Properties

Label 190.2.k.d.61.2
Level $190$
Weight $2$
Character 190.61
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 61.2
Root \(-0.0180720 - 0.0313015i\) of defining polynomial
Character \(\chi\) \(=\) 190.61
Dual form 190.2.k.d.81.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(0.00627632 + 0.0355948i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.766044 - 0.642788i) q^{5} +(-0.00627632 + 0.0355948i) q^{6} +(-0.918706 + 1.59124i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.81785 - 1.02561i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(0.00627632 + 0.0355948i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.766044 - 0.642788i) q^{5} +(-0.00627632 + 0.0355948i) q^{6} +(-0.918706 + 1.59124i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.81785 - 1.02561i) q^{9} +(0.939693 - 0.342020i) q^{10} +(1.23288 + 2.13541i) q^{11} +(-0.0180720 + 0.0313015i) q^{12} +(0.415556 - 2.35673i) q^{13} +(-1.40754 + 1.18107i) q^{14} +(0.0276878 + 0.0232329i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-6.33539 - 2.30589i) q^{17} +2.99869 q^{18} +(-4.34868 - 0.298357i) q^{19} +1.00000 q^{20} +(-0.0624061 - 0.0227140i) q^{21} +(0.428174 + 2.42830i) q^{22} +(1.24170 + 1.04191i) q^{23} +(-0.0276878 + 0.0232329i) q^{24} +(0.173648 - 0.984808i) q^{25} +(1.19655 - 2.07248i) q^{26} +(0.108408 + 0.187768i) q^{27} +(-1.72660 + 0.628432i) q^{28} +(-3.10246 + 1.12920i) q^{29} +(0.0180720 + 0.0313015i) q^{30} +(1.75192 - 3.03441i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-0.0682715 + 0.0572866i) q^{33} +(-5.16466 - 4.33366i) q^{34} +(0.319063 + 1.80950i) q^{35} +(2.81785 + 1.02561i) q^{36} -6.00888 q^{37} +(-3.98437 - 1.76770i) q^{38} +0.0864957 q^{39} +(0.939693 + 0.342020i) q^{40} +(-1.38582 - 7.85939i) q^{41} +(-0.0508739 - 0.0426883i) q^{42} +(4.37751 - 3.67317i) q^{43} +(-0.428174 + 2.42830i) q^{44} +(1.49935 - 2.59694i) q^{45} +(0.810460 + 1.40376i) q^{46} +(-11.7392 + 4.27274i) q^{47} +(-0.0339642 + 0.0123619i) q^{48} +(1.81196 + 3.13841i) q^{49} +(0.500000 - 0.866025i) q^{50} +(0.0423149 - 0.239980i) q^{51} +(1.83321 - 1.53825i) q^{52} +(-1.47185 - 1.23503i) q^{53} +(0.0376497 + 0.213522i) q^{54} +(2.31705 + 0.843338i) q^{55} -1.83741 q^{56} +(-0.0166738 - 0.156663i) q^{57} -3.30157 q^{58} +(4.46726 + 1.62595i) q^{59} +(0.00627632 + 0.0355948i) q^{60} +(10.4674 + 8.78317i) q^{61} +(2.68410 - 2.25222i) q^{62} +(-0.956772 + 5.42613i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.19655 - 2.07248i) q^{65} +(-0.0837473 + 0.0304815i) q^{66} +(3.49344 - 1.27151i) q^{67} +(-3.37099 - 5.83873i) q^{68} +(-0.0292932 + 0.0507373i) q^{69} +(-0.319063 + 1.80950i) q^{70} +(4.46844 - 3.74946i) q^{71} +(2.29713 + 1.92752i) q^{72} +(-0.0886314 - 0.502654i) q^{73} +(-5.64650 - 2.05516i) q^{74} +0.0361439 q^{75} +(-3.13950 - 3.02383i) q^{76} -4.53061 q^{77} +(0.0812794 + 0.0295833i) q^{78} +(2.10729 + 11.9511i) q^{79} +(0.766044 + 0.642788i) q^{80} +(6.88539 - 5.77753i) q^{81} +(1.38582 - 7.85939i) q^{82} +(-3.11628 + 5.39755i) q^{83} +(-0.0332056 - 0.0575138i) q^{84} +(-6.33539 + 2.30589i) q^{85} +(5.36981 - 1.95445i) q^{86} +(-0.0596659 - 0.103344i) q^{87} +(-1.23288 + 2.13541i) q^{88} +(2.95236 - 16.7437i) q^{89} +(2.29713 - 1.92752i) q^{90} +(3.36837 + 2.82640i) q^{91} +(0.281470 + 1.59629i) q^{92} +(0.119005 + 0.0433143i) q^{93} -12.4926 q^{94} +(-3.52306 + 2.56672i) q^{95} -0.0361439 q^{96} +(12.8360 + 4.67194i) q^{97} +(0.629287 + 3.56887i) q^{98} +(5.66417 + 4.75280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) 0.00627632 + 0.0355948i 0.00362364 + 0.0205507i 0.986566 0.163363i \(-0.0522343\pi\)
−0.982942 + 0.183914i \(0.941123\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 0.766044 0.642788i 0.342585 0.287463i
\(6\) −0.00627632 + 0.0355948i −0.00256230 + 0.0145315i
\(7\) −0.918706 + 1.59124i −0.347238 + 0.601434i −0.985758 0.168172i \(-0.946214\pi\)
0.638520 + 0.769605i \(0.279547\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 2.81785 1.02561i 0.939283 0.341871i
\(10\) 0.939693 0.342020i 0.297157 0.108156i
\(11\) 1.23288 + 2.13541i 0.371727 + 0.643850i 0.989831 0.142246i \(-0.0454325\pi\)
−0.618105 + 0.786096i \(0.712099\pi\)
\(12\) −0.0180720 + 0.0313015i −0.00521692 + 0.00903598i
\(13\) 0.415556 2.35673i 0.115254 0.653641i −0.871369 0.490627i \(-0.836768\pi\)
0.986624 0.163013i \(-0.0521213\pi\)
\(14\) −1.40754 + 1.18107i −0.376180 + 0.315653i
\(15\) 0.0276878 + 0.0232329i 0.00714897 + 0.00599870i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −6.33539 2.30589i −1.53656 0.559261i −0.571341 0.820712i \(-0.693577\pi\)
−0.965217 + 0.261451i \(0.915799\pi\)
\(18\) 2.99869 0.706799
\(19\) −4.34868 0.298357i −0.997655 0.0684477i
\(20\) 1.00000 0.223607
\(21\) −0.0624061 0.0227140i −0.0136181 0.00495660i
\(22\) 0.428174 + 2.42830i 0.0912870 + 0.517714i
\(23\) 1.24170 + 1.04191i 0.258912 + 0.217253i 0.762998 0.646400i \(-0.223726\pi\)
−0.504087 + 0.863653i \(0.668171\pi\)
\(24\) −0.0276878 + 0.0232329i −0.00565176 + 0.00474239i
\(25\) 0.173648 0.984808i 0.0347296 0.196962i
\(26\) 1.19655 2.07248i 0.234662 0.406446i
\(27\) 0.108408 + 0.187768i 0.0208632 + 0.0361360i
\(28\) −1.72660 + 0.628432i −0.326297 + 0.118762i
\(29\) −3.10246 + 1.12920i −0.576113 + 0.209688i −0.613611 0.789609i \(-0.710284\pi\)
0.0374978 + 0.999297i \(0.488061\pi\)
\(30\) 0.0180720 + 0.0313015i 0.00329947 + 0.00571485i
\(31\) 1.75192 3.03441i 0.314654 0.544997i −0.664710 0.747102i \(-0.731445\pi\)
0.979364 + 0.202105i \(0.0647782\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) −0.0682715 + 0.0572866i −0.0118845 + 0.00997231i
\(34\) −5.16466 4.33366i −0.885732 0.743217i
\(35\) 0.319063 + 1.80950i 0.0539315 + 0.305861i
\(36\) 2.81785 + 1.02561i 0.469642 + 0.170936i
\(37\) −6.00888 −0.987854 −0.493927 0.869503i \(-0.664439\pi\)
−0.493927 + 0.869503i \(0.664439\pi\)
\(38\) −3.98437 1.76770i −0.646351 0.286759i
\(39\) 0.0864957 0.0138504
\(40\) 0.939693 + 0.342020i 0.148578 + 0.0540781i
\(41\) −1.38582 7.85939i −0.216429 1.22743i −0.878409 0.477909i \(-0.841395\pi\)
0.661980 0.749521i \(-0.269716\pi\)
\(42\) −0.0508739 0.0426883i −0.00785002 0.00658695i
\(43\) 4.37751 3.67317i 0.667564 0.560153i −0.244779 0.969579i \(-0.578715\pi\)
0.912343 + 0.409426i \(0.134271\pi\)
\(44\) −0.428174 + 2.42830i −0.0645497 + 0.366079i
\(45\) 1.49935 2.59694i 0.223509 0.387130i
\(46\) 0.810460 + 1.40376i 0.119496 + 0.206973i
\(47\) −11.7392 + 4.27274i −1.71234 + 0.623243i −0.997133 0.0756655i \(-0.975892\pi\)
−0.715212 + 0.698908i \(0.753670\pi\)
\(48\) −0.0339642 + 0.0123619i −0.00490231 + 0.00178429i
\(49\) 1.81196 + 3.13841i 0.258851 + 0.448344i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 0.0423149 0.239980i 0.00592527 0.0336039i
\(52\) 1.83321 1.53825i 0.254221 0.213317i
\(53\) −1.47185 1.23503i −0.202174 0.169644i 0.536080 0.844167i \(-0.319905\pi\)
−0.738253 + 0.674524i \(0.764349\pi\)
\(54\) 0.0376497 + 0.213522i 0.00512348 + 0.0290567i
\(55\) 2.31705 + 0.843338i 0.312431 + 0.113716i
\(56\) −1.83741 −0.245534
\(57\) −0.0166738 0.156663i −0.00220849 0.0207505i
\(58\) −3.30157 −0.433518
\(59\) 4.46726 + 1.62595i 0.581587 + 0.211681i 0.616025 0.787726i \(-0.288742\pi\)
−0.0344379 + 0.999407i \(0.510964\pi\)
\(60\) 0.00627632 + 0.0355948i 0.000810270 + 0.00459527i
\(61\) 10.4674 + 8.78317i 1.34021 + 1.12457i 0.981572 + 0.191093i \(0.0612033\pi\)
0.358638 + 0.933477i \(0.383241\pi\)
\(62\) 2.68410 2.25222i 0.340881 0.286033i
\(63\) −0.956772 + 5.42613i −0.120542 + 0.683628i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −1.19655 2.07248i −0.148413 0.257059i
\(66\) −0.0837473 + 0.0304815i −0.0103086 + 0.00375202i
\(67\) 3.49344 1.27151i 0.426792 0.155340i −0.119688 0.992812i \(-0.538190\pi\)
0.546480 + 0.837472i \(0.315967\pi\)
\(68\) −3.37099 5.83873i −0.408793 0.708050i
\(69\) −0.0292932 + 0.0507373i −0.00352648 + 0.00610805i
\(70\) −0.319063 + 1.80950i −0.0381353 + 0.216276i
\(71\) 4.46844 3.74946i 0.530306 0.444980i −0.337901 0.941182i \(-0.609717\pi\)
0.868207 + 0.496202i \(0.165272\pi\)
\(72\) 2.29713 + 1.92752i 0.270720 + 0.227161i
\(73\) −0.0886314 0.502654i −0.0103735 0.0588311i 0.979182 0.202986i \(-0.0650647\pi\)
−0.989555 + 0.144155i \(0.953954\pi\)
\(74\) −5.64650 2.05516i −0.656393 0.238907i
\(75\) 0.0361439 0.00417354
\(76\) −3.13950 3.02383i −0.360125 0.346857i
\(77\) −4.53061 −0.516311
\(78\) 0.0812794 + 0.0295833i 0.00920307 + 0.00334965i
\(79\) 2.10729 + 11.9511i 0.237089 + 1.34460i 0.838169 + 0.545411i \(0.183626\pi\)
−0.601080 + 0.799189i \(0.705263\pi\)
\(80\) 0.766044 + 0.642788i 0.0856464 + 0.0718658i
\(81\) 6.88539 5.77753i 0.765044 0.641948i
\(82\) 1.38582 7.85939i 0.153038 0.867924i
\(83\) −3.11628 + 5.39755i −0.342056 + 0.592459i −0.984814 0.173610i \(-0.944457\pi\)
0.642758 + 0.766069i \(0.277790\pi\)
\(84\) −0.0332056 0.0575138i −0.00362303 0.00627527i
\(85\) −6.33539 + 2.30589i −0.687170 + 0.250109i
\(86\) 5.36981 1.95445i 0.579042 0.210754i
\(87\) −0.0596659 0.103344i −0.00639685 0.0110797i
\(88\) −1.23288 + 2.13541i −0.131425 + 0.227635i
\(89\) 2.95236 16.7437i 0.312949 1.77482i −0.270545 0.962707i \(-0.587204\pi\)
0.583494 0.812117i \(-0.301685\pi\)
\(90\) 2.29713 1.92752i 0.242139 0.203179i
\(91\) 3.36837 + 2.82640i 0.353101 + 0.296287i
\(92\) 0.281470 + 1.59629i 0.0293452 + 0.166425i
\(93\) 0.119005 + 0.0433143i 0.0123402 + 0.00449148i
\(94\) −12.4926 −1.28852
\(95\) −3.52306 + 2.56672i −0.361458 + 0.263340i
\(96\) −0.0361439 −0.00368892
\(97\) 12.8360 + 4.67194i 1.30330 + 0.474363i 0.898071 0.439851i \(-0.144969\pi\)
0.405232 + 0.914214i \(0.367191\pi\)
\(98\) 0.629287 + 3.56887i 0.0635676 + 0.360510i
\(99\) 5.66417 + 4.75280i 0.569270 + 0.477675i
\(100\) 0.766044 0.642788i 0.0766044 0.0642788i
\(101\) −1.85079 + 10.4964i −0.184161 + 1.04443i 0.742868 + 0.669438i \(0.233465\pi\)
−0.927029 + 0.374990i \(0.877646\pi\)
\(102\) 0.121841 0.211034i 0.0120640 0.0208955i
\(103\) 4.87465 + 8.44314i 0.480313 + 0.831927i 0.999745 0.0225848i \(-0.00718956\pi\)
−0.519431 + 0.854512i \(0.673856\pi\)
\(104\) 2.24877 0.818485i 0.220510 0.0802591i
\(105\) −0.0624061 + 0.0227140i −0.00609022 + 0.00221666i
\(106\) −0.960680 1.66395i −0.0933095 0.161617i
\(107\) −6.64287 + 11.5058i −0.642191 + 1.11231i 0.342752 + 0.939426i \(0.388641\pi\)
−0.984943 + 0.172881i \(0.944692\pi\)
\(108\) −0.0376497 + 0.213522i −0.00362285 + 0.0205462i
\(109\) 1.10611 0.928135i 0.105946 0.0888992i −0.588276 0.808660i \(-0.700193\pi\)
0.694222 + 0.719761i \(0.255749\pi\)
\(110\) 1.88888 + 1.58496i 0.180098 + 0.151120i
\(111\) −0.0377137 0.213885i −0.00357963 0.0203011i
\(112\) −1.72660 0.628432i −0.163149 0.0593812i
\(113\) −0.841529 −0.0791644 −0.0395822 0.999216i \(-0.512603\pi\)
−0.0395822 + 0.999216i \(0.512603\pi\)
\(114\) 0.0379136 0.152918i 0.00355094 0.0143221i
\(115\) 1.62092 0.151151
\(116\) −3.10246 1.12920i −0.288056 0.104844i
\(117\) −1.24612 7.06713i −0.115204 0.653356i
\(118\) 3.64174 + 3.05578i 0.335250 + 0.281308i
\(119\) 9.48960 7.96272i 0.869910 0.729941i
\(120\) −0.00627632 + 0.0355948i −0.000572947 + 0.00324935i
\(121\) 2.46002 4.26089i 0.223639 0.387353i
\(122\) 6.83209 + 11.8335i 0.618549 + 1.07136i
\(123\) 0.271056 0.0986562i 0.0244403 0.00889553i
\(124\) 3.29253 1.19838i 0.295678 0.107618i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −2.75492 + 4.77166i −0.245427 + 0.425093i
\(127\) 2.25496 12.7885i 0.200095 1.13480i −0.704878 0.709329i \(-0.748998\pi\)
0.904973 0.425469i \(-0.139891\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) 0.158220 + 0.132763i 0.0139305 + 0.0116891i
\(130\) −0.415556 2.35673i −0.0364467 0.206699i
\(131\) −8.39051 3.05389i −0.733082 0.266820i −0.0516131 0.998667i \(-0.516436\pi\)
−0.681469 + 0.731847i \(0.738658\pi\)
\(132\) −0.0891221 −0.00775708
\(133\) 4.46991 6.64571i 0.387590 0.576256i
\(134\) 3.71765 0.321156
\(135\) 0.203741 + 0.0741555i 0.0175352 + 0.00638229i
\(136\) −1.17073 6.63956i −0.100390 0.569337i
\(137\) 3.41165 + 2.86271i 0.291477 + 0.244578i 0.776786 0.629764i \(-0.216849\pi\)
−0.485309 + 0.874343i \(0.661293\pi\)
\(138\) −0.0448798 + 0.0376586i −0.00382042 + 0.00320571i
\(139\) −0.210369 + 1.19306i −0.0178433 + 0.101194i −0.992429 0.122822i \(-0.960806\pi\)
0.974585 + 0.224016i \(0.0719168\pi\)
\(140\) −0.918706 + 1.59124i −0.0776448 + 0.134485i
\(141\) −0.225767 0.391039i −0.0190130 0.0329314i
\(142\) 5.48135 1.99505i 0.459985 0.167421i
\(143\) 5.54492 2.01819i 0.463689 0.168769i
\(144\) 1.49935 + 2.59694i 0.124946 + 0.216412i
\(145\) −1.65079 + 2.85924i −0.137090 + 0.237447i
\(146\) 0.0886314 0.502654i 0.00733519 0.0415999i
\(147\) −0.100339 + 0.0841940i −0.00827578 + 0.00694421i
\(148\) −4.60307 3.86244i −0.378370 0.317490i
\(149\) 1.61216 + 9.14300i 0.132073 + 0.749024i 0.976853 + 0.213910i \(0.0686201\pi\)
−0.844780 + 0.535114i \(0.820269\pi\)
\(150\) 0.0339642 + 0.0123619i 0.00277316 + 0.00100935i
\(151\) −3.34570 −0.272269 −0.136135 0.990690i \(-0.543468\pi\)
−0.136135 + 0.990690i \(0.543468\pi\)
\(152\) −1.91595 3.91524i −0.155404 0.317568i
\(153\) −20.2171 −1.63446
\(154\) −4.25738 1.54956i −0.343069 0.124867i
\(155\) −0.608435 3.45061i −0.0488707 0.277160i
\(156\) 0.0662595 + 0.0555984i 0.00530501 + 0.00445143i
\(157\) 5.40304 4.53369i 0.431210 0.361828i −0.401198 0.915991i \(-0.631406\pi\)
0.832408 + 0.554163i \(0.186962\pi\)
\(158\) −2.10729 + 11.9511i −0.167647 + 0.950775i
\(159\) 0.0347227 0.0601415i 0.00275369 0.00476953i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −2.79868 + 1.01864i −0.220567 + 0.0802798i
\(162\) 8.44619 3.07416i 0.663595 0.241529i
\(163\) 7.92794 + 13.7316i 0.620964 + 1.07554i 0.989307 + 0.145851i \(0.0465920\pi\)
−0.368343 + 0.929690i \(0.620075\pi\)
\(164\) 3.99032 6.91143i 0.311591 0.539692i
\(165\) −0.0154759 + 0.0877681i −0.00120480 + 0.00683274i
\(166\) −4.77442 + 4.00621i −0.370567 + 0.310942i
\(167\) −10.4379 8.75846i −0.807711 0.677750i 0.142349 0.989817i \(-0.454534\pi\)
−0.950060 + 0.312066i \(0.898979\pi\)
\(168\) −0.0115322 0.0654023i −0.000889728 0.00504590i
\(169\) 6.83449 + 2.48755i 0.525730 + 0.191350i
\(170\) −6.74198 −0.517086
\(171\) −12.5599 + 3.61934i −0.960481 + 0.276778i
\(172\) 5.71443 0.435721
\(173\) −11.3134 4.11774i −0.860142 0.313066i −0.125973 0.992034i \(-0.540205\pi\)
−0.734168 + 0.678968i \(0.762428\pi\)
\(174\) −0.0207217 0.117519i −0.00157091 0.00890908i
\(175\) 1.40754 + 1.18107i 0.106400 + 0.0892801i
\(176\) −1.88888 + 1.58496i −0.142380 + 0.119471i
\(177\) −0.0298374 + 0.169216i −0.00224271 + 0.0127191i
\(178\) 8.50098 14.7241i 0.637175 1.10362i
\(179\) −8.03649 13.9196i −0.600675 1.04040i −0.992719 0.120454i \(-0.961565\pi\)
0.392044 0.919947i \(-0.371768\pi\)
\(180\) 2.81785 1.02561i 0.210030 0.0764447i
\(181\) −5.40615 + 1.96768i −0.401836 + 0.146256i −0.535029 0.844834i \(-0.679699\pi\)
0.133193 + 0.991090i \(0.457477\pi\)
\(182\) 2.19855 + 3.80799i 0.162967 + 0.282267i
\(183\) −0.246939 + 0.427710i −0.0182542 + 0.0316173i
\(184\) −0.281470 + 1.59629i −0.0207502 + 0.117680i
\(185\) −4.60307 + 3.86244i −0.338425 + 0.283972i
\(186\) 0.0970138 + 0.0814042i 0.00711339 + 0.00596885i
\(187\) −2.88674 16.3715i −0.211099 1.19720i
\(188\) −11.7392 4.27274i −0.856172 0.311621i
\(189\) −0.398381 −0.0289779
\(190\) −4.18846 + 1.20697i −0.303863 + 0.0875629i
\(191\) −20.5460 −1.48666 −0.743329 0.668926i \(-0.766754\pi\)
−0.743329 + 0.668926i \(0.766754\pi\)
\(192\) −0.0339642 0.0123619i −0.00245115 0.000892147i
\(193\) −2.17302 12.3238i −0.156418 0.887089i −0.957478 0.288506i \(-0.906842\pi\)
0.801060 0.598583i \(-0.204269\pi\)
\(194\) 10.4640 + 8.78037i 0.751274 + 0.630394i
\(195\) 0.0662595 0.0555984i 0.00474494 0.00398148i
\(196\) −0.629287 + 3.56887i −0.0449491 + 0.254919i
\(197\) −3.01173 + 5.21647i −0.214577 + 0.371658i −0.953142 0.302524i \(-0.902171\pi\)
0.738565 + 0.674183i \(0.235504\pi\)
\(198\) 3.69702 + 6.40343i 0.262736 + 0.455072i
\(199\) −10.5749 + 3.84894i −0.749633 + 0.272844i −0.688451 0.725283i \(-0.741709\pi\)
−0.0611814 + 0.998127i \(0.519487\pi\)
\(200\) 0.939693 0.342020i 0.0664463 0.0241845i
\(201\) 0.0671851 + 0.116368i 0.00473887 + 0.00820797i
\(202\) −5.32914 + 9.23035i −0.374957 + 0.649445i
\(203\) 1.05341 5.97418i 0.0739349 0.419305i
\(204\) 0.186671 0.156636i 0.0130696 0.0109667i
\(205\) −6.11352 5.12985i −0.426987 0.358284i
\(206\) 1.69295 + 9.60119i 0.117953 + 0.668946i
\(207\) 4.56751 + 1.66244i 0.317464 + 0.115547i
\(208\) 2.39309 0.165931
\(209\) −4.72427 9.65403i −0.326785 0.667783i
\(210\) −0.0664112 −0.00458281
\(211\) −13.2192 4.81141i −0.910049 0.331231i −0.155777 0.987792i \(-0.549788\pi\)
−0.754273 + 0.656561i \(0.772010\pi\)
\(212\) −0.333641 1.89217i −0.0229145 0.129955i
\(213\) 0.161507 + 0.135520i 0.0110663 + 0.00928570i
\(214\) −10.1775 + 8.53991i −0.695718 + 0.583776i
\(215\) 0.992301 5.62762i 0.0676744 0.383800i
\(216\) −0.108408 + 0.187768i −0.00737624 + 0.0127760i
\(217\) 3.21900 + 5.57547i 0.218520 + 0.378487i
\(218\) 1.35684 0.493850i 0.0918969 0.0334477i
\(219\) 0.0173356 0.00630963i 0.00117143 0.000426366i
\(220\) 1.23288 + 2.13541i 0.0831206 + 0.143969i
\(221\) −8.06709 + 13.9726i −0.542651 + 0.939899i
\(222\) 0.0377137 0.213885i 0.00253118 0.0143550i
\(223\) 19.3828 16.2641i 1.29797 1.08913i 0.307477 0.951555i \(-0.400515\pi\)
0.990492 0.137570i \(-0.0439293\pi\)
\(224\) −1.40754 1.18107i −0.0940451 0.0789132i
\(225\) −0.520718 2.95314i −0.0347145 0.196876i
\(226\) −0.790779 0.287820i −0.0526018 0.0191455i
\(227\) 22.0111 1.46093 0.730464 0.682951i \(-0.239304\pi\)
0.730464 + 0.682951i \(0.239304\pi\)
\(228\) 0.0879281 0.130728i 0.00582318 0.00865770i
\(229\) −5.29529 −0.349923 −0.174961 0.984575i \(-0.555980\pi\)
−0.174961 + 0.984575i \(0.555980\pi\)
\(230\) 1.52317 + 0.554387i 0.100435 + 0.0365552i
\(231\) −0.0284356 0.161266i −0.00187092 0.0106105i
\(232\) −2.52915 2.12221i −0.166047 0.139330i
\(233\) 15.7436 13.2104i 1.03140 0.865445i 0.0403803 0.999184i \(-0.487143\pi\)
0.991016 + 0.133740i \(0.0426986\pi\)
\(234\) 1.24612 7.06713i 0.0814617 0.461992i
\(235\) −6.24632 + 10.8189i −0.407465 + 0.705750i
\(236\) 2.37698 + 4.11705i 0.154728 + 0.267997i
\(237\) −0.412170 + 0.150017i −0.0267733 + 0.00974468i
\(238\) 11.6407 4.23688i 0.754556 0.274636i
\(239\) −0.443585 0.768312i −0.0286931 0.0496980i 0.851322 0.524643i \(-0.175801\pi\)
−0.880015 + 0.474945i \(0.842468\pi\)
\(240\) −0.0180720 + 0.0313015i −0.00116654 + 0.00202051i
\(241\) −0.694839 + 3.94063i −0.0447585 + 0.253838i −0.998974 0.0452809i \(-0.985582\pi\)
0.954216 + 0.299119i \(0.0966928\pi\)
\(242\) 3.76898 3.16255i 0.242279 0.203296i
\(243\) 0.747138 + 0.626923i 0.0479289 + 0.0402171i
\(244\) 2.37276 + 13.4566i 0.151900 + 0.861471i
\(245\) 3.40537 + 1.23945i 0.217561 + 0.0791858i
\(246\) 0.288451 0.0183910
\(247\) −2.51027 + 10.1247i −0.159724 + 0.644219i
\(248\) 3.50384 0.222494
\(249\) −0.211684 0.0770466i −0.0134149 0.00488263i
\(250\) −0.173648 0.984808i −0.0109825 0.0622847i
\(251\) −9.70480 8.14329i −0.612561 0.514000i 0.282894 0.959151i \(-0.408706\pi\)
−0.895455 + 0.445151i \(0.853150\pi\)
\(252\) −4.22078 + 3.54165i −0.265884 + 0.223103i
\(253\) −0.694035 + 3.93607i −0.0436336 + 0.247459i
\(254\) 6.49290 11.2460i 0.407401 0.705639i
\(255\) −0.121841 0.211034i −0.00762997 0.0132155i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 12.2581 4.46158i 0.764639 0.278306i 0.0698866 0.997555i \(-0.477736\pi\)
0.694752 + 0.719249i \(0.255514\pi\)
\(258\) 0.103271 + 0.178871i 0.00642937 + 0.0111360i
\(259\) 5.52039 9.56160i 0.343021 0.594129i
\(260\) 0.415556 2.35673i 0.0257717 0.146158i
\(261\) −7.58415 + 6.36386i −0.469447 + 0.393913i
\(262\) −6.84000 5.73944i −0.422577 0.354584i
\(263\) 4.90583 + 27.8224i 0.302507 + 1.71560i 0.635015 + 0.772500i \(0.280994\pi\)
−0.332508 + 0.943100i \(0.607895\pi\)
\(264\) −0.0837473 0.0304815i −0.00515429 0.00187601i
\(265\) −1.92136 −0.118028
\(266\) 6.47331 4.71612i 0.396904 0.289164i
\(267\) 0.614517 0.0376079
\(268\) 3.49344 + 1.27151i 0.213396 + 0.0776698i
\(269\) 5.13013 + 29.0944i 0.312789 + 1.77392i 0.584356 + 0.811498i \(0.301347\pi\)
−0.271566 + 0.962420i \(0.587542\pi\)
\(270\) 0.166091 + 0.139367i 0.0101080 + 0.00848159i
\(271\) 20.6918 17.3624i 1.25693 1.05469i 0.260933 0.965357i \(-0.415970\pi\)
0.996001 0.0893367i \(-0.0284747\pi\)
\(272\) 1.17073 6.63956i 0.0709861 0.402582i
\(273\) −0.0794641 + 0.137636i −0.00480938 + 0.00833010i
\(274\) 2.22680 + 3.85692i 0.134526 + 0.233005i
\(275\) 2.31705 0.843338i 0.139724 0.0508552i
\(276\) −0.0550532 + 0.0200377i −0.00331381 + 0.00120613i
\(277\) 12.0889 + 20.9386i 0.726352 + 1.25808i 0.958415 + 0.285378i \(0.0921192\pi\)
−0.232063 + 0.972701i \(0.574547\pi\)
\(278\) −0.605735 + 1.04916i −0.0363295 + 0.0629246i
\(279\) 1.82451 10.3473i 0.109231 0.619478i
\(280\) −1.40754 + 1.18107i −0.0841165 + 0.0705821i
\(281\) 1.83928 + 1.54334i 0.109722 + 0.0920681i 0.695998 0.718043i \(-0.254962\pi\)
−0.586276 + 0.810111i \(0.699407\pi\)
\(282\) −0.0784079 0.444673i −0.00466912 0.0264799i
\(283\) −7.65937 2.78778i −0.455302 0.165716i 0.104181 0.994558i \(-0.466778\pi\)
−0.559483 + 0.828842i \(0.689000\pi\)
\(284\) 5.83313 0.346133
\(285\) −0.113474 0.109293i −0.00672161 0.00647396i
\(286\) 5.90078 0.348920
\(287\) 13.7794 + 5.01528i 0.813371 + 0.296043i
\(288\) 0.520718 + 2.95314i 0.0306836 + 0.174015i
\(289\) 21.7973 + 18.2901i 1.28219 + 1.07589i
\(290\) −2.52915 + 2.12221i −0.148517 + 0.124620i
\(291\) −0.0857335 + 0.486219i −0.00502579 + 0.0285027i
\(292\) 0.255204 0.442026i 0.0149347 0.0258676i
\(293\) −4.59878 7.96532i −0.268664 0.465339i 0.699853 0.714287i \(-0.253249\pi\)
−0.968517 + 0.248947i \(0.919915\pi\)
\(294\) −0.123083 + 0.0447987i −0.00717837 + 0.00261271i
\(295\) 4.46726 1.62595i 0.260094 0.0946664i
\(296\) −3.00444 5.20385i −0.174630 0.302467i
\(297\) −0.267308 + 0.462991i −0.0155108 + 0.0268655i
\(298\) −1.61216 + 9.14300i −0.0933898 + 0.529640i
\(299\) 2.97149 2.49338i 0.171846 0.144196i
\(300\) 0.0276878 + 0.0232329i 0.00159856 + 0.00134135i
\(301\) 1.82326 + 10.3402i 0.105091 + 0.596002i
\(302\) −3.14393 1.14430i −0.180913 0.0658469i
\(303\) −0.385232 −0.0221310
\(304\) −0.461316 4.33442i −0.0264583 0.248596i
\(305\) 13.6642 0.782409
\(306\) −18.9979 6.91467i −1.08604 0.395285i
\(307\) −4.92243 27.9165i −0.280938 1.59328i −0.719444 0.694550i \(-0.755603\pi\)
0.438506 0.898728i \(-0.355508\pi\)
\(308\) −3.47065 2.91222i −0.197758 0.165939i
\(309\) −0.269937 + 0.226504i −0.0153562 + 0.0128854i
\(310\) 0.608435 3.45061i 0.0345568 0.195981i
\(311\) −8.72043 + 15.1042i −0.494490 + 0.856482i −0.999980 0.00635057i \(-0.997979\pi\)
0.505490 + 0.862833i \(0.331312\pi\)
\(312\) 0.0432478 + 0.0749075i 0.00244843 + 0.00424080i
\(313\) 12.4024 4.51409i 0.701022 0.255151i 0.0331750 0.999450i \(-0.489438\pi\)
0.667847 + 0.744298i \(0.267216\pi\)
\(314\) 6.62781 2.41233i 0.374029 0.136135i
\(315\) 2.75492 + 4.77166i 0.155222 + 0.268852i
\(316\) −6.06771 + 10.5096i −0.341336 + 0.591210i
\(317\) −2.13351 + 12.0997i −0.119830 + 0.679588i 0.864415 + 0.502778i \(0.167689\pi\)
−0.984245 + 0.176810i \(0.943422\pi\)
\(318\) 0.0531983 0.0446387i 0.00298321 0.00250321i
\(319\) −6.23627 5.23285i −0.349164 0.292983i
\(320\) 0.173648 + 0.984808i 0.00970723 + 0.0550524i
\(321\) −0.451239 0.164238i −0.0251857 0.00916685i
\(322\) −2.97829 −0.165974
\(323\) 26.8626 + 11.9178i 1.49467 + 0.663124i
\(324\) 8.98824 0.499347
\(325\) −2.24877 0.818485i −0.124739 0.0454014i
\(326\) 2.75334 + 15.6150i 0.152494 + 0.864834i
\(327\) 0.0399791 + 0.0335464i 0.00221085 + 0.00185512i
\(328\) 6.11352 5.12985i 0.337563 0.283249i
\(329\) 3.98594 22.6054i 0.219752 1.24628i
\(330\) −0.0445610 + 0.0771820i −0.00245300 + 0.00424873i
\(331\) −0.498297 0.863076i −0.0273889 0.0474389i 0.852006 0.523532i \(-0.175386\pi\)
−0.879395 + 0.476093i \(0.842053\pi\)
\(332\) −5.85669 + 2.13166i −0.321428 + 0.116990i
\(333\) −16.9321 + 6.16279i −0.927875 + 0.337719i
\(334\) −6.81287 11.8002i −0.372784 0.645681i
\(335\) 1.85882 3.21958i 0.101558 0.175904i
\(336\) 0.0115322 0.0654023i 0.000629132 0.00356799i
\(337\) 6.55672 5.50174i 0.357167 0.299699i −0.446493 0.894787i \(-0.647327\pi\)
0.803660 + 0.595088i \(0.202883\pi\)
\(338\) 5.57153 + 4.67507i 0.303051 + 0.254290i
\(339\) −0.00528171 0.0299541i −0.000286863 0.00162688i
\(340\) −6.33539 2.30589i −0.343585 0.125055i
\(341\) 8.63961 0.467861
\(342\) −13.0403 0.894680i −0.705141 0.0483788i
\(343\) −19.5205 −1.05401
\(344\) 5.36981 + 1.95445i 0.289521 + 0.105377i
\(345\) 0.0101734 + 0.0576963i 0.000547718 + 0.00310626i
\(346\) −9.22276 7.73882i −0.495819 0.416041i
\(347\) −5.08479 + 4.26665i −0.272966 + 0.229046i −0.768986 0.639265i \(-0.779239\pi\)
0.496020 + 0.868311i \(0.334794\pi\)
\(348\) 0.0207217 0.117519i 0.00111080 0.00629967i
\(349\) −15.5221 + 26.8851i −0.830881 + 1.43913i 0.0664599 + 0.997789i \(0.478830\pi\)
−0.897341 + 0.441339i \(0.854504\pi\)
\(350\) 0.918706 + 1.59124i 0.0491069 + 0.0850556i
\(351\) 0.487570 0.177461i 0.0260246 0.00947216i
\(352\) −2.31705 + 0.843338i −0.123499 + 0.0449501i
\(353\) −8.88145 15.3831i −0.472712 0.818761i 0.526800 0.849989i \(-0.323392\pi\)
−0.999512 + 0.0312277i \(0.990058\pi\)
\(354\) −0.0859133 + 0.148806i −0.00456624 + 0.00790896i
\(355\) 1.01291 5.74451i 0.0537598 0.304887i
\(356\) 13.0243 10.9287i 0.690284 0.579217i
\(357\) 0.342991 + 0.287804i 0.0181530 + 0.0152322i
\(358\) −2.79104 15.8288i −0.147511 0.836578i
\(359\) 4.82640 + 1.75667i 0.254728 + 0.0927134i 0.466228 0.884665i \(-0.345613\pi\)
−0.211500 + 0.977378i \(0.567835\pi\)
\(360\) 2.99869 0.158045
\(361\) 18.8220 + 2.59491i 0.990630 + 0.136574i
\(362\) −5.75310 −0.302376
\(363\) 0.167105 + 0.0608214i 0.00877076 + 0.00319229i
\(364\) 0.763547 + 4.33029i 0.0400207 + 0.226969i
\(365\) −0.390995 0.328084i −0.0204656 0.0171727i
\(366\) −0.378332 + 0.317458i −0.0197757 + 0.0165938i
\(367\) −0.997763 + 5.65859i −0.0520828 + 0.295376i −0.999712 0.0239963i \(-0.992361\pi\)
0.947629 + 0.319372i \(0.103472\pi\)
\(368\) −0.810460 + 1.40376i −0.0422481 + 0.0731759i
\(369\) −11.9657 20.7253i −0.622911 1.07891i
\(370\) −5.64650 + 2.05516i −0.293548 + 0.106843i
\(371\) 3.31742 1.20744i 0.172232 0.0626873i
\(372\) 0.0633212 + 0.109676i 0.00328305 + 0.00568641i
\(373\) −18.8927 + 32.7231i −0.978227 + 1.69434i −0.309379 + 0.950939i \(0.600121\pi\)
−0.668848 + 0.743399i \(0.733212\pi\)
\(374\) 2.88674 16.3715i 0.149270 0.846551i
\(375\) 0.0276878 0.0232329i 0.00142979 0.00119974i
\(376\) −9.56992 8.03012i −0.493531 0.414122i
\(377\) 1.37199 + 7.78093i 0.0706610 + 0.400738i
\(378\) −0.374355 0.136254i −0.0192548 0.00700816i
\(379\) −32.2663 −1.65741 −0.828703 0.559689i \(-0.810921\pi\)
−0.828703 + 0.559689i \(0.810921\pi\)
\(380\) −4.34868 0.298357i −0.223082 0.0153054i
\(381\) 0.469358 0.0240459
\(382\) −19.3069 7.02715i −0.987829 0.359540i
\(383\) −3.78204 21.4490i −0.193253 1.09599i −0.914885 0.403715i \(-0.867719\pi\)
0.721632 0.692277i \(-0.243392\pi\)
\(384\) −0.0276878 0.0232329i −0.00141294 0.00118560i
\(385\) −3.47065 + 2.91222i −0.176881 + 0.148420i
\(386\) 2.17302 12.3238i 0.110604 0.627267i
\(387\) 8.56792 14.8401i 0.435532 0.754363i
\(388\) 6.82991 + 11.8298i 0.346736 + 0.600565i
\(389\) −9.10078 + 3.31241i −0.461428 + 0.167946i −0.562265 0.826957i \(-0.690070\pi\)
0.100837 + 0.994903i \(0.467848\pi\)
\(390\) 0.0812794 0.0295833i 0.00411574 0.00149801i
\(391\) −5.46410 9.46411i −0.276332 0.478620i
\(392\) −1.81196 + 3.13841i −0.0915178 + 0.158514i
\(393\) 0.0560412 0.317826i 0.00282691 0.0160322i
\(394\) −4.61424 + 3.87181i −0.232462 + 0.195059i
\(395\) 9.29628 + 7.80050i 0.467746 + 0.392486i
\(396\) 1.28396 + 7.28171i 0.0645216 + 0.365920i
\(397\) 17.2858 + 6.29151i 0.867549 + 0.315762i 0.737174 0.675703i \(-0.236160\pi\)
0.130375 + 0.991465i \(0.458382\pi\)
\(398\) −11.2535 −0.564089
\(399\) 0.264607 + 0.117395i 0.0132469 + 0.00587710i
\(400\) 1.00000 0.0500000
\(401\) 34.3332 + 12.4963i 1.71452 + 0.624034i 0.997342 0.0728556i \(-0.0232112\pi\)
0.717178 + 0.696890i \(0.245433\pi\)
\(402\) 0.0233331 + 0.132329i 0.00116375 + 0.00659996i
\(403\) −6.42329 5.38978i −0.319967 0.268484i
\(404\) −8.16472 + 6.85102i −0.406210 + 0.340851i
\(405\) 1.56079 8.85169i 0.0775564 0.439844i
\(406\) 3.03317 5.25361i 0.150534 0.260732i
\(407\) −7.40822 12.8314i −0.367212 0.636030i
\(408\) 0.228986 0.0833440i 0.0113365 0.00412614i
\(409\) −34.1168 + 12.4175i −1.68697 + 0.614005i −0.994238 0.107194i \(-0.965813\pi\)
−0.692728 + 0.721199i \(0.743591\pi\)
\(410\) −3.99032 6.91143i −0.197068 0.341331i
\(411\) −0.0804851 + 0.139404i −0.00397004 + 0.00687631i
\(412\) −1.69295 + 9.60119i −0.0834056 + 0.473016i
\(413\) −6.69138 + 5.61473i −0.329261 + 0.276283i
\(414\) 3.72347 + 3.12436i 0.182998 + 0.153554i
\(415\) 1.08227 + 6.13787i 0.0531267 + 0.301296i
\(416\) 2.24877 + 0.818485i 0.110255 + 0.0401295i
\(417\) −0.0437872 −0.00214427
\(418\) −1.13749 10.6876i −0.0556366 0.522749i
\(419\) 39.5001 1.92970 0.964852 0.262793i \(-0.0846437\pi\)
0.964852 + 0.262793i \(0.0846437\pi\)
\(420\) −0.0624061 0.0227140i −0.00304511 0.00110833i
\(421\) −2.44853 13.8863i −0.119334 0.676777i −0.984513 0.175313i \(-0.943906\pi\)
0.865179 0.501464i \(-0.167205\pi\)
\(422\) −10.7764 9.04248i −0.524588 0.440181i
\(423\) −28.6973 + 24.0799i −1.39531 + 1.17080i
\(424\) 0.333641 1.89217i 0.0162030 0.0918919i
\(425\) −3.37099 + 5.83873i −0.163517 + 0.283220i
\(426\) 0.105416 + 0.182586i 0.00510743 + 0.00884632i
\(427\) −23.5926 + 8.58701i −1.14173 + 0.415554i
\(428\) −12.4845 + 4.54399i −0.603462 + 0.219642i
\(429\) 0.106639 + 0.184703i 0.00514856 + 0.00891757i
\(430\) 2.85722 4.94884i 0.137787 0.238654i
\(431\) 3.65410 20.7234i 0.176012 0.998213i −0.760958 0.648802i \(-0.775270\pi\)
0.936969 0.349411i \(-0.113618\pi\)
\(432\) −0.166091 + 0.139367i −0.00799105 + 0.00670529i
\(433\) −4.02763 3.37958i −0.193555 0.162412i 0.540860 0.841113i \(-0.318099\pi\)
−0.734415 + 0.678701i \(0.762543\pi\)
\(434\) 1.11795 + 6.34019i 0.0536631 + 0.304339i
\(435\) −0.112135 0.0408138i −0.00537647 0.00195687i
\(436\) 1.44392 0.0691513
\(437\) −5.08887 4.90138i −0.243434 0.234465i
\(438\) 0.0184481 0.000881486
\(439\) −34.2836 12.4782i −1.63627 0.595552i −0.649885 0.760032i \(-0.725183\pi\)
−0.986380 + 0.164480i \(0.947405\pi\)
\(440\) 0.428174 + 2.42830i 0.0204124 + 0.115764i
\(441\) 8.32463 + 6.98519i 0.396411 + 0.332628i
\(442\) −12.3595 + 10.3709i −0.587881 + 0.493291i
\(443\) −1.60289 + 9.09046i −0.0761558 + 0.431901i 0.922761 + 0.385372i \(0.125927\pi\)
−0.998917 + 0.0465285i \(0.985184\pi\)
\(444\) 0.108592 0.188087i 0.00515356 0.00892623i
\(445\) −8.50098 14.7241i −0.402985 0.697991i
\(446\) 23.7765 8.65395i 1.12585 0.409777i
\(447\) −0.315325 + 0.114769i −0.0149144 + 0.00542838i
\(448\) −0.918706 1.59124i −0.0434048 0.0751792i
\(449\) 11.4148 19.7711i 0.538699 0.933054i −0.460275 0.887776i \(-0.652249\pi\)
0.998974 0.0452780i \(-0.0144174\pi\)
\(450\) 0.520718 2.95314i 0.0245469 0.139212i
\(451\) 15.0744 12.6490i 0.709828 0.595616i
\(452\) −0.644649 0.540925i −0.0303217 0.0254430i
\(453\) −0.0209987 0.119090i −0.000986605 0.00559532i
\(454\) 20.6837 + 7.52824i 0.970733 + 0.353318i
\(455\) 4.39709 0.206139
\(456\) 0.127337 0.0927713i 0.00596311 0.00434442i
\(457\) −7.82515 −0.366045 −0.183022 0.983109i \(-0.558588\pi\)
−0.183022 + 0.983109i \(0.558588\pi\)
\(458\) −4.97594 1.81110i −0.232511 0.0846269i
\(459\) −0.253834 1.43956i −0.0118480 0.0671931i
\(460\) 1.24170 + 1.04191i 0.0578944 + 0.0485792i
\(461\) −3.01184 + 2.52724i −0.140276 + 0.117705i −0.710225 0.703974i \(-0.751407\pi\)
0.569950 + 0.821679i \(0.306963\pi\)
\(462\) 0.0284356 0.161266i 0.00132294 0.00750278i
\(463\) 8.64820 14.9791i 0.401916 0.696139i −0.592041 0.805908i \(-0.701678\pi\)
0.993957 + 0.109769i \(0.0350110\pi\)
\(464\) −1.65079 2.85924i −0.0766358 0.132737i
\(465\) 0.119005 0.0433143i 0.00551872 0.00200865i
\(466\) 19.3124 7.02913i 0.894628 0.325618i
\(467\) 10.5134 + 18.2097i 0.486501 + 0.842644i 0.999880 0.0155178i \(-0.00493967\pi\)
−0.513379 + 0.858162i \(0.671606\pi\)
\(468\) 3.58807 6.21473i 0.165859 0.287276i
\(469\) −1.18616 + 6.72707i −0.0547719 + 0.310627i
\(470\) −9.56992 + 8.03012i −0.441427 + 0.370402i
\(471\) 0.195287 + 0.163865i 0.00899836 + 0.00755052i
\(472\) 0.825516 + 4.68173i 0.0379974 + 0.215494i
\(473\) 13.2406 + 4.81920i 0.608805 + 0.221587i
\(474\) −0.438622 −0.0201466
\(475\) −1.04896 + 4.23080i −0.0481298 + 0.194122i
\(476\) 12.3878 0.567794
\(477\) −5.41410 1.97057i −0.247895 0.0902263i
\(478\) −0.154055 0.873692i −0.00704633 0.0399617i
\(479\) 16.1878 + 13.5832i 0.739640 + 0.620631i 0.932741 0.360547i \(-0.117410\pi\)
−0.193101 + 0.981179i \(0.561855\pi\)
\(480\) −0.0276878 + 0.0232329i −0.00126377 + 0.00106043i
\(481\) −2.49703 + 14.1613i −0.113855 + 0.645702i
\(482\) −2.00071 + 3.46533i −0.0911298 + 0.157841i
\(483\) −0.0538236 0.0932252i −0.00244906 0.00424190i
\(484\) 4.62333 1.68276i 0.210151 0.0764889i
\(485\) 12.8360 4.67194i 0.582855 0.212142i
\(486\) 0.487660 + 0.844651i 0.0221207 + 0.0383142i
\(487\) 8.60015 14.8959i 0.389710 0.674998i −0.602700 0.797968i \(-0.705909\pi\)
0.992410 + 0.122970i \(0.0392419\pi\)
\(488\) −2.37276 + 13.4566i −0.107410 + 0.609152i
\(489\) −0.439015 + 0.368377i −0.0198529 + 0.0166586i
\(490\) 2.77608 + 2.32941i 0.125411 + 0.105232i
\(491\) −5.75424 32.6339i −0.259685 1.47275i −0.783753 0.621072i \(-0.786697\pi\)
0.524068 0.851676i \(-0.324414\pi\)
\(492\) 0.271056 + 0.0986562i 0.0122201 + 0.00444776i
\(493\) 22.2591 1.00250
\(494\) −5.82173 + 8.65554i −0.261932 + 0.389431i
\(495\) 7.39405 0.332338
\(496\) 3.29253 + 1.19838i 0.147839 + 0.0538090i
\(497\) 1.86114 + 10.5550i 0.0834834 + 0.473458i
\(498\) −0.172566 0.144800i −0.00773287 0.00648865i
\(499\) −24.4903 + 20.5498i −1.09634 + 0.919936i −0.997173 0.0751346i \(-0.976061\pi\)
−0.0991642 + 0.995071i \(0.531617\pi\)
\(500\) 0.173648 0.984808i 0.00776578 0.0440419i
\(501\) 0.246244 0.426507i 0.0110014 0.0190549i
\(502\) −6.33436 10.9714i −0.282716 0.489679i
\(503\) 23.7193 8.63311i 1.05759 0.384931i 0.246068 0.969253i \(-0.420861\pi\)
0.811523 + 0.584321i \(0.198639\pi\)
\(504\) −5.17755 + 1.88447i −0.230626 + 0.0839411i
\(505\) 5.32914 + 9.23035i 0.237144 + 0.410745i
\(506\) −1.99840 + 3.46132i −0.0888395 + 0.153875i
\(507\) −0.0456484 + 0.258885i −0.00202732 + 0.0114975i
\(508\) 9.94770 8.34711i 0.441358 0.370343i
\(509\) −13.0617 10.9600i −0.578948 0.485795i 0.305654 0.952143i \(-0.401125\pi\)
−0.884601 + 0.466348i \(0.845570\pi\)
\(510\) −0.0423149 0.239980i −0.00187373 0.0106265i
\(511\) 0.881271 + 0.320756i 0.0389851 + 0.0141894i
\(512\) −1.00000 −0.0441942
\(513\) −0.415410 0.848888i −0.0183408 0.0374793i
\(514\) 13.0448 0.575381
\(515\) 9.16134 + 3.33446i 0.403697 + 0.146934i
\(516\) 0.0358656 + 0.203404i 0.00157890 + 0.00895437i
\(517\) −23.5971 19.8003i −1.03780 0.870816i
\(518\) 8.45773 7.09688i 0.371612 0.311819i
\(519\) 0.0755636 0.428542i 0.00331687 0.0188109i
\(520\) 1.19655 2.07248i 0.0524720 0.0908842i
\(521\) 3.40256 + 5.89342i 0.149069 + 0.258195i 0.930884 0.365316i \(-0.119039\pi\)
−0.781815 + 0.623511i \(0.785706\pi\)
\(522\) −9.30333 + 3.38614i −0.407196 + 0.148207i
\(523\) −4.90593 + 1.78561i −0.214521 + 0.0780794i −0.447045 0.894511i \(-0.647524\pi\)
0.232524 + 0.972591i \(0.425302\pi\)
\(524\) −4.46449 7.73273i −0.195032 0.337806i
\(525\) −0.0332056 + 0.0575138i −0.00144921 + 0.00251011i
\(526\) −4.90583 + 27.8224i −0.213904 + 1.21311i
\(527\) −18.0961 + 15.1845i −0.788280 + 0.661445i
\(528\) −0.0682715 0.0572866i −0.00297113 0.00249308i
\(529\) −3.53767 20.0631i −0.153812 0.872309i
\(530\) −1.80549 0.657144i −0.0784254 0.0285445i
\(531\) 14.2557 0.618643
\(532\) 7.69593 2.21770i 0.333661 0.0961496i
\(533\) −19.0984 −0.827243
\(534\) 0.577457 + 0.210177i 0.0249890 + 0.00909526i
\(535\) 2.30705 + 13.0839i 0.0997423 + 0.565667i
\(536\) 2.84788 + 2.38966i 0.123010 + 0.103217i
\(537\) 0.445026 0.373421i 0.0192043 0.0161143i
\(538\) −5.13013 + 29.0944i −0.221176 + 1.25435i
\(539\) −4.46785 + 7.73855i −0.192444 + 0.333323i
\(540\) 0.108408 + 0.187768i 0.00466514 + 0.00808026i
\(541\) 24.5890 8.94968i 1.05717 0.384777i 0.245803 0.969320i \(-0.420948\pi\)
0.811363 + 0.584543i \(0.198726\pi\)
\(542\) 25.3822 9.23836i 1.09026 0.396822i
\(543\) −0.103970 0.180081i −0.00446177 0.00772802i
\(544\) 3.37099 5.83873i 0.144530 0.250333i
\(545\) 0.250734 1.42198i 0.0107403 0.0609111i
\(546\) −0.121746 + 0.102157i −0.00521025 + 0.00437192i
\(547\) 27.2225 + 22.8424i 1.16395 + 0.976671i 0.999952 0.00978982i \(-0.00311625\pi\)
0.163999 + 0.986461i \(0.447561\pi\)
\(548\) 0.773358 + 4.38593i 0.0330362 + 0.187358i
\(549\) 38.5036 + 14.0142i 1.64330 + 0.598111i
\(550\) 2.46576 0.105140
\(551\) 13.8285 3.98490i 0.589114 0.169763i
\(552\) −0.0585864 −0.00249360
\(553\) −20.9530 7.62628i −0.891014 0.324303i
\(554\) 4.19844 + 23.8105i 0.178374 + 1.01161i
\(555\) −0.166373 0.139604i −0.00706214 0.00592584i
\(556\) −0.928039 + 0.778717i −0.0393576 + 0.0330250i
\(557\) 5.32949 30.2250i 0.225818 1.28068i −0.635298 0.772267i \(-0.719123\pi\)
0.861116 0.508409i \(-0.169766\pi\)
\(558\) 5.25347 9.09928i 0.222397 0.385203i
\(559\) −6.83758 11.8430i −0.289199 0.500907i
\(560\) −1.72660 + 0.628432i −0.0729622 + 0.0265561i
\(561\) 0.564623 0.205506i 0.0238384 0.00867647i
\(562\) 1.20051 + 2.07934i 0.0506403 + 0.0877116i
\(563\) −15.6022 + 27.0238i −0.657553 + 1.13892i 0.323694 + 0.946162i \(0.395075\pi\)
−0.981247 + 0.192754i \(0.938258\pi\)
\(564\) 0.0784079 0.444673i 0.00330157 0.0187241i
\(565\) −0.644649 + 0.540925i −0.0271206 + 0.0227569i
\(566\) −6.24398 5.23932i −0.262454 0.220225i
\(567\) 2.86782 + 16.2642i 0.120437 + 0.683032i
\(568\) 5.48135 + 1.99505i 0.229992 + 0.0837104i
\(569\) −20.6053 −0.863820 −0.431910 0.901917i \(-0.642160\pi\)
−0.431910 + 0.901917i \(0.642160\pi\)
\(570\) −0.0692501 0.141512i −0.00290057 0.00592729i
\(571\) 4.38785 0.183626 0.0918129 0.995776i \(-0.470734\pi\)
0.0918129 + 0.995776i \(0.470734\pi\)
\(572\) 5.54492 + 2.01819i 0.231845 + 0.0843846i
\(573\) −0.128953 0.731332i −0.00538711 0.0305518i
\(574\) 11.2330 + 9.42565i 0.468858 + 0.393419i
\(575\) 1.24170 1.04191i 0.0517823 0.0434505i
\(576\) −0.520718 + 2.95314i −0.0216966 + 0.123047i
\(577\) −14.9410 + 25.8786i −0.622004 + 1.07734i 0.367109 + 0.930178i \(0.380348\pi\)
−0.989112 + 0.147164i \(0.952986\pi\)
\(578\) 14.2272 + 24.6422i 0.591772 + 1.02498i
\(579\) 0.425026 0.154697i 0.0176635 0.00642898i
\(580\) −3.10246 + 1.12920i −0.128823 + 0.0468876i
\(581\) −5.72589 9.91753i −0.237550 0.411448i
\(582\) −0.246860 + 0.427574i −0.0102327 + 0.0177235i
\(583\) 0.822676 4.66563i 0.0340718 0.193231i
\(584\) 0.390995 0.328084i 0.0161795 0.0135762i
\(585\) −5.49725 4.61274i −0.227283 0.190713i
\(586\) −1.59714 9.05783i −0.0659773 0.374176i
\(587\) −37.0049 13.4687i −1.52736 0.555912i −0.564383 0.825513i \(-0.690886\pi\)
−0.962972 + 0.269601i \(0.913108\pi\)
\(588\) −0.130983 −0.00540163
\(589\) −8.52387 + 12.6730i −0.351220 + 0.522181i
\(590\) 4.75396 0.195717
\(591\) −0.204582 0.0744617i −0.00841538 0.00306295i
\(592\) −1.04343 5.91759i −0.0428848 0.243212i
\(593\) −30.7274 25.7834i −1.26182 1.05880i −0.995485 0.0949157i \(-0.969742\pi\)
−0.266338 0.963880i \(-0.585814\pi\)
\(594\) −0.409540 + 0.343645i −0.0168036 + 0.0140999i
\(595\) 2.15112 12.1996i 0.0881872 0.500135i
\(596\) −4.64202 + 8.04022i −0.190145 + 0.329340i
\(597\) −0.203373 0.352253i −0.00832352 0.0144168i
\(598\) 3.64507 1.32670i 0.149058 0.0542527i
\(599\) −29.5623 + 10.7598i −1.20788 + 0.439634i −0.865970 0.500097i \(-0.833298\pi\)
−0.341915 + 0.939731i \(0.611076\pi\)
\(600\) 0.0180720 + 0.0313015i 0.000737785 + 0.00127788i
\(601\) 17.2445 29.8683i 0.703418 1.21836i −0.263842 0.964566i \(-0.584990\pi\)
0.967260 0.253789i \(-0.0816769\pi\)
\(602\) −1.82326 + 10.3402i −0.0743107 + 0.421437i
\(603\) 8.53992 7.16585i 0.347773 0.291816i
\(604\) −2.56296 2.15058i −0.104285 0.0875057i
\(605\) −0.854357 4.84530i −0.0347346 0.196990i
\(606\) −0.362000 0.131757i −0.0147052 0.00535227i
\(607\) 12.9979 0.527568 0.263784 0.964582i \(-0.415029\pi\)
0.263784 + 0.964582i \(0.415029\pi\)
\(608\) 1.04896 4.23080i 0.0425411 0.171582i
\(609\) 0.219261 0.00888492
\(610\) 12.8401 + 4.67343i 0.519882 + 0.189222i
\(611\) 5.19139 + 29.4418i 0.210021 + 1.19109i
\(612\) −15.4872 12.9953i −0.626034 0.525305i
\(613\) 6.67364 5.59985i 0.269546 0.226176i −0.497989 0.867184i \(-0.665928\pi\)
0.767534 + 0.641008i \(0.221483\pi\)
\(614\) 4.92243 27.9165i 0.198653 1.12662i
\(615\) 0.144226 0.249806i 0.00581574 0.0100732i
\(616\) −2.26530 3.92362i −0.0912717 0.158087i
\(617\) 22.8877 8.33044i 0.921424 0.335371i 0.162619 0.986689i \(-0.448006\pi\)
0.758805 + 0.651318i \(0.225784\pi\)
\(618\) −0.331127 + 0.120520i −0.0133199 + 0.00484804i
\(619\) −0.822483 1.42458i −0.0330584 0.0572588i 0.849023 0.528356i \(-0.177191\pi\)
−0.882081 + 0.471097i \(0.843858\pi\)
\(620\) 1.75192 3.03441i 0.0703588 0.121865i
\(621\) −0.0610272 + 0.346102i −0.00244894 + 0.0138886i
\(622\) −13.3605 + 11.2108i −0.535706 + 0.449511i
\(623\) 23.9309 + 20.0804i 0.958772 + 0.804505i
\(624\) 0.0150198 + 0.0851816i 0.000601274 + 0.00340999i
\(625\) −0.939693 0.342020i −0.0375877 0.0136808i
\(626\) 13.1983 0.527510
\(627\) 0.313982 0.228751i 0.0125392 0.00913545i
\(628\) 7.05317 0.281452
\(629\) 38.0686 + 13.8558i 1.51790 + 0.552469i
\(630\) 0.956772 + 5.42613i 0.0381187 + 0.216182i
\(631\) −33.3220 27.9605i −1.32653 1.11309i −0.984876 0.173261i \(-0.944570\pi\)
−0.341651 0.939827i \(-0.610986\pi\)
\(632\) −9.29628 + 7.80050i −0.369786 + 0.310287i
\(633\) 0.0882929 0.500734i 0.00350933 0.0199024i
\(634\) −6.14319 + 10.6403i −0.243977 + 0.422581i
\(635\) −6.49290 11.2460i −0.257663 0.446285i
\(636\) 0.0652574 0.0237517i 0.00258762 0.000941818i
\(637\) 8.14936 2.96613i 0.322890 0.117522i
\(638\) −4.07043 7.05020i −0.161150 0.279120i
\(639\) 8.74589 15.1483i 0.345982 0.599258i
\(640\) −0.173648 + 0.984808i −0.00686405 + 0.0389279i
\(641\) −28.2069 + 23.6684i −1.11411 + 0.934846i −0.998292 0.0584253i \(-0.981392\pi\)
−0.115814 + 0.993271i \(0.536948\pi\)
\(642\) −0.367854 0.308666i −0.0145180 0.0121821i
\(643\) −2.55882 14.5118i −0.100910 0.572288i −0.992775 0.119988i \(-0.961715\pi\)
0.891866 0.452301i \(-0.149397\pi\)
\(644\) −2.79868 1.01864i −0.110284 0.0401399i
\(645\) 0.206542 0.00813258
\(646\) 21.1664 + 20.3866i 0.832783 + 0.802100i
\(647\) −6.04813 −0.237776 −0.118888 0.992908i \(-0.537933\pi\)
−0.118888 + 0.992908i \(0.537933\pi\)
\(648\) 8.44619 + 3.07416i 0.331798 + 0.120764i
\(649\) 2.03552 + 11.5440i 0.0799012 + 0.453142i
\(650\) −1.83321 1.53825i −0.0719046 0.0603351i
\(651\) −0.178254 + 0.149573i −0.00698633 + 0.00586223i
\(652\) −2.75334 + 15.6150i −0.107829 + 0.611530i
\(653\) 1.44434 2.50167i 0.0565213 0.0978978i −0.836380 0.548150i \(-0.815332\pi\)
0.892902 + 0.450252i \(0.148666\pi\)
\(654\) 0.0260945 + 0.0451970i 0.00102037 + 0.00176734i
\(655\) −8.39051 + 3.05389i −0.327844 + 0.119326i
\(656\) 7.49934 2.72954i 0.292800 0.106571i
\(657\) −0.765278 1.32550i −0.0298563 0.0517127i
\(658\) 11.4771 19.8789i 0.447422 0.774958i
\(659\) 2.83413 16.0731i 0.110402 0.626120i −0.878523 0.477701i \(-0.841470\pi\)
0.988925 0.148419i \(-0.0474185\pi\)
\(660\) −0.0682715 + 0.0572866i −0.00265746 + 0.00222988i
\(661\) 21.8640 + 18.3461i 0.850410 + 0.713579i 0.959880 0.280411i \(-0.0904708\pi\)
−0.109470 + 0.993990i \(0.534915\pi\)
\(662\) −0.173057 0.981453i −0.00672604 0.0381453i
\(663\) −0.547984 0.199450i −0.0212819 0.00774599i
\(664\) −6.23256 −0.241870
\(665\) −0.847627 7.96411i −0.0328696 0.308835i
\(666\) −18.0188 −0.698214
\(667\) −5.02884 1.83035i −0.194718 0.0708714i
\(668\) −2.36609 13.4187i −0.0915466 0.519187i
\(669\) 0.700571 + 0.587849i 0.0270856 + 0.0227275i
\(670\) 2.84788 2.38966i 0.110023 0.0923205i
\(671\) −5.85065 + 33.1807i −0.225862 + 1.28093i
\(672\) 0.0332056 0.0575138i 0.00128093 0.00221864i
\(673\) −3.11723 5.39921i −0.120161 0.208124i 0.799670 0.600439i \(-0.205008\pi\)
−0.919831 + 0.392315i \(0.871674\pi\)
\(674\) 8.04300 2.92741i 0.309805 0.112760i
\(675\) 0.203741 0.0741555i 0.00784198 0.00285425i
\(676\) 3.63656 + 6.29870i 0.139868 + 0.242258i
\(677\) 7.30750 12.6570i 0.280850 0.486446i −0.690744 0.723099i \(-0.742717\pi\)
0.971594 + 0.236653i \(0.0760503\pi\)
\(678\) 0.00528171 0.0299541i 0.000202843 0.00115038i
\(679\) −19.2267 + 16.1331i −0.737854 + 0.619133i
\(680\) −5.16466 4.33366i −0.198056 0.166188i
\(681\) 0.138149 + 0.783481i 0.00529388 + 0.0300231i
\(682\) 8.11858 + 2.95492i 0.310877 + 0.113150i
\(683\) 47.0671 1.80097 0.900486 0.434885i \(-0.143211\pi\)
0.900486 + 0.434885i \(0.143211\pi\)
\(684\) −11.9479 5.30079i −0.456840 0.202681i
\(685\) 4.45359 0.170163
\(686\) −18.3433 6.67641i −0.700350 0.254906i
\(687\) −0.0332350 0.188485i −0.00126799 0.00719114i
\(688\) 4.37751 + 3.67317i 0.166891 + 0.140038i
\(689\) −3.52226 + 2.95553i −0.134188 + 0.112597i
\(690\) −0.0101734 + 0.0576963i −0.000387295 + 0.00219646i
\(691\) 13.6742 23.6844i 0.520191 0.900997i −0.479534 0.877523i \(-0.659194\pi\)
0.999724 0.0234732i \(-0.00747242\pi\)
\(692\) −6.01973 10.4265i −0.228836 0.396355i
\(693\) −12.7666 + 4.64665i −0.484962 + 0.176512i
\(694\) −6.23742 + 2.27024i −0.236769 + 0.0861770i
\(695\) 0.605735 + 1.04916i 0.0229768 + 0.0397970i
\(696\) 0.0596659 0.103344i 0.00226163 0.00391726i
\(697\) −9.34319 + 52.9879i −0.353899 + 2.00706i
\(698\) −23.7813 + 19.9549i −0.900135 + 0.755303i
\(699\) 0.569035 + 0.477477i 0.0215229 + 0.0180598i
\(700\) 0.319063 + 1.80950i 0.0120595 + 0.0683925i
\(701\) −18.6359 6.78290i −0.703867 0.256187i −0.0348060 0.999394i \(-0.511081\pi\)
−0.669061 + 0.743207i \(0.733304\pi\)
\(702\) 0.518861 0.0195831
\(703\) 26.1307 + 1.79279i 0.985538 + 0.0676164i
\(704\) −2.46576 −0.0929317
\(705\) −0.424302 0.154433i −0.0159801 0.00581630i
\(706\) −3.08450 17.4931i −0.116087 0.658360i
\(707\) −15.0020 12.5881i −0.564206 0.473425i
\(708\) −0.131627 + 0.110448i −0.00494684 + 0.00415089i
\(709\) 5.68008 32.2133i 0.213320 1.20980i −0.670479 0.741929i \(-0.733911\pi\)
0.883799 0.467868i \(-0.154978\pi\)
\(710\) 2.91657 5.05164i 0.109457 0.189585i
\(711\) 18.1952 + 31.5150i 0.682374 + 1.18191i
\(712\) 15.9766 5.81501i 0.598749 0.217927i
\(713\) 5.33693 1.94248i 0.199870 0.0727466i
\(714\) 0.223872 + 0.387757i 0.00837819 + 0.0145114i
\(715\) 2.95039 5.11022i 0.110338 0.191112i
\(716\) 2.79104 15.8288i 0.104306 0.591550i
\(717\) 0.0245638 0.0206115i 0.000917353 0.000769750i
\(718\) 3.93452 + 3.30146i 0.146835 + 0.123209i
\(719\) −0.563968 3.19842i −0.0210325 0.119281i 0.972484 0.232970i \(-0.0748444\pi\)
−0.993516 + 0.113689i \(0.963733\pi\)
\(720\) 2.81785 + 1.02561i 0.105015 + 0.0382224i
\(721\) −17.9135 −0.667132
\(722\) 16.7994 + 8.87591i 0.625207 + 0.330327i
\(723\) −0.144627 −0.00537873
\(724\) −5.40615 1.96768i −0.200918 0.0731282i
\(725\) 0.573312 + 3.25141i 0.0212923 + 0.120754i
\(726\) 0.136226 + 0.114307i 0.00505580 + 0.00424232i
\(727\) 14.8686 12.4762i 0.551446 0.462718i −0.323984 0.946062i \(-0.605023\pi\)
0.875430 + 0.483344i \(0.160578\pi\)
\(728\) −0.763547 + 4.33029i −0.0282989 + 0.160491i
\(729\) 13.4647 23.3216i 0.498694 0.863764i
\(730\) −0.255204 0.442026i −0.00944552 0.0163601i
\(731\) −36.2032 + 13.1769i −1.33902 + 0.487364i
\(732\) −0.464093 + 0.168916i −0.0171534 + 0.00624331i
\(733\) −6.03763 10.4575i −0.223005 0.386256i 0.732714 0.680537i \(-0.238253\pi\)
−0.955719 + 0.294281i \(0.904920\pi\)
\(734\) −2.87294 + 4.97608i −0.106042 + 0.183671i
\(735\) −0.0227449 + 0.128993i −0.000838958 + 0.00475797i
\(736\) −1.24170 + 1.04191i −0.0457695 + 0.0384052i
\(737\) 7.02218 + 5.89231i 0.258665 + 0.217046i
\(738\) −4.15566 23.5679i −0.152972 0.867547i
\(739\) −2.86243 1.04184i −0.105296 0.0383246i 0.288835 0.957379i \(-0.406732\pi\)
−0.394131 + 0.919054i \(0.628954\pi\)
\(740\) −6.00888 −0.220891
\(741\) −0.376142 0.0258066i −0.0138179 0.000948028i
\(742\) 3.53033 0.129602
\(743\) −37.3589 13.5975i −1.37057 0.498845i −0.451261 0.892392i \(-0.649026\pi\)
−0.919305 + 0.393547i \(0.871248\pi\)
\(744\) 0.0219912 + 0.124718i 0.000806238 + 0.00457240i
\(745\) 7.11199 + 5.96767i 0.260563 + 0.218639i
\(746\) −28.9453 + 24.2880i −1.05976 + 0.889246i
\(747\) −3.24540 + 18.4056i −0.118743 + 0.673426i
\(748\) 8.31204 14.3969i 0.303918 0.526402i
\(749\) −12.2057 21.1409i −0.445986 0.772471i
\(750\) 0.0339642 0.0123619i 0.00124020 0.000451394i
\(751\) −33.6285 + 12.2398i −1.22712 + 0.446636i −0.872611 0.488416i \(-0.837575\pi\)
−0.354511 + 0.935052i \(0.615353\pi\)
\(752\) −6.24632 10.8189i −0.227780 0.394526i
\(753\) 0.228948 0.396550i 0.00834334 0.0144511i
\(754\) −1.37199 + 7.78093i −0.0499648 + 0.283365i
\(755\) −2.56296 + 2.15058i −0.0932755 + 0.0782674i
\(756\) −0.305177 0.256074i −0.0110992 0.00931333i
\(757\) −8.66613 49.1480i −0.314976 1.78632i −0.572355 0.820006i \(-0.693970\pi\)
0.257380 0.966310i \(-0.417141\pi\)
\(758\) −30.3204 11.0357i −1.10128 0.400835i
\(759\) −0.144460 −0.00524355
\(760\) −3.98437 1.76770i −0.144528 0.0641212i
\(761\) −36.2563 −1.31429 −0.657145 0.753764i \(-0.728236\pi\)
−0.657145 + 0.753764i \(0.728236\pi\)
\(762\) 0.441052 + 0.160530i 0.0159776 + 0.00581538i
\(763\) 0.460702 + 2.61277i 0.0166785 + 0.0945886i
\(764\) −15.7392 13.2067i −0.569423 0.477803i
\(765\) −15.4872 + 12.9953i −0.559942 + 0.469847i
\(766\) 3.78204 21.4490i 0.136651 0.774984i
\(767\) 5.68833 9.85247i 0.205394 0.355752i
\(768\) −0.0180720 0.0313015i −0.000652116 0.00112950i
\(769\) 5.18278 1.88638i 0.186896 0.0680246i −0.246877 0.969047i \(-0.579404\pi\)
0.433773 + 0.901022i \(0.357182\pi\)
\(770\) −4.25738 + 1.54956i −0.153425 + 0.0558422i
\(771\) 0.235745 + 0.408322i 0.00849014 + 0.0147054i