989785i | \(-0.454464\pi\) |
−0.439769 | + | 0.898111i | \(0.644940\pi\) | |||||||
\(878\) | −1.86030 | + | 4.73997i | −0.0627821 | + | 0.159966i | ||||
\(879\) | −39.9957 | + | 37.1106i | −1.34902 | + | 1.25171i | ||||
\(880\) | −4.53323 | + | 3.09070i | −0.152815 | + | 0.104188i | ||||
\(881\) | −49.9492 | −1.68283 | −0.841416 | − | 0.540388i | \(-0.818277\pi\) | ||||
−0.841416 | + | 0.540388i | \(0.818277\pi\) | |||||||
\(882\) | 6.00297 | + | 5.65973i | 0.202130 | + | 0.190573i | ||||
\(883\) | 15.8937 | 0.534866 | 0.267433 | − | 0.963576i | \(-0.413825\pi\) | ||||
0.267433 | + | 0.963576i | \(0.413825\pi\) | |||||||
\(884\) | 7.83465 | − | 5.34158i | 0.263508 | − | 0.179657i | ||||
\(885\) | −10.2444 | + | 9.50540i | −0.344361 | + | 0.319520i | ||||
\(886\) | −3.11395 | + | 7.93421i | −0.104615 | + | 0.266555i | ||||
\(887\) | −47.8081 | − | 14.7469i | −1.60524 | − | 0.495151i | −0.642661 | − | 0.766151i | \(-0.722170\pi\) |
−0.962579 | + | 0.271000i | \(0.912646\pi\) | |||||||
\(888\) | −3.30548 | + | 14.4823i | −0.110925 | + | 0.485993i | ||||
\(889\) | −36.3078 | − | 21.1559i | −1.21772 | − | 0.709545i | ||||
\(890\) | 0.0644680 | + | 0.282453i | 0.00216097 | + | 0.00946784i | ||||
\(891\) | −0.778856 | + | 10.3931i | −0.0260927 | + | 0.348182i | ||||
\(892\) | −12.4364 | + | 3.83612i | −0.416401 | + | 0.128443i | ||||
\(893\) | 0.107649 | + | 1.43648i | 0.00360234 | + | 0.0480699i | ||||
\(894\) | −0.337882 | − | 0.860910i | −0.0113005 | − | 0.0287932i | ||||
\(895\) | −15.8054 | − | 7.61147i | −0.528316 | − | 0.254423i | ||||
\(896\) | −15.2067 | − | 6.03829i | −0.508019 | − | 0.201725i | ||||
\(897\) | −11.4543 | + | 5.51609i | −0.382447 | + | 0.184177i | ||||
\(898\) | 2.47849 | + | 2.29970i | 0.0827083 | + | 0.0767421i | ||||
\(899\) | 18.9640 | + | 2.85836i | 0.632484 | + | 0.0953316i | ||||
\(900\) | −22.6737 | − | 39.2721i | −0.755792 | − | 1.30907i | ||||
\(901\) | −8.95569 | + | 15.5117i | −0.298357 | + | 0.516770i | ||||
\(902\) | 1.16456 | − | 1.46032i | 0.0387757 | − | 0.0486232i | ||||
\(903\) | 25.5835 | − | 20.2357i | 0.851366 | − | 0.673403i | ||||
\(904\) | −2.01259 | − | 2.52371i | −0.0669378 | − | 0.0839373i | ||||
\(905\) | 6.90537 | − | 1.04082i | 0.229542 | − | 0.0345979i | ||||
\(906\) | 6.14883 | + | 4.19220i | 0.204281 | + | 0.139277i | ||||
\(907\) | 26.8334 | + | 18.2947i | 0.890989 | + | 0.607466i | 0.919916 | − | 0.392115i | \(-0.128257\pi\) |
−0.0289270 | + | 0.999582i | \(0.509209\pi\) | |||||||
\(908\) | 0.341978 | − | 0.0515449i | 0.0113489 | − | 0.00171058i | ||||
\(909\) | 2.51019 | + | 3.14768i | 0.0832579 | + | 0.104402i | ||||
\(910\) | −0.00214812 | + | 0.538515i | −7.12096e−5 | + | 0.0178516i | ||||
\(911\) | −15.8227 | + | 19.8410i | −0.524229 | + | 0.657363i | −0.971501 | − | 0.237036i | \(-0.923824\pi\) |
0.447272 | + | 0.894398i | \(0.352396\pi\) | |||||||
\(912\) | −4.14404 | + | 7.17769i | −0.137223 | + | 0.237677i | ||||
\(913\) | 10.6051 | + | 18.3686i | 0.350979 | + | 0.607913i | ||||
\(914\) | 0.0463380 | + | 0.00698433i | 0.00153272 | + | 0.000231021i | ||||
\(915\) | −11.7255 | − | 10.8797i | −0.387634 | − | 0.359672i | ||||
\(916\) | −8.75538 | + | 4.21637i | −0.289286 | + | 0.139313i | ||||
\(917\) | 12.0624 | − | 17.5416i | 0.398336 | − | 0.579274i | ||||
\(918\) | −7.33868 | − | 3.53412i | −0.242212 | − | 0.116643i | ||||
\(919\) | −7.30550 | − | 18.6141i | −0.240986 | − | 0.614023i | 0.758296 | − | 0.651911i | \(-0.226032\pi\) |
−0.999282 | + | 0.0378876i | \(0.987937\pi\) | |||||||
\(920\) | 0.258244 | + | 3.44603i | 0.00851406 | + | 0.113612i | ||||
\(921\) | 68.5182 | − | 21.1351i | 2.25775 | − | 0.696424i | ||||
\(922\) | 0.201412 | − | 2.68766i | 0.00663317 | − | 0.0885134i | ||||
\(923\) | 2.45570 | + | 10.7591i | 0.0808302 | + | 0.354140i | ||||
\(924\) | −12.5847 | − | 18.6175i | −0.414006 | − | 0.612470i | ||||
\(925\) | 5.53412 | − | 24.2466i | 0.181961 | − | 0.797223i | ||||
\(926\) | −5.34647 | − | 1.64917i | −0.175696 | − | 0.0541950i | ||||
\(927\) | 36.3891 | − | 92.7180i | 1.19518 | − | 3.04526i | ||||
\(928\) | −5.37805 | + | 4.99010i | −0.176543 | + | 0.163808i | ||||
\(929\) | 44.4993 | − | 30.3391i | 1.45998 | − | 0.995395i | 0.466119 | − | 0.884722i | \(-0.345652\pi\) |
0.993857 | − | 0.110672i | \(-0.0353004\pi\) | |||||||
\(930\) | 3.74888 | 0.122931 | ||||||||
\(931\) | −1.20107 | + | 5.07525i | −0.0393635 | + | 0.166335i | ||||
\(932\) | 30.1112 | 0.986324 | ||||||||
\(933\) | 21.0633 | − | 14.3607i | 0.689581 | − | 0.470148i | ||||
\(934\) | −3.45019 | + | 3.20131i | −0.112894 | + | 0.104750i | ||||
\(935\) | 2.58603 | − | 6.58910i | 0.0845722 | − | 0.215487i | ||||
\(936\) | −4.45830 | − | 1.37520i | −0.145724 | − | 0.0449500i | ||||
\(937\) | 6.63291 | − | 29.0607i | 0.216688 | − | 0.949371i | −0.743218 | − | 0.669049i | \(-0.766702\pi\) |
0.959906 | − | 0.280322i | \(-0.0904413\pi\) | |||||||
\(938\) | 2.03367 | − | 6.50080i | 0.0664015 | − | 0.212259i | ||||
\(939\) | −8.66387 | − | 37.9589i | −0.282735 | − | 1.23874i | ||||
\(940\) | 0.282771 | − | 3.77332i | 0.00922298 | − | 0.123072i | ||||
\(941\) | 9.63148 | − | 2.97092i | 0.313977 | − | 0.0968492i | −0.133762 | − | 0.991014i | \(-0.542706\pi\) |
0.447739 | + | 0.894164i | \(0.352229\pi\) | |||||||
\(942\) | 0.0235674 | + | 0.314486i | 0.000767868 | + | 0.0102465i | ||||
\(943\) | 9.82121 | + | 25.0240i | 0.319823 | + | 0.814895i | ||||
\(944\) | 15.9521 | + | 7.68213i | 0.519197 | + | 0.250032i | ||||
\(945\) | −18.9550 | + | 10.8431i | −0.616607 | + | 0.352726i | ||||
\(946\) | 1.11672 | − | 0.537783i | 0.0363076 | − | 0.0174848i | ||||
\(947\) | 33.7262 | + | 31.2934i | 1.09596 | + | 1.01690i | 0.999768 | + | 0.0215351i | \(0.00685538\pi\) |
0.0961877 | + | 0.995363i | \(0.469335\pi\) | |||||||
\(948\) | −15.9359 | − | 2.40195i | −0.517574 | − | 0.0780117i | ||||
\(949\) | 7.61920 | + | 13.1968i | 0.247330 | + | 0.428388i | ||||
\(950\) | −0.303626 | + | 0.525895i | −0.00985092 | + | 0.0170623i | ||||
\(951\) | 64.7321 | − | 81.1715i | 2.09908 | − | 2.63217i | ||||
\(952\) | 10.0785 | − | 2.25809i | 0.326645 | − | 0.0731850i | ||||
\(953\) | 36.8769 | + | 46.2422i | 1.19456 | + | 1.49793i | 0.821581 | + | 0.570091i | \(0.193092\pi\) |
0.372979 | + | 0.927840i | \(0.378336\pi\) | |||||||
\(954\) | 4.31159 | − | 0.649867i | 0.139593 | − | 0.0210402i | ||||
\(955\) | 21.2411 | + | 14.4820i | 0.687347 | + | 0.468625i | ||||
\(956\) | −43.5139 | − | 29.6673i | −1.40734 | − | 0.959508i | ||||
\(957\) | −13.2358 | + | 1.99498i | −0.427852 | + | 0.0644884i | ||||
\(958\) | −4.59980 | − | 5.76797i | −0.148613 | − | 0.186355i | ||||
\(959\) | 7.87684 | + | 16.5247i | 0.254356 | + | 0.533611i | ||||
\(960\) | 12.9674 | − | 16.2606i | 0.418520 | − | 0.524808i | ||||
\(961\) | −3.80438 | + | 6.58937i | −0.122722 | + | 0.212560i | ||||
\(962\) | −0.632987 | − | 1.09637i | −0.0204083 | − | 0.0353483i | ||||
\(963\) | 85.1530 | + | 12.8347i | 2.74402 | + | 0.413594i | ||||
\(964\) | 43.4066 | + | 40.2755i | 1.39803 | + | 1.29718i | ||||
\(965\) | −7.53335 | + | 3.62787i | −0.242507 | + | 0.116785i | ||||
\(966\) | −6.83406 | + | 0.484736i | −0.219882 | + | 0.0155961i | ||||
\(967\) | −6.70889 | − | 3.23083i | −0.215743 | − | 0.103897i | 0.322891 | − | 0.946436i | \(-0.395345\pi\) |
−0.538634 | + | 0.842540i | \(0.681060\pi\) | |||||||
\(968\) | 2.60977 | + | 6.64957i | 0.0838810 | + | 0.213725i | ||||
\(969\) | −0.799066 | − | 10.6628i | −0.0256697 | − | 0.342538i | ||||
\(970\) | −0.601414 | + | 0.185512i | −0.0193102 | + | 0.00595642i | ||||
\(971\) | −1.40572 | + | 18.7581i | −0.0451118 | + | 0.601975i | 0.928140 | + | 0.372232i | \(0.121407\pi\) |
−0.973251 | + | 0.229743i | \(0.926212\pi\) | |||||||
\(972\) | 1.59628 | + | 6.99374i | 0.0512006 | + | 0.224324i | ||||
\(973\) | 18.1676 | − | 7.04674i | 0.582425 | − | 0.225908i | ||||
\(974\) | 0.731314 | − | 3.20409i | 0.0234328 | − | 0.102666i | ||||
\(975\) | 11.3341 | + | 3.49609i | 0.362980 | + | 0.111965i | ||||
\(976\) | −7.40378 | + | 18.8645i | −0.236989 | + | 0.603838i | ||||
\(977\) | 7.88341 | − | 7.31474i | 0.252213 | − | 0.234019i | −0.543926 | − | 0.839133i | \(-0.683063\pi\) |
0.796139 | + | 0.605114i | \(0.206872\pi\) | |||||||
\(978\) | 0.895635 | − | 0.610633i | 0.0286392 | − | 0.0195259i | ||||
\(979\) | 2.08247 | 0.0665559 | ||||||||
\(980\) | 5.10669 | − | 12.7125i | 0.163127 | − | 0.406085i | ||||
\(981\) | −6.99135 | −0.223217 | ||||||||
\(982\) | 3.30878 | − | 2.25589i | 0.105587 | − | 0.0719882i | ||||
\(983\) | 7.05476 | − | 6.54586i | 0.225012 | − | 0.208780i | −0.559608 | − | 0.828757i | \(-0.689048\pi\) |
0.784620 | + | 0.619977i | \(0.212858\pi\) | |||||||
\(984\) | −5.47286 | + | 13.9446i | −0.174468 | + | 0.444538i | ||||
\(985\) | −12.4924 | − | 3.85340i | −0.398042 | − | 0.122780i | ||||
\(986\) | 0.677306 | − | 2.96747i | 0.0215698 | − | 0.0945035i | ||||
\(987\) | 15.1157 | + | 1.19342i | 0.481139 | + | 0.0379870i | ||||
\(988\) | −0.324705 | − | 1.42263i | −0.0103303 | − | 0.0452598i | ||||
\(989\) | −1.33310 | + | 17.7889i | −0.0423900 | + | 0.565656i | ||||
\(990\) | −1.64659 | + | 0.507905i | −0.0523320 | + | 0.0161423i | ||||
\(991\) | 0.979549 | + | 13.0712i | 0.0311164 | + | 0.415220i | 0.990911 | + | 0.134517i | \(0.0429484\pi\) |
−0.959795 | + | 0.280702i | \(0.909433\pi\) | |||||||
\(992\) | −5.39594 | − | 13.7486i | −0.171321 | − | 0.436519i | ||||
\(993\) | 41.2884 | + | 19.8834i | 1.31025 | + | 0.630982i | ||||
\(994\) | −0.909839 | + | 5.87722i | −0.0288583 | + | 0.186414i | ||||
\(995\) | −13.9846 | + | 6.73462i | −0.443341 | + | 0.213502i | ||||
\(996\) | −61.6960 | − | 57.2455i | −1.95491 | − | 1.81389i | ||||
\(997\) | −2.17759 | − | 0.328219i | −0.0689651 | − | 0.0103948i | 0.114469 | − | 0.993427i | \(-0.463483\pi\) |
−0.183434 | + | 0.983032i | \(0.558721\pi\) | |||||||
\(998\) | 2.37821 | + | 4.11919i | 0.0752811 | + | 0.130391i | ||||
\(999\) | 25.6680 | − | 44.4583i | 0.812100 | − | 1.40660i |
(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 | 637.2.bl.b.625.15 | yes | 348 | |
49.4 | even | 21 | inner | 637.2.bl.b.53.15 | ✓ | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.15 | ✓ | 348 | 49.4 | even | 21 | inner | |
637.2.bl.b.625.15 | yes | 348 | 1.1 | even | 1 | trivial |