Properties

Label 441.2.bh.a.335.48
Level $441$
Weight $2$
Character 441.335
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bh (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 335.48
Character \(\chi\) \(=\) 441.335
Dual form 441.2.bh.a.104.48

$q$-expansion

\(f(q)\) \(=\) \(q+(0.348745 + 2.31377i) q^{2} +(-1.20616 + 1.24305i) q^{3} +(-3.32076 + 1.02432i) q^{4} +(-2.39927 - 1.63579i) q^{5} +(-3.29678 - 2.35726i) q^{6} +(1.38573 + 2.25383i) q^{7} +(-1.49765 - 3.10990i) q^{8} +(-0.0903644 - 2.99864i) q^{9} +O(q^{10})\) \(q+(0.348745 + 2.31377i) q^{2} +(-1.20616 + 1.24305i) q^{3} +(-3.32076 + 1.02432i) q^{4} +(-2.39927 - 1.63579i) q^{5} +(-3.29678 - 2.35726i) q^{6} +(1.38573 + 2.25383i) q^{7} +(-1.49765 - 3.10990i) q^{8} +(-0.0903644 - 2.99864i) q^{9} +(2.94812 - 6.12183i) q^{10} +(-0.509755 - 3.38201i) q^{11} +(2.73208 - 5.36338i) q^{12} +(-4.98389 - 1.95603i) q^{13} +(-4.73158 + 3.99227i) q^{14} +(4.92728 - 1.00939i) q^{15} +(0.930670 - 0.634520i) q^{16} +(-0.598618 - 2.62272i) q^{17} +(6.90665 - 1.25484i) q^{18} +3.20566i q^{19} +(9.64298 + 2.97447i) q^{20} +(-4.47304 - 0.995941i) q^{21} +(7.64741 - 2.35891i) q^{22} +(2.47785 + 8.03299i) q^{23} +(5.67217 + 1.88937i) q^{24} +(1.25396 + 3.19505i) q^{25} +(2.78771 - 12.2137i) q^{26} +(3.83646 + 3.50451i) q^{27} +(-6.91032 - 6.06501i) q^{28} +(2.60958 - 8.46004i) q^{29} +(4.05387 + 11.0486i) q^{30} +(-4.22906 + 2.44165i) q^{31} +(-2.90284 - 3.12851i) q^{32} +(4.81886 + 3.44558i) q^{33} +(5.85960 - 2.29972i) q^{34} +(0.362065 - 7.67431i) q^{35} +(3.37164 + 9.86521i) q^{36} +(-0.00925870 - 0.0405650i) q^{37} +(-7.41717 + 1.11796i) q^{38} +(8.44282 - 3.83596i) q^{39} +(-1.49389 + 9.91132i) q^{40} +(-7.78707 - 5.30913i) q^{41} +(0.744428 - 10.6969i) q^{42} +(-4.23577 + 2.88790i) q^{43} +(5.15703 + 10.7087i) q^{44} +(-4.68835 + 7.34236i) q^{45} +(-17.7224 + 8.53464i) q^{46} +(-4.42954 + 0.667646i) q^{47} +(-0.333793 + 1.92220i) q^{48} +(-3.15951 + 6.24640i) q^{49} +(-6.95530 + 4.01564i) q^{50} +(3.98221 + 2.41930i) q^{51} +(18.5539 + 1.39043i) q^{52} +(-0.267296 - 0.0610085i) q^{53} +(-6.77067 + 10.0989i) q^{54} +(-4.30922 + 8.94820i) q^{55} +(4.93384 - 7.68492i) q^{56} +(-3.98481 - 3.86654i) q^{57} +(20.4847 + 3.08757i) q^{58} +(-0.860802 - 11.4866i) q^{59} +(-15.3284 + 8.39907i) q^{60} +(0.295596 - 0.958300i) q^{61} +(-7.12428 - 8.93356i) q^{62} +(6.63320 - 4.35897i) q^{63} +(7.63090 - 9.56885i) q^{64} +(8.75803 + 12.8457i) q^{65} +(-6.29173 + 12.3514i) q^{66} +(-2.84606 - 4.92952i) q^{67} +(4.67437 + 8.09625i) q^{68} +(-12.9741 - 6.60896i) q^{69} +(17.8829 - 1.83864i) q^{70} +(-10.8006 - 2.46517i) q^{71} +(-9.19012 + 4.77192i) q^{72} +(-2.74928 - 2.19247i) q^{73} +(0.0906292 - 0.0355693i) q^{74} +(-5.48410 - 2.29499i) q^{75} +(-3.28363 - 10.6453i) q^{76} +(6.91609 - 5.83545i) q^{77} +(11.8199 + 18.1970i) q^{78} +(-4.95531 + 8.58285i) q^{79} -3.27087 q^{80} +(-8.98367 + 0.541940i) q^{81} +(9.56842 - 19.8690i) q^{82} +(0.178624 + 0.455126i) q^{83} +(15.8741 - 1.27454i) q^{84} +(-2.85398 + 7.27182i) q^{85} +(-8.15913 - 8.79346i) q^{86} +(7.36872 + 13.4480i) q^{87} +(-9.75425 + 6.65034i) q^{88} +(-6.98508 + 8.75902i) q^{89} +(-18.6236 - 8.28715i) q^{90} +(-2.49776 - 13.9434i) q^{91} +(-16.4567 - 24.1376i) q^{92} +(2.06581 - 8.20196i) q^{93} +(-3.08956 - 10.0161i) q^{94} +(5.24381 - 7.69125i) q^{95} +(7.39019 + 0.165101i) q^{96} +(5.28392 + 3.05067i) q^{97} +(-15.5546 - 5.13197i) q^{98} +(-10.0954 + 1.83419i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} + O(q^{10}) \) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} - 28 q^{10} - 15 q^{11} + 21 q^{12} - 7 q^{13} - 114 q^{14} - 10 q^{15} + 39 q^{16} - 18 q^{18} - 21 q^{20} + 10 q^{21} + 3 q^{22} + 30 q^{23} - 14 q^{24} + 41 q^{25} + 7 q^{27} - 20 q^{28} + 75 q^{29} - 70 q^{30} - 39 q^{32} - 14 q^{33} - 7 q^{34} - 128 q^{36} - 10 q^{37} + 21 q^{38} - 36 q^{39} - 7 q^{40} - 21 q^{41} + 104 q^{42} + 3 q^{43} - 35 q^{45} - 72 q^{46} - 147 q^{47} - 13 q^{49} - 18 q^{50} + 22 q^{51} - 35 q^{52} - 14 q^{54} - 112 q^{55} - 63 q^{56} - 16 q^{57} + 33 q^{58} - 21 q^{59} - 90 q^{60} - 56 q^{61} - 38 q^{63} + 52 q^{64} + 27 q^{65} - 42 q^{66} - 26 q^{67} - 182 q^{69} - 25 q^{70} + 24 q^{72} - 28 q^{73} + 33 q^{74} - 14 q^{75} + 21 q^{76} + 3 q^{77} + 90 q^{78} - 2 q^{79} + 56 q^{81} - 28 q^{82} - 21 q^{83} + 116 q^{84} + 5 q^{85} - 123 q^{86} - 70 q^{87} - 41 q^{88} - 224 q^{90} - 4 q^{91} - 225 q^{92} + 112 q^{93} - 7 q^{94} - 12 q^{95} - 371 q^{96} + 224 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.348745 + 2.31377i 0.246600 + 1.63608i 0.678813 + 0.734311i \(0.262495\pi\)
−0.432213 + 0.901771i \(0.642267\pi\)
\(3\) −1.20616 + 1.24305i −0.696376 + 0.717677i
\(4\) −3.32076 + 1.02432i −1.66038 + 0.512160i
\(5\) −2.39927 1.63579i −1.07299 0.731549i −0.108079 0.994142i \(-0.534470\pi\)
−0.964907 + 0.262593i \(0.915422\pi\)
\(6\) −3.29678 2.35726i −1.34591 0.962349i
\(7\) 1.38573 + 2.25383i 0.523757 + 0.851868i
\(8\) −1.49765 3.10990i −0.529498 1.09951i
\(9\) −0.0903644 2.99864i −0.0301215 0.999546i
\(10\) 2.94812 6.12183i 0.932277 1.93589i
\(11\) −0.509755 3.38201i −0.153697 1.01971i −0.924099 0.382154i \(-0.875182\pi\)
0.770402 0.637559i \(-0.220056\pi\)
\(12\) 2.73208 5.36338i 0.788684 1.54827i
\(13\) −4.98389 1.95603i −1.38228 0.542506i −0.446406 0.894831i \(-0.647296\pi\)
−0.935878 + 0.352324i \(0.885391\pi\)
\(14\) −4.73158 + 3.99227i −1.26457 + 1.06698i
\(15\) 4.92728 1.00939i 1.27222 0.260624i
\(16\) 0.930670 0.634520i 0.232668 0.158630i
\(17\) −0.598618 2.62272i −0.145186 0.636103i −0.994183 0.107705i \(-0.965650\pi\)
0.848997 0.528398i \(-0.177207\pi\)
\(18\) 6.90665 1.25484i 1.62791 0.295769i
\(19\) 3.20566i 0.735430i 0.929939 + 0.367715i \(0.119860\pi\)
−0.929939 + 0.367715i \(0.880140\pi\)
\(20\) 9.64298 + 2.97447i 2.15624 + 0.665111i
\(21\) −4.47304 0.995941i −0.976098 0.217332i
\(22\) 7.64741 2.35891i 1.63043 0.502922i
\(23\) 2.47785 + 8.03299i 0.516667 + 1.67499i 0.718461 + 0.695567i \(0.244847\pi\)
−0.201794 + 0.979428i \(0.564677\pi\)
\(24\) 5.67217 + 1.88937i 1.15783 + 0.385666i
\(25\) 1.25396 + 3.19505i 0.250793 + 0.639010i
\(26\) 2.78771 12.2137i 0.546714 2.39531i
\(27\) 3.83646 + 3.50451i 0.738328 + 0.674442i
\(28\) −6.91032 6.06501i −1.30593 1.14618i
\(29\) 2.60958 8.46004i 0.484586 1.57099i −0.301872 0.953348i \(-0.597612\pi\)
0.786459 0.617643i \(-0.211912\pi\)
\(30\) 4.05387 + 11.0486i 0.740131 + 2.01718i
\(31\) −4.22906 + 2.44165i −0.759561 + 0.438533i −0.829138 0.559044i \(-0.811168\pi\)
0.0695768 + 0.997577i \(0.477835\pi\)
\(32\) −2.90284 3.12851i −0.513154 0.553048i
\(33\) 4.81886 + 3.44558i 0.838856 + 0.599799i
\(34\) 5.85960 2.29972i 1.00491 0.394400i
\(35\) 0.362065 7.67431i 0.0612001 1.29720i
\(36\) 3.37164 + 9.86521i 0.561941 + 1.64420i
\(37\) −0.00925870 0.0405650i −0.00152212 0.00666885i 0.974161 0.225854i \(-0.0725172\pi\)
−0.975683 + 0.219185i \(0.929660\pi\)
\(38\) −7.41717 + 1.11796i −1.20322 + 0.181357i
\(39\) 8.44282 3.83596i 1.35193 0.614245i
\(40\) −1.49389 + 9.91132i −0.236205 + 1.56712i
\(41\) −7.78707 5.30913i −1.21614 0.829147i −0.226678 0.973970i \(-0.572787\pi\)
−0.989458 + 0.144822i \(0.953739\pi\)
\(42\) 0.744428 10.6969i 0.114868 1.65057i
\(43\) −4.23577 + 2.88790i −0.645949 + 0.440400i −0.841473 0.540298i \(-0.818311\pi\)
0.195525 + 0.980699i \(0.437359\pi\)
\(44\) 5.15703 + 10.7087i 0.777452 + 1.61440i
\(45\) −4.68835 + 7.34236i −0.698897 + 1.09453i
\(46\) −17.7224 + 8.53464i −2.61302 + 1.25836i
\(47\) −4.42954 + 0.667646i −0.646115 + 0.0973862i −0.463921 0.885876i \(-0.653558\pi\)
−0.182194 + 0.983263i \(0.558320\pi\)
\(48\) −0.333793 + 1.92220i −0.0481789 + 0.277446i
\(49\) −3.15951 + 6.24640i −0.451358 + 0.892343i
\(50\) −6.95530 + 4.01564i −0.983628 + 0.567898i
\(51\) 3.98221 + 2.41930i 0.557621 + 0.338770i
\(52\) 18.5539 + 1.39043i 2.57297 + 0.192817i
\(53\) −0.267296 0.0610085i −0.0367159 0.00838017i 0.204124 0.978945i \(-0.434566\pi\)
−0.240839 + 0.970565i \(0.577423\pi\)
\(54\) −6.77067 + 10.0989i −0.921372 + 1.37428i
\(55\) −4.30922 + 8.94820i −0.581056 + 1.20657i
\(56\) 4.93384 7.68492i 0.659313 1.02694i
\(57\) −3.98481 3.86654i −0.527801 0.512135i
\(58\) 20.4847 + 3.08757i 2.68977 + 0.405418i
\(59\) −0.860802 11.4866i −0.112067 1.49543i −0.715836 0.698269i \(-0.753954\pi\)
0.603769 0.797159i \(-0.293665\pi\)
\(60\) −15.3284 + 8.39907i −1.97889 + 1.08431i
\(61\) 0.295596 0.958300i 0.0378472 0.122698i −0.934678 0.355496i \(-0.884312\pi\)
0.972525 + 0.232798i \(0.0747882\pi\)
\(62\) −7.12428 8.93356i −0.904784 1.13456i
\(63\) 6.63320 4.35897i 0.835705 0.549178i
\(64\) 7.63090 9.56885i 0.953863 1.19611i
\(65\) 8.75803 + 12.8457i 1.08630 + 1.59331i
\(66\) −6.29173 + 12.3514i −0.774459 + 1.52035i
\(67\) −2.84606 4.92952i −0.347701 0.602236i 0.638139 0.769921i \(-0.279704\pi\)
−0.985841 + 0.167684i \(0.946371\pi\)
\(68\) 4.67437 + 8.09625i 0.566851 + 0.981815i
\(69\) −12.9741 6.60896i −1.56190 0.795625i
\(70\) 17.8829 1.83864i 2.13741 0.219760i
\(71\) −10.8006 2.46517i −1.28179 0.292561i −0.473215 0.880947i \(-0.656906\pi\)
−0.808580 + 0.588386i \(0.799764\pi\)
\(72\) −9.19012 + 4.77192i −1.08307 + 0.562377i
\(73\) −2.74928 2.19247i −0.321778 0.256610i 0.449256 0.893403i \(-0.351689\pi\)
−0.771035 + 0.636793i \(0.780260\pi\)
\(74\) 0.0906292 0.0355693i 0.0105354 0.00413485i
\(75\) −5.48410 2.29499i −0.633249 0.265003i
\(76\) −3.28363 10.6453i −0.376658 1.22109i
\(77\) 6.91609 5.83545i 0.788161 0.665011i
\(78\) 11.8199 + 18.1970i 1.33834 + 2.06040i
\(79\) −4.95531 + 8.58285i −0.557516 + 0.965646i 0.440187 + 0.897906i \(0.354912\pi\)
−0.997703 + 0.0677396i \(0.978421\pi\)
\(80\) −3.27087 −0.365695
\(81\) −8.98367 + 0.541940i −0.998185 + 0.0602156i
\(82\) 9.56842 19.8690i 1.05665 2.19417i
\(83\) 0.178624 + 0.455126i 0.0196065 + 0.0499565i 0.940342 0.340231i \(-0.110505\pi\)
−0.920735 + 0.390188i \(0.872410\pi\)
\(84\) 15.8741 1.27454i 1.73200 0.139064i
\(85\) −2.85398 + 7.27182i −0.309558 + 0.788740i
\(86\) −8.15913 8.79346i −0.879822 0.948223i
\(87\) 7.36872 + 13.4480i 0.790010 + 1.44178i
\(88\) −9.75425 + 6.65034i −1.03981 + 0.708928i
\(89\) −6.98508 + 8.75902i −0.740417 + 0.928454i −0.999298 0.0374552i \(-0.988075\pi\)
0.258881 + 0.965909i \(0.416646\pi\)
\(90\) −18.6236 8.28715i −1.96310 0.873542i
\(91\) −2.49776 13.9434i −0.261836 1.46166i
\(92\) −16.4567 24.1376i −1.71573 2.51651i
\(93\) 2.06581 8.20196i 0.214215 0.850504i
\(94\) −3.08956 10.0161i −0.318664 1.03308i
\(95\) 5.24381 7.69125i 0.538003 0.789106i
\(96\) 7.39019 + 0.165101i 0.754258 + 0.0168506i
\(97\) 5.28392 + 3.05067i 0.536501 + 0.309749i 0.743660 0.668559i \(-0.233088\pi\)
−0.207159 + 0.978307i \(0.566422\pi\)
\(98\) −15.5546 5.13197i −1.57125 0.518408i
\(99\) −10.0954 + 1.83419i −1.01462 + 0.184343i
\(100\) −7.43687 9.32555i −0.743687 0.932555i
\(101\) −0.510408 + 6.81093i −0.0507875 + 0.677713i 0.912472 + 0.409140i \(0.134171\pi\)
−0.963259 + 0.268573i \(0.913448\pi\)
\(102\) −4.20893 + 10.0576i −0.416746 + 0.995854i
\(103\) 4.30063 6.30786i 0.423753 0.621532i −0.553692 0.832722i \(-0.686781\pi\)
0.977445 + 0.211190i \(0.0677338\pi\)
\(104\) 1.38105 + 18.4288i 0.135423 + 1.80710i
\(105\) 9.10288 + 9.70650i 0.888350 + 0.947258i
\(106\) 0.0479417 0.639738i 0.00465651 0.0621368i
\(107\) 10.5374 + 8.40326i 1.01868 + 0.812374i 0.982366 0.186966i \(-0.0598656\pi\)
0.0363182 + 0.999340i \(0.488437\pi\)
\(108\) −16.3297 7.70787i −1.57133 0.741690i
\(109\) 3.87839 + 4.86335i 0.371482 + 0.465824i 0.932074 0.362268i \(-0.117998\pi\)
−0.560592 + 0.828092i \(0.689426\pi\)
\(110\) −22.2069 6.84992i −2.11734 0.653114i
\(111\) 0.0615919 + 0.0374188i 0.00584605 + 0.00355163i
\(112\) 2.71976 + 1.21830i 0.256993 + 0.115119i
\(113\) −0.543462 + 3.60564i −0.0511246 + 0.339190i 0.948616 + 0.316429i \(0.102484\pi\)
−0.999741 + 0.0227610i \(0.992754\pi\)
\(114\) 7.55660 10.5684i 0.707740 0.989819i
\(115\) 7.19529 23.3266i 0.670964 2.17521i
\(116\) 30.7669i 2.85663i
\(117\) −5.41507 + 15.1217i −0.500624 + 1.39800i
\(118\) 26.2772 5.99759i 2.41901 0.552123i
\(119\) 5.08164 4.98356i 0.465833 0.456843i
\(120\) −10.5184 13.8116i −0.960197 1.26082i
\(121\) −0.666814 + 0.205685i −0.0606195 + 0.0186986i
\(122\) 2.32037 + 0.349740i 0.210077 + 0.0316640i
\(123\) 15.9920 3.27609i 1.44195 0.295395i
\(124\) 11.5427 12.4400i 1.03656 1.11715i
\(125\) −1.01299 + 4.43818i −0.0906042 + 0.396963i
\(126\) 12.3989 + 13.8275i 1.10459 + 1.23186i
\(127\) 4.10799 + 17.9983i 0.364525 + 1.59709i 0.741559 + 0.670888i \(0.234087\pi\)
−0.377034 + 0.926199i \(0.623056\pi\)
\(128\) 17.4093 + 10.0513i 1.53878 + 0.888416i
\(129\) 1.51920 8.74855i 0.133758 0.770267i
\(130\) −26.6676 + 24.7439i −2.33891 + 2.17019i
\(131\) 0.952963 + 12.7164i 0.0832608 + 1.11104i 0.869769 + 0.493458i \(0.164267\pi\)
−0.786509 + 0.617579i \(0.788114\pi\)
\(132\) −19.5317 6.50591i −1.70001 0.566267i
\(133\) −7.22502 + 4.44218i −0.626489 + 0.385186i
\(134\) 10.4132 8.30427i 0.899565 0.717379i
\(135\) −3.47206 14.6839i −0.298827 1.26379i
\(136\) −7.25986 + 5.78955i −0.622528 + 0.496450i
\(137\) 1.17006 + 1.71616i 0.0999646 + 0.146621i 0.872962 0.487788i \(-0.162196\pi\)
−0.772998 + 0.634409i \(0.781244\pi\)
\(138\) 10.7670 32.3240i 0.916544 2.75160i
\(139\) 2.48265 3.64137i 0.210575 0.308857i −0.706391 0.707822i \(-0.749678\pi\)
0.916966 + 0.398965i \(0.130630\pi\)
\(140\) 6.65862 + 25.8555i 0.562756 + 2.18518i
\(141\) 4.51281 6.31144i 0.380047 0.531520i
\(142\) 1.93718 25.8498i 0.162564 2.16927i
\(143\) −4.07475 + 17.8527i −0.340748 + 1.49291i
\(144\) −1.98680 2.73341i −0.165566 0.227784i
\(145\) −20.1000 + 16.0292i −1.66921 + 1.33115i
\(146\) 4.11409 7.12581i 0.340484 0.589736i
\(147\) −3.95374 11.4616i −0.326099 0.945336i
\(148\) 0.0722975 + 0.125223i 0.00594282 + 0.0102933i
\(149\) −6.30264 2.47360i −0.516333 0.202646i 0.0928434 0.995681i \(-0.470404\pi\)
−0.609176 + 0.793035i \(0.708500\pi\)
\(150\) 3.39753 13.4893i 0.277407 1.10140i
\(151\) −1.44106 1.33711i −0.117272 0.108813i 0.619357 0.785109i \(-0.287393\pi\)
−0.736629 + 0.676297i \(0.763584\pi\)
\(152\) 9.96928 4.80095i 0.808615 0.389409i
\(153\) −7.81049 + 2.03204i −0.631441 + 0.164281i
\(154\) 15.9138 + 13.9672i 1.28237 + 1.12551i
\(155\) 14.1407 + 1.05970i 1.13581 + 0.0851170i
\(156\) −24.1074 + 21.3865i −1.93013 + 1.71229i
\(157\) −7.22768 + 0.541640i −0.576831 + 0.0432275i −0.359952 0.932971i \(-0.617207\pi\)
−0.216879 + 0.976198i \(0.569588\pi\)
\(158\) −21.5869 8.47222i −1.71736 0.674014i
\(159\) 0.398238 0.258677i 0.0315823 0.0205144i
\(160\) 1.84708 + 12.2546i 0.146025 + 0.968810i
\(161\) −14.6714 + 16.7162i −1.15627 + 1.31742i
\(162\) −4.38693 20.5971i −0.344670 1.61826i
\(163\) −15.7968 7.60734i −1.23730 0.595853i −0.303223 0.952920i \(-0.598063\pi\)
−0.934079 + 0.357066i \(0.883777\pi\)
\(164\) 31.2973 + 9.65393i 2.44391 + 0.753845i
\(165\) −5.92548 16.1495i −0.461298 1.25724i
\(166\) −0.990762 + 0.572017i −0.0768981 + 0.0443971i
\(167\) 0.643297 0.596892i 0.0497798 0.0461889i −0.654891 0.755724i \(-0.727285\pi\)
0.704670 + 0.709535i \(0.251095\pi\)
\(168\) 3.60176 + 15.4023i 0.277882 + 1.18831i
\(169\) 11.4835 + 10.6551i 0.883343 + 0.819623i
\(170\) −17.8206 4.06744i −1.36678 0.311959i
\(171\) 9.61263 0.289678i 0.735096 0.0221522i
\(172\) 11.1079 13.9288i 0.846966 1.06206i
\(173\) −3.82149 3.54582i −0.290542 0.269584i 0.521412 0.853305i \(-0.325406\pi\)
−0.811954 + 0.583721i \(0.801596\pi\)
\(174\) −28.5458 + 21.7395i −2.16405 + 1.64806i
\(175\) −5.46345 + 7.25370i −0.412998 + 0.548328i
\(176\) −2.62037 2.82408i −0.197518 0.212873i
\(177\) 15.3167 + 12.7846i 1.15128 + 0.960952i
\(178\) −22.7024 13.1072i −1.70161 0.982428i
\(179\) 8.08373 1.84506i 0.604206 0.137906i 0.0905351 0.995893i \(-0.471142\pi\)
0.513671 + 0.857987i \(0.328285\pi\)
\(180\) 8.04797 29.1846i 0.599860 2.17529i
\(181\) −1.19410 0.952260i −0.0887565 0.0707809i 0.578106 0.815961i \(-0.303792\pi\)
−0.666863 + 0.745181i \(0.732363\pi\)
\(182\) 31.3907 10.6419i 2.32683 0.788832i
\(183\) 0.834682 + 1.52330i 0.0617015 + 0.112606i
\(184\) 21.2708 19.7364i 1.56811 1.45499i
\(185\) −0.0441419 + 0.112472i −0.00324538 + 0.00826908i
\(186\) 19.6979 + 1.91943i 1.44432 + 0.140739i
\(187\) −8.56490 + 3.36148i −0.626328 + 0.245815i
\(188\) 14.0256 6.75436i 1.02292 0.492613i
\(189\) −2.58226 + 13.5030i −0.187832 + 0.982201i
\(190\) 19.6245 + 9.45068i 1.42371 + 0.685624i
\(191\) −21.4901 1.61046i −1.55497 0.116529i −0.730688 0.682712i \(-0.760801\pi\)
−0.824280 + 0.566183i \(0.808420\pi\)
\(192\) 2.69052 + 21.0272i 0.194171 + 1.51750i
\(193\) 7.04821 + 4.80539i 0.507342 + 0.345900i 0.789784 0.613384i \(-0.210192\pi\)
−0.282443 + 0.959284i \(0.591145\pi\)
\(194\) −5.21581 + 13.2897i −0.374474 + 0.954143i
\(195\) −26.5314 4.60721i −1.89996 0.329929i
\(196\) 4.09366 23.9792i 0.292405 1.71280i
\(197\) 17.7088i 1.26170i −0.775905 0.630850i \(-0.782706\pi\)
0.775905 0.630850i \(-0.217294\pi\)
\(198\) −7.76458 22.7187i −0.551805 1.61454i
\(199\) 6.45938 + 13.4130i 0.457893 + 0.950826i 0.994275 + 0.106850i \(0.0340765\pi\)
−0.536382 + 0.843976i \(0.680209\pi\)
\(200\) 8.05828 8.68476i 0.569806 0.614105i
\(201\) 9.56045 + 2.40798i 0.674342 + 0.169845i
\(202\) −15.9369 + 1.19431i −1.12132 + 0.0840312i
\(203\) 22.6837 5.84179i 1.59208 0.410013i
\(204\) −15.7021 3.95487i −1.09937 0.276896i
\(205\) 9.99863 + 25.4761i 0.698334 + 1.77933i
\(206\) 16.0948 + 7.75083i 1.12137 + 0.540026i
\(207\) 23.8641 8.15607i 1.65867 0.566886i
\(208\) −5.87951 + 1.34196i −0.407670 + 0.0930481i
\(209\) 10.8416 1.63410i 0.749927 0.113033i
\(210\) −19.2840 + 24.4471i −1.33073 + 1.68701i
\(211\) −15.2068 2.29206i −1.04688 0.157792i −0.396992 0.917822i \(-0.629946\pi\)
−0.649888 + 0.760030i \(0.725184\pi\)
\(212\) 0.950119 0.0712016i 0.0652544 0.00489014i
\(213\) 16.0916 10.4523i 1.10258 0.716182i
\(214\) −15.7684 + 27.3116i −1.07790 + 1.86698i
\(215\) 14.8868 1.01527
\(216\) 5.15298 17.1795i 0.350616 1.16892i
\(217\) −11.3634 6.14812i −0.771397 0.417362i
\(218\) −9.90010 + 10.6698i −0.670519 + 0.722648i
\(219\) 6.04143 0.773026i 0.408242 0.0522363i
\(220\) 5.14410 34.1289i 0.346815 2.30097i
\(221\) −2.14668 + 14.2423i −0.144401 + 0.958039i
\(222\) −0.0650986 + 0.155559i −0.00436913 + 0.0104405i
\(223\) 6.80455 7.33356i 0.455667 0.491092i −0.462871 0.886426i \(-0.653181\pi\)
0.918537 + 0.395334i \(0.129371\pi\)
\(224\) 3.02859 10.8778i 0.202356 0.726802i
\(225\) 9.46749 4.04891i 0.631166 0.269927i
\(226\) −8.53214 −0.567550
\(227\) −4.47327 + 7.74793i −0.296901 + 0.514248i −0.975425 0.220330i \(-0.929287\pi\)
0.678524 + 0.734578i \(0.262620\pi\)
\(228\) 17.1932 + 8.75814i 1.13865 + 0.580022i
\(229\) 13.1491 0.985386i 0.868914 0.0651161i 0.367192 0.930145i \(-0.380319\pi\)
0.501722 + 0.865029i \(0.332700\pi\)
\(230\) 56.4816 + 8.51324i 3.72429 + 0.561346i
\(231\) −1.08812 + 15.6355i −0.0715930 + 1.02874i
\(232\) −30.2181 + 4.55464i −1.98391 + 0.299027i
\(233\) −17.5788 + 4.01225i −1.15163 + 0.262851i −0.755376 0.655291i \(-0.772546\pi\)
−0.396250 + 0.918143i \(0.629689\pi\)
\(234\) −36.8765 7.25564i −2.41069 0.474316i
\(235\) 11.7198 + 5.64396i 0.764515 + 0.368171i
\(236\) 14.6245 + 37.2626i 0.951972 + 2.42559i
\(237\) −4.69205 16.5120i −0.304781 1.07257i
\(238\) 13.3030 + 10.0198i 0.862306 + 0.649484i
\(239\) −14.1888 + 1.06330i −0.917795 + 0.0687792i −0.525245 0.850951i \(-0.676026\pi\)
−0.392550 + 0.919731i \(0.628407\pi\)
\(240\) 3.94519 4.06587i 0.254661 0.262451i
\(241\) 14.0896 15.1849i 0.907589 0.978148i −0.0922565 0.995735i \(-0.529408\pi\)
0.999845 + 0.0175872i \(0.00559845\pi\)
\(242\) −0.708456 1.47112i −0.0455413 0.0945674i
\(243\) 10.1621 11.8208i 0.651897 0.758308i
\(244\) 3.48507i 0.223109i
\(245\) 17.7983 9.81849i 1.13709 0.627280i
\(246\) 13.1572 + 35.8592i 0.838875 + 2.28630i
\(247\) 6.27039 15.9767i 0.398975 1.01657i
\(248\) 13.9269 + 9.49520i 0.884359 + 0.602946i
\(249\) −0.781194 0.326915i −0.0495062 0.0207174i
\(250\) −10.6222 0.796024i −0.671807 0.0503450i
\(251\) −9.67035 4.65700i −0.610387 0.293947i 0.103039 0.994677i \(-0.467143\pi\)
−0.713426 + 0.700730i \(0.752858\pi\)
\(252\) −17.5623 + 21.2696i −1.10632 + 1.33986i
\(253\) 25.9045 12.4750i 1.62860 0.784294i
\(254\) −40.2112 + 15.7817i −2.52308 + 0.990234i
\(255\) −5.59691 12.3186i −0.350492 0.771422i
\(256\) −8.24210 + 21.0005i −0.515131 + 1.31253i
\(257\) 6.78189 6.29268i 0.423043 0.392526i −0.439720 0.898135i \(-0.644922\pi\)
0.862763 + 0.505608i \(0.168732\pi\)
\(258\) 20.7719 + 0.464058i 1.29320 + 0.0288910i
\(259\) 0.0785966 0.0770797i 0.00488376 0.00478950i
\(260\) −42.2414 33.6864i −2.61970 2.08914i
\(261\) −25.6044 7.06070i −1.58487 0.437046i
\(262\) −29.0905 + 6.63972i −1.79722 + 0.410203i
\(263\) −8.90218 5.13968i −0.548932 0.316926i 0.199759 0.979845i \(-0.435984\pi\)
−0.748691 + 0.662919i \(0.769317\pi\)
\(264\) 3.49845 20.1464i 0.215315 1.23993i
\(265\) 0.541517 + 0.583617i 0.0332651 + 0.0358513i
\(266\) −12.7979 15.1679i −0.784688 0.930001i
\(267\) −2.46281 19.2476i −0.150722 1.17793i
\(268\) 14.5005 + 13.4545i 0.885758 + 0.821864i
\(269\) −8.24859 + 10.3434i −0.502925 + 0.630648i −0.966886 0.255207i \(-0.917856\pi\)
0.463961 + 0.885856i \(0.346428\pi\)
\(270\) 32.7643 13.1545i 1.99397 0.800556i
\(271\) 13.2632 + 3.02724i 0.805683 + 0.183892i 0.605478 0.795862i \(-0.292982\pi\)
0.200205 + 0.979754i \(0.435839\pi\)
\(272\) −2.22128 2.06105i −0.134685 0.124970i
\(273\) 20.3451 + 13.7131i 1.23134 + 0.829954i
\(274\) −3.56274 + 3.30574i −0.215233 + 0.199707i
\(275\) 10.1665 5.86961i 0.613061 0.353951i
\(276\) 49.8537 + 8.65715i 3.00084 + 0.521099i
\(277\) 12.6941 + 3.91560i 0.762713 + 0.235266i 0.651621 0.758544i \(-0.274089\pi\)
0.111092 + 0.993810i \(0.464565\pi\)
\(278\) 9.29111 + 4.47436i 0.557244 + 0.268354i
\(279\) 7.70378 + 12.4608i 0.461213 + 0.746007i
\(280\) −24.4086 + 10.3674i −1.45869 + 0.619572i
\(281\) 2.19976 + 14.5945i 0.131227 + 0.870632i 0.953468 + 0.301494i \(0.0974852\pi\)
−0.822241 + 0.569139i \(0.807277\pi\)
\(282\) 16.1771 + 8.24052i 0.963329 + 0.490716i
\(283\) 0.962840 + 0.377887i 0.0572349 + 0.0224630i 0.393786 0.919202i \(-0.371165\pi\)
−0.336551 + 0.941665i \(0.609260\pi\)
\(284\) 38.3913 2.87703i 2.27811 0.170721i
\(285\) 3.23578 + 15.7952i 0.191671 + 0.935627i
\(286\) −42.7280 3.20202i −2.52656 0.189339i
\(287\) 1.17512 24.9078i 0.0693650 1.47026i
\(288\) −9.11897 + 8.98726i −0.537340 + 0.529579i
\(289\) 8.79616 4.23601i 0.517421 0.249177i
\(290\) −44.0976 40.9166i −2.58950 2.40271i
\(291\) −10.1654 + 2.88860i −0.595906 + 0.169333i
\(292\) 11.3755 + 4.46455i 0.665700 + 0.261268i
\(293\) 8.49703 + 14.7173i 0.496402 + 0.859793i 0.999991 0.00415008i \(-0.00132101\pi\)
−0.503590 + 0.863943i \(0.667988\pi\)
\(294\) 25.1406 13.1452i 1.46623 0.766645i
\(295\) −16.7244 + 28.9675i −0.973733 + 1.68656i
\(296\) −0.112287 + 0.0895457i −0.00652653 + 0.00520474i
\(297\) 9.89660 14.7614i 0.574259 0.856542i
\(298\) 3.52534 15.4455i 0.204217 0.894735i
\(299\) 3.36347 44.8824i 0.194514 2.59561i
\(300\) 20.5622 + 2.00365i 1.18716 + 0.115681i
\(301\) −12.3785 5.54486i −0.713483 0.319600i
\(302\) 2.59121 3.80060i 0.149107 0.218700i
\(303\) −7.85071 8.84952i −0.451012 0.508392i
\(304\) 2.03406 + 2.98342i 0.116661 + 0.171111i
\(305\) −2.27680 + 1.81568i −0.130369 + 0.103966i
\(306\) −7.42554 17.3630i −0.424490 0.992578i
\(307\) 3.33551 2.65998i 0.190368 0.151813i −0.523668 0.851922i \(-0.675437\pi\)
0.714036 + 0.700109i \(0.246865\pi\)
\(308\) −16.9893 + 26.4624i −0.968057 + 1.50784i
\(309\) 2.65377 + 12.9542i 0.150968 + 0.736938i
\(310\) 2.47959 + 33.0879i 0.140831 + 1.87926i
\(311\) 24.8620 23.0686i 1.40980 1.30810i 0.518208 0.855254i \(-0.326599\pi\)
0.891589 0.452846i \(-0.149591\pi\)
\(312\) −24.5738 20.5114i −1.39122 1.16123i
\(313\) −1.99744 1.15322i −0.112902 0.0651839i 0.442486 0.896776i \(-0.354097\pi\)
−0.555388 + 0.831592i \(0.687430\pi\)
\(314\) −3.77384 16.5343i −0.212970 0.933084i
\(315\) −23.0452 0.392216i −1.29845 0.0220989i
\(316\) 7.66383 33.5774i 0.431124 1.88888i
\(317\) 1.52374 1.64220i 0.0855819 0.0922354i −0.688809 0.724943i \(-0.741866\pi\)
0.774391 + 0.632708i \(0.218057\pi\)
\(318\) 0.737403 + 0.831219i 0.0413515 + 0.0466124i
\(319\) −29.9422 4.51306i −1.67644 0.252683i
\(320\) −33.9612 + 10.4757i −1.89849 + 0.585607i
\(321\) −23.1554 + 2.96283i −1.29241 + 0.165369i
\(322\) −43.7940 28.1165i −2.44055 1.56687i
\(323\) 8.40755 1.91897i 0.467809 0.106774i
\(324\) 29.2775 11.0018i 1.62653 0.611212i
\(325\) 18.3766i 1.01935i
\(326\) 12.0926 39.2032i 0.669747 2.17127i
\(327\) −10.7234 1.04492i −0.593003 0.0577842i
\(328\) −4.84857 + 32.1682i −0.267718 + 1.77619i
\(329\) −7.64291 9.05826i −0.421367 0.499398i
\(330\) 35.2998 19.3423i 1.94319 1.06476i
\(331\) −21.9939 6.78423i −1.20890 0.372895i −0.376154 0.926557i \(-0.622754\pi\)
−0.832741 + 0.553662i \(0.813230\pi\)
\(332\) −1.05936 1.32840i −0.0581400 0.0729053i
\(333\) −0.120803 + 0.0314291i −0.00661997 + 0.00172231i
\(334\) 1.60542 + 1.28028i 0.0878445 + 0.0700537i
\(335\) −1.23522 + 16.4828i −0.0674870 + 0.900552i
\(336\) −4.79487 + 1.91134i −0.261582 + 0.104272i
\(337\) −1.46860 19.5971i −0.0799995 1.06752i −0.882327 0.470636i \(-0.844024\pi\)
0.802328 0.596884i \(-0.203595\pi\)
\(338\) −20.6486 + 30.2860i −1.12314 + 1.64734i
\(339\) −3.82650 5.02452i −0.207827 0.272894i
\(340\) 2.02872 27.0714i 0.110023 1.46815i
\(341\) 10.4135 + 13.0581i 0.563920 + 0.707134i
\(342\) 4.02260 + 22.1404i 0.217517 + 1.19722i
\(343\) −18.4566 + 1.53483i −0.996560 + 0.0828729i
\(344\) 15.3247 + 8.84775i 0.826255 + 0.477038i
\(345\) 20.3175 + 37.0797i 1.09386 + 1.99630i
\(346\) 6.87149 10.0786i 0.369414 0.541831i
\(347\) 0.0968280 + 0.313909i 0.00519800 + 0.0168515i 0.958135 0.286318i \(-0.0924314\pi\)
−0.952937 + 0.303169i \(0.901955\pi\)
\(348\) −38.2448 37.1097i −2.05014 1.98929i
\(349\) 15.9264 + 23.3597i 0.852519 + 1.25042i 0.966431 + 0.256925i \(0.0827093\pi\)
−0.113912 + 0.993491i \(0.536338\pi\)
\(350\) −18.6887 10.1115i −0.998955 0.540481i
\(351\) −12.2656 24.9703i −0.654689 1.33282i
\(352\) −9.10091 + 11.4122i −0.485080 + 0.608271i
\(353\) −5.40036 + 3.68190i −0.287432 + 0.195968i −0.698449 0.715660i \(-0.746126\pi\)
0.411017 + 0.911628i \(0.365174\pi\)
\(354\) −24.2391 + 39.8980i −1.28829 + 2.12055i
\(355\) 21.8810 + 23.5821i 1.16132 + 1.25161i
\(356\) 14.2238 36.2416i 0.753859 1.92080i
\(357\) 0.0655731 + 12.3277i 0.00347050 + 0.652452i
\(358\) 7.08820 + 18.0604i 0.374623 + 0.954524i
\(359\) 6.65289 13.8149i 0.351126 0.729121i −0.648355 0.761338i \(-0.724543\pi\)
0.999481 + 0.0322175i \(0.0102569\pi\)
\(360\) 29.8555 + 3.58401i 1.57352 + 0.188894i
\(361\) 8.72372 0.459143
\(362\) 1.78688 3.09496i 0.0939161 0.162667i
\(363\) 0.548606 1.07697i 0.0287944 0.0565265i
\(364\) 22.5770 + 43.7442i 1.18335 + 2.29282i
\(365\) 3.00982 + 9.75759i 0.157541 + 0.510735i
\(366\) −3.23348 + 2.46251i −0.169017 + 0.128717i
\(367\) −26.9507 + 10.5774i −1.40682 + 0.552134i −0.942700 0.333641i \(-0.891723\pi\)
−0.464115 + 0.885775i \(0.653628\pi\)
\(368\) 7.40316 + 5.90382i 0.385916 + 0.307758i
\(369\) −15.2165 + 23.8304i −0.792139 + 1.24056i
\(370\) −0.275628 0.0629103i −0.0143292 0.00327055i
\(371\) −0.232897 0.686981i −0.0120914 0.0356663i
\(372\) 1.54135 + 29.3528i 0.0799153 + 1.52187i
\(373\) 6.21304 + 10.7613i 0.321699 + 0.557199i 0.980839 0.194821i \(-0.0624127\pi\)
−0.659140 + 0.752021i \(0.729079\pi\)
\(374\) −10.7646 18.6449i −0.556627 0.964106i
\(375\) −4.29508 6.61235i −0.221797 0.341460i
\(376\) 8.71020 + 12.7755i 0.449194 + 0.658847i
\(377\) −29.5540 + 37.0595i −1.52211 + 1.90866i
\(378\) −32.1435 1.26565i −1.65328 0.0650980i
\(379\) 6.49202 + 8.14073i 0.333472 + 0.418161i 0.920093 0.391701i \(-0.128113\pi\)
−0.586620 + 0.809862i \(0.699542\pi\)
\(380\) −9.53514 + 30.9122i −0.489142 + 1.58576i
\(381\) −27.3277 16.6023i −1.40004 0.850562i
\(382\) −3.76832 50.2847i −0.192804 2.57279i
\(383\) 29.9035 + 4.50722i 1.52800 + 0.230308i 0.858619 0.512615i \(-0.171323\pi\)
0.669377 + 0.742923i \(0.266561\pi\)
\(384\) −33.4927 + 9.51729i −1.70917 + 0.485677i
\(385\) −26.1391 + 2.68752i −1.33217 + 0.136969i
\(386\) −8.66054 + 17.9838i −0.440810 + 0.915351i
\(387\) 9.04253 + 12.4406i 0.459657 + 0.632390i
\(388\) −20.6715 4.71814i −1.04944 0.239527i
\(389\) 21.1999 + 1.58871i 1.07488 + 0.0805510i 0.600388 0.799709i \(-0.295013\pi\)
0.474491 + 0.880260i \(0.342632\pi\)
\(390\) 1.40733 62.9944i 0.0712631 3.18985i
\(391\) 19.5850 11.3074i 0.990456 0.571840i
\(392\) 24.1575 + 0.470836i 1.22014 + 0.0237808i
\(393\) −16.9566 14.1534i −0.855347 0.713945i
\(394\) 40.9741 6.17585i 2.06425 0.311135i
\(395\) 25.9289 12.4867i 1.30462 0.628274i
\(396\) 31.6455 16.4318i 1.59025 0.825727i
\(397\) −6.39242 13.2740i −0.320826 0.666202i 0.676718 0.736242i \(-0.263402\pi\)
−0.997544 + 0.0700399i \(0.977687\pi\)
\(398\) −28.7820 + 19.6233i −1.44271 + 0.983625i
\(399\) 3.19265 14.3391i 0.159832 0.717851i
\(400\) 3.19435 + 2.17787i 0.159718 + 0.108894i
\(401\) 3.79319 25.1662i 0.189423 1.25674i −0.668793 0.743449i \(-0.733189\pi\)
0.858215 0.513290i \(-0.171573\pi\)
\(402\) −2.23734 + 22.9605i −0.111589 + 1.14516i
\(403\) 25.8531 3.89673i 1.28784 0.194110i
\(404\) −5.28162 23.1403i −0.262771 1.15127i
\(405\) 22.4407 + 13.3952i 1.11509 + 0.665611i
\(406\) 21.4274 + 50.4475i 1.06342 + 2.50367i
\(407\) −0.132471 + 0.0519912i −0.00656637 + 0.00257711i
\(408\) 1.55983 16.0075i 0.0772229 0.792490i
\(409\) −16.4491 17.7279i −0.813354 0.876587i 0.180915 0.983499i \(-0.442094\pi\)
−0.994269 + 0.106912i \(0.965904\pi\)
\(410\) −55.4588 + 32.0192i −2.73892 + 1.58131i
\(411\) −3.54455 0.615514i −0.174840 0.0303611i
\(412\) −7.82010 + 25.3521i −0.385268 + 1.24901i
\(413\) 24.6960 17.8574i 1.21521 0.878707i
\(414\) 27.1938 + 52.3717i 1.33650 + 2.57393i
\(415\) 0.315926 1.38416i 0.0155082 0.0679458i
\(416\) 8.34795 + 21.2702i 0.409292 + 1.04286i
\(417\) 1.53196 + 7.47813i 0.0750203 + 0.366206i
\(418\) 7.56188 + 24.5150i 0.369864 + 1.19907i
\(419\) −31.8237 + 9.81630i −1.55469 + 0.479558i −0.948769 0.315969i \(-0.897670\pi\)
−0.605918 + 0.795527i \(0.707194\pi\)
\(420\) −40.1711 22.9087i −1.96015 1.11783i
\(421\) −32.7509 10.1023i −1.59618 0.492357i −0.635989 0.771698i \(-0.719408\pi\)
−0.960192 + 0.279341i \(0.909884\pi\)
\(422\) 35.9844i 1.75169i
\(423\) 2.40230 + 13.2223i 0.116804 + 0.642889i
\(424\) 0.210585 + 0.922631i 0.0102269 + 0.0448069i
\(425\) 7.62907 5.20141i 0.370064 0.252306i
\(426\) 29.7962 + 33.5870i 1.44363 + 1.62729i
\(427\) 2.56946 0.661720i 0.124345 0.0320229i
\(428\) −43.5997 17.1116i −2.10747 0.827121i
\(429\) −17.2770 26.5983i −0.834142 1.28418i
\(430\) 5.19168 + 34.4445i 0.250365 + 1.66106i
\(431\) 4.35771 9.04887i 0.209903 0.435869i −0.769262 0.638934i \(-0.779376\pi\)
0.979165 + 0.203065i \(0.0650902\pi\)
\(432\) 5.79416 + 0.827226i 0.278772 + 0.0397999i
\(433\) −6.13626 12.7421i −0.294890 0.612345i 0.699906 0.714235i \(-0.253225\pi\)
−0.994796 + 0.101890i \(0.967511\pi\)
\(434\) 10.2624 28.4364i 0.492611 1.36499i
\(435\) 4.31860 44.3191i 0.207061 2.12494i
\(436\) −17.8608 12.1773i −0.855379 0.583187i
\(437\) −25.7511 + 7.94316i −1.23184 + 0.379973i
\(438\) 3.89552 + 13.7089i 0.186135 + 0.655036i
\(439\) 3.25380 + 21.5875i 0.155295 + 1.03032i 0.921684 + 0.387941i \(0.126813\pi\)
−0.766389 + 0.642377i \(0.777948\pi\)
\(440\) 34.2817 1.63431
\(441\) 19.0162 + 8.90977i 0.905534 + 0.424275i
\(442\) −33.7020 −1.60304
\(443\) −5.39242 35.7764i −0.256202 1.69979i −0.633539 0.773711i \(-0.718399\pi\)
0.377338 0.926076i \(-0.376840\pi\)
\(444\) −0.242861 0.0611690i −0.0115257 0.00290295i
\(445\) 31.0870 9.58908i 1.47367 0.454566i
\(446\) 19.3412 + 13.1866i 0.915834 + 0.624405i
\(447\) 10.6768 4.85096i 0.504996 0.229443i
\(448\) 32.1409 + 3.93893i 1.51852 + 0.186097i
\(449\) 2.24904 + 4.67019i 0.106139 + 0.220400i 0.947273 0.320426i \(-0.103826\pi\)
−0.841135 + 0.540826i \(0.818112\pi\)
\(450\) 12.6700 + 20.4936i 0.597268 + 0.966075i
\(451\) −13.9860 + 29.0423i −0.658576 + 1.36755i
\(452\) −1.88862 12.5301i −0.0888330 0.589368i
\(453\) 3.40025 0.178551i 0.159758 0.00838906i
\(454\) −19.4870 7.64807i −0.914568 0.358942i
\(455\) −16.8157 + 37.5398i −0.788333 + 1.75989i
\(456\) −6.05669 + 18.1831i −0.283630 + 0.851500i
\(457\) 9.43324 6.43147i 0.441268 0.300852i −0.322230 0.946661i \(-0.604432\pi\)
0.763498 + 0.645810i \(0.223480\pi\)
\(458\) 6.86562 + 30.0803i 0.320809 + 1.40556i
\(459\) 6.89475 12.1598i 0.321820 0.567572i
\(460\) 84.8323i 3.95533i
\(461\) −17.5468 5.41249i −0.817238 0.252085i −0.142172 0.989842i \(-0.545409\pi\)
−0.675066 + 0.737757i \(0.735885\pi\)
\(462\) −36.5565 + 2.93515i −1.70076 + 0.136556i
\(463\) 29.2855 9.03337i 1.36101 0.419817i 0.473578 0.880752i \(-0.342962\pi\)
0.887434 + 0.460935i \(0.152486\pi\)
\(464\) −2.93941 9.52934i −0.136459 0.442389i
\(465\) −18.3732 + 16.2995i −0.852035 + 0.755870i
\(466\) −15.4139 39.2741i −0.714037 1.81934i
\(467\) −3.99779 + 17.5155i −0.184996 + 0.810520i 0.794209 + 0.607645i \(0.207886\pi\)
−0.979205 + 0.202875i \(0.934972\pi\)
\(468\) 2.49277 55.7622i 0.115228 2.57761i
\(469\) 7.16643 13.2455i 0.330915 0.611621i
\(470\) −8.97160 + 29.0852i −0.413829 + 1.34160i
\(471\) 8.04444 9.63769i 0.370668 0.444081i
\(472\) −34.4330 + 19.8799i −1.58491 + 0.915045i
\(473\) 11.9261 + 12.8533i 0.548362 + 0.590994i
\(474\) 36.5686 16.6148i 1.67965 0.763143i
\(475\) −10.2423 + 4.01979i −0.469947 + 0.184441i
\(476\) −11.7702 + 21.7545i −0.539485 + 0.997114i
\(477\) −0.158789 + 0.807037i −0.00727043 + 0.0369517i
\(478\) −7.40849 32.4587i −0.338856 1.48463i
\(479\) 33.6171 5.06696i 1.53600 0.231515i 0.674119 0.738622i \(-0.264523\pi\)
0.861883 + 0.507107i \(0.169285\pi\)
\(480\) −17.4610 12.4849i −0.796981 0.569857i
\(481\) −0.0332022 + 0.220282i −0.00151389 + 0.0100440i
\(482\) 40.0481 + 27.3044i 1.82414 + 1.24368i
\(483\) −3.08314 38.3997i −0.140288 1.74725i
\(484\) 2.00365 1.36606i 0.0910748 0.0620938i
\(485\) −7.68727 15.9628i −0.349061 0.724833i
\(486\) 30.8947 + 19.3902i 1.40141 + 0.879558i
\(487\) −30.7063 + 14.7874i −1.39144 + 0.670081i −0.971405 0.237428i \(-0.923695\pi\)
−0.420032 + 0.907509i \(0.637981\pi\)
\(488\) −3.42291 + 0.515921i −0.154948 + 0.0233546i
\(489\) 28.5098 10.4606i 1.28926 0.473046i
\(490\) 28.9248 + 37.7571i 1.30669 + 1.70569i
\(491\) −12.0650 + 6.96572i −0.544485 + 0.314358i −0.746895 0.664942i \(-0.768456\pi\)
0.202410 + 0.979301i \(0.435123\pi\)
\(492\) −49.7498 + 27.2600i −2.24289 + 1.22898i
\(493\) −23.7505 1.77985i −1.06967 0.0801604i
\(494\) 39.1532 + 8.93645i 1.76158 + 0.402070i
\(495\) 27.2218 + 12.1132i 1.22353 + 0.544448i
\(496\) −2.38658 + 4.95579i −0.107161 + 0.222522i
\(497\) −9.41064 27.7588i −0.422125 1.24515i
\(498\) 0.483969 1.92151i 0.0216872 0.0861051i
\(499\) −6.45705 0.973244i −0.289057 0.0435684i 0.00291301 0.999996i \(-0.499073\pi\)
−0.291970 + 0.956427i \(0.594311\pi\)
\(500\) −1.18223 15.7758i −0.0528710 0.705514i
\(501\) −0.0339488 + 1.51960i −0.00151672 + 0.0678906i
\(502\) 7.40273 23.9991i 0.330400 1.07113i
\(503\) 7.70979 + 9.66777i 0.343763 + 0.431065i 0.923417 0.383798i \(-0.125384\pi\)
−0.579655 + 0.814862i \(0.696813\pi\)
\(504\) −23.4901 14.1004i −1.04633 0.628081i
\(505\) 12.3659 15.5063i 0.550274 0.690022i
\(506\) 37.8983 + 55.5866i 1.68478 + 2.47112i
\(507\) −27.0957 + 1.42283i −1.20336 + 0.0631899i
\(508\) −32.0776 55.5601i −1.42321 2.46508i
\(509\) 19.5237 + 33.8160i 0.865371 + 1.49887i 0.866679 + 0.498867i \(0.166250\pi\)
−0.00130794 + 0.999999i \(0.500416\pi\)
\(510\) 26.5506 17.2460i 1.17568 0.763667i
\(511\) 1.13171 9.23458i 0.0500641 0.408514i
\(512\) −12.2677 2.80003i −0.542162 0.123745i
\(513\) −11.2343 + 12.2984i −0.496005 + 0.542988i
\(514\) 16.9250 + 13.4972i 0.746528 + 0.595336i
\(515\) −20.6367 + 8.09931i −0.909362 + 0.356898i
\(516\) 3.91643 + 30.6080i 0.172411 + 1.34744i
\(517\) 4.51597 + 14.6404i 0.198612 + 0.643884i
\(518\) 0.205755 + 0.154973i 0.00904035 + 0.00680914i
\(519\) 9.01697 0.473491i 0.395801 0.0207839i
\(520\) 26.8323 46.4749i 1.17667 2.03806i
\(521\) 7.03655 0.308277 0.154139 0.988049i \(-0.450740\pi\)
0.154139 + 0.988049i \(0.450740\pi\)
\(522\) 7.40742 61.7051i 0.324214 2.70076i
\(523\) −5.43752 + 11.2911i −0.237766 + 0.493727i −0.985372 0.170416i \(-0.945489\pi\)
0.747606 + 0.664143i \(0.231203\pi\)
\(524\) −16.1902 41.2520i −0.707274 1.80210i
\(525\) −2.42696 15.5405i −0.105921 0.678242i
\(526\) 8.78744 22.3900i 0.383151 0.976252i
\(527\) 8.93535 + 9.63002i 0.389230 + 0.419490i
\(528\) 6.67106 + 0.149036i 0.290321 + 0.00648594i
\(529\) −39.3857 + 26.8527i −1.71242 + 1.16751i
\(530\) −1.16150 + 1.45648i −0.0504525 + 0.0632654i
\(531\) −34.3664 + 3.61921i −1.49137 + 0.157060i
\(532\) 19.4424 22.1522i 0.842934 0.960419i
\(533\) 28.4251 + 41.6919i 1.23123 + 1.80588i
\(534\) 43.6756 12.4109i 1.89003 0.537071i
\(535\) −11.5359 37.3986i −0.498742 1.61688i
\(536\) −11.0679 + 16.2336i −0.478060 + 0.701185i
\(537\) −7.45675 + 12.2739i −0.321783 + 0.529660i
\(538\) −26.8089 15.4781i −1.15581 0.667310i
\(539\) 22.7359 + 7.50134i 0.979306 + 0.323105i
\(540\) 26.5709 + 45.2053i 1.14343 + 1.94533i
\(541\) −18.4912 23.1872i −0.794997 0.996895i −0.999836 0.0180996i \(-0.994238\pi\)
0.204839 0.978796i \(-0.434333\pi\)
\(542\) −2.37887 + 31.7438i −0.102181 + 1.36351i
\(543\) 2.62398 0.335749i 0.112606 0.0144084i
\(544\) −6.46752 + 9.48611i −0.277293 + 0.406713i
\(545\) −1.34987 18.0127i −0.0578219 0.771580i
\(546\) −24.6337 + 51.8562i −1.05422 + 2.21924i
\(547\) 0.514635 6.86733i 0.0220042 0.293626i −0.975335 0.220729i \(-0.929156\pi\)
0.997339 0.0728971i \(-0.0232245\pi\)
\(548\) −5.64337 4.50044i −0.241073 0.192249i
\(549\) −2.90031 0.799791i −0.123782 0.0341342i
\(550\) 17.1264 + 21.4759i 0.730273 + 0.915734i
\(551\) 27.1201 + 8.36543i 1.15535 + 0.356379i
\(552\) −1.12253 + 50.2460i −0.0477779 + 2.13861i
\(553\) −26.2110 + 0.725077i −1.11461 + 0.0308334i
\(554\) −4.63282 + 30.7367i −0.196829 + 1.30588i
\(555\) −0.0865663 0.190529i −0.00367453 0.00808752i
\(556\) −4.51435 + 14.6352i −0.191451 + 0.620669i
\(557\) 18.4015i 0.779698i 0.920879 + 0.389849i \(0.127473\pi\)
−0.920879 + 0.389849i \(0.872527\pi\)
\(558\) −26.1447 + 22.1704i −1.10679 + 0.938548i
\(559\) 26.7595 6.10767i 1.13180 0.258327i
\(560\) −4.53255 7.37199i −0.191535 0.311524i
\(561\) 6.15213 14.7011i 0.259743 0.620681i
\(562\) −33.0011 + 10.1795i −1.39207 + 0.429395i
\(563\) −19.1805 2.89099i −0.808360 0.121841i −0.268157 0.963375i \(-0.586415\pi\)
−0.540203 + 0.841535i \(0.681653\pi\)
\(564\) −8.52103 + 25.5814i −0.358800 + 1.07717i
\(565\) 7.20199 7.76190i 0.302990 0.326545i
\(566\) −0.538558 + 2.35958i −0.0226373 + 0.0991804i
\(567\) −13.6704 19.4967i −0.574102 0.818784i
\(568\) 8.50907 + 37.2807i 0.357033 + 1.56426i
\(569\) −23.4946 13.5646i −0.984946 0.568659i −0.0811860 0.996699i \(-0.525871\pi\)
−0.903760 + 0.428040i \(0.859204\pi\)
\(570\) −35.4180 + 12.9953i −1.48350 + 0.544315i
\(571\) −5.63700 + 5.23037i −0.235901 + 0.218884i −0.789261 0.614058i \(-0.789536\pi\)
0.553360 + 0.832942i \(0.313346\pi\)
\(572\) −4.75554 63.4583i −0.198839 2.65333i
\(573\) 27.9223 24.7709i 1.16647 1.03482i
\(574\) 58.0407 5.96750i 2.42257 0.249079i
\(575\) −22.5587 + 17.9899i −0.940762 + 0.750233i
\(576\) −29.3831 22.0176i −1.22429 0.917401i
\(577\) 36.3951 29.0241i 1.51515 1.20829i 0.603465 0.797389i \(-0.293786\pi\)
0.911681 0.410899i \(-0.134785\pi\)
\(578\) 12.8688 + 18.8750i 0.535270 + 0.785097i
\(579\) −14.4746 + 2.96525i −0.601545 + 0.123231i
\(580\) 50.3282 73.8180i 2.08977 3.06512i
\(581\) −0.778252 + 1.03327i −0.0322874 + 0.0428672i
\(582\) −10.2287 22.5130i −0.423993 0.933193i
\(583\) −0.0700757 + 0.935096i −0.00290224 + 0.0387277i
\(584\) −2.70092 + 11.8335i −0.111765 + 0.489674i
\(585\) 37.7281 27.4230i 1.55987 1.13380i
\(586\) −31.0891 + 24.7927i −1.28428 + 1.02418i
\(587\) −5.47233 + 9.47835i −0.225867 + 0.391213i −0.956579 0.291472i \(-0.905855\pi\)
0.730712 + 0.682686i \(0.239188\pi\)
\(588\) 24.8698 + 34.0113i 1.02561 + 1.40260i
\(589\) −7.82710 13.5569i −0.322510 0.558604i
\(590\) −72.8568 28.5942i −2.99947 1.17720i
\(591\) 22.0130 + 21.3596i 0.905494 + 0.878618i
\(592\) −0.0343561 0.0318778i −0.00141203 0.00131017i
\(593\) −34.3719 + 16.5526i −1.41148 + 0.679735i −0.975455 0.220198i \(-0.929330\pi\)
−0.436029 + 0.899933i \(0.643615\pi\)
\(594\) 37.6058 + 17.7505i 1.54299 + 0.728312i
\(595\) −20.3443 + 3.64439i −0.834035 + 0.149406i
\(596\) 23.4633 + 1.75833i 0.961096 + 0.0720242i
\(597\) −24.4642 8.14890i −1.00125 0.333512i
\(598\) 105.020 7.87019i 4.29461 0.321836i
\(599\) 19.8875 + 7.80527i 0.812581 + 0.318915i 0.734996 0.678071i \(-0.237184\pi\)
0.0775847 + 0.996986i \(0.475279\pi\)
\(600\) 1.07606 + 20.4921i 0.0439300 + 0.836585i
\(601\) −2.90148 19.2501i −0.118354 0.785227i −0.966724 0.255823i \(-0.917654\pi\)
0.848370 0.529404i \(-0.177584\pi\)
\(602\) 8.51261 30.5747i 0.346948 1.24613i
\(603\) −14.5247 + 8.97975i −0.591490 + 0.365684i
\(604\) 6.15506 + 2.96412i 0.250446 + 0.120608i
\(605\) 1.93633 + 0.597277i 0.0787228 + 0.0242828i
\(606\) 17.7379 21.2510i 0.720551 0.863262i
\(607\) −16.9452 + 9.78331i −0.687784 + 0.397092i −0.802781 0.596273i \(-0.796647\pi\)
0.114997 + 0.993366i \(0.463314\pi\)
\(608\) 10.0290 9.30552i 0.406728 0.377389i
\(609\) −20.0985 + 35.2431i −0.814430 + 1.42812i
\(610\) −4.99510 4.63477i −0.202246 0.187657i
\(611\) 23.3823 + 5.33686i 0.945947 + 0.215906i
\(612\) 23.8553 14.7484i 0.964295 0.596168i
\(613\) 15.8933 19.9296i 0.641926 0.804950i −0.349317 0.937005i \(-0.613586\pi\)
0.991242 + 0.132055i \(0.0421576\pi\)
\(614\) 7.31783 + 6.78996i 0.295324 + 0.274020i
\(615\) −43.7281 18.2994i −1.76329 0.737901i
\(616\) −28.5055 12.7689i −1.14852 0.514472i
\(617\) −27.1909 29.3048i −1.09466 1.17977i −0.982536 0.186072i \(-0.940424\pi\)
−0.112127 0.993694i \(-0.535766\pi\)
\(618\) −29.0475 + 10.6579i −1.16846 + 0.428724i
\(619\) −31.2465 18.0402i −1.25590 0.725096i −0.283627 0.958935i \(-0.591538\pi\)
−0.972275 + 0.233839i \(0.924871\pi\)
\(620\) −48.0433 + 10.9656i −1.92947 + 0.440388i
\(621\) −18.6455 + 39.5019i −0.748218 + 1.58516i
\(622\) 62.0460 + 49.4800i 2.48782 + 1.98397i
\(623\) −29.4208 3.60557i −1.17872 0.144454i
\(624\) 5.42349 8.92716i 0.217113 0.357372i
\(625\) 22.2707 20.6642i 0.890828 0.826567i
\(626\) 1.97169 5.02379i 0.0788046 0.200791i
\(627\) −11.0454 + 15.4476i −0.441110 + 0.616920i
\(628\) 23.4466 9.20211i 0.935621 0.367204i
\(629\) −0.100848 + 0.0485659i −0.00402108 + 0.00193645i
\(630\) −7.12940 53.4581i −0.284042 2.12982i
\(631\) 25.5472 + 12.3029i 1.01702 + 0.489769i 0.866679 0.498865i \(-0.166250\pi\)
0.150337 + 0.988635i \(0.451964\pi\)
\(632\) 34.1131 + 2.55642i 1.35694 + 0.101689i
\(633\) 21.1910 16.1383i 0.842266 0.641440i
\(634\) 4.33108 + 2.95288i 0.172009 + 0.117274i
\(635\) 19.5853 49.9025i 0.777218 1.98032i
\(636\) −1.05749 + 1.26693i −0.0419321 + 0.0502370i
\(637\) 27.9648 24.9513i 1.10801 0.988606i
\(638\) 70.8532i 2.80511i
\(639\) −6.41615 + 32.6098i −0.253819 + 1.29003i
\(640\) −25.3278 52.5938i −1.00117 2.07895i
\(641\) −8.68384 + 9.35896i −0.342991 + 0.369657i −0.880864 0.473369i \(-0.843038\pi\)
0.537873 + 0.843026i \(0.319228\pi\)
\(642\) −14.9306 52.5430i −0.589266 2.07371i
\(643\) −32.3279 + 2.42264i −1.27489 + 0.0955397i −0.694913 0.719094i \(-0.744557\pi\)
−0.579976 + 0.814634i \(0.696938\pi\)
\(644\) 31.5974 70.5388i 1.24511 2.77962i
\(645\) −17.9558 + 18.5050i −0.707008 + 0.728635i
\(646\) 7.37215 + 18.7839i 0.290053 + 0.739043i
\(647\) 11.1003 + 5.34560i 0.436396 + 0.210157i 0.639165 0.769069i \(-0.279280\pi\)
−0.202769 + 0.979227i \(0.564994\pi\)
\(648\) 15.1397 + 27.1266i 0.594745 + 1.06563i
\(649\) −38.4090 + 8.76659i −1.50768 + 0.344119i
\(650\) 42.5192 6.40874i 1.66774 0.251371i
\(651\) 21.3485 6.70970i 0.836713 0.262974i
\(652\) 60.2498 + 9.08120i 2.35957 + 0.355647i
\(653\) −16.3296 + 1.22374i −0.639028 + 0.0478885i −0.390304 0.920686i \(-0.627630\pi\)
−0.248724 + 0.968574i \(0.580011\pi\)
\(654\) −1.32201 25.1758i −0.0516946 0.984451i
\(655\) 18.5150 32.0689i 0.723441 1.25304i
\(656\) −10.6159 −0.414483
\(657\) −6.32600 + 8.44221i −0.246801 + 0.329362i
\(658\) 18.2933 20.8430i 0.713148 0.812543i
\(659\) 18.4147 19.8463i 0.717335 0.773103i −0.264183 0.964473i \(-0.585102\pi\)
0.981518 + 0.191369i \(0.0612928\pi\)
\(660\) 36.2194 + 47.5592i 1.40984 + 1.85124i
\(661\) 1.83820 12.1957i 0.0714979 0.474357i −0.924216 0.381870i \(-0.875280\pi\)
0.995714 0.0924872i \(-0.0294817\pi\)
\(662\) 8.02688 53.2548i 0.311973 2.06981i
\(663\) −15.1147 19.8469i −0.587005 0.770789i
\(664\) 1.14788 1.23712i 0.0445463 0.0480095i
\(665\) 24.6013 + 1.16066i 0.953996 + 0.0450084i
\(666\) −0.114849 0.268550i −0.00445032 0.0104061i
\(667\) 74.4256 2.88177
\(668\) −1.52483 + 2.64108i −0.0589973 + 0.102186i
\(669\) 0.908645 + 17.3039i 0.0351302 + 0.669006i
\(670\) −38.5682 + 2.89029i −1.49002 + 0.111662i
\(671\) −3.39166 0.511210i −0.130934 0.0197351i
\(672\) 9.86869 + 16.8850i 0.380693 + 0.651354i
\(673\) 30.8198 4.64534i 1.18802 0.179065i 0.474855 0.880064i \(-0.342501\pi\)
0.713162 + 0.701000i \(0.247263\pi\)
\(674\) 44.8309 10.2324i 1.72682 0.394136i
\(675\) −6.38628 + 16.6522i −0.245808 + 0.640944i
\(676\) −49.0481 23.6203i −1.88646 0.908474i
\(677\) −6.73950 17.1720i −0.259020 0.659972i 0.740912 0.671602i \(-0.234393\pi\)
−0.999932 + 0.0116295i \(0.996298\pi\)
\(678\) 10.2911 10.6059i 0.395228 0.407317i
\(679\) 0.446384 + 16.1365i 0.0171306 + 0.619261i
\(680\) 26.8889 2.01504i 1.03114 0.0772733i
\(681\) −4.23562 14.9057i −0.162309 0.571189i
\(682\) −26.5817 + 28.6483i −1.01787 + 1.09700i
\(683\) −18.1451 37.6787i −0.694303 1.44173i −0.887610 0.460596i \(-0.847636\pi\)
0.193307 0.981138i \(-0.438079\pi\)
\(684\) −31.6245 + 10.8084i −1.20919 + 0.413268i
\(685\) 6.03149i 0.230451i
\(686\) −9.98786 42.1690i −0.381338 1.61002i
\(687\) −14.6350 + 17.5335i −0.558359 + 0.668945i
\(688\) −2.10967 + 5.37536i −0.0804306 + 0.204934i
\(689\) 1.21284 + 0.826900i 0.0462055 + 0.0315024i
\(690\) −78.7082 + 59.9414i −2.99637 + 2.28193i
\(691\) 3.54602 + 0.265737i 0.134897 + 0.0101091i 0.142007 0.989866i \(-0.454644\pi\)
−0.00711049 + 0.999975i \(0.502263\pi\)
\(692\) 16.3223 + 7.86041i 0.620481 + 0.298808i
\(693\) −18.1234 20.2115i −0.688450 0.767772i
\(694\) −0.692544 + 0.333512i −0.0262886 + 0.0126599i
\(695\) −11.9131 + 4.67553i −0.451888 + 0.177353i
\(696\) 30.7861 43.0563i 1.16694 1.63205i
\(697\) −9.26288 + 23.6014i −0.350857 + 0.893968i
\(698\) −48.4947 + 44.9965i −1.83555 + 1.70314i
\(699\) 16.2154 26.6908i 0.613323 1.00954i
\(700\) 10.7127 29.6841i 0.404902 1.12196i
\(701\) −0.0785064 0.0626068i −0.00296515 0.00236462i 0.622006 0.783012i \(-0.286318\pi\)
−0.624971 + 0.780648i \(0.714889\pi\)
\(702\) 53.4981 37.0880i 2.01915 1.39980i
\(703\) 0.130038 0.0296803i 0.00490447 0.00111941i
\(704\) −36.2518 20.9300i −1.36629 0.788828i
\(705\) −21.1517 + 7.76083i −0.796618 + 0.292290i
\(706\) −10.4024 11.2112i −0.391501 0.421937i
\(707\) −16.0580 + 8.28773i −0.603922 + 0.311692i
\(708\) −63.9588 26.7655i −2.40372 1.00591i
\(709\) 16.7476 + 15.5395i 0.628970 + 0.583599i 0.928885 0.370367i \(-0.120768\pi\)
−0.299916 + 0.953966i \(0.596959\pi\)
\(710\) −46.9328 + 58.8518i −1.76136 + 2.20867i
\(711\) 26.1846 + 14.0836i 0.982001 + 0.528176i
\(712\) 37.7008 + 8.60497i 1.41290 + 0.322485i
\(713\) −30.0927 27.9220i −1.12698 1.04569i
\(714\) −28.5006 + 4.45095i −1.06661 + 0.166573i
\(715\) 38.9797 36.1679i 1.45776 1.35260i
\(716\) −24.9542 + 14.4073i −0.932583 + 0.538427i
\(717\) 15.7922 18.9199i 0.589769 0.706577i
\(718\) 34.2846 + 10.5754i 1.27949 + 0.394670i
\(719\) 13.1001 + 6.30869i 0.488552 + 0.235274i 0.661908 0.749585i \(-0.269747\pi\)
−0.173356 + 0.984859i \(0.555461\pi\)
\(720\) 0.295570 + 9.80817i 0.0110153 + 0.365529i
\(721\) 20.1764 + 0.951895i 0.751407 + 0.0354504i
\(722\) 3.04235 + 20.1847i 0.113225 + 0.751196i
\(723\) 1.88145 + 35.8295i 0.0699718 + 1.33251i
\(724\) 4.94073 + 1.93909i 0.183621 + 0.0720658i
\(725\) 30.3026 2.27086i 1.12541 0.0843378i
\(726\) 2.68320 + 0.893759i 0.0995827 + 0.0331705i
\(727\) 16.0129 + 1.20000i 0.593885 + 0.0445055i 0.368283 0.929714i \(-0.379946\pi\)
0.225603 + 0.974219i \(0.427565\pi\)
\(728\) −39.6217 + 28.6500i −1.46848 + 1.06184i
\(729\) 2.43689 + 26.8898i 0.0902551 + 0.995919i
\(730\) −21.5272 + 10.3669i −0.796756 + 0.383697i
\(731\) 10.1098 + 9.38048i 0.373923 + 0.346950i
\(732\) −4.33213 4.20355i −0.160120 0.155368i
\(733\) −2.50860 0.984551i −0.0926571 0.0363652i 0.318560 0.947903i \(-0.396801\pi\)
−0.411217 + 0.911538i \(0.634896\pi\)
\(734\) −33.8725 58.6689i −1.25026 2.16551i
\(735\) −9.26269 + 33.9669i −0.341660 + 1.25289i
\(736\) 17.9385 31.0704i 0.661223 1.14527i
\(737\) −15.2209 + 12.1382i −0.560668 + 0.447118i
\(738\) −60.4447 26.8968i −2.22500 0.990084i
\(739\) 2.46825 10.8141i 0.0907961 0.397804i −0.909025 0.416743i \(-0.863172\pi\)
0.999821 + 0.0189388i \(0.00602876\pi\)
\(740\) 0.0313778 0.418707i 0.00115347 0.0153920i
\(741\) 12.2968 + 27.0648i 0.451734 + 0.994252i
\(742\) 1.50829 0.778451i 0.0553712 0.0285778i
\(743\) −4.64994 + 6.82022i −0.170590 + 0.250209i −0.902007 0.431720i \(-0.857907\pi\)
0.731418 + 0.681930i \(0.238859\pi\)
\(744\) −28.6011 + 5.85917i −1.04857 + 0.214808i
\(745\) 11.0754 + 16.2447i 0.405772 + 0.595158i
\(746\) −22.7324 + 18.1285i −0.832293 + 0.663732i
\(747\) 1.34862 0.576755i 0.0493433 0.0211024i
\(748\) 24.9988 19.9359i 0.914046 0.728928i
\(749\) −4.33760 + 35.3941i −0.158493 + 1.29327i
\(750\) 13.8016 12.2438i 0.503962 0.447082i
\(751\) 0.519116 + 6.92712i 0.0189428 + 0.252774i 0.998634 + 0.0522596i \(0.0166423\pi\)
−0.979691 + 0.200515i \(0.935739\pi\)
\(752\) −3.69881 + 3.43199i −0.134882 + 0.125152i
\(753\) 17.4529 6.40369i 0.636018 0.233363i
\(754\) −96.0541 55.4568i −3.49808 2.01962i
\(755\) 1.27026 + 5.56537i 0.0462295 + 0.202545i
\(756\) −5.25634 47.4855i −0.191171 1.72703i
\(757\) 0.290071 1.27088i 0.0105428 0.0461910i −0.969383 0.245554i \(-0.921030\pi\)
0.979926 + 0.199363i \(0.0638873\pi\)
\(758\) −16.5717 + 17.8601i −0.601912 + 0.648707i
\(759\) −15.7379 + 47.2475i −0.571250 + 1.71498i
\(760\) −31.7723 4.78891i −1.15250 0.173712i
\(761\) −13.3830 + 4.12810i −0.485132 + 0.149643i −0.527667 0.849452i \(-0.676933\pi\)
0.0425346 + 0.999095i \(0.486457\pi\)
\(762\) 28.8835 69.0199i 1.04634 2.50033i
\(763\) −5.58676 + 15.4805i −0.202254 + 0.560432i
\(764\) 73.0131 16.6648i 2.64152 0.602910i
\(765\) 22.0635 + 7.90094i 0.797706 + 0.285659i
\(766\) 70.7616i 2.55672i
\(767\) −18.1780 + 58.9318i −0.656371 + 2.12790i
\(768\) −16.1635 35.5753i −0.583250 1.28371i
\(769\) 0.145296 0.963977i 0.00523951 0.0347619i −0.986058 0.166400i \(-0.946786\pi\)
0.991298 + 0.131638i \(0.0420237\pi\)
\(770\) −15.3342 59.5427i −0.552606 2.14577i
\(771\) −0.357902 + 16.0202i −0.0128895 + 0.576954i
\(772\) −28.3277 8.73794i −1.01954 0.314485i
\(773\) 3.1486