Properties

Label 576.2.bm.a.205.54
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.54
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.54

$q$-expansion

\(f(q)\) \(=\) \(q+(0.325071 + 1.37635i) q^{2} +(-1.01717 - 1.40191i) q^{3} +(-1.78866 + 0.894820i) q^{4} +(-2.77927 - 3.16915i) q^{5} +(1.59887 - 1.85570i) q^{6} +(-1.04166 - 0.137138i) q^{7} +(-1.81302 - 2.17093i) q^{8} +(-0.930729 + 2.85197i) q^{9} +O(q^{10})\) \(q+(0.325071 + 1.37635i) q^{2} +(-1.01717 - 1.40191i) q^{3} +(-1.78866 + 0.894820i) q^{4} +(-2.77927 - 3.16915i) q^{5} +(1.59887 - 1.85570i) q^{6} +(-1.04166 - 0.137138i) q^{7} +(-1.81302 - 2.17093i) q^{8} +(-0.930729 + 2.85197i) q^{9} +(3.45839 - 4.85544i) q^{10} +(2.72423 + 5.52419i) q^{11} +(3.07383 + 1.59736i) q^{12} +(-0.213037 - 0.627587i) q^{13} +(-0.149866 - 1.47827i) q^{14} +(-1.61589 + 7.11987i) q^{15} +(2.39859 - 3.20105i) q^{16} +(3.81355 + 3.81355i) q^{17} +(-4.22785 - 0.353913i) q^{18} +(0.464562 - 2.33551i) q^{19} +(7.80699 + 3.18158i) q^{20} +(0.867295 + 1.59982i) q^{21} +(-6.71763 + 5.54523i) q^{22} +(0.493898 + 3.75153i) q^{23} +(-1.19931 + 4.74991i) q^{24} +(-1.66654 + 12.6587i) q^{25} +(0.794525 - 0.497223i) q^{26} +(4.94493 - 1.59614i) q^{27} +(1.98589 - 0.686810i) q^{28} +(-4.78009 + 0.313304i) q^{29} +(-10.3247 + 0.0904407i) q^{30} +(1.86974 - 1.07949i) q^{31} +(5.18547 + 2.26073i) q^{32} +(4.97343 - 9.43817i) q^{33} +(-4.00909 + 6.48843i) q^{34} +(2.46046 + 3.68234i) q^{35} +(-0.887246 - 5.93404i) q^{36} +(0.122483 + 0.615761i) q^{37} +(3.36549 - 0.119808i) q^{38} +(-0.663129 + 0.937023i) q^{39} +(-1.84113 + 11.7794i) q^{40} +(0.296946 + 2.25553i) q^{41} +(-1.91997 + 1.71375i) q^{42} +(8.00495 - 3.94760i) q^{43} +(-9.81586 - 7.44319i) q^{44} +(11.6251 - 4.97678i) q^{45} +(-5.00285 + 1.89929i) q^{46} +(-6.55930 + 1.75756i) q^{47} +(-6.92738 - 0.106607i) q^{48} +(-5.69522 - 1.52603i) q^{49} +(-17.9644 + 1.82122i) q^{50} +(1.46724 - 9.22530i) q^{51} +(0.942628 + 0.931909i) q^{52} +(-6.39451 + 9.57006i) q^{53} +(3.80429 + 6.28708i) q^{54} +(9.93562 - 23.9867i) q^{55} +(1.59084 + 2.51002i) q^{56} +(-3.74672 + 1.72434i) q^{57} +(-1.98508 - 6.47721i) q^{58} +(-3.20476 - 3.65432i) q^{59} +(-3.48073 - 14.1809i) q^{60} +(-0.171790 - 2.62101i) q^{61} +(2.09355 + 2.22249i) q^{62} +(1.36062 - 2.84316i) q^{63} +(-1.42590 + 7.87190i) q^{64} +(-1.39683 + 2.41938i) q^{65} +(14.6069 + 3.77709i) q^{66} +(2.49712 + 1.23144i) q^{67} +(-10.2336 - 3.40869i) q^{68} +(4.75694 - 4.50834i) q^{69} +(-4.26835 + 4.58346i) q^{70} +(3.32459 + 8.02628i) q^{71} +(7.87887 - 3.15014i) q^{72} +(-3.27998 + 7.91857i) q^{73} +(-0.807685 + 0.368744i) q^{74} +(19.4415 - 10.5397i) q^{75} +(1.25892 + 4.59313i) q^{76} +(-2.08016 - 6.12794i) q^{77} +(-1.50523 - 0.608096i) q^{78} +(-0.439934 - 1.64186i) q^{79} +(-16.8110 + 1.29509i) q^{80} +(-7.26749 - 5.30883i) q^{81} +(-3.00786 + 1.14191i) q^{82} +(10.0213 + 8.78845i) q^{83} +(-2.98284 - 2.08545i) q^{84} +(1.48683 - 22.6846i) q^{85} +(8.03544 + 9.73433i) q^{86} +(5.30139 + 6.38260i) q^{87} +(7.05355 - 15.9296i) q^{88} +(-13.7772 + 5.70669i) q^{89} +(10.6288 + 14.3823i) q^{90} +(0.135847 + 0.682951i) q^{91} +(-4.24035 - 6.26825i) q^{92} +(-3.41520 - 1.52318i) q^{93} +(-4.55125 - 8.45653i) q^{94} +(-8.69273 + 5.01875i) q^{95} +(-2.10516 - 9.56913i) q^{96} +(6.87361 + 3.96848i) q^{97} +(0.248995 - 8.33467i) q^{98} +(-18.2903 + 2.62790i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.325071 + 1.37635i 0.229860 + 0.973224i
\(3\) −1.01717 1.40191i −0.587264 0.809396i
\(4\) −1.78866 + 0.894820i −0.894329 + 0.447410i
\(5\) −2.77927 3.16915i −1.24293 1.41729i −0.872635 0.488374i \(-0.837590\pi\)
−0.370294 0.928915i \(-0.620743\pi\)
\(6\) 1.59887 1.85570i 0.652735 0.757586i
\(7\) −1.04166 0.137138i −0.393712 0.0518332i −0.0689286 0.997622i \(-0.521958\pi\)
−0.324783 + 0.945788i \(0.605291\pi\)
\(8\) −1.81302 2.17093i −0.641000 0.767541i
\(9\) −0.930729 + 2.85197i −0.310243 + 0.950657i
\(10\) 3.45839 4.85544i 1.09364 1.53543i
\(11\) 2.72423 + 5.52419i 0.821385 + 1.66560i 0.743591 + 0.668635i \(0.233121\pi\)
0.0777948 + 0.996969i \(0.475212\pi\)
\(12\) 3.07383 + 1.59736i 0.887339 + 0.461118i
\(13\) −0.213037 0.627587i −0.0590859 0.174061i 0.913379 0.407110i \(-0.133463\pi\)
−0.972465 + 0.233048i \(0.925130\pi\)
\(14\) −0.149866 1.47827i −0.0400533 0.395084i
\(15\) −1.61589 + 7.11987i −0.417221 + 1.83834i
\(16\) 2.39859 3.20105i 0.599648 0.800264i
\(17\) 3.81355 + 3.81355i 0.924921 + 0.924921i 0.997372 0.0724509i \(-0.0230820\pi\)
−0.0724509 + 0.997372i \(0.523082\pi\)
\(18\) −4.22785 0.353913i −0.996515 0.0834180i
\(19\) 0.464562 2.33551i 0.106578 0.535803i −0.890199 0.455573i \(-0.849435\pi\)
0.996776 0.0802300i \(-0.0255655\pi\)
\(20\) 7.80699 + 3.18158i 1.74570 + 0.711423i
\(21\) 0.867295 + 1.59982i 0.189259 + 0.349109i
\(22\) −6.71763 + 5.54523i −1.43220 + 1.18225i
\(23\) 0.493898 + 3.75153i 0.102985 + 0.782247i 0.962528 + 0.271183i \(0.0874150\pi\)
−0.859543 + 0.511064i \(0.829252\pi\)
\(24\) −1.19931 + 4.74991i −0.244808 + 0.969572i
\(25\) −1.66654 + 12.6587i −0.333309 + 2.53173i
\(26\) 0.794525 0.497223i 0.155819 0.0975135i
\(27\) 4.94493 1.59614i 0.951652 0.307177i
\(28\) 1.98589 0.686810i 0.375299 0.129795i
\(29\) −4.78009 + 0.313304i −0.887641 + 0.0581790i −0.502398 0.864636i \(-0.667549\pi\)
−0.385242 + 0.922815i \(0.625882\pi\)
\(30\) −10.3247 + 0.0904407i −1.88502 + 0.0165121i
\(31\) 1.86974 1.07949i 0.335815 0.193883i −0.322605 0.946534i \(-0.604559\pi\)
0.658420 + 0.752651i \(0.271225\pi\)
\(32\) 5.18547 + 2.26073i 0.916671 + 0.399644i
\(33\) 4.97343 9.43817i 0.865764 1.64297i
\(34\) −4.00909 + 6.48843i −0.687553 + 1.11276i
\(35\) 2.46046 + 3.68234i 0.415893 + 0.622428i
\(36\) −0.887246 5.93404i −0.147874 0.989006i
\(37\) 0.122483 + 0.615761i 0.0201360 + 0.101231i 0.989546 0.144215i \(-0.0460657\pi\)
−0.969410 + 0.245446i \(0.921066\pi\)
\(38\) 3.36549 0.119808i 0.545954 0.0194355i
\(39\) −0.663129 + 0.937023i −0.106186 + 0.150044i
\(40\) −1.84113 + 11.7794i −0.291109 + 1.86248i
\(41\) 0.296946 + 2.25553i 0.0463752 + 0.352254i 0.998863 + 0.0476771i \(0.0151818\pi\)
−0.952488 + 0.304577i \(0.901485\pi\)
\(42\) −1.91997 + 1.71375i −0.296258 + 0.264438i
\(43\) 8.00495 3.94760i 1.22074 0.602004i 0.286308 0.958138i \(-0.407572\pi\)
0.934435 + 0.356134i \(0.115905\pi\)
\(44\) −9.81586 7.44319i −1.47980 1.12210i
\(45\) 11.6251 4.97678i 1.73297 0.741895i
\(46\) −5.00285 + 1.89929i −0.737629 + 0.280034i
\(47\) −6.55930 + 1.75756i −0.956772 + 0.256366i −0.703233 0.710959i \(-0.748261\pi\)
−0.253539 + 0.967325i \(0.581594\pi\)
\(48\) −6.92738 0.106607i −0.999882 0.0153873i
\(49\) −5.69522 1.52603i −0.813603 0.218004i
\(50\) −17.9644 + 1.82122i −2.54055 + 0.257559i
\(51\) 1.46724 9.22530i 0.205455 1.29180i
\(52\) 0.942628 + 0.931909i 0.130719 + 0.129233i
\(53\) −6.39451 + 9.57006i −0.878354 + 1.31455i 0.0700694 + 0.997542i \(0.477678\pi\)
−0.948423 + 0.317007i \(0.897322\pi\)
\(54\) 3.80429 + 6.28708i 0.517699 + 0.855563i
\(55\) 9.93562 23.9867i 1.33972 3.23437i
\(56\) 1.59084 + 2.51002i 0.212586 + 0.335415i
\(57\) −3.74672 + 1.72434i −0.496266 + 0.228394i
\(58\) −1.98508 6.47721i −0.260654 0.850500i
\(59\) −3.20476 3.65432i −0.417224 0.475752i 0.504605 0.863350i \(-0.331638\pi\)
−0.921829 + 0.387598i \(0.873305\pi\)
\(60\) −3.48073 14.1809i −0.449361 1.83075i
\(61\) −0.171790 2.62101i −0.0219955 0.335586i −0.994648 0.103321i \(-0.967053\pi\)
0.972653 0.232265i \(-0.0746137\pi\)
\(62\) 2.09355 + 2.22249i 0.265882 + 0.282257i
\(63\) 1.36062 2.84316i 0.171422 0.358204i
\(64\) −1.42590 + 7.87190i −0.178237 + 0.983988i
\(65\) −1.39683 + 2.41938i −0.173256 + 0.300088i
\(66\) 14.6069 + 3.77709i 1.79799 + 0.464928i
\(67\) 2.49712 + 1.23144i 0.305072 + 0.150445i 0.588381 0.808584i \(-0.299766\pi\)
−0.283309 + 0.959029i \(0.591432\pi\)
\(68\) −10.2336 3.40869i −1.24100 0.413365i
\(69\) 4.75694 4.50834i 0.572668 0.542741i
\(70\) −4.26835 + 4.58346i −0.510165 + 0.547829i
\(71\) 3.32459 + 8.02628i 0.394557 + 0.952544i 0.988934 + 0.148358i \(0.0473987\pi\)
−0.594377 + 0.804187i \(0.702601\pi\)
\(72\) 7.87887 3.15014i 0.928534 0.371248i
\(73\) −3.27998 + 7.91857i −0.383893 + 0.926799i 0.607312 + 0.794463i \(0.292248\pi\)
−0.991205 + 0.132336i \(0.957752\pi\)
\(74\) −0.807685 + 0.368744i −0.0938915 + 0.0428657i
\(75\) 19.4415 10.5397i 2.24491 1.21701i
\(76\) 1.25892 + 4.59313i 0.144408 + 0.526868i
\(77\) −2.08016 6.12794i −0.237056 0.698344i
\(78\) −1.50523 0.608096i −0.170434 0.0688533i
\(79\) −0.439934 1.64186i −0.0494964 0.184723i 0.936752 0.349995i \(-0.113817\pi\)
−0.986248 + 0.165272i \(0.947150\pi\)
\(80\) −16.8110 + 1.29509i −1.87952 + 0.144796i
\(81\) −7.26749 5.30883i −0.807498 0.589870i
\(82\) −3.00786 + 1.14191i −0.332162 + 0.126103i
\(83\) 10.0213 + 8.78845i 1.09998 + 0.964658i 0.999541 0.0302851i \(-0.00964153\pi\)
0.100440 + 0.994943i \(0.467975\pi\)
\(84\) −2.98284 2.08545i −0.325455 0.227541i
\(85\) 1.48683 22.6846i 0.161269 2.46049i
\(86\) 8.03544 + 9.73433i 0.866484 + 1.04968i
\(87\) 5.30139 + 6.38260i 0.568369 + 0.684286i
\(88\) 7.05355 15.9296i 0.751911 1.69810i
\(89\) −13.7772 + 5.70669i −1.46038 + 0.604908i −0.964641 0.263566i \(-0.915101\pi\)
−0.495735 + 0.868474i \(0.665101\pi\)
\(90\) 10.6288 + 14.3823i 1.12037 + 1.51603i
\(91\) 0.135847 + 0.682951i 0.0142407 + 0.0715927i
\(92\) −4.24035 6.26825i −0.442088 0.653510i
\(93\) −3.41520 1.52318i −0.354140 0.157947i
\(94\) −4.55125 8.45653i −0.469425 0.872225i
\(95\) −8.69273 + 5.01875i −0.891855 + 0.514913i
\(96\) −2.10516 9.56913i −0.214857 0.976645i
\(97\) 6.87361 + 3.96848i 0.697909 + 0.402938i 0.806568 0.591141i \(-0.201322\pi\)
−0.108659 + 0.994079i \(0.534656\pi\)
\(98\) 0.248995 8.33467i 0.0251523 0.841929i
\(99\) −18.2903 + 2.62790i −1.83825 + 0.264114i
\(100\) −8.34634 24.1333i −0.834634 2.41333i
\(101\) −0.503312 0.170851i −0.0500814 0.0170003i 0.296286 0.955099i \(-0.404252\pi\)
−0.346368 + 0.938099i \(0.612585\pi\)
\(102\) 13.1742 0.979443i 1.30444 0.0969793i
\(103\) 12.9598 + 9.94443i 1.27697 + 0.979854i 0.999819 + 0.0190280i \(0.00605715\pi\)
0.277152 + 0.960826i \(0.410610\pi\)
\(104\) −0.976208 + 1.60032i −0.0957251 + 0.156924i
\(105\) 2.65962 7.19492i 0.259552 0.702152i
\(106\) −15.2504 5.69011i −1.48125 0.552673i
\(107\) 0.654505 + 0.437326i 0.0632734 + 0.0422779i 0.586805 0.809729i \(-0.300386\pi\)
−0.523531 + 0.852006i \(0.675386\pi\)
\(108\) −7.41653 + 7.27977i −0.713656 + 0.700496i
\(109\) −2.63117 + 13.2278i −0.252020 + 1.26699i 0.622737 + 0.782431i \(0.286021\pi\)
−0.874757 + 0.484561i \(0.838979\pi\)
\(110\) 36.2438 + 5.87747i 3.45571 + 0.560395i
\(111\) 0.738659 0.798044i 0.0701104 0.0757470i
\(112\) −2.93751 + 3.00549i −0.277569 + 0.283992i
\(113\) 4.07707 + 1.09245i 0.383539 + 0.102769i 0.445436 0.895314i \(-0.353049\pi\)
−0.0618977 + 0.998082i \(0.519715\pi\)
\(114\) −3.59123 4.59626i −0.336350 0.430479i
\(115\) 10.5165 11.9917i 0.980667 1.11824i
\(116\) 8.26960 4.83771i 0.767813 0.449171i
\(117\) 1.98814 0.0234622i 0.183804 0.00216908i
\(118\) 3.98784 5.59877i 0.367111 0.515408i
\(119\) −3.44945 4.49542i −0.316211 0.412094i
\(120\) 18.3864 9.40050i 1.67844 0.858145i
\(121\) −16.3988 + 21.3714i −1.49080 + 1.94285i
\(122\) 3.55158 1.08846i 0.321545 0.0985444i
\(123\) 2.86001 2.71055i 0.257879 0.244402i
\(124\) −2.37837 + 3.60392i −0.213584 + 0.323642i
\(125\) 27.2249 18.1911i 2.43507 1.62706i
\(126\) 4.35547 + 0.948456i 0.388016 + 0.0844952i
\(127\) 2.24205 0.198949 0.0994747 0.995040i \(-0.468284\pi\)
0.0994747 + 0.995040i \(0.468284\pi\)
\(128\) −11.2980 + 0.596399i −0.998610 + 0.0527147i
\(129\) −13.6766 7.20687i −1.20416 0.634529i
\(130\) −3.78398 1.13605i −0.331877 0.0996384i
\(131\) −2.65929 1.31142i −0.232343 0.114579i 0.322391 0.946607i \(-0.395513\pi\)
−0.554734 + 0.832028i \(0.687180\pi\)
\(132\) −0.450306 + 21.3320i −0.0391941 + 1.85671i
\(133\) −0.804204 + 2.36911i −0.0697333 + 0.205428i
\(134\) −0.883151 + 3.83721i −0.0762926 + 0.331484i
\(135\) −18.8017 11.2351i −1.61819 0.966967i
\(136\) 1.36491 15.1930i 0.117040 1.30279i
\(137\) −1.25481 1.63529i −0.107205 0.139713i 0.736669 0.676253i \(-0.236397\pi\)
−0.843874 + 0.536541i \(0.819731\pi\)
\(138\) 7.75138 + 5.08167i 0.659842 + 0.432580i
\(139\) −20.0259 1.31257i −1.69858 0.111331i −0.814954 0.579526i \(-0.803238\pi\)
−0.883625 + 0.468196i \(0.844904\pi\)
\(140\) −7.69595 4.38477i −0.650426 0.370581i
\(141\) 9.13587 + 7.40784i 0.769379 + 0.623853i
\(142\) −9.96621 + 7.18490i −0.836346 + 0.602944i
\(143\) 2.88655 2.88655i 0.241385 0.241385i
\(144\) 6.89687 + 9.82004i 0.574740 + 0.818336i
\(145\) 14.2781 + 14.2781i 1.18573 + 1.18573i
\(146\) −11.9649 1.94029i −0.990224 0.160580i
\(147\) 3.65365 + 9.53645i 0.301348 + 0.786553i
\(148\) −0.770075 0.991786i −0.0632998 0.0815243i
\(149\) −0.839144 + 12.8029i −0.0687454 + 1.04885i 0.814568 + 0.580068i \(0.196974\pi\)
−0.883313 + 0.468783i \(0.844692\pi\)
\(150\) 20.8261 + 23.3321i 1.70044 + 1.90506i
\(151\) −1.89033 + 1.45050i −0.153833 + 0.118040i −0.682810 0.730596i \(-0.739242\pi\)
0.528977 + 0.848636i \(0.322576\pi\)
\(152\) −5.91250 + 3.22580i −0.479567 + 0.261647i
\(153\) −14.4255 + 7.32675i −1.16623 + 0.592333i
\(154\) 7.75797 4.85503i 0.625155 0.391229i
\(155\) −8.61759 2.92528i −0.692181 0.234964i
\(156\) 0.347643 2.26939i 0.0278337 0.181697i
\(157\) 6.38682 12.9512i 0.509724 1.03362i −0.478138 0.878284i \(-0.658688\pi\)
0.987862 0.155333i \(-0.0496451\pi\)
\(158\) 2.11675 1.13922i 0.168400 0.0906316i
\(159\) 19.9207 0.769824i 1.57982 0.0610510i
\(160\) −7.24725 22.7167i −0.572946 1.79591i
\(161\) 3.97556i 0.313318i
\(162\) 4.94434 11.7283i 0.388464 0.921464i
\(163\) 1.23977 + 1.85545i 0.0971067 + 0.145330i 0.876842 0.480779i \(-0.159646\pi\)
−0.779735 + 0.626110i \(0.784646\pi\)
\(164\) −2.54943 3.76865i −0.199077 0.294282i
\(165\) −43.7335 + 10.4697i −3.40465 + 0.815063i
\(166\) −8.83832 + 16.6497i −0.685986 + 1.29226i
\(167\) 8.77154 + 6.73064i 0.678762 + 0.520832i 0.889630 0.456682i \(-0.150962\pi\)
−0.210868 + 0.977515i \(0.567629\pi\)
\(168\) 1.90067 4.78334i 0.146640 0.369043i
\(169\) 9.96511 7.64650i 0.766547 0.588192i
\(170\) 31.7052 5.32771i 2.43168 0.408617i
\(171\) 6.22843 + 3.49864i 0.476300 + 0.267548i
\(172\) −10.7857 + 14.2239i −0.822403 + 1.08456i
\(173\) 0.0590412 + 0.0517777i 0.00448882 + 0.00393659i 0.661587 0.749868i \(-0.269883\pi\)
−0.657098 + 0.753805i \(0.728216\pi\)
\(174\) −7.06133 + 9.37135i −0.535318 + 0.710440i
\(175\) 3.47196 12.9575i 0.262455 0.979497i
\(176\) 24.2175 + 4.52988i 1.82547 + 0.341453i
\(177\) −1.86327 + 8.20986i −0.140052 + 0.617091i
\(178\) −12.3329 17.1071i −0.924393 1.28223i
\(179\) 13.2109 + 2.62781i 0.987427 + 0.196411i 0.662284 0.749253i \(-0.269587\pi\)
0.325143 + 0.945665i \(0.394587\pi\)
\(180\) −16.3400 + 19.3041i −1.21791 + 1.43884i
\(181\) 2.64993 3.96590i 0.196968 0.294783i −0.719818 0.694163i \(-0.755775\pi\)
0.916785 + 0.399380i \(0.130775\pi\)
\(182\) −0.895817 + 0.408980i −0.0664023 + 0.0303156i
\(183\) −3.49970 + 2.90685i −0.258705 + 0.214881i
\(184\) 7.24886 7.87382i 0.534393 0.580466i
\(185\) 1.61103 2.09953i 0.118445 0.154361i
\(186\) 0.986246 5.19564i 0.0723151 0.380963i
\(187\) −10.6778 + 31.4557i −0.780836 + 2.30027i
\(188\) 10.1596 9.01306i 0.740968 0.657345i
\(189\) −5.36985 + 0.984503i −0.390599 + 0.0716121i
\(190\) −9.73329 10.3328i −0.706127 0.749617i
\(191\) 9.49234 16.4412i 0.686842 1.18964i −0.286012 0.958226i \(-0.592330\pi\)
0.972854 0.231419i \(-0.0743368\pi\)
\(192\) 12.4861 6.00808i 0.901107 0.433596i
\(193\) −10.3238 17.8813i −0.743120 1.28712i −0.951068 0.308982i \(-0.900012\pi\)
0.207947 0.978140i \(-0.433322\pi\)
\(194\) −3.22759 + 10.7505i −0.231728 + 0.771841i
\(195\) 4.81258 0.502686i 0.344636 0.0359981i
\(196\) 11.5523 2.36665i 0.825166 0.169047i
\(197\) 15.2135 3.02615i 1.08392 0.215604i 0.379358 0.925250i \(-0.376145\pi\)
0.704559 + 0.709646i \(0.251145\pi\)
\(198\) −9.56255 24.3196i −0.679581 1.72832i
\(199\) 0.105795 + 0.255412i 0.00749960 + 0.0181056i 0.927585 0.373612i \(-0.121881\pi\)
−0.920085 + 0.391718i \(0.871881\pi\)
\(200\) 30.5026 19.3325i 2.15686 1.36701i
\(201\) −0.813617 4.75333i −0.0573881 0.335274i
\(202\) 0.0715386 0.748270i 0.00503343 0.0526481i
\(203\) 5.02222 + 0.329173i 0.352490 + 0.0231034i
\(204\) 5.63059 + 17.8138i 0.394220 + 1.24722i
\(205\) 6.32282 7.20979i 0.441605 0.503554i
\(206\) −9.47412 + 21.0699i −0.660093 + 1.46801i
\(207\) −11.1589 2.08307i −0.775599 0.144784i
\(208\) −2.51993 0.823383i −0.174726 0.0570914i
\(209\) 14.1674 3.79613i 0.979977 0.262584i
\(210\) 10.7673 + 1.32169i 0.743011 + 0.0912056i
\(211\) 0.0959312 0.0325643i 0.00660418 0.00224182i −0.318135 0.948045i \(-0.603057\pi\)
0.324740 + 0.945803i \(0.394723\pi\)
\(212\) 2.87411 22.8395i 0.197395 1.56862i
\(213\) 7.87048 12.8249i 0.539277 0.878747i
\(214\) −0.389152 + 1.04299i −0.0266019 + 0.0712972i
\(215\) −34.7585 14.3974i −2.37051 0.981897i
\(216\) −12.4304 7.84128i −0.845780 0.533531i
\(217\) −2.09568 + 0.868058i −0.142264 + 0.0589276i
\(218\) −19.0613 + 0.678567i −1.29100 + 0.0459583i
\(219\) 14.4375 3.45628i 0.975593 0.233554i
\(220\) 3.69237 + 51.7946i 0.248939 + 3.49199i
\(221\) 1.58091 3.20576i 0.106343 0.215643i
\(222\) 1.33850 + 0.757230i 0.0898343 + 0.0508219i
\(223\) −8.62308 4.97854i −0.577444 0.333388i 0.182673 0.983174i \(-0.441525\pi\)
−0.760117 + 0.649786i \(0.774858\pi\)
\(224\) −5.09149 3.06604i −0.340189 0.204858i
\(225\) −34.5510 16.5347i −2.30340 1.10231i
\(226\) −0.178249 + 5.96658i −0.0118570 + 0.396891i
\(227\) −15.5709 + 1.02057i −1.03348 + 0.0677377i −0.572689 0.819773i \(-0.694100\pi\)
−0.460788 + 0.887510i \(0.652433\pi\)
\(228\) 5.15864 6.43689i 0.341639 0.426293i
\(229\) −4.96550 + 4.35462i −0.328129 + 0.287762i −0.807520 0.589840i \(-0.799191\pi\)
0.479391 + 0.877601i \(0.340858\pi\)
\(230\) 19.9234 + 10.5762i 1.31371 + 0.697371i
\(231\) −6.47498 + 9.14936i −0.426022 + 0.601984i
\(232\) 9.34658 + 9.80923i 0.613633 + 0.644007i
\(233\) −5.41169 2.24160i −0.354532 0.146852i 0.198307 0.980140i \(-0.436456\pi\)
−0.552839 + 0.833288i \(0.686456\pi\)
\(234\) 0.678579 + 2.72874i 0.0443601 + 0.178384i
\(235\) 23.8000 + 15.9027i 1.55254 + 1.03738i
\(236\) 9.00217 + 3.66865i 0.585992 + 0.238809i
\(237\) −1.85425 + 2.28680i −0.120447 + 0.148543i
\(238\) 5.06593 6.20897i 0.328376 0.402468i
\(239\) −0.924224 + 3.44925i −0.0597831 + 0.223113i −0.989354 0.145530i \(-0.953511\pi\)
0.929571 + 0.368644i \(0.120178\pi\)
\(240\) 18.9152 + 22.2502i 1.22097 + 1.43625i
\(241\) −4.20072 15.6773i −0.270592 1.00986i −0.958738 0.284291i \(-0.908242\pi\)
0.688146 0.725572i \(-0.258425\pi\)
\(242\) −34.7452 15.6233i −2.23351 1.00430i
\(243\) −0.0502517 + 15.5884i −0.00322365 + 0.999995i
\(244\) 2.65261 + 4.53438i 0.169816 + 0.290284i
\(245\) 10.9924 + 22.2903i 0.702276 + 1.42407i
\(246\) 4.66036 + 3.05525i 0.297134 + 0.194795i
\(247\) −1.56471 + 0.205997i −0.0995598 + 0.0131073i
\(248\) −5.73338 2.10193i −0.364070 0.133473i
\(249\) 2.12728 22.9884i 0.134811 1.45683i
\(250\) 33.8873 + 31.5575i 2.14322 + 1.99587i
\(251\) 9.10700 1.81149i 0.574828 0.114340i 0.100889 0.994898i \(-0.467831\pi\)
0.473940 + 0.880557i \(0.342831\pi\)
\(252\) 0.110432 + 6.30295i 0.00695655 + 0.397048i
\(253\) −19.3786 + 12.9484i −1.21832 + 0.814058i
\(254\) 0.728824 + 3.08583i 0.0457305 + 0.193622i
\(255\) −33.3142 + 20.9897i −2.08622 + 1.31443i
\(256\) −4.49350 15.3561i −0.280843 0.959754i
\(257\) 5.36066 + 9.28493i 0.334389 + 0.579178i 0.983367 0.181628i \(-0.0581368\pi\)
−0.648978 + 0.760807i \(0.724803\pi\)
\(258\) 5.47328 21.1665i 0.340752 1.31777i
\(259\) −0.0431416 0.658213i −0.00268069 0.0408994i
\(260\) 0.333541 5.57736i 0.0206853 0.345893i
\(261\) 3.55544 13.9243i 0.220076 0.861892i
\(262\) 0.940505 4.08640i 0.0581046 0.252459i
\(263\) 16.7962 + 2.21126i 1.03570 + 0.136352i 0.629156 0.777279i \(-0.283401\pi\)
0.406543 + 0.913632i \(0.366734\pi\)
\(264\) −29.5066 + 6.31463i −1.81600 + 0.388639i
\(265\) 48.1011 6.33263i 2.95483 0.389010i
\(266\) −3.52214 0.336735i −0.215956 0.0206465i
\(267\) 22.0140 + 13.5097i 1.34724 + 0.826782i
\(268\) −5.56841 + 0.0318425i −0.340145 + 0.00194509i
\(269\) −27.5667 5.48337i −1.68077 0.334327i −0.739805 0.672821i \(-0.765082\pi\)
−0.940968 + 0.338494i \(0.890082\pi\)
\(270\) 9.35155 29.5299i 0.569117 1.79713i
\(271\) −3.19159 + 3.19159i −0.193876 + 0.193876i −0.797368 0.603493i \(-0.793775\pi\)
0.603493 + 0.797368i \(0.293775\pi\)
\(272\) 21.3545 3.06022i 1.29481 0.185553i
\(273\) 0.819259 0.885123i 0.0495838 0.0535701i
\(274\) 1.84283 2.25863i 0.111329 0.136449i
\(275\) −74.4688 + 25.2788i −4.49064 + 1.52437i
\(276\) −4.47438 + 12.3205i −0.269326 + 0.741606i
\(277\) −28.2139 + 13.9136i −1.69521 + 0.835986i −0.703034 + 0.711157i \(0.748172\pi\)
−0.992178 + 0.124829i \(0.960162\pi\)
\(278\) −4.70330 27.9893i −0.282085 1.67869i
\(279\) 1.33847 + 6.33715i 0.0801318 + 0.379396i
\(280\) 3.53324 12.0176i 0.211151 0.718192i
\(281\) −0.556896 + 4.23004i −0.0332216 + 0.252343i −0.999995 0.00329328i \(-0.998952\pi\)
0.966773 + 0.255637i \(0.0822850\pi\)
\(282\) −7.22595 + 14.9822i −0.430299 + 0.892177i
\(283\) −1.14191 + 1.00143i −0.0678798 + 0.0595290i −0.692614 0.721309i \(-0.743541\pi\)
0.624734 + 0.780838i \(0.285208\pi\)
\(284\) −13.1286 11.3814i −0.779041 0.675359i
\(285\) 15.8778 + 7.08154i 0.940523 + 0.419474i
\(286\) 4.91122 + 3.03456i 0.290407 + 0.179437i
\(287\) 2.39023i 0.141091i
\(288\) −11.2738 + 12.6847i −0.664315 + 0.747453i
\(289\) 12.0863i 0.710958i
\(290\) −15.0102 + 24.2930i −0.881429 + 1.42653i
\(291\) −1.42816 13.6728i −0.0837202 0.801515i
\(292\) −1.21894 17.0986i −0.0713328 1.00062i
\(293\) −11.9194 + 10.4530i −0.696338 + 0.610672i −0.932555 0.361029i \(-0.882426\pi\)
0.236217 + 0.971700i \(0.424092\pi\)
\(294\) −11.9378 + 8.12871i −0.696224 + 0.474076i
\(295\) −2.67422 + 20.3127i −0.155699 + 1.18265i
\(296\) 1.11471 1.38229i 0.0647913 0.0803440i
\(297\) 22.2885 + 22.9685i 1.29331 + 1.33277i
\(298\) −17.8940 + 3.00689i −1.03657 + 0.174184i
\(299\) 2.24919 1.10918i 0.130074 0.0641454i
\(300\) −25.3431 + 36.2485i −1.46319 + 2.09281i
\(301\) −8.87983 + 3.01430i −0.511825 + 0.173741i
\(302\) −2.61088 2.13023i −0.150239 0.122581i
\(303\) 0.272435 + 0.879385i 0.0156510 + 0.0505193i
\(304\) −6.36180 7.08903i −0.364874 0.406584i
\(305\) −7.82894 + 7.82894i −0.448284 + 0.448284i
\(306\) −14.7735 17.4728i −0.844542 0.998853i
\(307\) −19.6748 3.91355i −1.12290 0.223358i −0.401486 0.915865i \(-0.631506\pi\)
−0.721411 + 0.692507i \(0.756506\pi\)
\(308\) 9.20409 + 9.09942i 0.524452 + 0.518488i
\(309\) 0.758885 28.2838i 0.0431714 1.60901i
\(310\) 1.22487 12.8117i 0.0695678 0.727656i
\(311\) −30.8668 + 4.06369i −1.75029 + 0.230431i −0.936486 0.350704i \(-0.885942\pi\)
−0.813807 + 0.581135i \(0.802609\pi\)
\(312\) 3.23648 0.259237i 0.183230 0.0146764i
\(313\) −1.08153 0.142387i −0.0611319 0.00804816i 0.0998982 0.994998i \(-0.468148\pi\)
−0.161030 + 0.986949i \(0.551482\pi\)
\(314\) 19.9015 + 4.58042i 1.12311 + 0.258488i
\(315\) −12.7919 + 3.58990i −0.720744 + 0.202268i
\(316\) 2.25606 + 2.54306i 0.126913 + 0.143058i
\(317\) −1.56364 23.8566i −0.0878228 1.33992i −0.783423 0.621489i \(-0.786528\pi\)
0.695600 0.718429i \(-0.255138\pi\)
\(318\) 7.53519 + 27.1676i 0.422552 + 1.52348i
\(319\) −14.7528 25.5526i −0.825998 1.43067i
\(320\) 28.9102 17.3593i 1.61613 0.970413i
\(321\) −0.0526490 1.36240i −0.00293858 0.0760415i
\(322\) 5.47175 1.29234i 0.304929 0.0720193i
\(323\) 10.6782 7.13495i 0.594151 0.396999i
\(324\) 17.7495 + 2.99258i 0.986083 + 0.166255i
\(325\) 8.29945 1.65086i 0.460370 0.0915734i
\(326\) −2.15073 + 2.30951i −0.119118 + 0.127912i
\(327\) 21.2206 9.76623i 1.17350 0.540074i
\(328\) 4.35823 4.73397i 0.240643 0.261390i
\(329\) 7.07361 0.931259i 0.389981 0.0513420i
\(330\) −28.6264 56.7891i −1.57583 3.12614i
\(331\) −4.97926 10.0969i −0.273685 0.554978i 0.716023 0.698076i \(-0.245960\pi\)
−0.989709 + 0.143098i \(0.954294\pi\)
\(332\) −25.7888 6.75226i −1.41534 0.370579i
\(333\) −1.87013 0.223790i −0.102483 0.0122636i
\(334\) −6.41232 + 14.2606i −0.350866 + 0.780306i
\(335\) −3.03754 11.3363i −0.165959 0.619366i
\(336\) 7.20139 + 1.06105i 0.392868 + 0.0578852i
\(337\) 2.50436 9.34641i 0.136421 0.509131i −0.863567 0.504235i \(-0.831775\pi\)
0.999988 0.00489662i \(-0.00155865\pi\)
\(338\) 13.7636 + 11.2298i 0.748641 + 0.610820i
\(339\) −2.61556 6.82691i −0.142058 0.370787i
\(340\) 17.6392 + 41.9054i 0.956621 + 2.27264i
\(341\) 11.0569 + 7.38799i 0.598765 + 0.400082i
\(342\) −2.79067 + 9.70978i −0.150902 + 0.525045i
\(343\) 12.5180 + 5.18511i 0.675907 + 0.279970i
\(344\) −23.0831 10.2211i −1.24456 0.551085i
\(345\) −27.5085 2.54556i −1.48101 0.137048i
\(346\) −0.0520715 + 0.0980926i −0.00279938 + 0.00527349i
\(347\) −13.3164 + 11.6781i −0.714860 + 0.626915i −0.937500 0.347985i \(-0.886866\pi\)
0.222640 + 0.974901i \(0.428533\pi\)
\(348\) −15.1937 6.67249i −0.814465 0.357683i
\(349\) −13.4313 + 0.880336i −0.718963 + 0.0471233i −0.420493 0.907296i \(-0.638143\pi\)
−0.298470 + 0.954419i \(0.596476\pi\)
\(350\) 18.9627 + 0.566503i 1.01360 + 0.0302808i
\(351\) −2.05517 2.76334i −0.109697 0.147496i
\(352\) 1.63773 + 34.8042i 0.0872914 + 1.85507i
\(353\) −0.463530 0.267619i −0.0246712 0.0142439i 0.487614 0.873060i \(-0.337867\pi\)
−0.512285 + 0.858816i \(0.671201\pi\)
\(354\) −11.9053 + 0.104286i −0.632760 + 0.00554276i
\(355\) 16.1966 32.8434i 0.859624 1.74314i
\(356\) 19.5362 22.5354i 1.03542 1.19437i
\(357\) −2.79351 + 9.40845i −0.147848 + 0.497948i
\(358\) 0.677699 + 19.0370i 0.0358175 + 1.00613i
\(359\) 1.75421 0.726617i 0.0925836 0.0383494i −0.335911 0.941894i \(-0.609044\pi\)
0.428495 + 0.903544i \(0.359044\pi\)
\(360\) −31.8808 16.2143i −1.68027 0.854566i
\(361\) 12.3149 + 5.10101i 0.648154 + 0.268474i
\(362\) 6.31987 + 2.35802i 0.332165 + 0.123935i
\(363\) 46.6413 + 1.25144i 2.44803 + 0.0656834i
\(364\) −0.854102 1.10001i −0.0447671 0.0576560i
\(365\) 34.2111 11.6131i 1.79069 0.607858i
\(366\) −5.13848 3.87186i −0.268593 0.202385i
\(367\) 16.9104 4.53112i 0.882714 0.236523i 0.211136 0.977457i \(-0.432284\pi\)
0.671578 + 0.740934i \(0.265617\pi\)
\(368\) 13.1935 + 7.41739i 0.687759 + 0.386658i
\(369\) −6.70908 1.25240i −0.349261 0.0651976i
\(370\) 3.41338 + 1.53484i 0.177453 + 0.0797923i
\(371\) 7.97335 9.09186i 0.413956 0.472026i
\(372\) 7.47160 0.331534i 0.387384 0.0171893i
\(373\) −2.95335 0.193573i −0.152918 0.0100228i −0.0112484 0.999937i \(-0.503581\pi\)
−0.141670 + 0.989914i \(0.545247\pi\)
\(374\) −46.7650 4.47098i −2.41816 0.231189i
\(375\) −53.1948 19.6636i −2.74697 1.01542i
\(376\) 15.7077 + 11.0533i 0.810063 + 0.570030i
\(377\) 1.21496 + 2.93318i 0.0625738 + 0.151066i
\(378\) −3.10060 7.07074i −0.159478 0.363679i
\(379\) 6.82893 1.35836i 0.350778 0.0697742i −0.0165564 0.999863i \(-0.505270\pi\)
0.367335 + 0.930089i \(0.380270\pi\)
\(380\) 11.0574 16.7553i 0.567235 0.859527i
\(381\) −2.28054 3.14316i −0.116836 0.161029i
\(382\) 25.7145 + 7.72019i 1.31567 + 0.394999i
\(383\) 15.1284 + 26.2031i 0.773025 + 1.33892i 0.935898 + 0.352271i \(0.114591\pi\)
−0.162873 + 0.986647i \(0.552076\pi\)
\(384\) 12.3281 + 15.2322i 0.629114 + 0.777313i
\(385\) −13.6391 + 23.6235i −0.695111 + 1.20397i
\(386\) 21.2549 20.0217i 1.08184 1.01908i
\(387\) 3.80801 + 26.5040i 0.193572 + 1.34728i
\(388\) −15.8456 0.947609i −0.804439 0.0481075i
\(389\) 2.60649 7.67847i 0.132154 0.389314i −0.860630 0.509232i \(-0.829930\pi\)
0.992784 + 0.119918i \(0.0382630\pi\)
\(390\) 2.25630 + 6.46037i 0.114252 + 0.327134i
\(391\) −12.4231 + 16.1901i −0.628264 + 0.818770i
\(392\) 7.01266 + 15.1307i 0.354193 + 0.764214i
\(393\) 0.866456 + 5.06203i 0.0437069 + 0.255345i
\(394\) 9.11050 + 19.9553i 0.458980 + 1.00533i
\(395\) −3.98060 + 5.95738i −0.200286 + 0.299748i
\(396\) 30.3637 21.0670i 1.52583 1.05866i
\(397\) −5.62716 1.11931i −0.282419 0.0561767i 0.0518481 0.998655i \(-0.483489\pi\)
−0.334267 + 0.942478i \(0.608489\pi\)
\(398\) −0.317144 + 0.228637i −0.0158970 + 0.0114606i
\(399\) 4.13930 1.28236i 0.207224 0.0641984i
\(400\) 36.5237 + 35.6977i 1.82618 + 1.78488i
\(401\) 0.133200 0.497107i 0.00665167 0.0248244i −0.962520 0.271210i \(-0.912576\pi\)
0.969172 + 0.246385i \(0.0792429\pi\)
\(402\) 6.27775 2.66499i 0.313106 0.132918i
\(403\) −1.07580 0.943451i −0.0535894 0.0469967i
\(404\) 1.05313 0.144779i 0.0523953 0.00720302i
\(405\) 3.37384 + 37.7865i 0.167647 + 1.87762i
\(406\) 1.17952 + 7.01931i 0.0585386 + 0.348363i
\(407\) −3.06791 + 2.35409i −0.152071 + 0.116688i
\(408\) −22.6876 + 13.5404i −1.12321 + 0.670349i
\(409\) 23.6472 + 18.1452i 1.16928 + 0.897220i 0.996149 0.0876787i \(-0.0279449\pi\)
0.173131 + 0.984899i \(0.444612\pi\)
\(410\) 11.9785 + 6.35869i 0.591578 + 0.314034i
\(411\) −1.01619 + 3.42250i −0.0501251 + 0.168820i
\(412\) −32.0792 6.19046i −1.58043 0.304982i
\(413\) 2.83713 + 4.24607i 0.139606 + 0.208936i
\(414\) −0.760414 16.0357i −0.0373723 0.788112i
\(415\) 56.1846i 2.75799i
\(416\) 0.314105 3.73595i 0.0154002 0.183170i
\(417\) 18.5297 + 29.4098i 0.907403 + 1.44020i
\(418\) 9.83019 + 18.2652i 0.480810 + 0.893379i
\(419\) 14.9900 30.3967i 0.732309 1.48498i −0.136928 0.990581i \(-0.543723\pi\)
0.869237 0.494395i \(-0.164610\pi\)
\(420\) 1.68101 + 15.2491i 0.0820250 + 0.744081i
\(421\) 19.3470 + 6.56742i 0.942915 + 0.320076i 0.750224 0.661183i \(-0.229945\pi\)
0.192690 + 0.981260i \(0.438279\pi\)
\(422\) 0.0760042 + 0.121449i 0.00369982 + 0.00591204i
\(423\) 1.09242 20.3427i 0.0531154 0.989098i
\(424\) 32.3694 3.46869i 1.57199 0.168454i
\(425\) −54.6298 + 41.9189i −2.64994 + 2.03337i
\(426\) 20.2100 + 6.66351i 0.979175 + 0.322848i
\(427\) −0.180492 + 2.75377i −0.00873462 + 0.133265i
\(428\) −1.56201 0.196563i −0.0755028 0.00950122i
\(429\) −6.98280 1.11058i −0.337133 0.0536194i
\(430\) 8.51689 52.5199i 0.410721 2.53273i
\(431\) −16.9026 16.9026i −0.814168 0.814168i 0.171088 0.985256i \(-0.445272\pi\)
−0.985256 + 0.171088i \(0.945272\pi\)
\(432\) 6.75156 19.6575i 0.324834 0.945771i
\(433\) −3.56897 + 3.56897i −0.171514 + 0.171514i −0.787644 0.616130i \(-0.788699\pi\)
0.616130 + 0.787644i \(0.288699\pi\)
\(434\) −1.87599 2.60220i −0.0900505 0.124909i
\(435\) 5.49341 34.5399i 0.263389 1.65606i
\(436\) −7.13023 26.0144i −0.341476 1.24586i
\(437\) 8.99117 + 0.589312i 0.430106 + 0.0281906i
\(438\) 9.45024 + 18.7474i 0.451550 + 0.895786i
\(439\) −5.91029 7.70244i −0.282083 0.367617i 0.630725 0.776006i \(-0.282757\pi\)
−0.912808 + 0.408389i \(0.866091\pi\)
\(440\) −70.0870 + 21.9189i −3.34127 + 1.04494i
\(441\) 9.65291 14.8223i 0.459662 0.705824i
\(442\) 4.92614 + 1.13378i 0.234313 + 0.0539282i
\(443\) −5.03592 + 14.8353i −0.239264 + 0.704848i 0.759273 + 0.650772i \(0.225555\pi\)
−0.998537 + 0.0540760i \(0.982779\pi\)
\(444\) −0.607102 + 2.08839i −0.0288118 + 0.0991108i
\(445\) 56.3759 + 27.8015i 2.67247 + 1.31792i
\(446\) 4.04908 13.4867i 0.191729 0.638615i
\(447\) 18.8021 11.8463i 0.889308 0.560310i
\(448\) 2.56484 8.00433i 0.121177 0.378169i
\(449\) −9.57721 −0.451977 −0.225988 0.974130i \(-0.572561\pi\)
−0.225988 + 0.974130i \(0.572561\pi\)
\(450\) 11.5260 52.9291i 0.543339 2.49510i
\(451\) −11.6510 + 7.78495i −0.548624 + 0.366579i
\(452\) −8.27003 + 1.69423i −0.388989 + 0.0796899i
\(453\) 3.95627 + 1.17467i 0.185882 + 0.0551910i
\(454\) −6.46631 21.0992i −0.303479 0.990234i
\(455\) 1.78682 2.32863i 0.0837673 0.109168i
\(456\) 10.5363 + 5.00763i 0.493408 + 0.234504i
\(457\) 11.2055 + 14.6033i 0.524173 + 0.683116i 0.978151 0.207897i \(-0.0666620\pi\)
−0.453978 + 0.891013i \(0.649995\pi\)
\(458\) −7.60761 5.41868i −0.355480 0.253198i
\(459\) 24.9447 + 12.7708i 1.16432 + 0.596089i
\(460\) −8.07993 + 30.8595i −0.376729 + 1.43883i
\(461\) 15.2751 17.4180i 0.711434 0.811235i −0.277321 0.960777i \(-0.589447\pi\)
0.988755 + 0.149542i \(0.0477799\pi\)
\(462\) −14.6975 5.93762i −0.683790 0.276243i
\(463\) −5.12506 1.37326i −0.238182 0.0638206i 0.137753 0.990467i \(-0.456012\pi\)
−0.375935 + 0.926646i \(0.622679\pi\)
\(464\) −10.4626 + 16.0528i −0.485714 + 0.745233i
\(465\) 4.66457 + 15.0566i 0.216314 + 0.698235i
\(466\) 1.32603 8.17704i 0.0614271 0.378794i
\(467\) 2.69032 13.5252i 0.124493 0.625870i −0.867275 0.497829i \(-0.834131\pi\)
0.991769 0.128042i \(-0.0408692\pi\)
\(468\) −3.53511 + 1.82099i −0.163411 + 0.0841755i
\(469\) −2.43228 1.62520i −0.112312 0.0750447i
\(470\) −14.1509 + 37.9266i −0.652732 + 1.74942i
\(471\) −24.6529 + 4.21979i −1.13595 + 0.194438i
\(472\) −2.12299 + 13.5827i −0.0977187 + 0.625194i
\(473\) 43.6146 + 33.4666i 2.00540 + 1.53880i
\(474\) −3.75019 1.80872i −0.172252 0.0830775i
\(475\) 28.7902 + 9.77296i 1.32099 + 0.448414i
\(476\) 10.1925 + 4.95412i 0.467172 + 0.227072i
\(477\) −21.3420 27.1441i −0.977183 1.24284i
\(478\) −5.04780 0.150801i −0.230881 0.00689749i
\(479\) 30.1178 + 17.3885i 1.37612 + 0.794501i 0.991689 0.128655i \(-0.0410660\pi\)
0.384426 + 0.923156i \(0.374399\pi\)
\(480\) −24.4752 + 33.2668i −1.11714 + 1.51842i
\(481\) 0.360351 0.208048i 0.0164306 0.00948619i
\(482\) 20.2118 10.8779i 0.920624 0.495473i
\(483\) −5.57340 + 4.04382i −0.253598 + 0.184000i
\(484\) 10.2084 52.9001i 0.464017 2.40455i
\(485\) −6.52691 32.8130i −0.296372 1.48996i
\(486\) −21.4713 + 4.99816i −0.973960 + 0.226721i
\(487\) 23.5543 9.75651i 1.06735 0.442110i 0.221293 0.975207i \(-0.428972\pi\)
0.846054 + 0.533098i \(0.178972\pi\)
\(488\) −5.37858 + 5.12490i −0.243477 + 0.231993i
\(489\) 1.34013 3.62537i 0.0606026 0.163945i
\(490\) −27.1059 + 22.3752i −1.22452 + 1.01081i
\(491\) −0.724797 + 11.0583i −0.0327096 + 0.499052i 0.949802 + 0.312851i \(0.101284\pi\)
−0.982512 + 0.186201i \(0.940382\pi\)
\(492\) −2.69013 + 7.40744i −0.121280 + 0.333953i
\(493\) −19.4239 17.0343i −0.874809 0.767187i
\(494\) −0.792164 2.08661i −0.0356411 0.0938811i
\(495\) 59.1620 + 50.6612i 2.65914 + 2.27705i
\(496\) 1.02922 8.57440i 0.0462135 0.385002i
\(497\) −2.36241 8.81662i −0.105968 0.395479i
\(498\) 32.3315 4.54497i 1.44881 0.203665i
\(499\) 10.2516 + 30.2003i 0.458926 + 1.35195i 0.892587 + 0.450875i \(0.148888\pi\)
−0.433661 + 0.901076i \(0.642779\pi\)
\(500\) −32.4183 + 56.8991i −1.44979 + 2.54461i
\(501\) 0.513632 19.1431i 0.0229474 0.855253i
\(502\) 5.45366 + 11.9455i 0.243409 + 0.533154i
\(503\) −13.3294 + 32.1800i −0.594328 + 1.43484i 0.284957 + 0.958540i \(0.408021\pi\)
−0.879285 + 0.476295i \(0.841979\pi\)
\(504\) −8.63914 + 2.20090i −0.384818 + 0.0980358i
\(505\) 0.857386 + 2.06991i 0.0381532 + 0.0921099i
\(506\) −24.1209 22.4626i −1.07230 0.998583i
\(507\) −20.8560 6.19244i −0.926246 0.275016i
\(508\) −4.01025 + 2.00623i −0.177926 + 0.0890120i
\(509\) −5.04179 2.48633i −0.223473 0.110205i 0.327106 0.944988i \(-0.393927\pi\)
−0.550579 + 0.834783i \(0.685593\pi\)
\(510\) −39.7186 39.0288i −1.75877 1.72822i
\(511\) 4.50257 7.79868i 0.199182 0.344993i
\(512\) 19.6745 11.1764i 0.869500 0.493932i
\(513\) −1.43057 12.2904i −0.0631612 0.542636i
\(514\) −11.0367 + 10.3964i −0.486808 + 0.458565i
\(515\) −4.50349 68.7100i −0.198448 3.02772i
\(516\) 30.9116 + 0.652527i 1.36081 + 0.0287259i
\(517\) −27.5781 31.4468i −1.21288 1.38303i
\(518\) 0.891905 0.273344i 0.0391881 0.0120100i
\(519\) 0.0125330 0.135438i 0.000550139 0.00594505i
\(520\) 7.78481 1.35397i 0.341386 0.0593755i
\(521\) 12.3798 29.8875i 0.542370 1.30940i −0.380677 0.924708i \(-0.624309\pi\)
0.923047 0.384688i \(-0.125691\pi\)
\(522\) 20.3204 + 0.367133i 0.889400 + 0.0160690i
\(523\) −2.58504 + 3.86879i −0.113036 + 0.169170i −0.883674 0.468103i \(-0.844938\pi\)
0.770638 + 0.637273i \(0.219938\pi\)
\(524\) 5.93004 0.0339105i 0.259055 0.00148139i
\(525\) −21.6969 + 8.31262i −0.946931 + 0.362792i
\(526\) 2.41650 + 23.8362i 0.105364 + 1.03931i
\(527\) 11.2470 + 3.01363i 0.489928 + 0.131276i
\(528\) −18.2828 38.5586i −0.795659 1.67805i
\(529\) 8.38629 2.24710i 0.364621 0.0976999i
\(530\) 24.3521 + 64.1452i 1.05779 + 2.78629i
\(531\) 13.4048 5.73869i 0.581718 0.249038i
\(532\) −0.681480 4.95714i −0.0295459 0.214919i
\(533\) 1.35228 0.666871i 0.0585738 0.0288854i
\(534\) −11.4380 + 34.6905i −0.494969 + 1.50121i
\(535\) −0.433094 3.28968i −0.0187243 0.142225i
\(536\) −1.85395 7.65371i −0.0800786 0.330590i
\(537\) −9.75375 21.1934i −0.420905 0.914564i
\(538\) −1.41413 39.7239i −0.0609677 1.71262i
\(539\) −7.08500 35.6187i −0.305173 1.53421i
\(540\) 43.6833 + 3.27167i 1.87983 + 0.140790i
\(541\) 10.5376 + 15.7707i 0.453048 + 0.678035i 0.985740 0.168275i \(-0.0538195\pi\)
−0.532692 + 0.846309i \(0.678820\pi\)
\(542\) −5.43023 3.35524i −0.233249 0.144120i
\(543\) −8.25528 + 0.319020i −0.354268 + 0.0136905i
\(544\) 11.1537 + 28.3964i 0.478209 + 1.21749i
\(545\) 49.2336 28.4250i 2.10894 1.21759i
\(546\) 1.48455 + 0.839856i 0.0635330 + 0.0359425i
\(547\) 10.8271 0.709649i 0.462935 0.0303424i 0.167849 0.985813i \(-0.446318\pi\)
0.295087 + 0.955470i \(0.404651\pi\)
\(548\) 3.70771 + 1.80216i 0.158386 + 0.0769843i
\(549\) 7.63495 + 1.94951i 0.325852 + 0.0832032i
\(550\) −59.0000 94.2775i −2.51577 4.02000i
\(551\) −1.48892 + 11.3095i −0.0634303 + 0.481801i
\(552\) −18.4117 2.15327i −0.783656 0.0916492i
\(553\) 0.233103 + 1.77059i 0.00991255 + 0.0752933i
\(554\) −28.3214 34.3093i −1.20326 1.45766i
\(555\) −4.58206 0.122942i −0.194498 0.00521858i
\(556\) 36.9941 15.5719i 1.56890 0.660395i
\(557\) −1.99860 + 10.0477i −0.0846835 + 0.425733i 0.915065 + 0.403306i \(0.132139\pi\)
−0.999748 + 0.0224264i \(0.992861\pi\)
\(558\) −8.28702 + 3.90222i −0.350818 + 0.165194i
\(559\) −4.18282 4.18282i −0.176914 0.176914i
\(560\) 17.6890 + 0.956368i 0.747497 + 0.0404139i
\(561\) 54.9593 17.0265i 2.32039 0.718859i
\(562\) −6.00304 + 0.608583i −0.253223 + 0.0256715i
\(563\) −8.96110 26.3986i −0.377665 1.11257i −0.955139 0.296157i \(-0.904295\pi\)
0.577474 0.816409i \(-0.304039\pi\)
\(564\) −22.9696 5.07513i −0.967196 0.213702i
\(565\) −7.86916 15.9571i −0.331058 0.671319i
\(566\) −1.74952 1.24613i −0.0735378 0.0523789i
\(567\) 6.84224 + 6.52666i 0.287347 + 0.274094i
\(568\) 11.3969 21.7693i 0.478205 0.913420i
\(569\) −44.6720 5.88118i −1.87275 0.246552i −0.893478 0.449107i \(-0.851742\pi\)
−0.979271 + 0.202555i \(0.935076\pi\)
\(570\) −4.58523 + 24.1554i −0.192054 + 1.01176i
\(571\) −10.1863 11.6153i −0.426284 0.486084i 0.498331 0.866987i \(-0.333946\pi\)
−0.924615 + 0.380903i \(0.875613\pi\)
\(572\) −2.58010 + 7.74599i −0.107880 + 0.323876i
\(573\) −32.7045 + 3.41607i −1.36625 + 0.142708i
\(574\) 3.28978 0.776993i 0.137313 0.0324310i
\(575\) −48.3124 −2.01476
\(576\) −21.1233 11.3932i −0.880138 0.474718i
\(577\) 14.9459 0.622206 0.311103 0.950376i \(-0.399302\pi\)
0.311103 + 0.950376i \(0.399302\pi\)
\(578\) −16.6349 + 3.92890i −0.691921 + 0.163421i
\(579\) −14.5670 + 32.6613i −0.605384 + 1.35736i
\(580\) −38.3149 12.7623i −1.59094 0.529925i
\(581\) −9.23361 10.5289i −0.383075 0.436813i
\(582\) 18.3543 6.41028i 0.760810 0.265715i
\(583\) −70.2869 9.25345i −2.91099 0.383239i
\(584\) 23.1374 7.23594i 0.957431 0.299425i
\(585\) −5.59994 6.23552i −0.231529 0.257807i
\(586\) −18.2616 13.0072i −0.754380 0.537323i
\(587\) 9.51626 + 19.2971i 0.392778 + 0.796475i 0.999998 + 0.00194155i \(0.000618014\pi\)
−0.607220 + 0.794534i \(0.707715\pi\)
\(588\) −15.0685 13.7881i −0.621416 0.568611i
\(589\) −1.65256 4.86828i −0.0680925 0.200594i
\(590\) −28.8267 + 2.92242i −1.18677 + 0.120314i
\(591\) −19.7171 18.2499i −0.811054 0.750701i
\(592\) 2.26487 + 1.08489i 0.0930856 + 0.0445886i
\(593\) 29.7217 + 29.7217i 1.22052 + 1.22052i 0.967446 + 0.253078i \(0.0814428\pi\)
0.253078 + 0.967446i \(0.418557\pi\)
\(594\) −24.3672 + 38.1430i −0.999800 + 1.56503i
\(595\) −4.65969 + 23.4258i −0.191029 + 0.960366i
\(596\) −9.95532 23.6508i −0.407786 0.968776i
\(597\) 0.250454 0.408113i 0.0102504 0.0167029i
\(598\) 2.25776 + 2.73510i 0.0923267 + 0.111847i
\(599\) 0.447768 + 3.40114i 0.0182953 + 0.138967i 0.998155 0.0607219i \(-0.0193403\pi\)
−0.979859 + 0.199689i \(0.936007\pi\)
\(600\) −58.1288 23.0976i −2.37310 0.942954i
\(601\) 1.25728 9.54997i 0.0512854 0.389551i −0.946481 0.322758i \(-0.895390\pi\)
0.997767 0.0667932i \(-0.0212768\pi\)
\(602\) −7.03529 11.2419i −0.286737 0.458184i
\(603\) −5.83618 + 5.97557i −0.237668 + 0.243344i
\(604\) 2.08322 4.28595i 0.0847648 0.174393i
\(605\) 113.306 7.42647i 4.60655 0.301929i
\(606\) −1.12178 + 0.660827i −0.0455691 + 0.0268443i
\(607\) 23.0177 13.2893i 0.934261 0.539396i 0.0461043 0.998937i \(-0.485319\pi\)
0.888157 + 0.459541i \(0.151986\pi\)
\(608\) 7.68892 11.0605i 0.311827 0.448561i
\(609\) −4.64698 7.37554i −0.188305 0.298872i
\(610\) −13.3203 8.23037i −0.539323 0.333238i
\(611\) 2.50040 + 3.74211i 0.101155 + 0.151389i
\(612\) 19.2462 26.0133i 0.777981 1.05152i
\(613\) 4.69609 + 23.6088i 0.189673 + 0.953552i 0.951939 + 0.306288i \(0.0990870\pi\)
−0.762266 + 0.647264i \(0.775913\pi\)
\(614\) −1.00929 28.3515i −0.0407315 1.14417i
\(615\) −16.5389 1.53047i −0.666913 0.0617143i
\(616\) −9.53198 + 15.6260i −0.384054 + 0.629588i
\(617\) −4.70936 35.7711i −0.189592 1.44009i −0.776336 0.630319i \(-0.782924\pi\)
0.586744 0.809772i \(-0.300409\pi\)
\(618\) 39.1749 8.14974i 1.57585 0.327831i
\(619\) −33.6647 + 16.6016i −1.35310 + 0.667274i −0.966903 0.255143i \(-0.917877\pi\)
−0.386195 + 0.922417i \(0.626211\pi\)
\(620\) 18.0315 2.47887i 0.724163 0.0995539i
\(621\) 8.43024 + 17.7627i 0.338294 + 0.712793i
\(622\) −15.6269 41.1624i −0.626583 1.65046i
\(623\) 15.1338 4.05508i 0.606322 0.162464i
\(624\) 1.40889 + 4.37025i 0.0564005 + 0.174950i
\(625\) −71.6519 19.1991i −2.86607 0.767962i
\(626\) −0.155602 1.53485i −0.00621910 0.0613449i
\(627\) −19.7325 16.0001i −0.788039 0.638983i
\(628\) 0.165150 + 28.8803i 0.00659020 + 1.15245i
\(629\) −1.88114 + 2.81533i −0.0750060 + 0.112254i
\(630\) −9.09923 16.4392i −0.362522 0.654952i
\(631\) −14.3656 + 34.6816i −0.571884 + 1.38065i 0.328065 + 0.944655i \(0.393604\pi\)
−0.899949 + 0.435995i \(0.856396\pi\)
\(632\) −2.76675 + 3.93179i −0.110055 + 0.156398i
\(633\) −0.143231 0.101364i −0.00569291 0.00402886i
\(634\) 32.3266 9.90718i 1.28385 0.393465i
\(635\) −6.23126 7.10539i −0.247280 0.281969i
\(636\) −34.9425 + 19.2024i −1.38556 + 0.761425i
\(637\) 0.255577 + 3.89935i 0.0101263 + 0.154498i
\(638\) 30.3735 28.6114i 1.20250 1.13273i
\(639\) −25.9850 + 2.01135i −1.02795 + 0.0795680i
\(640\) 33.2902 + 34.1475i 1.31591 + 1.34980i
\(641\) −1.29859 + 2.24922i −0.0512912 + 0.0888390i −0.890531 0.454922i \(-0.849667\pi\)
0.839240 + 0.543761i \(0.183000\pi\)
\(642\) 1.85801 0.515338i 0.0733299 0.0203388i
\(643\) 39.5590 + 19.5083i 1.56005 + 0.769333i 0.998318 0.0579829i \(-0.0184669\pi\)
0.561736 + 0.827316i \(0.310134\pi\)
\(644\) 3.55741 + 7.11092i 0.140182 + 0.280209i
\(645\) 15.1713 + 63.3731i 0.597370 + 2.49531i
\(646\) 13.2913 + 12.3775i 0.522941 + 0.486988i
\(647\) 7.23184 + 17.4592i 0.284313 + 0.686392i 0.999927 0.0121039i \(-0.00385288\pi\)
−0.715614 + 0.698496i \(0.753853\pi\)
\(648\) 1.65101 + 25.4022i 0.0648579 + 0.997895i
\(649\) 11.4567 27.6589i 0.449714 1.08571i
\(650\) 4.97007 + 10.8863i 0.194942 + 0.426994i
\(651\) 3.34860 + 2.05500i 0.131242 + 0.0805417i
\(652\) −3.87783 2.20940i −0.151868 0.0865267i
\(653\) −7.25252 21.3652i −0.283813 0.836086i −0.991563 0.129623i \(-0.958623\pi\)
0.707750 0.706463i \(-0.249710\pi\)
\(654\) 20.3399 + 26.0321i 0.795353 + 1.01794i
\(655\) 3.23481 + 12.0725i 0.126394 + 0.471710i
\(656\) 7.93232 + 4.45956i 0.309705 + 0.174116i
\(657\) −19.5308 16.7245i −0.761968 0.652483i
\(658\) 3.58116 + 9.43302i 0.139608 + 0.367737i
\(659\) −5.76942 5.05965i −0.224745 0.197096i 0.539567 0.841943i \(-0.318588\pi\)
−0.764312 + 0.644847i \(0.776921\pi\)
\(660\) 68.8559 57.8603i 2.68021 2.25221i
\(661\) −0.528104 + 8.05732i −0.0205409 + 0.313393i 0.975208 + 0.221288i \(0.0710262\pi\)
−0.995749 + 0.0921049i \(0.970640\pi\)
\(662\) 12.2783 10.1354i 0.477209 0.393924i
\(663\) −6.10225 + 1.04451i −0.236992 + 0.0405654i
\(664\) 0.910274 37.6893i 0.0353255 1.46263i
\(665\) 9.74317 4.03575i 0.377824 0.156500i
\(666\) −0.299912 2.64670i −0.0116214 0.102557i
\(667\) −3.53624 17.7779i −0.136924 0.688363i
\(668\) −21.7120 4.18986i −0.840062 0.162110i
\(669\) 1.79166 + 17.1528i 0.0692694 + 0.663167i
\(670\) 14.6152 7.86580i 0.564635 0.303882i
\(671\) 14.0110 8.08924i 0.540887 0.312282i
\(672\) 0.880584 + 10.2565i 0.0339693 + 0.395654i
\(673\) 24.7225 + 14.2735i 0.952982 + 0.550205i 0.894006 0.448055i \(-0.147883\pi\)
0.0589762 + 0.998259i \(0.481216\pi\)
\(674\) 13.6780 + 0.408625i 0.526856 + 0.0157396i
\(675\) 11.9640 + 65.2562i 0.460495 + 2.51171i
\(676\) −10.9819 + 22.5940i −0.422382 + 0.868998i
\(677\) −21.8543 7.41854i −0.839929 0.285117i −0.131867 0.991267i \(-0.542097\pi\)
−0.708062 + 0.706150i \(0.750430\pi\)
\(678\) 8.54595 5.81914i 0.328205 0.223483i
\(679\) −6.61576 5.07645i −0.253890 0.194816i
\(680\) −51.9424 + 37.8999i −1.99190 + 1.45339i
\(681\) 17.2690 + 20.7910i 0.661750 + 0.796712i
\(682\) −6.57416 + 17.6198i −0.251737 + 0.674695i
\(683\) −35.7105 23.8610i −1.36643 0.913016i −0.366576 0.930388i \(-0.619470\pi\)
−0.999849 + 0.0173720i \(0.994470\pi\)
\(684\) −14.2712 0.684556i −0.545672 0.0261747i
\(685\) −1.69505 + 8.52160i −0.0647646 + 0.325594i
\(686\) −3.06728 + 18.9146i −0.117109 + 0.722162i
\(687\) 11.1556 + 2.53181i 0.425611 + 0.0965945i
\(688\) 6.56413 35.0930i 0.250255 1.33791i
\(689\) 7.36832 + 1.97433i 0.280711 + 0.0752162i
\(690\) −5.43863 38.6887i −0.207045 1.47285i
\(691\) −13.1917 + 15.0423i −0.501837 + 0.572235i −0.946188 0.323617i \(-0.895101\pi\)
0.444351 + 0.895853i \(0.353434\pi\)
\(692\) −0.151936 0.0397814i −0.00577575 0.00151226i
\(693\) 19.4128 0.229091i 0.737430 0.00870246i
\(694\) −20.4019 14.5317i −0.774447 0.551616i
\(695\) 51.4978 + 67.1133i 1.95342 + 2.54575i
\(696\) 4.24464 23.0808i 0.160893 0.874874i
\(697\) −7.46915 + 9.73398i −0.282914 + 0.368701i
\(698\) −5.57778 18.2000i −0.211122 0.688880i
\(699\) 2.36209 + 9.86682i 0.0893423 + 0.373197i
\(700\) 5.38451 + 26.2833i 0.203515 + 0.993417i
\(701\) 38.2626 25.5662i 1.44516 0.965623i 0.447713 0.894177i \(-0.352239\pi\)
0.997444 0.0714459i \(-0.0227613\pi\)
\(702\) 3.13524 3.72691i 0.118332 0.140663i
\(703\) 1.49502 0.0563856
\(704\) −47.3703 + 13.5679i −1.78534 + 0.511361i
\(705\) −1.91450 49.5414i −0.0721041 1.86584i
\(706\) 0.217657 0.724973i 0.00819162 0.0272847i
\(707\) 0.500852 + 0.246993i 0.0188365 + 0.00928911i
\(708\) −4.01360 16.3519i −0.150840 0.614543i
\(709\) −13.3686 + 39.3826i −0.502068 + 1.47905i 0.340390 + 0.940284i \(0.389441\pi\)
−0.842458 + 0.538761i \(0.818892\pi\)
\(710\) 50.4689 + 11.6156i 1.89406 + 0.435927i
\(711\) 5.09199 + 0.273444i 0.190964 + 0.0102550i
\(712\) 37.3672 + 19.5629i 1.40039 + 0.733152i
\(713\) 4.97321 + 6.48121i 0.186248 + 0.242723i
\(714\) −13.8574 0.786422i −0.518599 0.0294311i
\(715\) −17.1704 1.12541i −0.642137 0.0420879i
\(716\) −25.9811 + 7.12111i −0.970961 + 0.266128i
\(717\) 5.77565 2.21279i 0.215696 0.0826382i
\(718\) 1.57032 + 2.17820i 0.0586038 + 0.0812896i
\(719\) 8.24377 8.24377i 0.307441 0.307441i −0.536475 0.843916i \(-0.680245\pi\)
0.843916 + 0.536475i \(0.180245\pi\)
\(720\) 11.9529 49.1498i 0.445458 1.83171i
\(721\) −12.1360 12.1360i −0.451970 0.451970i
\(722\) −3.01753 + 18.6078i −0.112301 + 0.692510i
\(723\) −17.7054 + 21.8355i −0.658470 + 0.812071i
\(724\) −1.19105 + 9.46485i −0.0442650 + 0.351758i
\(725\) 4.00023 61.0317i 0.148565 2.26666i
\(726\) 13.4393 + 64.6013i 0.498780 + 2.39758i
\(727\) −2.29812 + 1.76341i −0.0852327 + 0.0654014i −0.650499 0.759507i \(-0.725440\pi\)
0.565266 + 0.824909i \(0.308773\pi\)
\(728\) 1.23635 1.53312i 0.0458220 0.0568212i
\(729\) 21.9047 15.7856i 0.811285 0.584651i
\(730\) 27.1047 + 43.3113i 1.00319 + 1.60302i
\(731\) 45.5816 + 15.4729i 1.68590 + 0.572285i
\(732\) 3.65865 8.33096i 0.135228 0.307921i
\(733\) −6.85794 + 13.9065i −0.253304 + 0.513649i −0.985967 0.166943i \(-0.946611\pi\)
0.732663 + 0.680592i \(0.238277\pi\)
\(734\) 11.7335 + 21.8016i 0.433090 + 0.804711i
\(735\) 20.0680 38.0834i 0.740219 1.40473i
\(736\) −5.92008 + 20.5700i −0.218217 + 0.758220i
\(737\) 17.1493i 0.631702i
\(738\) −0.457184 9.64113i −0.0168292 0.354895i
\(739\) 6.41569 + 9.60177i 0.236005 + 0.353207i 0.930501 0.366290i \(-0.119372\pi\)
−0.694495 + 0.719497i \(0.744372\pi\)
\(740\) −1.00287 + 5.19693i −0.0368664 + 0.191043i
\(741\) 1.88036 + 1.98405i 0.0690768 + 0.0728859i
\(742\) 15.1055 + 8.01859i 0.554539 + 0.294372i
\(743\) 3.25621 + 2.49858i 0.119459 + 0.0916640i 0.666763 0.745270i \(-0.267679\pi\)
−0.547304 + 0.836934i \(0.684346\pi\)
\(744\) 2.88511 + 10.1757i 0.105773 + 0.373060i
\(745\) 42.9065 32.9233i 1.57197 1.20622i
\(746\) −0.693624 4.12775i −0.0253954 0.151128i
\(747\) −34.3915 + 20.4008i −1.25832 + 0.746427i
\(748\) −9.04832 65.8182i −0.330839 2.40655i
\(749\) −0.621801 0.545305i −0.0227201 0.0199250i
\(750\) 9.77180 79.6065i 0.356816 2.90682i
\(751\) −4.41269 + 16.4684i −0.161021 + 0.600939i 0.837493 + 0.546448i \(0.184020\pi\)
−0.998514 + 0.0544913i \(0.982646\pi\)
\(752\) −10.1071 + 25.2123i −0.368566 + 0.919399i
\(753\) −11.8029 10.9246i −0.430123 0.398116i
\(754\) −3.64212 + 2.62570i −0.132638 + 0.0956224i
\(755\) 9.85060 + 1.95941i 0.358500 + 0.0713101i
\(756\) 8.72387 6.56599i 0.317284 0.238803i
\(757\) 8.93665 13.3746i 0.324808 0.486110i −0.632747 0.774358i \(-0.718073\pi\)
0.957556 + 0.288248i \(0.0930729\pi\)
\(758\) 4.08946 + 8.95741i 0.148536 + 0.325348i
\(759\) 37.8639 + 13.9965i 1.37437 + 0.508040i
\(760\) 26.6555 + 9.77222i 0.966896 + 0.354476i
\(761\) −28.1873 + 36.7344i −1.02179 + 1.33162i −0.0794957 + 0.996835i \(0.525331\pi\)
−0.942294 + 0.334787i \(0.891336\pi\)
\(762\) 3.58473 4.16057i 0.129861 0.150721i
\(763\) 4.55482 13.4181i 0.164896 0.485767i
\(764\) −2.26662 + 37.9017i −0.0820034 + 1.37123i
\(765\) 63.3120 + 25.3536i 2.28905 + 0.916662i
\(766\) −31.1468 + 29.3398i −1.12538 + 1.06009i
\(767\) −1.61068 + 2.78977i −0.0581581 + 0.100733i
\(768\) −16.9572 + 21.9192i −0.611891 + 0.790942i
\(769\) −7.61125 13.1831i −0.274469 0.475393i 0.695532 0.718495i \(-0.255169\pi\)
−0.970001 + 0.243101i \(0.921835\pi\)
\(770\) −36.9478 11.0927i −1.33151 0.399755i
\(771\) 7.56398 16.9595i 0.272410 0.610783i
\(772\) 34.4662 + 22.7456i 1.24047 + 0.818631i
\(773\)