Properties

Label 144.2.u.a.11.19
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.19
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.25087 + 0.659799i) q^{2} +(-1.71297 - 0.256373i) q^{3} +(1.12933 + 1.65064i) q^{4} +(2.03779 + 0.546024i) q^{5} +(-1.97354 - 1.45091i) q^{6} +(-0.0638076 + 0.110518i) q^{7} +(0.323550 + 2.80986i) q^{8} +(2.86855 + 0.878321i) q^{9} +O(q^{10})\) \(q+(1.25087 + 0.659799i) q^{2} +(-1.71297 - 0.256373i) q^{3} +(1.12933 + 1.65064i) q^{4} +(2.03779 + 0.546024i) q^{5} +(-1.97354 - 1.45091i) q^{6} +(-0.0638076 + 0.110518i) q^{7} +(0.323550 + 2.80986i) q^{8} +(2.86855 + 0.878321i) q^{9} +(2.18873 + 2.02753i) q^{10} +(-0.678695 + 0.181856i) q^{11} +(-1.51133 - 3.11703i) q^{12} +(-1.84311 - 0.493860i) q^{13} +(-0.152734 + 0.0961430i) q^{14} +(-3.35069 - 1.45776i) q^{15} +(-1.44923 + 3.72824i) q^{16} -4.32243i q^{17} +(3.00865 + 2.99133i) q^{18} +(-3.97707 - 3.97707i) q^{19} +(1.40005 + 3.98030i) q^{20} +(0.137635 - 0.172956i) q^{21} +(-0.968944 - 0.220325i) q^{22} +(6.81589 - 3.93516i) q^{23} +(0.166142 - 4.89616i) q^{24} +(-0.475689 - 0.274639i) q^{25} +(-1.97963 - 1.83383i) q^{26} +(-4.68856 - 2.23996i) q^{27} +(-0.254485 + 0.0194880i) q^{28} +(-0.926957 + 0.248377i) q^{29} +(-3.22943 - 4.03424i) q^{30} +(-4.91353 + 2.83683i) q^{31} +(-4.27267 + 3.70733i) q^{32} +(1.20921 - 0.137514i) q^{33} +(2.85194 - 5.40679i) q^{34} +(-0.190372 + 0.190372i) q^{35} +(1.78974 + 5.72685i) q^{36} +(-6.64358 - 6.64358i) q^{37} +(-2.35071 - 7.59884i) q^{38} +(3.03058 + 1.31849i) q^{39} +(-0.874924 + 5.90257i) q^{40} +(4.61325 + 7.99038i) q^{41} +(0.286278 - 0.125533i) q^{42} +(2.91294 + 10.8712i) q^{43} +(-1.06665 - 0.914906i) q^{44} +(5.36590 + 3.35613i) q^{45} +(11.1222 - 0.425234i) q^{46} +(5.92267 - 10.2584i) q^{47} +(3.43830 - 6.01482i) q^{48} +(3.49186 + 6.04807i) q^{49} +(-0.413816 - 0.657395i) q^{50} +(-1.10816 + 7.40421i) q^{51} +(-1.26629 - 3.60004i) q^{52} +(0.00259022 - 0.00259022i) q^{53} +(-4.38684 - 5.89539i) q^{54} -1.48233 q^{55} +(-0.331185 - 0.143532i) q^{56} +(5.79299 + 7.83221i) q^{57} +(-1.32338 - 0.300919i) q^{58} +(-1.09748 + 4.09587i) q^{59} +(-1.37780 - 7.17707i) q^{60} +(-1.19213 - 4.44908i) q^{61} +(-8.01790 + 0.306548i) q^{62} +(-0.280105 + 0.260982i) q^{63} +(-7.79063 + 1.81826i) q^{64} +(-3.48621 - 2.01276i) q^{65} +(1.60329 + 0.625822i) q^{66} +(-0.538862 + 2.01106i) q^{67} +(7.13478 - 4.88146i) q^{68} +(-12.6843 + 4.99340i) q^{69} +(-0.363737 + 0.112522i) q^{70} +3.80683i q^{71} +(-1.53984 + 8.34439i) q^{72} -1.87674i q^{73} +(-3.92680 - 12.6937i) q^{74} +(0.744431 + 0.592403i) q^{75} +(2.07328 - 11.0561i) q^{76} +(0.0232076 - 0.0866118i) q^{77} +(2.92091 + 3.64883i) q^{78} +(3.00919 + 1.73736i) q^{79} +(-4.98892 + 6.80604i) q^{80} +(7.45710 + 5.03901i) q^{81} +(0.498509 + 13.0387i) q^{82} +(-0.394284 - 1.47149i) q^{83} +(0.440923 + 0.0318610i) q^{84} +(2.36015 - 8.80821i) q^{85} +(-3.52914 + 15.5204i) q^{86} +(1.65153 - 0.187816i) q^{87} +(-0.730581 - 1.84820i) q^{88} -10.5967 q^{89} +(4.49766 + 7.73848i) q^{90} +(0.172185 - 0.172185i) q^{91} +(14.1929 + 6.80649i) q^{92} +(9.14402 - 3.59971i) q^{93} +(14.1769 - 8.92407i) q^{94} +(-5.93284 - 10.2760i) q^{95} +(8.26943 - 5.25514i) q^{96} +(3.31795 - 5.74685i) q^{97} +(0.377331 + 9.86925i) q^{98} +(-2.10659 - 0.0744506i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.25087 + 0.659799i 0.884496 + 0.466548i
\(3\) −1.71297 0.256373i −0.988985 0.148017i
\(4\) 1.12933 + 1.65064i 0.564665 + 0.825320i
\(5\) 2.03779 + 0.546024i 0.911327 + 0.244189i 0.683874 0.729600i \(-0.260294\pi\)
0.227452 + 0.973789i \(0.426960\pi\)
\(6\) −1.97354 1.45091i −0.805696 0.592330i
\(7\) −0.0638076 + 0.110518i −0.0241170 + 0.0417719i −0.877832 0.478969i \(-0.841011\pi\)
0.853715 + 0.520741i \(0.174344\pi\)
\(8\) 0.323550 + 2.80986i 0.114392 + 0.993436i
\(9\) 2.86855 + 0.878321i 0.956182 + 0.292774i
\(10\) 2.18873 + 2.02753i 0.692138 + 0.641162i
\(11\) −0.678695 + 0.181856i −0.204634 + 0.0548316i −0.359680 0.933076i \(-0.617114\pi\)
0.155046 + 0.987907i \(0.450447\pi\)
\(12\) −1.51133 3.11703i −0.436284 0.899809i
\(13\) −1.84311 0.493860i −0.511187 0.136972i −0.00599967 0.999982i \(-0.501910\pi\)
−0.505187 + 0.863010i \(0.668576\pi\)
\(14\) −0.152734 + 0.0961430i −0.0408200 + 0.0256953i
\(15\) −3.35069 1.45776i −0.865144 0.376391i
\(16\) −1.44923 + 3.72824i −0.362306 + 0.932059i
\(17\) 4.32243i 1.04834i −0.851612 0.524172i \(-0.824375\pi\)
0.851612 0.524172i \(-0.175625\pi\)
\(18\) 3.00865 + 2.99133i 0.709146 + 0.705062i
\(19\) −3.97707 3.97707i −0.912401 0.912401i 0.0840594 0.996461i \(-0.473211\pi\)
−0.996461 + 0.0840594i \(0.973211\pi\)
\(20\) 1.40005 + 3.98030i 0.313060 + 0.890021i
\(21\) 0.137635 0.172956i 0.0300343 0.0377420i
\(22\) −0.968944 0.220325i −0.206580 0.0469735i
\(23\) 6.81589 3.93516i 1.42121 0.820537i 0.424809 0.905283i \(-0.360341\pi\)
0.996403 + 0.0847463i \(0.0270080\pi\)
\(24\) 0.166142 4.89616i 0.0339136 0.999425i
\(25\) −0.475689 0.274639i −0.0951377 0.0549278i
\(26\) −1.97963 1.83383i −0.388238 0.359644i
\(27\) −4.68856 2.23996i −0.902314 0.431080i
\(28\) −0.254485 + 0.0194880i −0.0480932 + 0.00368288i
\(29\) −0.926957 + 0.248377i −0.172132 + 0.0461225i −0.343855 0.939023i \(-0.611733\pi\)
0.171724 + 0.985145i \(0.445066\pi\)
\(30\) −3.22943 4.03424i −0.589611 0.736548i
\(31\) −4.91353 + 2.83683i −0.882496 + 0.509509i −0.871480 0.490430i \(-0.836840\pi\)
−0.0110152 + 0.999939i \(0.503506\pi\)
\(32\) −4.27267 + 3.70733i −0.755309 + 0.655369i
\(33\) 1.20921 0.137514i 0.210496 0.0239382i
\(34\) 2.85194 5.40679i 0.489103 0.927256i
\(35\) −0.190372 + 0.190372i −0.0321787 + 0.0321787i
\(36\) 1.78974 + 5.72685i 0.298291 + 0.954475i
\(37\) −6.64358 6.64358i −1.09220 1.09220i −0.995294 0.0969037i \(-0.969106\pi\)
−0.0969037 0.995294i \(-0.530894\pi\)
\(38\) −2.35071 7.59884i −0.381336 1.23269i
\(39\) 3.03058 + 1.31849i 0.485281 + 0.211128i
\(40\) −0.874924 + 5.90257i −0.138338 + 0.933278i
\(41\) 4.61325 + 7.99038i 0.720469 + 1.24789i 0.960812 + 0.277200i \(0.0894066\pi\)
−0.240344 + 0.970688i \(0.577260\pi\)
\(42\) 0.286278 0.125533i 0.0441737 0.0193702i
\(43\) 2.91294 + 10.8712i 0.444219 + 1.65785i 0.717991 + 0.696053i \(0.245062\pi\)
−0.273772 + 0.961795i \(0.588271\pi\)
\(44\) −1.06665 0.914906i −0.160803 0.137927i
\(45\) 5.36590 + 3.35613i 0.799902 + 0.500302i
\(46\) 11.1222 0.425234i 1.63988 0.0626973i
\(47\) 5.92267 10.2584i 0.863910 1.49634i −0.00421475 0.999991i \(-0.501342\pi\)
0.868125 0.496345i \(-0.165325\pi\)
\(48\) 3.43830 6.01482i 0.496276 0.868165i
\(49\) 3.49186 + 6.04807i 0.498837 + 0.864011i
\(50\) −0.413816 0.657395i −0.0585224 0.0929698i
\(51\) −1.10816 + 7.40421i −0.155173 + 1.03680i
\(52\) −1.26629 3.60004i −0.175603 0.499236i
\(53\) 0.00259022 0.00259022i 0.000355794 0.000355794i −0.706929 0.707285i \(-0.749920\pi\)
0.707285 + 0.706929i \(0.249920\pi\)
\(54\) −4.38684 5.89539i −0.596973 0.802262i
\(55\) −1.48233 −0.199878
\(56\) −0.331185 0.143532i −0.0442565 0.0191803i
\(57\) 5.79299 + 7.83221i 0.767300 + 1.03740i
\(58\) −1.32338 0.300919i −0.173768 0.0395125i
\(59\) −1.09748 + 4.09587i −0.142880 + 0.533237i 0.856960 + 0.515382i \(0.172350\pi\)
−0.999841 + 0.0178541i \(0.994317\pi\)
\(60\) −1.37780 7.17707i −0.177873 0.926556i
\(61\) −1.19213 4.44908i −0.152636 0.569646i −0.999296 0.0375117i \(-0.988057\pi\)
0.846660 0.532134i \(-0.178610\pi\)
\(62\) −8.01790 + 0.306548i −1.01827 + 0.0389317i
\(63\) −0.280105 + 0.260982i −0.0352900 + 0.0328807i
\(64\) −7.79063 + 1.81826i −0.973829 + 0.227282i
\(65\) −3.48621 2.01276i −0.432411 0.249652i
\(66\) 1.60329 + 0.625822i 0.197351 + 0.0770334i
\(67\) −0.538862 + 2.01106i −0.0658325 + 0.245690i −0.990999 0.133872i \(-0.957259\pi\)
0.925166 + 0.379563i \(0.123925\pi\)
\(68\) 7.13478 4.88146i 0.865220 0.591964i
\(69\) −12.6843 + 4.99340i −1.52701 + 0.601134i
\(70\) −0.363737 + 0.112522i −0.0434749 + 0.0134490i
\(71\) 3.80683i 0.451788i 0.974152 + 0.225894i \(0.0725303\pi\)
−0.974152 + 0.225894i \(0.927470\pi\)
\(72\) −1.53984 + 8.34439i −0.181472 + 0.983396i
\(73\) 1.87674i 0.219656i −0.993951 0.109828i \(-0.964970\pi\)
0.993951 0.109828i \(-0.0350300\pi\)
\(74\) −3.92680 12.6937i −0.456481 1.47561i
\(75\) 0.744431 + 0.592403i 0.0859595 + 0.0684048i
\(76\) 2.07328 11.0561i 0.237822 1.26822i
\(77\) 0.0232076 0.0866118i 0.00264475 0.00987033i
\(78\) 2.92091 + 3.64883i 0.330728 + 0.413149i
\(79\) 3.00919 + 1.73736i 0.338560 + 0.195468i 0.659635 0.751586i \(-0.270711\pi\)
−0.321075 + 0.947054i \(0.604044\pi\)
\(80\) −4.98892 + 6.80604i −0.557778 + 0.760939i
\(81\) 7.45710 + 5.03901i 0.828567 + 0.559890i
\(82\) 0.498509 + 13.0387i 0.0550511 + 1.43989i
\(83\) −0.394284 1.47149i −0.0432783 0.161517i 0.940905 0.338671i \(-0.109977\pi\)
−0.984183 + 0.177155i \(0.943311\pi\)
\(84\) 0.440923 + 0.0318610i 0.0481086 + 0.00347632i
\(85\) 2.36015 8.80821i 0.255994 0.955384i
\(86\) −3.52914 + 15.5204i −0.380556 + 1.67361i
\(87\) 1.65153 0.187816i 0.177062 0.0201360i
\(88\) −0.730581 1.84820i −0.0778802 0.197019i
\(89\) −10.5967 −1.12325 −0.561624 0.827392i \(-0.689823\pi\)
−0.561624 + 0.827392i \(0.689823\pi\)
\(90\) 4.49766 + 7.73848i 0.474095 + 0.815708i
\(91\) 0.172185 0.172185i 0.0180499 0.0180499i
\(92\) 14.1929 + 6.80649i 1.47971 + 0.709626i
\(93\) 9.14402 3.59971i 0.948191 0.373272i
\(94\) 14.1769 8.92407i 1.46224 0.920447i
\(95\) −5.93284 10.2760i −0.608697 1.05429i
\(96\) 8.26943 5.25514i 0.843995 0.536351i
\(97\) 3.31795 5.74685i 0.336886 0.583504i −0.646959 0.762525i \(-0.723960\pi\)
0.983845 + 0.179021i \(0.0572928\pi\)
\(98\) 0.377331 + 9.86925i 0.0381162 + 0.996945i
\(99\) −2.10659 0.0744506i −0.211721 0.00748257i
\(100\) −0.0838795 1.09535i −0.00838795 0.109535i
\(101\) 3.24008 + 12.0922i 0.322400 + 1.20321i 0.916899 + 0.399118i \(0.130684\pi\)
−0.594499 + 0.804096i \(0.702650\pi\)
\(102\) −6.27145 + 8.53051i −0.620966 + 0.844646i
\(103\) −4.21850 7.30665i −0.415661 0.719946i 0.579837 0.814733i \(-0.303116\pi\)
−0.995498 + 0.0947868i \(0.969783\pi\)
\(104\) 0.791339 5.33867i 0.0775972 0.523499i
\(105\) 0.374908 0.277295i 0.0365873 0.0270613i
\(106\) 0.00494904 0.00153099i 0.000480693 0.000148703i
\(107\) 7.25071 + 7.25071i 0.700953 + 0.700953i 0.964615 0.263662i \(-0.0849304\pi\)
−0.263662 + 0.964615i \(0.584930\pi\)
\(108\) −1.59757 10.2688i −0.153726 0.988114i
\(109\) 10.2850 10.2850i 0.985128 0.985128i −0.0147630 0.999891i \(-0.504699\pi\)
0.999891 + 0.0147630i \(0.00469937\pi\)
\(110\) −1.85420 0.978042i −0.176791 0.0932527i
\(111\) 9.67702 + 13.0835i 0.918503 + 1.24183i
\(112\) −0.319566 0.398055i −0.0301961 0.0376127i
\(113\) −18.2964 + 10.5634i −1.72118 + 0.993722i −0.804652 + 0.593747i \(0.797648\pi\)
−0.916526 + 0.399976i \(0.869019\pi\)
\(114\) 2.07856 + 13.6193i 0.194675 + 1.27556i
\(115\) 16.0380 4.29738i 1.49555 0.400732i
\(116\) −1.45682 1.24957i −0.135263 0.116020i
\(117\) −4.85328 3.03550i −0.448685 0.280632i
\(118\) −4.07526 + 4.39926i −0.375158 + 0.404985i
\(119\) 0.477707 + 0.275804i 0.0437913 + 0.0252829i
\(120\) 3.01198 9.88662i 0.274955 0.902521i
\(121\) −9.09872 + 5.25315i −0.827157 + 0.477559i
\(122\) 1.44431 6.35176i 0.130761 0.575061i
\(123\) −5.85384 14.8700i −0.527823 1.34078i
\(124\) −10.2316 4.90675i −0.918823 0.440639i
\(125\) −8.27822 8.27822i −0.740426 0.740426i
\(126\) −0.522570 + 0.141641i −0.0465543 + 0.0126184i
\(127\) 13.1109i 1.16340i 0.813403 + 0.581700i \(0.197612\pi\)
−0.813403 + 0.581700i \(0.802388\pi\)
\(128\) −10.9447 2.86585i −0.967386 0.253308i
\(129\) −2.20269 19.3689i −0.193936 1.70534i
\(130\) −3.03276 4.81789i −0.265990 0.422557i
\(131\) 4.74891 + 1.27247i 0.414914 + 0.111176i 0.460236 0.887797i \(-0.347765\pi\)
−0.0453222 + 0.998972i \(0.514431\pi\)
\(132\) 1.59258 + 1.84067i 0.138616 + 0.160210i
\(133\) 0.693305 0.185770i 0.0601171 0.0161083i
\(134\) −2.00094 + 2.16003i −0.172855 + 0.186598i
\(135\) −8.33122 7.12462i −0.717037 0.613190i
\(136\) 12.1454 1.39852i 1.04146 0.119922i
\(137\) 3.41217 5.91005i 0.291521 0.504930i −0.682648 0.730747i \(-0.739172\pi\)
0.974170 + 0.225817i \(0.0725053\pi\)
\(138\) −19.1610 2.12302i −1.63109 0.180723i
\(139\) 10.3427 + 2.77132i 0.877258 + 0.235061i 0.669224 0.743061i \(-0.266627\pi\)
0.208035 + 0.978121i \(0.433293\pi\)
\(140\) −0.529228 0.0992427i −0.0447279 0.00838754i
\(141\) −12.7753 + 16.0539i −1.07588 + 1.35198i
\(142\) −2.51174 + 4.76184i −0.210781 + 0.399604i
\(143\) 1.34072 0.112117
\(144\) −7.43176 + 9.42173i −0.619313 + 0.785144i
\(145\) −2.02456 −0.168131
\(146\) 1.23827 2.34755i 0.102480 0.194285i
\(147\) −4.43089 11.2554i −0.365453 0.928330i
\(148\) 3.46336 18.4690i 0.284687 1.51814i
\(149\) −0.204036 0.0546714i −0.0167153 0.00447885i 0.250452 0.968129i \(-0.419421\pi\)
−0.267167 + 0.963650i \(0.586088\pi\)
\(150\) 0.540317 + 1.23219i 0.0441167 + 0.100608i
\(151\) 1.14798 1.98835i 0.0934210 0.161810i −0.815528 0.578718i \(-0.803553\pi\)
0.908949 + 0.416908i \(0.136886\pi\)
\(152\) 9.88822 12.4618i 0.802040 1.01078i
\(153\) 3.79649 12.3991i 0.306928 1.00241i
\(154\) 0.0861759 0.0930274i 0.00694425 0.00749636i
\(155\) −11.5617 + 3.09795i −0.928658 + 0.248833i
\(156\) 1.24617 + 6.49141i 0.0997736 + 0.519729i
\(157\) −16.2150 4.34480i −1.29410 0.346753i −0.454883 0.890551i \(-0.650319\pi\)
−0.839216 + 0.543799i \(0.816985\pi\)
\(158\) 2.61779 + 4.15866i 0.208260 + 0.330845i
\(159\) −0.00510103 + 0.00377291i −0.000404538 + 0.000299211i
\(160\) −10.7311 + 5.22176i −0.848367 + 0.412817i
\(161\) 1.00437i 0.0791556i
\(162\) 6.00310 + 11.2233i 0.471648 + 0.881787i
\(163\) 0.490399 + 0.490399i 0.0384110 + 0.0384110i 0.726051 0.687640i \(-0.241353\pi\)
−0.687640 + 0.726051i \(0.741353\pi\)
\(164\) −7.97936 + 16.6386i −0.623084 + 1.29926i
\(165\) 2.53920 + 0.380031i 0.197676 + 0.0295854i
\(166\) 0.477690 2.10078i 0.0370759 0.163052i
\(167\) 9.34175 5.39346i 0.722887 0.417359i −0.0929276 0.995673i \(-0.529622\pi\)
0.815814 + 0.578314i \(0.196289\pi\)
\(168\) 0.530513 + 0.330774i 0.0409300 + 0.0255198i
\(169\) −8.10518 4.67953i −0.623475 0.359963i
\(170\) 8.76388 9.46066i 0.672159 0.725599i
\(171\) −7.91525 14.9015i −0.605294 1.13955i
\(172\) −14.6548 + 17.0854i −1.11742 + 1.30275i
\(173\) 4.61598 1.23685i 0.350946 0.0940358i −0.0790394 0.996871i \(-0.525185\pi\)
0.429986 + 0.902836i \(0.358519\pi\)
\(174\) 2.18976 + 0.854744i 0.166005 + 0.0647980i
\(175\) 0.0607051 0.0350481i 0.00458888 0.00264939i
\(176\) 0.305581 2.79388i 0.0230340 0.210597i
\(177\) 2.93003 6.73474i 0.220235 0.506214i
\(178\) −13.2551 6.99170i −0.993509 0.524050i
\(179\) 3.52882 3.52882i 0.263756 0.263756i −0.562822 0.826578i \(-0.690284\pi\)
0.826578 + 0.562822i \(0.190284\pi\)
\(180\) 0.520121 + 12.6474i 0.0387675 + 0.942678i
\(181\) 7.34860 + 7.34860i 0.546217 + 0.546217i 0.925344 0.379127i \(-0.123776\pi\)
−0.379127 + 0.925344i \(0.623776\pi\)
\(182\) 0.328987 0.101773i 0.0243862 0.00754390i
\(183\) 0.901454 + 7.92677i 0.0666374 + 0.585964i
\(184\) 13.2625 + 17.8785i 0.977726 + 1.31802i
\(185\) −9.91065 17.1658i −0.728646 1.26205i
\(186\) 13.8130 + 1.53047i 1.01282 + 0.112219i
\(187\) 0.786059 + 2.93361i 0.0574824 + 0.214527i
\(188\) 23.6215 1.80889i 1.72278 0.131927i
\(189\) 0.546722 0.375244i 0.0397681 0.0272950i
\(190\) −0.641105 16.7684i −0.0465106 1.21651i
\(191\) −2.58888 + 4.48407i −0.187325 + 0.324456i −0.944357 0.328921i \(-0.893315\pi\)
0.757033 + 0.653377i \(0.226648\pi\)
\(192\) 13.8113 1.11732i 0.996744 0.0806354i
\(193\) 13.2173 + 22.8930i 0.951401 + 1.64787i 0.742398 + 0.669960i \(0.233689\pi\)
0.209003 + 0.977915i \(0.432978\pi\)
\(194\) 7.94207 4.99936i 0.570208 0.358933i
\(195\) 5.45576 + 4.34158i 0.390695 + 0.310907i
\(196\) −6.03973 + 12.5941i −0.431410 + 0.899577i
\(197\) 5.14652 5.14652i 0.366674 0.366674i −0.499588 0.866263i \(-0.666515\pi\)
0.866263 + 0.499588i \(0.166515\pi\)
\(198\) −2.58594 1.48306i −0.183775 0.105396i
\(199\) −1.37436 −0.0974261 −0.0487130 0.998813i \(-0.515512\pi\)
−0.0487130 + 0.998813i \(0.515512\pi\)
\(200\) 0.617788 1.42548i 0.0436842 0.100797i
\(201\) 1.43864 3.30674i 0.101474 0.233240i
\(202\) −3.92549 + 17.2635i −0.276196 + 1.21465i
\(203\) 0.0316967 0.118294i 0.00222468 0.00830260i
\(204\) −13.4732 + 6.53263i −0.943310 + 0.457376i
\(205\) 5.03789 + 18.8017i 0.351861 + 1.31316i
\(206\) −0.455852 11.9230i −0.0317607 0.830715i
\(207\) 23.0080 5.30163i 1.59917 0.368489i
\(208\) 4.51231 6.15583i 0.312872 0.426830i
\(209\) 3.42246 + 1.97596i 0.236737 + 0.136680i
\(210\) 0.651919 0.0994954i 0.0449867 0.00686583i
\(211\) −2.98444 + 11.1381i −0.205457 + 0.766776i 0.783853 + 0.620947i \(0.213252\pi\)
−0.989310 + 0.145829i \(0.953415\pi\)
\(212\) 0.00720073 + 0.00135031i 0.000494548 + 9.27394e-5i
\(213\) 0.975971 6.52100i 0.0668724 0.446811i
\(214\) 4.28566 + 13.8537i 0.292961 + 0.947018i
\(215\) 23.7438i 1.61931i
\(216\) 4.77699 13.8989i 0.325033 0.945703i
\(217\) 0.724045i 0.0491514i
\(218\) 19.6513 6.07914i 1.33095 0.411732i
\(219\) −0.481147 + 3.21481i −0.0325129 + 0.217237i
\(220\) −1.67404 2.44680i −0.112864 0.164963i
\(221\) −2.13468 + 7.96672i −0.143594 + 0.535900i
\(222\) 3.47218 + 22.7506i 0.233037 + 1.52692i
\(223\) −17.9819 10.3819i −1.20416 0.695220i −0.242680 0.970106i \(-0.578026\pi\)
−0.961477 + 0.274886i \(0.911360\pi\)
\(224\) −0.137097 0.708763i −0.00916019 0.0473562i
\(225\) −1.12331 1.20562i −0.0748876 0.0803748i
\(226\) −29.8560 + 1.14149i −1.98599 + 0.0759305i
\(227\) 2.05090 + 7.65406i 0.136123 + 0.508018i 0.999991 + 0.00429906i \(0.00136844\pi\)
−0.863868 + 0.503718i \(0.831965\pi\)
\(228\) −6.38597 + 18.4073i −0.422921 + 1.21905i
\(229\) −0.120227 + 0.448692i −0.00794481 + 0.0296504i −0.969784 0.243963i \(-0.921552\pi\)
0.961840 + 0.273614i \(0.0882190\pi\)
\(230\) 22.8968 + 5.20643i 1.50977 + 0.343302i
\(231\) −0.0619589 + 0.142414i −0.00407659 + 0.00937014i
\(232\) −0.997823 2.52426i −0.0655103 0.165726i
\(233\) 9.13737 0.598609 0.299305 0.954158i \(-0.403245\pi\)
0.299305 + 0.954158i \(0.403245\pi\)
\(234\) −4.06798 6.99919i −0.265932 0.457551i
\(235\) 17.6705 17.6705i 1.15269 1.15269i
\(236\) −8.00023 + 2.81404i −0.520770 + 0.183178i
\(237\) −4.70925 3.74752i −0.305898 0.243428i
\(238\) 0.415572 + 0.660185i 0.0269375 + 0.0427934i
\(239\) −3.65824 6.33626i −0.236632 0.409859i 0.723114 0.690729i \(-0.242710\pi\)
−0.959746 + 0.280870i \(0.909377\pi\)
\(240\) 10.2908 10.3795i 0.664266 0.669996i
\(241\) −1.24858 + 2.16261i −0.0804282 + 0.139306i −0.903434 0.428727i \(-0.858962\pi\)
0.823006 + 0.568033i \(0.192295\pi\)
\(242\) −14.8473 + 0.567657i −0.954421 + 0.0364904i
\(243\) −11.4819 10.5435i −0.736567 0.676365i
\(244\) 5.99752 6.99225i 0.383952 0.447633i
\(245\) 3.81327 + 14.2313i 0.243621 + 0.909206i
\(246\) 2.48885 22.4628i 0.158683 1.43217i
\(247\) 5.36605 + 9.29428i 0.341434 + 0.591381i
\(248\) −9.56086 12.8885i −0.607115 0.818419i
\(249\) 0.298147 + 2.62170i 0.0188943 + 0.166144i
\(250\) −4.89298 15.8169i −0.309459 1.00035i
\(251\) −2.77626 2.77626i −0.175236 0.175236i 0.614039 0.789275i \(-0.289544\pi\)
−0.789275 + 0.614039i \(0.789544\pi\)
\(252\) −0.747120 0.167618i −0.0470641 0.0105589i
\(253\) −3.91028 + 3.91028i −0.245837 + 0.245837i
\(254\) −8.65053 + 16.3999i −0.542783 + 1.02902i
\(255\) −6.30106 + 14.4831i −0.394588 + 0.906969i
\(256\) −11.7995 10.8061i −0.737468 0.675382i
\(257\) −9.61957 + 5.55386i −0.600052 + 0.346440i −0.769062 0.639174i \(-0.779276\pi\)
0.169010 + 0.985614i \(0.445943\pi\)
\(258\) 10.0243 25.6812i 0.624088 1.59884i
\(259\) 1.15815 0.310324i 0.0719637 0.0192826i
\(260\) −0.614733 8.02755i −0.0381241 0.497847i
\(261\) −2.87717 0.101684i −0.178093 0.00629409i
\(262\) 5.10067 + 4.72501i 0.315121 + 0.291912i
\(263\) −16.6320 9.60247i −1.02557 0.592114i −0.109858 0.993947i \(-0.535040\pi\)
−0.915713 + 0.401834i \(0.868373\pi\)
\(264\) 0.777635 + 3.35321i 0.0478601 + 0.206376i
\(265\) 0.00669264 0.00386400i 0.000411125 0.000237363i
\(266\) 0.989802 + 0.225068i 0.0606887 + 0.0137998i
\(267\) 18.1519 + 2.71671i 1.11088 + 0.166260i
\(268\) −3.92809 + 1.38169i −0.239947 + 0.0843999i
\(269\) 7.66476 + 7.66476i 0.467329 + 0.467329i 0.901048 0.433719i \(-0.142799\pi\)
−0.433719 + 0.901048i \(0.642799\pi\)
\(270\) −5.72042 14.4089i −0.348133 0.876897i
\(271\) 12.9801i 0.788486i 0.919006 + 0.394243i \(0.128993\pi\)
−0.919006 + 0.394243i \(0.871007\pi\)
\(272\) 16.1151 + 6.26418i 0.977119 + 0.379822i
\(273\) −0.339091 + 0.250804i −0.0205227 + 0.0151794i
\(274\) 8.16761 5.14133i 0.493423 0.310599i
\(275\) 0.372792 + 0.0998893i 0.0224802 + 0.00602355i
\(276\) −22.5671 15.2980i −1.35838 0.920832i
\(277\) 23.9833 6.42631i 1.44102 0.386119i 0.548127 0.836395i \(-0.315341\pi\)
0.892890 + 0.450276i \(0.148674\pi\)
\(278\) 11.1088 + 10.2907i 0.666264 + 0.617194i
\(279\) −16.5863 + 3.82191i −0.992997 + 0.228812i
\(280\) −0.596513 0.473324i −0.0356485 0.0282865i
\(281\) 3.69120 6.39334i 0.220198 0.381395i −0.734670 0.678425i \(-0.762663\pi\)
0.954868 + 0.297030i \(0.0959962\pi\)
\(282\) −26.5726 + 11.6521i −1.58237 + 0.693872i
\(283\) −5.99708 1.60691i −0.356490 0.0955211i 0.0761294 0.997098i \(-0.475744\pi\)
−0.432619 + 0.901577i \(0.642410\pi\)
\(284\) −6.28371 + 4.29917i −0.372870 + 0.255109i
\(285\) 7.52830 + 19.1235i 0.445938 + 1.13278i
\(286\) 1.67706 + 0.884606i 0.0991667 + 0.0523078i
\(287\) −1.17744 −0.0695022
\(288\) −15.5126 + 6.88185i −0.914088 + 0.405517i
\(289\) −1.68344 −0.0990261
\(290\) −2.53246 1.33580i −0.148711 0.0784411i
\(291\) −7.15689 + 8.99356i −0.419544 + 0.527212i
\(292\) 3.09783 2.11946i 0.181287 0.124032i
\(293\) 24.0140 + 6.43453i 1.40291 + 0.375909i 0.879390 0.476103i \(-0.157951\pi\)
0.523522 + 0.852012i \(0.324618\pi\)
\(294\) 1.88386 17.0025i 0.109869 0.991605i
\(295\) −4.47288 + 7.74726i −0.260421 + 0.451063i
\(296\) 16.5180 20.8171i 0.960089 1.20997i
\(297\) 3.58945 + 0.667607i 0.208281 + 0.0387385i
\(298\) −0.219150 0.203009i −0.0126950 0.0117600i
\(299\) −14.5058 + 3.88683i −0.838895 + 0.224781i
\(300\) −0.137135 + 1.89781i −0.00791750 + 0.109570i
\(301\) −1.38734 0.371735i −0.0799647 0.0214265i
\(302\) 2.74788 1.72973i 0.158123 0.0995347i
\(303\) −2.45006 21.5442i −0.140753 1.23768i
\(304\) 20.5911 9.06377i 1.18098 0.519843i
\(305\) 9.71720i 0.556406i
\(306\) 12.9298 13.0047i 0.739148 0.743429i
\(307\) −17.3773 17.3773i −0.991773 0.991773i 0.00819381 0.999966i \(-0.497392\pi\)
−0.999966 + 0.00819381i \(0.997392\pi\)
\(308\) 0.169174 0.0595060i 0.00963958 0.00339067i
\(309\) 5.35294 + 13.5976i 0.304518 + 0.773541i
\(310\) −16.5062 3.75328i −0.937487 0.213172i
\(311\) −11.9437 + 6.89568i −0.677264 + 0.391018i −0.798823 0.601566i \(-0.794544\pi\)
0.121560 + 0.992584i \(0.461210\pi\)
\(312\) −2.72423 + 8.94211i −0.154229 + 0.506247i
\(313\) 17.6368 + 10.1826i 0.996890 + 0.575555i 0.907327 0.420426i \(-0.138119\pi\)
0.0895635 + 0.995981i \(0.471453\pi\)
\(314\) −17.4161 16.1334i −0.982848 0.910461i
\(315\) −0.713298 + 0.378883i −0.0401898 + 0.0213476i
\(316\) 0.530619 + 6.92914i 0.0298497 + 0.389795i
\(317\) 20.3136 5.44301i 1.14092 0.305710i 0.361601 0.932333i \(-0.382230\pi\)
0.779322 + 0.626623i \(0.215563\pi\)
\(318\) −0.00887007 + 0.00135374i −0.000497409 + 7.59142e-5i
\(319\) 0.583952 0.337145i 0.0326950 0.0188765i
\(320\) −16.8685 0.548641i −0.942976 0.0306700i
\(321\) −10.5614 14.2792i −0.589479 0.796985i
\(322\) −0.662684 + 1.25633i −0.0369299 + 0.0700128i
\(323\) −17.1906 + 17.1906i −0.956511 + 0.956511i
\(324\) 0.103945 + 17.9997i 0.00577473 + 0.999983i
\(325\) 0.741113 + 0.741113i 0.0411096 + 0.0411096i
\(326\) 0.289859 + 0.936989i 0.0160538 + 0.0518950i
\(327\) −20.2548 + 14.9812i −1.12009 + 0.828461i
\(328\) −20.9592 + 15.5479i −1.15728 + 0.858488i
\(329\) 0.755823 + 1.30912i 0.0416699 + 0.0721743i
\(330\) 2.92545 + 2.15073i 0.161041 + 0.118394i
\(331\) −4.57199 17.0629i −0.251299 0.937862i −0.970112 0.242658i \(-0.921981\pi\)
0.718813 0.695204i \(-0.244686\pi\)
\(332\) 1.98362 2.31262i 0.108865 0.126921i
\(333\) −13.2222 24.8926i −0.724573 1.36411i
\(334\) 15.2439 0.582819i 0.834108 0.0318904i
\(335\) −2.19618 + 3.80389i −0.119990 + 0.207829i
\(336\) 0.445356 + 0.763786i 0.0242962 + 0.0416679i
\(337\) −4.82538 8.35780i −0.262855 0.455279i 0.704144 0.710057i \(-0.251331\pi\)
−0.966999 + 0.254778i \(0.917997\pi\)
\(338\) −7.05094 11.2012i −0.383521 0.609267i
\(339\) 34.0493 13.4041i 1.84931 0.728012i
\(340\) 17.2046 6.05161i 0.933049 0.328195i
\(341\) 2.81889 2.81889i 0.152652 0.152652i
\(342\) −0.0688997 23.8623i −0.00372567 1.29032i
\(343\) −1.78454 −0.0963558
\(344\) −29.6042 + 11.7023i −1.59615 + 0.630948i
\(345\) −28.5744 + 3.24956i −1.53840 + 0.174950i
\(346\) 6.59004 + 1.49849i 0.354283 + 0.0805592i
\(347\) 4.93125 18.4037i 0.264723 0.987960i −0.697696 0.716393i \(-0.745792\pi\)
0.962420 0.271567i \(-0.0875418\pi\)
\(348\) 2.17514 + 2.51397i 0.116600 + 0.134763i
\(349\) 4.68226 + 17.4744i 0.250636 + 0.935385i 0.970467 + 0.241236i \(0.0775527\pi\)
−0.719831 + 0.694150i \(0.755781\pi\)
\(350\) 0.0990587 0.00378731i 0.00529491 0.000202440i
\(351\) 7.53530 + 6.44398i 0.402205 + 0.343954i
\(352\) 2.22564 3.29315i 0.118627 0.175526i
\(353\) 5.65589 + 3.26543i 0.301033 + 0.173801i 0.642907 0.765944i \(-0.277728\pi\)
−0.341874 + 0.939746i \(0.611062\pi\)
\(354\) 8.10865 6.49102i 0.430970 0.344994i
\(355\) −2.07862 + 7.75752i −0.110322 + 0.411726i
\(356\) −11.9672 17.4914i −0.634259 0.927040i
\(357\) −0.747590 0.594916i −0.0395667 0.0314863i
\(358\) 6.74239 2.08577i 0.356346 0.110236i
\(359\) 22.8075i 1.20373i −0.798597 0.601866i \(-0.794424\pi\)
0.798597 0.601866i \(-0.205576\pi\)
\(360\) −7.69411 + 16.1633i −0.405515 + 0.851881i
\(361\) 12.6341i 0.664952i
\(362\) 4.34351 + 14.0407i 0.228290 + 0.737963i
\(363\) 16.9326 6.66583i 0.888732 0.349865i
\(364\) 0.478669 + 0.0897616i 0.0250891 + 0.00470479i
\(365\) 1.02475 3.82440i 0.0536377 0.200178i
\(366\) −4.10248 + 10.5101i −0.214440 + 0.549372i
\(367\) −20.7702 11.9917i −1.08419 0.625959i −0.152169 0.988355i \(-0.548626\pi\)
−0.932025 + 0.362395i \(0.881959\pi\)
\(368\) 4.79343 + 31.1142i 0.249875 + 1.62194i
\(369\) 6.21519 + 26.9727i 0.323550 + 1.40414i
\(370\) −1.07095 28.0111i −0.0556759 1.45623i
\(371\) 0.000120990 0 0.000451542i 6.28150e−6 0 2.34429e-5i
\(372\) 16.2684 + 11.0282i 0.843479 + 0.571787i
\(373\) 6.20866 23.1710i 0.321472 1.19975i −0.596338 0.802733i \(-0.703378\pi\)
0.917811 0.397018i \(-0.129955\pi\)
\(374\) −0.952341 + 4.18820i −0.0492444 + 0.216567i
\(375\) 12.0580 + 16.3027i 0.622674 + 0.841866i
\(376\) 30.7409 + 13.3228i 1.58534 + 0.687070i
\(377\) 1.83115 0.0943089
\(378\) 0.931461 0.108653i 0.0479092 0.00558853i
\(379\) 9.96634 9.96634i 0.511936 0.511936i −0.403183 0.915119i \(-0.632096\pi\)
0.915119 + 0.403183i \(0.132096\pi\)
\(380\) 10.2618 21.3980i 0.526420 1.09769i
\(381\) 3.36128 22.4585i 0.172203 1.15059i
\(382\) −6.19692 + 3.90083i −0.317062 + 0.199584i
\(383\) 2.30770 + 3.99705i 0.117918 + 0.204240i 0.918942 0.394392i \(-0.129045\pi\)
−0.801024 + 0.598632i \(0.795711\pi\)
\(384\) 18.0133 + 7.71506i 0.919236 + 0.393708i
\(385\) 0.0945842 0.163825i 0.00482046 0.00834927i
\(386\) 1.42826 + 37.3568i 0.0726967 + 1.90141i
\(387\) −1.19254 + 33.7431i −0.0606202 + 1.71526i
\(388\) 13.2330 1.01336i 0.671806 0.0514455i
\(389\) −3.31091 12.3565i −0.167870 0.626498i −0.997657 0.0684178i \(-0.978205\pi\)
0.829787 0.558080i \(-0.188462\pi\)
\(390\) 3.95985 + 9.03043i 0.200515 + 0.457274i
\(391\) −17.0095 29.4612i −0.860205 1.48992i
\(392\) −15.8645 + 11.7685i −0.801276 + 0.594398i
\(393\) −7.80852 3.39719i −0.393887 0.171366i
\(394\) 9.83328 3.04194i 0.495393 0.153251i
\(395\) 5.18345 + 5.18345i 0.260808 + 0.260808i
\(396\) −2.25615 3.56131i −0.113376 0.178962i
\(397\) −3.70313 + 3.70313i −0.185855 + 0.185855i −0.793901 0.608047i \(-0.791953\pi\)
0.608047 + 0.793901i \(0.291953\pi\)
\(398\) −1.71915 0.906804i −0.0861730 0.0454540i
\(399\) −1.23524 + 0.140475i −0.0618392 + 0.00703252i
\(400\) 1.71330 1.37547i 0.0856650 0.0687733i
\(401\) 11.5871 6.68983i 0.578633 0.334074i −0.181957 0.983307i \(-0.558243\pi\)
0.760590 + 0.649232i \(0.224910\pi\)
\(402\) 3.98133 3.18708i 0.198571 0.158957i
\(403\) 10.4572 2.80199i 0.520908 0.139577i
\(404\) −16.3007 + 19.0043i −0.810989 + 0.945497i
\(405\) 12.4446 + 14.3402i 0.618376 + 0.712570i
\(406\) 0.117699 0.127056i 0.00584128 0.00630570i
\(407\) 5.71713 + 3.30079i 0.283388 + 0.163614i
\(408\) −21.1633 0.718138i −1.04774 0.0355531i
\(409\) 24.1053 13.9172i 1.19193 0.688161i 0.233185 0.972432i \(-0.425085\pi\)
0.958744 + 0.284272i \(0.0917518\pi\)
\(410\) −6.10359 + 26.8423i −0.301435 + 1.32565i
\(411\) −7.36013 + 9.24896i −0.363048 + 0.456217i
\(412\) 7.29658 15.2148i 0.359477 0.749582i
\(413\) −0.382639 0.382639i −0.0188285 0.0188285i
\(414\) 32.2780 + 8.54904i 1.58638 + 0.420162i
\(415\) 3.21387i 0.157763i
\(416\) 9.70590 4.72290i 0.475871 0.231559i
\(417\) −17.0063 7.39880i −0.832802 0.362321i
\(418\) 2.97731 + 4.72980i 0.145625 + 0.231342i
\(419\) 9.97902 + 2.67387i 0.487507 + 0.130627i 0.494196 0.869350i \(-0.335462\pi\)
−0.00668892 + 0.999978i \(0.502129\pi\)
\(420\) 0.881110 + 0.305680i 0.0429938 + 0.0149157i
\(421\) −29.8528 + 7.99904i −1.45494 + 0.389849i −0.897738 0.440529i \(-0.854791\pi\)
−0.557199 + 0.830379i \(0.688124\pi\)
\(422\) −11.0820 + 11.9631i −0.539464 + 0.582354i
\(423\) 25.9996 24.2246i 1.26414 1.17784i
\(424\) 0.00811622 + 0.00644009i 0.000394158 + 0.000312758i
\(425\) −1.18711 + 2.05613i −0.0575833 + 0.0997371i
\(426\) 5.52336 7.51295i 0.267608 0.364004i
\(427\) 0.567770 + 0.152134i 0.0274763 + 0.00736226i
\(428\) −3.77987 + 20.1568i −0.182707 + 0.974314i
\(429\) −2.29662 0.343725i −0.110882 0.0165952i
\(430\) −15.6661 + 29.7003i −0.755488 + 1.43228i
\(431\) 14.8449 0.715053 0.357526 0.933903i \(-0.383620\pi\)
0.357526 + 0.933903i \(0.383620\pi\)
\(432\) 15.1459 14.2338i 0.728706 0.684826i
\(433\) −32.1617 −1.54559 −0.772796 0.634654i \(-0.781143\pi\)
−0.772796 + 0.634654i \(0.781143\pi\)
\(434\) 0.477724 0.905683i 0.0229315 0.0434742i
\(435\) 3.46802 + 0.519044i 0.166279 + 0.0248863i
\(436\) 28.5921 + 5.36169i 1.36931 + 0.256778i
\(437\) −42.7576 11.4569i −2.04537 0.548056i
\(438\) −2.72298 + 3.70383i −0.130109 + 0.176976i
\(439\) −0.140035 + 0.242548i −0.00668352 + 0.0115762i −0.869348 0.494201i \(-0.835461\pi\)
0.862664 + 0.505777i \(0.168794\pi\)
\(440\) −0.479609 4.16515i −0.0228644 0.198566i
\(441\) 4.70440 + 20.4161i 0.224019 + 0.972197i
\(442\) −7.92663 + 8.55684i −0.377031 + 0.407007i
\(443\) −24.2588 + 6.50011i −1.15257 + 0.308830i −0.783994 0.620768i \(-0.786821\pi\)
−0.368574 + 0.929598i \(0.620154\pi\)
\(444\) −10.6676 + 30.7489i −0.506261 + 1.45928i
\(445\) −21.5938 5.78605i −1.02365 0.274285i
\(446\) −15.6430 24.8507i −0.740717 1.17672i
\(447\) 0.335492 + 0.145960i 0.0158682 + 0.00690367i
\(448\) 0.296151 0.977024i 0.0139918 0.0461601i
\(449\) 14.2885i 0.674318i −0.941448 0.337159i \(-0.890534\pi\)
0.941448 0.337159i \(-0.109466\pi\)
\(450\) −0.609646 2.24923i −0.0287390 0.106030i
\(451\) −4.58408 4.58408i −0.215856 0.215856i
\(452\) −38.0990 18.2711i −1.79203 0.859402i
\(453\) −2.47621 + 3.11168i −0.116343 + 0.146200i
\(454\) −2.48474 + 10.9274i −0.116615 + 0.512847i
\(455\) 0.444893 0.256859i 0.0208569 0.0120417i
\(456\) −20.1331 + 18.8116i −0.942819 + 0.880934i
\(457\) −24.1097 13.9198i −1.12781 0.651139i −0.184424 0.982847i \(-0.559042\pi\)
−0.943382 + 0.331708i \(0.892375\pi\)
\(458\) −0.446434 + 0.481928i −0.0208605 + 0.0225190i
\(459\) −9.68207 + 20.2660i −0.451921 + 0.945935i
\(460\) 25.2057 + 21.6199i 1.17522 + 1.00803i
\(461\) 16.1887 4.33776i 0.753985 0.202030i 0.138700 0.990334i \(-0.455708\pi\)
0.615285 + 0.788305i \(0.289041\pi\)
\(462\) −0.171467 + 0.137260i −0.00797735 + 0.00638592i
\(463\) 26.1951 15.1238i 1.21739 0.702861i 0.253032 0.967458i \(-0.418572\pi\)
0.964359 + 0.264597i \(0.0852389\pi\)
\(464\) 0.417361 3.81587i 0.0193755 0.177147i
\(465\) 20.5991 2.34259i 0.955261 0.108635i
\(466\) 11.4296 + 6.02883i 0.529467 + 0.279280i
\(467\) 15.9369 15.9369i 0.737469 0.737469i −0.234618 0.972088i \(-0.575384\pi\)
0.972088 + 0.234618i \(0.0753840\pi\)
\(468\) −0.470432 11.4391i −0.0217457 0.528772i
\(469\) −0.187875 0.187875i −0.00867527 0.00867527i
\(470\) 33.7623 10.4444i 1.55734 0.481765i
\(471\) 26.6620 + 11.5996i 1.22852 + 0.534482i
\(472\) −11.8639 1.75856i −0.546081 0.0809443i
\(473\) −3.95399 6.84851i −0.181805 0.314895i
\(474\) −3.41802 7.79480i −0.156995 0.358027i
\(475\) 0.799588 + 2.98410i 0.0366876 + 0.136920i
\(476\) 0.0842354 + 1.10000i 0.00386092 + 0.0504183i
\(477\) 0.00970520 0.00515511i 0.000444371 0.000236036i
\(478\) −0.395311 10.3395i −0.0180811 0.472919i
\(479\) −14.8100 + 25.6516i −0.676684 + 1.17205i 0.299289 + 0.954163i \(0.403251\pi\)
−0.975973 + 0.217889i \(0.930083\pi\)
\(480\) 19.7208 6.19356i 0.900126 0.282696i
\(481\) 8.96385 + 15.5258i 0.408716 + 0.707917i
\(482\) −2.98869 + 1.88132i −0.136131 + 0.0856916i
\(483\) 0.257494 1.72046i 0.0117164 0.0782837i
\(484\) −18.9465 9.08618i −0.861206 0.413008i
\(485\) 9.89919 9.89919i 0.449499 0.449499i
\(486\) −7.40579 20.7643i −0.335933 0.941886i
\(487\) 25.6320 1.16150 0.580749 0.814083i \(-0.302760\pi\)
0.580749 + 0.814083i \(0.302760\pi\)
\(488\) 12.1156 4.78921i 0.548446 0.216797i
\(489\) −0.714315 0.965765i −0.0323024 0.0436734i
\(490\) −4.61993 + 20.3175i −0.208707 + 0.917850i
\(491\) −1.40692 + 5.25069i −0.0634933 + 0.236960i −0.990379 0.138385i \(-0.955809\pi\)
0.926885 + 0.375345i \(0.122476\pi\)
\(492\) 17.9341 26.4558i 0.808533 1.19272i
\(493\) 1.07360 + 4.00671i 0.0483523 + 0.180453i
\(494\) 0.579857 + 15.1664i 0.0260890 + 0.682369i
\(495\) −4.25214 1.30196i −0.191119 0.0585190i
\(496\) −3.45555 22.4300i −0.155159 1.00714i
\(497\) −0.420724 0.242905i −0.0188720 0.0108958i
\(498\) −1.35685 + 3.47611i −0.0608021 + 0.155768i
\(499\) 5.78179 21.5779i 0.258829 0.965961i −0.707092 0.707122i \(-0.749993\pi\)
0.965920 0.258840i \(-0.0833401\pi\)
\(500\) 4.31551 23.0132i 0.192996 1.02918i
\(501\) −17.3849 + 6.84387i −0.776700 + 0.305762i
\(502\) −1.64096 5.30451i −0.0732395 0.236752i
\(503\) 24.7337i 1.10282i −0.834235 0.551410i \(-0.814090\pi\)
0.834235 0.551410i \(-0.185910\pi\)
\(504\) −0.823952 0.702616i −0.0367018 0.0312970i
\(505\) 26.4104i 1.17525i
\(506\) −7.47123 + 2.31124i −0.332137 + 0.102747i
\(507\) 12.6842 + 10.0938i 0.563327 + 0.448284i
\(508\) −21.6413 + 14.8065i −0.960178 + 0.656932i
\(509\) −2.31048 + 8.62284i −0.102410 + 0.382201i −0.998039 0.0626029i \(-0.980060\pi\)
0.895628 + 0.444804i \(0.146726\pi\)
\(510\) −17.4377 + 13.9590i −0.772156 + 0.618116i
\(511\) 0.207414 + 0.119751i 0.00917545 + 0.00529745i
\(512\) −7.62971 21.3023i −0.337189 0.941437i
\(513\) 9.73824 + 27.5552i 0.429954 + 1.21659i
\(514\) −15.6972 + 0.600152i −0.692375 + 0.0264716i
\(515\) −4.60680 17.1928i −0.203000 0.757606i
\(516\) 29.4836 25.5097i 1.29794 1.12300i
\(517\) −2.15414 + 8.03937i −0.0947391 + 0.353571i
\(518\) 1.65344 + 0.375970i 0.0726479 + 0.0165192i
\(519\) −8.22413 + 0.935271i −0.360999 + 0.0410538i
\(520\) 4.52762 10.4470i 0.198549 0.458131i
\(521\) 14.1129 0.618299 0.309149 0.951013i \(-0.399956\pi\)
0.309149 + 0.951013i \(0.399956\pi\)
\(522\) −3.53187 2.02555i −0.154586 0.0886559i
\(523\) −27.5776 + 27.5776i −1.20588 + 1.20588i −0.233534 + 0.972349i \(0.575029\pi\)
−0.972349 + 0.233534i \(0.924971\pi\)
\(524\) 3.26270 + 9.27577i 0.142532 + 0.405214i
\(525\) −0.112972 + 0.0444733i −0.00493048 + 0.00194097i
\(526\) −14.4687 22.9852i −0.630863 1.00220i
\(527\) 12.2620 + 21.2384i 0.534141 + 0.925159i
\(528\) −1.23973 + 4.70750i −0.0539523 + 0.204868i
\(529\) 19.4709 33.7246i 0.846561 1.46629i
\(530\) 0.0109211 0.000417544i 0.000474380 1.81370e-5i
\(531\) −6.74567 + 10.7852i −0.292737 + 0.468039i
\(532\) 1.08961 + 0.934600i 0.0472406 + 0.0405201i
\(533\) −4.55660 17.0054i −0.197368 0.736588i
\(534\) 20.9131 + 15.3748i 0.904997 + 0.665334i
\(535\) 10.8164 + 18.7345i 0.467632 + 0.809962i
\(536\) −5.82515 0.863450i −0.251608 0.0372953i
\(537\) −6.94946 + 5.14007i −0.299891 + 0.221810i
\(538\) 4.53038 + 14.6448i 0.195319 + 0.631381i
\(539\) −3.46978 3.46978i −0.149454 0.149454i
\(540\) 2.35149 21.7979i 0.101192 0.938032i
\(541\) 7.82995 7.82995i 0.336636 0.336636i −0.518464 0.855100i \(-0.673496\pi\)
0.855100 + 0.518464i \(0.173496\pi\)
\(542\) −8.56427 + 16.2364i −0.367867 + 0.697412i
\(543\) −10.7040 14.4719i −0.459351 0.621050i
\(544\) 16.0247 + 18.4684i 0.687052 + 0.791824i
\(545\) 26.5746 15.3429i 1.13833 0.657216i
\(546\) −0.589638 + 0.0899901i −0.0252342 + 0.00385122i
\(547\) −21.7416 + 5.82566i −0.929606 + 0.249087i −0.691686 0.722198i \(-0.743132\pi\)
−0.237919 + 0.971285i \(0.576465\pi\)
\(548\) 13.6088 1.04214i 0.581340 0.0445178i
\(549\) 0.488049 13.8094i 0.0208294 0.589373i
\(550\) 0.400406 + 0.370916i 0.0170734 + 0.0158159i
\(551\) 4.67438 + 2.69876i 0.199135 + 0.114971i
\(552\) −18.1348 34.0255i −0.771866 1.44822i
\(553\) −0.384019 + 0.221713i −0.0163301 + 0.00942821i
\(554\) 34.2400 + 7.78571i 1.45472 + 0.330783i
\(555\) 12.5758 + 31.9453i 0.533814 + 1.35600i
\(556\) 7.10589 + 20.2019i 0.301357 + 0.856750i
\(557\) −25.5918 25.5918i −1.08436 1.08436i −0.996097 0.0882628i \(-0.971868\pi\)
−0.0882628 0.996097i \(-0.528132\pi\)
\(558\) −23.2690 6.16294i −0.985053 0.260898i
\(559\) 21.4755i 0.908315i
\(560\) −0.433859 0.985643i −0.0183339 0.0416510i
\(561\) −0.594397 5.22672i −0.0250955 0.220672i
\(562\) 8.83552 5.56176i 0.372704 0.234609i
\(563\) 11.3728 + 3.04735i 0.479308 + 0.128430i 0.490381 0.871508i \(-0.336858\pi\)
−0.0110721 + 0.999939i \(0.503524\pi\)
\(564\) −40.9268 2.95736i −1.72333 0.124527i
\(565\) −43.0520 + 11.5357i −1.81121 + 0.485313i
\(566\) −6.44131 5.96690i −0.270748 0.250808i
\(567\) −1.03272 + 0.502617i −0.0433702 + 0.0211079i
\(568\) −10.6967 + 1.23170i −0.448822 + 0.0516810i
\(569\) 0.819418 1.41927i 0.0343518 0.0594990i −0.848338 0.529454i \(-0.822397\pi\)
0.882690 + 0.469955i \(0.155730\pi\)
\(570\) −3.20077 + 28.8881i −0.134066 + 1.20999i
\(571\) −32.7015 8.76233i −1.36851 0.366692i −0.501578 0.865112i \(-0.667247\pi\)
−0.866936 + 0.498420i \(0.833914\pi\)
\(572\) 1.51412 + 2.21305i 0.0633083 + 0.0925321i
\(573\) 5.58427 7.01737i 0.233286 0.293155i
\(574\) −1.47282 0.776875i −0.0614744 0.0324261i
\(575\) −4.32299 −0.180281
\(576\) −23.9448 1.62692i −0.997700 0.0677881i
\(577\) −16.0429 −0.667873 −0.333936 0.942596i \(-0.608377\pi\)
−0.333936 + 0.942596i \(0.608377\pi\)
\(578\) −2.10576 1.11073i −0.0875882 0.0462005i
\(579\) −16.7717 42.6036i −0.697007 1.77055i
\(580\) −2.28640 3.34182i −0.0949376 0.138762i
\(581\) 0.187784 + 0.0503166i 0.00779060 + 0.00208749i
\(582\) −14.8862 + 6.52763i −0.617055 + 0.270579i
\(583\) −0.00128692 + 0.00222901i −5.32988e−5 + 9.23163e-5i
\(584\) 5.27339 0.607220i 0.218214 0.0251269i
\(585\) −8.23249 8.83571i −0.340372 0.365312i
\(586\) 25.7928 + 23.8931i 1.06549 + 0.987016i
\(587\) 36.9837 9.90974i 1.52648 0.409019i 0.604611 0.796521i \(-0.293329\pi\)
0.921869 + 0.387502i \(0.126662\pi\)
\(588\) 13.5747 20.0249i 0.559810 0.825812i
\(589\) 30.8237 + 8.25918i 1.27007 + 0.340313i
\(590\) −10.7066 + 6.73958i −0.440784 + 0.277464i
\(591\) −10.1353 + 7.49641i −0.416910 + 0.308361i
\(592\) 34.3969 15.1408i 1.41370 0.622282i
\(593\) 32.2597i 1.32475i 0.749173 + 0.662374i \(0.230451\pi\)
−0.749173 + 0.662374i \(0.769549\pi\)
\(594\) 4.04943 + 3.20340i 0.166150 + 0.131437i
\(595\) 0.822870 + 0.822870i 0.0337344 + 0.0337344i
\(596\) −0.140182 0.398533i −0.00574206 0.0163245i
\(597\) 2.35425 + 0.352351i 0.0963529 + 0.0144207i
\(598\) −20.7094 4.70904i −0.846870 0.192567i
\(599\) 11.7417 6.77905i 0.479751 0.276984i −0.240562 0.970634i \(-0.577332\pi\)
0.720313 + 0.693649i \(0.243998\pi\)
\(600\) −1.42371 + 2.28342i −0.0581227 + 0.0932202i
\(601\) −0.496416 0.286606i −0.0202492 0.0116909i 0.489841 0.871812i \(-0.337055\pi\)
−0.510090 + 0.860121i \(0.670388\pi\)
\(602\) −1.49010 1.38035i −0.0607319 0.0562590i
\(603\) −3.31211 + 5.29553i −0.134880 + 0.215651i
\(604\) 4.57850 0.350612i 0.186297 0.0142662i
\(605\) −21.4096 + 5.73669i −0.870425 + 0.233230i
\(606\) 11.1501 28.5655i 0.452944 1.16039i
\(607\) 29.1103 16.8068i 1.18155 0.682168i 0.225178 0.974318i \(-0.427704\pi\)
0.956373 + 0.292149i \(0.0943705\pi\)
\(608\) 31.7370 + 2.24843i 1.28710 + 0.0911858i
\(609\) −0.0846230 + 0.194508i −0.00342910 + 0.00788185i
\(610\) 6.41140 12.1549i 0.259590 0.492138i
\(611\) −15.9823 + 15.9823i −0.646576 + 0.646576i
\(612\) 24.7539 7.73605i 1.00062 0.312711i
\(613\) 26.5621 + 26.5621i 1.07283 + 1.07283i 0.997130 + 0.0757042i \(0.0241205\pi\)
0.0757042 + 0.997130i \(0.475880\pi\)
\(614\) −10.2711 33.2021i −0.414509 1.33993i
\(615\) −3.80951 33.4983i −0.153614 1.35078i
\(616\) 0.250876 + 0.0371868i 0.0101081 + 0.00149830i
\(617\) 11.8730 + 20.5647i 0.477991 + 0.827904i 0.999682 0.0252305i \(-0.00803196\pi\)
−0.521691 + 0.853134i \(0.674699\pi\)
\(618\) −2.27588 + 20.5406i −0.0915493 + 0.826266i
\(619\) 4.60330 + 17.1798i 0.185022 + 0.690513i 0.994626 + 0.103535i \(0.0330155\pi\)
−0.809603 + 0.586977i \(0.800318\pi\)
\(620\) −18.1706 15.5856i −0.729748 0.625933i
\(621\) −40.7713 + 3.18290i −1.63610 + 0.127725i
\(622\) −19.4897 + 0.745149i −0.781466 + 0.0298778i
\(623\) 0.676151 1.17113i 0.0270894 0.0469202i
\(624\) −9.30765 + 9.38793i −0.372604 + 0.375818i
\(625\) −10.9760 19.0109i −0.439038 0.760436i
\(626\) 15.3428 + 24.3738i 0.613221 + 0.974173i
\(627\) −5.35600 4.26219i −0.213898 0.170216i
\(628\) −11.1404 31.6719i −0.444550 1.26384i
\(629\) −28.7164 + 28.7164i −1.14500 + 1.14500i
\(630\) −1.14223 + 0.00329805i −0.0455074 + 0.000131398i
\(631\) 16.0572 0.639228 0.319614 0.947548i \(-0.396447\pi\)
0.319614 + 0.947548i \(0.396447\pi\)
\(632\) −3.90811 + 9.01753i −0.155456 + 0.358698i
\(633\) 7.96776 18.3141i 0.316690 0.727919i
\(634\) 29.0008 + 6.59441i 1.15177 + 0.261897i
\(635\) −7.15884 + 26.7172i −0.284090 + 1.06024i
\(636\) −0.0119885 0.00415911i −0.000475374 0.000164920i
\(637\) −3.44897 12.8717i −0.136653 0.509997i
\(638\) 0.952893 0.0364320i 0.0377254 0.00144235i
\(639\) −3.34362 + 10.9201i −0.132272 + 0.431991i
\(640\) −20.7382 11.8161i −0.819749 0.467071i
\(641\) 35.3930 + 20.4342i 1.39794 + 0.807102i 0.994177 0.107761i \(-0.0343683\pi\)
0.403764 + 0.914863i \(0.367702\pi\)
\(642\) −3.78949 24.8297i −0.149559 0.979950i
\(643\) −8.91467 + 33.2700i −0.351560 + 1.31204i 0.533198 + 0.845991i \(0.320990\pi\)
−0.884758 + 0.466050i \(0.845677\pi\)
\(644\) −1.65786 + 1.13427i −0.0653287 + 0.0446964i
\(645\) 6.08728 40.6725i 0.239686 1.60148i
\(646\) −32.8455 + 10.1608i −1.29229 + 0.399771i
\(647\) 28.1696i 1.10746i 0.832696 + 0.553730i \(0.186796\pi\)
−0.832696 + 0.553730i \(0.813204\pi\)
\(648\) −11.7462 + 22.5838i −0.461433 + 0.887175i
\(649\) 2.97943i 0.116953i
\(650\) 0.438047 + 1.41602i 0.0171816 + 0.0555408i
\(651\) −0.185626 + 1.24027i −0.00727525 + 0.0486099i
\(652\) −0.255650 + 1.36330i −0.0100120 + 0.0533908i
\(653\) 2.17456 8.11558i 0.0850972 0.317587i −0.910235 0.414091i \(-0.864099\pi\)
0.995333 + 0.0965042i \(0.0307661\pi\)
\(654\) −35.2206 + 5.37534i −1.37723 + 0.210192i
\(655\) 8.98247 + 5.18603i 0.350974 + 0.202635i
\(656\) −36.4757 + 5.61941i −1.42414 + 0.219401i
\(657\) 1.64838 5.38352i 0.0643096 0.210031i
\(658\) 0.0816744 + 2.13623i 0.00318400 + 0.0832789i
\(659\) −6.62788 24.7356i −0.258186 0.963562i −0.966290 0.257455i \(-0.917116\pi\)
0.708105 0.706107i \(-0.249550\pi\)
\(660\) 2.24030 + 4.62048i 0.0872034 + 0.179852i
\(661\) −5.44473 + 20.3200i −0.211775 + 0.790357i 0.775501 + 0.631346i \(0.217497\pi\)
−0.987277 + 0.159011i \(0.949170\pi\)
\(662\) 5.53914 24.3600i 0.215285 0.946778i
\(663\) 5.69910 13.0995i 0.221335 0.508742i
\(664\) 4.00710 1.58398i 0.155506 0.0614704i
\(665\) 1.51424 0.0587198
\(666\) −0.115095 39.8613i −0.00445984 1.54459i
\(667\) −5.34063 + 5.34063i −0.206790 + 0.206790i
\(668\) 19.4526 + 9.32887i 0.752644 + 0.360945i
\(669\) 28.1408 + 22.3939i 1.08799 + 0.865798i
\(670\) −5.25692 + 3.30912i −0.203093 + 0.127842i
\(671\) 1.61818 + 2.80277i 0.0624691 + 0.108200i
\(672\) 0.0531355 + 1.24924i 0.00204975 + 0.0481905i
\(673\) −12.5221 + 21.6890i −0.482693 + 0.836048i −0.999803 0.0198709i \(-0.993674\pi\)
0.517110 + 0.855919i \(0.327008\pi\)
\(674\) −0.521432 13.6383i −0.0200848 0.525327i
\(675\) 1.61511 + 2.35318i 0.0621658 + 0.0905741i
\(676\) −1.42921 18.6635i −0.0549696 0.717825i
\(677\) −4.91241 18.3334i −0.188799 0.704608i −0.993785 0.111314i \(-0.964494\pi\)
0.804986 0.593294i \(-0.202173\pi\)
\(678\) 51.4352 + 5.69896i 1.97536 + 0.218867i
\(679\) 0.423420 + 0.733386i 0.0162494 + 0.0281448i
\(680\) 25.5135 + 3.78180i 0.978396 + 0.145026i
\(681\) −1.55083 13.6370i −0.0594281 0.522570i
\(682\) 5.38596 1.66615i 0.206239 0.0638003i
\(683\) 3.70253 + 3.70253i 0.141673 + 0.141673i 0.774386 0.632713i \(-0.218059\pi\)
−0.632713 + 0.774386i \(0.718059\pi\)
\(684\) 15.6581 29.8940i 0.598704 1.14303i
\(685\) 10.1803 10.1803i 0.388969 0.388969i
\(686\) −2.23221 1.17743i −0.0852263 0.0449547i
\(687\) 0.320978 0.737774i 0.0122461 0.0281478i
\(688\) −44.7520 4.89475i −1.70616 0.186611i
\(689\) −0.00605326 + 0.00349485i −0.000230611 + 0.000133143i
\(690\) −37.8868 14.7886i −1.44233 0.562993i
\(691\) 8.18783 2.19392i 0.311480 0.0834607i −0.0996929 0.995018i \(-0.531786\pi\)
0.411173 + 0.911558i \(0.365119\pi\)
\(692\) 7.25455 + 6.22251i 0.275777 + 0.236544i
\(693\) 0.142645 0.228066i 0.00541863 0.00866352i
\(694\) 18.3110 19.7669i 0.695078 0.750340i
\(695\) 19.5631 + 11.2947i 0.742070 + 0.428434i
\(696\) 1.06209 + 4.57980i 0.0402584 + 0.173597i
\(697\) 34.5379 19.9405i 1.30822 0.755299i
\(698\) −5.67274 + 24.9475i −0.214716 + 0.944278i
\(699\) −15.6521 2.34258i −0.592015 0.0886045i
\(700\) 0.126408 + 0.0606214i 0.00477777 + 0.00229127i
\(701\) 16.2977 + 16.2977i 0.615557 + 0.615557i 0.944389 0.328831i \(-0.106655\pi\)
−0.328831 + 0.944389i \(0.606655\pi\)
\(702\) 5.17392 + 13.0323i 0.195277 + 0.491874i
\(703\) 52.8439i 1.99304i
\(704\) 4.95680 2.65081i 0.186816 0.0999063i
\(705\) −34.7992 + 25.7388i −1.31062 + 0.969378i
\(706\) 4.92023 + 7.81637i 0.185175 + 0.294173i
\(707\) −1.54314 0.413484i −0.0580359 0.0155507i
\(708\) 14.4256 2.76932i 0.542147 0.104077i
\(709\) −18.6437 + 4.99557i −0.700180 + 0.187613i −0.591311 0.806443i \(-0.701390\pi\)
−0.108869 + 0.994056i \(0.534723\pi\)
\(710\) −7.71848 + 8.33214i −0.289669 + 0.312700i
\(711\) 7.10604 + 7.62672i 0.266497 + 0.286024i
\(712\) −3.42856 29.7753i −0.128491 1.11588i
\(713\) −22.3267 + 38.6710i −0.836142 + 1.44824i
\(714\) −0.542609 1.23742i −0.0203066 0.0463093i
\(715\) 2.73210 + 0.732065i 0.102175 + 0.0273777i
\(716\) 9.81001 + 1.83961i 0.366617 + 0.0687493i
\(717\) 4.64202 + 11.7917i 0.173359 + 0.440370i
\(718\) 15.0483 28.5291i 0.561599 1.06470i
\(719\) −24.2401 −0.904003 −0.452002 0.892017i \(-0.649290\pi\)
−0.452002 + 0.892017i \(0.649290\pi\)
\(720\) −20.2888 + 15.1416i −0.756120 + 0.564293i
\(721\) 1.07669 0.0400980
\(722\) −8.33596 + 15.8036i −0.310232 + 0.588148i
\(723\) 2.69322 3.38438i 0.100162 0.125866i
\(724\) −3.83090 + 20.4289i −0.142374 + 0.759234i
\(725\) 0.509157 + 0.136428i 0.0189096 + 0.00506682i
\(726\) 25.5786 + 2.83408i 0.949309 + 0.105182i
\(727\) −8.10074 + 14.0309i −0.300440 + 0.520377i −0.976236 0.216712i \(-0.930467\pi\)
0.675796 + 0.737089i \(0.263800\pi\)
\(728\) 0.539526 + 0.428105i 0.0199962 + 0.0158666i
\(729\) 16.9652 + 21.0044i 0.628340 + 0.777939i
\(730\) 3.80516 4.10769i 0.140835 0.152032i
\(731\) 46.9902 12.5910i 1.73800 0.465694i
\(732\) −12.0662 + 10.4399i −0.445980 + 0.385871i
\(733\) 8.04180 + 2.15479i 0.297031 + 0.0795891i 0.404257 0.914646i \(-0.367530\pi\)
−0.107226 + 0.994235i \(0.534197\pi\)
\(734\) −18.0686 28.7041i −0.666924 1.05949i
\(735\) −2.88349 25.3555i −0.106359 0.935251i
\(736\) −14.5332 + 42.0824i −0.535700 + 1.55118i
\(737\) 1.46289i 0.0538863i
\(738\) −10.0222 + 37.8400i −0.368922 + 1.39291i
\(739\) 22.8405 + 22.8405i 0.840203 + 0.840203i 0.988885 0.148682i \(-0.0475030\pi\)
−0.148682 + 0.988885i \(0.547503\pi\)
\(740\) 17.1421 35.7447i 0.630155 1.31400i
\(741\) −6.80909 17.2966i −0.250138 0.635405i
\(742\) −0.000146584 0 0.000644647i −5.38128e−6 0 2.36657e-5i
\(743\) −7.19608 + 4.15466i −0.263999 + 0.152420i −0.626157 0.779697i \(-0.715373\pi\)
0.362159 + 0.932116i \(0.382040\pi\)
\(744\) 13.0732 + 24.5287i 0.479287 + 0.899267i
\(745\) −0.385931 0.222817i −0.0141394 0.00816339i
\(746\) 23.0544 24.8874i 0.844083 0.911192i
\(747\) 0.161417 4.56734i 0.00590595 0.167110i
\(748\) −3.95462 + 4.61052i −0.144595 + 0.168577i
\(749\) −1.26399 + 0.338684i −0.0461850 + 0.0123752i
\(750\) 4.32650 + 28.3483i 0.157981 + 1.03513i
\(751\) 28.0215 16.1782i 1.02252 0.590352i 0.107687 0.994185i \(-0.465656\pi\)
0.914833 + 0.403833i \(0.132322\pi\)
\(752\) 29.6623 + 36.9478i 1.08167 + 1.34735i
\(753\) 4.04390 + 5.46742i 0.147368 + 0.199244i
\(754\) 2.29052 + 1.20819i 0.0834158 + 0.0439996i
\(755\) 3.42502 3.42502i 0.124649 0.124649i
\(756\) 1.23682 + 0.478666i 0.0449828 + 0.0174089i
\(757\) 3.76265 + 3.76265i 0.136756 + 0.136756i 0.772171 0.635415i \(-0.219171\pi\)
−0.635415 + 0.772171i \(0.719171\pi\)
\(758\) 19.0423 5.89077i 0.691649 0.213962i
\(759\) 7.70069 5.69570i 0.279517 0.206741i
\(760\) 26.9545 19.9953i 0.977743 0.725304i
\(761\) 13.1168 + 22.7190i 0.475485 + 0.823564i 0.999606 0.0280801i \(-0.00893934\pi\)
−0.524121 + 0.851644i \(0.675606\pi\)
\(762\) 19.0226 25.8748i 0.689117 0.937347i
\(763\) 0.480419 + 1.79295i 0.0173923 + 0.0649090i
\(764\) −10.3253 + 0.790689i −0.373556 + 0.0286061i
\(765\) 14.5066 23.1938i 0.524489 0.838572i
\(766\) 0.249371 + 6.52239i 0.00901012 + 0.235664i
\(767\) 4.04557 7.00713i 0.146077 0.253013i
\(768\) 17.4418 + 21.5356i 0.629376 + 0.777101i
\(769\) −9.31591 16.1356i −0.335940 0.581865i 0.647725 0.761874i \(-0.275721\pi\)
−0.983665 + 0.180009i \(0.942387\pi\)
\(770\) 0.226403 0.142516i 0.00815901 0.00513592i
\(771\) 17.9019 7.04741i 0.644722 0.253806i
\(772\) −22.8614 + 47.6707i −0.822801 + 1.71571i
\(773\) −4.69430 + 4.69430i