Properties

Label 483.2.y.a.4.12
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.618045 - 0.867923i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(0.282825 + 0.817169i) q^{4} +(0.184708 - 3.87751i) q^{5} +(0.697748 + 0.805244i) q^{6} +(0.447567 + 2.60762i) q^{7} +(2.92870 + 0.859944i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.618045 - 0.867923i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(0.282825 + 0.817169i) q^{4} +(0.184708 - 3.87751i) q^{5} +(0.697748 + 0.805244i) q^{6} +(0.447567 + 2.60762i) q^{7} +(2.92870 + 0.859944i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-3.25122 - 2.55679i) q^{10} +(1.22931 + 1.72632i) q^{11} +(-0.860813 + 0.0821977i) q^{12} +(0.563532 - 3.91945i) q^{13} +(2.53983 + 1.22317i) q^{14} +(3.72466 + 1.09366i) q^{15} +(1.19699 - 0.941324i) q^{16} +(4.35346 - 0.839060i) q^{17} +(-0.947046 + 0.488236i) q^{18} +(0.791694 + 0.152586i) q^{19} +(3.22082 - 0.945718i) q^{20} +(-2.63963 - 0.179819i) q^{21} +2.25809 q^{22} +(4.18453 + 2.34301i) q^{23} +(-1.52617 + 2.64341i) q^{24} +(-10.0236 - 0.957135i) q^{25} +(-3.05350 - 2.91150i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-2.00428 + 1.10324i) q^{28} +(-1.96210 - 2.26439i) q^{29} +(3.25122 - 2.55679i) q^{30} +(-2.04075 + 1.94585i) q^{31} +(0.213270 + 4.47709i) q^{32} +(-1.96748 + 0.787661i) q^{33} +(1.96240 - 4.29705i) q^{34} +(10.1937 - 1.25380i) q^{35} +(0.123064 - 0.855927i) q^{36} +(-0.703388 - 0.362622i) q^{37} +(0.621736 - 0.592824i) q^{38} +(3.67611 + 1.47169i) q^{39} +(3.87539 - 11.1972i) q^{40} +(1.18935 + 0.764350i) q^{41} +(-1.78748 + 2.17986i) q^{42} +(8.48447 - 2.49126i) q^{43} +(-1.06302 + 1.49280i) q^{44} +(-1.94095 + 3.36183i) q^{45} +(4.61979 - 2.18376i) q^{46} +(-2.08992 - 3.61984i) q^{47} +(0.632588 + 1.38518i) q^{48} +(-6.59937 + 2.33417i) q^{49} +(-7.02574 + 8.10814i) q^{50} +(-0.210958 + 4.42856i) q^{51} +(3.36224 - 0.648019i) q^{52} +(-8.04033 - 3.21886i) q^{53} +(-0.251199 - 1.03546i) q^{54} +(6.92089 - 4.44779i) q^{55} +(-0.931617 + 8.02182i) q^{56} +(-0.334934 + 0.733403i) q^{57} +(-3.17798 + 0.303460i) q^{58} +(-3.16170 - 2.48638i) q^{59} +(0.159723 + 3.35299i) q^{60} +(1.45920 + 6.01490i) q^{61} +(0.427574 + 2.97384i) q^{62} +(0.797067 - 2.52283i) q^{63} +(6.57968 + 4.22851i) q^{64} +(-15.0936 - 2.90906i) q^{65} +(-0.532364 + 2.19443i) q^{66} +(-13.7539 - 1.31334i) q^{67} +(1.91692 + 3.32021i) q^{68} +(-3.26351 + 3.51419i) q^{69} +(5.21199 - 9.62228i) q^{70} +(-1.59944 - 3.50228i) q^{71} +(-2.20908 - 2.10636i) q^{72} +(2.58570 + 7.47089i) q^{73} +(-0.749454 + 0.386370i) q^{74} +(3.29330 - 9.51537i) q^{75} +(0.0992219 + 0.690103i) q^{76} +(-3.95140 + 3.97822i) q^{77} +(3.54932 - 2.28101i) q^{78} +(-15.4595 + 6.18904i) q^{79} +(-3.42890 - 4.81521i) q^{80} +(0.580057 + 0.814576i) q^{81} +(1.39847 - 0.559863i) q^{82} +(-12.4761 + 8.01790i) q^{83} +(-0.599612 - 2.20789i) q^{84} +(-2.44934 - 17.0355i) q^{85} +(3.08156 - 8.90358i) q^{86} +(2.66314 - 1.37294i) q^{87} +(2.11574 + 6.11303i) q^{88} +(6.09321 + 5.80987i) q^{89} +(1.71821 + 3.76236i) q^{90} +(10.4727 - 0.284741i) q^{91} +(-0.731150 + 4.08213i) q^{92} +(-1.40988 - 2.44198i) q^{93} +(-4.43341 - 0.423339i) q^{94} +(0.737887 - 3.04161i) q^{95} +(-4.40117 - 0.848256i) q^{96} +(-8.72867 - 5.60958i) q^{97} +(-2.05283 + 7.17037i) q^{98} +(-0.301607 - 2.09772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.618045 0.867923i 0.437024 0.613715i −0.536056 0.844183i \(-0.680086\pi\)
0.973080 + 0.230468i \(0.0740257\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) 0.282825 + 0.817169i 0.141413 + 0.408585i
\(5\) 0.184708 3.87751i 0.0826041 1.73407i −0.454665 0.890662i \(-0.650241\pi\)
0.537269 0.843411i \(-0.319456\pi\)
\(6\) 0.697748 + 0.805244i 0.284855 + 0.328740i
\(7\) 0.447567 + 2.60762i 0.169165 + 0.985588i
\(8\) 2.92870 + 0.859944i 1.03545 + 0.304036i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −3.25122 2.55679i −1.02813 0.808527i
\(11\) 1.22931 + 1.72632i 0.370651 + 0.520506i 0.957208 0.289402i \(-0.0934564\pi\)
−0.586557 + 0.809908i \(0.699517\pi\)
\(12\) −0.860813 + 0.0821977i −0.248495 + 0.0237284i
\(13\) 0.563532 3.91945i 0.156296 1.08706i −0.749089 0.662469i \(-0.769509\pi\)
0.905385 0.424592i \(-0.139582\pi\)
\(14\) 2.53983 + 1.22317i 0.678799 + 0.326907i
\(15\) 3.72466 + 1.09366i 0.961703 + 0.282381i
\(16\) 1.19699 0.941324i 0.299248 0.235331i
\(17\) 4.35346 0.839060i 1.05587 0.203502i 0.368364 0.929682i \(-0.379918\pi\)
0.687505 + 0.726180i \(0.258706\pi\)
\(18\) −0.947046 + 0.488236i −0.223221 + 0.115078i
\(19\) 0.791694 + 0.152586i 0.181627 + 0.0350057i 0.279254 0.960217i \(-0.409913\pi\)
−0.0976266 + 0.995223i \(0.531125\pi\)
\(20\) 3.22082 0.945718i 0.720197 0.211469i
\(21\) −2.63963 0.179819i −0.576015 0.0392397i
\(22\) 2.25809 0.481426
\(23\) 4.18453 + 2.34301i 0.872535 + 0.488552i
\(24\) −1.52617 + 2.64341i −0.311528 + 0.539583i
\(25\) −10.0236 0.957135i −2.00471 0.191427i
\(26\) −3.05350 2.91150i −0.598840 0.570993i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) −2.00428 + 1.10324i −0.378774 + 0.208493i
\(29\) −1.96210 2.26439i −0.364353 0.420486i 0.543740 0.839253i \(-0.317008\pi\)
−0.908093 + 0.418768i \(0.862462\pi\)
\(30\) 3.25122 2.55679i 0.593589 0.466803i
\(31\) −2.04075 + 1.94585i −0.366530 + 0.349485i −0.850853 0.525404i \(-0.823914\pi\)
0.484323 + 0.874889i \(0.339066\pi\)
\(32\) 0.213270 + 4.47709i 0.0377012 + 0.791446i
\(33\) −1.96748 + 0.787661i −0.342495 + 0.137114i
\(34\) 1.96240 4.29705i 0.336548 0.736937i
\(35\) 10.1937 1.25380i 1.72306 0.211930i
\(36\) 0.123064 0.855927i 0.0205106 0.142655i
\(37\) −0.703388 0.362622i −0.115636 0.0596147i 0.399438 0.916760i \(-0.369205\pi\)
−0.515074 + 0.857146i \(0.672236\pi\)
\(38\) 0.621736 0.592824i 0.100859 0.0961688i
\(39\) 3.67611 + 1.47169i 0.588649 + 0.235660i
\(40\) 3.87539 11.1972i 0.612754 1.77044i
\(41\) 1.18935 + 0.764350i 0.185746 + 0.119371i 0.630209 0.776426i \(-0.282969\pi\)
−0.444463 + 0.895797i \(0.646606\pi\)
\(42\) −1.78748 + 2.17986i −0.275815 + 0.336360i
\(43\) 8.48447 2.49126i 1.29387 0.379914i 0.438873 0.898549i \(-0.355378\pi\)
0.854996 + 0.518635i \(0.173560\pi\)
\(44\) −1.06302 + 1.49280i −0.160256 + 0.225048i
\(45\) −1.94095 + 3.36183i −0.289340 + 0.501151i
\(46\) 4.61979 2.18376i 0.681150 0.321978i
\(47\) −2.08992 3.61984i −0.304846 0.528009i 0.672381 0.740205i \(-0.265272\pi\)
−0.977227 + 0.212197i \(0.931938\pi\)
\(48\) 0.632588 + 1.38518i 0.0913063 + 0.199933i
\(49\) −6.59937 + 2.33417i −0.942767 + 0.333453i
\(50\) −7.02574 + 8.10814i −0.993590 + 1.14666i
\(51\) −0.210958 + 4.42856i −0.0295401 + 0.620122i
\(52\) 3.36224 0.648019i 0.466259 0.0898640i
\(53\) −8.04033 3.21886i −1.10442 0.442145i −0.253448 0.967349i \(-0.581565\pi\)
−0.850976 + 0.525204i \(0.823989\pi\)
\(54\) −0.251199 1.03546i −0.0341839 0.140908i
\(55\) 6.92089 4.44779i 0.933213 0.599740i
\(56\) −0.931617 + 8.02182i −0.124493 + 1.07196i
\(57\) −0.334934 + 0.733403i −0.0443631 + 0.0971417i
\(58\) −3.17798 + 0.303460i −0.417289 + 0.0398463i
\(59\) −3.16170 2.48638i −0.411618 0.323700i 0.390786 0.920482i \(-0.372203\pi\)
−0.802403 + 0.596782i \(0.796446\pi\)
\(60\) 0.159723 + 3.35299i 0.0206201 + 0.432869i
\(61\) 1.45920 + 6.01490i 0.186831 + 0.770129i 0.985684 + 0.168602i \(0.0539254\pi\)
−0.798853 + 0.601526i \(0.794559\pi\)
\(62\) 0.427574 + 2.97384i 0.0543019 + 0.377678i
\(63\) 0.797067 2.52283i 0.100421 0.317847i
\(64\) 6.57968 + 4.22851i 0.822461 + 0.528563i
\(65\) −15.0936 2.90906i −1.87213 0.360824i
\(66\) −0.532364 + 2.19443i −0.0655295 + 0.270116i
\(67\) −13.7539 1.31334i −1.68031 0.160450i −0.789169 0.614177i \(-0.789488\pi\)
−0.891141 + 0.453727i \(0.850094\pi\)
\(68\) 1.91692 + 3.32021i 0.232461 + 0.402634i
\(69\) −3.26351 + 3.51419i −0.392880 + 0.423058i
\(70\) 5.21199 9.62228i 0.622952 1.15008i
\(71\) −1.59944 3.50228i −0.189819 0.415645i 0.790664 0.612250i \(-0.209735\pi\)
−0.980483 + 0.196605i \(0.937008\pi\)
\(72\) −2.20908 2.10636i −0.260343 0.248237i
\(73\) 2.58570 + 7.47089i 0.302633 + 0.874402i 0.989101 + 0.147241i \(0.0470394\pi\)
−0.686467 + 0.727161i \(0.740839\pi\)
\(74\) −0.749454 + 0.386370i −0.0871223 + 0.0449147i
\(75\) 3.29330 9.51537i 0.380278 1.09874i
\(76\) 0.0992219 + 0.690103i 0.0113815 + 0.0791603i
\(77\) −3.95140 + 3.97822i −0.450304 + 0.453360i
\(78\) 3.54932 2.28101i 0.401882 0.258274i
\(79\) −15.4595 + 6.18904i −1.73933 + 0.696321i −0.739597 + 0.673050i \(0.764984\pi\)
−0.999729 + 0.0232714i \(0.992592\pi\)
\(80\) −3.42890 4.81521i −0.383362 0.538357i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 1.39847 0.559863i 0.154435 0.0618266i
\(83\) −12.4761 + 8.01790i −1.36943 + 0.880078i −0.998813 0.0487080i \(-0.984490\pi\)
−0.370616 + 0.928786i \(0.620853\pi\)
\(84\) −0.599612 2.20789i −0.0654231 0.240900i
\(85\) −2.44934 17.0355i −0.265668 1.84776i
\(86\) 3.08156 8.90358i 0.332293 0.960098i
\(87\) 2.66314 1.37294i 0.285518 0.147195i
\(88\) 2.11574 + 6.11303i 0.225539 + 0.651651i
\(89\) 6.09321 + 5.80987i 0.645879 + 0.615845i 0.940510 0.339767i \(-0.110348\pi\)
−0.294631 + 0.955611i \(0.595197\pi\)
\(90\) 1.71821 + 3.76236i 0.181115 + 0.396587i
\(91\) 10.4727 0.284741i 1.09783 0.0298489i
\(92\) −0.731150 + 4.08213i −0.0762277 + 0.425592i
\(93\) −1.40988 2.44198i −0.146197 0.253221i
\(94\) −4.43341 0.423339i −0.457271 0.0436641i
\(95\) 0.737887 3.04161i 0.0757056 0.312063i
\(96\) −4.40117 0.848256i −0.449193 0.0865748i
\(97\) −8.72867 5.60958i −0.886262 0.569566i 0.0164242 0.999865i \(-0.494772\pi\)
−0.902686 + 0.430299i \(0.858408\pi\)
\(98\) −2.05283 + 7.17037i −0.207367 + 0.724317i
\(99\) −0.301607 2.09772i −0.0303126 0.210829i
\(100\) −2.05278 8.46166i −0.205278 0.846166i
\(101\) −0.936805 19.6660i −0.0932155 1.95684i −0.247692 0.968839i \(-0.579672\pi\)
0.154477 0.987996i \(-0.450631\pi\)
\(102\) 3.71327 + 2.92015i 0.367668 + 0.289137i
\(103\) −0.380717 + 0.0363540i −0.0375131 + 0.00358207i −0.113796 0.993504i \(-0.536301\pi\)
0.0762826 + 0.997086i \(0.475695\pi\)
\(104\) 5.02093 10.9943i 0.492343 1.07808i
\(105\) −1.18481 + 10.2020i −0.115626 + 0.995611i
\(106\) −7.76302 + 4.98899i −0.754011 + 0.484573i
\(107\) 2.65421 + 10.9408i 0.256592 + 1.05769i 0.943614 + 0.331049i \(0.107403\pi\)
−0.687022 + 0.726637i \(0.741082\pi\)
\(108\) 0.802787 + 0.321387i 0.0772482 + 0.0309255i
\(109\) −7.03904 + 1.35666i −0.674218 + 0.129945i −0.514858 0.857276i \(-0.672155\pi\)
−0.159360 + 0.987221i \(0.550943\pi\)
\(110\) 0.417087 8.75574i 0.0397677 0.834827i
\(111\) 0.518230 0.598070i 0.0491882 0.0567663i
\(112\) 2.99035 + 2.69999i 0.282561 + 0.255125i
\(113\) 0.186143 + 0.407596i 0.0175109 + 0.0383434i 0.918185 0.396151i \(-0.129654\pi\)
−0.900675 + 0.434494i \(0.856927\pi\)
\(114\) 0.429533 + 0.743974i 0.0402295 + 0.0696795i
\(115\) 9.85797 15.7928i 0.919260 1.47268i
\(116\) 1.29546 2.24379i 0.120280 0.208331i
\(117\) −2.29689 + 3.22552i −0.212347 + 0.298200i
\(118\) −4.11206 + 1.20741i −0.378546 + 0.111151i
\(119\) 4.13642 + 10.9766i 0.379185 + 1.00623i
\(120\) 9.96793 + 6.40600i 0.909943 + 0.584785i
\(121\) 2.12876 6.15064i 0.193523 0.559149i
\(122\) 6.12232 + 2.45101i 0.554289 + 0.221904i
\(123\) −1.02320 + 0.975624i −0.0922593 + 0.0879691i
\(124\) −2.16727 1.11730i −0.194626 0.100337i
\(125\) −2.80047 + 19.4777i −0.250482 + 1.74214i
\(126\) −1.69700 2.25102i −0.151181 0.200537i
\(127\) −8.31256 + 18.2020i −0.737621 + 1.61516i 0.0498085 + 0.998759i \(0.484139\pi\)
−0.787429 + 0.616405i \(0.788588\pi\)
\(128\) −0.585644 + 0.234456i −0.0517641 + 0.0207232i
\(129\) 0.420751 + 8.83264i 0.0370450 + 0.777671i
\(130\) −11.8534 + 11.3022i −1.03961 + 0.991266i
\(131\) 2.48758 1.95626i 0.217341 0.170919i −0.503553 0.863965i \(-0.667974\pi\)
0.720894 + 0.693046i \(0.243732\pi\)
\(132\) −1.20011 1.38500i −0.104456 0.120548i
\(133\) −0.0435513 + 2.13273i −0.00377638 + 0.184931i
\(134\) −9.64043 + 11.1256i −0.832806 + 0.961110i
\(135\) −2.80946 2.67882i −0.241800 0.230556i
\(136\) 13.4715 + 1.28637i 1.15517 + 0.110306i
\(137\) −3.88858 + 6.73522i −0.332224 + 0.575429i −0.982948 0.183886i \(-0.941132\pi\)
0.650724 + 0.759315i \(0.274466\pi\)
\(138\) 1.03305 + 5.00440i 0.0879389 + 0.426003i
\(139\) −12.9032 −1.09443 −0.547216 0.836992i \(-0.684312\pi\)
−0.547216 + 0.836992i \(0.684312\pi\)
\(140\) 3.90761 + 7.97540i 0.330253 + 0.674044i
\(141\) 4.01052 1.17760i 0.337747 0.0991715i
\(142\) −4.02824 0.776380i −0.338042 0.0651523i
\(143\) 7.45900 3.84538i 0.623753 0.321567i
\(144\) −1.49527 + 0.288189i −0.124606 + 0.0240158i
\(145\) −9.14258 + 7.18981i −0.759250 + 0.597081i
\(146\) 8.08224 + 2.37316i 0.668891 + 0.196404i
\(147\) −0.712515 6.96364i −0.0587672 0.574352i
\(148\) 0.0973877 0.677346i 0.00800522 0.0556775i
\(149\) 22.5149 2.14991i 1.84449 0.176127i 0.886462 0.462802i \(-0.153156\pi\)
0.958028 + 0.286674i \(0.0925497\pi\)
\(150\) −6.22320 8.73926i −0.508122 0.713558i
\(151\) 8.80941 + 6.92780i 0.716900 + 0.563776i 0.908595 0.417678i \(-0.137156\pi\)
−0.191695 + 0.981454i \(0.561399\pi\)
\(152\) 2.18742 + 1.12769i 0.177423 + 0.0914680i
\(153\) −4.25399 1.24908i −0.343915 0.100982i
\(154\) 1.01065 + 5.88823i 0.0814401 + 0.474487i
\(155\) 7.16811 + 8.27244i 0.575756 + 0.664458i
\(156\) −0.162926 + 3.42024i −0.0130445 + 0.273838i
\(157\) −4.57135 13.2080i −0.364833 1.05412i −0.966786 0.255586i \(-0.917732\pi\)
0.601953 0.798532i \(-0.294389\pi\)
\(158\) −4.18304 + 17.2427i −0.332785 + 1.37176i
\(159\) 5.02371 7.05481i 0.398406 0.559483i
\(160\) 17.3993 1.37554
\(161\) −4.23683 + 11.9603i −0.333909 + 0.942605i
\(162\) 1.06549 0.0837129
\(163\) 9.41792 13.2256i 0.737668 1.03591i −0.259860 0.965646i \(-0.583676\pi\)
0.997528 0.0702640i \(-0.0223842\pi\)
\(164\) −0.288225 + 1.18808i −0.0225066 + 0.0927735i
\(165\) 2.69075 + 7.77441i 0.209475 + 0.605237i
\(166\) −0.751871 + 15.7837i −0.0583565 + 1.22505i
\(167\) −11.3152 13.0585i −0.875599 1.01049i −0.999834 0.0182419i \(-0.994193\pi\)
0.124235 0.992253i \(-0.460352\pi\)
\(168\) −7.57606 2.79657i −0.584506 0.215760i
\(169\) −2.57114 0.754956i −0.197780 0.0580735i
\(170\) −16.2993 8.40290i −1.25010 0.644473i
\(171\) −0.633766 0.498399i −0.0484653 0.0381135i
\(172\) 4.43540 + 6.22865i 0.338196 + 0.474930i
\(173\) 19.4955 1.86160i 1.48222 0.141535i 0.677645 0.735390i \(-0.263001\pi\)
0.804572 + 0.593855i \(0.202395\pi\)
\(174\) 0.454331 3.15994i 0.0344428 0.239555i
\(175\) −1.99038 26.5661i −0.150458 2.00820i
\(176\) 3.09650 + 0.909215i 0.233408 + 0.0685347i
\(177\) 3.16170 2.48638i 0.237648 0.186888i
\(178\) 8.80840 1.69768i 0.660218 0.127246i
\(179\) 7.55269 3.89368i 0.564514 0.291027i −0.152251 0.988342i \(-0.548652\pi\)
0.716765 + 0.697314i \(0.245622\pi\)
\(180\) −3.29613 0.635277i −0.245679 0.0473508i
\(181\) 1.44961 0.425645i 0.107749 0.0316379i −0.227414 0.973798i \(-0.573027\pi\)
0.335163 + 0.942160i \(0.391209\pi\)
\(182\) 6.22545 9.26546i 0.461461 0.686801i
\(183\) −6.18937 −0.457531
\(184\) 10.2404 + 10.4605i 0.754930 + 0.771155i
\(185\) −1.53599 + 2.66041i −0.112928 + 0.195597i
\(186\) −2.99082 0.285588i −0.219297 0.0209404i
\(187\) 6.80024 + 6.48401i 0.497283 + 0.474158i
\(188\) 2.36694 2.73160i 0.172627 0.199222i
\(189\) 2.26380 + 1.36938i 0.164667 + 0.0996077i
\(190\) −2.18384 2.52028i −0.158432 0.182841i
\(191\) −13.5936 + 10.6902i −0.983601 + 0.773513i −0.974025 0.226441i \(-0.927291\pi\)
−0.00957660 + 0.999954i \(0.503048\pi\)
\(192\) −5.66053 + 5.39730i −0.408514 + 0.389517i
\(193\) 0.456256 + 9.57799i 0.0328420 + 0.689439i 0.953920 + 0.300061i \(0.0970070\pi\)
−0.921078 + 0.389378i \(0.872690\pi\)
\(194\) −10.2634 + 4.10884i −0.736869 + 0.294998i
\(195\) 6.38551 13.9823i 0.457276 1.00129i
\(196\) −3.77388 4.73264i −0.269563 0.338046i
\(197\) 3.27123 22.7519i 0.233066 1.62101i −0.451649 0.892196i \(-0.649164\pi\)
0.684715 0.728811i \(-0.259927\pi\)
\(198\) −2.00707 1.03472i −0.142636 0.0735340i
\(199\) 3.29307 3.13993i 0.233439 0.222584i −0.564326 0.825552i \(-0.690864\pi\)
0.797765 + 0.602968i \(0.206015\pi\)
\(200\) −28.5330 11.4229i −2.01759 0.807719i
\(201\) 4.51893 13.0566i 0.318741 0.920941i
\(202\) −17.6475 11.3414i −1.24168 0.797976i
\(203\) 5.02649 6.12988i 0.352790 0.430233i
\(204\) −3.67855 + 1.08012i −0.257550 + 0.0756234i
\(205\) 3.18346 4.47054i 0.222342 0.312236i
\(206\) −0.203748 + 0.352901i −0.0141958 + 0.0245878i
\(207\) −2.64573 4.00002i −0.183891 0.278020i
\(208\) −3.01493 5.22202i −0.209048 0.362082i
\(209\) 0.709823 + 1.55430i 0.0490995 + 0.107513i
\(210\) 8.12227 + 7.33361i 0.560490 + 0.506067i
\(211\) 9.05174 10.4463i 0.623148 0.719151i −0.353154 0.935565i \(-0.614891\pi\)
0.976302 + 0.216415i \(0.0694363\pi\)
\(212\) 0.356349 7.48069i 0.0244742 0.513776i
\(213\) 3.78064 0.728659i 0.259045 0.0499269i
\(214\) 11.1362 + 4.45826i 0.761254 + 0.304760i
\(215\) −8.09274 33.3587i −0.551920 2.27505i
\(216\) 2.56779 1.65022i 0.174716 0.112283i
\(217\) −5.98742 4.45061i −0.406452 0.302127i
\(218\) −3.17297 + 6.94783i −0.214900 + 0.470566i
\(219\) −7.86990 + 0.751485i −0.531799 + 0.0507806i
\(220\) 5.59200 + 4.39760i 0.377013 + 0.296486i
\(221\) −0.835344 17.5360i −0.0561913 1.17960i
\(222\) −0.198789 0.819418i −0.0133418 0.0549958i
\(223\) 0.273874 + 1.90483i 0.0183399 + 0.127557i 0.996935 0.0782406i \(-0.0249302\pi\)
−0.978595 + 0.205798i \(0.934021\pi\)
\(224\) −11.5791 + 2.55993i −0.773662 + 0.171042i
\(225\) 8.47072 + 5.44380i 0.564715 + 0.362920i
\(226\) 0.468807 + 0.0903551i 0.0311846 + 0.00601033i
\(227\) −5.02709 + 20.7219i −0.333660 + 1.37536i 0.519837 + 0.854265i \(0.325993\pi\)
−0.853497 + 0.521098i \(0.825523\pi\)
\(228\) −0.694043 0.0662730i −0.0459641 0.00438904i
\(229\) −2.84164 4.92186i −0.187781 0.325246i 0.756729 0.653728i \(-0.226796\pi\)
−0.944510 + 0.328483i \(0.893463\pi\)
\(230\) −7.61423 18.3166i −0.502068 1.20776i
\(231\) −2.93450 4.77792i −0.193076 0.314364i
\(232\) −3.79916 8.31901i −0.249427 0.546170i
\(233\) 12.5093 + 11.9276i 0.819509 + 0.781400i 0.978580 0.205867i \(-0.0660014\pi\)
−0.159071 + 0.987267i \(0.550850\pi\)
\(234\) 1.37993 + 3.98704i 0.0902087 + 0.260641i
\(235\) −14.4220 + 7.43505i −0.940787 + 0.485009i
\(236\) 1.13759 3.28685i 0.0740508 0.213956i
\(237\) −2.36987 16.4828i −0.153940 1.07067i
\(238\) 12.0834 + 3.19396i 0.783248 + 0.207034i
\(239\) 24.9042 16.0049i 1.61092 1.03527i 0.649431 0.760420i \(-0.275007\pi\)
0.961486 0.274854i \(-0.0886294\pi\)
\(240\) 5.48787 2.19701i 0.354240 0.141816i
\(241\) −2.36047 3.31482i −0.152051 0.213526i 0.731524 0.681816i \(-0.238810\pi\)
−0.883575 + 0.468290i \(0.844870\pi\)
\(242\) −4.02261 5.64897i −0.258583 0.363129i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) −4.50249 + 2.89358i −0.288243 + 0.185242i
\(245\) 7.83180 + 26.0202i 0.500355 + 1.66237i
\(246\) 0.214380 + 1.49104i 0.0136683 + 0.0950655i
\(247\) 1.04420 3.01702i 0.0664409 0.191968i
\(248\) −7.65008 + 3.94389i −0.485780 + 0.250437i
\(249\) −4.85053 14.0147i −0.307390 0.888145i
\(250\) 15.1743 + 14.4687i 0.959710 + 0.915081i
\(251\) 1.09731 + 2.40277i 0.0692614 + 0.151661i 0.941096 0.338138i \(-0.109797\pi\)
−0.871835 + 0.489800i \(0.837070\pi\)
\(252\) 2.28701 0.0621815i 0.144068 0.00391706i
\(253\) 1.09928 + 10.1041i 0.0691111 + 0.635242i
\(254\) 10.6604 + 18.4643i 0.668892 + 1.15855i
\(255\) 17.1328 + 1.63598i 1.07290 + 0.102449i
\(256\) −3.84634 + 15.8548i −0.240396 + 0.990927i
\(257\) −12.2579 2.36252i −0.764627 0.147370i −0.207996 0.978130i \(-0.566694\pi\)
−0.556631 + 0.830760i \(0.687906\pi\)
\(258\) 7.92610 + 5.09379i 0.493457 + 0.317126i
\(259\) 0.630767 1.99647i 0.0391939 0.124054i
\(260\) −1.89166 13.1568i −0.117316 0.815950i
\(261\) 0.706384 + 2.91175i 0.0437240 + 0.180233i
\(262\) −0.160442 3.36809i −0.00991212 0.208081i
\(263\) −7.13734 5.61287i −0.440107 0.346104i 0.373388 0.927675i \(-0.378196\pi\)
−0.813496 + 0.581571i \(0.802438\pi\)
\(264\) −6.43951 + 0.614899i −0.396325 + 0.0378444i
\(265\) −13.9663 + 30.5819i −0.857941 + 1.87863i
\(266\) 1.82413 + 1.35592i 0.111845 + 0.0831370i
\(267\) −7.08262 + 4.55173i −0.433450 + 0.278561i
\(268\) −2.81673 11.6107i −0.172059 0.709238i
\(269\) −10.5707 4.23185i −0.644504 0.258021i 0.0263011 0.999654i \(-0.491627\pi\)
−0.670805 + 0.741634i \(0.734051\pi\)
\(270\) −4.06139 + 0.782768i −0.247168 + 0.0476378i
\(271\) 0.110611 2.32201i 0.00671913 0.141052i −0.993015 0.117989i \(-0.962355\pi\)
0.999734 0.0230628i \(-0.00734178\pi\)
\(272\) 4.42122 5.10236i 0.268076 0.309376i
\(273\) −2.19231 + 10.2446i −0.132685 + 0.620031i
\(274\) 3.44233 + 7.53766i 0.207959 + 0.455367i
\(275\) −10.6697 18.4805i −0.643410 1.11442i
\(276\) −3.79469 1.67294i −0.228413 0.100699i
\(277\) −4.37856 + 7.58389i −0.263082 + 0.455672i −0.967059 0.254551i \(-0.918072\pi\)
0.703977 + 0.710223i \(0.251406\pi\)
\(278\) −7.97474 + 11.1989i −0.478293 + 0.671668i
\(279\) 2.70553 0.794416i 0.161976 0.0475605i
\(280\) 30.9326 + 5.09405i 1.84858 + 0.304428i
\(281\) 21.3878 + 13.7451i 1.27589 + 0.819966i 0.990375 0.138408i \(-0.0441984\pi\)
0.285517 + 0.958374i \(0.407835\pi\)
\(282\) 1.45662 4.20863i 0.0867406 0.250621i
\(283\) 30.5444 + 12.2281i 1.81568 + 0.726887i 0.985567 + 0.169283i \(0.0541453\pi\)
0.830108 + 0.557603i \(0.188279\pi\)
\(284\) 2.40960 2.29755i 0.142983 0.136334i
\(285\) 2.78191 + 1.43417i 0.164786 + 0.0849532i
\(286\) 1.27250 8.85047i 0.0752448 0.523339i
\(287\) −1.46082 + 3.44348i −0.0862295 + 0.203262i
\(288\) 1.86196 4.07713i 0.109717 0.240247i
\(289\) 2.46632 0.987367i 0.145078 0.0580804i
\(290\) 0.589670 + 12.3787i 0.0346266 + 0.726902i
\(291\) 7.50931 7.16012i 0.440204 0.419733i
\(292\) −5.37369 + 4.22591i −0.314471 + 0.247303i
\(293\) 2.32566 + 2.68396i 0.135867 + 0.156799i 0.819606 0.572928i \(-0.194193\pi\)
−0.683739 + 0.729727i \(0.739647\pi\)
\(294\) −6.48427 3.68544i −0.378171 0.214939i
\(295\) −10.2250 + 11.8002i −0.595320 + 0.687036i
\(296\) −1.74818 1.66689i −0.101611 0.0968858i
\(297\) 2.10970 + 0.201451i 0.122417 + 0.0116894i
\(298\) 12.0493 20.8699i 0.697995 1.20896i
\(299\) 11.5415 15.0807i 0.667460 0.872140i
\(300\) 8.70710 0.502705
\(301\) 10.2936 + 21.0093i 0.593316 + 1.21095i
\(302\) 11.4574 3.36420i 0.659300 0.193588i
\(303\) 19.3325 + 3.72603i 1.11062 + 0.214055i
\(304\) 1.09128 0.562596i 0.0625894 0.0322671i
\(305\) 23.5923 4.54705i 1.35089 0.260363i
\(306\) −3.71327 + 2.92015i −0.212273 + 0.166934i
\(307\) −14.9310 4.38415i −0.852159 0.250216i −0.173649 0.984808i \(-0.555556\pi\)
−0.678510 + 0.734591i \(0.737374\pi\)
\(308\) −4.36843 2.10382i −0.248915 0.119876i
\(309\) 0.0544281 0.378556i 0.00309631 0.0215353i
\(310\) 11.6101 1.10863i 0.659407 0.0629658i
\(311\) −11.4026 16.0126i −0.646580 0.907994i 0.353039 0.935609i \(-0.385148\pi\)
−0.999619 + 0.0276146i \(0.991209\pi\)
\(312\) 9.50066 + 7.47140i 0.537869 + 0.422985i
\(313\) 18.1776 + 9.37121i 1.02746 + 0.529692i 0.887666 0.460488i \(-0.152326\pi\)
0.139794 + 0.990181i \(0.455356\pi\)
\(314\) −14.2889 4.19559i −0.806368 0.236771i
\(315\) −9.63507 3.55662i −0.542875 0.200393i
\(316\) −9.42982 10.8826i −0.530469 0.612194i
\(317\) −0.435482 + 9.14188i −0.0244591 + 0.513459i 0.953082 + 0.302713i \(0.0978924\pi\)
−0.977541 + 0.210746i \(0.932411\pi\)
\(318\) −3.01816 8.72039i −0.169250 0.489015i
\(319\) 1.49703 6.17085i 0.0838178 0.345501i
\(320\) 17.6114 24.7317i 0.984506 1.38255i
\(321\) −11.2581 −0.628368
\(322\) 7.76208 + 11.0693i 0.432564 + 0.616866i
\(323\) 3.57463 0.198898
\(324\) −0.501592 + 0.704387i −0.0278662 + 0.0391326i
\(325\) −9.40005 + 38.7476i −0.521421 + 2.14933i
\(326\) −5.65812 16.3481i −0.313374 0.905436i
\(327\) 0.341095 7.16046i 0.0188626 0.395975i
\(328\) 2.82596 + 3.26133i 0.156038 + 0.180077i
\(329\) 8.50380 7.06984i 0.468830 0.389773i
\(330\) 8.41060 + 2.46957i 0.462988 + 0.135946i
\(331\) −2.79011 1.43840i −0.153358 0.0790618i 0.379839 0.925053i \(-0.375979\pi\)
−0.533197 + 0.845991i \(0.679010\pi\)
\(332\) −10.0805 7.92742i −0.553241 0.435074i
\(333\) 0.459034 + 0.644623i 0.0251549 + 0.0353251i
\(334\) −18.3271 + 1.75002i −1.00281 + 0.0957570i
\(335\) −7.63295 + 53.0883i −0.417033 + 2.90053i
\(336\) −3.32889 + 2.26951i −0.181606 + 0.123812i
\(337\) −26.1158 7.66829i −1.42262 0.417718i −0.522229 0.852805i \(-0.674900\pi\)
−0.900389 + 0.435087i \(0.856718\pi\)
\(338\) −2.24433 + 1.76496i −0.122075 + 0.0960011i
\(339\) −0.439991 + 0.0848014i −0.0238971 + 0.00460578i
\(340\) 13.2282 6.81960i 0.717399 0.369845i
\(341\) −5.86789 1.13094i −0.317764 0.0612440i
\(342\) −0.824269 + 0.242027i −0.0445713 + 0.0130873i
\(343\) −9.04029 16.1639i −0.488130 0.872771i
\(344\) 26.9908 1.45525
\(345\) 13.0235 + 13.3034i 0.701161 + 0.716229i
\(346\) 10.4334 18.0712i 0.560903 0.971512i
\(347\) 2.61528 + 0.249729i 0.140396 + 0.0134062i 0.165017 0.986291i \(-0.447232\pi\)
−0.0246215 + 0.999697i \(0.507838\pi\)
\(348\) 1.87513 + 1.78793i 0.100518 + 0.0958433i
\(349\) 20.9216 24.1448i 1.11991 1.29244i 0.168089 0.985772i \(-0.446241\pi\)
0.951817 0.306668i \(-0.0992140\pi\)
\(350\) −24.2874 14.6915i −1.29822 0.785295i
\(351\) −2.59309 2.99259i −0.138409 0.159732i
\(352\) −7.46674 + 5.87191i −0.397979 + 0.312974i
\(353\) −17.1002 + 16.3050i −0.910151 + 0.867827i −0.991665 0.128845i \(-0.958873\pi\)
0.0815141 + 0.996672i \(0.474024\pi\)
\(354\) −0.203920 4.28081i −0.0108382 0.227522i
\(355\) −13.8756 + 5.55494i −0.736438 + 0.294825i
\(356\) −3.02433 + 6.62236i −0.160289 + 0.350985i
\(357\) −11.6424 + 1.43198i −0.616182 + 0.0757883i
\(358\) 1.28849 8.96163i 0.0680987 0.473637i
\(359\) −9.66241 4.98132i −0.509963 0.262904i 0.183986 0.982929i \(-0.441100\pi\)
−0.693948 + 0.720025i \(0.744130\pi\)
\(360\) −8.57545 + 8.17668i −0.451966 + 0.430949i
\(361\) −17.0355 6.81998i −0.896605 0.358946i
\(362\) 0.526500 1.52122i 0.0276722 0.0799536i
\(363\) 5.47539 + 3.51882i 0.287383 + 0.184690i
\(364\) 3.19461 + 8.47741i 0.167443 + 0.444337i
\(365\) 29.4460 8.64614i 1.54128 0.452559i
\(366\) −3.82531 + 5.37190i −0.199952 + 0.280793i
\(367\) 4.47227 7.74619i 0.233450 0.404348i −0.725371 0.688358i \(-0.758332\pi\)
0.958821 + 0.284010i \(0.0916650\pi\)
\(368\) 7.21438 1.13443i 0.376076 0.0591363i
\(369\) −0.706893 1.22437i −0.0367994 0.0637384i
\(370\) 1.35972 + 2.97738i 0.0706886 + 0.154787i
\(371\) 4.79498 22.4068i 0.248943 1.16330i
\(372\) 1.59676 1.84276i 0.0827882 0.0955427i
\(373\) −0.883817 + 18.5536i −0.0457623 + 0.960669i 0.852913 + 0.522054i \(0.174834\pi\)
−0.898675 + 0.438615i \(0.855469\pi\)
\(374\) 9.83048 1.89467i 0.508322 0.0979711i
\(375\) −18.2684 7.31358i −0.943378 0.377671i
\(376\) −3.00788 12.3987i −0.155120 0.639412i
\(377\) −9.98086 + 6.41431i −0.514041 + 0.330354i
\(378\) 2.58765 1.11847i 0.133094 0.0575278i
\(379\) −13.1615 + 28.8197i −0.676062 + 1.48037i 0.190700 + 0.981648i \(0.438924\pi\)
−0.866762 + 0.498722i \(0.833803\pi\)
\(380\) 2.69421 0.257265i 0.138210 0.0131974i
\(381\) −15.7291 12.3695i −0.805828 0.633710i
\(382\) 0.876750 + 18.4052i 0.0448584 + 0.941694i
\(383\) −0.478470 1.97228i −0.0244487 0.100779i 0.958280 0.285831i \(-0.0922697\pi\)
−0.982729 + 0.185052i \(0.940755\pi\)
\(384\) −0.0897767 0.624410i −0.00458140 0.0318643i
\(385\) 14.6957 + 16.0564i 0.748963 + 0.818309i
\(386\) 8.59495 + 5.52364i 0.437471 + 0.281146i
\(387\) −8.68286 1.67348i −0.441374 0.0850680i
\(388\) 2.11529 8.71933i 0.107387 0.442657i
\(389\) 3.17818 + 0.303479i 0.161140 + 0.0153870i 0.175314 0.984513i \(-0.443906\pi\)
−0.0141741 + 0.999900i \(0.504512\pi\)
\(390\) −8.18904 14.1838i −0.414668 0.718227i
\(391\) 20.1831 + 6.68914i 1.02070 + 0.338285i
\(392\) −21.3348 + 1.16100i −1.07757 + 0.0586394i
\(393\) 1.31464 + 2.87867i 0.0663149 + 0.145209i
\(394\) −17.7252 16.9009i −0.892980 0.851455i
\(395\) 21.1425 + 61.0873i 1.06380 + 3.07364i
\(396\) 1.62889 0.839752i 0.0818549 0.0421991i
\(397\) −2.33972 + 6.76017i −0.117427 + 0.339283i −0.988363 0.152113i \(-0.951392\pi\)
0.870936 + 0.491397i \(0.163513\pi\)
\(398\) −0.689957 4.79875i −0.0345844 0.240540i
\(399\) −2.06234 0.545134i −0.103246 0.0272908i
\(400\) −12.8991 + 8.28975i −0.644955 + 0.414487i
\(401\) 27.3096 10.9331i 1.36377 0.545973i 0.429674 0.902984i \(-0.358628\pi\)
0.934100 + 0.357011i \(0.116204\pi\)
\(402\) −8.53922 11.9917i −0.425897 0.598089i
\(403\) 6.47665 + 9.09518i 0.322625 + 0.453063i
\(404\) 15.8055 6.32755i 0.786351 0.314808i
\(405\) 3.26566 2.09871i 0.162272 0.104286i
\(406\) −2.21367 8.15115i −0.109863 0.404535i
\(407\) −0.238679 1.66005i −0.0118309 0.0822857i
\(408\) −4.42615 + 12.7885i −0.219127 + 0.633126i
\(409\) −12.9960 + 6.69991i −0.642612 + 0.331289i −0.748545 0.663084i \(-0.769247\pi\)
0.105933 + 0.994373i \(0.466217\pi\)
\(410\) −1.91256 5.52599i −0.0944548 0.272909i
\(411\) −5.62860 5.36686i −0.277638 0.264727i
\(412\) −0.137384 0.300828i −0.00676840 0.0148207i
\(413\) 5.06848 9.35732i 0.249403 0.460444i
\(414\) −5.10689 0.175904i −0.250990 0.00864522i
\(415\) 28.7850 + 49.8571i 1.41300 + 2.44739i
\(416\) 17.6679 + 1.68708i 0.866242 + 0.0827161i
\(417\) 3.04203 12.5394i 0.148969 0.614059i
\(418\) 1.78771 + 0.344553i 0.0874399 + 0.0168527i
\(419\) −31.7362 20.3956i −1.55041 0.996390i −0.985193 0.171449i \(-0.945155\pi\)
−0.565219 0.824941i \(-0.691209\pi\)
\(420\) −8.67184 + 1.91718i −0.423142 + 0.0935490i
\(421\) 3.84422 + 26.7371i 0.187356 + 1.30309i 0.838820 + 0.544408i \(0.183246\pi\)
−0.651465 + 0.758679i \(0.725845\pi\)
\(422\) −3.47217 14.3125i −0.169023 0.696721i
\(423\) 0.198885 + 4.17510i 0.00967010 + 0.203000i
\(424\) −20.7797 16.3413i −1.00915 0.793605i
\(425\) −44.4403 + 4.24353i −2.15567 + 0.205842i
\(426\) 1.70419 3.73165i 0.0825682 0.180799i
\(427\) −15.0315 + 6.49711i −0.727424 + 0.314417i
\(428\) −8.18980 + 5.26327i −0.395869 + 0.254410i
\(429\) 1.97846 + 8.15533i 0.0955210 + 0.393743i
\(430\) −33.9545 13.5933i −1.63743 0.655529i
\(431\) 29.9608 5.77448i 1.44316 0.278147i 0.593228 0.805035i \(-0.297853\pi\)
0.849935 + 0.526888i \(0.176641\pi\)
\(432\) 0.0724571 1.52106i 0.00348609 0.0731821i
\(433\) −15.5651 + 17.9631i −0.748013 + 0.863253i −0.994374 0.105925i \(-0.966220\pi\)
0.246361 + 0.969178i \(0.420765\pi\)
\(434\) −7.56328 + 2.44594i −0.363049 + 0.117409i
\(435\) −4.83169 10.5799i −0.231662 0.507269i
\(436\) −3.09944 5.36839i −0.148436 0.257099i
\(437\) 2.95535 + 2.49345i 0.141374 + 0.119278i
\(438\) −4.21173 + 7.29493i −0.201244 + 0.348565i
\(439\) −0.572594 + 0.804096i −0.0273284 + 0.0383774i −0.828014 0.560707i \(-0.810529\pi\)
0.800686 + 0.599085i \(0.204469\pi\)
\(440\) 24.0941 7.07466i 1.14864 0.337271i
\(441\) 6.93533 + 0.949311i 0.330254 + 0.0452053i
\(442\) −15.7362 10.1130i −0.748495 0.481028i
\(443\) 8.23797 23.8021i 0.391398 1.13087i −0.561473 0.827495i \(-0.689765\pi\)
0.952871 0.303375i \(-0.0981135\pi\)
\(444\) 0.635293 + 0.254333i 0.0301497 + 0.0120701i
\(445\) 23.6533 22.5533i 1.12127 1.06913i
\(446\) 1.82252 + 0.939572i 0.0862986 + 0.0444900i
\(447\) −3.21878 + 22.3871i −0.152243 + 1.05887i
\(448\) −8.08149 + 19.0499i −0.381814 + 0.900021i
\(449\) 2.60193 5.69743i 0.122793 0.268878i −0.838246 0.545292i \(-0.816419\pi\)
0.961039 + 0.276414i \(0.0891460\pi\)
\(450\) 9.96009 3.98742i 0.469523 0.187969i
\(451\) 0.142566 + 2.99283i 0.00671318 + 0.140927i
\(452\) −0.280429 + 0.267389i −0.0131903 + 0.0125769i
\(453\) −8.80941 + 6.92780i −0.413902 + 0.325496i
\(454\) 14.8781 + 17.1702i 0.698263 + 0.805839i
\(455\) 0.830305 40.6604i 0.0389253 1.90619i
\(456\) −1.61161 + 1.85990i −0.0754705 + 0.0870976i
\(457\) 18.4825 + 17.6231i 0.864576 + 0.824372i 0.985743 0.168260i \(-0.0538149\pi\)
−0.121166 + 0.992632i \(0.538663\pi\)
\(458\) −6.02806 0.575610i −0.281673 0.0268965i
\(459\) 2.21679 3.83959i 0.103471 0.179217i
\(460\) 15.6934 + 3.58904i 0.731710 + 0.167340i
\(461\) 6.30244 0.293534 0.146767 0.989171i \(-0.453113\pi\)
0.146767 + 0.989171i \(0.453113\pi\)
\(462\) −5.96052 0.406046i −0.277309 0.0188910i
\(463\) 13.1040 3.84768i 0.608995 0.178817i 0.0373282 0.999303i \(-0.488115\pi\)
0.571666 + 0.820486i \(0.306297\pi\)
\(464\) −4.48014 0.863476i −0.207985 0.0400859i
\(465\) −9.72920 + 5.01575i −0.451181 + 0.232600i
\(466\) 18.0835 3.48531i 0.837702 0.161454i
\(467\) −17.3257 + 13.6251i −0.801736 + 0.630492i −0.932601 0.360908i \(-0.882467\pi\)
0.130865 + 0.991400i \(0.458224\pi\)
\(468\) −3.28542 0.964685i −0.151868 0.0445926i
\(469\) −2.73111 36.4528i −0.126111 1.68324i
\(470\) −2.46039 + 17.1124i −0.113489 + 0.789335i
\(471\) 13.9135 1.32858i 0.641099 0.0612175i
\(472\) −7.12151 10.0008i −0.327794 0.460322i
\(473\) 14.7308 + 11.5844i 0.677321 + 0.532651i
\(474\) −15.7705 8.13026i −0.724363 0.373435i
\(475\) −7.78955 2.28722i −0.357409 0.104945i
\(476\) −7.79988 + 6.48462i −0.357507 + 0.297222i
\(477\) 5.67156 + 6.54533i 0.259683 + 0.299690i
\(478\) 1.50085 31.5067i 0.0686472 1.44108i
\(479\) 0.230980 + 0.667373i 0.0105538 + 0.0304931i 0.950155 0.311779i \(-0.100925\pi\)
−0.939601 + 0.342272i \(0.888804\pi\)
\(480\) −4.10205 + 16.9089i −0.187232 + 0.771782i
\(481\) −1.81766 + 2.55255i −0.0828783 + 0.116386i
\(482\) −4.33589 −0.197494
\(483\) −10.6243 6.93716i −0.483423 0.315652i
\(484\) 5.62818 0.255826
\(485\) −23.3634 + 32.8093i −1.06088 + 1.48980i
\(486\) −0.251199 + 1.03546i −0.0113946 + 0.0469693i
\(487\) 5.50707 + 15.9116i 0.249549 + 0.721025i 0.998306 + 0.0581802i \(0.0185298\pi\)
−0.748757 + 0.662845i \(0.769349\pi\)
\(488\) −0.898921 + 18.8707i −0.0406922 + 0.854235i
\(489\) 10.6324 + 12.2705i 0.480816 + 0.554891i
\(490\) 27.4240 + 9.28428i 1.23889 + 0.419421i
\(491\) −31.4156 9.22447i −1.41777 0.416294i −0.519021 0.854761i \(-0.673703\pi\)
−0.898747 + 0.438467i \(0.855522\pi\)
\(492\) −1.08664 0.560201i −0.0489894 0.0252558i
\(493\) −10.4419 8.21159i −0.470279 0.369831i
\(494\) −1.97318 2.77094i −0.0887775 0.124671i
\(495\) −8.18963 + 0.782015i −0.368097 + 0.0351490i
\(496\) −0.611083 + 4.25018i −0.0274384 + 0.190839i
\(497\) 8.41677 5.73824i 0.377544 0.257395i
\(498\) −15.1615 4.45183i −0.679405 0.199491i
\(499\) −8.21728 + 6.46214i −0.367856 + 0.289285i −0.784926 0.619589i \(-0.787299\pi\)
0.417070 + 0.908874i \(0.363057\pi\)
\(500\) −16.7086 + 3.22033i −0.747233 + 0.144017i
\(501\) 15.3580 7.91762i 0.686147 0.353733i
\(502\) 2.76360 + 0.532641i 0.123346 + 0.0237729i
\(503\) −10.9940 + 3.22813i −0.490198 + 0.143935i −0.517485 0.855692i \(-0.673132\pi\)
0.0272864 + 0.999628i \(0.491313\pi\)
\(504\) 4.50387 6.70319i 0.200618 0.298584i
\(505\) −76.4279 −3.40100
\(506\) 9.44903 + 5.29073i 0.420061 + 0.235202i
\(507\) 1.33985 2.32068i 0.0595046 0.103065i
\(508\) −17.2251 1.64480i −0.764240 0.0729761i
\(509\) 5.00716 + 4.77431i 0.221938 + 0.211618i 0.792888 0.609367i \(-0.208576\pi\)
−0.570950 + 0.820985i \(0.693425\pi\)
\(510\) 12.0088 13.8588i 0.531756 0.613680i
\(511\) −18.3240 + 10.0863i −0.810605 + 0.446190i
\(512\) 10.5574 + 12.1838i 0.466573 + 0.538454i
\(513\) 0.633766 0.498399i 0.0279815 0.0220049i
\(514\) −9.62643 + 9.17878i −0.424604 + 0.404859i
\(515\) 0.0706414 + 1.48295i 0.00311283 + 0.0653464i
\(516\) −7.09876 + 2.84192i −0.312506 + 0.125108i
\(517\) 3.67987 8.05779i 0.161840 0.354381i
\(518\) −1.34294 1.78137i −0.0590053 0.0782687i
\(519\) −2.78712 + 19.3849i −0.122341 + 0.850901i
\(520\) −41.7031 21.4994i −1.82880 0.942812i
\(521\) 14.1868 13.5271i 0.621535 0.592632i −0.312455 0.949933i \(-0.601151\pi\)
0.933989 + 0.357301i \(0.116303\pi\)
\(522\) 2.96376 + 1.18651i 0.129720 + 0.0519321i
\(523\) −6.41826 + 18.5443i −0.280651 + 0.810887i 0.713280 + 0.700879i \(0.247209\pi\)
−0.993931 + 0.110008i \(0.964912\pi\)
\(524\) 2.30214 + 1.47950i 0.100570 + 0.0646322i
\(525\) 26.2864 + 4.32891i 1.14723 + 0.188929i
\(526\) −9.28274 + 2.72566i −0.404747 + 0.118844i
\(527\) −7.25164 + 10.1835i −0.315886 + 0.443600i
\(528\) −1.61361 + 2.79486i −0.0702235 + 0.121631i
\(529\) 12.0206 + 19.6088i 0.522633 + 0.852558i
\(530\) 17.9109 + 31.0226i 0.778001 + 1.34754i
\(531\) 1.67090 + 3.65876i 0.0725109 + 0.158777i
\(532\) −1.75512 + 0.567601i −0.0760940 + 0.0246086i
\(533\) 3.66608 4.23088i 0.158795 0.183260i
\(534\) −0.426834 + 8.96035i −0.0184709 + 0.387752i
\(535\) 42.9132 8.27084i 1.85530 0.357580i
\(536\) −39.1517 15.6740i −1.69110 0.677013i
\(537\) 2.00331 + 8.25776i 0.0864493 + 0.356349i
\(538\) −10.2061 + 6.55904i −0.440015 + 0.282780i
\(539\) −12.1422 8.52323i −0.523002 0.367121i
\(540\) 1.39446 3.05345i 0.0600081 0.131399i
\(541\) 18.0003 1.71882i 0.773894 0.0738980i 0.299366 0.954138i \(-0.403225\pi\)
0.474528 + 0.880240i \(0.342619\pi\)
\(542\) −1.94696 1.53111i −0.0836292 0.0657667i
\(543\) 0.0718873 + 1.50910i 0.00308498 + 0.0647617i
\(544\) 4.68502 + 19.3119i 0.200868 + 0.827991i
\(545\) 3.96030 + 27.5445i 0.169641 + 1.17988i
\(546\) 7.53657 + 8.23438i 0.322535 + 0.352399i
\(547\) 8.74218 + 5.61826i 0.373789 + 0.240219i 0.714024 0.700121i \(-0.246871\pi\)
−0.340236 + 0.940340i \(0.610507\pi\)
\(548\) −6.60360 1.27274i −0.282092 0.0543688i
\(549\) 1.45920 6.01490i 0.0622771 0.256710i
\(550\) −22.6341 2.16129i −0.965121 0.0921579i
\(551\) −1.20787 2.09209i −0.0514569 0.0891260i
\(552\) −12.5798 + 7.48557i −0.535434 + 0.318607i
\(553\) −23.0578 37.5424i −0.980518 1.59647i
\(554\) 3.87609 + 8.48745i 0.164679 + 0.360597i
\(555\) −2.22330 2.11991i −0.0943737 0.0899851i
\(556\) −3.64934 10.5441i −0.154766 0.447168i
\(557\) −16.4457 + 8.47833i −0.696825 + 0.359238i −0.769967 0.638083i \(-0.779728\pi\)
0.0731423 + 0.997322i \(0.476697\pi\)
\(558\) 0.982650 2.83918i 0.0415989 0.120192i
\(559\) −4.98312 34.6584i −0.210764 1.46589i
\(560\) 11.0216 11.0964i 0.465747 0.468908i
\(561\) −7.90446 + 5.07989i −0.333726 + 0.214473i
\(562\) 25.1484 10.0679i 1.06082 0.424689i
\(563\) −11.1091 15.6005i −0.468191 0.657482i 0.511199 0.859463i \(-0.329202\pi\)
−0.979390 + 0.201981i \(0.935262\pi\)
\(564\) 2.09657 + 2.94422i 0.0882816 + 0.123974i
\(565\) 1.61484 0.646484i 0.0679368 0.0271978i
\(566\) 29.4909 18.9526i 1.23959 0.796639i
\(567\) −1.86449 + 1.87715i −0.0783012 + 0.0788327i
\(568\) −1.67251 11.6326i −0.0701770 0.488092i
\(569\) 11.7826 34.0436i 0.493952 1.42718i −0.372553 0.928011i \(-0.621517\pi\)
0.866505 0.499169i \(-0.166361\pi\)
\(570\) 2.96410 1.52810i 0.124153 0.0640051i
\(571\) −9.03337 26.1002i −0.378035 1.09226i −0.960230 0.279211i \(-0.909927\pi\)
0.582195 0.813049i \(-0.302194\pi\)
\(572\) 5.25192 + 5.00770i 0.219594 + 0.209382i
\(573\) −7.18400 15.7308i −0.300116 0.657162i
\(574\) 2.08582 + 3.39611i 0.0870605 + 0.141751i
\(575\) −39.7013 27.4905i −1.65566 1.14643i
\(576\) −3.91064 6.77343i −0.162943 0.282226i
\(577\) −12.6443 1.20738i −0.526388 0.0502639i −0.171520 0.985181i \(-0.554868\pi\)
−0.354867 + 0.934917i \(0.615474\pi\)
\(578\) 0.667341 2.75082i 0.0277577 0.114419i
\(579\) −9.41557 1.81470i −0.391298 0.0754164i
\(580\) −8.46104 5.43758i −0.351326 0.225783i
\(581\) −26.4915 28.9444i −1.09905 1.20081i
\(582\) −1.57333 10.9428i −0.0652168 0.453593i
\(583\) −4.32726 17.8372i −0.179217 0.738741i
\(584\) 1.14820 + 24.1036i 0.0475126 + 0.997413i
\(585\) 12.0827 + 9.50197i 0.499560 + 0.392858i
\(586\) 3.76684 0.359689i 0.155607 0.0148586i
\(587\) 5.55203 12.1572i 0.229157 0.501783i −0.759769 0.650193i \(-0.774688\pi\)
0.988926 + 0.148410i \(0.0474154\pi\)
\(588\) 5.48896 2.55174i 0.226361 0.105232i
\(589\) −1.91256 + 1.22913i −0.0788057 + 0.0506453i
\(590\) 3.92221 + 16.1676i 0.161475 + 0.665608i
\(591\) 21.3394 + 8.54299i 0.877784 + 0.351412i
\(592\) −1.18329 + 0.228061i −0.0486331 + 0.00937326i
\(593\) 0.345593 7.25489i 0.0141918 0.297923i −0.980602 0.196011i \(-0.937201\pi\)
0.994793 0.101912i \(-0.0324959\pi\)
\(594\) 1.47873 1.70655i 0.0606731 0.0700205i
\(595\) 43.3260 14.0115i 1.77619 0.574416i
\(596\) 8.12461 + 17.7904i 0.332797 + 0.728724i
\(597\) 2.27505 + 3.94051i 0.0931118 + 0.161274i
\(598\) −5.95575 19.3377i −0.243549 0.790776i
\(599\) 6.11485 10.5912i 0.249846 0.432746i −0.713637 0.700516i \(-0.752953\pi\)
0.963483 + 0.267770i \(0.0862867\pi\)
\(600\) 17.8278 25.0356i 0.727816 1.02207i
\(601\) 28.1457 8.26432i 1.14809 0.337109i 0.348294 0.937385i \(-0.386761\pi\)
0.799792 + 0.600277i \(0.204943\pi\)
\(602\) 24.5964 + 4.05059i 1.00247 + 0.165090i
\(603\) 11.6232 + 7.46976i 0.473332 + 0.304192i
\(604\) −3.16966 + 9.15814i −0.128972 + 0.372639i
\(605\) −23.4559 9.39033i −0.953619 0.381771i
\(606\) 15.1822 14.4762i 0.616736 0.588057i
\(607\) −18.4198 9.49609i −0.747638 0.385434i 0.0419110 0.999121i \(-0.486655\pi\)
−0.789549 + 0.613687i \(0.789686\pi\)
\(608\) −0.514299 + 3.57703i −0.0208576 + 0.145068i
\(609\) 4.77205 + 6.32997i 0.193373 + 0.256503i
\(610\) 10.6346 23.2866i 0.430584 0.942847i
\(611\) −15.3655 + 6.15144i −0.621624 + 0.248861i
\(612\) −0.182422 3.82950i −0.00737396 0.154798i
\(613\) −15.5364 + 14.8139i −0.627508 + 0.598327i −0.935614 0.353025i \(-0.885153\pi\)
0.308106 + 0.951352i \(0.400305\pi\)
\(614\) −13.0332 + 10.2494i −0.525976 + 0.413632i
\(615\) 3.59399 + 4.14769i 0.144924 + 0.167251i
\(616\) −14.9935 + 8.25303i −0.604106 + 0.332524i
\(617\) 0.870999 1.00519i 0.0350651 0.0404673i −0.737946 0.674860i \(-0.764204\pi\)
0.773011 + 0.634392i \(0.218750\pi\)
\(618\) −0.294918 0.281204i −0.0118634 0.0113117i
\(619\) 34.8308 + 3.32593i 1.39997 + 0.133681i 0.767570 0.640965i \(-0.221465\pi\)
0.632396 + 0.774645i \(0.282072\pi\)
\(620\) −4.73266 + 8.19721i −0.190068 + 0.329208i
\(621\) 4.51102 1.62811i 0.181021 0.0653337i
\(622\) −20.9451 −0.839820
\(623\) −12.4228 + 18.4891i −0.497709 + 0.740750i
\(624\) 5.78562 1.69881i 0.231610 0.0680068i
\(625\) 25.5716 + 4.92853i 1.02287 + 0.197141i
\(626\) 19.3681 9.98494i 0.774105 0.399079i
\(627\) −1.67783 + 0.323375i −0.0670061 + 0.0129144i
\(628\) 9.50032 7.47114i 0.379104 0.298131i
\(629\) −3.36643 0.988474i −0.134229 0.0394130i
\(630\) −9.04179 + 6.16435i −0.360233 + 0.245594i
\(631\) 6.19439 43.0829i 0.246595 1.71510i −0.371021 0.928624i \(-0.620992\pi\)
0.617616 0.786480i \(-0.288099\pi\)
\(632\) −50.5984 + 4.83156i −2.01270 + 0.192189i
\(633\) 8.01777 + 11.2594i 0.318678 + 0.447520i
\(634\) 7.66531 + 6.02806i 0.304428 + 0.239405i
\(635\) 69.0429 + 35.5941i 2.73988 + 1.41251i
\(636\) 7.18581 + 2.10994i 0.284936 + 0.0836647i
\(637\) 5.42972 + 27.1813i 0.215133 + 1.07696i
\(638\) −4.43059 5.11318i −0.175409 0.202433i
\(639\) −0.183201 + 3.84586i −0.00724732 + 0.152140i
\(640\) 0.800933 + 2.31414i 0.0316596 + 0.0914745i
\(641\) −2.93114 + 12.0823i −0.115773 + 0.477224i 0.884176 + 0.467154i \(0.154721\pi\)
−0.999949 + 0.0100699i \(0.996795\pi\)
\(642\) −6.95804 + 9.77120i −0.274612 + 0.385638i
\(643\) 15.0146 0.592118 0.296059 0.955170i \(-0.404327\pi\)
0.296059 + 0.955170i \(0.404327\pi\)
\(644\) −10.9719 0.0795329i −0.432353 0.00313403i
\(645\) 34.3263 1.35160
\(646\) 2.20929 3.10251i 0.0869232 0.122067i
\(647\) −1.44675 + 5.96360i −0.0568778 + 0.234453i −0.993154 0.116811i \(-0.962733\pi\)
0.936276 + 0.351264i \(0.114248\pi\)
\(648\) 0.998324 + 2.88447i 0.0392179 + 0.113313i
\(649\) 0.405603 8.51465i 0.0159213 0.334229i
\(650\) 27.8202 + 32.1063i 1.09120 + 1.25931i
\(651\) 5.73674 4.76937i 0.224840 0.186926i
\(652\) 13.4712 + 3.95550i 0.527573 + 0.154909i
\(653\) 13.4640 + 6.94119i 0.526889 + 0.271630i 0.701081 0.713082i \(-0.252701\pi\)
−0.174192 + 0.984712i \(0.555731\pi\)
\(654\) −6.00392 4.72154i −0.234772 0.184627i
\(655\) −7.12592 10.0069i −0.278433 0.391004i
\(656\) 2.14315 0.204646i 0.0836758 0.00799007i
\(657\) 1.12510 7.82523i 0.0438943 0.305291i
\(658\) −0.880341 11.7501i −0.0343193 0.458068i
\(659\) −5.47483 1.60755i −0.213269 0.0626214i 0.173353 0.984860i \(-0.444540\pi\)
−0.386622 + 0.922238i \(0.626358\pi\)
\(660\) −5.59200 + 4.39760i −0.217668 + 0.171176i
\(661\) 6.29647 1.21354i 0.244904 0.0472014i −0.0653218 0.997864i \(-0.520807\pi\)
0.310226 + 0.950663i \(0.399595\pi\)
\(662\) −2.97284 + 1.53261i −0.115543 + 0.0595664i
\(663\) 17.2386 + 3.32248i 0.669494 + 0.129034i
\(664\) −43.4337 + 12.7533i −1.68555 + 0.494923i
\(665\) 8.26162 + 0.562803i 0.320372 + 0.0218246i
\(666\) 0.843187 0.0326728
\(667\) −2.90498 14.0726i −0.112481 0.544894i
\(668\) 7.47075 12.9397i 0.289052 0.500653i
\(669\) −1.91571 0.182928i −0.0740655 0.00707240i
\(670\) 41.3591 + 39.4358i 1.59784 + 1.52354i
\(671\) −8.58986 + 9.91322i −0.331608 + 0.382696i
\(672\) 0.242110 11.8562i 0.00933960 0.457364i
\(673\) −12.4804 14.4032i −0.481084 0.555201i 0.462377 0.886683i \(-0.346997\pi\)
−0.943461 + 0.331482i \(0.892451\pi\)
\(674\) −22.7962 + 17.9272i −0.878078 + 0.690528i
\(675\) −7.28740 + 6.94852i −0.280492 + 0.267449i
\(676\) −0.110257 2.31458i −0.00424066 0.0890224i
\(677\) −4.98158 + 1.99432i −0.191457 + 0.0766480i −0.465410 0.885095i \(-0.654093\pi\)
0.273953 + 0.961743i \(0.411669\pi\)
\(678\) −0.198334 + 0.434290i −0.00761696 + 0.0166788i
\(679\) 10.7210 25.2717i 0.411433 0.969840i
\(680\) 7.47623 51.9983i 0.286700 1.99404i
\(681\) −18.9526 9.77077i −0.726267 0.374417i
\(682\) −4.60819 + 4.39390i −0.176457 + 0.168251i
\(683\) 29.4760 + 11.8004i 1.12787 + 0.451531i 0.859168 0.511693i \(-0.170981\pi\)
0.268701 + 0.963224i \(0.413406\pi\)
\(684\) 0.228032 0.658854i 0.00871901 0.0251919i
\(685\) 25.3976 + 16.3220i 0.970392 + 0.623633i
\(686\) −19.6164 2.14377i −0.748957 0.0818496i
\(687\) 5.45306 1.60116i 0.208047 0.0610882i
\(688\) 7.81074 10.9687i 0.297782 0.418176i
\(689\) −17.1472 + 29.6998i −0.653255 + 1.13147i
\(690\) 19.5954 3.08130i 0.745985 0.117303i
\(691\) 21.3531 + 36.9846i 0.812309 + 1.40696i 0.911244 + 0.411867i \(0.135123\pi\)
−0.0989347 + 0.995094i \(0.531543\pi\)
\(692\) 7.03506 + 15.4046i 0.267433 + 0.585596i
\(693\) 5.33507 1.72535i 0.202663 0.0655405i
\(694\) 1.83311 2.11552i 0.0695839 0.0803041i
\(695\) −2.38332 + 50.0320i −0.0904045 + 1.89782i
\(696\) 8.98019 1.73079i 0.340393 0.0656054i
\(697\) 5.81913 + 2.32963i 0.220415 + 0.0882410i
\(698\) −8.02533 33.0809i −0.303763 1.25213i
\(699\) −14.5405 + 9.34462i −0.549973 + 0.353446i
\(700\) 21.1460 9.14002i 0.799245 0.345460i
\(701\) −6.09073 + 13.3368i −0.230044 + 0.503726i −0.989090 0.147311i \(-0.952938\pi\)
0.759046 + 0.651036i \(0.225666\pi\)
\(702\) −4.19998 + 0.401050i −0.158518 + 0.0151366i
\(703\) −0.501537 0.394413i −0.0189158 0.0148756i
\(704\) 0.788698 + 16.5568i 0.0297252 + 0.624008i
\(705\) −3.82536 15.7683i −0.144071 0.593870i
\(706\) 3.58279 + 24.9189i 0.134840 + 0.937834i
\(707\) 50.8620 11.2447i 1.91286 0.422899i
\(708\) 2.92600 + 1.88043i 0.109966 + 0.0706708i
\(709\) −12.7312 2.45373i −0.478129 0.0921518i −0.0555080 0.998458i \(-0.517678\pi\)
−0.422621 + 0.906306i \(0.638890\pi\)
\(710\) −3.75447 + 15.4761i −0.140903 + 0.580809i
\(711\) 16.5769 + 1.58290i 0.621683 + 0.0593635i
\(712\) 12.8490 + 22.2552i 0.481538 + 0.834048i
\(713\) −13.0987 + 3.36097i −0.490552 + 0.125869i
\(714\) −5.95269 + 10.9898i −0.222774 + 0.411281i
\(715\) −13.5328 29.6326i −0.506096 1.10820i
\(716\) 5.31789 + 5.07060i 0.198739 + 0.189497i
\(717\) 9.68241 + 27.9755i 0.361596 + 1.04476i
\(718\) −10.2952 + 5.30755i −0.384214 + 0.198076i
\(719\) −2.24160 + 6.47668i −0.0835975 + 0.241539i −0.979051 0.203616i \(-0.934730\pi\)
0.895453 + 0.445156i \(0.146852\pi\)
\(720\) 0.841267 + 5.85114i 0.0313522 + 0.218059i
\(721\) −0.265194 0.976493i −0.00987633 0.0363665i
\(722\) −16.4479 + 10.5704i −0.612129 + 0.393391i
\(723\) 3.77788 1.51243i 0.140501 0.0562481i
\(724\) 0.757811 + 1.06420i 0.0281638 + 0.0395506i
\(725\) 17.4999 + 24.5752i 0.649931 + 0.912701i
\(726\) 6.43810 2.57743i 0.238940 0.0956573i
\(727\) 28.0523 18.0281i 1.04040 0.668627i 0.0953171 0.995447i \(-0.469613\pi\)
0.945087 + 0.326820i \(0.105977\pi\)
\(728\) 30.9162 + 8.17199i 1.14583 + 0.302874i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 10.6948 30.9006i 0.395832 1.14368i
\(731\) 34.8465 17.9646i 1.28884 0.664444i
\(732\) −1.75051 5.05776i −0.0647006 0.186940i
\(733\) −7.23670 6.90018i −0.267294 0.254864i 0.544564 0.838719i \(-0.316695\pi\)
−0.811858 + 0.583855i \(0.801544\pi\)
\(734\) −3.95904 8.66909i −0.146131 0.319982i
\(735\) −27.1332 + 1.47654i −1.00082 + 0.0544629i
\(736\) −9.59746 + 19.2342i −0.353767 + 0.708983i
\(737\) −14.6406 25.3582i −0.539293 0.934083i
\(738\) −1.49956 0.143190i −0.0551994 0.00527090i
\(739\) −2.65989 + 10.9642i −0.0978455 + 0.403325i −0.999580 0.0289647i \(-0.990779\pi\)
0.901735 + 0.432289i \(0.142294\pi\)
\(740\) −2.60843 0.502733i −0.0958876 0.0184808i
\(741\) 2.68580 + 1.72606i 0.0986651 + 0.0634082i
\(742\) −16.4839 18.0101i −0.605141 0.661171i
\(743\) 2.54253 + 17.6837i 0.0932762 + 0.648750i 0.981800 + 0.189919i \(0.0608226\pi\)
−0.888524 + 0.458831i \(0.848268\pi\)
\(744\) −2.02914 8.36424i −0.0743920 0.306648i
\(745\) −4.17760 87.6986i −0.153055 3.21303i
\(746\) 15.5569 + 12.2341i 0.569577 + 0.447921i
\(747\) 14.7632 1.40971i 0.540157 0.0515788i
\(748\) −3.37526 + 7.39079i −0.123412 + 0.270234i
\(749\) −27.3415 + 11.8179i −0.999036 + 0.431817i
\(750\) −17.6383 + 11.3355i −0.644061 + 0.413913i
\(751\) 4.42551 + 18.2422i 0.161489 + 0.665667i 0.993783 + 0.111333i \(0.0355119\pi\)
−0.832294 + 0.554334i \(0.812973\pi\)
\(752\) −5.90906 2.36563i −0.215481 0.0862657i
\(753\) −2.59374 + 0.499901i −0.0945210 + 0.0182174i
\(754\) −0.601496 + 12.6270i −0.0219052 + 0.459847i
\(755\) 28.4897 32.8789i 1.03685 1.19659i
\(756\) −0.478755 + 2.23720i −0.0174121 + 0.0813664i
\(757\) 1.36663 + 2.99251i 0.0496711 + 0.108764i 0.932840 0.360290i \(-0.117322\pi\)
−0.883169 + 0.469054i \(0.844595\pi\)
\(758\) 16.8789 + 29.2351i 0.613069 + 1.06187i
\(759\) −10.0785 1.31385i −0.365826 0.0476897i
\(760\) 4.77667 8.27343i 0.173268 0.300109i
\(761\) −6.48572 + 9.10792i −0.235107 + 0.330162i −0.915227 0.402940i \(-0.867988\pi\)
0.680120 + 0.733101i \(0.261928\pi\)
\(762\) −20.4571 + 6.00675i −0.741083 + 0.217602i
\(763\) −6.68811 17.7479i −0.242126 0.642519i
\(764\) −12.5803 8.08486i −0.455139 0.292500i
\(765\) −5.62908 + 16.2641i −0.203520 + 0.588031i
\(766\) −2.00751 0.803684i −0.0725341 0.0290383i
\(767\) −11.5270 + 10.9910i −0.416215 + 0.396861i
\(768\) −14.5011 7.47584i −0.523263 0.269761i
\(769\) −1.98761 + 13.8241i −0.0716751 + 0.498512i 0.922086 + 0.386984i \(0.126483\pi\)
−0.993761 + 0.111527i \(0.964426\pi\)
\(770\) 23.0183 2.83118i 0.829523 0.102029i
\(771\) 5.18583 11.3554i 0.186763 0.408955i
\(772\) −7.69780 + 3.08173i −0.277050 + 0.110914i
\(773\) 0.443852