Properties

Label 273.2.cd.e.242.3
Level $273$
Weight $2$
Character 273.242
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 242.3
Character \(\chi\) \(=\) 273.242
Dual form 273.2.cd.e.44.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.41247 - 0.646418i) q^{2} +(0.872737 + 1.49611i) q^{3} +(3.67009 + 2.11892i) q^{4} +(-1.51647 - 0.406338i) q^{5} +(-1.13834 - 4.17346i) q^{6} +(-1.79039 + 1.94795i) q^{7} +(-3.95215 - 3.95215i) q^{8} +(-1.47666 + 2.61141i) q^{9} +O(q^{10})\) \(q+(-2.41247 - 0.646418i) q^{2} +(0.872737 + 1.49611i) q^{3} +(3.67009 + 2.11892i) q^{4} +(-1.51647 - 0.406338i) q^{5} +(-1.13834 - 4.17346i) q^{6} +(-1.79039 + 1.94795i) q^{7} +(-3.95215 - 3.95215i) q^{8} +(-1.47666 + 2.61141i) q^{9} +(3.39578 + 1.96055i) q^{10} +(-1.16460 + 0.312052i) q^{11} +(0.0328833 + 7.34010i) q^{12} +(-1.67805 - 3.19126i) q^{13} +(5.57845 - 3.54202i) q^{14} +(-0.715558 - 2.62343i) q^{15} +(2.74184 + 4.74900i) q^{16} +(-0.0180259 + 0.0312218i) q^{17} +(5.25046 - 5.34540i) q^{18} +(0.354340 - 1.32242i) q^{19} +(-4.70459 - 4.70459i) q^{20} +(-4.47687 - 0.978568i) q^{21} +3.01126 q^{22} +(-2.87493 - 4.97952i) q^{23} +(2.46365 - 9.36202i) q^{24} +(-2.19554 - 1.26760i) q^{25} +(1.98535 + 8.78353i) q^{26} +(-5.19568 + 0.0698330i) q^{27} +(-10.6984 + 3.35543i) q^{28} +10.4846i q^{29} +(0.0304256 + 6.79149i) q^{30} +(-1.26381 + 0.338636i) q^{31} +(-0.651571 - 2.43170i) q^{32} +(-1.48325 - 1.47002i) q^{33} +(0.0636693 - 0.0636693i) q^{34} +(3.50661 - 2.22651i) q^{35} +(-10.9529 + 6.45517i) q^{36} +(-9.47419 - 2.53860i) q^{37} +(-1.70967 + 2.96123i) q^{38} +(3.30997 - 5.29567i) q^{39} +(4.38743 + 7.59925i) q^{40} +(-2.92653 + 2.92653i) q^{41} +(10.1677 + 5.25470i) q^{42} +4.27650i q^{43} +(-4.93538 - 1.32243i) q^{44} +(3.30044 - 3.36012i) q^{45} +(3.71681 + 13.8713i) q^{46} +(-0.106809 + 0.398617i) q^{47} +(-4.71210 + 8.24670i) q^{48} +(-0.589001 - 6.97518i) q^{49} +(4.47727 + 4.47727i) q^{50} +(-0.0624430 + 0.000279742i) q^{51} +(0.603453 - 15.2679i) q^{52} +(-7.13704 - 4.12057i) q^{53} +(12.5796 + 3.19012i) q^{54} +1.89288 q^{55} +(14.7745 - 0.622688i) q^{56} +(2.28772 - 0.623990i) q^{57} +(6.77746 - 25.2938i) q^{58} +(7.56335 - 2.02659i) q^{59} +(2.93270 - 11.1444i) q^{60} +(5.41126 + 9.37258i) q^{61} +3.26779 q^{62} +(-2.44309 - 7.55191i) q^{63} -4.67977i q^{64} +(1.24799 + 5.52132i) q^{65} +(2.62804 + 4.50517i) q^{66} +(3.10471 - 0.831905i) q^{67} +(-0.132313 + 0.0763912i) q^{68} +(4.94083 - 8.64701i) q^{69} +(-9.89883 + 3.10464i) q^{70} +(5.73066 - 5.73066i) q^{71} +(16.1567 - 4.48470i) q^{72} +(3.30991 + 12.3528i) q^{73} +(21.2152 + 12.2486i) q^{74} +(-0.0196717 - 4.39104i) q^{75} +(4.10256 - 4.10256i) q^{76} +(1.47722 - 2.82727i) q^{77} +(-11.4084 + 10.6360i) q^{78} +(1.15250 + 1.99619i) q^{79} +(-2.22823 - 8.31585i) q^{80} +(-4.63894 - 7.71234i) q^{81} +(8.95193 - 5.16840i) q^{82} +(-9.19760 + 9.19760i) q^{83} +(-14.3570 - 13.0776i) q^{84} +(0.0400225 - 0.0400225i) q^{85} +(2.76441 - 10.3169i) q^{86} +(-15.6861 + 9.15032i) q^{87} +(5.83593 + 3.36938i) q^{88} +(-1.95890 + 7.31073i) q^{89} +(-10.1342 + 5.97270i) q^{90} +(9.22078 + 2.44485i) q^{91} -24.3670i q^{92} +(-1.60960 - 1.59525i) q^{93} +(0.515347 - 0.892608i) q^{94} +(-1.07470 + 1.86143i) q^{95} +(3.06942 - 3.09705i) q^{96} +(12.3676 + 12.3676i) q^{97} +(-3.08794 + 17.2081i) q^{98} +(0.904816 - 3.50203i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.41247 0.646418i −1.70587 0.457087i −0.731465 0.681879i \(-0.761163\pi\)
−0.974407 + 0.224793i \(0.927830\pi\)
\(3\) 0.872737 + 1.49611i 0.503875 + 0.863777i
\(4\) 3.67009 + 2.11892i 1.83504 + 1.05946i
\(5\) −1.51647 0.406338i −0.678188 0.181720i −0.0967477 0.995309i \(-0.530844\pi\)
−0.581440 + 0.813589i \(0.697511\pi\)
\(6\) −1.13834 4.17346i −0.464724 1.70381i
\(7\) −1.79039 + 1.94795i −0.676704 + 0.736255i
\(8\) −3.95215 3.95215i −1.39730 1.39730i
\(9\) −1.47666 + 2.61141i −0.492221 + 0.870471i
\(10\) 3.39578 + 1.96055i 1.07384 + 0.619982i
\(11\) −1.16460 + 0.312052i −0.351139 + 0.0940874i −0.430077 0.902792i \(-0.641514\pi\)
0.0789383 + 0.996880i \(0.474847\pi\)
\(12\) 0.0328833 + 7.34010i 0.00949260 + 2.11890i
\(13\) −1.67805 3.19126i −0.465407 0.885097i
\(14\) 5.57845 3.54202i 1.49090 0.946644i
\(15\) −0.715558 2.62343i −0.184756 0.677367i
\(16\) 2.74184 + 4.74900i 0.685459 + 1.18725i
\(17\) −0.0180259 + 0.0312218i −0.00437193 + 0.00757241i −0.868203 0.496209i \(-0.834725\pi\)
0.863831 + 0.503781i \(0.168058\pi\)
\(18\) 5.25046 5.34540i 1.23755 1.25992i
\(19\) 0.354340 1.32242i 0.0812912 0.303383i −0.913295 0.407299i \(-0.866471\pi\)
0.994586 + 0.103916i \(0.0331373\pi\)
\(20\) −4.70459 4.70459i −1.05198 1.05198i
\(21\) −4.47687 0.978568i −0.976934 0.213541i
\(22\) 3.01126 0.642004
\(23\) −2.87493 4.97952i −0.599464 1.03830i −0.992900 0.118950i \(-0.962047\pi\)
0.393436 0.919352i \(-0.371286\pi\)
\(24\) 2.46365 9.36202i 0.502890 1.91101i
\(25\) −2.19554 1.26760i −0.439108 0.253519i
\(26\) 1.98535 + 8.78353i 0.389359 + 1.72259i
\(27\) −5.19568 + 0.0698330i −0.999910 + 0.0134394i
\(28\) −10.6984 + 3.35543i −2.02182 + 0.634117i
\(29\) 10.4846i 1.94695i 0.228798 + 0.973474i \(0.426520\pi\)
−0.228798 + 0.973474i \(0.573480\pi\)
\(30\) 0.0304256 + 6.79149i 0.00555493 + 1.23995i
\(31\) −1.26381 + 0.338636i −0.226986 + 0.0608208i −0.370519 0.928825i \(-0.620820\pi\)
0.143533 + 0.989646i \(0.454154\pi\)
\(32\) −0.651571 2.43170i −0.115183 0.429867i
\(33\) −1.48325 1.47002i −0.258200 0.255897i
\(34\) 0.0636693 0.0636693i 0.0109192 0.0109192i
\(35\) 3.50661 2.22651i 0.592725 0.376349i
\(36\) −10.9529 + 6.45517i −1.82548 + 1.07586i
\(37\) −9.47419 2.53860i −1.55755 0.417343i −0.625661 0.780095i \(-0.715171\pi\)
−0.931886 + 0.362752i \(0.881837\pi\)
\(38\) −1.70967 + 2.96123i −0.277345 + 0.480375i
\(39\) 3.30997 5.29567i 0.530019 0.847986i
\(40\) 4.38743 + 7.59925i 0.693713 + 1.20155i
\(41\) −2.92653 + 2.92653i −0.457048 + 0.457048i −0.897685 0.440637i \(-0.854752\pi\)
0.440637 + 0.897685i \(0.354752\pi\)
\(42\) 10.1677 + 5.25470i 1.56892 + 0.810817i
\(43\) 4.27650i 0.652160i 0.945342 + 0.326080i \(0.105728\pi\)
−0.945342 + 0.326080i \(0.894272\pi\)
\(44\) −4.93538 1.32243i −0.744037 0.199364i
\(45\) 3.30044 3.36012i 0.492000 0.500897i
\(46\) 3.71681 + 13.8713i 0.548014 + 2.04522i
\(47\) −0.106809 + 0.398617i −0.0155797 + 0.0581443i −0.973278 0.229630i \(-0.926249\pi\)
0.957698 + 0.287774i \(0.0929152\pi\)
\(48\) −4.71210 + 8.24670i −0.680133 + 1.19031i
\(49\) −0.589001 6.97518i −0.0841430 0.996454i
\(50\) 4.47727 + 4.47727i 0.633182 + 0.633182i
\(51\) −0.0624430 0.000279742i −0.00874377 3.91717e-5i
\(52\) 0.603453 15.2679i 0.0836839 2.11727i
\(53\) −7.13704 4.12057i −0.980348 0.566004i −0.0779726 0.996956i \(-0.524845\pi\)
−0.902375 + 0.430952i \(0.858178\pi\)
\(54\) 12.5796 + 3.19012i 1.71186 + 0.434120i
\(55\) 1.89288 0.255236
\(56\) 14.7745 0.622688i 1.97432 0.0832102i
\(57\) 2.28772 0.623990i 0.303016 0.0826495i
\(58\) 6.77746 25.2938i 0.889924 3.32124i
\(59\) 7.56335 2.02659i 0.984665 0.263840i 0.269657 0.962956i \(-0.413090\pi\)
0.715008 + 0.699116i \(0.246423\pi\)
\(60\) 2.93270 11.1444i 0.378609 1.43874i
\(61\) 5.41126 + 9.37258i 0.692841 + 1.20004i 0.970903 + 0.239473i \(0.0769745\pi\)
−0.278062 + 0.960563i \(0.589692\pi\)
\(62\) 3.26779 0.415010
\(63\) −2.44309 7.55191i −0.307801 0.951451i
\(64\) 4.67977i 0.584971i
\(65\) 1.24799 + 5.52132i 0.154794 + 0.684836i
\(66\) 2.62804 + 4.50517i 0.323489 + 0.554548i
\(67\) 3.10471 0.831905i 0.379301 0.101633i −0.0641309 0.997941i \(-0.520428\pi\)
0.443432 + 0.896308i \(0.353761\pi\)
\(68\) −0.132313 + 0.0763912i −0.0160454 + 0.00926379i
\(69\) 4.94083 8.64701i 0.594806 1.04098i
\(70\) −9.89883 + 3.10464i −1.18314 + 0.371076i
\(71\) 5.73066 5.73066i 0.680105 0.680105i −0.279919 0.960024i \(-0.590308\pi\)
0.960024 + 0.279919i \(0.0903076\pi\)
\(72\) 16.1567 4.48470i 1.90408 0.528527i
\(73\) 3.30991 + 12.3528i 0.387396 + 1.44578i 0.834356 + 0.551227i \(0.185840\pi\)
−0.446960 + 0.894554i \(0.647493\pi\)
\(74\) 21.2152 + 12.2486i 2.46621 + 1.42387i
\(75\) −0.0196717 4.39104i −0.00227149 0.507034i
\(76\) 4.10256 4.10256i 0.470596 0.470596i
\(77\) 1.47722 2.82727i 0.168345 0.322197i
\(78\) −11.4084 + 10.6360i −1.29175 + 1.20429i
\(79\) 1.15250 + 1.99619i 0.129667 + 0.224589i 0.923547 0.383484i \(-0.125276\pi\)
−0.793881 + 0.608073i \(0.791943\pi\)
\(80\) −2.22823 8.31585i −0.249123 0.929740i
\(81\) −4.63894 7.71234i −0.515438 0.856927i
\(82\) 8.95193 5.16840i 0.988575 0.570754i
\(83\) −9.19760 + 9.19760i −1.00957 + 1.00957i −0.00961355 + 0.999954i \(0.503060\pi\)
−0.999954 + 0.00961355i \(0.996940\pi\)
\(84\) −14.3570 13.0776i −1.56648 1.42688i
\(85\) 0.0400225 0.0400225i 0.00434105 0.00434105i
\(86\) 2.76441 10.3169i 0.298094 1.11250i
\(87\) −15.6861 + 9.15032i −1.68173 + 0.981018i
\(88\) 5.83593 + 3.36938i 0.622113 + 0.359177i
\(89\) −1.95890 + 7.31073i −0.207643 + 0.774936i 0.780984 + 0.624551i \(0.214718\pi\)
−0.988628 + 0.150385i \(0.951949\pi\)
\(90\) −10.1342 + 5.97270i −1.06824 + 0.629578i
\(91\) 9.22078 + 2.44485i 0.966600 + 0.256290i
\(92\) 24.3670i 2.54044i
\(93\) −1.60960 1.59525i −0.166908 0.165419i
\(94\) 0.515347 0.892608i 0.0531540 0.0920655i
\(95\) −1.07470 + 1.86143i −0.110261 + 0.190978i
\(96\) 3.06942 3.09705i 0.313272 0.316091i
\(97\) 12.3676 + 12.3676i 1.25574 + 1.25574i 0.953106 + 0.302635i \(0.0978664\pi\)
0.302635 + 0.953106i \(0.402134\pi\)
\(98\) −3.08794 + 17.2081i −0.311929 + 1.73828i
\(99\) 0.904816 3.50203i 0.0909375 0.351968i
\(100\) −5.37188 9.30437i −0.537188 0.930437i
\(101\) 2.70146 4.67907i 0.268805 0.465585i −0.699748 0.714390i \(-0.746704\pi\)
0.968554 + 0.248805i \(0.0800378\pi\)
\(102\) 0.150823 + 0.0396894i 0.0149337 + 0.00392984i
\(103\) −13.0145 + 7.51391i −1.28236 + 0.740368i −0.977278 0.211960i \(-0.932015\pi\)
−0.305077 + 0.952328i \(0.598682\pi\)
\(104\) −5.98043 + 19.2442i −0.586430 + 1.88705i
\(105\) 6.39144 + 3.30310i 0.623741 + 0.322349i
\(106\) 14.5543 + 14.5543i 1.41363 + 1.41363i
\(107\) 13.8001 7.96747i 1.33410 0.770244i 0.348177 0.937429i \(-0.386801\pi\)
0.985926 + 0.167185i \(0.0534676\pi\)
\(108\) −19.2166 10.7530i −1.84912 1.03470i
\(109\) −5.35365 + 1.43451i −0.512787 + 0.137401i −0.505928 0.862576i \(-0.668850\pi\)
−0.00685882 + 0.999976i \(0.502183\pi\)
\(110\) −4.56651 1.22359i −0.435399 0.116665i
\(111\) −4.47046 16.3899i −0.424317 1.55566i
\(112\) −14.1598 3.16161i −1.33797 0.298744i
\(113\) 7.44891i 0.700734i −0.936612 0.350367i \(-0.886057\pi\)
0.936612 0.350367i \(-0.113943\pi\)
\(114\) −5.92240 + 0.0265321i −0.554684 + 0.00248496i
\(115\) 2.33639 + 8.71951i 0.217869 + 0.813099i
\(116\) −22.2162 + 38.4795i −2.06272 + 3.57273i
\(117\) 10.8116 + 0.330332i 0.999534 + 0.0305392i
\(118\) −19.5564 −1.80031
\(119\) −0.0285450 0.0910128i −0.00261672 0.00834313i
\(120\) −7.54020 + 13.1962i −0.688323 + 1.20464i
\(121\) −8.26737 + 4.77317i −0.751579 + 0.433925i
\(122\) −6.99588 26.1090i −0.633377 2.36379i
\(123\) −6.93250 1.82431i −0.625082 0.164492i
\(124\) −5.35582 1.43509i −0.480967 0.128875i
\(125\) 8.36509 + 8.36509i 0.748197 + 0.748197i
\(126\) 1.01218 + 19.7980i 0.0901725 + 1.76374i
\(127\) 6.26805i 0.556199i −0.960552 0.278100i \(-0.910295\pi\)
0.960552 0.278100i \(-0.0897045\pi\)
\(128\) −4.32823 + 16.1532i −0.382565 + 1.42775i
\(129\) −6.39809 + 3.73226i −0.563321 + 0.328607i
\(130\) 0.558351 14.1267i 0.0489706 1.23900i
\(131\) 0.222042 0.128196i 0.0193999 0.0112006i −0.490269 0.871571i \(-0.663101\pi\)
0.509669 + 0.860371i \(0.329768\pi\)
\(132\) −2.32879 8.53798i −0.202695 0.743136i
\(133\) 1.94159 + 3.05788i 0.168357 + 0.265152i
\(134\) −8.02777 −0.693494
\(135\) 7.90750 + 2.00530i 0.680569 + 0.172589i
\(136\) 0.194634 0.0521522i 0.0166898 0.00447201i
\(137\) 1.29326 0.346527i 0.110490 0.0296058i −0.203150 0.979148i \(-0.565118\pi\)
0.313641 + 0.949542i \(0.398451\pi\)
\(138\) −17.5092 + 17.6668i −1.49048 + 1.50389i
\(139\) 19.1985 1.62840 0.814200 0.580585i \(-0.197176\pi\)
0.814200 + 0.580585i \(0.197176\pi\)
\(140\) 17.5874 0.741241i 1.48640 0.0626463i
\(141\) −0.689590 + 0.188090i −0.0580740 + 0.0158401i
\(142\) −17.5294 + 10.1206i −1.47104 + 0.849304i
\(143\) 2.95009 + 3.19289i 0.246699 + 0.267003i
\(144\) −16.4504 + 0.147397i −1.37086 + 0.0122831i
\(145\) 4.26031 15.8997i 0.353799 1.32040i
\(146\) 31.9402i 2.64339i
\(147\) 9.92155 6.96870i 0.818316 0.574769i
\(148\) −29.3920 29.3920i −2.41600 2.41600i
\(149\) −2.23177 0.598001i −0.182834 0.0489901i 0.166240 0.986085i \(-0.446837\pi\)
−0.349074 + 0.937095i \(0.613504\pi\)
\(150\) −2.79099 + 10.6059i −0.227883 + 0.865972i
\(151\) −3.87535 14.4630i −0.315371 1.17698i −0.923643 0.383253i \(-0.874804\pi\)
0.608272 0.793729i \(-0.291863\pi\)
\(152\) −6.62679 + 3.82598i −0.537504 + 0.310328i
\(153\) −0.0549148 0.0931772i −0.00443960 0.00753293i
\(154\) −5.39134 + 5.86579i −0.434447 + 0.472678i
\(155\) 2.05413 0.164992
\(156\) 23.3690 12.4220i 1.87102 0.994555i
\(157\) −3.71827 + 6.44023i −0.296750 + 0.513986i −0.975390 0.220484i \(-0.929236\pi\)
0.678640 + 0.734471i \(0.262570\pi\)
\(158\) −1.49000 5.56075i −0.118538 0.442389i
\(159\) −0.0639466 14.2739i −0.00507130 1.13200i
\(160\) 3.95237i 0.312462i
\(161\) 14.8471 + 3.31508i 1.17011 + 0.261265i
\(162\) 6.20589 + 21.6045i 0.487580 + 1.69741i
\(163\) −3.78189 1.01335i −0.296220 0.0793720i 0.107648 0.994189i \(-0.465668\pi\)
−0.403868 + 0.914817i \(0.632335\pi\)
\(164\) −16.9417 + 4.53952i −1.32293 + 0.354477i
\(165\) 1.65198 + 2.83195i 0.128607 + 0.220467i
\(166\) 28.1344 16.2434i 2.18365 1.26073i
\(167\) 2.45941 + 2.45941i 0.190315 + 0.190315i 0.795832 0.605517i \(-0.207034\pi\)
−0.605517 + 0.795832i \(0.707034\pi\)
\(168\) 13.8258 + 21.5607i 1.06669 + 1.66345i
\(169\) −7.36829 + 10.7102i −0.566792 + 0.823861i
\(170\) −0.122424 + 0.0706816i −0.00938951 + 0.00542103i
\(171\) 2.93013 + 2.87809i 0.224073 + 0.220093i
\(172\) −9.06158 + 15.6951i −0.690939 + 1.19674i
\(173\) −7.04136 12.1960i −0.535344 0.927244i −0.999147 0.0413048i \(-0.986849\pi\)
0.463802 0.885939i \(-0.346485\pi\)
\(174\) 43.7572 11.9351i 3.31722 0.904794i
\(175\) 6.40009 2.00731i 0.483801 0.151738i
\(176\) −4.67507 4.67507i −0.352396 0.352396i
\(177\) 9.63281 + 9.54689i 0.724047 + 0.717588i
\(178\) 9.45158 16.3706i 0.708426 1.22703i
\(179\) −9.70396 + 16.8077i −0.725308 + 1.25627i 0.233539 + 0.972347i \(0.424969\pi\)
−0.958847 + 0.283923i \(0.908364\pi\)
\(180\) 19.2327 5.33854i 1.43352 0.397911i
\(181\) 1.45258i 0.107969i −0.998542 0.0539846i \(-0.982808\pi\)
0.998542 0.0539846i \(-0.0171922\pi\)
\(182\) −20.6644 11.8586i −1.53175 0.879018i
\(183\) −9.29976 + 16.2756i −0.687458 + 1.20313i
\(184\) −8.31767 + 31.0420i −0.613187 + 2.28844i
\(185\) 13.3358 + 7.69945i 0.980470 + 0.566075i
\(186\) 2.85192 + 4.88896i 0.209113 + 0.358476i
\(187\) 0.0112501 0.0419858i 0.000822687 0.00307031i
\(188\) −1.23664 + 1.23664i −0.0901912 + 0.0901912i
\(189\) 9.16627 10.2459i 0.666748 0.745283i
\(190\) 3.79593 3.79593i 0.275386 0.275386i
\(191\) −11.9389 + 6.89292i −0.863867 + 0.498754i −0.865305 0.501245i \(-0.832876\pi\)
0.00143823 + 0.999999i \(0.499542\pi\)
\(192\) 7.00143 4.08420i 0.505284 0.294752i
\(193\) −0.977701 3.64883i −0.0703764 0.262648i 0.921769 0.387740i \(-0.126744\pi\)
−0.992145 + 0.125092i \(0.960078\pi\)
\(194\) −21.8418 37.8311i −1.56815 2.71612i
\(195\) −7.17131 + 6.68579i −0.513548 + 0.478779i
\(196\) 12.6182 26.8475i 0.901299 1.91768i
\(197\) −11.8814 + 11.8814i −0.846517 + 0.846517i −0.989697 0.143180i \(-0.954267\pi\)
0.143180 + 0.989697i \(0.454267\pi\)
\(198\) −4.44662 + 7.86365i −0.316007 + 0.558845i
\(199\) −5.29617 3.05774i −0.375435 0.216758i 0.300395 0.953815i \(-0.402881\pi\)
−0.675830 + 0.737057i \(0.736215\pi\)
\(200\) 3.66738 + 13.6868i 0.259323 + 0.967806i
\(201\) 3.95421 + 3.91894i 0.278909 + 0.276421i
\(202\) −9.54182 + 9.54182i −0.671360 + 0.671360i
\(203\) −20.4235 18.7716i −1.43345 1.31751i
\(204\) −0.229764 0.131285i −0.0160867 0.00919182i
\(205\) 5.62718 3.24885i 0.393019 0.226910i
\(206\) 36.2541 9.71426i 2.52594 0.676825i
\(207\) 17.2489 0.154552i 1.19888 0.0107421i
\(208\) 10.5544 16.7190i 0.731813 1.15925i
\(209\) 1.65065i 0.114178i
\(210\) −13.2839 12.1002i −0.916679 0.834990i
\(211\) −17.6101 −1.21233 −0.606165 0.795339i \(-0.707293\pi\)
−0.606165 + 0.795339i \(0.707293\pi\)
\(212\) −17.4624 30.2457i −1.19932 2.07728i
\(213\) 13.5750 + 3.57232i 0.930146 + 0.244771i
\(214\) −38.4425 + 10.3006i −2.62788 + 0.704137i
\(215\) 1.73771 6.48520i 0.118511 0.442287i
\(216\) 20.8101 + 20.2581i 1.41595 + 1.37839i
\(217\) 1.60306 3.06812i 0.108823 0.208277i
\(218\) 13.8428 0.937553
\(219\) −15.5923 + 15.7327i −1.05363 + 1.06312i
\(220\) 6.94703 + 4.01087i 0.468369 + 0.270413i
\(221\) 0.129885 + 0.00513364i 0.00873704 + 0.000345326i
\(222\) 0.190084 + 42.4299i 0.0127576 + 2.84771i
\(223\) −10.9938 10.9938i −0.736200 0.736200i 0.235641 0.971840i \(-0.424281\pi\)
−0.971840 + 0.235641i \(0.924281\pi\)
\(224\) 5.90339 + 3.08446i 0.394437 + 0.206089i
\(225\) 6.55229 3.86165i 0.436819 0.257443i
\(226\) −4.81511 + 17.9702i −0.320296 + 1.19536i
\(227\) 1.89023 + 7.05442i 0.125459 + 0.468218i 0.999856 0.0169930i \(-0.00540930\pi\)
−0.874397 + 0.485211i \(0.838743\pi\)
\(228\) 9.71831 + 2.55741i 0.643611 + 0.169368i
\(229\) 15.2787 + 4.09391i 1.00964 + 0.270533i 0.725480 0.688243i \(-0.241618\pi\)
0.284163 + 0.958776i \(0.408284\pi\)
\(230\) 22.5458i 1.48663i
\(231\) 5.51911 0.257384i 0.363131 0.0169346i
\(232\) 41.4368 41.4368i 2.72046 2.72046i
\(233\) 3.48710 + 6.03983i 0.228447 + 0.395682i 0.957348 0.288937i \(-0.0933018\pi\)
−0.728901 + 0.684619i \(0.759968\pi\)
\(234\) −25.8691 7.78574i −1.69112 0.508970i
\(235\) 0.323947 0.561093i 0.0211320 0.0366017i
\(236\) 32.0524 + 8.58840i 2.08643 + 0.559057i
\(237\) −1.98068 + 3.46641i −0.128659 + 0.225168i
\(238\) 0.0100315 + 0.238017i 0.000650248 + 0.0154284i
\(239\) 13.0198 13.0198i 0.842178 0.842178i −0.146964 0.989142i \(-0.546950\pi\)
0.989142 + 0.146964i \(0.0469500\pi\)
\(240\) 10.4967 10.5912i 0.677561 0.683659i
\(241\) 1.29014 + 4.81487i 0.0831053 + 0.310153i 0.994949 0.100385i \(-0.0320075\pi\)
−0.911843 + 0.410538i \(0.865341\pi\)
\(242\) 23.0302 6.17093i 1.48044 0.396682i
\(243\) 7.48990 13.6712i 0.480478 0.877007i
\(244\) 45.8642i 2.93616i
\(245\) −1.94108 + 10.8170i −0.124011 + 0.691074i
\(246\) 15.5451 + 8.88238i 0.991122 + 0.566320i
\(247\) −4.81477 + 1.08829i −0.306357 + 0.0692461i
\(248\) 6.33309 + 3.65641i 0.402152 + 0.232182i
\(249\) −21.7877 5.73349i −1.38074 0.363345i
\(250\) −14.7732 25.5879i −0.934336 1.61832i
\(251\) −13.9661 −0.881532 −0.440766 0.897622i \(-0.645293\pi\)
−0.440766 + 0.897622i \(0.645293\pi\)
\(252\) 7.03557 32.8929i 0.443199 2.07206i
\(253\) 4.90200 + 4.90200i 0.308186 + 0.308186i
\(254\) −4.05178 + 15.1215i −0.254231 + 0.948804i
\(255\) 0.0948070 + 0.0249488i 0.00593704 + 0.00156235i
\(256\) 16.2037 28.0655i 1.01273 1.75410i
\(257\) 5.91465 + 10.2445i 0.368945 + 0.639032i 0.989401 0.145209i \(-0.0463856\pi\)
−0.620456 + 0.784242i \(0.713052\pi\)
\(258\) 17.8478 4.86810i 1.11115 0.303075i
\(259\) 21.9076 13.9101i 1.36127 0.864334i
\(260\) −7.11904 + 22.9081i −0.441504 + 1.42070i
\(261\) −27.3797 15.4823i −1.69476 0.958328i
\(262\) −0.618538 + 0.165737i −0.0382134 + 0.0102393i
\(263\) −11.4822 6.62925i −0.708023 0.408777i 0.102306 0.994753i \(-0.467378\pi\)
−0.810329 + 0.585976i \(0.800711\pi\)
\(264\) 0.0522889 + 11.6718i 0.00321816 + 0.718347i
\(265\) 9.14879 + 9.14879i 0.562006 + 0.562006i
\(266\) −2.70735 8.63210i −0.165998 0.529268i
\(267\) −12.6472 + 3.44961i −0.773998 + 0.211113i
\(268\) 13.1573 + 3.52549i 0.803710 + 0.215353i
\(269\) 2.34154 + 1.35189i 0.142766 + 0.0824259i 0.569682 0.821866i \(-0.307067\pi\)
−0.426916 + 0.904291i \(0.640400\pi\)
\(270\) −17.7803 9.94928i −1.08208 0.605494i
\(271\) −16.1143 4.31781i −0.978874 0.262289i −0.266304 0.963889i \(-0.585802\pi\)
−0.712570 + 0.701601i \(0.752469\pi\)
\(272\) −0.197697 −0.0119871
\(273\) 4.38956 + 15.9290i 0.265668 + 0.964065i
\(274\) −3.34394 −0.202015
\(275\) 2.95247 + 0.791113i 0.178041 + 0.0477059i
\(276\) 36.4556 21.2660i 2.19437 1.28006i
\(277\) 15.2886 + 8.82686i 0.918601 + 0.530354i 0.883188 0.469018i \(-0.155392\pi\)
0.0354123 + 0.999373i \(0.488726\pi\)
\(278\) −46.3158 12.4103i −2.77784 0.744320i
\(279\) 0.981897 3.80037i 0.0587846 0.227522i
\(280\) −22.6581 5.05914i −1.35408 0.302342i
\(281\) −3.81908 3.81908i −0.227827 0.227827i 0.583957 0.811784i \(-0.301504\pi\)
−0.811784 + 0.583957i \(0.801504\pi\)
\(282\) 1.78520 0.00799761i 0.106307 0.000476251i
\(283\) −7.52530 4.34473i −0.447332 0.258268i 0.259370 0.965778i \(-0.416485\pi\)
−0.706703 + 0.707510i \(0.749818\pi\)
\(284\) 33.1749 8.88918i 1.96857 0.527476i
\(285\) −3.72282 + 0.0166781i −0.220521 + 0.000987923i
\(286\) −5.05305 9.60973i −0.298793 0.568235i
\(287\) −0.461095 10.9404i −0.0272176 0.645790i
\(288\) 7.31231 + 1.88927i 0.430882 + 0.111326i
\(289\) 8.49935 + 14.7213i 0.499962 + 0.865959i
\(290\) −20.5557 + 35.6035i −1.20707 + 2.09071i
\(291\) −7.70959 + 29.2969i −0.451944 + 1.71742i
\(292\) −14.0269 + 52.3491i −0.820862 + 3.06350i
\(293\) 16.1414 + 16.1414i 0.942993 + 0.942993i 0.998460 0.0554676i \(-0.0176649\pi\)
−0.0554676 + 0.998460i \(0.517665\pi\)
\(294\) −28.4401 + 10.3983i −1.65866 + 0.606440i
\(295\) −12.2931 −0.715733
\(296\) 27.4105 + 47.4763i 1.59320 + 2.75951i
\(297\) 6.02908 1.70265i 0.349843 0.0987980i
\(298\) 4.99751 + 2.88531i 0.289498 + 0.167142i
\(299\) −11.0667 + 17.5305i −0.640002 + 1.01382i
\(300\) 9.23208 16.1572i 0.533015 0.932835i
\(301\) −8.33040 7.65661i −0.480156 0.441319i
\(302\) 37.3966i 2.15193i
\(303\) 9.35804 0.0419236i 0.537605 0.00240845i
\(304\) 7.25169 1.94308i 0.415913 0.111444i
\(305\) −4.39760 16.4121i −0.251806 0.939753i
\(306\) 0.0722487 + 0.260285i 0.00413019 + 0.0148795i
\(307\) −3.45895 + 3.45895i −0.197413 + 0.197413i −0.798890 0.601477i \(-0.794579\pi\)
0.601477 + 0.798890i \(0.294579\pi\)
\(308\) 11.4123 7.24620i 0.650276 0.412890i
\(309\) −22.5998 12.9134i −1.28566 0.734616i
\(310\) −4.95552 1.32783i −0.281455 0.0754156i
\(311\) 8.03426 13.9157i 0.455581 0.789090i −0.543140 0.839642i \(-0.682765\pi\)
0.998721 + 0.0505523i \(0.0160982\pi\)
\(312\) −34.0108 + 7.84780i −1.92548 + 0.444294i
\(313\) −10.5954 18.3517i −0.598886 1.03730i −0.992986 0.118234i \(-0.962277\pi\)
0.394100 0.919068i \(-0.371056\pi\)
\(314\) 13.1333 13.1333i 0.741154 0.741154i
\(315\) 0.636258 + 12.4450i 0.0358491 + 0.701196i
\(316\) 9.76826i 0.549508i
\(317\) −7.43321 1.99172i −0.417490 0.111866i 0.0439577 0.999033i \(-0.486003\pi\)
−0.461448 + 0.887167i \(0.652670\pi\)
\(318\) −9.07266 + 34.4767i −0.508770 + 1.93336i
\(319\) −3.27176 12.2104i −0.183183 0.683649i
\(320\) −1.90157 + 7.09675i −0.106301 + 0.396720i
\(321\) 23.9640 + 13.6928i 1.33754 + 0.764260i
\(322\) −33.6752 17.5950i −1.87664 0.980528i
\(323\) 0.0349009 + 0.0349009i 0.00194194 + 0.00194194i
\(324\) −0.683433 38.1345i −0.0379685 2.11858i
\(325\) −0.361002 + 9.13364i −0.0200248 + 0.506643i
\(326\) 8.46862 + 4.88936i 0.469034 + 0.270797i
\(327\) −6.81850 6.75768i −0.377064 0.373701i
\(328\) 23.1322 1.27726
\(329\) −0.585256 0.921740i −0.0322662 0.0508172i
\(330\) −2.15474 7.89985i −0.118614 0.434872i
\(331\) −1.45525 + 5.43106i −0.0799876 + 0.298518i −0.994318 0.106451i \(-0.966051\pi\)
0.914330 + 0.404969i \(0.132718\pi\)
\(332\) −53.2450 + 14.2669i −2.92220 + 0.783001i
\(333\) 20.6195 20.9923i 1.12994 1.15037i
\(334\) −4.34343 7.52304i −0.237662 0.411642i
\(335\) −5.04625 −0.275706
\(336\) −7.62764 23.9437i −0.416122 1.30624i
\(337\) 0.688603i 0.0375106i 0.999824 + 0.0187553i \(0.00597034\pi\)
−0.999824 + 0.0187553i \(0.994030\pi\)
\(338\) 24.6990 21.0750i 1.34345 1.14633i
\(339\) 11.1443 6.50093i 0.605278 0.353082i
\(340\) 0.231691 0.0620813i 0.0125652 0.00336683i
\(341\) 1.36615 0.788748i 0.0739812 0.0427131i
\(342\) −5.20839 8.83738i −0.281638 0.477871i
\(343\) 14.6418 + 11.3409i 0.790584 + 0.612354i
\(344\) 16.9014 16.9014i 0.911261 0.911261i
\(345\) −11.0063 + 11.1053i −0.592557 + 0.597890i
\(346\) 9.10332 + 33.9741i 0.489398 + 1.82646i
\(347\) −20.6195 11.9047i −1.10691 0.639076i −0.168884 0.985636i \(-0.554016\pi\)
−0.938028 + 0.346560i \(0.887350\pi\)
\(348\) −76.9582 + 0.344770i −4.12539 + 0.0184816i
\(349\) 2.59131 2.59131i 0.138710 0.138710i −0.634342 0.773052i \(-0.718729\pi\)
0.773052 + 0.634342i \(0.218729\pi\)
\(350\) −16.7376 + 0.705425i −0.894660 + 0.0377065i
\(351\) 8.94147 + 16.4636i 0.477261 + 0.878762i
\(352\) 1.51763 + 2.62862i 0.0808902 + 0.140106i
\(353\) −4.54981 16.9801i −0.242162 0.903760i −0.974789 0.223130i \(-0.928373\pi\)
0.732627 0.680630i \(-0.238294\pi\)
\(354\) −17.0676 29.2584i −0.907130 1.55506i
\(355\) −11.0190 + 6.36182i −0.584827 + 0.337650i
\(356\) −22.6802 + 22.6802i −1.20205 + 1.20205i
\(357\) 0.111253 0.122137i 0.00588811 0.00646415i
\(358\) 34.2753 34.2753i 1.81151 1.81151i
\(359\) 3.65645 13.6461i 0.192980 0.720211i −0.799801 0.600266i \(-0.795061\pi\)
0.992781 0.119945i \(-0.0382719\pi\)
\(360\) −26.3235 + 0.235861i −1.38737 + 0.0124310i
\(361\) 14.8313 + 8.56283i 0.780592 + 0.450675i
\(362\) −0.938973 + 3.50429i −0.0493513 + 0.184182i
\(363\) −14.3564 8.20314i −0.753516 0.430553i
\(364\) 28.6606 + 28.5109i 1.50222 + 1.49438i
\(365\) 20.0776i 1.05091i
\(366\) 32.9562 33.2528i 1.72265 1.73815i
\(367\) 10.2912 17.8249i 0.537196 0.930450i −0.461858 0.886954i \(-0.652817\pi\)
0.999054 0.0434961i \(-0.0138496\pi\)
\(368\) 15.7652 27.3061i 0.821816 1.42343i
\(369\) −3.32088 11.9639i −0.172878 0.622815i
\(370\) −27.1952 27.1952i −1.41381 1.41381i
\(371\) 20.8047 6.52515i 1.08013 0.338769i
\(372\) −2.52718 9.26532i −0.131028 0.480385i
\(373\) 7.56634 + 13.1053i 0.391770 + 0.678566i 0.992683 0.120749i \(-0.0385295\pi\)
−0.600913 + 0.799314i \(0.705196\pi\)
\(374\) −0.0542808 + 0.0940172i −0.00280680 + 0.00486151i
\(375\) −5.21454 + 19.8156i −0.269278 + 1.02327i
\(376\) 1.99752 1.15327i 0.103014 0.0594754i
\(377\) 33.4592 17.5937i 1.72324 0.906124i
\(378\) −28.7365 + 18.7928i −1.47805 + 0.966595i
\(379\) 4.95373 + 4.95373i 0.254456 + 0.254456i 0.822795 0.568339i \(-0.192414\pi\)
−0.568339 + 0.822795i \(0.692414\pi\)
\(380\) −7.88845 + 4.55440i −0.404669 + 0.233636i
\(381\) 9.37766 5.47035i 0.480432 0.280255i
\(382\) 33.2579 8.91142i 1.70162 0.455948i
\(383\) 33.7026 + 9.03057i 1.72212 + 0.461441i 0.978344 0.206988i \(-0.0663660\pi\)
0.743777 + 0.668428i \(0.233033\pi\)
\(384\) −27.9443 + 7.62198i −1.42602 + 0.388957i
\(385\) −3.38899 + 3.68723i −0.172719 + 0.187919i
\(386\) 9.43468i 0.480213i
\(387\) −11.1677 6.31494i −0.567686 0.321007i
\(388\) 19.1842 + 71.5963i 0.973929 + 3.63475i
\(389\) −16.1151 + 27.9122i −0.817070 + 1.41521i 0.0907622 + 0.995873i \(0.471070\pi\)
−0.907832 + 0.419334i \(0.862264\pi\)
\(390\) 21.6224 11.4936i 1.09489 0.581999i
\(391\) 0.207293 0.0104833
\(392\) −25.2391 + 29.8948i −1.27477 + 1.50991i
\(393\) 0.385580 + 0.220317i 0.0194499 + 0.0111135i
\(394\) 36.3439 20.9832i 1.83098 1.05712i
\(395\) −0.936611 3.49548i −0.0471260 0.175877i
\(396\) 10.7413 10.9355i 0.539771 0.549531i
\(397\) −17.3918 4.66013i −0.872871 0.233885i −0.205542 0.978648i \(-0.565896\pi\)
−0.667329 + 0.744763i \(0.732562\pi\)
\(398\) 10.8002 + 10.8002i 0.541367 + 0.541367i
\(399\) −2.88041 + 5.57354i −0.144201 + 0.279026i
\(400\) 13.9022i 0.695108i
\(401\) 5.92706 22.1201i 0.295983 1.10462i −0.644450 0.764646i \(-0.722914\pi\)
0.940434 0.339978i \(-0.110420\pi\)
\(402\) −7.00613 12.0104i −0.349434 0.599024i
\(403\) 3.20141 + 3.46489i 0.159473 + 0.172598i
\(404\) 19.8292 11.4484i 0.986539 0.569578i
\(405\) 3.90102 + 13.5806i 0.193843 + 0.674823i
\(406\) 37.1367 + 58.4880i 1.84307 + 2.90271i
\(407\) 11.8258 0.586182
\(408\) 0.247890 + 0.245679i 0.0122724 + 0.0121629i
\(409\) −13.2802 + 3.55843i −0.656665 + 0.175953i −0.571741 0.820434i \(-0.693732\pi\)
−0.0849248 + 0.996387i \(0.527065\pi\)
\(410\) −15.6755 + 4.20024i −0.774157 + 0.207435i
\(411\) 1.64711 + 1.63242i 0.0812460 + 0.0805213i
\(412\) −63.6857 −3.13757
\(413\) −9.59366 + 18.3614i −0.472073 + 0.903506i
\(414\) −41.7122 10.7771i −2.05004 0.529667i
\(415\) 17.6853 10.2106i 0.868135 0.501218i
\(416\) −6.66681 + 6.15984i −0.326867 + 0.302011i
\(417\) 16.7553 + 28.7230i 0.820509 + 1.40657i
\(418\) 1.06701 3.98214i 0.0521893 0.194773i
\(419\) 11.5025i 0.561936i 0.959717 + 0.280968i \(0.0906554\pi\)
−0.959717 + 0.280968i \(0.909345\pi\)
\(420\) 16.4581 + 25.6656i 0.803073 + 1.25235i
\(421\) −14.5632 14.5632i −0.709769 0.709769i 0.256717 0.966487i \(-0.417359\pi\)
−0.966487 + 0.256717i \(0.917359\pi\)
\(422\) 42.4838 + 11.3835i 2.06808 + 0.554140i
\(423\) −0.883233 0.867546i −0.0429443 0.0421815i
\(424\) 11.9215 + 44.4918i 0.578961 + 2.16071i
\(425\) 0.0791534 0.0456992i 0.00383950 0.00221674i
\(426\) −30.4401 17.3932i −1.47483 0.842705i
\(427\) −27.9456 6.23973i −1.35238 0.301961i
\(428\) 67.5299 3.26418
\(429\) −2.20225 + 7.20020i −0.106325 + 0.347629i
\(430\) −8.38431 + 14.5221i −0.404327 + 0.700315i
\(431\) −9.12622 34.0595i −0.439594 1.64059i −0.729826 0.683633i \(-0.760399\pi\)
0.290232 0.956956i \(-0.406268\pi\)
\(432\) −14.5773 24.4828i −0.701353 1.17793i
\(433\) 22.4893i 1.08077i −0.841418 0.540384i \(-0.818279\pi\)
0.841418 0.540384i \(-0.181721\pi\)
\(434\) −5.85062 + 6.36548i −0.280839 + 0.305553i
\(435\) 27.5057 7.50237i 1.31880 0.359711i
\(436\) −22.6880 6.07923i −1.08656 0.291142i
\(437\) −7.60370 + 2.03740i −0.363734 + 0.0974623i
\(438\) 47.7859 27.8754i 2.28330 1.33194i
\(439\) 23.9899 13.8506i 1.14498 0.661052i 0.197318 0.980340i \(-0.436777\pi\)
0.947658 + 0.319288i \(0.103444\pi\)
\(440\) −7.48094 7.48094i −0.356640 0.356640i
\(441\) 19.0848 + 8.76185i 0.908800 + 0.417231i
\(442\) −0.310026 0.0963451i −0.0147464 0.00458267i
\(443\) −4.82478 + 2.78559i −0.229232 + 0.132347i −0.610218 0.792234i \(-0.708918\pi\)
0.380985 + 0.924581i \(0.375585\pi\)
\(444\) 18.3220 69.6249i 0.869525 3.30425i
\(445\) 5.94126 10.2906i 0.281643 0.487819i
\(446\) 19.4156 + 33.6288i 0.919355 + 1.59237i
\(447\) −1.05307 3.86086i −0.0498087 0.182612i
\(448\) 9.11594 + 8.37861i 0.430688 + 0.395852i
\(449\) −3.83218 3.83218i −0.180852 0.180852i 0.610875 0.791727i \(-0.290818\pi\)
−0.791727 + 0.610875i \(0.790818\pi\)
\(450\) −18.3034 + 5.08058i −0.862831 + 0.239501i
\(451\) 2.49500 4.32146i 0.117485 0.203490i
\(452\) 15.7837 27.3381i 0.742402 1.28588i
\(453\) 18.2560 18.4203i 0.857742 0.865462i
\(454\) 18.2404i 0.856066i
\(455\) −12.9896 7.45431i −0.608964 0.349463i
\(456\) −11.5075 6.57530i −0.538888 0.307917i
\(457\) 0.693229 2.58717i 0.0324279 0.121023i −0.947815 0.318822i \(-0.896713\pi\)
0.980243 + 0.197799i \(0.0633795\pi\)
\(458\) −34.2129 19.7528i −1.59866 0.922989i
\(459\) 0.0914767 0.163478i 0.00426977 0.00763048i
\(460\) −9.90125 + 36.9520i −0.461648 + 1.72290i
\(461\) −19.4233 + 19.4233i −0.904632 + 0.904632i −0.995833 0.0912008i \(-0.970929\pi\)
0.0912008 + 0.995833i \(0.470929\pi\)
\(462\) −13.4811 2.94673i −0.627195 0.137094i
\(463\) 0.0917473 0.0917473i 0.00426386 0.00426386i −0.704972 0.709235i \(-0.749040\pi\)
0.709235 + 0.704972i \(0.249040\pi\)
\(464\) −49.7915 + 28.7471i −2.31151 + 1.33455i
\(465\) 1.79272 + 3.07320i 0.0831352 + 0.142516i
\(466\) −4.50825 16.8250i −0.208841 0.779404i
\(467\) 5.55944 + 9.62924i 0.257260 + 0.445588i 0.965507 0.260377i \(-0.0838469\pi\)
−0.708247 + 0.705965i \(0.750514\pi\)
\(468\) 38.9796 + 24.1213i 1.80183 + 1.11501i
\(469\) −3.93814 + 7.53725i −0.181846 + 0.348038i
\(470\) −1.14421 + 1.14421i −0.0527786 + 0.0527786i
\(471\) −12.8803 + 0.0577033i −0.593494 + 0.00265883i
\(472\) −37.9009 21.8821i −1.74453 1.00721i
\(473\) −1.33449 4.98039i −0.0613600 0.228999i
\(474\) 7.01909 7.08226i 0.322397 0.325299i
\(475\) −2.45426 + 2.45426i −0.112609 + 0.112609i
\(476\) 0.0880867 0.394510i 0.00403745 0.0180823i
\(477\) 21.2995 12.5531i 0.975237 0.574765i
\(478\) −39.8259 + 22.9935i −1.82160 + 1.05170i
\(479\) −12.8400 + 3.44047i −0.586674 + 0.157199i −0.539933 0.841708i \(-0.681550\pi\)
−0.0467415 + 0.998907i \(0.514884\pi\)
\(480\) −5.91315 + 3.44937i −0.269897 + 0.157442i
\(481\) 7.79683 + 34.4945i 0.355505 + 1.57281i
\(482\) 12.4497i 0.567067i
\(483\) 7.99789 + 25.1060i 0.363917 + 1.14236i
\(484\) −40.4560 −1.83891
\(485\) −13.7297 23.7806i −0.623436 1.07982i
\(486\) −26.9064 + 28.1397i −1.22050 + 1.27644i
\(487\) −20.3455 + 5.45155i −0.921941 + 0.247033i −0.688415 0.725317i \(-0.741693\pi\)
−0.233526 + 0.972351i \(0.575026\pi\)
\(488\) 15.6557 58.4279i 0.708701 2.64491i
\(489\) −1.78451 6.54249i −0.0806982 0.295862i
\(490\) 11.6751 24.8409i 0.527427 1.12220i
\(491\) −15.9278 −0.718812 −0.359406 0.933181i \(-0.617021\pi\)
−0.359406 + 0.933181i \(0.617021\pi\)
\(492\) −21.5773 21.3848i −0.972779 0.964102i
\(493\) −0.327349 0.188995i −0.0147431 0.00851192i
\(494\) 12.3190 + 0.486900i 0.554257 + 0.0219067i
\(495\) −2.79514 + 4.94309i −0.125632 + 0.222175i
\(496\) −5.07333 5.07333i −0.227799 0.227799i
\(497\) 0.902905 + 21.4232i 0.0405008 + 0.960960i
\(498\) 48.8557 + 27.9158i 2.18928 + 1.25094i
\(499\) −1.55937 + 5.81965i −0.0698071 + 0.260523i −0.992006 0.126193i \(-0.959724\pi\)
0.922199 + 0.386716i \(0.126391\pi\)
\(500\) 12.9756 + 48.4256i 0.580287 + 2.16566i
\(501\) −1.53312 + 5.82595i −0.0684946 + 0.260284i
\(502\) 33.6927 + 9.02794i 1.50378 + 0.402937i
\(503\) 4.55024i 0.202885i −0.994841 0.101443i \(-0.967654\pi\)
0.994841 0.101443i \(-0.0323458\pi\)
\(504\) −20.1908 + 39.5017i −0.899370 + 1.75955i
\(505\) −5.99798 + 5.99798i −0.266907 + 0.266907i
\(506\) −8.65717 14.9947i −0.384858 0.666594i
\(507\) −22.4542 1.67656i −0.997224 0.0744588i
\(508\) 13.2815 23.0043i 0.589272 1.02065i
\(509\) −6.89545 1.84763i −0.305635 0.0818947i 0.102742 0.994708i \(-0.467238\pi\)
−0.408377 + 0.912813i \(0.633905\pi\)
\(510\) −0.212591 0.121473i −0.00941370 0.00537892i
\(511\) −29.9886 15.6687i −1.32662 0.693144i
\(512\) −33.5830 + 33.5830i −1.48417 + 1.48417i
\(513\) −1.74869 + 6.89560i −0.0772066 + 0.304448i
\(514\) −7.64667 28.5378i −0.337280 1.25875i
\(515\) 22.7893 6.10638i 1.00422 0.269079i
\(516\) −31.3899 + 0.140625i −1.38186 + 0.00619069i
\(517\) 0.497558i 0.0218826i
\(518\) −61.8430 + 19.3963i −2.71723 + 0.852223i
\(519\) 12.1012 21.1785i 0.531185 0.929633i
\(520\) 16.8889 26.7533i 0.740625 1.17321i
\(521\) −19.7436 11.3990i −0.864981 0.499397i 0.000695975 1.00000i \(-0.499778\pi\)
−0.865677 + 0.500603i \(0.833112\pi\)
\(522\) 56.0446 + 55.0492i 2.45300 + 2.40944i
\(523\) 11.4263 + 19.7909i 0.499637 + 0.865396i 1.00000 0.000419527i \(-0.000133540\pi\)
−0.500363 + 0.865816i \(0.666800\pi\)
\(524\) 1.08655 0.0474663
\(525\) 8.58873 + 7.82336i 0.374843 + 0.341439i
\(526\) 23.4152 + 23.4152i 1.02095 + 1.02095i
\(527\) 0.0122085 0.0455626i 0.000531808 0.00198474i
\(528\) 2.91429 11.0745i 0.126828 0.481955i
\(529\) −5.03042 + 8.71295i −0.218714 + 0.378824i
\(530\) −16.1572 27.9851i −0.701824 1.21560i
\(531\) −5.87624 + 22.7436i −0.255007 + 0.986989i
\(532\) 0.646386 + 15.3368i 0.0280244 + 0.664932i
\(533\) 14.2502 + 4.42846i 0.617245 + 0.191818i
\(534\) 32.7409 0.146678i 1.41684 0.00634737i
\(535\) −24.1649 + 6.47497i −1.04474 + 0.279938i
\(536\) −15.5581 8.98247i −0.672007 0.387984i
\(537\) −33.6152 + 0.150594i −1.45060 + 0.00649863i
\(538\) −4.77499 4.77499i −0.205864 0.205864i
\(539\) 2.86257 + 7.93946i 0.123300 + 0.341977i
\(540\) 24.7721 + 24.1150i 1.06602 + 1.03775i
\(541\) −28.9391 7.75421i −1.24419 0.333380i −0.424101 0.905615i \(-0.639410\pi\)
−0.820089 + 0.572235i \(0.806076\pi\)
\(542\) 36.0841 + 20.8332i 1.54994 + 0.894861i
\(543\) 2.17321 1.26772i 0.0932613 0.0544030i
\(544\) 0.0876672 + 0.0234904i 0.00375870 + 0.00100714i
\(545\) 8.70158 0.372735
\(546\) −0.292882 41.2656i −0.0125342 1.76600i
\(547\) 32.7019 1.39823 0.699115 0.715009i \(-0.253577\pi\)
0.699115 + 0.715009i \(0.253577\pi\)
\(548\) 5.48062 + 1.46853i 0.234121 + 0.0627324i
\(549\) −32.4663 + 0.290901i −1.38563 + 0.0124153i
\(550\) −6.61136 3.81707i −0.281909 0.162760i
\(551\) 13.8650 + 3.71513i 0.590671 + 0.158270i
\(552\) −53.7012 + 14.6473i −2.28567 + 0.623432i
\(553\) −5.95191 1.32895i −0.253101 0.0565127i
\(554\) −31.1773 31.1773i −1.32460 1.32460i
\(555\) 0.119487 + 26.6714i 0.00507193 + 1.13214i
\(556\) 70.4603 + 40.6803i 2.98818 + 1.72523i
\(557\) −10.5760 + 2.83384i −0.448121 + 0.120074i −0.475820 0.879543i \(-0.657849\pi\)
0.0276991 + 0.999616i \(0.491182\pi\)
\(558\) −4.82542 + 8.53354i −0.204276 + 0.361254i
\(559\) 13.6474 7.17618i 0.577225 0.303520i
\(560\) 20.1882 + 10.5482i 0.853109 + 0.445741i
\(561\) 0.0726336 0.0198113i 0.00306659 0.000836433i
\(562\) 6.74467 + 11.6821i 0.284507 + 0.492780i
\(563\) −4.34682 + 7.52891i −0.183197 + 0.317306i −0.942967 0.332885i \(-0.891978\pi\)
0.759771 + 0.650191i \(0.225311\pi\)
\(564\) −2.92940 0.770882i −0.123350 0.0324600i
\(565\) −3.02678 + 11.2961i −0.127337 + 0.475230i
\(566\) 15.3460 + 15.3460i 0.645041 + 0.645041i
\(567\) 23.3288 + 4.77170i 0.979716 + 0.200392i
\(568\) −45.2969 −1.90061
\(569\) 4.99492 + 8.65145i 0.209398 + 0.362688i 0.951525 0.307571i \(-0.0995163\pi\)
−0.742127 + 0.670259i \(0.766183\pi\)
\(570\) 8.99196 + 2.36626i 0.376632 + 0.0991119i
\(571\) 38.7624 + 22.3795i 1.62216 + 0.936553i 0.986342 + 0.164711i \(0.0526691\pi\)
0.635815 + 0.771842i \(0.280664\pi\)
\(572\) 4.06160 + 17.9692i 0.169824 + 0.751330i
\(573\) −20.7320 11.8461i −0.866093 0.494879i
\(574\) −5.95968 + 26.6913i −0.248752 + 1.11408i
\(575\) 14.5770i 0.607903i
\(576\) 12.2208 + 6.91043i 0.509200 + 0.287935i
\(577\) 40.0417 10.7291i 1.66696 0.446660i 0.702670 0.711515i \(-0.251991\pi\)
0.964288 + 0.264855i \(0.0853242\pi\)
\(578\) −10.9883 41.0088i −0.457052 1.70574i
\(579\) 4.60576 4.64721i 0.191409 0.193131i
\(580\) 49.3259 49.3259i 2.04815 2.04815i
\(581\) −1.44914 34.3837i −0.0601206 1.42648i
\(582\) 37.5372 65.6943i 1.55597 2.72311i
\(583\) 9.59760 + 2.57167i 0.397492 + 0.106508i
\(584\) 35.7387 61.9012i 1.47888 2.56149i
\(585\) −16.2613 4.89411i −0.672322 0.202347i
\(586\) −28.5066 49.3748i −1.17759 2.03965i
\(587\) −12.5328 + 12.5328i −0.517284 + 0.517284i −0.916749 0.399465i \(-0.869196\pi\)
0.399465 + 0.916749i \(0.369196\pi\)
\(588\) 51.1791 4.55269i 2.11059 0.187750i
\(589\) 1.79127i 0.0738080i
\(590\) 29.6567 + 7.94650i 1.22095 + 0.327152i
\(591\) −28.1452 7.40651i −1.15774 0.304663i
\(592\) −13.9208 51.9533i −0.572143 2.13527i
\(593\) 8.92468 33.3074i 0.366493 1.36777i −0.498893 0.866664i \(-0.666260\pi\)
0.865386 0.501106i \(-0.167073\pi\)
\(594\) −15.6456 + 0.210286i −0.641946 + 0.00862813i
\(595\) 0.00630582 + 0.149618i 0.000258513 + 0.00613372i
\(596\) −6.92367 6.92367i −0.283604 0.283604i
\(597\) −0.0474527 10.5922i −0.00194211 0.433511i
\(598\) 38.0300 35.1381i 1.55516 1.43690i
\(599\) 3.63222 + 2.09706i 0.148409 + 0.0856837i 0.572365 0.819999i \(-0.306026\pi\)
−0.423957 + 0.905682i \(0.639359\pi\)
\(600\) −17.2763 + 17.4318i −0.705302 + 0.711650i
\(601\) 3.92273 0.160011 0.0800057 0.996794i \(-0.474506\pi\)
0.0800057 + 0.996794i \(0.474506\pi\)
\(602\) 15.1474 + 23.8562i 0.617363 + 0.972307i
\(603\) −2.41216 + 9.33612i −0.0982308 + 0.380196i
\(604\) 16.4231 61.2920i 0.668248 2.49394i
\(605\) 14.4768 3.87904i 0.588565 0.157706i
\(606\) −22.6031 5.94807i −0.918186 0.241624i
\(607\) 14.5482 + 25.1983i 0.590495 + 1.02277i 0.994166 + 0.107863i \(0.0344008\pi\)
−0.403671 + 0.914904i \(0.632266\pi\)
\(608\) −3.44659 −0.139778
\(609\) 10.2599 46.9384i 0.415753 1.90204i
\(610\) 42.4363i 1.71819i
\(611\) 1.45132 0.328044i 0.0587143 0.0132712i
\(612\) −0.00410667 0.458329i −0.000166002 0.0185268i
\(613\) −23.9305 + 6.41217i −0.966545 + 0.258985i −0.707368 0.706845i \(-0.750118\pi\)
−0.259176 + 0.965830i \(0.583451\pi\)
\(614\) 10.5805 6.10867i 0.426995 0.246526i
\(615\) 9.77167 + 5.58346i 0.394032 + 0.225147i
\(616\) −17.0120 + 5.33559i −0.685432 + 0.214977i
\(617\) −5.99264 + 5.99264i −0.241255 + 0.241255i −0.817369 0.576114i \(-0.804568\pi\)
0.576114 + 0.817369i \(0.304568\pi\)
\(618\) 46.1739 + 45.7620i 1.85739 + 1.84082i
\(619\) −12.0209 44.8625i −0.483160 1.80318i −0.588209 0.808709i \(-0.700167\pi\)
0.105049 0.994467i \(-0.466500\pi\)
\(620\) 7.53884 + 4.35255i 0.302767 + 0.174803i
\(621\) 15.2849 + 25.6712i 0.613364 + 1.03015i
\(622\) −28.3778 + 28.3778i −1.13785 + 1.13785i
\(623\) −10.7337 16.9049i −0.430037 0.677281i
\(624\) 34.2245 + 1.19917i 1.37008 + 0.0480051i
\(625\) −2.94842 5.10681i −0.117937 0.204272i
\(626\) 13.6981 + 51.1220i 0.547486 + 2.04325i
\(627\) −2.46955 + 1.44058i −0.0986243 + 0.0575314i
\(628\) −27.2927 + 15.7575i −1.08910 + 0.628791i
\(629\) 0.250041 0.250041i 0.00996978 0.00996978i
\(630\) 6.50972 30.4344i 0.259354 1.21254i
\(631\) 12.6139 12.6139i 0.502153 0.502153i −0.409953 0.912106i \(-0.634455\pi\)
0.912106 + 0.409953i \(0.134455\pi\)
\(632\) 3.33439 12.4441i 0.132635 0.495000i
\(633\) −15.3690 26.3466i −0.610862 1.04718i
\(634\) 16.6449 + 9.60992i 0.661052 + 0.381659i
\(635\) −2.54695 + 9.50534i −0.101073 + 0.377208i
\(636\) 30.0107 52.5221i 1.19000 2.08263i
\(637\) −21.2712 + 13.5844i −0.842797 + 0.538232i
\(638\) 31.5720i 1.24995i
\(639\) 6.50287 + 23.4274i 0.257249 + 0.926772i
\(640\) 13.1273 22.7372i 0.518902 0.898765i
\(641\) −0.927763 + 1.60693i −0.0366444 + 0.0634700i −0.883766 0.467929i \(-0.845000\pi\)
0.847122 + 0.531399i \(0.178334\pi\)
\(642\) −48.9610 48.5243i −1.93234 1.91510i
\(643\) 7.69902 + 7.69902i 0.303620 + 0.303620i 0.842428 0.538809i \(-0.181125\pi\)
−0.538809 + 0.842428i \(0.681125\pi\)
\(644\) 47.4657 + 43.6265i 1.87041 + 1.71912i
\(645\) 11.2191 3.06008i 0.441752 0.120491i
\(646\) −0.0616367 0.106758i −0.00242506 0.00420033i
\(647\) 11.9903 20.7677i 0.471385 0.816463i −0.528079 0.849195i \(-0.677087\pi\)
0.999464 + 0.0327320i \(0.0104208\pi\)
\(648\) −12.1465 + 48.8141i −0.477161 + 1.91760i
\(649\) −8.17584 + 4.72033i −0.320930 + 0.185289i
\(650\) 6.77505 21.8012i 0.265740 0.855115i
\(651\) 5.98928 0.279310i 0.234738 0.0109470i
\(652\) −11.7326 11.7326i −0.459485 0.459485i
\(653\) 15.8664 9.16049i 0.620902 0.358478i −0.156318 0.987707i \(-0.549963\pi\)
0.777220 + 0.629229i \(0.216629\pi\)
\(654\) 12.0811 + 20.7103i 0.472409 + 0.809836i
\(655\) −0.388813 + 0.104182i −0.0151922 + 0.00407073i
\(656\) −21.9222 5.87403i −0.855917 0.229342i
\(657\) −37.1457 9.59730i −1.44919 0.374426i
\(658\) 0.816080 + 2.60199i 0.0318141 + 0.101436i
\(659\) 21.7738i 0.848188i 0.905618 + 0.424094i \(0.139407\pi\)
−0.905618 + 0.424094i \(0.860593\pi\)
\(660\) 0.0622441 + 13.8939i 0.00242285 + 0.540820i
\(661\) 8.04549 + 30.0262i 0.312933 + 1.16788i 0.925898 + 0.377773i \(0.123310\pi\)
−0.612965 + 0.790110i \(0.710023\pi\)
\(662\) 7.02147 12.1615i 0.272897 0.472672i
\(663\) 0.105675 + 0.198803i 0.00410409 + 0.00772085i
\(664\) 72.7006 2.82133
\(665\) −1.70184 5.42614i −0.0659945 0.210417i
\(666\) −63.3137 + 37.3145i −2.45336 + 1.44591i
\(667\) 52.2085 30.1426i 2.02152 1.16712i
\(668\) 3.81493 + 14.2375i 0.147604 + 0.550867i
\(669\) 6.85319 26.0426i 0.264960 1.00686i
\(670\) 12.1739 + 3.26199i 0.470319 + 0.126022i
\(671\) −9.22667 9.22667i −0.356192 0.356192i
\(672\) 0.537422 + 11.5240i 0.0207315 + 0.444548i
\(673\) 29.8707i 1.15143i −0.817650 0.575716i \(-0.804724\pi\)
0.817650 0.575716i \(-0.195276\pi\)
\(674\) 0.445125 1.66123i 0.0171456 0.0639882i
\(675\) 11.4959 + 6.43271i 0.442476 + 0.247595i
\(676\) −49.7364 + 23.6945i −1.91294 + 0.911326i
\(677\) −6.67032 + 3.85111i −0.256361 + 0.148010i −0.622673 0.782482i \(-0.713953\pi\)
0.366312 + 0.930492i \(0.380620\pi\)
\(678\) −31.0877 + 8.47937i −1.19392 + 0.325648i
\(679\) −46.2344 + 1.94860i −1.77431 + 0.0747805i
\(680\) −0.316350 −0.0121315
\(681\) −8.90449 + 8.98463i −0.341221 + 0.344292i
\(682\) −3.80565 + 1.01972i −0.145726 + 0.0390472i
\(683\) 7.68744 2.05984i 0.294152 0.0788177i −0.108725 0.994072i \(-0.534677\pi\)
0.402877 + 0.915254i \(0.368010\pi\)
\(684\) 4.65538 + 16.7716i 0.178003 + 0.641276i
\(685\) −2.10200 −0.0803131
\(686\) −27.9919 36.8244i −1.06874 1.40596i
\(687\) 7.20934 + 26.4314i 0.275053 + 1.00842i
\(688\) −20.3091 + 11.7255i −0.774277 + 0.447029i
\(689\) −1.17351 + 29.6907i −0.0447070 + 1.13112i
\(690\) 33.7309 19.6766i 1.28411 0.749074i
\(691\) 6.46768 24.1377i 0.246042 0.918241i −0.726815 0.686833i \(-0.759000\pi\)
0.972857 0.231408i \(-0.0743331\pi\)
\(692\) 59.6804i 2.26871i
\(693\) 5.20181 + 8.03255i 0.197600 + 0.305131i
\(694\) 42.0484 + 42.0484i 1.59614 + 1.59614i
\(695\) −29.1141 7.80110i −1.10436 0.295913i
\(696\) 98.1573 + 25.8304i 3.72064 + 0.979100i
\(697\) −0.0386182 0.144125i −0.00146277 0.00545913i
\(698\) −7.92652 + 4.57638i −0.300023 + 0.173218i
\(699\) −5.99290 + 10.4882i −0.226672 + 0.396702i
\(700\) 27.7422 + 6.19432i 1.04856 + 0.234123i
\(701\) −39.3491 −1.48619 −0.743097 0.669184i \(-0.766644\pi\)
−0.743097 + 0.669184i \(0.766644\pi\)
\(702\) −10.9286 45.4978i −0.412475 1.71720i
\(703\) −6.71417 + 11.6293i −0.253230 + 0.438607i
\(704\) 1.46033 + 5.45004i 0.0550384 + 0.205406i
\(705\) 1.12217 0.00502729i 0.0422635 0.000189339i
\(706\) 43.9050i 1.65239i
\(707\) 4.27791 + 13.6397i 0.160887 + 0.512972i
\(708\) 15.1241 + 55.4491i 0.568399 + 2.08390i
\(709\) −23.9497 6.41730i −0.899450 0.241007i −0.220670 0.975349i \(-0.570824\pi\)
−0.678780 + 0.734342i \(0.737491\pi\)
\(710\) 30.6953 8.22479i 1.15198 0.308671i
\(711\) −6.91474 + 0.0619567i −0.259323 + 0.00232356i
\(712\) 36.6350 21.1512i 1.37295 0.792675i
\(713\) 5.31960 + 5.31960i 0.199220 + 0.199220i
\(714\) −0.347344 + 0.222735i −0.0129990 + 0.00833564i
\(715\) −3.17635 6.04067i −0.118789 0.225908i
\(716\) −71.2287 + 41.1239i −2.66194 + 1.53687i
\(717\) 30.8418 + 8.11611i 1.15181 + 0.303102i
\(718\) −17.6421 + 30.5570i −0.658398 + 1.14038i
\(719\) −6.84162 11.8500i −0.255149 0.441931i 0.709787 0.704417i \(-0.248791\pi\)
−0.964936 + 0.262485i \(0.915458\pi\)
\(720\) 25.0064 + 6.46088i 0.931935 + 0.240783i
\(721\) 8.66430 38.8044i 0.322675 1.44515i
\(722\) −30.2447 30.2447i −1.12559 1.12559i
\(723\) −6.07760 + 6.13230i −0.226028 + 0.228063i
\(724\) 3.07790 5.33108i 0.114389 0.198128i
\(725\) 13.2903 23.0194i 0.493589 0.854921i
\(726\) 29.3317 + 29.0700i 1.08860 + 1.07889i
\(727\) 32.3518i 1.19986i 0.800051 + 0.599931i \(0.204805\pi\)
−0.800051 + 0.599931i \(0.795195\pi\)
\(728\) −26.7795 46.1043i −0.992513 1.70874i
\(729\) 26.9902 0.725661i 0.999639 0.0268763i
\(730\) −12.9785 + 48.4365i −0.480357 + 1.79272i
\(731\) −0.133520 0.0770879i −0.00493842 0.00285120i
\(732\) −68.6177 + 40.0274i −2.53618 + 1.47945i
\(733\) 4.40270 16.4311i 0.162618 0.606897i −0.835714 0.549164i \(-0.814946\pi\)
0.998332 0.0577329i \(-0.0183872\pi\)
\(734\) −36.3495 + 36.3495i −1.34168 + 1.34168i
\(735\) −17.8774 + 6.53635i −0.659419 + 0.241097i
\(736\) −10.2355 + 10.2355i −0.377284 + 0.377284i
\(737\) −3.35614 + 1.93767i −0.123625 + 0.0713748i
\(738\) 0.277845 + 31.0091i 0.0102276 + 1.14146i
\(739\) −6.32510 23.6056i −0.232672 0.868345i −0.979184 0.202973i \(-0.934940\pi\)
0.746512 0.665372i \(-0.231727\pi\)
\(740\) 32.6291 + 56.5153i 1.19947 + 2.07754i
\(741\) −5.83022 6.25362i −0.214179 0.229732i
\(742\) −54.4087 + 2.29312i −1.99741 + 0.0841832i
\(743\) 25.2907 25.2907i 0.927826 0.927826i −0.0697391 0.997565i \(-0.522217\pi\)
0.997565 + 0.0697391i \(0.0222167\pi\)
\(744\) 0.0567434 + 12.6661i 0.00208031 + 0.464360i
\(745\) 3.14143 + 1.81371i 0.115093 + 0.0664491i
\(746\) −9.78204 36.5071i −0.358146 1.33662i
\(747\) −10.4370 37.6004i −0.381869 1.37573i
\(748\) 0.130254 0.130254i 0.00476254 0.00476254i
\(749\) −9.18729 + 41.1467i −0.335696 + 1.50347i
\(750\) 25.3891 44.4337i 0.927077 1.62249i
\(751\) 4.79468 2.76821i 0.174960 0.101013i −0.409962 0.912102i \(-0.634458\pi\)
0.584923 + 0.811089i \(0.301125\pi\)
\(752\) −2.18589 + 0.585707i −0.0797111 + 0.0213585i
\(753\) −12.1887 20.8947i −0.444182 0.761447i
\(754\) −92.0921 + 20.8157i −3.35380 + 0.758062i
\(755\) 23.5075i 0.855525i
\(756\) 55.3514 18.1809i 2.01311 0.661232i
\(757\) 13.3974 0.486938 0.243469 0.969909i \(-0.421715\pi\)
0.243469 + 0.969909i \(0.421715\pi\)
\(758\) −8.74852 15.1529i −0.317761 0.550378i
\(759\) −3.05575 + 11.6121i −0.110917 + 0.421491i
\(760\) 11.6040 3.10928i 0.420921 0.112786i
\(761\) −3.76270 + 14.0426i −0.136398 + 0.509044i 0.863590 + 0.504194i \(0.168210\pi\)
−0.999988 + 0.00484983i \(0.998456\pi\)
\(762\) −26.1594 + 7.13515i −0.947656 + 0.258479i
\(763\) 6.79079 12.9970i 0.245843 0.470522i
\(764\) −58.4223 −2.11364
\(765\) 0.0454155 + 0.163615i 0.00164200 + 0.00591551i
\(766\) −75.4688 43.5719i −2.72680 1.57432i
\(767\) −19.1591 20.7359i −0.691794 0.748730i
\(768\) 56.1305 0.251462i 2.02544 0.00907387i
\(769\) −10.0440 10.0440i −0.362197 0.362197i 0.502424 0.864621i \(-0.332442\pi\)
−0.864621 + 0.502424i \(0.832442\pi\)
\(770\) 10.5593 6.70461i 0.380532 0.241617i
\(771\) −10.1649 + 17.7897i −0.366079 + 0.640679i
\(772\) 4.14335 15.4632i 0.149122 0.556532i