Properties

Label 441.2.bd.a.173.42
Level $441$
Weight $2$
Character 441.173
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 173.42
Character \(\chi\) \(=\) 441.173
Dual form 441.2.bd.a.311.42

$q$-expansion

\(f(q)\) \(=\) \(q+(0.928240 - 1.36148i) q^{2} +(-1.34896 - 1.08642i) q^{3} +(-0.261312 - 0.665811i) q^{4} +(0.872976 - 3.82476i) q^{5} +(-2.73130 + 0.828121i) q^{6} +(1.64298 - 2.07379i) q^{7} +(2.06393 + 0.471079i) q^{8} +(0.639385 + 2.93107i) q^{9} +O(q^{10})\) \(q+(0.928240 - 1.36148i) q^{2} +(-1.34896 - 1.08642i) q^{3} +(-0.261312 - 0.665811i) q^{4} +(0.872976 - 3.82476i) q^{5} +(-2.73130 + 0.828121i) q^{6} +(1.64298 - 2.07379i) q^{7} +(2.06393 + 0.471079i) q^{8} +(0.639385 + 2.93107i) q^{9} +(-4.39700 - 4.73883i) q^{10} +(0.266754 + 0.553920i) q^{11} +(-0.370851 + 1.18205i) q^{12} +(0.141311 - 0.207266i) q^{13} +(-1.29834 - 4.16186i) q^{14} +(-5.33290 + 4.21103i) q^{15} +(3.60582 - 3.34571i) q^{16} +(-2.15951 + 5.50235i) q^{17} +(4.58410 + 1.85023i) q^{18} +(-4.00625 - 2.31301i) q^{19} +(-2.77469 + 0.418217i) q^{20} +(-4.46933 + 1.01249i) q^{21} +(1.00176 + 0.150991i) q^{22} +(3.92237 + 3.12799i) q^{23} +(-2.27237 - 2.87776i) q^{24} +(-9.36186 - 4.50843i) q^{25} +(-0.151017 - 0.384785i) q^{26} +(2.32187 - 4.64854i) q^{27} +(-1.81008 - 0.552011i) q^{28} +(0.790738 + 5.24620i) q^{29} +(0.783008 + 11.1695i) q^{30} +(-1.38459 - 0.799392i) q^{31} +(-0.577001 - 3.82815i) q^{32} +(0.241949 - 1.03702i) q^{33} +(5.48678 + 8.04763i) q^{34} +(-6.49746 - 8.09439i) q^{35} +(1.78446 - 1.19163i) q^{36} +(-5.30653 + 0.799831i) q^{37} +(-6.86788 + 3.30740i) q^{38} +(-0.415801 + 0.126070i) q^{39} +(3.60353 - 7.48280i) q^{40} +(-5.05227 + 1.55842i) q^{41} +(-2.77013 + 7.02472i) q^{42} +(5.50607 + 1.69840i) q^{43} +(0.299100 - 0.322353i) q^{44} +(11.7688 + 0.113264i) q^{45} +(7.89959 - 2.43670i) q^{46} +(9.02292 + 6.15172i) q^{47} +(-8.49896 + 0.595798i) q^{48} +(-1.60121 - 6.81441i) q^{49} +(-14.8282 + 8.56106i) q^{50} +(8.89096 - 5.07631i) q^{51} +(-0.174926 - 0.0399257i) q^{52} +(1.08470 - 7.19649i) q^{53} +(-4.17363 - 7.47614i) q^{54} +(2.35148 - 0.536710i) q^{55} +(4.36792 - 3.50618i) q^{56} +(2.89137 + 7.47263i) q^{57} +(7.87659 + 3.79316i) q^{58} +(13.9016 + 4.28807i) q^{59} +(4.19730 + 2.45032i) q^{60} +(1.95994 + 0.769220i) q^{61} +(-2.37359 + 1.14306i) q^{62} +(7.12893 + 3.48976i) q^{63} +(3.11604 + 1.50061i) q^{64} +(-0.669380 - 0.721420i) q^{65} +(-1.18730 - 1.29202i) q^{66} +(-1.91870 + 3.32328i) q^{67} +4.22783 q^{68} +(-1.89281 - 8.48087i) q^{69} +(-17.0515 + 1.33262i) q^{70} +(-6.93312 - 5.52898i) q^{71} +(-0.0611199 + 6.35073i) q^{72} +(0.0678751 - 0.00508653i) q^{73} +(-3.83678 + 7.96716i) q^{74} +(7.73072 + 16.2526i) q^{75} +(-0.493148 + 3.27182i) q^{76} +(1.58699 + 0.356890i) q^{77} +(-0.214322 + 0.683127i) q^{78} +(-1.86841 - 3.23619i) q^{79} +(-9.64876 - 16.7121i) q^{80} +(-8.18237 + 3.74817i) q^{81} +(-2.56797 + 8.32515i) q^{82} +(8.11897 - 5.53542i) q^{83} +(1.84201 + 2.71115i) q^{84} +(19.1600 + 13.0630i) q^{85} +(7.42328 - 5.91987i) q^{86} +(4.63290 - 7.93599i) q^{87} +(0.289622 + 1.26892i) q^{88} +(0.415989 - 0.283617i) q^{89} +(11.0785 - 15.9179i) q^{90} +(-0.197653 - 0.633584i) q^{91} +(1.05769 - 3.42894i) q^{92} +(0.999278 + 2.58259i) q^{93} +(16.7509 - 6.57423i) q^{94} +(-12.3441 + 13.3037i) q^{95} +(-3.38063 + 5.79089i) q^{96} +(-3.38750 - 1.95577i) q^{97} +(-10.7640 - 4.14540i) q^{98} +(-1.45302 + 1.13604i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} + O(q^{10}) \) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{17}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.928240 1.36148i 0.656365 0.962711i −0.343359 0.939204i \(-0.611565\pi\)
0.999724 0.0235063i \(-0.00748298\pi\)
\(3\) −1.34896 1.08642i −0.778822 0.627245i
\(4\) −0.261312 0.665811i −0.130656 0.332905i
\(5\) 0.872976 3.82476i 0.390407 1.71048i −0.272819 0.962065i \(-0.587956\pi\)
0.663226 0.748419i \(-0.269187\pi\)
\(6\) −2.73130 + 0.828121i −1.11505 + 0.338079i
\(7\) 1.64298 2.07379i 0.620990 0.783819i
\(8\) 2.06393 + 0.471079i 0.729710 + 0.166551i
\(9\) 0.639385 + 2.93107i 0.213128 + 0.977024i
\(10\) −4.39700 4.73883i −1.39045 1.49855i
\(11\) 0.266754 + 0.553920i 0.0804293 + 0.167013i 0.937305 0.348509i \(-0.113312\pi\)
−0.856876 + 0.515523i \(0.827598\pi\)
\(12\) −0.370851 + 1.18205i −0.107056 + 0.341227i
\(13\) 0.141311 0.207266i 0.0391927 0.0574852i −0.806142 0.591722i \(-0.798448\pi\)
0.845335 + 0.534237i \(0.179401\pi\)
\(14\) −1.29834 4.16186i −0.346995 1.11230i
\(15\) −5.33290 + 4.21103i −1.37695 + 1.08728i
\(16\) 3.60582 3.34571i 0.901456 0.836429i
\(17\) −2.15951 + 5.50235i −0.523759 + 1.33452i 0.387191 + 0.921999i \(0.373445\pi\)
−0.910950 + 0.412516i \(0.864650\pi\)
\(18\) 4.58410 + 1.85023i 1.08048 + 0.436104i
\(19\) −4.00625 2.31301i −0.919097 0.530641i −0.0357503 0.999361i \(-0.511382\pi\)
−0.883347 + 0.468720i \(0.844715\pi\)
\(20\) −2.77469 + 0.418217i −0.620439 + 0.0935161i
\(21\) −4.46933 + 1.01249i −0.975287 + 0.220943i
\(22\) 1.00176 + 0.150991i 0.213576 + 0.0321915i
\(23\) 3.92237 + 3.12799i 0.817871 + 0.652230i 0.940338 0.340242i \(-0.110509\pi\)
−0.122467 + 0.992473i \(0.539081\pi\)
\(24\) −2.27237 2.87776i −0.463846 0.587420i
\(25\) −9.36186 4.50843i −1.87237 0.901686i
\(26\) −0.151017 0.384785i −0.0296168 0.0754625i
\(27\) 2.32187 4.64854i 0.446844 0.894612i
\(28\) −1.81008 0.552011i −0.342073 0.104320i
\(29\) 0.790738 + 5.24620i 0.146836 + 0.974195i 0.933954 + 0.357393i \(0.116334\pi\)
−0.787118 + 0.616803i \(0.788428\pi\)
\(30\) 0.783008 + 11.1695i 0.142957 + 2.03926i
\(31\) −1.38459 0.799392i −0.248679 0.143575i 0.370480 0.928840i \(-0.379193\pi\)
−0.619159 + 0.785265i \(0.712527\pi\)
\(32\) −0.577001 3.82815i −0.102000 0.676728i
\(33\) 0.241949 1.03702i 0.0421180 0.180523i
\(34\) 5.48678 + 8.04763i 0.940976 + 1.38016i
\(35\) −6.49746 8.09439i −1.09827 1.36820i
\(36\) 1.78446 1.19163i 0.297410 0.198605i
\(37\) −5.30653 + 0.799831i −0.872388 + 0.131491i −0.569952 0.821678i \(-0.693038\pi\)
−0.302436 + 0.953170i \(0.597800\pi\)
\(38\) −6.86788 + 3.30740i −1.11412 + 0.536530i
\(39\) −0.415801 + 0.126070i −0.0665814 + 0.0201873i
\(40\) 3.60353 7.48280i 0.569767 1.18313i
\(41\) −5.05227 + 1.55842i −0.789032 + 0.243384i −0.662978 0.748639i \(-0.730708\pi\)
−0.126055 + 0.992023i \(0.540231\pi\)
\(42\) −2.77013 + 7.02472i −0.427440 + 1.08394i
\(43\) 5.50607 + 1.69840i 0.839667 + 0.259003i 0.684617 0.728903i \(-0.259970\pi\)
0.155051 + 0.987906i \(0.450446\pi\)
\(44\) 0.299100 0.322353i 0.0450911 0.0485966i
\(45\) 11.7688 + 0.113264i 1.75439 + 0.0168844i
\(46\) 7.89959 2.43670i 1.16473 0.359272i
\(47\) 9.02292 + 6.15172i 1.31613 + 0.897321i 0.998701 0.0509620i \(-0.0162287\pi\)
0.317427 + 0.948283i \(0.397181\pi\)
\(48\) −8.49896 + 0.595798i −1.22672 + 0.0859960i
\(49\) −1.60121 6.81441i −0.228744 0.973487i
\(50\) −14.8282 + 8.56106i −2.09702 + 1.21072i
\(51\) 8.89096 5.07631i 1.24498 0.710826i
\(52\) −0.174926 0.0399257i −0.0242579 0.00553670i
\(53\) 1.08470 7.19649i 0.148995 0.988514i −0.781947 0.623345i \(-0.785773\pi\)
0.930941 0.365169i \(-0.118989\pi\)
\(54\) −4.17363 7.47614i −0.567959 1.01737i
\(55\) 2.35148 0.536710i 0.317074 0.0723700i
\(56\) 4.36792 3.50618i 0.583688 0.468533i
\(57\) 2.89137 + 7.47263i 0.382972 + 0.989774i
\(58\) 7.87659 + 3.79316i 1.03425 + 0.498067i
\(59\) 13.9016 + 4.28807i 1.80983 + 0.558259i 0.999612 0.0278653i \(-0.00887096\pi\)
0.810221 + 0.586125i \(0.199347\pi\)
\(60\) 4.19730 + 2.45032i 0.541869 + 0.316334i
\(61\) 1.95994 + 0.769220i 0.250945 + 0.0984885i 0.487479 0.873135i \(-0.337916\pi\)
−0.236535 + 0.971623i \(0.576012\pi\)
\(62\) −2.37359 + 1.14306i −0.301446 + 0.145169i
\(63\) 7.12893 + 3.48976i 0.898160 + 0.439668i
\(64\) 3.11604 + 1.50061i 0.389506 + 0.187576i
\(65\) −0.669380 0.721420i −0.0830264 0.0894811i
\(66\) −1.18730 1.29202i −0.146146 0.159036i
\(67\) −1.91870 + 3.32328i −0.234406 + 0.406003i −0.959100 0.283068i \(-0.908648\pi\)
0.724694 + 0.689071i \(0.241981\pi\)
\(68\) 4.22783 0.512700
\(69\) −1.89281 8.48087i −0.227868 1.02098i
\(70\) −17.0515 + 1.33262i −2.03805 + 0.159278i
\(71\) −6.93312 5.52898i −0.822810 0.656169i 0.118783 0.992920i \(-0.462101\pi\)
−0.941594 + 0.336751i \(0.890672\pi\)
\(72\) −0.0611199 + 6.35073i −0.00720304 + 0.748441i
\(73\) 0.0678751 0.00508653i 0.00794418 0.000595334i −0.0707574 0.997494i \(-0.522542\pi\)
0.0787016 + 0.996898i \(0.474923\pi\)
\(74\) −3.83678 + 7.96716i −0.446017 + 0.926164i
\(75\) 7.73072 + 16.2526i 0.892666 + 1.87669i
\(76\) −0.493148 + 3.27182i −0.0565679 + 0.375304i
\(77\) 1.58699 + 0.356890i 0.180854 + 0.0406714i
\(78\) −0.214322 + 0.683127i −0.0242672 + 0.0773489i
\(79\) −1.86841 3.23619i −0.210213 0.364099i 0.741568 0.670877i \(-0.234082\pi\)
−0.951781 + 0.306778i \(0.900749\pi\)
\(80\) −9.64876 16.7121i −1.07876 1.86847i
\(81\) −8.18237 + 3.74817i −0.909153 + 0.416463i
\(82\) −2.56797 + 8.32515i −0.283585 + 0.919359i
\(83\) 8.11897 5.53542i 0.891172 0.607591i −0.0287952 0.999585i \(-0.509167\pi\)
0.919968 + 0.391994i \(0.128215\pi\)
\(84\) 1.84201 + 2.71115i 0.200980 + 0.295811i
\(85\) 19.1600 + 13.0630i 2.07819 + 1.41689i
\(86\) 7.42328 5.91987i 0.800473 0.638356i
\(87\) 4.63290 7.93599i 0.496699 0.850827i
\(88\) 0.289622 + 1.26892i 0.0308738 + 0.135267i
\(89\) 0.415989 0.283617i 0.0440948 0.0300633i −0.541072 0.840976i \(-0.681981\pi\)
0.585167 + 0.810913i \(0.301029\pi\)
\(90\) 11.0785 15.9179i 1.16778 1.67789i
\(91\) −0.197653 0.633584i −0.0207197 0.0664177i
\(92\) 1.05769 3.42894i 0.110271 0.357491i
\(93\) 0.999278 + 2.58259i 0.103620 + 0.267802i
\(94\) 16.7509 6.57423i 1.72772 0.678080i
\(95\) −12.3441 + 13.3037i −1.26648 + 1.36494i
\(96\) −3.38063 + 5.79089i −0.345034 + 0.591030i
\(97\) −3.38750 1.95577i −0.343948 0.198579i 0.318068 0.948068i \(-0.396966\pi\)
−0.662017 + 0.749489i \(0.730299\pi\)
\(98\) −10.7640 4.14540i −1.08733 0.418748i
\(99\) −1.45302 + 1.13604i −0.146034 + 0.114177i
\(100\) −0.555402 + 7.41133i −0.0555402 + 0.741133i
\(101\) −0.704748 + 3.08770i −0.0701250 + 0.307238i −0.997812 0.0661222i \(-0.978937\pi\)
0.927686 + 0.373360i \(0.121794\pi\)
\(102\) 1.34166 16.8169i 0.132844 1.66512i
\(103\) −9.19125 2.09784i −0.905641 0.206707i −0.255758 0.966741i \(-0.582325\pi\)
−0.649883 + 0.760034i \(0.725182\pi\)
\(104\) 0.389295 0.361213i 0.0381735 0.0354199i
\(105\) −0.0290885 + 17.9780i −0.00283874 + 1.75447i
\(106\) −8.79101 8.15687i −0.853858 0.792265i
\(107\) 4.33751 + 6.36196i 0.419323 + 0.615034i 0.976541 0.215332i \(-0.0690834\pi\)
−0.557218 + 0.830367i \(0.688131\pi\)
\(108\) −3.70178 0.331210i −0.356204 0.0318707i
\(109\) 6.21757 + 4.23907i 0.595536 + 0.406029i 0.823234 0.567702i \(-0.192168\pi\)
−0.227698 + 0.973732i \(0.573120\pi\)
\(110\) 1.45202 3.69969i 0.138445 0.352751i
\(111\) 8.02725 + 4.68618i 0.761913 + 0.444792i
\(112\) −1.01400 12.9747i −0.0958140 1.22599i
\(113\) −20.2561 + 1.51799i −1.90554 + 0.142800i −0.974828 0.222958i \(-0.928429\pi\)
−0.930710 + 0.365759i \(0.880810\pi\)
\(114\) 12.8577 + 2.99985i 1.20424 + 0.280962i
\(115\) 15.3879 12.2715i 1.43493 1.14432i
\(116\) 3.28635 1.89737i 0.305130 0.176167i
\(117\) 0.697863 + 0.281671i 0.0645175 + 0.0260405i
\(118\) 18.7421 14.9464i 1.72535 1.37592i
\(119\) 7.86267 + 13.5186i 0.720770 + 1.23925i
\(120\) −12.9905 + 6.17905i −1.18586 + 0.564068i
\(121\) 6.62272 8.30463i 0.602065 0.754966i
\(122\) 2.86657 1.95440i 0.259527 0.176943i
\(123\) 8.50841 + 3.38664i 0.767177 + 0.305363i
\(124\) −0.170435 + 1.13076i −0.0153055 + 0.101546i
\(125\) −13.1862 + 16.5350i −1.17941 + 1.47894i
\(126\) 11.3686 6.46655i 1.01279 0.576086i
\(127\) −0.499065 0.625808i −0.0442849 0.0555315i 0.759196 0.650862i \(-0.225592\pi\)
−0.803481 + 0.595331i \(0.797021\pi\)
\(128\) 11.6409 6.72090i 1.02892 0.594049i
\(129\) −5.58229 8.27297i −0.491493 0.728394i
\(130\) −1.60354 + 0.241695i −0.140640 + 0.0211981i
\(131\) −4.25046 18.6225i −0.371365 1.62706i −0.722951 0.690900i \(-0.757215\pi\)
0.351586 0.936156i \(-0.385642\pi\)
\(132\) −0.753685 + 0.109893i −0.0655999 + 0.00956499i
\(133\) −11.3789 + 4.50788i −0.986676 + 0.390883i
\(134\) 2.74356 + 5.69707i 0.237008 + 0.492152i
\(135\) −15.7526 12.9387i −1.35577 1.11358i
\(136\) −7.04912 + 10.3392i −0.604457 + 0.886576i
\(137\) 5.70019 1.30103i 0.487000 0.111155i 0.0280312 0.999607i \(-0.491076\pi\)
0.458968 + 0.888453i \(0.348219\pi\)
\(138\) −13.3035 5.29526i −1.13247 0.450762i
\(139\) −1.27377 4.12946i −0.108040 0.350257i 0.885368 0.464891i \(-0.153907\pi\)
−0.993408 + 0.114634i \(0.963430\pi\)
\(140\) −3.69147 + 6.44124i −0.311986 + 0.544384i
\(141\) −5.48820 18.1011i −0.462190 1.52439i
\(142\) −13.9632 + 4.30707i −1.17177 + 0.361442i
\(143\) 0.152504 + 0.0229863i 0.0127530 + 0.00192221i
\(144\) 12.1120 + 8.42973i 1.00934 + 0.702478i
\(145\) 20.7558 + 1.55543i 1.72367 + 0.129171i
\(146\) 0.0560792 0.0971320i 0.00464115 0.00803870i
\(147\) −5.24334 + 10.9319i −0.432463 + 0.901651i
\(148\) 1.91919 + 3.32414i 0.157757 + 0.273243i
\(149\) −3.12446 6.48800i −0.255965 0.531518i 0.732899 0.680338i \(-0.238167\pi\)
−0.988864 + 0.148820i \(0.952453\pi\)
\(150\) 29.3035 + 4.56111i 2.39262 + 0.372413i
\(151\) 10.4099 13.0536i 0.847146 1.06229i −0.150140 0.988665i \(-0.547973\pi\)
0.997286 0.0736227i \(-0.0234560\pi\)
\(152\) −7.17902 6.66115i −0.582295 0.540291i
\(153\) −17.5085 2.81157i −1.41548 0.227302i
\(154\) 1.95900 1.82937i 0.157861 0.147415i
\(155\) −4.26620 + 4.59787i −0.342669 + 0.369309i
\(156\) 0.192592 + 0.243901i 0.0154197 + 0.0195277i
\(157\) −5.87471 + 19.0454i −0.468853 + 1.51998i 0.344824 + 0.938667i \(0.387939\pi\)
−0.813677 + 0.581317i \(0.802537\pi\)
\(158\) −6.14033 0.460154i −0.488499 0.0366079i
\(159\) −9.28162 + 8.52934i −0.736081 + 0.676421i
\(160\) −15.1455 1.13500i −1.19735 0.0897293i
\(161\) 12.9312 2.99494i 1.01912 0.236034i
\(162\) −2.49216 + 14.6193i −0.195803 + 1.14860i
\(163\) −14.0736 4.34114i −1.10233 0.340024i −0.310383 0.950612i \(-0.600457\pi\)
−0.791949 + 0.610587i \(0.790934\pi\)
\(164\) 2.35783 + 2.95662i 0.184116 + 0.230874i
\(165\) −3.75515 1.83070i −0.292338 0.142519i
\(166\) 16.1920i 1.25674i
\(167\) −8.43535 + 21.4929i −0.652747 + 1.66317i 0.0919450 + 0.995764i \(0.470692\pi\)
−0.744692 + 0.667408i \(0.767404\pi\)
\(168\) −9.70134 0.0156968i −0.748475 0.00121104i
\(169\) 4.72644 + 12.0428i 0.363573 + 0.926368i
\(170\) 35.5701 13.9602i 2.72810 1.07070i
\(171\) 4.21807 13.2215i 0.322564 1.01107i
\(172\) −0.307988 4.10981i −0.0234838 0.313370i
\(173\) −19.8655 2.99424i −1.51034 0.227648i −0.658955 0.752182i \(-0.729001\pi\)
−0.851389 + 0.524534i \(0.824240\pi\)
\(174\) −6.50423 13.6741i −0.493084 1.03663i
\(175\) −24.7309 + 12.0072i −1.86948 + 0.907662i
\(176\) 2.81513 + 1.10486i 0.212198 + 0.0832816i
\(177\) −14.0940 20.8874i −1.05937 1.56999i
\(178\) 0.829625i 0.0621830i
\(179\) 16.7822 + 6.58652i 1.25436 + 0.492300i 0.897151 0.441725i \(-0.145633\pi\)
0.357209 + 0.934024i \(0.383728\pi\)
\(180\) −2.99992 7.86540i −0.223600 0.586253i
\(181\) 1.50053 3.11589i 0.111534 0.231602i −0.837729 0.546086i \(-0.816117\pi\)
0.949263 + 0.314484i \(0.101831\pi\)
\(182\) −1.04608 0.319018i −0.0775407 0.0236472i
\(183\) −1.80819 3.16696i −0.133665 0.234109i
\(184\) 6.62197 + 8.30369i 0.488178 + 0.612156i
\(185\) −1.57332 + 20.9944i −0.115672 + 1.54354i
\(186\) 4.44371 + 1.03677i 0.325829 + 0.0760197i
\(187\) −3.62392 + 0.271575i −0.265007 + 0.0198596i
\(188\) 1.73809 7.61507i 0.126763 0.555386i
\(189\) −5.82530 12.4525i −0.423728 0.905789i
\(190\) 6.65450 + 29.1553i 0.482768 + 2.11515i
\(191\) 0.729609 + 2.36534i 0.0527927 + 0.171150i 0.978130 0.207996i \(-0.0666941\pi\)
−0.925337 + 0.379146i \(0.876218\pi\)
\(192\) −2.57313 5.40959i −0.185700 0.390404i
\(193\) −2.90644 2.69678i −0.209210 0.194119i 0.568607 0.822609i \(-0.307483\pi\)
−0.777817 + 0.628491i \(0.783673\pi\)
\(194\) −5.80716 + 2.79658i −0.416930 + 0.200783i
\(195\) 0.119202 + 1.70039i 0.00853622 + 0.121768i
\(196\) −4.11869 + 2.84678i −0.294192 + 0.203342i
\(197\) 2.82472i 0.201253i 0.994924 + 0.100626i \(0.0320847\pi\)
−0.994924 + 0.100626i \(0.967915\pi\)
\(198\) 0.197945 + 3.03278i 0.0140673 + 0.215530i
\(199\) 6.57930 + 21.3296i 0.466395 + 1.51201i 0.817640 + 0.575730i \(0.195282\pi\)
−0.351245 + 0.936284i \(0.614242\pi\)
\(200\) −17.1984 13.7153i −1.21611 0.969815i
\(201\) 6.19872 2.39846i 0.437224 0.169174i
\(202\) 3.54967 + 3.82563i 0.249754 + 0.269170i
\(203\) 12.1787 + 6.97960i 0.854776 + 0.489872i
\(204\) −5.70317 4.59320i −0.399302 0.321588i
\(205\) 1.55007 + 20.6842i 0.108261 + 1.44465i
\(206\) −11.3879 + 10.5664i −0.793430 + 0.736195i
\(207\) −6.66045 + 13.4967i −0.462933 + 0.938088i
\(208\) −0.183908 1.22015i −0.0127517 0.0846022i
\(209\) 0.212540 2.83615i 0.0147017 0.196181i
\(210\) 24.4496 + 16.7275i 1.68718 + 1.15431i
\(211\) −0.656418 8.75929i −0.0451897 0.603015i −0.973126 0.230275i \(-0.926037\pi\)
0.927936 0.372740i \(-0.121582\pi\)
\(212\) −5.07495 + 1.15832i −0.348549 + 0.0795540i
\(213\) 3.34571 + 14.9907i 0.229244 + 1.02714i
\(214\) 12.6879 0.867329
\(215\) 11.3026 19.5767i 0.770833 1.33512i
\(216\) 6.98201 8.50048i 0.475065 0.578384i
\(217\) −3.93263 + 1.55796i −0.266964 + 0.105761i
\(218\) 11.5428 4.53022i 0.781777 0.306825i
\(219\) −0.0970869 0.0668793i −0.00656052 0.00451928i
\(220\) −0.971817 1.42539i −0.0655199 0.0961000i
\(221\) 0.835284 + 1.22514i 0.0561873 + 0.0824117i
\(222\) 13.8313 6.57902i 0.928299 0.441555i
\(223\) −12.4591 + 4.88985i −0.834326 + 0.327449i −0.743764 0.668442i \(-0.766961\pi\)
−0.0905616 + 0.995891i \(0.528866\pi\)
\(224\) −8.88679 5.09301i −0.593773 0.340291i
\(225\) 7.22871 30.3229i 0.481914 2.02153i
\(226\) −16.7359 + 28.9874i −1.11325 + 1.92821i
\(227\) 27.5445 1.82820 0.914098 0.405494i \(-0.132900\pi\)
0.914098 + 0.405494i \(0.132900\pi\)
\(228\) 4.21981 3.87779i 0.279464 0.256813i
\(229\) −17.7935 + 4.06126i −1.17583 + 0.268376i −0.765423 0.643527i \(-0.777470\pi\)
−0.410407 + 0.911903i \(0.634613\pi\)
\(230\) −2.42364 32.3412i −0.159810 2.13252i
\(231\) −1.75305 2.20556i −0.115342 0.145115i
\(232\) −0.839346 + 11.2003i −0.0551058 + 0.735335i
\(233\) 4.41036 + 29.2608i 0.288932 + 1.91694i 0.387616 + 0.921821i \(0.373299\pi\)
−0.0986843 + 0.995119i \(0.531463\pi\)
\(234\) 1.03127 0.688667i 0.0674165 0.0450196i
\(235\) 31.4056 29.1402i 2.04868 1.90090i
\(236\) −0.777600 10.3764i −0.0506175 0.675443i
\(237\) −0.995442 + 6.39536i −0.0646609 + 0.415423i
\(238\) 25.7038 + 1.84370i 1.66613 + 0.119509i
\(239\) 5.38842 + 5.80734i 0.348548 + 0.375645i 0.882855 0.469645i \(-0.155618\pi\)
−0.534307 + 0.845290i \(0.679428\pi\)
\(240\) −5.14061 + 33.0266i −0.331825 + 2.13186i
\(241\) 5.37457 + 4.28607i 0.346206 + 0.276090i 0.781119 0.624382i \(-0.214649\pi\)
−0.434913 + 0.900473i \(0.643221\pi\)
\(242\) −5.15910 16.7254i −0.331639 1.07515i
\(243\) 15.1098 + 3.83336i 0.969293 + 0.245910i
\(244\) 1.50596i 0.0964089i
\(245\) −27.4613 + 0.175418i −1.75444 + 0.0112071i
\(246\) 12.5087 8.44040i 0.797525 0.538140i
\(247\) −1.04554 + 0.503504i −0.0665259 + 0.0320372i
\(248\) −2.48112 2.30214i −0.157551 0.146186i
\(249\) −16.9659 1.35355i −1.07517 0.0857777i
\(250\) 10.2721 + 33.3012i 0.649662 + 2.10615i
\(251\) −2.96660 12.9975i −0.187250 0.820396i −0.978058 0.208332i \(-0.933197\pi\)
0.790808 0.612064i \(-0.209661\pi\)
\(252\) 0.460646 5.65843i 0.0290180 0.356448i
\(253\) −0.686347 + 3.00708i −0.0431503 + 0.189054i
\(254\) −1.31528 + 0.0985663i −0.0825278 + 0.00618460i
\(255\) −11.6541 38.4373i −0.729806 2.40704i
\(256\) 1.13831 15.1897i 0.0711445 0.949358i
\(257\) −4.50805 5.65292i −0.281204 0.352619i 0.621090 0.783739i \(-0.286690\pi\)
−0.902295 + 0.431120i \(0.858119\pi\)
\(258\) −16.4452 0.0791329i −1.02383 0.00492660i
\(259\) −7.05986 + 12.3187i −0.438678 + 0.765449i
\(260\) −0.305413 + 0.634196i −0.0189409 + 0.0393312i
\(261\) −14.8714 + 5.67205i −0.920517 + 0.351091i
\(262\) −29.2996 11.4992i −1.81013 0.710425i
\(263\) 5.60551i 0.345651i −0.984952 0.172825i \(-0.944710\pi\)
0.984952 0.172825i \(-0.0552896\pi\)
\(264\) 0.987886 2.02637i 0.0608002 0.124714i
\(265\) −26.5779 10.4311i −1.63267 0.640776i
\(266\) −4.42497 + 19.6765i −0.271312 + 1.20645i
\(267\) −0.869280 0.0693514i −0.0531991 0.00424424i
\(268\) 2.71405 + 0.409078i 0.165787 + 0.0249884i
\(269\) −0.156647 2.09030i −0.00955091 0.127448i 0.990390 0.138301i \(-0.0441643\pi\)
−0.999941 + 0.0108533i \(0.996545\pi\)
\(270\) −32.2379 + 9.43665i −1.96194 + 0.574296i
\(271\) −24.9916 + 9.80848i −1.51813 + 0.595823i −0.970544 0.240926i \(-0.922549\pi\)
−0.547588 + 0.836748i \(0.684454\pi\)
\(272\) 10.6225 + 27.0656i 0.644082 + 1.64109i
\(273\) −0.421712 + 1.06941i −0.0255232 + 0.0647239i
\(274\) 3.51982 8.96835i 0.212640 0.541798i
\(275\) 6.38836i 0.385233i
\(276\) −5.15204 + 3.47641i −0.310116 + 0.209255i
\(277\) −10.7100 13.4299i −0.643502 0.806926i 0.347934 0.937519i \(-0.386883\pi\)
−0.991436 + 0.130593i \(0.958312\pi\)
\(278\) −6.80454 2.09892i −0.408109 0.125885i
\(279\) 1.45779 4.56945i 0.0872757 0.273566i
\(280\) −9.59722 19.7671i −0.573543 1.18131i
\(281\) −7.13752 0.534883i −0.425789 0.0319085i −0.139887 0.990167i \(-0.544674\pi\)
−0.285902 + 0.958259i \(0.592293\pi\)
\(282\) −29.7386 9.33010i −1.77091 0.555599i
\(283\) 0.978781 + 0.0733495i 0.0581825 + 0.00436017i 0.103790 0.994599i \(-0.466903\pi\)
−0.0456070 + 0.998959i \(0.514522\pi\)
\(284\) −1.86955 + 6.06094i −0.110937 + 0.359650i
\(285\) 31.1051 4.53538i 1.84251 0.268652i
\(286\) 0.172856 0.186294i 0.0102212 0.0110158i
\(287\) −5.06897 + 13.0378i −0.299212 + 0.769597i
\(288\) 10.8517 4.13889i 0.639441 0.243887i
\(289\) −13.1505 12.2019i −0.773557 0.717756i
\(290\) 21.3840 26.8147i 1.25571 1.57461i
\(291\) 2.44481 + 6.31851i 0.143317 + 0.370397i
\(292\) −0.0211232 0.0438628i −0.00123614 0.00256688i
\(293\) 9.52410 + 16.4962i 0.556404 + 0.963719i 0.997793 + 0.0664036i \(0.0211525\pi\)
−0.441389 + 0.897316i \(0.645514\pi\)
\(294\) 10.0165 + 17.2862i 0.584176 + 1.00815i
\(295\) 28.5366 49.4268i 1.66147 2.87774i
\(296\) −11.3291 0.848998i −0.658490 0.0493470i
\(297\) 3.19429 + 0.0461148i 0.185351 + 0.00267585i
\(298\) −11.7335 1.76854i −0.679705 0.102449i
\(299\) 1.20260 0.370953i 0.0695481 0.0214528i
\(300\) 8.80103 9.39419i 0.508128 0.542374i
\(301\) 12.5685 8.62799i 0.724436 0.497309i
\(302\) −8.10931 26.2897i −0.466638 1.51280i
\(303\) 4.30522 3.39953i 0.247328 0.195298i
\(304\) −22.1845 + 5.06347i −1.27237 + 0.290410i
\(305\) 4.65306 6.82479i 0.266434 0.390786i
\(306\) −20.0800 + 21.2277i −1.14790 + 1.21351i
\(307\) −5.17475 10.7455i −0.295339 0.613277i 0.699513 0.714620i \(-0.253400\pi\)
−0.994852 + 0.101343i \(0.967686\pi\)
\(308\) −0.177076 1.14989i −0.0100899 0.0655212i
\(309\) 10.1195 + 12.8155i 0.575678 + 0.729046i
\(310\) 2.29984 + 10.0763i 0.130622 + 0.572293i
\(311\) −4.52957 + 0.682723i −0.256848 + 0.0387137i −0.276204 0.961099i \(-0.589077\pi\)
0.0193558 + 0.999813i \(0.493838\pi\)
\(312\) −0.917573 + 0.0643241i −0.0519473 + 0.00364163i
\(313\) 17.5247 10.1179i 0.990557 0.571898i 0.0851163 0.996371i \(-0.472874\pi\)
0.905441 + 0.424473i \(0.139540\pi\)
\(314\) 20.4767 + 25.6770i 1.15557 + 1.44903i
\(315\) 19.5709 24.2200i 1.10269 1.36464i
\(316\) −1.66645 + 2.08966i −0.0937451 + 0.117553i
\(317\) 0.132452 0.878759i 0.00743922 0.0493560i −0.984803 0.173674i \(-0.944436\pi\)
0.992242 + 0.124318i \(0.0396742\pi\)
\(318\) 2.99694 + 20.5540i 0.168060 + 1.15261i
\(319\) −2.69505 + 1.83745i −0.150894 + 0.102877i
\(320\) 8.45970 10.6081i 0.472912 0.593012i
\(321\) 1.06063 13.2944i 0.0591987 0.742021i
\(322\) 7.92569 20.3855i 0.441682 1.13604i
\(323\) 21.3785 17.0488i 1.18953 0.948622i
\(324\) 4.63372 + 4.46847i 0.257429 + 0.248249i
\(325\) −2.25738 + 1.30330i −0.125217 + 0.0722940i
\(326\) −18.9741 + 15.1313i −1.05088 + 0.838047i
\(327\) −3.78185 12.4732i −0.209137 0.689771i
\(328\) −11.1617 + 0.836452i −0.616301 + 0.0461853i
\(329\) 27.5819 8.60445i 1.52064 0.474379i
\(330\) −5.97813 + 3.41323i −0.329085 + 0.187892i
\(331\) 7.18558 18.3086i 0.394955 1.00633i −0.585690 0.810535i \(-0.699176\pi\)
0.980645 0.195794i \(-0.0627285\pi\)
\(332\) −5.80712 3.95923i −0.318707 0.217291i
\(333\) −5.73728 15.0424i −0.314401 0.824320i
\(334\) 21.4321 + 31.4351i 1.17271 + 1.72005i
\(335\) 11.0358 + 10.2397i 0.602949 + 0.559455i
\(336\) −12.7281 + 18.6039i −0.694375 + 1.01493i
\(337\) −10.7078 + 9.93537i −0.583290 + 0.541214i −0.915670 0.401932i \(-0.868339\pi\)
0.332380 + 0.943146i \(0.392148\pi\)
\(338\) 20.7833 + 4.74364i 1.13046 + 0.258020i
\(339\) 28.9739 + 19.9590i 1.57365 + 1.08402i
\(340\) 3.69080 16.1704i 0.200162 0.876965i
\(341\) 0.0734553 0.980192i 0.00397783 0.0530804i
\(342\) −14.0854 18.0156i −0.761653 0.974169i
\(343\) −16.7624 7.87539i −0.905085 0.425231i
\(344\) 10.5641 + 6.09916i 0.569576 + 0.328845i
\(345\) −34.0897 0.164037i −1.83533 0.00883145i
\(346\) −22.5165 + 24.2671i −1.21050 + 1.30461i
\(347\) 0.781854 0.306855i 0.0419721 0.0164728i −0.344262 0.938874i \(-0.611871\pi\)
0.386234 + 0.922401i \(0.373776\pi\)
\(348\) −6.49450 1.01087i −0.348142 0.0541884i
\(349\) −9.10000 + 29.5015i −0.487112 + 1.57918i 0.294652 + 0.955605i \(0.404796\pi\)
−0.781764 + 0.623574i \(0.785680\pi\)
\(350\) −6.60864 + 44.8162i −0.353247 + 2.39553i
\(351\) −0.635376 1.13814i −0.0339139 0.0607492i
\(352\) 1.96657 1.34079i 0.104819 0.0714642i
\(353\) 4.40620 + 19.3048i 0.234518 + 1.02749i 0.945842 + 0.324628i \(0.105239\pi\)
−0.711323 + 0.702865i \(0.751904\pi\)
\(354\) −41.5204 0.199793i −2.20678 0.0106189i
\(355\) −27.1995 + 21.6909i −1.44360 + 1.15123i
\(356\) −0.297538 0.202858i −0.0157695 0.0107515i
\(357\) 4.08050 26.7783i 0.215963 1.41726i
\(358\) 24.5453 16.7347i 1.29726 0.884457i
\(359\) 8.89554 28.8386i 0.469489 1.52205i −0.343152 0.939280i \(-0.611495\pi\)
0.812641 0.582765i \(-0.198029\pi\)
\(360\) 24.2367 + 5.77781i 1.27738 + 0.304517i
\(361\) 1.20004 + 2.07852i 0.0631598 + 0.109396i
\(362\) −2.84936 4.93524i −0.149759 0.259390i
\(363\) −17.9561 + 4.00756i −0.942450 + 0.210342i
\(364\) −0.370198 + 0.297162i −0.0194037 + 0.0155755i
\(365\) 0.0397986 0.264046i 0.00208315 0.0138208i
\(366\) −5.99018 0.477899i −0.313112 0.0249802i
\(367\) −1.41865 + 2.94585i −0.0740527 + 0.153772i −0.934709 0.355415i \(-0.884340\pi\)
0.860656 + 0.509187i \(0.170054\pi\)
\(368\) 24.6087 1.84417i 1.28282 0.0961340i
\(369\) −7.79819 13.8121i −0.405957 0.719032i
\(370\) 27.1231 + 21.6299i 1.41006 + 1.12449i
\(371\) −13.1419 14.0732i −0.682292 0.730642i
\(372\) 1.45839 1.34019i 0.0756142 0.0694857i
\(373\) 14.3716 0.744134 0.372067 0.928206i \(-0.378649\pi\)
0.372067 + 0.928206i \(0.378649\pi\)
\(374\) −2.99413 + 5.18598i −0.154823 + 0.268161i
\(375\) 35.7516 7.97928i 1.84621 0.412048i
\(376\) 15.7247 + 16.9472i 0.810941 + 0.873987i
\(377\) 1.19910 + 0.577455i 0.0617567 + 0.0297404i
\(378\) −22.3611 3.62794i −1.15013 0.186601i
\(379\) −1.56199 + 0.752216i −0.0802342 + 0.0386387i −0.473571 0.880756i \(-0.657035\pi\)
0.393336 + 0.919395i \(0.371321\pi\)
\(380\) 12.0834 + 4.74240i 0.619867 + 0.243280i
\(381\) −0.00667117 + 1.38638i −0.000341774 + 0.0710266i
\(382\) 3.89761 + 1.20225i 0.199419 + 0.0615126i
\(383\) 9.06954 + 4.36766i 0.463432 + 0.223177i 0.651005 0.759074i \(-0.274348\pi\)
−0.187573 + 0.982251i \(0.560062\pi\)
\(384\) −23.0049 3.58072i −1.17396 0.182728i
\(385\) 2.75042 5.75829i 0.140175 0.293469i
\(386\) −6.36949 + 1.45379i −0.324198 + 0.0739962i
\(387\) −1.45763 + 17.2246i −0.0740954 + 0.875576i
\(388\) −0.416983 + 2.76650i −0.0211691 + 0.140448i
\(389\) 31.8433 + 7.26802i 1.61452 + 0.368503i 0.932026 0.362390i \(-0.118039\pi\)
0.682491 + 0.730894i \(0.260896\pi\)
\(390\) 2.42570 + 1.41608i 0.122830 + 0.0717062i
\(391\) −25.6817 + 14.8273i −1.29878 + 0.749850i
\(392\) −0.0946599 14.8188i −0.00478105 0.748460i
\(393\) −14.4981 + 29.7388i −0.731335 + 1.50012i
\(394\) 3.84579 + 2.62202i 0.193748 + 0.132095i
\(395\) −14.0087 + 4.32111i −0.704855 + 0.217419i
\(396\) 1.13608 + 0.670577i 0.0570902 + 0.0336977i
\(397\) 14.5476 15.6786i 0.730125 0.786888i −0.253457 0.967347i \(-0.581568\pi\)
0.983583 + 0.180459i \(0.0577582\pi\)
\(398\) 35.1469 + 10.8414i 1.76176 + 0.543430i
\(399\) 20.2471 + 6.28131i 1.01362 + 0.314459i
\(400\) −48.8411 + 15.0655i −2.44206 + 0.753275i
\(401\) −12.1425 + 25.2142i −0.606369 + 1.25914i 0.341321 + 0.939947i \(0.389126\pi\)
−0.947690 + 0.319191i \(0.896589\pi\)
\(402\) 2.48845 10.6658i 0.124113 0.531961i
\(403\) −0.361345 + 0.174014i −0.0179999 + 0.00866827i
\(404\) 2.23998 0.337623i 0.111443 0.0167974i
\(405\) 7.19282 + 34.5677i 0.357414 + 1.71768i
\(406\) 20.8073 10.1023i 1.03265 0.501368i
\(407\) −1.85858 2.72604i −0.0921264 0.135125i
\(408\) 20.7417 6.28881i 1.02687 0.311343i
\(409\) 0.146876 + 0.974458i 0.00726254 + 0.0481838i 0.992169 0.124906i \(-0.0398630\pi\)
−0.984906 + 0.173090i \(0.944625\pi\)
\(410\) 29.5999 + 17.0895i 1.46184 + 0.843991i
\(411\) −9.10279 4.43776i −0.449007 0.218898i
\(412\) 1.00501 + 6.66783i 0.0495135 + 0.328500i
\(413\) 31.7326 21.7837i 1.56146 1.07191i
\(414\) 12.1930 + 21.5963i 0.599254 + 1.06140i
\(415\) −14.0840 35.8854i −0.691355 1.76154i
\(416\) −0.874981 0.421369i −0.0428995 0.0206593i
\(417\) −2.76807 + 6.95433i −0.135553 + 0.340555i
\(418\) −3.66407 2.92200i −0.179215 0.142920i
\(419\) −14.3757 2.16679i −0.702301 0.105855i −0.211822 0.977308i \(-0.567940\pi\)
−0.490478 + 0.871453i \(0.663178\pi\)
\(420\) 11.9775 4.67848i 0.584444 0.228287i
\(421\) 18.8890 2.84705i 0.920592 0.138757i 0.328386 0.944544i \(-0.393495\pi\)
0.592206 + 0.805787i \(0.298257\pi\)
\(422\) −12.5349 7.23703i −0.610190 0.352293i
\(423\) −12.2620 + 30.3801i −0.596200 + 1.47713i
\(424\) 5.62885 14.3421i 0.273361 0.696513i
\(425\) 45.0240 41.7762i 2.18399 2.02644i
\(426\) 23.5151 + 9.35982i 1.13931 + 0.453485i
\(427\) 4.81535 2.80069i 0.233031 0.135535i
\(428\) 3.10242 4.55042i 0.149961 0.219953i
\(429\) −0.180749 0.196691i −0.00872665 0.00949633i
\(430\) −16.1617 33.5602i −0.779388 1.61842i
\(431\) −0.259687 0.279876i −0.0125087 0.0134811i 0.726767 0.686885i \(-0.241022\pi\)
−0.739275 + 0.673403i \(0.764832\pi\)
\(432\) −7.18043 24.5301i −0.345469 1.18021i
\(433\) −30.2323 6.90032i −1.45287 0.331608i −0.578028 0.816017i \(-0.696178\pi\)
−0.874842 + 0.484409i \(0.839035\pi\)
\(434\) −1.52930 + 6.80034i −0.0734087 + 0.326427i
\(435\) −26.3088 24.6477i −1.26141 1.18177i
\(436\) 1.19770 5.24745i 0.0573592 0.251307i
\(437\) −8.47894 21.6040i −0.405603 1.03346i
\(438\) −0.181175 + 0.0701016i −0.00865686 + 0.00334959i
\(439\) 0.282707 0.414654i 0.0134928 0.0197904i −0.819433 0.573175i \(-0.805712\pi\)
0.832926 + 0.553384i \(0.186664\pi\)
\(440\) 5.10613 0.243425
\(441\) 18.9497 9.05028i 0.902368 0.430966i
\(442\) 2.44334 0.116218
\(443\) −13.6183 + 19.9743i −0.647023 + 0.949009i 0.352888 + 0.935666i \(0.385200\pi\)
−0.999911 + 0.0133433i \(0.995753\pi\)
\(444\) 1.02250 6.56918i 0.0485255 0.311760i
\(445\) −0.721617 1.83865i −0.0342079 0.0871604i
\(446\) −4.90765 + 21.5018i −0.232384 + 1.01814i
\(447\) −2.83393 + 12.1465i −0.134040 + 0.574511i
\(448\) 8.23156 3.99655i 0.388905 0.188819i
\(449\) −11.8284 2.69977i −0.558219 0.127410i −0.0659025 0.997826i \(-0.520993\pi\)
−0.492317 + 0.870416i \(0.663850\pi\)
\(450\) −34.5740 37.9887i −1.62983 1.79080i
\(451\) −2.21095 2.38284i −0.104110 0.112204i
\(452\) 6.30386 + 13.0901i 0.296508 + 0.615706i
\(453\) −28.2242 + 6.29927i −1.32609 + 0.295965i
\(454\) 25.5680 37.5013i 1.19996 1.76002i
\(455\) −2.59585 + 0.202872i −0.121696 + 0.00951078i
\(456\) 2.44740 + 16.7851i 0.114610 + 0.786032i
\(457\) 13.8269 12.8295i 0.646795 0.600138i −0.287007 0.957928i \(-0.592660\pi\)
0.933802 + 0.357791i \(0.116470\pi\)
\(458\) −10.9874 + 27.9953i −0.513406 + 1.30814i
\(459\) 20.5638 + 22.8143i 0.959835 + 1.06488i
\(460\) −12.1915 7.03878i −0.568433 0.328185i
\(461\) 28.5107 4.29730i 1.32788 0.200145i 0.553488 0.832857i \(-0.313296\pi\)
0.774387 + 0.632712i \(0.218058\pi\)
\(462\) −4.63008 + 0.339444i −0.215411 + 0.0157924i
\(463\) 18.4423 + 2.77973i 0.857086 + 0.129185i 0.562861 0.826551i \(-0.309700\pi\)
0.294225 + 0.955736i \(0.404939\pi\)
\(464\) 20.4036 + 16.2713i 0.947211 + 0.755376i
\(465\) 10.7501 1.56746i 0.498526 0.0726891i
\(466\) 43.9318 + 21.1565i 2.03510 + 0.980054i
\(467\) −2.74679 6.99871i −0.127106 0.323862i 0.853128 0.521702i \(-0.174703\pi\)
−0.980234 + 0.197840i \(0.936607\pi\)
\(468\) 0.00518014 0.538249i 0.000239452 0.0248806i
\(469\) 3.73940 + 9.43907i 0.172669 + 0.435856i
\(470\) −10.5217 69.8072i −0.485332 3.21997i
\(471\) 28.6160 19.3090i 1.31856 0.889712i
\(472\) 26.6719 + 15.3990i 1.22767 + 0.708798i
\(473\) 0.527989 + 3.50298i 0.0242769 + 0.161067i
\(474\) 7.78314 + 7.29171i 0.357491 + 0.334919i
\(475\) 27.0779 + 39.7160i 1.24242 + 1.82229i
\(476\) 6.94626 8.76763i 0.318381 0.401864i
\(477\) 21.7870 1.42200i 0.997557 0.0651091i
\(478\) 12.9083 1.94562i 0.590412 0.0889904i
\(479\) −27.5130 + 13.2496i −1.25710 + 0.605388i −0.939407 0.342805i \(-0.888623\pi\)
−0.317695 + 0.948193i \(0.602909\pi\)
\(480\) 19.1975 + 17.9854i 0.876244 + 0.820917i
\(481\) −0.584095 + 1.21289i −0.0266325 + 0.0553029i
\(482\) 10.8243 3.33885i 0.493033 0.152080i
\(483\) −20.6974 10.0086i −0.941764 0.455408i
\(484\) −7.25990 2.23938i −0.329996 0.101790i
\(485\) −10.4376 + 11.2490i −0.473946 + 0.510792i
\(486\) 19.2445 17.0134i 0.872950 0.771741i
\(487\) −21.5165 + 6.63697i −0.975007 + 0.300750i −0.741015 0.671488i \(-0.765655\pi\)
−0.233992 + 0.972238i \(0.575179\pi\)
\(488\) 3.68282 + 2.51090i 0.166713 + 0.113663i
\(489\) 14.2685 + 21.1459i 0.645242 + 0.956251i
\(490\) −25.2518 + 37.5508i −1.14076 + 1.69637i
\(491\) −16.2940 + 9.40733i −0.735336 + 0.424547i −0.820371 0.571831i \(-0.806233\pi\)
0.0850348 + 0.996378i \(0.472900\pi\)
\(492\) 0.0315179 6.54996i 0.00142094 0.295295i
\(493\) −30.5740 6.97833i −1.37699 0.314288i
\(494\) −0.284999 + 1.89085i −0.0128227 + 0.0850733i
\(495\) 3.07664 + 6.54920i 0.138285 + 0.294365i
\(496\) −7.66712 + 1.74997i −0.344264 + 0.0785760i
\(497\) −22.8570 + 5.29381i −1.02527 + 0.237460i
\(498\) −17.5913 + 21.8424i −0.788285 + 0.978779i
\(499\) −6.15655 2.96484i −0.275605 0.132724i 0.290976 0.956730i \(-0.406020\pi\)
−0.566581 + 0.824006i \(0.691734\pi\)
\(500\) 14.4549 + 4.45874i 0.646442 + 0.199401i
\(501\) 34.7293 19.8288i 1.55159 0.885884i
\(502\) −20.4496 8.02586i −0.912709 0.358212i
\(503\) 8.64551 4.16346i 0.385484 0.185639i −0.231097 0.972931i \(-0.574231\pi\)
0.616581 + 0.787291i \(0.288517\pi\)
\(504\) 13.0697 + 10.5609i 0.582169 + 0.470420i
\(505\) 11.1945 + 5.39098i 0.498148 + 0.239896i
\(506\) 3.45698 + 3.72574i 0.153682 + 0.165629i
\(507\) 6.70773 21.3801i 0.297901 0.949525i
\(508\) −0.286258 + 0.495814i −0.0127007 + 0.0219982i
\(509\) −18.6542 −0.826832 −0.413416 0.910542i \(-0.635664\pi\)
−0.413416 + 0.910542i \(0.635664\pi\)
\(510\) −63.1493 19.8123i −2.79630 0.877301i
\(511\) 0.100969 0.149116i 0.00446662 0.00659649i
\(512\) 1.39457 + 1.11213i 0.0616318 + 0.0491498i
\(513\) −20.0541 + 13.2527i −0.885411 + 0.585121i
\(514\) −11.8809 + 0.890349i −0.524043 + 0.0392716i
\(515\) −16.0475 + 33.3230i −0.707137 + 1.46839i
\(516\) −4.04952 + 5.87857i −0.178270 + 0.258790i
\(517\) −1.00066 + 6.63897i −0.0440092 + 0.291982i
\(518\) 10.2184 + 21.0466i 0.448973 + 0.924734i
\(519\) 23.5447 + 25.6214i 1.03350 + 1.12465i
\(520\) −1.04171 1.80429i −0.0456819 0.0791234i
\(521\) −12.1225 20.9968i −0.531097 0.919886i −0.999341 0.0362876i \(-0.988447\pi\)
0.468245 0.883599i \(-0.344887\pi\)
\(522\) −6.08187 + 25.5121i −0.266196 + 1.11664i
\(523\) 5.90567 19.1457i 0.258237 0.837184i −0.729893 0.683562i \(-0.760430\pi\)
0.988130 0.153622i \(-0.0490938\pi\)
\(524\) −11.2884 + 7.69628i −0.493135 + 0.336213i
\(525\) 46.4059 + 10.6709i 2.02532 + 0.465715i
\(526\) −7.63178 5.20326i −0.332762 0.226873i
\(527\) 7.38857 5.89219i 0.321851 0.256668i
\(528\) −2.59716 4.54882i −0.113027 0.197962i
\(529\) 0.482713 + 2.11490i 0.0209875 + 0.0919524i
\(530\) −38.8724 + 26.5028i −1.68851 + 1.15121i
\(531\) −3.68019 + 43.4883i −0.159706 + 1.88723i
\(532\) 5.97484 + 6.39824i 0.259042 + 0.277399i
\(533\) −0.390936 + 1.26738i −0.0169333 + 0.0548965i
\(534\) −0.901321 + 1.11913i −0.0390040 + 0.0484295i
\(535\) 28.1195 11.0361i 1.21571 0.477132i
\(536\) −5.52558 + 5.95516i −0.238669 + 0.257224i
\(537\) −15.4828 27.1175i −0.668131 1.17020i
\(538\) −2.99131 1.72703i −0.128964 0.0744577i
\(539\) 3.34751 2.70471i 0.144187 0.116500i
\(540\) −4.49836 + 13.8693i −0.193579 + 0.596839i
\(541\) −2.30888 + 30.8098i −0.0992664 + 1.32462i 0.695861 + 0.718176i \(0.255023\pi\)
−0.795128 + 0.606442i \(0.792596\pi\)
\(542\) −9.84417 + 43.1301i −0.422843 + 1.85260i
\(543\) −5.40932 + 2.57300i −0.232136 + 0.110418i
\(544\) 22.3099 + 5.09208i 0.956528 + 0.218321i
\(545\) 21.6412 20.0801i 0.927008 0.860138i
\(546\) 1.06453 + 1.56683i 0.0455578 + 0.0670539i
\(547\) 4.84044 + 4.49128i 0.206962 + 0.192033i 0.776843 0.629695i \(-0.216820\pi\)
−0.569880 + 0.821728i \(0.693010\pi\)
\(548\) −2.35576 3.45527i −0.100633 0.147602i
\(549\) −1.00148 + 6.23656i −0.0427423 + 0.266170i
\(550\) −8.69762 5.92994i −0.370868 0.252853i
\(551\) 8.96663 22.8466i 0.381991 0.973297i
\(552\) 0.0885181 18.3956i 0.00376758 0.782968i
\(553\) −9.78094 1.44231i −0.415928 0.0613331i
\(554\) −28.2260 + 2.11525i −1.19921 + 0.0898683i
\(555\) 24.9311 26.6114i 1.05827 1.12959i
\(556\) −2.41659 + 1.92717i −0.102486 + 0.0817301i
\(557\) −28.1033 + 16.2255i −1.19078 + 0.687495i −0.958483 0.285151i \(-0.907956\pi\)
−0.232293 + 0.972646i \(0.574623\pi\)
\(558\) −4.86802 6.22630i −0.206080 0.263580i
\(559\) 1.13009 0.901216i 0.0477977 0.0381174i
\(560\) −50.5102 7.44828i −2.13445 0.314747i
\(561\) 5.18357 + 3.57075i 0.218850 + 0.150757i
\(562\) −7.35357 + 9.22108i −0.310191 + 0.388968i
\(563\) −19.1349 + 13.0460i −0.806440 + 0.549821i −0.894904 0.446258i \(-0.852756\pi\)
0.0884646 + 0.996079i \(0.471804\pi\)
\(564\) −10.6178 + 8.38413i −0.447089 + 0.353036i
\(565\) −11.8772 + 78.8001i −0.499677 + 3.31514i
\(566\) 1.00841 1.26450i 0.0423865 0.0531510i
\(567\) −5.67060 + 23.1267i −0.238143 + 0.971230i
\(568\) −11.7049 14.6775i −0.491127 0.615853i
\(569\) 18.3213 10.5778i 0.768071 0.443446i −0.0641151 0.997943i \(-0.520422\pi\)
0.832186 + 0.554497i \(0.187089\pi\)
\(570\) 22.6982 46.5589i 0.950723 1.95014i
\(571\) 36.4652 5.49625i 1.52602 0.230011i 0.668209 0.743973i \(-0.267061\pi\)
0.857813 + 0.513963i \(0.171823\pi\)
\(572\) −0.0245465 0.107545i −0.00102634 0.00449670i
\(573\) 1.58553 3.98340i 0.0662366 0.166409i
\(574\) 13.0455 + 19.0035i 0.544508 + 0.793191i
\(575\) −22.6184 46.9675i −0.943251 1.95868i
\(576\) −2.40604 + 10.0928i −0.100252 + 0.420534i
\(577\) −8.06209 + 11.8249i −0.335629 + 0.492278i −0.956539 0.291604i \(-0.905811\pi\)
0.620910 + 0.783882i \(0.286763\pi\)
\(578\) −28.8194 + 6.57783i −1.19873 + 0.273602i
\(579\) 0.990834 + 6.79547i 0.0411777 + 0.282410i
\(580\) −4.38810 14.2259i −0.182206 0.590697i
\(581\) 1.86004 25.9316i 0.0771674 1.07583i
\(582\) 10.8719 + 2.53654i 0.450654 + 0.105143i
\(583\) 4.27563 1.31886i 0.177079 0.0546215i
\(584\) 0.142486 + 0.0214763i 0.00589610 + 0.000888694i
\(585\) 1.68654 2.42327i 0.0697300 0.100190i
\(586\) 31.2999 + 2.34560i 1.29299 + 0.0968960i
\(587\) −14.4544 + 25.0357i −0.596597 + 1.03334i 0.396723 + 0.917938i \(0.370147\pi\)
−0.993319 + 0.115397i \(0.963186\pi\)
\(588\) 8.64875 + 0.634430i 0.356669 + 0.0261635i
\(589\) 3.69801 + 6.40513i 0.152374 + 0.263919i
\(590\) −40.8048 84.7320i −1.67991 3.48836i
\(591\) 3.06883 3.81043i 0.126235 0.156740i
\(592\) −16.4584 + 20.6382i −0.676436 + 0.848224i
\(593\) 12.9274 + 11.9948i 0.530863 + 0.492569i 0.899450 0.437024i \(-0.143968\pi\)
−0.368586 + 0.929594i \(0.620158\pi\)
\(594\) 3.02785 4.30615i 0.124234 0.176683i
\(595\) 58.5695 18.2714i 2.40112 0.749053i
\(596\) −3.50333 + 3.77569i −0.143502 + 0.154658i
\(597\) 14.2977 35.9206i 0.585164 1.47013i
\(598\) 0.611257 1.98165i 0.0249962 0.0810356i
\(599\) −41.0369 3.07529i −1.67672 0.125653i −0.797897 0.602794i \(-0.794054\pi\)
−0.878827 + 0.477140i \(0.841673\pi\)
\(600\) 8.29941 + 37.1860i 0.338822 + 1.51811i
\(601\) −2.92393 0.219118i −0.119270 0.00893802i 0.0149616 0.999888i \(-0.495237\pi\)
−0.134231 + 0.990950i \(0.542856\pi\)
\(602\) −0.0802324 25.1206i −0.00327003 1.02384i
\(603\) −10.9676 3.49899i −0.446634 0.142490i
\(604\) −11.4115 3.51997i −0.464326 0.143226i
\(605\) −25.9817 32.5800i −1.05631 1.32457i
\(606\) −0.632117 9.01705i −0.0256780 0.366292i
\(607\) 18.7729i 0.761970i −0.924581 0.380985i \(-0.875585\pi\)
0.924581 0.380985i \(-0.124415\pi\)
\(608\) −6.54294 + 16.6711i −0.265351 + 0.676104i
\(609\) −8.84579 22.6464i −0.358449 0.917677i
\(610\) −4.97264 12.6701i −0.201336 0.512997i
\(611\) 2.55008 1.00083i 0.103165 0.0404894i
\(612\) 2.70321 + 12.3921i 0.109271 + 0.500920i
\(613\) 1.46259 + 19.5170i 0.0590736 + 0.788283i 0.945543 + 0.325496i \(0.105531\pi\)
−0.886470 + 0.462786i \(0.846850\pi\)
\(614\) −19.4332 2.92908i −0.784258 0.118208i
\(615\) 20.3807 29.5862i 0.821831 1.19303i
\(616\) 3.10731 + 1.48419i 0.125197 + 0.0597998i
\(617\) −5.67446 2.22706i −0.228445 0.0896581i 0.248358 0.968668i \(-0.420109\pi\)
−0.476803 + 0.879010i \(0.658204\pi\)
\(618\) 26.8413 1.88164i 1.07972 0.0756907i
\(619\) 9.77957i 0.393074i 0.980496 + 0.196537i \(0.0629696\pi\)
−0.980496 + 0.196537i \(0.937030\pi\)
\(620\) 4.17612 + 1.63900i 0.167717 + 0.0658240i
\(621\) 23.6478 10.9705i 0.948954 0.440232i
\(622\) −3.27502 + 6.80064i −0.131316 + 0.272681i
\(623\) 0.0953024 1.32865i 0.00381821 0.0532313i
\(624\) −1.07751 + 1.84574i −0.0431350 + 0.0738886i
\(625\) 19.3381 + 24.2492i 0.773524 + 0.969969i
\(626\) 2.49185 33.2514i 0.0995943 1.32899i
\(627\) −3.36796 + 3.59494i −0.134503 + 0.143568i
\(628\) 14.2157 1.06532i 0.567270 0.0425110i
\(629\) 7.05857 30.9256i 0.281444 1.23309i
\(630\) −14.8085 49.1273i −0.589984 1.95728i
\(631\) −7.06814 30.9676i −0.281378 1.23280i −0.896028 0.443999i \(-0.853560\pi\)
0.614649 0.788801i \(-0.289298\pi\)
\(632\) −2.33178 7.55943i −0.0927530 0.300698i
\(633\) −8.63079 + 12.5291i −0.343043 + 0.497986i
\(634\) −1.07346 0.996029i −0.0426327 0.0395574i
\(635\) −2.82924 + 1.36249i −0.112275 + 0.0540687i
\(636\) 8.10433 + 3.95099i 0.321357 + 0.156667i
\(637\) −1.63866 0.631078i −0.0649261 0.0250042i
\(638\) 5.37484i 0.212792i
\(639\) 11.7729 23.8566i 0.465729 0.943754i
\(640\) −15.5435 50.3910i −0.614413 1.99188i
\(641\) −34.1012 27.1948i −1.34691 1.07413i −0.990161 0.139930i \(-0.955312\pi\)
−0.356753 0.934199i \(-0.616116\pi\)
\(642\) −17.1155 13.7844i −0.675495 0.544028i
\(643\) 4.23526 + 4.56452i 0.167022 + 0.180007i 0.811017 0.585023i \(-0.198915\pi\)
−0.643994 + 0.765030i \(0.722724\pi\)
\(644\) −5.37313 7.82711i −0.211731 0.308431i
\(645\) −36.5153 + 14.1288i −1.43779 + 0.556322i
\(646\) −3.36718 44.9318i −0.132480 1.76782i
\(647\) 24.1178 22.3780i 0.948167 0.879771i −0.0446993 0.999000i \(-0.514233\pi\)
0.992867 + 0.119230i \(0.0380425\pi\)
\(648\) −18.6535 + 3.88141i −0.732780 + 0.152476i
\(649\) 1.33305 + 8.84423i 0.0523269 + 0.347166i
\(650\) −0.320978 + 4.28315i −0.0125898 + 0.167999i
\(651\) 6.99755 + 2.17086i 0.274256 + 0.0850829i
\(652\) 0.787224 + 10.5048i 0.0308301 + 0.411399i
\(653\) −30.4650 + 6.95344i −1.19219 + 0.272109i −0.772176 0.635409i \(-0.780832\pi\)
−0.420013 + 0.907518i \(0.637974\pi\)
\(654\) −20.4925 6.42925i −0.801320 0.251404i
\(655\) −74.9371 −2.92804
\(656\) −13.0036 + 22.5228i −0.507704 + 0.879369i
\(657\) 0.0583073 + 0.195695i 0.00227478 + 0.00763477i
\(658\) 13.8878 45.5391i 0.541404 1.77530i
\(659\) −8.39616 + 3.29525i −0.327068 + 0.128365i −0.523193 0.852214i \(-0.675259\pi\)
0.196125 + 0.980579i \(0.437164\pi\)
\(660\) −0.237634 + 2.97860i −0.00924988 + 0.115942i
\(661\) −0.478247 0.701460i −0.0186017 0.0272836i 0.816825 0.576885i \(-0.195732\pi\)
−0.835427 + 0.549601i \(0.814780\pi\)
\(662\) −18.2568 26.7778i −0.709570 1.04075i
\(663\) 0.204248 2.56013i 0.00793234 0.0994272i
\(664\) 19.3646 7.60005i 0.751492 0.294939i
\(665\) 7.30806 + 47.4569i 0.283394 + 1.84030i
\(666\) −25.8055 6.15181i −0.999943 0.238378i
\(667\) −13.3085 + 23.0510i −0.515306 + 0.892537i
\(668\) 16.5145 0.638964
\(669\) 22.1193 + 6.93964i 0.855182 + 0.268302i
\(670\) 24.1850 5.52006i 0.934347 0.213259i
\(671\) 0.0967353 + 1.29084i 0.00373443 + 0.0498324i
\(672\) 6.45477 + 16.5250i 0.248998 + 0.637468i
\(673\) 0.349730 4.66683i 0.0134811 0.179893i −0.986398 0.164372i \(-0.947440\pi\)
0.999880 0.0155210i \(-0.00494068\pi\)
\(674\) 3.58740 + 23.8008i 0.138181 + 0.916773i
\(675\) −42.6946 + 33.0510i −1.64332 + 1.27213i
\(676\) 6.78314 6.29383i 0.260890 0.242071i
\(677\) −3.19076 42.5777i −0.122631 1.63640i −0.631375 0.775478i \(-0.717509\pi\)
0.508744 0.860918i \(-0.330110\pi\)
\(678\) 54.0684 20.9206i 2.07649 0.803451i
\(679\) −9.62147 + 3.81166i −0.369238 + 0.146278i
\(680\) 33.3911 + 35.9871i 1.28049 + 1.38004i
\(681\) −37.1565 29.9249i −1.42384 1.14673i
\(682\) −1.26633 1.00986i −0.0484901 0.0386696i
\(683\) 10.5682 + 34.2613i 0.404381 + 1.31097i 0.897502 + 0.441011i \(0.145380\pi\)
−0.493120 + 0.869961i \(0.664144\pi\)
\(684\) −9.90526 + 0.646502i −0.378737 + 0.0247196i
\(685\) 22.9376i 0.876401i
\(686\) −26.2817 + 15.5114i −1.00344 + 0.592228i
\(687\) 28.4150 + 13.8528i 1.08410 + 0.528516i
\(688\) 25.5363 12.2976i 0.973561 0.468842i
\(689\) −1.33831 1.24177i −0.0509854 0.0473075i
\(690\) −31.8667 + 46.2601i −1.21315 + 1.76109i
\(691\) −4.78948 15.5271i −0.182200 0.590679i −0.999887 0.0150158i \(-0.995220\pi\)
0.817687 0.575663i \(-0.195256\pi\)
\(692\) 3.19748 + 14.0091i 0.121550 + 0.532546i
\(693\) −0.0313768 + 4.87976i −0.00119191 + 0.185367i
\(694\) 0.307972 1.34931i 0.0116904 0.0512192i
\(695\) −16.9062 + 1.26694i −0.641288 + 0.0480579i
\(696\) 13.3005 14.1969i 0.504153 0.538131i
\(697\) 2.33548 31.1648i 0.0884625 1.18045i
\(698\) 31.7187 + 39.7739i 1.20057 + 1.50547i
\(699\) 25.8401 44.2632i 0.977363 1.67419i
\(700\) 14.4570 + 13.3285i 0.546424 + 0.503769i
\(701\) 3.30209 6.85687i 0.124718 0.258980i −0.829256 0.558869i \(-0.811235\pi\)
0.953974 + 0.299889i \(0.0969496\pi\)
\(702\) −2.13933 0.191412i −0.0807437 0.00722439i
\(703\) 23.1093 + 9.06974i 0.871584 + 0.342072i
\(704\) 2.12633i 0.0801392i
\(705\) −74.0234 + 5.18922i −2.78788 + 0.195437i
\(706\) 30.3731 + 11.9206i 1.14311 + 0.448637i
\(707\) 5.24536 + 6.53455i 0.197272 + 0.245757i
\(708\) −10.2241 + 14.8421i −0.384246 + 0.557800i
\(709\) −20.0072 3.01560i −0.751386 0.113253i −0.237827 0.971308i \(-0.576435\pi\)
−0.513559 + 0.858054i \(0.671673\pi\)
\(710\) 4.28399 + 57.1658i 0.160775 + 2.14540i
\(711\) 8.29086 7.54562i 0.310932 0.282983i
\(712\) 0.992179 0.389402i 0.0371835 0.0145934i
\(713\) −2.93038 7.46648i −0.109744 0.279622i
\(714\) −32.6704 30.4122i −1.22266 1.13815i
\(715\) 0.221049 0.563225i 0.00826678 0.0210634i
\(716\) 12.8949i 0.481905i
\(717\) −0.959559 13.6879i −0.0358354 0.511186i
\(718\) −31.0060 38.8803i −1.15713 1.45100i
\(719\) −2.50768 0.773517i −0.0935207 0.0288473i 0.247642 0.968852i \(-0.420344\pi\)
−0.341162 + 0.940004i \(0.610821\pi\)
\(720\) 42.8152 38.9667i 1.59563 1.45220i
\(721\) −19.4516 + 15.6140i −0.724414 + 0.581496i
\(722\) 3.94379 + 0.295546i 0.146772 + 0.0109991i
\(723\) −2.59360 11.6208i −0.0964570 0.432181i
\(724\) −2.46670 0.184854i −0.0916742 0.00687003i
\(725\) 16.2494 52.6792i 0.603487 1.95646i
\(726\) −11.2114 + 28.1668i −0.416093 + 1.04537i
\(727\) 0.978536 1.05461i 0.0362919 0.0391133i −0.714645 0.699487i \(-0.753412\pi\)
0.750937 + 0.660374i \(0.229602\pi\)
\(728\) −0.109474 1.40078i −0.00405739 0.0519165i
\(729\) −16.2178 21.5866i −0.600661 0.799504i
\(730\) −0.322551 0.299283i −0.0119381 0.0110770i
\(731\) −21.2356 + 26.6286i −0.785427 + 0.984894i
\(732\) −1.63610 + 2.03147i −0.0604720 + 0.0750854i
\(733\) −2.96197 6.15060i −0.109403 0.227177i 0.839078 0.544010i \(-0.183095\pi\)
−0.948481 + 0.316833i \(0.897381\pi\)
\(734\) 2.69386 + 4.66591i 0.0994324 + 0.172222i
\(735\) 37.2347 + 29.5978i 1.37342 + 1.09173i
\(736\) 9.71120 16.8203i 0.357959 0.620004i
\(737\) −2.35265 0.176307i −0.0866611 0.00649435i
\(738\) −26.0435 2.20393i −0.958676 0.0811277i
\(739\) 29.8392 + 4.49754i 1.09765 + 0.165445i 0.672805 0.739820i \(-0.265089\pi\)
0.424848 + 0.905265i \(0.360327\pi\)
\(740\) 14.3894 4.43856i 0.528967 0.163165i
\(741\) 1.95740 + 0.456685i 0.0719070 + 0.0167767i
\(742\) −31.3591 + 4.82911i −1.15123 + 0.177282i
\(743\) 8.05636 + 26.1181i 0.295559 + 0.958179i 0.974576 + 0.224057i \(0.0719301\pi\)
−0.679017 + 0.734123i \(0.737594\pi\)
\(744\) 0.845837 + 5.80103i 0.0310099 + 0.212676i
\(745\) −27.5426 + 6.28642i −1.00908 + 0.230317i
\(746\) 13.3403 19.5666i 0.488423 0.716385i
\(747\) 21.4159 + 20.2580i 0.783565 + 0.741202i
\(748\) 1.12779 + 2.34188i 0.0412361 + 0.0856276i
\(749\) 20.3198 + 1.45751i 0.742471 + 0.0532564i
\(750\) 22.3225 56.0818i 0.815102 2.04782i
\(751\) 4.90023 + 21.4693i 0.178812 + 0.783426i 0.982180 + 0.187943i \(0.0601820\pi\)
−0.803368 + 0.595483i \(0.796961\pi\)
\(752\) 53.1169 8.00609i 1.93698 0.291952i
\(753\) −10.1189 + 20.7561i −0.368755 + 0.756395i
\(754\) 1.89924 1.09653i 0.0691664 0.0399332i
\(755\) −40.8393 51.2109i −1.48629 1.86375i
\(756\) −6.76882 + 7.13254i −0.246180 + 0.259408i
\(757\) 5.65993 7.09733i 0.205714 0.257957i −0.668263 0.743926i \(-0.732962\pi\)
0.873976 + 0.485969i \(0.161533\pi\)
\(758\) −0.425779 + 2.82486i −0.0154650 + 0.102603i
\(759\) 4.19281 3.31077i 0.152189 0.120173i
\(760\) −31.7444 + 21.6430i −1.15149 + 0.785073i
\(761\) 13.3528 16.7439i 0.484040 0.606967i −0.478506 0.878084i \(-0.658822\pi\)
0.962546 + 0.271117i \(0.0873930\pi\)
\(762\) 1.88134 + 1.29598i 0.0681537 + 0.0469484i
\(763\) 19.0063 5.92922i 0.688075 0.214652i
\(764\) 1.38421 1.10387i 0.0500790 0.0399367i
\(765\) −26.0381 + 64.5115i −0.941411 + 2.33242i
\(766\) 14.3652 8.29375i 0.519035 0.299665i
\(767\) 2.85322 2.27537i 0.103024 0.0821588i
\(768\) −18.0380 + 19.2536i −0.650889 + 0.694756i
\(769\) −33.5706 + 2.51577i −1.21059 + 0.0907209i −0.664682 0.747127i \(-0.731433\pi\)
−0.545904 + 0.837847i \(0.683814\pi\)
\(770\) −5.28673 9.08971i −0.190520 0.327571i
\(771\) −0.0602606 + 12.5232i −0.00217023 + 0.451012i
\(772\) −1.03606 + 2.63984i −0.0372887