Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 648.11 |
Dual form | 648.2.bb.b.59.9 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36258 | + | 0.378650i | −0.963489 | + | 0.267746i | ||||
\(3\) | 1.53556 | + | 0.801277i | 0.886558 | + | 0.462617i | ||||
\(4\) | 1.71325 | − | 1.03188i | 0.856624 | − | 0.515941i | ||||
\(5\) | 3.32079 | + | 0.388144i | 1.48510 | + | 0.173583i | 0.819653 | − | 0.572860i | \(-0.194166\pi\) |
0.665449 | + | 0.746444i | \(0.268240\pi\) | |||||||
\(6\) | −2.39573 | − | 0.510362i | −0.978053 | − | 0.208355i | ||||
\(7\) | −1.72247 | − | 3.42973i | −0.651034 | − | 1.29632i | −0.940717 | − | 0.339192i | \(-0.889846\pi\) |
0.289683 | − | 0.957123i | \(-0.406450\pi\) | |||||||
\(8\) | −1.94371 | + | 2.05474i | −0.687207 | + | 0.726462i | ||||
\(9\) | 1.71591 | + | 2.46082i | 0.571970 | + | 0.820274i | ||||
\(10\) | −4.67181 | + | 0.728539i | −1.47736 | + | 0.230384i | ||||
\(11\) | −0.940294 | − | 0.405603i | −0.283509 | − | 0.122294i | 0.249577 | − | 0.968355i | \(-0.419709\pi\) |
−0.533086 | + | 0.846061i | \(0.678968\pi\) | |||||||
\(12\) | 3.45762 | − | 0.211735i | 0.998130 | − | 0.0611227i | ||||
\(13\) | −0.161661 | − | 0.682099i | −0.0448366 | − | 0.189180i | 0.946018 | − | 0.324114i | \(-0.105066\pi\) |
−0.990855 | + | 0.134933i | \(0.956918\pi\) | |||||||
\(14\) | 3.64568 | + | 4.02106i | 0.974348 | + | 1.07467i | ||||
\(15\) | 4.78827 | + | 3.25689i | 1.23633 | + | 0.840926i | ||||
\(16\) | 1.87044 | − | 3.53574i | 0.467609 | − | 0.883935i | ||||
\(17\) | 5.93324 | − | 1.04619i | 1.43902 | − | 0.253739i | 0.600946 | − | 0.799290i | \(-0.294791\pi\) |
0.838077 | + | 0.545551i | \(0.183680\pi\) | |||||||
\(18\) | −3.26986 | − | 2.70334i | −0.770713 | − | 0.637183i | ||||
\(19\) | −1.27783 | + | 7.24691i | −0.293153 | + | 1.66255i | 0.381462 | + | 0.924385i | \(0.375421\pi\) |
−0.674615 | + | 0.738170i | \(0.735690\pi\) | |||||||
\(20\) | 6.08985 | − | 2.76168i | 1.36173 | − | 0.617529i | ||||
\(21\) | 0.103193 | − | 6.64674i | 0.0225186 | − | 1.45044i | ||||
\(22\) | 1.43481 | + | 0.196624i | 0.305902 | + | 0.0419205i | ||||
\(23\) | 3.70572 | + | 1.86108i | 0.772697 | + | 0.388063i | 0.791037 | − | 0.611769i | \(-0.209542\pi\) |
−0.0183396 | + | 0.999832i | \(0.505838\pi\) | |||||||
\(24\) | −4.63112 | + | 1.59774i | −0.945323 | + | 0.326137i | ||||
\(25\) | 6.01175 | + | 1.42481i | 1.20235 | + | 0.284962i | ||||
\(26\) | 0.478552 | + | 0.868202i | 0.0938519 | + | 0.170268i | ||||
\(27\) | 0.663090 | + | 5.15367i | 0.127612 | + | 0.991824i | ||||
\(28\) | −6.49010 | − | 4.09858i | −1.22651 | − | 0.774559i | ||||
\(29\) | −2.78929 | − | 9.31688i | −0.517958 | − | 1.73010i | −0.670600 | − | 0.741819i | \(-0.733963\pi\) |
0.152642 | − | 0.988282i | \(-0.451222\pi\) | |||||||
\(30\) | −7.75762 | − | 2.62469i | −1.41634 | − | 0.479202i | ||||
\(31\) | 0.412241 | + | 0.626783i | 0.0740408 | + | 0.112573i | 0.870610 | − | 0.491974i | \(-0.163724\pi\) |
−0.796569 | + | 0.604547i | \(0.793354\pi\) | |||||||
\(32\) | −1.20981 | + | 5.52597i | −0.213866 | + | 0.976863i | ||||
\(33\) | −1.11888 | − | 1.37627i | −0.194772 | − | 0.239577i | ||||
\(34\) | −7.68838 | + | 3.67214i | −1.31855 | + | 0.629767i | ||||
\(35\) | −4.38874 | − | 12.0580i | −0.741833 | − | 2.03817i | ||||
\(36\) | 5.47906 | + | 2.44538i | 0.913177 | + | 0.407564i | ||||
\(37\) | 0.558209 | − | 1.53367i | 0.0917689 | − | 0.252133i | −0.885313 | − | 0.464995i | \(-0.846056\pi\) |
0.977082 | + | 0.212862i | \(0.0682784\pi\) | |||||||
\(38\) | −1.00290 | − | 10.3583i | −0.162693 | − | 1.68034i | ||||
\(39\) | 0.298310 | − | 1.17694i | 0.0477679 | − | 0.188461i | ||||
\(40\) | −7.25220 | + | 6.06893i | −1.14667 | + | 0.959582i | ||||
\(41\) | 4.81302 | − | 4.54085i | 0.751668 | − | 0.709162i | −0.211703 | − | 0.977334i | \(-0.567901\pi\) |
0.963371 | + | 0.268172i | \(0.0864195\pi\) | |||||||
\(42\) | 2.37618 | + | 9.09579i | 0.366653 | + | 1.40351i | ||||
\(43\) | −2.41655 | − | 3.24599i | −0.368521 | − | 0.495010i | 0.578722 | − | 0.815525i | \(-0.303551\pi\) |
−0.947243 | + | 0.320515i | \(0.896144\pi\) | |||||||
\(44\) | −2.02949 | + | 0.275374i | −0.305958 | + | 0.0415142i | ||||
\(45\) | 4.74302 | + | 8.83789i | 0.707048 | + | 1.31748i | ||||
\(46\) | −5.75405 | − | 1.13270i | −0.848388 | − | 0.167008i | ||||
\(47\) | −1.77247 | − | 1.16577i | −0.258541 | − | 0.170045i | 0.413621 | − | 0.910449i | \(-0.364264\pi\) |
−0.672162 | + | 0.740404i | \(0.734634\pi\) | |||||||
\(48\) | 5.70528 | − | 3.93062i | 0.823487 | − | 0.567336i | ||||
\(49\) | −4.61600 | + | 6.20037i | −0.659429 | + | 0.885767i | ||||
\(50\) | −8.73100 | + | 0.334932i | −1.23475 | + | 0.0473666i | ||||
\(51\) | 9.94916 | + | 3.14768i | 1.39316 | + | 0.440763i | ||||
\(52\) | −0.980811 | − | 1.00179i | −0.136014 | − | 0.138923i | ||||
\(53\) | 6.38574 | + | 11.0604i | 0.877149 | + | 1.51927i | 0.854456 | + | 0.519524i | \(0.173891\pi\) |
0.0226927 | + | 0.999742i | \(0.492776\pi\) | |||||||
\(54\) | −2.85495 | − | 6.77121i | −0.388510 | − | 0.921445i | ||||
\(55\) | −2.96509 | − | 1.71189i | −0.399812 | − | 0.230832i | ||||
\(56\) | 10.3952 | + | 3.12717i | 1.38912 | + | 0.417885i | ||||
\(57\) | −7.76896 | + | 10.1042i | −1.02902 | + | 1.33833i | ||||
\(58\) | 7.32847 | + | 11.6388i | 0.962275 | + | 1.52825i | ||||
\(59\) | −11.6365 | + | 5.01950i | −1.51494 | + | 0.653483i | −0.981345 | − | 0.192255i | \(-0.938420\pi\) |
−0.533599 | + | 0.845738i | \(0.679161\pi\) | |||||||
\(60\) | 11.5642 | + | 0.638930i | 1.49293 | + | 0.0824856i | ||||
\(61\) | −4.97245 | − | 0.289612i | −0.636656 | − | 0.0370810i | −0.263219 | − | 0.964736i | \(-0.584784\pi\) |
−0.373438 | + | 0.927655i | \(0.621821\pi\) | |||||||
\(62\) | −0.799043 | − | 0.697946i | −0.101479 | − | 0.0886393i | ||||
\(63\) | 5.48434 | − | 10.1238i | 0.690962 | − | 1.27548i | ||||
\(64\) | −0.443946 | − | 7.98767i | −0.0554933 | − | 0.998459i | ||||
\(65\) | −0.272087 | − | 2.32785i | −0.0337483 | − | 0.288735i | ||||
\(66\) | 2.04569 | + | 1.45161i | 0.251807 | + | 0.178681i | ||||
\(67\) | 0.651628 | − | 2.17659i | 0.0796091 | − | 0.265913i | −0.908914 | − | 0.416984i | \(-0.863087\pi\) |
0.988523 | + | 0.151071i | \(0.0482723\pi\) | |||||||
\(68\) | 9.08557 | − | 7.91479i | 1.10179 | − | 0.959810i | ||||
\(69\) | 4.19913 | + | 5.82713i | 0.505516 | + | 0.701503i | ||||
\(70\) | 10.5458 | + | 14.7681i | 1.26046 | + | 1.76513i | ||||
\(71\) | 5.76176 | − | 4.83469i | 0.683795 | − | 0.573773i | −0.233317 | − | 0.972401i | \(-0.574958\pi\) |
0.917113 | + | 0.398628i | \(0.130514\pi\) | |||||||
\(72\) | −8.39160 | − | 1.25738i | −0.988960 | − | 0.148184i | ||||
\(73\) | 2.41918 | + | 2.02994i | 0.283144 | + | 0.237586i | 0.773287 | − | 0.634056i | \(-0.218611\pi\) |
−0.490143 | + | 0.871642i | \(0.663056\pi\) | |||||||
\(74\) | −0.179881 | + | 2.30111i | −0.0209107 | + | 0.267498i | ||||
\(75\) | 8.08976 | + | 7.00497i | 0.934125 | + | 0.808864i | ||||
\(76\) | 5.28872 | + | 13.7343i | 0.606658 | + | 1.57543i | ||||
\(77\) | 0.228523 | + | 3.92359i | 0.0260427 | + | 0.447135i | ||||
\(78\) | 0.0391775 | + | 1.71663i | 0.00443598 | + | 0.194370i | ||||
\(79\) | −2.86107 | − | 2.69928i | −0.321895 | − | 0.303692i | 0.508284 | − | 0.861190i | \(-0.330280\pi\) |
−0.830179 | + | 0.557497i | \(0.811762\pi\) | |||||||
\(80\) | 7.58370 | − | 11.0154i | 0.847884 | − | 1.23156i | ||||
\(81\) | −3.11130 | + | 8.44511i | −0.345700 | + | 0.938345i | ||||
\(82\) | −4.83873 | + | 8.00973i | −0.534349 | + | 0.884527i | ||||
\(83\) | 0.655704 | + | 0.618625i | 0.0719729 | + | 0.0679029i | 0.721388 | − | 0.692531i | \(-0.243505\pi\) |
−0.649415 | + | 0.760434i | \(0.724986\pi\) | |||||||
\(84\) | −6.68186 | − | 11.4940i | −0.729051 | − | 1.25410i | ||||
\(85\) | 20.1091 | − | 1.17122i | 2.18114 | − | 0.127037i | ||||
\(86\) | 4.52184 | + | 3.50790i | 0.487603 | + | 0.378266i | ||||
\(87\) | 3.18227 | − | 16.5417i | 0.341175 | − | 1.77345i | ||||
\(88\) | 2.66108 | − | 1.14369i | 0.283672 | − | 0.121917i | ||||
\(89\) | 5.88245 | − | 7.01043i | 0.623538 | − | 0.743104i | −0.358136 | − | 0.933669i | \(-0.616588\pi\) |
0.981674 | + | 0.190566i | \(0.0610322\pi\) | |||||||
\(90\) | −9.80922 | − | 10.2464i | −1.03398 | − | 1.08006i | ||||
\(91\) | −2.06096 | + | 1.72935i | −0.216047 | + | 0.181285i | ||||
\(92\) | 8.26925 | − | 0.635372i | 0.862128 | − | 0.0662421i | ||||
\(93\) | 0.130796 | + | 1.29278i | 0.0135630 | + | 0.134055i | ||||
\(94\) | 2.85655 | + | 0.917310i | 0.294630 | + | 0.0946133i | ||||
\(95\) | −7.05623 | + | 23.5695i | −0.723954 | + | 2.41818i | ||||
\(96\) | −6.28557 | + | 7.51609i | −0.641519 | + | 0.767107i | ||||
\(97\) | −16.8545 | + | 1.97001i | −1.71132 | + | 0.200024i | −0.914608 | − | 0.404341i | \(-0.867501\pi\) |
−0.796707 | + | 0.604365i | \(0.793427\pi\) | |||||||
\(98\) | 3.94190 | − | 10.1963i | 0.398192 | − | 1.02999i | ||||
\(99\) | −0.615343 | − | 3.00988i | −0.0618443 | − | 0.302504i | ||||
\(100\) | 11.7699 | − | 3.76237i | 1.17699 | − | 0.376237i | ||||
\(101\) | −0.471434 | + | 8.09421i | −0.0469095 | + | 0.805404i | 0.890028 | + | 0.455906i | \(0.150685\pi\) |
−0.936937 | + | 0.349498i | \(0.886352\pi\) | |||||||
\(102\) | −14.7484 | − | 0.521711i | −1.46031 | − | 0.0516570i | ||||
\(103\) | −15.8345 | + | 6.83035i | −1.56022 | + | 0.673014i | −0.989018 | − | 0.147794i | \(-0.952783\pi\) |
−0.571204 | + | 0.820808i | \(0.693524\pi\) | |||||||
\(104\) | 1.71576 | + | 0.993635i | 0.168244 | + | 0.0974340i | ||||
\(105\) | 2.92258 | − | 22.0324i | 0.285215 | − | 2.15014i | ||||
\(106\) | −12.8891 | − | 12.6528i | −1.25190 | − | 1.22894i | ||||
\(107\) | 9.74617 | + | 5.62695i | 0.942198 | + | 0.543978i | 0.890649 | − | 0.454692i | \(-0.150251\pi\) |
0.0515493 | + | 0.998670i | \(0.483584\pi\) | |||||||
\(108\) | 6.45402 | + | 8.14528i | 0.621038 | + | 0.783780i | ||||
\(109\) | −12.5778 | + | 7.26182i | −1.20474 | + | 0.695556i | −0.961605 | − | 0.274437i | \(-0.911509\pi\) |
−0.243133 | + | 0.969993i | \(0.578175\pi\) | |||||||
\(110\) | 4.68838 | + | 1.20986i | 0.447019 | + | 0.115356i | ||||
\(111\) | 2.08606 | − | 1.90776i | 0.198000 | − | 0.181077i | ||||
\(112\) | −15.3484 | − | 0.324868i | −1.45029 | − | 0.0306972i | ||||
\(113\) | 1.07088 | + | 0.797239i | 0.100740 | + | 0.0749980i | 0.646350 | − | 0.763041i | \(-0.276295\pi\) |
−0.545610 | + | 0.838039i | \(0.683702\pi\) | |||||||
\(114\) | 6.75987 | − | 16.7095i | 0.633120 | − | 1.56499i | ||||
\(115\) | 11.5836 | + | 7.61863i | 1.08017 | + | 0.710440i | ||||
\(116\) | −14.3927 | − | 13.0839i | −1.33633 | − | 1.21481i | ||||
\(117\) | 1.40113 | − | 1.56824i | 0.129535 | − | 0.144984i | ||||
\(118\) | 13.9550 | − | 11.2456i | 1.28466 | − | 1.03524i | ||||
\(119\) | −13.8080 | − | 18.5474i | −1.26578 | − | 1.70023i | ||||
\(120\) | −15.9991 | + | 3.50820i | −1.46051 | + | 0.320254i | ||||
\(121\) | −6.82902 | − | 7.23834i | −0.620820 | − | 0.658031i | ||||
\(122\) | 6.88502 | − | 1.48820i | 0.623340 | − | 0.134735i | ||||
\(123\) | 11.0292 | − | 3.11621i | 0.994468 | − | 0.280979i | ||||
\(124\) | 1.35304 | + | 0.648449i | 0.121506 | + | 0.0582325i | ||||
\(125\) | 3.70191 | + | 1.34739i | 0.331109 | + | 0.120514i | ||||
\(126\) | −3.63947 | + | 15.8711i | −0.324230 | + | 1.41391i | ||||
\(127\) | −0.601289 | − | 1.65203i | −0.0533558 | − | 0.146594i | 0.910152 | − | 0.414275i | \(-0.135965\pi\) |
−0.963508 | + | 0.267681i | \(0.913743\pi\) | |||||||
\(128\) | 3.62945 | + | 10.7157i | 0.320801 | + | 0.947147i | ||||
\(129\) | −1.10983 | − | 6.92076i | −0.0977152 | − | 0.609339i | ||||
\(130\) | 1.25218 | + | 3.06886i | 0.109824 | + | 0.269157i | ||||
\(131\) | −6.75086 | − | 10.2642i | −0.589825 | − | 0.896786i | 0.410058 | − | 0.912059i | \(-0.365508\pi\) |
−0.999883 | + | 0.0152737i | \(0.995138\pi\) | |||||||
\(132\) | −3.33707 | − | 1.20333i | −0.290454 | − | 0.104737i | ||||
\(133\) | 27.0559 | − | 8.10001i | 2.34605 | − | 0.702360i | ||||
\(134\) | −0.0637293 | + | 3.21252i | −0.00550537 | + | 0.277519i | ||||
\(135\) | 0.201611 | + | 17.3716i | 0.0173519 | + | 1.49511i | ||||
\(136\) | −9.38288 | + | 14.2248i | −0.804575 | + | 1.21977i | ||||
\(137\) | −4.72303 | + | 19.9280i | −0.403516 | + | 1.70257i | 0.269552 | + | 0.962986i | \(0.413124\pi\) |
−0.673068 | + | 0.739581i | \(0.735024\pi\) | |||||||
\(138\) | −7.92809 | − | 6.34992i | −0.674884 | − | 0.540541i | ||||
\(139\) | 0.568107 | + | 0.285314i | 0.0481862 | + | 0.0242000i | 0.472729 | − | 0.881208i | \(-0.343269\pi\) |
−0.424543 | + | 0.905408i | \(0.639565\pi\) | |||||||
\(140\) | −19.9614 | − | 16.1296i | −1.68705 | − | 1.36320i | ||||
\(141\) | −1.78763 | − | 3.21035i | −0.150546 | − | 0.270360i | ||||
\(142\) | −6.02020 | + | 8.76935i | −0.505204 | + | 0.735907i | ||||
\(143\) | −0.124653 | + | 0.706944i | −0.0104240 | + | 0.0591176i | ||||
\(144\) | 11.9103 | − | 1.46420i | 0.992528 | − | 0.122017i | ||||
\(145\) | −5.64635 | − | 32.0220i | −0.468904 | − | 2.65928i | ||||
\(146\) | −4.06497 | − | 1.84992i | −0.336419 | − | 0.153101i | ||||
\(147\) | −12.0564 | + | 5.82236i | −0.994393 | + | 0.480220i | ||||
\(148\) | −0.626213 | − | 3.20356i | −0.0514744 | − | 0.263331i | ||||
\(149\) | −13.9327 | + | 3.30211i | −1.14141 | + | 0.270519i | −0.757490 | − | 0.652846i | \(-0.773575\pi\) |
−0.383921 | + | 0.923366i | \(0.625427\pi\) | |||||||
\(150\) | −13.6754 | − | 6.48164i | −1.11659 | − | 0.529224i | ||||
\(151\) | −8.02477 | − | 3.46155i | −0.653046 | − | 0.281697i | 0.0436673 | − | 0.999046i | \(-0.486096\pi\) |
−0.696714 | + | 0.717349i | \(0.745355\pi\) | |||||||
\(152\) | −12.4068 | − | 16.7115i | −1.00633 | − | 1.35548i | ||||
\(153\) | 12.7554 | + | 12.8055i | 1.03121 | + | 1.03526i | ||||
\(154\) | −1.79705 | − | 5.25968i | −0.144811 | − | 0.423837i | ||||
\(155\) | 1.12568 | + | 2.24142i | 0.0904171 | + | 0.180035i | ||||
\(156\) | −0.703386 | − | 2.32421i | −0.0563159 | − | 0.186086i | ||||
\(157\) | 1.60652 | − | 13.7446i | 0.128214 | − | 1.09694i | −0.763965 | − | 0.645258i | \(-0.776750\pi\) |
0.892179 | − | 0.451682i | \(-0.149176\pi\) | |||||||
\(158\) | 4.92052 | + | 2.59464i | 0.391455 | + | 0.206418i | ||||
\(159\) | 0.943246 | + | 22.1007i | 0.0748043 | + | 1.75270i | ||||
\(160\) | −6.16240 | + | 17.8810i | −0.487181 | + | 1.41362i | ||||
\(161\) | − | 15.9153i | − | 1.25430i | ||||||
\(162\) | 1.04165 | − | 12.6852i | 0.0818400 | − | 0.996645i | ||||
\(163\) | −10.6876 | −0.837119 | −0.418560 | − | 0.908189i | \(-0.637465\pi\) | ||||
−0.418560 | + | 0.908189i | \(0.637465\pi\) | |||||||
\(164\) | 3.56028 | − | 12.7461i | 0.278011 | − | 0.995302i | ||||
\(165\) | −3.18138 | − | 5.00458i | −0.247670 | − | 0.389606i | ||||
\(166\) | −1.12769 | − | 0.594643i | −0.0875259 | − | 0.0461533i | ||||
\(167\) | −6.45057 | − | 0.753963i | −0.499160 | − | 0.0583434i | −0.137212 | − | 0.990542i | \(-0.543814\pi\) |
−0.361948 | + | 0.932198i | \(0.617888\pi\) | |||||||
\(168\) | 13.4568 | + | 13.1314i | 1.03821 | + | 1.01311i | ||||
\(169\) | 11.1781 | − | 5.61385i | 0.859854 | − | 0.431835i | ||||
\(170\) | −26.9568 | + | 9.21021i | −2.06749 | + | 0.706391i | ||||
\(171\) | −20.0260 | + | 9.29054i | −1.53143 | + | 0.710466i | ||||
\(172\) | −7.48964 | − | 3.06759i | −0.571080 | − | 0.233902i | ||||
\(173\) | −9.27817 | + | 21.5092i | −0.705406 | + | 1.63532i | 0.0650965 | + | 0.997879i | \(0.479264\pi\) |
−0.770503 | + | 0.637437i | \(0.779995\pi\) | |||||||
\(174\) | 1.92741 | + | 23.7443i | 0.146116 | + | 1.80005i | ||||
\(175\) | −5.46837 | − | 23.0729i | −0.413370 | − | 1.74415i | ||||
\(176\) | −3.19287 | + | 2.56598i | −0.240672 | + | 0.193418i | ||||
\(177\) | −21.8906 | − | 1.61630i | −1.64540 | − | 0.121489i | ||||
\(178\) | −5.36080 | + | 11.7797i | −0.401809 | + | 0.882922i | ||||
\(179\) | 2.46275 | − | 0.434249i | 0.184075 | − | 0.0324573i | −0.0808509 | − | 0.996726i | \(-0.525764\pi\) |
0.264925 | + | 0.964269i | \(0.414653\pi\) | |||||||
\(180\) | 17.2456 | + | 10.2473i | 1.28541 | + | 0.763786i | ||||
\(181\) | 7.35828 | + | 1.29746i | 0.546937 | + | 0.0964397i | 0.440287 | − | 0.897857i | \(-0.354877\pi\) |
0.106650 | + | 0.994297i | \(0.465988\pi\) | |||||||
\(182\) | 2.15340 | − | 3.13676i | 0.159621 | − | 0.232512i | ||||
\(183\) | −7.40345 | − | 4.42902i | −0.547279 | − | 0.327403i | ||||
\(184\) | −11.0269 | + | 3.99690i | −0.812916 | + | 0.294655i | ||||
\(185\) | 2.44898 | − | 4.87631i | 0.180052 | − | 0.358514i | ||||
\(186\) | −0.667734 | − | 1.71200i | −0.0489606 | − | 0.125530i | ||||
\(187\) | −6.00333 | − | 1.42282i | −0.439007 | − | 0.104047i | ||||
\(188\) | −4.23961 | − | 0.168275i | −0.309206 | − | 0.0122727i | ||||
\(189\) | 16.5335 | − | 11.1513i | 1.20264 | − | 0.811136i | ||||
\(190\) | 0.690099 | − | 34.7871i | 0.0500651 | − | 2.52372i | ||||
\(191\) | −0.760510 | − | 2.54028i | −0.0550286 | − | 0.183808i | 0.926057 | − | 0.377385i | \(-0.123176\pi\) |
−0.981085 | + | 0.193576i | \(0.937991\pi\) | |||||||
\(192\) | 5.71863 | − | 12.6213i | 0.412707 | − | 0.910864i | ||||
\(193\) | 5.80740 | − | 3.81959i | 0.418026 | − | 0.274940i | −0.323023 | − | 0.946391i | \(-0.604699\pi\) |
0.741049 | + | 0.671451i | \(0.234329\pi\) | |||||||
\(194\) | 22.2197 | − | 9.06626i | 1.59528 | − | 0.650919i | ||||
\(195\) | 1.44745 | − | 3.79259i | 0.103654 | − | 0.271593i | ||||
\(196\) | −1.51031 | + | 15.3859i | −0.107879 | + | 1.09900i | ||||
\(197\) | −1.46113 | + | 0.531808i | −0.104101 | + | 0.0378898i | −0.393546 | − | 0.919305i | \(-0.628752\pi\) |
0.289444 | + | 0.957195i | \(0.406529\pi\) | |||||||
\(198\) | 1.97815 | + | 3.86820i | 0.140581 | + | 0.274901i | ||||
\(199\) | 2.57189 | − | 7.06622i | 0.182317 | − | 0.500911i | −0.814543 | − | 0.580104i | \(-0.803012\pi\) |
0.996859 | + | 0.0791928i | \(0.0252343\pi\) | |||||||
\(200\) | −14.6128 | + | 9.58319i | −1.03328 | + | 0.677634i | ||||
\(201\) | 2.74467 | − | 2.82016i | 0.193594 | − | 0.198919i | ||||
\(202\) | −2.42251 | − | 11.2075i | −0.170447 | − | 0.788558i | ||||
\(203\) | −27.1499 | + | 25.6146i | −1.90555 | + | 1.79779i | ||||
\(204\) | 20.2934 | − | 4.87361i | 1.42082 | − | 0.341221i | ||||
\(205\) | 17.7455 | − | 13.2111i | 1.23940 | − | 0.922701i | ||||
\(206\) | 18.9895 | − | 15.3026i | 1.32306 | − | 1.06619i | ||||
\(207\) | 1.77889 | + | 12.3126i | 0.123642 | + | 0.855784i | ||||
\(208\) | −2.71410 | − | 0.704234i | −0.188189 | − | 0.0488299i | ||||
\(209\) | 4.14090 | − | 6.29594i | 0.286432 | − | 0.435499i | ||||
\(210\) | 4.36032 | + | 31.1275i | 0.300890 | + | 2.14800i | ||||
\(211\) | 8.97381 | − | 12.0539i | 0.617782 | − | 0.829826i | −0.377585 | − | 0.925975i | \(-0.623245\pi\) |
0.995367 | + | 0.0961494i | \(0.0306527\pi\) | |||||||
\(212\) | 22.3534 | + | 12.3599i | 1.53524 | + | 0.848883i | ||||
\(213\) | 12.7215 | − | 2.80721i | 0.871661 | − | 0.192347i | ||||
\(214\) | −15.4106 | − | 3.97679i | −1.05345 | − | 0.271847i | ||||
\(215\) | −6.76495 | − | 11.7172i | −0.461366 | − | 0.799109i | ||||
\(216\) | −11.8783 | − | 8.65478i | −0.808218 | − | 0.588883i | ||||
\(217\) | 1.43962 | − | 2.49349i | 0.0977277 | − | 0.169269i | ||||
\(218\) | 14.3886 | − | 14.6574i | 0.974520 | − | 0.992725i | ||||
\(219\) | 2.08827 | + | 5.05553i | 0.141112 | + | 0.341621i | ||||
\(220\) | −6.84640 | + | 0.126723i | −0.461584 | + | 0.00854364i | ||||
\(221\) | −1.67278 | − | 3.87793i | −0.112523 | − | 0.260858i | ||||
\(222\) | −2.12004 | + | 3.38936i | −0.142288 | + | 0.227479i | ||||
\(223\) | −2.45016 | − | 0.142706i | −0.164075 | − | 0.00955627i | −0.0240892 | − | 0.999710i | \(-0.507669\pi\) |
−0.139986 | + | 0.990154i | \(0.544706\pi\) | |||||||
\(224\) | 21.0364 | − | 5.36902i | 1.40556 | − | 0.358733i | ||||
\(225\) | 6.80942 | + | 17.2387i | 0.453962 | + | 1.14925i | ||||
\(226\) | −1.76103 | − | 0.680814i | −0.117142 | − | 0.0452871i | ||||
\(227\) | −0.0445765 | − | 0.381377i | −0.00295865 | − | 0.0253129i | 0.991678 | − | 0.128740i | \(-0.0410932\pi\) |
−0.994637 | + | 0.103427i | \(0.967019\pi\) | |||||||
\(228\) | −2.88381 | + | 25.3276i | −0.190985 | + | 1.67736i | ||||
\(229\) | −6.84545 | − | 2.04939i | −0.452360 | − | 0.135428i | 0.0525151 | − | 0.998620i | \(-0.483276\pi\) |
−0.504875 | + | 0.863192i | \(0.668461\pi\) | |||||||
\(230\) | −18.6683 | − | 5.99487i | −1.23095 | − | 0.395290i | ||||
\(231\) | −2.79297 | + | 6.20804i | −0.183764 | + | 0.408459i | ||||
\(232\) | 24.5654 | + | 12.3781i | 1.61280 | + | 0.812660i | ||||
\(233\) | −2.88861 | − | 3.44251i | −0.189239 | − | 0.225527i | 0.663080 | − | 0.748549i | \(-0.269249\pi\) |
−0.852319 | + | 0.523022i | \(0.824805\pi\) | |||||||
\(234\) | −1.31534 | + | 2.66739i | −0.0859864 | + | 0.174373i | ||||
\(235\) | −5.43350 | − | 4.55925i | −0.354443 | − | 0.297413i | ||||
\(236\) | −14.7567 | + | 20.6071i | −0.960578 | + | 1.34141i | ||||
\(237\) | −2.23048 | − | 6.43742i | −0.144885 | − | 0.418155i | ||||
\(238\) | 25.8375 | + | 20.0439i | 1.67479 | + | 1.29925i | ||||
\(239\) | −0.569786 | − | 9.78284i | −0.0368564 | − | 0.632800i | −0.965270 | − | 0.261252i | \(-0.915864\pi\) |
0.928414 | − | 0.371547i | \(-0.121173\pi\) | |||||||
\(240\) | 20.4717 | − | 10.8383i | 1.32144 | − | 0.699607i | ||||
\(241\) | 9.16786 | − | 9.71736i | 0.590554 | − | 0.625950i | −0.361320 | − | 0.932442i | \(-0.617674\pi\) |
0.951873 | + | 0.306492i | \(0.0991551\pi\) | |||||||
\(242\) | 12.0459 | + | 7.27700i | 0.774339 | + | 0.467783i | ||||
\(243\) | −11.5445 | + | 10.4750i | −0.740578 | + | 0.671971i | ||||
\(244\) | −8.81788 | + | 4.63480i | −0.564507 | + | 0.296713i | ||||
\(245\) | −17.7354 | + | 18.7984i | −1.13307 | + | 1.20099i | ||||
\(246\) | −13.8482 | + | 8.42228i | −0.882929 | + | 0.536985i | ||||
\(247\) | 5.14968 | − | 0.299935i | 0.327667 | − | 0.0190844i | ||||
\(248\) | −2.08916 | − | 0.371236i | −0.132662 | − | 0.0235735i | ||||
\(249\) | 0.511186 | + | 1.47534i | 0.0323951 | + | 0.0934958i | ||||
\(250\) | −5.55434 | − | 0.434191i | −0.351287 | − | 0.0274606i | ||||
\(251\) | 10.7892 | − | 12.8581i | 0.681009 | − | 0.811595i | −0.309228 | − | 0.950988i | \(-0.600071\pi\) |
0.990237 | + | 0.139393i | \(0.0445150\pi\) | |||||||
\(252\) | −1.05055 | − | 23.0038i | −0.0661782 | − | 1.44910i | ||||
\(253\) | −2.72961 | − | 3.25302i | −0.171609 | − | 0.204516i | ||||
\(254\) | 1.44485 | + | 2.02334i | 0.0906577 | + | 0.126956i | ||||
\(255\) | 31.8173 | + | 14.3145i | 1.99248 | + | 0.896408i | ||||
\(256\) | −9.00293 | − | 13.2268i | −0.562683 | − | 0.826673i | ||||
\(257\) | −3.91813 | − | 1.17301i | −0.244406 | − | 0.0731705i | 0.162257 | − | 0.986749i | \(-0.448123\pi\) |
−0.406663 | + | 0.913578i | \(0.633308\pi\) | |||||||
\(258\) | 4.13278 | + | 9.00985i | 0.257296 | + | 0.560929i | ||||
\(259\) | −6.22156 | + | 0.727196i | −0.386589 | + | 0.0451857i | ||||
\(260\) | −2.86823 | − | 3.70743i | −0.177880 | − | 0.229925i | ||||
\(261\) | 18.1410 | − | 22.8509i | 1.12290 | − | 1.41443i | ||||
\(262\) | 13.0851 | + | 11.4296i | 0.808401 | + | 0.706120i | ||||
\(263\) | −0.245523 | + | 4.21548i | −0.0151396 | + | 0.259937i | 0.982242 | + | 0.187619i | \(0.0600769\pi\) |
−0.997382 | + | 0.0723187i | \(0.976960\pi\) | |||||||
\(264\) | 5.00266 | + | 0.376054i | 0.307892 | + | 0.0231445i | ||||
\(265\) | 16.9126 | + | 39.2079i | 1.03894 | + | 2.40852i | ||||
\(266\) | −33.7988 | + | 21.2817i | −2.07234 | + | 1.30486i | ||||
\(267\) | 14.6502 | − | 6.05149i | 0.896575 | − | 0.370345i | ||||
\(268\) | −1.12958 | − | 4.40144i | −0.0690004 | − | 0.268861i | ||||
\(269\) | 1.60873 | − | 2.78640i | 0.0980860 | − | 0.169890i | −0.812806 | − | 0.582534i | \(-0.802061\pi\) |
0.910892 | + | 0.412644i | \(0.135395\pi\) | |||||||
\(270\) | −6.85248 | − | 23.5939i | −0.417029 | − | 1.43588i | ||||
\(271\) | −10.9717 | + | 6.33454i | −0.666486 | + | 0.384796i | −0.794744 | − | 0.606945i | \(-0.792395\pi\) |
0.128258 | + | 0.991741i | \(0.459062\pi\) | |||||||
\(272\) | 7.39870 | − | 22.9352i | 0.448612 | − | 1.39065i | ||||
\(273\) | −4.55042 | + | 1.00413i | −0.275404 | + | 0.0607726i | ||||
\(274\) | −1.11025 | − | 28.9419i | −0.0670725 | − | 1.74844i | ||||
\(275\) | −5.07491 | − | 3.77813i | −0.306029 | − | 0.227830i | ||||
\(276\) | 13.2071 | + | 5.65030i | 0.794972 | + | 0.340108i | ||||
\(277\) | −13.3397 | + | 20.2820i | −0.801506 | + | 1.21863i | 0.170890 | + | 0.985290i | \(0.445336\pi\) |
−0.972395 | + | 0.233340i | \(0.925035\pi\) | |||||||
\(278\) | −0.882126 | − | 0.173649i | −0.0529064 | − | 0.0104148i | ||||
\(279\) | −0.835032 | + | 2.08996i | −0.0499920 | + | 0.125122i | ||||
\(280\) | 33.3065 | + | 14.4195i | 1.99044 | + | 0.861730i | ||||
\(281\) | −18.4788 | + | 13.7570i | −1.10235 | + | 0.820671i | −0.985023 | − | 0.172422i | \(-0.944841\pi\) |
−0.117330 | + | 0.993093i | \(0.537433\pi\) | |||||||
\(282\) | 3.65139 | + | 3.69747i | 0.217437 | + | 0.220181i | ||||
\(283\) | 16.9873 | + | 18.0055i | 1.00979 | + | 1.07032i | 0.997519 | + | 0.0703910i | \(0.0224247\pi\) |
0.0122713 | + | 0.999925i | \(0.496094\pi\) | |||||||
\(284\) | 4.88249 | − | 14.2285i | 0.289723 | − | 0.844306i | ||||
\(285\) | −29.7210 | + | 30.5384i | −1.76052 | + | 1.80894i | ||||
\(286\) | −0.0978345 | − | 1.01047i | −0.00578507 | − | 0.0597502i | ||||
\(287\) | −23.8642 | − | 8.68586i | −1.40866 | − | 0.512710i | ||||
\(288\) | −15.6744 | + | 6.50494i | −0.923621 | + | 0.383307i | ||||
\(289\) | 18.1341 | − | 6.60027i | 1.06671 | − | 0.388251i | ||||
\(290\) | 19.8187 | + | 41.4946i | 1.16380 | + | 2.43665i | ||||
\(291\) | −27.4597 | − | 10.4801i | −1.60972 | − | 0.614351i | ||||
\(292\) | 6.23931 | + | 0.981470i | 0.365128 | + | 0.0574362i | ||||
\(293\) | 6.19775 | − | 4.07632i | 0.362076 | − | 0.238141i | −0.355415 | − | 0.934708i | \(-0.615661\pi\) |
0.717492 | + | 0.696567i | \(0.245290\pi\) | |||||||
\(294\) | 14.2231 | − | 12.4986i | 0.829510 | − | 0.728932i | ||||
\(295\) | −40.5907 | + | 12.1520i | −2.36328 | + | 0.707519i | ||||
\(296\) | 2.06629 | + | 4.12798i | 0.120101 | + | 0.239934i | ||||
\(297\) | 1.46685 | − | 5.11492i | 0.0851151 | − | 0.296798i | ||||
\(298\) | 17.7341 | − | 9.77501i | 1.02731 | − | 0.566251i | ||||
\(299\) | 0.670375 | − | 2.82854i | 0.0387688 | − | 0.163578i | ||||
\(300\) | 21.0881 | + | 3.65357i | 1.21752 | + | 0.210939i | ||||
\(301\) | −6.97043 | + | 13.8793i | −0.401769 | + | 0.799987i | ||||
\(302\) | 12.2451 | + | 1.67805i | 0.704626 | + | 0.0965611i | ||||
\(303\) | −7.20962 | + | 12.0514i | −0.414182 | + | 0.692337i | ||||
\(304\) | 23.2331 | + | 18.0729i | 1.33251 | + | 1.03655i | ||||
\(305\) | −16.4000 | − | 2.89177i | −0.939063 | − | 0.165582i | ||||
\(306\) | −22.2291 | − | 12.6187i | −1.27075 | − | 0.721361i | ||||
\(307\) | 1.40209 | + | 7.95164i | 0.0800214 | + | 0.453824i | 0.998320 | + | 0.0579362i | \(0.0184520\pi\) |
−0.918299 | + | 0.395888i | \(0.870437\pi\) | |||||||
\(308\) | 4.44021 | + | 6.48628i | 0.253004 | + | 0.369590i | ||||
\(309\) | −29.7879 | − | 2.19941i | −1.69458 | − | 0.125120i | ||||
\(310\) | −2.38255 | − | 2.62788i | −0.135320 | − | 0.149253i | ||||
\(311\) | 26.6752 | − | 6.32214i | 1.51261 | − | 0.358496i | 0.611206 | − | 0.791471i | \(-0.290685\pi\) |
0.901406 | + | 0.432976i | \(0.142536\pi\) | |||||||
\(312\) | 1.83848 | + | 2.90059i | 0.104084 | + | 0.164214i | ||||
\(313\) | 6.35711 | − | 14.7374i | 0.359325 | − | 0.833009i | −0.638656 | − | 0.769493i | \(-0.720509\pi\) |
0.997981 | − | 0.0635167i | \(-0.0202316\pi\) | |||||||
\(314\) | 3.01540 | + | 19.3365i | 0.170169 | + | 1.09122i | ||||
\(315\) | 22.1418 | − | 31.4903i | 1.24755 | − | 1.77428i | ||||
\(316\) | −7.68706 | − | 1.67225i | −0.432431 | − | 0.0940713i | ||||
\(317\) | −5.26871 | + | 2.64604i | −0.295920 | + | 0.148617i | −0.590565 | − | 0.806990i | \(-0.701095\pi\) |
0.294645 | + | 0.955607i | \(0.404799\pi\) | |||||||
\(318\) | −9.65370 | − | 29.7569i | −0.541352 | − | 1.66868i | ||||
\(319\) | −1.15620 | + | 9.89195i | −0.0647350 | + | 0.553843i | ||||
\(320\) | 1.62612 | − | 26.6977i | 0.0909028 | − | 1.49245i | ||||
\(321\) | 10.4571 | + | 16.4499i | 0.583659 | + | 0.918145i | ||||
\(322\) | 6.02633 | + | 21.6859i | 0.335834 | + | 1.20851i | ||||
\(323\) | 44.3345i | 2.46684i | ||||||||
\(324\) | 3.38393 | + | 17.6791i | 0.187996 | + | 0.982170i | ||||
\(325\) | − | 4.33095i | − | 0.240238i | ||||||
\(326\) | 14.5627 | − | 4.04687i | 0.806556 | − | 0.224135i | ||||
\(327\) | −25.1328 | + | 1.07265i | −1.38985 | + | 0.0593178i | ||||
\(328\) | −0.0248528 | + | 18.7157i | −0.00137227 | + | 1.03340i | ||||
\(329\) | −0.945245 | + | 8.08709i | −0.0521131 | + | 0.445856i | ||||
\(330\) | 6.22986 | + | 5.61450i | 0.342943 | + | 0.309068i | ||||
\(331\) | 14.1147 | − | 7.08867i | 0.775815 | − | 0.389629i | −0.0164045 | − | 0.999865i | \(-0.505222\pi\) |
0.792219 | + | 0.610237i | \(0.208926\pi\) | |||||||
\(332\) | 1.76173 | + | 0.383248i | 0.0966876 | + | 0.0210335i | ||||
\(333\) | 4.73192 | − | 1.25798i | 0.259307 | − | 0.0689369i | ||||
\(334\) | 9.07490 | − | 1.41517i | 0.496557 | − | 0.0774349i | ||||
\(335\) | 3.00875 | − | 6.97507i | 0.164386 | − | 0.381089i | ||||
\(336\) | −23.3081 | − | 12.7972i | −1.27156 | − | 0.698143i | ||||
\(337\) | 7.26862 | − | 1.72269i | 0.395947 | − | 0.0938411i | −0.0278188 | − | 0.999613i | \(-0.508856\pi\) |
0.423766 | + | 0.905772i | \(0.360708\pi\) | |||||||
\(338\) | −13.1054 | + | 11.8819i | −0.712838 | + | 0.646291i | ||||
\(339\) | 1.00559 | + | 2.08228i | 0.0546163 | + | 0.113094i | ||||
\(340\) | 33.2433 | − | 22.7568i | 1.80287 | − | 1.23416i | ||||
\(341\) | −0.133403 | − | 0.756567i | −0.00722419 | − | 0.0409704i | ||||
\(342\) | 23.7691 | − | 20.2420i | 1.28529 | − | 1.09456i | ||||
\(343\) | 2.75894 | + | 0.486476i | 0.148969 | + | 0.0262672i | ||||
\(344\) | 11.3668 | + | 1.34389i | 0.612856 | + | 0.0724576i | ||||
\(345\) | 11.6827 | + | 20.9805i | 0.628973 | + | 1.12955i | ||||
\(346\) | 4.49778 | − | 32.8212i | 0.241802 | − | 1.76448i | ||||
\(347\) | 13.5337 | − | 26.9478i | 0.726527 | − | 1.44663i | −0.161515 | − | 0.986870i | \(-0.551638\pi\) |
0.888041 | − | 0.459763i | \(-0.152066\pi\) | |||||||
\(348\) | −11.6170 | − | 31.6237i | −0.622738 | − | 1.69521i | ||||
\(349\) | 2.38728 | − | 10.0727i | 0.127788 | − | 0.539182i | −0.871059 | − | 0.491179i | \(-0.836566\pi\) |
0.998847 | − | 0.0480029i | \(-0.0152857\pi\) | |||||||
\(350\) | 16.1876 | + | 29.3680i | 0.865266 | + | 1.56979i | ||||
\(351\) | 3.40812 | − | 1.28544i | 0.181912 | − | 0.0686116i | ||||
\(352\) | 3.37893 | − | 4.70534i | 0.180098 | − | 0.250795i | ||||
\(353\) | 25.3351 | − | 7.58484i | 1.34845 | − | 0.403700i | 0.470480 | − | 0.882411i | \(-0.344081\pi\) |
0.877973 | + | 0.478711i | \(0.158896\pi\) | |||||||
\(354\) | 30.4397 | − | 6.08654i | 1.61785 | − | 0.323496i | ||||
\(355\) | 21.0102 | − | 13.8186i | 1.11510 | − | 0.733415i | ||||
\(356\) | 2.84415 | − | 18.0806i | 0.150740 | − | 0.958269i | ||||
\(357\) | −6.34149 | − | 39.5447i | −0.335627 | − | 2.09293i | ||||
\(358\) | −3.19126 | + | 1.52422i | −0.168664 | + | 0.0805575i | ||||
\(359\) | 14.2521 | − | 5.18733i | 0.752196 | − | 0.273777i | 0.0626664 | − | 0.998035i | \(-0.480040\pi\) |
0.689529 | + | 0.724258i | \(0.257817\pi\) | |||||||
\(360\) | −27.3787 | − | 7.43265i | −1.44298 | − | 0.391735i | ||||
\(361\) | −33.0307 | − | 12.0222i | −1.73846 | − | 0.632746i | ||||
\(362\) | −10.5175 | + | 1.01832i | −0.552789 | + | 0.0535216i | ||||
\(363\) | −4.68648 | − | 16.5869i | −0.245976 | − | 0.870584i | ||||
\(364\) | −1.74645 | + | 5.08947i | −0.0915387 | + | 0.266761i | ||||
\(365\) | 7.24569 | + | 7.67998i | 0.379257 | + | 0.401988i | ||||
\(366\) | 11.7648 | + | 3.23158i | 0.614958 | + | 0.168917i | ||||
\(367\) | −3.91862 | + | 2.91730i | −0.204550 | + | 0.152282i | −0.694560 | − | 0.719435i | \(-0.744401\pi\) |
0.490009 | + | 0.871717i | \(0.336993\pi\) | |||||||
\(368\) | 13.5116 | − | 9.62144i | 0.704343 | − | 0.501552i | ||||
\(369\) | 19.4330 | + | 4.05230i | 1.01164 | + | 0.210954i | ||||
\(370\) | −1.49051 | + | 7.57167i | −0.0774879 | + | 0.393633i | ||||
\(371\) | 26.9350 | − | 40.9526i | 1.39839 | − | 2.12615i | ||||
\(372\) | 1.55809 | + | 2.07989i | 0.0807831 | + | 0.107837i | ||||
\(373\) | −3.08835 | − | 2.29919i | −0.159909 | − | 0.119048i | 0.514230 | − | 0.857652i | \(-0.328078\pi\) |
−0.674139 | + | 0.738605i | \(0.735485\pi\) | |||||||
\(374\) | 8.71877 | − | 0.334463i | 0.450837 | − | 0.0172947i | ||||
\(375\) | 4.60489 | + | 5.03525i | 0.237795 | + | 0.260019i | ||||
\(376\) | 5.84053 | − | 1.37604i | 0.301202 | − | 0.0709640i | ||||
\(377\) | −5.90412 | + | 3.40874i | −0.304078 | + | 0.175559i | ||||
\(378\) | −18.3058 | + | 21.4549i | −0.941550 | + | 1.10352i | ||||
\(379\) | −6.00463 | + | 10.4003i | −0.308437 | + | 0.534229i | −0.978021 | − | 0.208508i | \(-0.933139\pi\) |
0.669583 | + | 0.742737i | \(0.266473\pi\) | |||||||
\(380\) | 12.2318 | + | 47.6615i | 0.627480 | + | 2.44499i | ||||
\(381\) | 0.400415 | − | 3.01859i | 0.0205139 | − | 0.154647i | ||||
\(382\) | 1.99813 | + | 3.17337i | 0.102233 | + | 0.162364i | ||||
\(383\) | 10.4964 | + | 24.3334i | 0.536340 | + | 1.24338i | 0.943910 | + | 0.330203i | \(0.107117\pi\) |
−0.407570 | + | 0.913174i | \(0.633624\pi\) | |||||||
\(384\) | −3.01303 | + | 19.3629i | −0.153758 | + | 0.988109i | ||||
\(385\) | −0.764044 | + | 13.1181i | −0.0389393 | + | 0.668562i | ||||
\(386\) | −6.46676 | + | 7.40347i | −0.329150 | + | 0.376827i | ||||
\(387\) | 3.84123 | − | 11.5165i | 0.195261 | − | 0.585419i | ||||
\(388\) | −26.8431 | + | 20.7670i | −1.36275 | + | 1.05428i | ||||
\(389\) | 0.502263 | − | 0.0587061i | 0.0254657 | − | 0.00297652i | −0.103351 | − | 0.994645i | \(-0.532956\pi\) |
0.128816 | + | 0.991668i | \(0.458882\pi\) | |||||||
\(390\) | −0.536201 | + | 5.71578i | −0.0271516 | + | 0.289430i | ||||
\(391\) | 23.9340 | + | 7.16537i | 1.21040 | + | 0.362369i | ||||
\(392\) | −3.76798 | − | 21.5365i | −0.190312 | − | 1.08776i | ||||
\(393\) | −2.14192 | − | 21.1706i | −0.108046 | − | 1.06792i | ||||
\(394\) | 1.78954 | − | 1.27789i | 0.0901557 | − | 0.0643791i | ||||
\(395\) | −8.45329 | − | 10.0742i | −0.425331 | − | 0.506890i | ||||
\(396\) | −4.16008 | − | 4.52170i | −0.209052 | − | 0.227224i | ||||
\(397\) | −12.3801 | + | 14.7540i | −0.621337 | + | 0.740481i | −0.981300 | − | 0.192486i | \(-0.938345\pi\) |
0.359963 | + | 0.932967i | \(0.382789\pi\) | |||||||
\(398\) | −0.828784 | + | 10.6021i | −0.0415432 | + | 0.531437i | ||||
\(399\) | 48.0365 | + | 9.24121i | 2.40483 | + | 0.462639i | ||||
\(400\) | 16.2824 | − | 18.5910i | 0.814119 | − | 0.929549i | ||||
\(401\) | −19.2951 | + | 1.12381i | −0.963552 | + | 0.0561205i | −0.532702 | − | 0.846303i | \(-0.678823\pi\) |
−0.430850 | + | 0.902423i | \(0.641786\pi\) | |||||||
\(402\) | −2.67198 | + | 4.88196i | −0.133266 | + | 0.243490i | ||||
\(403\) | 0.360885 | − | 0.382516i | 0.0179770 | − | 0.0190545i | ||||
\(404\) | 7.54459 | + | 14.3539i | 0.375358 | + | 0.714131i | ||||
\(405\) | −13.6099 | + | 26.8368i | −0.676281 | + | 1.33353i | ||||
\(406\) | 27.2949 | − | 45.1822i | 1.35462 | − | 2.24236i | ||||
\(407\) | −1.14694 | + | 1.21569i | −0.0568517 | + | 0.0602593i | ||||
\(408\) | −25.8060 | + | 14.3248i | −1.27759 | + | 0.709183i | ||||
\(409\) | −0.788517 | − | 13.5383i | −0.0389897 | − | 0.669427i | −0.960019 | − | 0.279934i | \(-0.909687\pi\) |
0.921030 | − | 0.389493i | \(-0.127350\pi\) | |||||||
\(410\) | −19.1773 | + | 24.7205i | −0.947102 | + | 1.22086i | ||||
\(411\) | −23.2204 | + | 26.8163i | −1.14538 | + | 1.32275i | ||||
\(412\) | −20.0804 | + | 28.0415i | −0.989288 | + | 1.38150i | ||||
\(413\) | 37.2591 | + | 31.2641i | 1.83340 | + | 1.53840i | ||||
\(414\) | −7.08605 | − | 16.1033i | −0.348260 | − | 0.791434i | ||||
\(415\) | 1.93734 | + | 2.30883i | 0.0951002 | + | 0.113336i | ||||
\(416\) | 3.96484 | − | 0.0681201i | 0.194392 | − | 0.00333986i | ||||
\(417\) | 0.643749 | + | 0.893329i | 0.0315245 | + | 0.0437465i | ||||
\(418\) | −3.25835 | + | 10.1467i | −0.159371 | + | 0.496290i | ||||
\(419\) | −4.55286 | − | 1.36304i | −0.222422 | − | 0.0665887i | 0.173653 | − | 0.984807i | \(-0.444443\pi\) |
−0.396075 | + | 0.918218i | \(0.629628\pi\) | |||||||
\(420\) | −17.7277 | − | 40.7627i | −0.865024 | − | 1.98901i | ||||
\(421\) | 0.0623432 | + | 0.533380i | 0.00303842 | + | 0.0259954i | 0.994673 | − | 0.103085i | \(-0.0328715\pi\) |
−0.991634 | + | 0.129081i | \(0.958797\pi\) | |||||||
\(422\) | −7.66331 | + | 19.8224i | −0.373044 | + | 0.964937i | ||||
\(423\) | −0.172642 | − | 6.36209i | −0.00839414 | − | 0.309335i | ||||
\(424\) | −35.1384 | − | 8.37725i | −1.70647 | − | 0.406835i | ||||
\(425\) | 37.1598 | + | 2.16431i | 1.80252 | + | 0.104985i | ||||
\(426\) | −16.2711 | + | 8.64204i | −0.788337 | + | 0.418708i | ||||
\(427\) | 7.57162 | + | 17.5530i | 0.366416 | + | 0.849448i | ||||
\(428\) | 22.5040 | − | 0.416535i | 1.08777 | − | 0.0201340i | ||||
\(429\) | −0.757871 | + | 0.985676i | −0.0365904 | + | 0.0475889i | ||||
\(430\) | 13.6545 | + | 13.4041i | 0.658479 | + | 0.646404i | ||||
\(431\) | 11.1854 | − | 19.3737i | 0.538782 | − | 0.933199i | −0.460187 | − | 0.887822i | \(-0.652218\pi\) |
0.998970 | − | 0.0453768i | \(-0.0144489\pi\) | |||||||
\(432\) | 19.4623 | + | 7.29510i | 0.936381 | + | 0.350986i | ||||
\(433\) | −11.8148 | − | 20.4638i | −0.567782 | − | 0.983427i | −0.996785 | − | 0.0801240i | \(-0.974468\pi\) |
0.429003 | − | 0.903303i | \(-0.358865\pi\) | |||||||
\(434\) | −1.01743 | + | 3.94269i | −0.0488384 | + | 0.189255i | ||||
\(435\) | 16.9882 | − | 53.6961i | 0.814521 | − | 2.57453i | ||||
\(436\) | −14.0556 | + | 25.4201i | −0.673142 | + | 1.21740i | ||||
\(437\) | −18.2224 | + | 24.4769i | −0.871694 | + | 1.17089i | ||||
\(438\) | −4.75971 | − | 6.09784i | −0.227428 | − | 0.291366i | ||||
\(439\) | −3.41816 | + | 5.19706i | −0.163140 | + | 0.248042i | −0.907802 | − | 0.419400i | \(-0.862240\pi\) |
0.744662 | + | 0.667442i | \(0.232611\pi\) | |||||||
\(440\) | 9.28078 | − | 2.76506i | 0.442444 | − | 0.131819i | ||||
\(441\) | −23.1787 | − | 0.719888i | −1.10375 | − | 0.0342804i | ||||
\(442\) | 3.74767 | + | 4.65060i | 0.178259 | + | 0.221206i | ||||
\(443\) | 19.1252 | − | 14.2382i | 0.908668 | − | 0.676478i | −0.0377969 | − | 0.999285i | \(-0.512034\pi\) |
0.946465 | + | 0.322807i | \(0.104627\pi\) | |||||||
\(444\) | 1.60535 | − | 5.42103i | 0.0761863 | − | 0.257271i | ||||
\(445\) | 22.2554 | − | 20.9969i | 1.05501 | − | 0.995349i | ||||
\(446\) | 3.39257 | − | 0.733306i | 0.160643 | − | 0.0347230i | ||||
\(447\) | −24.0405 | − | 6.09335i | −1.13707 | − | 0.288206i | ||||
\(448\) | −26.6309 | + | 15.2812i | −1.25819 | + | 0.721967i | ||||
\(449\) | −10.0744 | + | 27.6792i | −0.475441 | + | 1.30626i | 0.437883 | + | 0.899032i | \(0.355728\pi\) |
−0.913324 | + | 0.407233i | \(0.866494\pi\) | |||||||
\(450\) | −15.8058 | − | 20.9107i | −0.745094 | − | 0.985741i | ||||
\(451\) | −6.36745 | + | 2.31756i | −0.299831 | + | 0.109130i | ||||
\(452\) | 2.65734 | + | 0.260848i | 0.124991 | + | 0.0122693i | ||||
\(453\) | −9.54888 | − | 11.7455i | −0.448646 | − | 0.551851i | ||||
\(454\) | 0.205147 | + | 0.502777i | 0.00962805 | + | 0.0235965i | ||||
\(455\) | −7.51524 | + | 4.94285i | −0.352320 | + | 0.231725i | ||||
\(456\) | −5.66089 | − | 35.6029i | −0.265095 | − | 1.66726i | ||||
\(457\) | 1.52932 | + | 5.10828i | 0.0715384 | + | 0.238955i | 0.986279 | − | 0.165086i | \(-0.0527903\pi\) |
−0.914741 | + | 0.404041i | \(0.867605\pi\) | |||||||
\(458\) | 10.1035 | + | 0.200430i | 0.472104 | + | 0.00936550i | ||||
\(459\) | 9.32599 | + | 29.8843i | 0.435300 | + | 1.39488i | ||||
\(460\) | 27.7070 | + | 1.09973i | 1.29185 | + | 0.0512749i | ||||
\(461\) | −12.7724 | − | 3.02711i | −0.594868 | − | 0.140986i | −0.0778565 | − | 0.996965i | \(-0.524808\pi\) |
−0.517012 | + | 0.855978i | \(0.672956\pi\) | |||||||
\(462\) | 1.45497 | − | 9.51651i | 0.0676915 | − | 0.442748i | ||||
\(463\) | 1.76610 | − | 3.51658i | 0.0820774 | − | 0.163430i | −0.848850 | − | 0.528634i | \(-0.822705\pi\) |
0.930927 | + | 0.365204i | \(0.119001\pi\) | |||||||
\(464\) | −38.1593 | − | 7.56443i | −1.77150 | − | 0.351170i | ||||
\(465\) | −0.0674396 | + | 4.34383i | −0.00312744 | + | 0.201440i | ||||
\(466\) | 5.23947 | + | 3.59693i | 0.242714 | + | 0.166624i | ||||
\(467\) | −39.3824 | − | 6.94418i | −1.82240 | − | 0.321338i | −0.845328 | − | 0.534247i | \(-0.820595\pi\) |
−0.977072 | + | 0.212909i | \(0.931706\pi\) | |||||||
\(468\) | 0.782246 | − | 4.13259i | 0.0361593 | − | 0.191029i | ||||
\(469\) | −8.58753 | + | 1.51421i | −0.396535 | + | 0.0699198i | ||||
\(470\) | 9.12994 | + | 4.15495i | 0.421133 | + | 0.191653i | ||||
\(471\) | 13.4802 | − | 19.8185i | 0.621133 | − | 0.913187i | ||||
\(472\) | 12.3043 | − | 33.6665i | 0.566349 | − | 1.54963i | ||||
\(473\) | 0.955685 | + | 4.03235i | 0.0439425 | + | 0.185408i | ||||
\(474\) | 5.47674 | + | 7.92693i | 0.251555 | + | 0.364096i | ||||
\(475\) | −18.0074 | + | 41.7460i | −0.826238 | + | 1.91544i | ||||
\(476\) | −42.7952 | − | 17.5280i | −1.96152 | − | 0.803395i | ||||
\(477\) | −16.2604 | + | 34.6929i | −0.744512 | + | 1.58848i | ||||
\(478\) | 4.48065 | + | 13.1142i | 0.204940 | + | 0.599828i | ||||
\(479\) | −0.237414 | + | 0.119234i | −0.0108477 | + | 0.00544793i | −0.454215 | − | 0.890892i | \(-0.650080\pi\) |
0.443367 | + | 0.896340i | \(0.353784\pi\) | |||||||
\(480\) | −23.7904 | + | 22.5196i | −1.08588 | + | 1.02788i | ||||
\(481\) | −1.13635 | − | 0.132821i | −0.0518132 | − | 0.00605610i | ||||
\(482\) | −8.81246 | + | 16.7121i | −0.401397 | + | 0.761215i | ||||
\(483\) | 12.7526 | − | 24.4389i | 0.580261 | − | 1.11201i | ||||
\(484\) | −19.1689 | − | 5.35432i | −0.871314 | − | 0.243378i | ||||
\(485\) | −56.7349 | −2.57620 | ||||||||
\(486\) | 11.7639 | − | 18.6443i | 0.533621 | − | 0.845723i | ||||
\(487\) | 0.529011i | 0.0239718i | 0.999928 | + | 0.0119859i | \(0.00381532\pi\) | ||||
−0.999928 | + | 0.0119859i | \(0.996185\pi\) | |||||||
\(488\) | 10.2601 | − | 9.65418i | 0.464453 | − | 0.437024i | ||||
\(489\) | −16.4115 | − | 8.56375i | −0.742155 | − | 0.387266i | ||||
\(490\) | 17.0479 | − | 32.3299i | 0.770145 | − | 1.46052i | ||||
\(491\) | −2.99167 | + | 25.5954i | −0.135012 | + | 1.15510i | 0.740551 | + | 0.672001i | \(0.234565\pi\) |
−0.875563 | + | 0.483104i | \(0.839509\pi\) | |||||||
\(492\) | 15.6802 | − | 16.7197i | 0.706917 | − | 0.753780i | ||||
\(493\) | −26.2968 | − | 52.3612i | −1.18435 | − | 2.35823i | ||||
\(494\) | −6.90328 | + | 2.35861i | −0.310593 | + | 0.106119i | ||||
\(495\) | −0.875157 | − | 10.2340i | −0.0393354 | − | 0.459984i | ||||
\(496\) | 2.98721 | − | 0.285221i | 0.134130 | − | 0.0128068i | ||||
\(497\) | −26.5062 | − | 11.4336i | −1.18896 | − | 0.512869i | ||||
\(498\) | −1.25517 | − | 1.81671i | −0.0562454 | − | 0.0814085i | ||||
\(499\) | 25.0013 | − | 5.92542i | 1.11921 | − | 0.265258i | 0.370944 | − | 0.928655i | \(-0.379034\pi\) |
0.748268 | + | 0.663397i | \(0.230886\pi\) | |||||||
\(500\) | 7.73263 | − | 1.51153i | 0.345814 | − | 0.0675977i | ||||
\(501\) | −9.30112 | − | 6.32645i | −0.415544 | − | 0.282645i | ||||
\(502\) | −9.83245 | + | 21.6055i | −0.438844 | + | 0.964301i | ||||
\(503\) | −6.30436 | − | 35.7538i | −0.281097 | − | 1.59418i | −0.718901 | − | 0.695112i | \(-0.755355\pi\) |
0.437804 | − | 0.899070i | \(-0.355756\pi\) | |||||||
\(504\) | 10.1418 | + | 30.9467i | 0.451754 | + | 1.37848i | ||||
\(505\) | −4.70726 | + | 26.6962i | −0.209470 | + | 1.18796i | ||||
\(506\) | 4.95107 | + | 3.39894i | 0.220102 | + | 0.151101i | ||||
\(507\) | 21.6629 | + | 0.336325i | 0.962085 | + | 0.0149367i | ||||
\(508\) | −2.73486 | − | 2.20988i | −0.121340 | − | 0.0980474i | ||||
\(509\) | 10.0987 | + | 5.07176i | 0.447618 | + | 0.224802i | 0.658305 | − | 0.752752i | \(-0.271274\pi\) |
−0.210687 | + | 0.977554i | \(0.567570\pi\) | |||||||
\(510\) | −48.7738 | − | 7.45700i | −2.15974 | − | 0.330201i | ||||
\(511\) | 2.79515 | − | 11.7936i | 0.123650 | − | 0.521720i | ||||
\(512\) | 17.2755 | + | 14.6136i | 0.763478 | + | 0.645834i | ||||
\(513\) | −38.1955 | − | 1.78014i | −1.68637 | − | 0.0785951i | ||||
\(514\) | 5.78293 | + | 0.114721i | 0.255074 | + | 0.00506011i | ||||
\(515\) | −55.2343 | + | 16.5361i | −2.43391 | + | 0.728666i | ||||
\(516\) | −9.04283 | − | 10.7118i | −0.398088 | − | 0.471559i | ||||
\(517\) | 1.19380 | + | 1.81509i | 0.0525033 | + | 0.0798274i | ||||
\(518\) | 8.20201 | − | 3.34666i | 0.360376 | − | 0.147044i | ||||
\(519\) | −31.4821 | + | 25.5944i | −1.38191 | + | 1.12347i | ||||
\(520\) | 5.31201 | + | 3.96562i | 0.232947 | + | 0.173904i | ||||
\(521\) | 2.67266 | + | 7.34308i | 0.117092 | + | 0.321706i | 0.984369 | − | 0.176119i | \(-0.0563543\pi\) |
−0.867277 | + | 0.497825i | \(0.834132\pi\) | |||||||
\(522\) | −16.0661 | + | 38.0053i | −0.703194 | + | 1.66344i | ||||
\(523\) | 14.7706 | + | 5.37606i | 0.645874 | + | 0.235079i | 0.644126 | − | 0.764920i | \(-0.277221\pi\) |
0.00174797 | + | 0.999998i | \(0.499444\pi\) | |||||||
\(524\) | −22.1573 | − | 10.6190i | −0.967947 | − | 0.463893i | ||||
\(525\) | 10.0907 | − | 39.8115i | 0.440396 | − | 1.73752i | ||||
\(526\) | −1.26165 | − | 5.83689i | −0.0550104 | − | 0.254500i | ||||
\(527\) | 3.10166 | + | 3.28757i | 0.135111 | + | 0.143209i | ||||
\(528\) | −6.95892 | + | 1.38186i | −0.302848 | + | 0.0601375i | ||||
\(529\) | −3.46589 | − | 4.65550i | −0.150691 | − | 0.202413i | ||||
\(530\) | −37.8909 | − | 47.0199i | −1.64588 | − | 2.04242i | ||||
\(531\) | −32.3193 | − | 20.0224i | −1.40254 | − | 0.868897i | ||||
\(532\) | 37.9953 | − | 41.7959i | 1.64730 | − | 1.81208i | ||||
\(533\) | −3.87539 | − | 2.54888i | −0.167862 | − | 0.110404i | ||||
\(534\) | −17.6706 | + | 13.7929i | −0.764682 | + | 0.596878i | ||||
\(535\) | 30.1809 | + | 22.4688i | 1.30483 | + | 0.971413i | ||||
\(536\) | 3.20576 | + | 5.56960i | 0.138468 | + | 0.240570i | ||||
\(537\) | 4.12966 | + | 1.30653i | 0.178208 | + | 0.0563808i | ||||
\(538\) | −1.13695 | + | 4.40584i | −0.0490174 | + | 0.189949i | ||||
\(539\) | 6.85529 | − | 3.95791i | 0.295278 | − | 0.170479i | ||||
\(540\) | 18.2709 | + | 29.5539i | 0.786254 | + | 1.27180i | ||||
\(541\) | −6.82627 | − | 3.94115i | −0.293484 | − | 0.169443i | 0.346028 | − | 0.938224i | \(-0.387530\pi\) |
−0.639512 | + | 0.768781i | \(0.720864\pi\) | |||||||
\(542\) | 12.5513 | − | 12.7858i | 0.539125 | − | 0.549196i | ||||
\(543\) | 10.2595 | + | 7.88836i | 0.440277 | + | 0.338522i | ||||
\(544\) | −1.39688 | + | 34.0526i | −0.0598908 | + | 1.45999i | ||||
\(545\) | −44.5870 | + | 19.2329i | −1.90990 | + | 0.823849i | ||||
\(546\) | 5.82010 | − | 3.09122i | 0.249077 | − | 0.132292i | ||||
\(547\) | −2.49788 | + | 42.8869i | −0.106801 | + | 1.83371i | 0.341562 | + | 0.939859i | \(0.389044\pi\) |
−0.448364 | + | 0.893851i | \(0.647993\pi\) | |||||||
\(548\) | 12.4717 | + | 39.0153i | 0.532763 | + | 1.66665i | ||||
\(549\) | −7.81959 | − | 12.7333i | −0.333732 | − | 0.543442i | ||||
\(550\) | 8.34556 | + | 3.22639i | 0.355856 | + | 0.137574i | ||||
\(551\) | 71.0828 | − | 8.30838i | 3.02823 | − | 0.353949i | ||||
\(552\) | −20.1352 | − | 2.69813i | −0.857010 | − | 0.114840i | ||||
\(553\) | −4.32967 | + | 14.4621i | −0.184116 | + | 0.614992i | ||||
\(554\) | 10.4966 | − | 32.6870i | 0.445959 | − | 1.38874i | ||||
\(555\) | 7.66784 | − | 5.52558i | 0.325482 | − | 0.234548i | ||||
\(556\) | 1.26772 | − | 0.0974060i | 0.0537633 | − | 0.00413093i | ||||
\(557\) | 20.4125 | − | 17.1281i | 0.864904 | − | 0.725741i | −0.0981146 | − | 0.995175i | \(-0.531281\pi\) |
0.963019 | + | 0.269434i | \(0.0868367\pi\) | |||||||
\(558\) | 0.346435 | − | 3.16392i | 0.0146658 | − | 0.133939i | ||||
\(559\) | −1.82343 | + | 2.17308i | −0.0771229 | + | 0.0919114i | ||||
\(560\) | −50.8427 | − | 7.03622i | −2.14850 | − | 0.297334i | ||||
\(561\) | −8.07843 | − | 6.99516i | −0.341072 | − | 0.295336i | ||||
\(562\) | 19.9698 | − | 25.7420i | 0.842374 | − | 1.08586i | ||||
\(563\) | 17.5193 | − | 1.02038i | 0.738351 | − | 0.0430041i | 0.315153 | − | 0.949041i | \(-0.397944\pi\) |
0.423199 | + | 0.906037i | \(0.360907\pi\) | |||||||
\(564\) | −6.37536 | − | 3.65550i | −0.268451 | − | 0.153924i | ||||
\(565\) | 3.24672 | + | 3.06312i | 0.136590 | + | 0.128866i | ||||
\(566\) | −29.9644 | − | 18.1017i | −1.25950 | − | 0.760870i | ||||
\(567\) | 34.3235 | − | 3.87556i | 1.44145 | − | 0.162758i | ||||
\(568\) | −1.26517 | + | 21.2362i | −0.0530852 | + | 0.891052i | ||||
\(569\) | 28.6565 | + | 27.0360i | 1.20134 | + | 1.13341i | 0.987678 | + | 0.156499i | \(0.0500209\pi\) |
0.213663 | + | 0.976907i | \(0.431461\pi\) | |||||||
\(570\) | 28.9338 | − | 52.8649i | 1.21190 | − | 2.21427i | ||||
\(571\) | 2.71792 | + | 46.6649i | 0.113742 | + | 1.95287i | 0.264709 | + | 0.964328i | \(0.414724\pi\) |
−0.150967 | + | 0.988539i | \(0.548239\pi\) | |||||||
\(572\) | 0.515921 | + | 1.33980i | 0.0215718 | + | 0.0560198i | ||||
\(573\) | 0.867656 | − | 4.51014i | 0.0362469 | − | 0.188414i | ||||
\(574\) | 35.8058 | + | 2.79899i | 1.49450 | + | 0.116828i | ||||
\(575\) | 19.6262 | + | 16.4683i | 0.818469 | + | 0.686777i | ||||
\(576\) | 18.8945 | − | 14.7986i | 0.787270 | − | 0.616609i | ||||
\(577\) | 9.48274 | − | 7.95696i | 0.394772 | − | 0.331253i | −0.423697 | − | 0.905804i | \(-0.639268\pi\) |
0.818469 | + | 0.574551i | \(0.194823\pi\) | |||||||
\(578\) | −22.2099 | + | 15.8599i | −0.923812 | + | 0.659683i | ||||
\(579\) | 11.9782 | − | 1.21188i | 0.497796 | − | 0.0503642i | ||||
\(580\) | −42.7166 | − | 49.0353i | −1.77371 | − | 2.03608i | ||||
\(581\) | 0.992282 | − | 3.31445i | 0.0411668 | − | 0.137507i | ||||
\(582\) | 41.3843 | + | 3.88229i | 1.71543 | + | 0.160926i | ||||
\(583\) | −1.51833 | − | 12.9901i | −0.0628828 | − | 0.537996i | ||||
\(584\) | −8.87320 | + | 1.02519i | −0.367176 | + | 0.0424225i | ||||
\(585\) | 5.26156 | − | 4.66395i | 0.217539 | − | 0.192831i | ||||
\(586\) | −6.90142 | + | 7.90109i | −0.285095 | + | 0.326391i | ||||
\(587\) | 16.9530 | + | 0.987402i | 0.699727 | + | 0.0407545i | 0.404321 | − | 0.914617i | \(-0.367508\pi\) |
0.295406 | + | 0.955372i | \(0.404545\pi\) | |||||||
\(588\) | −14.6476 | + | 22.4159i | −0.604056 | + | 0.924417i | ||||
\(589\) | −5.06901 | + | 2.18656i | −0.208865 | + | 0.0900955i | ||||
\(590\) | 50.7066 | − | 31.9278i | 2.08756 | − | 1.31445i | ||||
\(591\) | −2.66979 | − | 0.354145i | −0.109820 | − | 0.0145676i | ||||
\(592\) | −4.37855 | − | 4.84231i | −0.179957 | − | 0.199018i | ||||
\(593\) | 19.2272 | + | 11.1008i | 0.789565 | + | 0.455856i | 0.839809 | − | 0.542881i | \(-0.182667\pi\) |
−0.0502444 | + | 0.998737i | \(0.516000\pi\) | |||||||
\(594\) | −0.0619307 | + | 7.52491i | −0.00254105 | + | 0.308751i | ||||
\(595\) | −38.6544 | − | 66.9514i | −1.58468 | − | 2.74474i | ||||
\(596\) | −20.4628 | + | 20.0342i | −0.838188 | + | 0.820635i | ||||
\(597\) | 9.61130 | − | 8.78983i | 0.393364 | − | 0.359744i | ||||
\(598\) | 0.157586 | + | 4.10794i | 0.00644417 | + | 0.167986i | ||||
\(599\) | −20.7051 | + | 27.8117i | −0.845987 | + | 1.13636i | 0.143200 | + | 0.989694i | \(0.454261\pi\) |
−0.989186 | + | 0.146663i | \(0.953147\pi\) | |||||||
\(600\) | −30.1176 | + | 3.00673i | −1.22955 | + | 0.122749i | ||||
\(601\) | −10.8630 | − | 7.14472i | −0.443112 | − | 0.291439i | 0.308280 | − | 0.951296i | \(-0.400247\pi\) |
−0.751392 | + | 0.659856i | \(0.770617\pi\) | |||||||
\(602\) | 4.24238 | − | 21.5510i | 0.172906 | − | 0.878351i | ||||
\(603\) | 6.47434 | − | 2.13129i | 0.263656 | − | 0.0867930i | ||||
\(604\) | −17.3203 | + | 2.35013i | −0.704754 | + | 0.0956254i | ||||
\(605\) | −19.8682 | − | 26.6876i | −0.807757 | − | 1.08501i | ||||
\(606\) | 5.26041 | − | 19.1510i | 0.213690 | − | 0.777955i | ||||
\(607\) | 19.5803 | − | 18.4730i | 0.794739 | − | 0.749798i | −0.177416 | − | 0.984136i | \(-0.556774\pi\) |
0.972155 | + | 0.234338i | \(0.0752923\pi\) | |||||||
\(608\) | −38.5003 | − | 15.8286i | −1.56139 | − | 0.641935i | ||||
\(609\) | −62.2147 | + | 17.5783i | −2.52107 | + | 0.712307i | ||||
\(610\) | 23.4413 | − | 2.26961i | 0.949111 | − | 0.0918939i | ||||
\(611\) | −0.508633 | + | 1.39746i | −0.0205771 | + | 0.0565351i | ||||
\(612\) | 35.0669 | + | 8.77690i | 1.41750 | + | 0.354785i | ||||
\(613\) | 12.3254 | + | 33.8638i | 0.497819 | + | 1.36775i | 0.893378 | + | 0.449306i | \(0.148329\pi\) |
−0.395559 | + | 0.918441i | \(0.629449\pi\) | |||||||
\(614\) | −4.92135 | − | 10.3038i | −0.198609 | − | 0.415829i | ||||
\(615\) | 37.8351 | − | 6.06734i | 1.52566 | − | 0.244659i | ||||
\(616\) | −8.50617 | − | 7.15679i | −0.342723 | − | 0.288355i | ||||
\(617\) | 7.26053 | + | 11.0391i | 0.292298 | + | 0.444418i | 0.951545 | − | 0.307509i | \(-0.0994953\pi\) |
−0.659247 | + | 0.751926i | \(0.729125\pi\) | |||||||
\(618\) | 41.4212 | − | 8.28234i | 1.66621 | − | 0.333165i | ||||
\(619\) | −7.49477 | − | 25.0343i | −0.301240 | − | 1.00621i | −0.965867 | − | 0.259038i | \(-0.916595\pi\) |
0.664627 | − | 0.747175i | \(-0.268591\pi\) | |||||||
\(620\) | 4.24146 | + | 2.67854i | 0.170341 | + | 0.107573i | ||||
\(621\) | −7.13419 | + | 20.3321i | −0.286285 | + | 0.815901i | ||||
\(622\) | −33.9532 | + | 18.7150i | −1.36140 | + | 0.750403i | ||||
\(623\) | −34.1762 | − | 8.09991i | −1.36924 | − | 0.324516i | ||||
\(624\) | −3.60339 | − | 3.25614i | −0.144251 | − | 0.130350i | ||||
\(625\) | −15.8353 | − | 7.95280i | −0.633413 | − | 0.318112i | ||||
\(626\) | −3.08174 | + | 22.4881i | −0.123171 | + | 0.898804i | ||||
\(627\) | 11.4034 | − | 6.34980i | 0.455408 | − | 0.253587i | ||||
\(628\) | −11.4305 | − | 25.2057i | −0.456126 | − | 1.00582i | ||||
\(629\) | 1.70748 | − | 9.68360i | 0.0680817 | − | 0.386111i | ||||
\(630\) | −18.2462 | + | 51.2921i | −0.726946 | + | 2.04353i | ||||
\(631\) | −5.27945 | + | 0.930910i | −0.210172 | + | 0.0370590i | −0.277743 | − | 0.960656i | \(-0.589586\pi\) |
0.0675709 | + | 0.997714i | \(0.478475\pi\) | |||||||
\(632\) | 11.1074 | − | 0.632135i | 0.441830 | − | 0.0251450i | ||||
\(633\) | 23.4384 | − | 11.3190i | 0.931592 | − | 0.449892i | ||||
\(634\) | 6.17711 | − | 5.60044i | 0.245324 | − | 0.222422i | ||||
\(635\) | −1.35553 | − | 5.71943i | −0.0537925 | − | 0.226968i | ||||
\(636\) | 24.4214 | + | 36.8907i | 0.968370 | + | 1.46281i | ||||
\(637\) | 4.97549 | + | 2.14622i | 0.197136 | + | 0.0850363i | ||||
\(638\) | −2.17017 | − | 13.9164i | −0.0859179 | − | 0.550955i | ||||
\(639\) | 21.7840 | + | 5.88278i | 0.861762 | + | 0.232719i | ||||
\(640\) | 7.89337 | + | 36.9935i | 0.312013 | + | 1.46229i | ||||
\(641\) | 8.92277 | + | 17.7667i | 0.352428 | + | 0.701742i | 0.998083 | − | 0.0618872i | \(-0.0197119\pi\) |
−0.645655 | + | 0.763629i | \(0.723416\pi\) | |||||||
\(642\) | −20.4774 | − | 18.4548i | −0.808180 | − | 0.728351i | ||||
\(643\) | −30.0356 | − | 3.51065i | −1.18449 | − | 0.138447i | −0.499046 | − | 0.866575i | \(-0.666316\pi\) |
−0.685440 | + | 0.728129i | \(0.740390\pi\) | |||||||
\(644\) | −16.4227 | − | 27.2668i | −0.647146 | − | 1.07446i | ||||
\(645\) | −0.999259 | − | 23.4132i | −0.0393458 | − | 0.921892i | ||||
\(646\) | −16.7873 | − | 60.4093i | −0.660486 | − | 2.37677i | ||||
\(647\) | 24.2988 | 0.955283 | 0.477642 | − | 0.878555i | \(-0.341492\pi\) | ||||
0.477642 | + | 0.878555i | \(0.341492\pi\) | |||||||
\(648\) | −11.3051 | − | 22.8078i | −0.444104 | − | 0.895975i | ||||
\(649\) | 12.9777 | 0.509418 | ||||||||
\(650\) | 1.63991 | + | 5.90126i | 0.0643228 | + | 0.231467i | ||||
\(651\) | 4.20860 | − | 2.67538i | 0.164948 | − | 0.104857i | ||||
\(652\) | −18.3106 | + | 11.0284i | −0.717097 | + | 0.431904i | ||||
\(653\) | 23.6867 | + | 2.76857i | 0.926930 | + | 0.108343i | 0.566144 | − | 0.824306i | \(-0.308434\pi\) |
0.360786 | + | 0.932649i | \(0.382509\pi\) | |||||||
\(654\) | 33.8393 | − | 10.9781i | 1.32322 | − | 0.429278i | ||||
\(655\) | −18.4342 | − | 36.7055i | −0.720283 | − | 1.43420i | ||||
\(656\) | −7.05283 | − | 25.5110i | −0.275367 | − | 0.996037i | ||||
\(657\) | −0.844210 | + | 9.43637i | −0.0329358 | + | 0.368148i | ||||
\(658\) | −1.77421 | − | 11.3772i | −0.0691658 | − | 0.443530i | ||||
\(659\) | −16.8215 | − | 7.25610i | −0.655274 | − | 0.282658i | 0.0423702 | − | 0.999102i | \(-0.486509\pi\) |
−0.697644 | + | 0.716444i | \(0.745768\pi\) | |||||||
\(660\) | −10.6146 | − | 5.29127i | −0.413174 | − | 0.205962i | ||||
\(661\) | 1.25206 | + | 5.28286i | 0.0486995 | + | 0.205479i | 0.991956 | − | 0.126587i | \(-0.0404023\pi\) |
−0.943256 | + | 0.332066i | \(0.892254\pi\) | |||||||
\(662\) | −16.5483 | + | 15.0034i | −0.643168 | + | 0.583125i | ||||
\(663\) | 0.538643 | − | 7.29517i | 0.0209191 | − | 0.283321i | ||||
\(664\) | −2.54562 | + | 0.144874i | −0.0987891 | + | 0.00562219i | ||||
\(665\) | 92.9910 | − | 16.3968i | 3.60604 | − | 0.635841i | ||||
\(666\) | −5.97128 | + | 3.50584i | −0.231382 | + | 0.135849i | ||||
\(667\) | 7.00316 | − | 39.7169i | 0.271163 | − | 1.53784i | ||||
\(668\) | −11.8294 | + | 5.36450i | −0.457694 | + | 0.207559i | ||||
\(669\) | −3.64803 | − | 2.18239i | −0.141041 | − | 0.0843760i | ||||
\(670\) | −1.45855 | + | 10.6434i | −0.0563488 | + | 0.411189i | ||||
\(671\) | 4.55810 | + | 2.28916i | 0.175963 | + | 0.0883721i | ||||
\(672\) | 36.6049 | + | 8.61154i | 1.41206 | + | 0.332198i | ||||
\(673\) | 30.0148 | + | 7.11365i | 1.15699 | + | 0.274211i | 0.763927 | − | 0.645302i | \(-0.223269\pi\) |
0.393059 | + | 0.919513i | \(0.371417\pi\) | |||||||
\(674\) | −9.25178 | + | 5.09957i | −0.356365 | + | 0.196428i | ||||
\(675\) | −3.35668 | + | 31.9274i | −0.129199 | + | 1.22889i | ||||
\(676\) | 13.3580 | − | 21.1524i | 0.513770 | − | 0.813554i | ||||
\(677\) | 4.19391 | + | 14.0086i | 0.161185 | + | 0.538395i | 0.999982 | − | 0.00604958i | \(-0.00192565\pi\) |
−0.838797 | + | 0.544445i | \(0.816740\pi\) | |||||||
\(678\) | −2.15866 | − | 2.45651i | −0.0829027 | − | 0.0943416i | ||||
\(679\) | 35.7880 | + | 54.4131i | 1.37342 | + | 2.08818i | ||||
\(680\) | −36.6798 | + | 43.5956i | −1.40661 | + | 1.67182i | ||||
\(681\) | 0.237138 | − | 0.621346i | 0.00908716 | − | 0.0238100i | ||||
\(682\) | 0.468247 | + | 0.980370i | 0.0179301 | + | 0.0375403i | ||||
\(683\) | 16.6447 | + | 45.7309i | 0.636891 | + | 1.74984i | 0.661277 | + | 0.750142i | \(0.270015\pi\) |
−0.0243854 | + | 0.999703i | \(0.507763\pi\) | |||||||
\(684\) | −24.7227 | + | 36.5815i | −0.945297 | + | 1.39873i | ||||
\(685\) | −23.4191 | + | 64.3436i | −0.894799 | + | 2.45844i | ||||
\(686\) | −3.94348 | + | 0.381812i | −0.150563 | + | 0.0145776i | ||||
\(687\) | −8.86949 | − | 8.63207i | −0.338392 | − | 0.329334i | ||||
\(688\) | −15.9970 | + | 2.47288i | −0.609880 | + | 0.0942776i | ||||
\(689\) | 6.51199 | − | 6.14374i | 0.248087 | − | 0.234058i | ||||
\(690\) | −23.8628 | − | 24.1640i | −0.908443 | − | 0.919907i | ||||
\(691\) | −21.4705 | − | 28.8399i | −0.816776 | − | 1.09712i | −0.993609 | − | 0.112879i | \(-0.963993\pi\) |
0.176833 | − | 0.984241i | \(-0.443415\pi\) | |||||||
\(692\) | 6.29918 | + | 46.4246i | 0.239459 | + | 1.76480i | ||||
\(693\) | −9.26315 | + | 7.29489i | −0.351878 | + | 0.277110i | ||||
\(694\) | −8.23695 | + | 41.8431i | −0.312670 | + | 1.58834i | ||||
\(695\) | 1.77582 | + | 1.16798i | 0.0673607 | + | 0.0443038i | ||||
\(696\) | 27.8034 | + | 38.6910i | 1.05389 | + | 1.46658i | ||||
\(697\) | 23.8062 | − | 31.9773i | 0.901726 | − | 1.21123i | ||||
\(698\) | 0.561182 | + | 14.6289i | 0.0212410 | + | 0.553711i | ||||
\(699\) | −1.67724 | − | 7.60078i | −0.0634391 | − | 0.287488i | ||||
\(700\) | −33.1772 | − | 33.8868i | −1.25398 | − | 1.28080i | ||||
\(701\) | −15.8230 | − | 27.4062i | −0.597626 | − | 1.03512i | −0.993171 | − | 0.116672i | \(-0.962777\pi\) |
0.395544 | − | 0.918447i | \(-0.370556\pi\) | |||||||
\(702\) | −4.15710 | + | 3.04200i | −0.156900 | + | 0.114813i | ||||
\(703\) | 10.4010 | + | 6.00504i | 0.392283 | + | 0.226484i | ||||
\(704\) | −2.82239 | + | 7.69083i | −0.106373 | + | 0.289859i | ||||
\(705\) | −4.69027 | − | 11.3548i | −0.176646 | − | 0.427645i | ||||
\(706\) | −31.6491 | + | 19.9281i | −1.19113 | + | 0.750004i | ||||
\(707\) | 28.5730 | − | 12.3252i | 1.07460 | − | 0.463536i | ||||
\(708\) | −39.1719 | + | 19.8194i | −1.47217 | + | 0.744858i | ||||
\(709\) | 38.3851 | + | 2.23568i | 1.44158 | + | 0.0839627i | 0.761021 | − | 0.648727i | \(-0.224698\pi\) |
0.680563 | + | 0.732690i | \(0.261735\pi\) | |||||||
\(710\) | −23.3956 | + | 26.7844i | −0.878021 | + | 1.00520i | ||||
\(711\) | 1.73311 | − | 11.6723i | 0.0649967 | − | 0.437745i | ||||
\(712\) | 2.97083 | + | 25.7132i | 0.111337 | + | 0.963642i | ||||
\(713\) | 0.361158 | + | 3.08990i | 0.0135255 | + | 0.115718i | ||||
\(714\) | 23.6144 | + | 51.4816i | 0.883747 | + | 1.92665i | ||||
\(715\) | −0.688344 | + | 2.29923i | −0.0257426 | + | 0.0859863i | ||||
\(716\) | 3.77121 | − | 3.28524i | 0.140937 | − | 0.122775i | ||||
\(717\) | 6.96382 | − | 15.4787i | 0.260069 | − | 0.578064i | ||||
\(718\) | −17.4554 | + | 12.4647i | −0.651430 | + | 0.465179i | ||||
\(719\) | 16.9599 | − | 14.2310i | 0.632496 | − | 0.530727i | −0.269207 | − | 0.963082i | \(-0.586762\pi\) |
0.901704 | + | 0.432355i | \(0.142317\pi\) | |||||||
\(720\) | 40.1200 | − | 0.239371i | 1.49519 | − | 0.00892082i | ||||
\(721\) | 50.7008 | + | 42.5430i | 1.88820 | + | 1.58438i | ||||
\(722\) | 49.5591 | + | 3.87411i | 1.84440 | + | 0.144179i | ||||
\(723\) | 21.8641 | − | 7.57564i | 0.813136 | − | 0.281741i | ||||
\(724\) | 13.9454 | − | 5.37001i | 0.518276 | − | 0.199575i | ||||
\(725\) | −3.49373 | − | 59.9850i | −0.129754 | − | 2.22779i | ||||
\(726\) | 12.6663 | + | 20.8264i | 0.470091 | + | 0.772940i | ||||
\(727\) | 6.17566 | + | 5.82643i | 0.229043 | + | 0.216090i | 0.792204 | − | 0.610256i | \(-0.208934\pi\) |
−0.563161 | + | 0.826347i | \(0.690415\pi\) | |||||||
\(728\) | 0.452545 | − | 7.59610i | 0.0167724 | − | 0.281530i | ||||
\(729\) | −26.1206 | + | 6.83469i | −0.967431 | + | 0.253137i | ||||
\(730\) | −12.7809 | − | 7.72100i | −0.473041 | − | 0.285767i | ||||
\(731\) | −17.7339 | − | 16.7311i | −0.655913 | − | 0.618822i | ||||
\(732\) | −17.2542 | + | 0.0514719i | −0.637733 | + | 0.00190246i | ||||
\(733\) | 38.1584 | − | 2.22247i | 1.40941 | − | 0.0820888i | 0.663521 | − | 0.748158i | \(-0.269061\pi\) |
0.745890 | + | 0.666069i | \(0.232024\pi\) | |||||||
\(734\) | 4.23479 | − | 5.45885i | 0.156309 | − | 0.201490i | ||||
\(735\) | −42.2966 | + | 14.6552i | −1.56013 | + | 0.540566i | ||||
\(736\) | −14.7675 | + | 18.2262i | −0.544338 | + | 0.671825i | ||||
\(737\) | −1.49556 | + | 1.78233i | −0.0550895 | + | 0.0656531i | ||||
\(738\) | −28.0134 | + | 1.83671i | −1.03119 | + | 0.0676103i | ||||
\(739\) | −0.576804 | + | 0.483996i | −0.0212181 | + | 0.0178041i | −0.653335 | − | 0.757069i | \(-0.726631\pi\) |
0.632117 | + | 0.774873i | \(0.282186\pi\) | |||||||
\(740\) | −0.836078 | − | 10.8814i | −0.0307348 | − | 0.400008i | ||||
\(741\) | 8.14800 | + | 3.66575i | 0.299324 | + | 0.134665i | ||||
\(742\) | −21.1943 | + | 66.0002i | −0.778068 | + | 2.42294i | ||||
\(743\) | 2.12999 | − | 7.11466i | 0.0781418 | − | 0.261012i | −0.909988 | − | 0.414635i | \(-0.863909\pi\) |
0.988129 | + | 0.153624i | \(0.0490943\pi\) | |||||||
\(744\) | −2.91057 | − | 2.24405i | −0.106707 | − | 0.0822709i | ||||
\(745\) | −47.5492 | + | 5.55771i | −1.74207 | + | 0.203619i | ||||
\(746\) | 5.07872 | + | 1.96343i | 0.185945 | + | 0.0718862i | ||||
\(747\) | −0.397197 | + | 2.67508i | −0.0145327 | + | 0.0978760i | ||||
\(748\) | −11.7534 | + | 3.75710i | −0.429746 | + | 0.137373i | ||||
\(749\) | 2.51140 | − | 43.1190i | 0.0917644 | − | 1.57553i | ||||
\(750\) | −8.18113 | − | 5.11729i | −0.298733 | − | 0.186857i | ||||
\(751\) | −37.7411 | + | 16.2799i | −1.37719 | + | 0.594063i | −0.950610 | − | 0.310387i | \(-0.899542\pi\) |
−0.426581 | + | 0.904449i | \(0.640282\pi\) | |||||||
\(752\) | −7.43715 | + | 4.08649i | −0.271205 | + | 0.149019i | ||||
\(753\) | 26.8704 | − | 11.0993i | 0.979212 | − | 0.404480i | ||||
\(754\) | 6.75411 | − | 6.88028i | 0.245970 | − | 0.250565i | ||||
\(755\) | −25.3050 | − | 14.6098i | −0.920942 | − | 0.531706i | ||||
\(756\) | 16.8192 | − | 36.1656i | 0.611709 | − | 1.31533i | ||||
\(757\) | 19.4870 | − | 11.2508i | 0.708267 | − | 0.408918i | −0.102152 | − | 0.994769i | \(-0.532573\pi\) |
0.810419 | + | 0.585851i | \(0.199239\pi\) | |||||||
\(758\) | 4.24370 | − | 16.4449i | 0.154138 | − | 0.597307i | ||||
\(759\) | −1.58492 | − | 7.18240i | −0.0575289 | − | 0.260704i | ||||
\(760\) | −34.7139 | − | 60.3111i | −1.25921 | − | 2.18771i | ||||
\(761\) | −0.293473 | − | 0.218483i | −0.0106384 | − | 0.00791999i | 0.591826 | − | 0.806066i | \(-0.298407\pi\) |
−0.602465 | + | 0.798146i | \(0.705815\pi\) | |||||||
\(762\) | 0.597395 | + | 4.26469i | 0.0216413 | + | 0.154494i | ||||
\(763\) | 46.5711 | + | 30.6303i | 1.68599 | + | 1.10889i | ||||
\(764\) | −3.92421 | − | 3.56737i | −0.141973 | − | 0.129063i | ||||
\(765\) | 37.3876 | + | 47.4753i | 1.35175 | + | 1.71647i | ||||
\(766\) | −23.5160 | − | 29.1817i | −0.849668 | − | 1.05438i | ||||
\(767\) | 5.30496 | + | 7.12580i | 0.191551 | + | 0.257298i | ||||
\(768\) | −3.22627 | − | 27.5244i | −0.116418 | − | 0.993200i | ||||
\(769\) | −31.6983 | − | 33.5983i | −1.14307 | − | 1.21158i | −0.974137 | − | 0.225957i | \(-0.927449\pi\) |
−0.168933 | − | 0.985627i | \(-0.554032\pi\) | |||||||
\(770\) | −3.92611 | − | 18.1638i | −0.141487 | − | 0.654578i | ||||
\(771\) | −5.07663 | − | 4.94074i | −0.182831 | − | 0.177937i | ||||
\(772\) | 6.00815 | − | 12.5365i | 0.216238 | − | 0.451197i | ||||
\(773\) | 51.4250 | + | 18.7172i | 1.84963 | + | 0.673209i | 0.985436 | + | 0.170046i | \(0.0543918\pi\) |
0.864192 | + | 0.503163i | \(0.167830\pi\) | |||||||
\(774\) | −0.873237 | + | 17.1467i | −0.0313878 | + | 0.616325i | ||||
\(775\) | 1.58525 | + | 4.35543i | 0.0569437 | + | 0.156452i | ||||
\(776\) | 28.7125 | − | 38.4608i | 1.03072 | − | 1.38066i | ||||
\(777\) | −10.1363 | − | 3.86853i | −0.363637 | − | 0.138783i | ||||
\(778\) | −0.662144 | + | 0.270174i | −0.0237390 | + | 0.00968619i | ||||
\(779\) | 26.7569 | + | 40.6820i | 0.958667 | + | 1.45758i | ||||
\(780\) | −1.43366 | − | 7.99124i | −0.0513334 | − | 0.286132i | ||||
\(781\) | −7.37872 | + | 2.20904i | −0.264031 | + | 0.0790458i | ||||
\(782\) | −35.3252 | − | 0.700773i | −1.26323 | − | 0.0250596i | ||||
\(783\) | 46.1666 | − | 20.5530i | 1.64986 | − | 0.734504i | ||||
\(784\) | 13.2890 | + | 27.9184i | 0.474605 | + | 0.997085i | ||||
\(785\) | 10.6698 | − | 45.0194i | 0.380821 | − | 1.60681i | ||||
\(786\) | 10.9348 | + | 28.0356i | 0.390031 | + | 0.999997i | ||||
\(787\) | −2.58698 | − | 1.29923i | −0.0922158 | − | 0.0463125i | 0.402094 | − | 0.915599i | \(-0.368283\pi\) |
−0.494309 | + | 0.869286i | \(0.664579\pi\) | |||||||
\(788\) | −1.95452 | + | 2.41884i | −0.0696268 | + | 0.0861675i | ||||
\(789\) | −3.75478 | + | 6.27640i | −0.133674 | + | 0.223446i | ||||
\(790\) | 15.3329 | + | 10.5261i | 0.545520 | + | 0.374502i | ||||
\(791\) | 0.889754 | − | 5.04605i | 0.0316360 | − | 0.179417i | ||||
\(792\) | 7.38058 | + | 4.58597i | 0.262257 | + | 0.162955i | ||||
\(793\) | 0.606304 | + | 3.43852i | 0.0215305 | + | 0.122105i | ||||
\(794\) | 11.2822 | − | 24.7912i | 0.400391 | − | 0.879806i | ||||
\(795\) | −5.44596 | + | 73.7580i | −0.193148 | + | 2.61593i | ||||
\(796\) | −2.88522 | − | 14.7601i | −0.102264 | − | 0.523157i | ||||
\(797\) | 33.4185 | − | 7.92033i | 1.18374 | − | 0.280553i | 0.408825 | − | 0.912613i | \(-0.365939\pi\) |
0.774919 | + | 0.632060i | \(0.217791\pi\) | |||||||
\(798\) | −68.9527 | + | 5.59714i | −2.44090 | + | 0.198136i | ||||
\(799\) | −11.7361 | − | 5.06246i | −0.415193 | − | 0.179097i | ||||
\(800\) | −15.1466 | + | 31.4970i | −0.535512 | + | 1.11359i | ||||
\(801\) | 27.3452 | + | 2.44639i | 0.966194 | + | 0.0864390i | ||||
\(802\) | 25.8656 | − | 8.83739i | 0.913347 | − | 0.312059i | ||||
\(803\) | −1.45140 | − | 2.88997i | −0.0512186 | − | 0.101985i | ||||
\(804\) | 1.79223 | − | 7.66381i | 0.0632069 | − | 0.270282i | ||||
\(805\) | 6.17743 | − | 52.8513i | 0.217726 | − | 1.86276i | ||||
\(806\) | −0.346895 | + | 0.657857i | −0.0122188 | + | 0.0231720i | ||||
\(807\) | 4.70299 | − | 2.98966i | 0.165553 | − | 0.105241i | ||||
\(808\) | −15.7152 | − | 16.7015i | −0.552859 | − | 0.587557i | ||||
\(809\) | − | 5.47530i | − | 0.192501i | −0.995357 | − | 0.0962506i | \(-0.969315\pi\) | ||
0.995357 | − | 0.0962506i | \(-0.0306850\pi\) | |||||||
\(810\) | 8.38281 | − | 41.7206i | 0.294542 | − | 1.46591i | ||||
\(811\) | 14.7626 | 0.518386 | 0.259193 | − | 0.965826i | \(-0.416543\pi\) | ||||
0.259193 | + | 0.965826i | \(0.416543\pi\) | |||||||
\(812\) | −20.0832 | + | 71.8996i | −0.704783 | + | 2.52318i | ||||
\(813\) | −21.9235 | + | 0.935683i | −0.768892 | + | 0.0328158i | ||||
\(814\) | 1.10248 | − | 2.09076i | 0.0386418 | − | 0.0732811i | ||||
\(815\) | −35.4913 | − | 4.14834i | −1.24321 | − | 0.145310i | ||||
\(816\) | 29.7387 | − | 29.2901i | 1.04106 | − | 1.02536i | ||||
\(817\) | 26.6114 | − | 13.3647i | 0.931013 | − | 0.467572i | ||||
\(818\) | 6.20070 | + | 18.1485i | 0.216803 | + | 0.634546i | ||||
\(819\) | −7.79204 | − | 2.10424i | −0.272276 | − | 0.0735283i | ||||
\(820\) | 16.7702 | − | 40.9451i | 0.585642 | − | 1.42987i | ||||
\(821\) | −16.9506 | + | 39.2958i | −0.591579 | + | 1.37143i | 0.314877 | + | 0.949133i | \(0.398037\pi\) |
−0.906455 | + | 0.422301i | \(0.861222\pi\) | |||||||
\(822\) | 21.4856 | − | 45.3318i | 0.749397 | − | 1.58113i | ||||
\(823\) | 7.15050 | + | 30.1703i | 0.249251 | + | 1.05167i | 0.943352 | + | 0.331794i | \(0.107654\pi\) |
−0.694101 | + | 0.719878i | \(0.744198\pi\) | |||||||
\(824\) | 16.7432 | − | 45.8122i | 0.583277 | − | 1.59594i | ||||
\(825\) | −4.76552 | − | 9.86797i | −0.165914 | − | 0.343559i | ||||
\(826\) | −62.6066 | − | 28.4916i | −2.17836 | − | 0.991351i | ||||
\(827\) | −23.6512 | + | 4.17035i | −0.822434 | + | 0.145017i | −0.569002 | − | 0.822336i | \(-0.692670\pi\) |
−0.253432 | + | 0.967353i | \(0.581559\pi\) | |||||||
\(828\) | 15.7528 | + | 19.2589i | 0.547449 | + | 0.669293i | ||||
\(829\) | 36.2057 | + | 6.38404i | 1.25748 | + | 0.221727i | 0.762390 | − | 0.647118i | \(-0.224026\pi\) |
0.495085 | + | 0.868844i | \(0.335137\pi\) | |||||||
\(830\) | −3.51402 | − | 2.41239i | −0.121973 | − | 0.0837354i | ||||
\(831\) | −36.7355 | + | 20.4556i | −1.27434 | + | 0.709596i | ||||
\(832\) | −5.37662 | + | 1.59411i | −0.186401 | + | 0.0552657i | ||||
\(833\) | −20.9011 | + | 41.6175i | −0.724180 | + | 1.44196i | ||||
\(834\) | −1.21542 | − | 0.973477i | −0.0420865 | − | 0.0337087i | ||||
\(835\) | −21.1283 | − | 5.00751i | −0.731176 | − | 0.173292i | ||||
\(836\) | 0.597726 | − | 15.0594i | 0.0206728 | − | 0.520841i | ||||
\(837\) | −2.95688 | + | 2.54017i | −0.102205 | + | 0.0878011i | ||||
\(838\) | 6.71975 | + | 0.133305i | 0.232130 | + | 0.00460494i | ||||
\(839\) | 8.62352 | + | 28.8046i | 0.297717 | + | 0.994444i | 0.967708 | + | 0.252075i | \(0.0811129\pi\) |
−0.669991 | + | 0.742369i | \(0.733702\pi\) | |||||||
\(840\) | 39.5902 | + | 48.8298i | 1.36599 | + | 1.68479i | ||||
\(841\) | −54.7949 | + | 36.0392i | −1.88948 | + | 1.24273i | ||||
\(842\) | −0.286912 | − | 0.703167i | −0.00988764 | − | 0.0242327i | ||||
\(843\) | −39.3985 | + | 6.31805i | −1.35696 | + | 0.217605i | ||||
\(844\) | 2.93613 | − | 29.9113i | 0.101066 | − | 1.02959i | ||||
\(845\) | 39.2991 | − | 14.3037i | 1.35193 | − | 0.492062i | ||||
\(846\) | 2.64424 | + | 8.60348i | 0.0909110 | + | 0.295794i | ||||
\(847\) | −13.0627 | + | 35.8895i | −0.448840 | + | 1.23318i | ||||
\(848\) | 51.0509 | − | 1.89049i | 1.75310 | − | 0.0649197i | ||||
\(849\) | 11.6577 | + | 41.2601i | 0.400091 | + | 1.41604i | ||||
\(850\) | −51.4527 | + | 11.1215i | −1.76481 | + | 0.381465i | ||||
\(851\) | 4.92285 | − | 4.64447i | 0.168753 | − | 0.159210i | ||||
\(852\) | 18.8983 | − | 17.9365i | 0.647446 | − | 0.614495i | ||||
\(853\) | −14.0604 | + | 10.4676i | −0.481420 | + | 0.358404i | −0.810346 | − | 0.585952i | \(-0.800721\pi\) |
0.328926 | + | 0.944356i | \(0.393313\pi\) | |||||||
\(854\) | −16.9634 | − | 21.0503i | −0.580475 | − | 0.720328i | ||||
\(855\) | −70.1081 | + | 23.0790i | −2.39765 | + | 0.789283i | ||||
\(856\) | −30.5057 | + | 9.08869i | −1.04266 | + | 0.310645i | ||||
\(857\) | 15.1592 | − | 23.0485i | 0.517830 | − | 0.787322i | −0.478019 | − | 0.878350i | \(-0.658645\pi\) |
0.995848 | + | 0.0910278i | \(0.0290152\pi\) | |||||||
\(858\) | 0.659434 | − | 1.63003i | 0.0225127 | − | 0.0556483i | ||||
\(859\) | 31.3470 | − | 42.1063i | 1.06954 | − | 1.43665i | 0.177823 | − | 0.984062i | \(-0.443095\pi\) |
0.891721 | − | 0.452585i | \(-0.149498\pi\) | |||||||
\(860\) | −23.6808 | − | 13.0939i | −0.807510 | − | 0.446498i | ||||
\(861\) | −29.6852 | − | 32.4595i | −1.01167 | − | 1.10622i | ||||
\(862\) | −7.90516 | + | 30.6336i | −0.269251 | + | 1.04338i | ||||
\(863\) | −15.0451 | − | 26.0588i | −0.512139 | − | 0.887052i | −0.999901 | − | 0.0140746i | \(-0.995520\pi\) |
0.487761 | − | 0.872977i | \(-0.337814\pi\) | |||||||
\(864\) | −29.2812 | − | 2.57075i | −0.996168 | − | 0.0874588i | ||||
\(865\) | −39.1595 | + | 67.8263i | −1.33146 | + | 2.30616i | ||||
\(866\) | 23.8472 | + | 23.4099i | 0.810361 | + | 0.795500i | ||||
\(867\) | 33.1347 | + | 4.39529i | 1.12531 | + | 0.149272i | ||||
\(868\) | −0.106568 | − | 5.75749i | −0.00361714 | − | 0.195422i | ||||
\(869\) | 1.59541 | + | 3.69857i | 0.0541206 | + | 0.125466i | ||||
\(870\) | −2.81570 | + | 79.5979i | −0.0954611 | + | 2.69862i | ||||
\(871\) | −1.58999 | − | 0.0926066i | −0.0538749 | − | 0.00313785i | ||||
\(872\) | 9.52655 | − | 39.9591i | 0.322610 | − | 1.35319i | ||||
\(873\) | −33.7687 | − | 38.0956i | −1.14290 | − | 1.28934i | ||||
\(874\) | 15.5613 | − | 40.2516i | 0.526367 | − | 1.36153i | ||||
\(875\) | −1.75528 | − | 15.0174i | −0.0593393 | − | 0.507680i | ||||
\(876\) | 8.79443 | + | 6.50653i | 0.297136 | + | 0.219835i | ||||
\(877\) | −34.8216 | − | 10.4249i | −1.17584 | − | 0.352024i | −0.361479 | − | 0.932380i | \(-0.617728\pi\) |
−0.814363 | + | 0.580357i | \(0.802913\pi\) | |||||||
\(878\) | 2.68965 | − | 8.37569i | 0.0907712 | − | 0.282666i | ||||
\(879\) | 12.7833 | − | 1.29334i | 0.431170 | − | 0.0436233i | ||||
\(880\) | −11.5988 | + | 7.28179i | −0.390996 | + | 0.245469i | ||||
\(881\) | −20.0763 | − | 23.9260i | −0.676386 | − | 0.806086i | 0.313252 | − | 0.949670i | \(-0.398582\pi\) |
−0.989638 | + | 0.143584i | \(0.954137\pi\) | |||||||
\(882\) | 31.8554 | − | 7.79570i | 1.07263 | − | 0.262495i | ||||
\(883\) | 24.5222 | + | 20.5765i | 0.825237 | + | 0.692456i | 0.954192 | − | 0.299194i | \(-0.0967179\pi\) |
−0.128955 | + | 0.991650i | \(0.541162\pi\) | |||||||
\(884\) | −6.86745 | − | 4.91775i | −0.230977 | − | 0.165402i | ||||
\(885\) | −72.0667 | − | 13.8641i | −2.42249 | − | 0.466037i | ||||
\(886\) | −20.6684 | + | 26.6425i | −0.694367 | + | 0.895072i | ||||
\(887\) | 0.851849 | + | 14.6257i | 0.0286023 | + | 0.491082i | 0.981942 | + | 0.189182i | \(0.0605837\pi\) |
−0.953340 | + | 0.301900i | \(0.902379\pi\) | |||||||
\(888\) | −0.134736 | + | 7.99445i | −0.00452143 | + | 0.268276i | ||||
\(889\) | −4.63030 | + | 4.90784i | −0.155295 | + | 0.164604i | ||||
\(890\) | −22.3743 | + | 37.0370i | −0.749988 | + | 1.24148i | ||||
\(891\) | 6.35090 | − | 6.67893i | 0.212763 | − | 0.223753i | ||||
\(892\) | −4.34499 | + | 2.28379i | −0.145481 | + | 0.0764668i | ||||
\(893\) | 10.7131 | − | 11.3553i | 0.358501 | − | 0.379989i | ||||
\(894\) | 35.0643 | − | 0.800247i | 1.17273 | − | 0.0267643i | ||||
\(895\) | 8.34682 | − | 0.486147i | 0.279003 | − | 0.0162501i | ||||
\(896\) | 30.5004 | − | 30.9056i | 1.01895 | − | 1.03248i | ||||
\(897\) | 3.29584 | − | 3.80624i | 0.110045 | − | 0.127087i | ||||
\(898\) | 3.24645 | − | 41.5299i | 0.108335 | − | 1.38587i | ||||
\(899\) | 4.68980 | − | 5.58908i | 0.156413 | − | 0.186406i | ||||
\(900\) | 29.4546 | + | 22.5077i | 0.981819 | + | 0.750255i | ||||
\(901\) | 49.4595 | + | 58.9435i | 1.64773 | + | 1.96369i | ||||
\(902\) | 7.79861 | − | 5.56890i | 0.259665 | − | 0.185424i | ||||
\(903\) | −21.8247 | + | 15.7272i | −0.726279 | + | 0.523370i | ||||
\(904\) | −3.71961 | + | 0.650775i | −0.123712 | + | 0.0216445i | ||||
\(905\) | 23.9317 | + | 7.16468i | 0.795516 | + | 0.238162i | ||||
\(906\) | 17.4585 | + | 12.3885i | 0.580021 | + | 0.411580i | ||||
\(907\) | 44.6277 | − | 5.21624i | 1.48184 | − | 0.173202i | 0.663604 | − | 0.748084i | \(-0.269026\pi\) |
0.818236 | + | 0.574882i | \(0.194952\pi\) | |||||||
\(908\) | −0.469907 | − | 0.607395i | −0.0155944 | − | 0.0201571i | ||||
\(909\) | −20.7274 | + | 12.7288i | −0.687483 | + | 0.422189i | ||||
\(910\) | 8.36851 | − | 9.58068i | 0.277413 | − | 0.317597i | ||||
\(911\) | 2.81869 | − | 48.3950i | 0.0933872 | − | 1.60340i | −0.548200 | − | 0.836347i | \(-0.684687\pi\) |
0.641588 | − | 0.767050i | \(-0.278276\pi\) | |||||||
\(912\) | 21.1945 | + | 46.3683i | 0.701819 | + | 1.53541i | ||||
\(913\) | −0.365639 | − | 0.847645i | −0.0121009 | − | 0.0280530i | ||||
\(914\) | −4.01807 | − | 6.38136i | −0.132906 | − | 0.211077i | ||||
\(915\) | −22.8662 | − | 17.5815i | −0.755933 | − | 0.581225i | ||||
\(916\) | −13.8427 | + | 3.55258i | −0.457375 | + | 0.117381i | ||||
\(917\) | −23.5752 | + | 40.8334i | −0.778521 | + | 1.34844i | ||||
\(918\) | −24.0231 | − | 37.1884i | −0.792880 | − | 1.22740i | ||||
\(919\) | 26.0410 | − | 15.0348i | 0.859012 | − | 0.495951i | −0.00466900 | − | 0.999989i | \(-0.501486\pi\) |
0.863681 | + | 0.504038i | \(0.168153\pi\) | |||||||
\(920\) | −38.1695 | + | 8.99281i | −1.25841 | + | 0.296484i | ||||
\(921\) | −4.21847 | + | 13.3337i | −0.139003 | + | 0.439361i | ||||
\(922\) | 18.5496 | − | 0.711585i | 0.610898 | − | 0.0234348i | ||||
\(923\) | −4.22919 | − | 3.14852i | −0.139205 | − | 0.103635i | ||||
\(924\) | 1.62091 | + | 13.5179i | 0.0533241 | + | 0.444707i | ||||
\(925\) | 5.54100 | − | 8.42468i | 0.182187 | − | 0.277002i | ||||
\(926\) | −1.07489 | + | 5.46036i | −0.0353231 | + | 0.179439i | ||||
\(927\) | −43.9789 | − | 27.2457i | −1.44446 | − | 0.894866i | ||||
\(928\) | 54.8593 | − | 4.14188i | 1.80085 | − | 0.135964i | ||||
\(929\) | −11.7780 | + | 8.76836i | −0.386422 | + | 0.287681i | −0.772787 | − | 0.634665i | \(-0.781138\pi\) |
0.386365 | + | 0.922346i | \(0.373731\pi\) | |||||||
\(930\) | −1.55290 | − | 5.94435i | −0.0509216 | − | 0.194923i | ||||
\(931\) | −39.0350 | − | 41.3747i | −1.27932 | − | 1.35600i | ||||
\(932\) | −8.50118 | − | 2.91717i | −0.278465 | − | 0.0955552i | ||||
\(933\) | 46.0273 | + | 11.6662i | 1.50686 | + | 0.381933i | ||||
\(934\) | 56.2911 | − | 5.45016i | 1.84190 | − | 0.178335i | ||||
\(935\) | −19.3835 | − | 7.05503i | −0.633910 | − | 0.230724i | ||||
\(936\) | 0.498932 | + | 5.92718i | 0.0163081 | + | 0.193736i | ||||
\(937\) | −33.8414 | + | 12.3173i | −1.10555 | + | 0.402387i | −0.829359 | − | 0.558716i | \(-0.811294\pi\) |
−0.276190 | + | 0.961103i | \(0.589072\pi\) | |||||||
\(938\) | 11.1278 | − | 5.31490i | 0.363337 | − | 0.173538i | ||||
\(939\) | 21.5705 | − | 17.5365i | 0.703927 | − | 0.572281i | ||||
\(940\) | −14.0135 | − | 2.20439i | −0.457071 | − | 0.0718993i | ||||
\(941\) | −23.8689 | + | 15.6988i | −0.778104 | + | 0.511767i | −0.875348 | − | 0.483494i | \(-0.839368\pi\) |
0.0972442 | + | 0.995261i | \(0.468997\pi\) | |||||||
\(942\) | −10.8635 | + | 32.1085i | −0.353952 | + | 1.04615i | ||||
\(943\) | 26.2867 | − | 7.86971i | 0.856011 | − | 0.256273i | ||||
\(944\) | −4.01771 | + | 50.5323i | −0.130765 | + | 1.64469i | ||||
\(945\) | 59.2327 | − | 30.6136i | 1.92684 | − | 0.995862i | ||||
\(946\) | −2.82905 | − | 5.13253i | −0.0919803 | − | 0.166873i | ||||
\(947\) | 3.53101 | − | 14.8985i | 0.114743 | − | 0.484137i | −0.885083 | − | 0.465434i | \(-0.845898\pi\) |
0.999825 | − | 0.0187028i | \(-0.00595364\pi\) | |||||||
\(948\) | −10.4640 | − | 8.72730i | −0.339856 | − | 0.283450i | ||||
\(949\) | 0.993531 | − | 1.97828i | 0.0322514 | − | 0.0642178i | ||||
\(950\) | 8.72947 | − | 63.7007i | 0.283221 | − | 2.06672i | ||||
\(951\) | −10.2106 | − | 0.158524i | −0.331103 | − | 0.00514050i | ||||
\(952\) | 64.9489 | + | 7.67888i | 2.10501 | + | 0.248874i | ||||
\(953\) | −21.3471 | − | 3.76407i | −0.691500 | − | 0.121930i | −0.183156 | − | 0.983084i | \(-0.558631\pi\) |
−0.508344 | + | 0.861154i | \(0.669742\pi\) | |||||||
\(954\) | 9.01961 | − | 53.4288i | 0.292021 | − | 1.72982i | ||||
\(955\) | −1.53950 | − | 8.73092i | −0.0498169 | − | 0.282526i | ||||
\(956\) | −11.0709 | − | 16.1725i | −0.358059 | − | 0.523056i | ||||
\(957\) | −9.70162 | + | 14.2633i | −0.313609 | + | 0.461067i | ||||
\(958\) | 0.278347 | − | 0.252362i | 0.00899300 | − | 0.00815346i | ||||
\(959\) | 76.4830 | − | 18.1268i | 2.46977 | − | 0.585345i | ||||
\(960\) | 23.8892 | − | 39.6930i | 0.771022 | − | 1.28109i | ||||
\(961\) | 12.0556 | − | 27.9479i | 0.388889 | − | 0.901546i | ||||
\(962\) | 1.59866 | − | 0.249302i | 0.0515430 | − | 0.00803781i | ||||
\(963\) | 2.87662 | + | 33.6390i | 0.0926978 | + | 1.08400i | ||||
\(964\) | 5.67964 | − | 26.1084i | 0.182929 | − | 0.840895i | ||||
\(965\) | 20.7677 | − | 10.4299i | 0.668536 | − | 0.335751i | ||||
\(966\) | −8.12256 | + | 38.1288i | −0.261339 | + | 1.22677i | ||||
\(967\) | 2.07240 | − | 17.7305i | 0.0666438 | − | 0.570174i | −0.918123 | − | 0.396295i | \(-0.870296\pi\) |
0.984767 | − | 0.173879i | \(-0.0556301\pi\) | |||||||
\(968\) | 28.1466 | + | 0.0373763i | 0.904666 | + | 0.00120132i | ||||
\(969\) | −35.5242 | + | 68.0785i | −1.14120 | + | 2.18699i | ||||
\(970\) | 77.3058 | − | 21.4827i | 2.48214 | − | 0.689767i | ||||
\(971\) | 28.9390i | 0.928698i | 0.885652 | + | 0.464349i | \(0.153712\pi\) | ||||
−0.885652 | + | 0.464349i | \(0.846288\pi\) | |||||||
\(972\) | −8.96958 | + | 29.8588i | −0.287700 | + | 0.957721i | ||||
\(973\) | − | 2.43990i | − | 0.0782196i | ||||||
\(974\) | −0.200310 | − | 0.720820i | −0.00641835 | − | 0.0230966i | ||||
\(975\) | 3.47029 | − | 6.65045i | 0.111138 | − | 0.212985i | ||||
\(976\) | −10.3246 | + | 17.0396i | −0.330484 | + | 0.545424i | ||||
\(977\) | 2.45028 | − | 20.9635i | 0.0783914 | − | 0.670681i | −0.895721 | − | 0.444617i | \(-0.853340\pi\) |
0.974112 | − | 0.226065i | \(-0.0725860\pi\) | |||||||
\(978\) | 25.6047 | + | 5.45456i | 0.818747 | + | 0.174418i | ||||
\(979\) | −8.37468 | + | 4.20592i | −0.267656 | + | 0.134422i | ||||
\(980\) | −10.9874 | + | 50.5072i | −0.350979 | + | 1.61339i | ||||
\(981\) | −39.4525 | − | 18.4912i | −1.25962 | − | 0.590379i | ||||
\(982\) | −5.61531 | − | 36.0086i | −0.179192 | − | 1.14908i | ||||
\(983\) | −4.00957 | + | 9.29524i | −0.127886 | + | 0.296472i | −0.970114 | − | 0.242648i | \(-0.921984\pi\) |
0.842229 | + | 0.539120i | \(0.181243\pi\) | |||||||
\(984\) | −15.0346 | + | 28.7192i | −0.479285 | + | 0.915534i | ||||
\(985\) | −5.05853 | + | 1.19889i | −0.161178 | + | 0.0381999i | ||||
\(986\) | 55.6580 | + | 61.3890i | 1.77251 | + | 1.95502i | ||||
\(987\) | −7.93148 | + | 11.6608i | −0.252462 | + | 0.371169i | ||||
\(988\) | 8.51319 | − | 5.82773i | 0.270841 | − | 0.185405i | ||||
\(989\) | −2.91401 | − | 16.5262i | −0.0926601 | − | 0.525502i | ||||
\(990\) | 5.06758 | + | 13.6133i | 0.161058 | + | 0.432658i | ||||
\(991\) | −0.763275 | − | 0.134586i | −0.0242462 | − | 0.00427526i | 0.161512 | − | 0.986871i | \(-0.448363\pi\) |
−0.185758 | + | 0.982596i | \(0.559474\pi\) | |||||||
\(992\) | −3.96232 | + | 1.51975i | −0.125804 | + | 0.0482520i | ||||
\(993\) | 27.3540 | + | 0.424681i | 0.868054 | + | 0.0134769i | ||||
\(994\) | 40.4461 | + | 5.54269i | 1.28287 | + | 0.175803i | ||||
\(995\) | 11.2834 | − | 22.4671i | 0.357709 | − | 0.712256i | ||||
\(996\) | 2.39816 | + | 2.00014i | 0.0759887 | + | 0.0633768i | ||||
\(997\) | 0.351563 | − | 1.48336i | 0.0111341 | − | 0.0469785i | −0.967194 | − | 0.254038i | \(-0.918241\pi\) |
0.978328 | + | 0.207059i | \(0.0663893\pi\) | |||||||
\(998\) | −31.8226 | + | 17.5406i | −1.00733 | + | 0.555238i | ||||
\(999\) | 8.27415 | + | 1.85987i | 0.261782 | + | 0.0588435i |
(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 | 648.2.bb.b.11.9 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.11.59 | yes | 1872 | |
81.59 | odd | 54 | inner | 648.2.bb.b.59.59 | yes | 1872 | |
648.59 | even | 54 | inner | 648.2.bb.b.59.9 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.11.9 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.11.59 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.59.9 | yes | 1872 | 648.59 | even | 54 | inner | |
648.2.bb.b.59.59 | yes | 1872 | 81.59 | odd | 54 | inner |