Properties

Label 441.2.bh.a.104.48
Level $441$
Weight $2$
Character 441.104
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 104.48
Character \(\chi\) \(=\) 441.104
Dual form 441.2.bh.a.335.48

$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\) \(e\left(\frac{5}{6}\right)\)

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 −0.432213 0.901771i \(-0.642267\pi\)
0.678813 0.734311i \(-0.262495\pi\)
\(3\) −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 −0.964907 0.262593i \(-0.915422\pi\)
−0.108079 + 0.994142i \(0.534470\pi\)
\(6\) −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 0.770402 + 0.637559i \(0.220056\pi\)
−0.924099 + 0.382154i \(0.875182\pi\)
\(12\) 2.73208 + 5.36338i 0.788684 + 1.54827i
\(13\) −4.98389 + 1.95603i −1.38228 + 0.542506i −0.935878 0.352324i \(-0.885391\pi\)
−0.446406 + 0.894831i \(0.647296\pi\)
\(14\) −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 0.848997 + 0.528398i \(0.177207\pi\)
−0.994183 + 0.107705i \(0.965650\pi\)
\(18\) 6.90665 + 1.25484i 1.62791 + 0.295769i
\(19\) 3.20566i 0.735430i −0.929939 0.367715i \(-0.880140\pi\)
0.929939 0.367715i \(-0.119860\pi\)
\(20\) 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 −0.201794 0.979428i \(-0.564677\pi\)
0.718461 0.695567i \(-0.244847\pi\)
\(24\) 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 0.786459 + 0.617643i \(0.211912\pi\)
−0.301872 + 0.953348i \(0.597612\pi\)
\(30\) 4.05387 11.0486i 0.740131 2.01718i
\(31\) −4.22906 2.44165i −0.759561 0.438533i 0.0695768 0.997577i \(-0.477835\pi\)
−0.829138 + 0.559044i \(0.811168\pi\)
\(32\) −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 −0.975683 0.219185i \(-0.929660\pi\)
0.974161 + 0.225854i \(0.0725172\pi\)
\(38\) −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 −0.989458 0.144822i \(-0.953739\pi\)
−0.226678 + 0.973970i \(0.572787\pi\)
\(42\) 0.744428 + 10.6969i 0.114868 + 1.65057i
\(43\) −4.23577 2.88790i −0.645949 0.440400i 0.195525 0.980699i \(-0.437359\pi\)
−0.841473 + 0.540298i \(0.818311\pi\)
\(44\) 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 −0.182194 0.983263i \(-0.558320\pi\)
−0.463921 + 0.885876i \(0.653558\pi\)
\(48\) −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 −0.240839 0.970565i \(-0.577423\pi\)
0.204124 + 0.978945i \(0.434566\pi\)
\(54\) −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 0.603769 + 0.797159i \(0.293665\pi\)
−0.715836 + 0.698269i \(0.753954\pi\)
\(60\) −15.3284 8.39907i −1.97889 1.08431i
\(61\) 0.295596 + 0.958300i 0.0378472 + 0.122698i 0.972525 0.232798i \(-0.0747882\pi\)
−0.934678 + 0.355496i \(0.884312\pi\)
\(62\) −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 −0.985841 0.167684i \(-0.946371\pi\)
0.638139 + 0.769921i \(0.279704\pi\)
\(68\) 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 −0.808580 0.588386i \(-0.799764\pi\)
−0.473215 + 0.880947i \(0.656906\pi\)
\(72\) −9.19012 4.77192i −1.08307 0.562377i
\(73\) −2.74928 + 2.19247i −0.321778 + 0.256610i −0.771035 0.636793i \(-0.780260\pi\)
0.449256 + 0.893403i \(0.351689\pi\)
\(74\) 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 −0.997703 0.0677396i \(-0.978421\pi\)
0.440187 0.897906i \(-0.354912\pi\)
\(80\) −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 −0.920735 0.390188i \(-0.872410\pi\)
0.940342 + 0.340231i \(0.110505\pi\)
\(84\) 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 0.258881 0.965909i \(-0.416646\pi\)
−0.999298 + 0.0374552i \(0.988075\pi\)
\(90\) −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 −0.207159 0.978307i \(-0.566422\pi\)
0.743660 + 0.668559i \(0.233088\pi\)
\(98\) −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 −0.963259 0.268573i \(-0.913448\pi\)
0.912472 0.409140i \(-0.134171\pi\)
\(102\) −4.20893 10.0576i −0.416746 0.995854i
\(103\) 4.30063 + 6.30786i 0.423753 + 0.621532i 0.977445 0.211190i \(-0.0677338\pi\)
−0.553692 + 0.832722i \(0.686781\pi\)
\(104\) 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 0.0363182 0.999340i \(-0.488437\pi\)
0.982366 + 0.186966i \(0.0598656\pi\)
\(108\) −16.3297 + 7.70787i −1.57133 + 0.741690i
\(109\) 3.87839 4.86335i 0.371482 0.465824i −0.560592 0.828092i \(-0.689426\pi\)
0.932074 + 0.362268i \(0.117998\pi\)
\(110\) −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 −0.999741 0.0227610i \(-0.992754\pi\)
0.948616 0.316429i \(-0.102484\pi\)
\(114\) 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 −0.377034 0.926199i \(-0.623056\pi\)
0.741559 0.670888i \(-0.234087\pi\)
\(128\) 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 −0.786509 0.617579i \(-0.788114\pi\)
0.869769 0.493458i \(-0.164267\pi\)
\(132\) −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 −0.772998 0.634409i \(-0.781244\pi\)
0.872962 + 0.487788i \(0.162196\pi\)
\(138\) 10.7670 + 32.3240i 0.916544 + 2.75160i
\(139\) 2.48265 + 3.64137i 0.210575 + 0.308857i 0.916966 0.398965i \(-0.130630\pi\)
−0.706391 + 0.707822i \(0.749678\pi\)
\(140\) 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 −0.609176 0.793035i \(-0.708500\pi\)
0.0928434 + 0.995681i \(0.470404\pi\)
\(150\) 3.39753 + 13.4893i 0.277407 + 1.10140i
\(151\) −1.44106 + 1.33711i −0.117272 + 0.108813i −0.736629 0.676297i \(-0.763584\pi\)
0.619357 + 0.785109i \(0.287393\pi\)
\(152\) 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 −0.216879 0.976198i \(-0.569588\pi\)
−0.359952 + 0.932971i \(0.617207\pi\)
\(158\) −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 −0.934079 0.357066i \(-0.883777\pi\)
−0.303223 + 0.952920i \(0.598063\pi\)
\(164\) 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 0.704670 0.709535i \(-0.251095\pi\)
−0.654891 + 0.755724i \(0.727285\pi\)
\(168\) 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 −0.811954 0.583721i \(-0.801596\pi\)
0.521412 + 0.853305i \(0.325406\pi\)
\(174\) −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 0.513671 0.857987i \(-0.328285\pi\)
0.0905351 + 0.995893i \(0.471142\pi\)
\(180\) 8.04797 + 29.1846i 0.599860 + 2.17529i
\(181\) −1.19410 + 0.952260i −0.0887565 + 0.0707809i −0.666863 0.745181i \(-0.732363\pi\)
0.578106 + 0.815961i \(0.303792\pi\)
\(182\) 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 −0.824280 0.566183i \(-0.808420\pi\)
−0.730688 + 0.682712i \(0.760801\pi\)
\(192\) 2.69052 21.0272i 0.194171 1.51750i
\(193\) 7.04821 4.80539i 0.507342 0.345900i −0.282443 0.959284i \(-0.591145\pi\)
0.789784 + 0.613384i \(0.210192\pi\)
\(194\) −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 \(0.217294\pi\)
−0.775905 + 0.630850i \(0.782706\pi\)
\(198\) −7.76458 + 22.7187i −0.551805 + 1.61454i
\(199\) 6.45938 13.4130i 0.457893 0.950826i −0.536382 0.843976i \(-0.680209\pi\)
0.994275 0.106850i \(-0.0340765\pi\)
\(200\) 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 −0.649888 0.760030i \(-0.725184\pi\)
−0.396992 + 0.917822i \(0.629946\pi\)
\(212\) 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 0.918537 0.395334i \(-0.129371\pi\)
−0.462871 + 0.886426i \(0.653181\pi\)
\(224\) 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 0.678524 0.734578i \(-0.262620\pi\)
−0.975425 + 0.220330i \(0.929287\pi\)
\(228\) 17.1932 8.75814i 1.13865 0.580022i
\(229\) 13.1491 + 0.985386i 0.868914 + 0.0651161i 0.501722 0.865029i \(-0.332700\pi\)
0.367192 + 0.930145i \(0.380319\pi\)
\(230\) 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 −0.396250 0.918143i \(-0.629689\pi\)
−0.755376 + 0.655291i \(0.772546\pi\)
\(234\) −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 −0.392550 0.919731i \(-0.628407\pi\)
−0.525245 + 0.850951i \(0.676026\pi\)
\(240\) 3.94519 + 4.06587i 0.254661 + 0.262451i
\(241\) 14.0896 + 15.1849i 0.907589 + 0.978148i 0.999845 0.0175872i \(-0.00559845\pi\)
−0.0922565 + 0.995735i \(0.529408\pi\)
\(242\) −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 −0.713426 0.700730i \(-0.752858\pi\)
0.103039 + 0.994677i \(0.467143\pi\)
\(252\) −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 0.862763 0.505608i \(-0.168732\pi\)
−0.439720 + 0.898135i \(0.644922\pi\)
\(258\) 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 −0.748691 0.662919i \(-0.769317\pi\)
0.199759 + 0.979845i \(0.435984\pi\)
\(264\) 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 0.463961 0.885856i \(-0.346428\pi\)
−0.966886 + 0.255207i \(0.917856\pi\)
\(270\) 32.7643 + 13.1545i 1.99397 + 0.800556i
\(271\) 13.2632 3.02724i 0.805683 0.183892i 0.200205 0.979754i \(-0.435839\pi\)
0.605478 + 0.795862i \(0.292982\pi\)
\(272\) −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 0.111092 0.993810i \(-0.464565\pi\)
0.651621 + 0.758544i \(0.274089\pi\)
\(278\) 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 −0.822241 0.569139i \(-0.807277\pi\)
0.953468 0.301494i \(-0.0974852\pi\)
\(282\) 16.1771 8.24052i 0.963329 0.490716i
\(283\) 0.962840 0.377887i 0.0572349 0.0224630i −0.336551 0.941665i \(-0.609260\pi\)
0.393786 + 0.919202i \(0.371165\pi\)
\(284\) 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 −0.503590 0.863943i \(-0.667988\pi\)
0.999991 + 0.00415008i \(0.00132101\pi\)
\(294\) 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 0.714036 0.700109i \(-0.246865\pi\)
−0.523668 + 0.851922i \(0.675437\pi\)
\(308\) −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 0.891589 + 0.452846i \(0.149591\pi\)
0.518208 + 0.855254i \(0.326599\pi\)
\(312\) −24.5738 + 20.5114i −1.39122 + 1.16123i
\(313\) −1.99744 + 1.15322i −0.112902 + 0.0651839i −0.555388 0.831592i \(-0.687430\pi\)
0.442486 + 0.896776i \(0.354097\pi\)
\(314\) −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 0.774391 0.632708i \(-0.218057\pi\)
−0.688809 + 0.724943i \(0.741866\pi\)
\(318\) 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 −0.832741 0.553662i \(-0.813230\pi\)
−0.376154 + 0.926557i \(0.622754\pi\)
\(332\) −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 0.802328 + 0.596884i \(0.203595\pi\)
−0.882327 + 0.470636i \(0.844024\pi\)
\(338\) −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 −0.952937 0.303169i \(-0.901955\pi\)
0.958135 + 0.286318i \(0.0924314\pi\)
\(348\) −38.2448 + 37.1097i −2.05014 + 1.98929i
\(349\) 15.9264 23.3597i 0.852519 1.25042i −0.113912 0.993491i \(-0.536338\pi\)
0.966431 0.256925i \(-0.0827093\pi\)
\(350\) −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 0.411017 0.911628i \(-0.365174\pi\)
−0.698449 + 0.715660i \(0.746126\pi\)
\(354\) −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 0.999481 0.0322175i \(-0.0102569\pi\)
−0.648355 + 0.761338i \(0.724543\pi\)
\(360\) 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 −0.464115 0.885775i \(-0.653628\pi\)
−0.942700 + 0.333641i \(0.891723\pi\)
\(368\) 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 −0.659140 0.752021i \(-0.729079\pi\)
0.980839 + 0.194821i \(0.0624127\pi\)
\(374\) −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 −0.586620 0.809862i \(-0.699542\pi\)
0.920093 + 0.391701i \(0.128113\pi\)
\(380\) −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 0.669377 0.742923i \(-0.266561\pi\)
0.858619 + 0.512615i \(0.171323\pi\)
\(384\) −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 0.474491 0.880260i \(-0.342632\pi\)
0.600388 + 0.799709i \(0.295013\pi\)
\(390\) 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 −0.997544 0.0700399i \(-0.977687\pi\)
0.676718 + 0.736242i \(0.263402\pi\)
\(398\) −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 0.858215 + 0.513290i \(0.171573\pi\)
−0.668793 + 0.743449i \(0.733189\pi\)
\(402\) −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 −0.994269 0.106912i \(-0.965904\pi\)
0.180915 + 0.983499i \(0.442094\pi\)
\(410\) −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 −0.605918 0.795527i \(-0.707194\pi\)
−0.948769 + 0.315969i \(0.897670\pi\)
\(420\) −40.1711 + 22.9087i −1.96015 + 1.11783i
\(421\) −32.7509 + 10.1023i −1.59618 + 0.492357i −0.960192 0.279341i \(-0.909884\pi\)
−0.635989 + 0.771698i \(0.719408\pi\)
\(422\) 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 0.979165 0.203065i \(-0.0650902\pi\)
−0.769262 + 0.638934i \(0.779376\pi\)
\(432\) 5.79416 0.827226i 0.278772 0.0397999i
\(433\) −6.13626 + 12.7421i −0.294890 + 0.612345i −0.994796 0.101890i \(-0.967511\pi\)
0.699906 + 0.714235i \(0.253225\pi\)
\(434\) 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 −0.766389 0.642377i \(-0.777948\pi\)
0.921684 0.387941i \(-0.126813\pi\)
\(440\) 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 0.377338 + 0.926076i \(0.376840\pi\)
−0.633539 + 0.773711i \(0.718399\pi\)
\(444\) −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 −0.841135 0.540826i \(-0.818112\pi\)
0.947273 + 0.320426i \(0.103826\pi\)
\(450\) 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 0.763498 0.645810i \(-0.223480\pi\)
−0.322230 + 0.946661i \(0.604432\pi\)
\(458\) 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 −0.675066 0.737757i \(-0.735885\pi\)
−0.142172 + 0.989842i \(0.545409\pi\)
\(462\) −36.5565 2.93515i −1.70076 0.136556i
\(463\) 29.2855 + 9.03337i 1.36101 + 0.419817i 0.887434 0.460935i \(-0.152486\pi\)
0.473578 + 0.880752i \(0.342962\pi\)
\(464\) −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 −0.979205 0.202875i \(-0.934972\pi\)
0.794209 0.607645i \(-0.207886\pi\)
\(468\) 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 0.861883 0.507107i \(-0.169285\pi\)
0.674119 + 0.738622i \(0.264523\pi\)
\(480\) −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 −0.420032 0.907509i \(-0.637981\pi\)
−0.971405 + 0.237428i \(0.923695\pi\)
\(488\) −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 0.202410 0.979301i \(-0.435123\pi\)
−0.746895 + 0.664942i \(0.768456\pi\)
\(492\) −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 −0.291970 0.956427i \(-0.594311\pi\)
0.00291301 + 0.999996i \(0.499073\pi\)
\(500\) −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 −0.579655 0.814862i \(-0.696813\pi\)
0.923417 + 0.383798i \(0.125384\pi\)
\(504\) −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 −0.00130794 0.999999i \(-0.500416\pi\)
0.866679 0.498867i \(-0.166250\pi\)
\(510\) 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 0.747606 0.664143i \(-0.231203\pi\)
−0.985372 + 0.170416i \(0.945489\pi\)
\(524\) −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 0.204839 + 0.978796i \(0.434333\pi\)
−0.999836 + 0.0180996i \(0.994238\pi\)
\(542\) −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 0.997339 + 0.0728971i \(0.0232245\pi\)
−0.975335 + 0.220729i \(0.929156\pi\)
\(548\) −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 \(-0.872527\pi\)
0.920879 0.389849i \(-0.127473\pi\)
\(558\) −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 −0.540203 0.841535i \(-0.681653\pi\)
−0.268157 + 0.963375i \(0.586415\pi\)
\(564\) −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 −0.903760 0.428040i \(-0.859204\pi\)
−0.0811860 + 0.996699i \(0.525871\pi\)
\(570\) −35.4180 12.9953i −1.48350 0.544315i
\(571\) −5.63700 5.23037i −0.235901 0.218884i 0.553360 0.832942i \(-0.313346\pi\)
−0.789261 + 0.614058i \(0.789536\pi\)
\(572\) −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 0.911681 + 0.410899i \(0.134785\pi\)
0.603465 + 0.797389i \(0.293786\pi\)
\(578\) 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 0.730712 0.682686i \(-0.239188\pi\)
−0.956579 + 0.291472i \(0.905855\pi\)
\(588\) 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 −0.436029 0.899933i \(-0.643615\pi\)
−0.975455 + 0.220198i \(0.929330\pi\)
\(594\) 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 0.0775847 0.996986i \(-0.475279\pi\)
0.734996 + 0.678071i \(0.237184\pi\)
\(600\) 1.07606 20.4921i 0.0439300 0.836585i
\(601\) −2.90148 + 19.2501i −0.118354 + 0.785227i 0.848370 + 0.529404i \(0.177584\pi\)
−0.966724 + 0.255823i \(0.917654\pi\)
\(602\) 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 0.114997 0.993366i \(-0.463314\pi\)
−0.802781 + 0.596273i \(0.796647\pi\)
\(608\) 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 0.991242 0.132055i \(-0.0421576\pi\)
−0.349317 + 0.937005i \(0.613586\pi\)
\(614\) 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 −0.112127 + 0.993694i \(0.535766\pi\)
−0.982536 + 0.186072i \(0.940424\pi\)
\(618\) −29.0475 10.6579i −1.16846 0.428724i
\(619\) −31.2465 + 18.0402i −1.25590 + 0.725096i −0.972275 0.233839i \(-0.924871\pi\)
−0.283627 + 0.958935i \(0.591538\pi\)
\(620\) −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 0.150337 0.988635i \(-0.451964\pi\)
0.866679 + 0.498865i \(0.166250\pi\)
\(632\) 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 0.537873 0.843026i \(-0.319228\pi\)
−0.880864 + 0.473369i \(0.843038\pi\)
\(642\) −14.9306 + 52.5430i −0.589266 + 2.07371i
\(643\) −32.3279 2.42264i −1.27489 0.0955397i −0.579976 0.814634i \(-0.696938\pi\)
−0.694913 + 0.719094i \(0.744557\pi\)
\(644\) 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 −0.202769 0.979227i \(-0.564994\pi\)
0.639165 + 0.769069i \(0.279280\pi\)
\(648\) 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 −0.248724 0.968574i \(-0.580011\pi\)
−0.390304 + 0.920686i \(0.627630\pi\)
\(654\) −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 0.981518 0.191369i \(-0.0612928\pi\)
−0.264183 + 0.964473i \(0.585102\pi\)
\(660\) 36.2194 47.5592i 1.40984 1.85124i
\(661\) 1.83820 + 12.1957i 0.0714979 + 0.474357i 0.995714 + 0.0924872i \(0.0294817\pi\)
−0.924216 + 0.381870i \(0.875280\pi\)
\(662\) 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 0.713162 0.701000i \(-0.247263\pi\)
0.474855 + 0.880064i \(0.342501\pi\)
\(674\) 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 −0.999932 0.0116295i \(-0.996298\pi\)
0.740912 + 0.671602i \(0.234393\pi\)
\(678\) 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 0.193307 + 0.981138i \(0.438079\pi\)
−0.887610 + 0.460596i \(0.847636\pi\)
\(684\) −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 −0.00711049 0.999975i \(-0.502263\pi\)
0.142007 + 0.989866i \(0.454644\pi\)
\(692\) 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 −0.624971 0.780648i \(-0.714889\pi\)
0.622006 + 0.783012i \(0.286318\pi\)
\(702\) 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 −0.299916 0.953966i \(-0.596959\pi\)
0.928885 + 0.370367i \(0.120768\pi\)
\(710\) −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 −0.173356 0.984859i \(-0.555461\pi\)
0.661908 + 0.749585i \(0.269747\pi\)
\(720\) 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 0.225603 0.974219i \(-0.427565\pi\)
0.368283 + 0.929714i \(0.379946\pi\)
\(728\) −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 −0.411217 0.911538i \(-0.634896\pi\)
0.318560 + 0.947903i \(0.396801\pi\)
\(734\) −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 0.999821 0.0189388i \(-0.00602876\pi\)
−0.909025 + 0.416743i \(0.863172\pi\)
\(740\) 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 0.731418 0.681930i \(-0.238859\pi\)
−0.902007 + 0.431720i \(0.857907\pi\)
\(744\) −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 −0.979691 0.200515i \(-0.935739\pi\)
0.998634 0.0522596i \(-0.0166423\pi\)
\(752\) −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 0.979926 0.199363i \(-0.0638873\pi\)
−0.969383 + 0.245554i \(0.921030\pi\)
\(758\) −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 0.0425346 0.999095i \(-0.486457\pi\)
−0.527667 + 0.849452i \(0.676933\pi\)
\(762\) 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 0.991298 0.131638i \(-0.0420237\pi\)
−0.986058 + 0.166400i \(0.946786\pi\)
\(770\) −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