Properties

Label 384.2.v.a.13.1
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.1
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40051 - 0.196427i) q^{2} +(0.290285 + 0.956940i) q^{3} +(1.92283 + 0.550195i) q^{4} +(0.0502132 + 0.509823i) q^{5} +(-0.218576 - 1.39722i) q^{6} +(-1.66106 + 2.48595i) q^{7} +(-2.58487 - 1.14825i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-1.40051 - 0.196427i) q^{2} +(0.290285 + 0.956940i) q^{3} +(1.92283 + 0.550195i) q^{4} +(0.0502132 + 0.509823i) q^{5} +(-0.218576 - 1.39722i) q^{6} +(-1.66106 + 2.48595i) q^{7} +(-2.58487 - 1.14825i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(0.0298193 - 0.723874i) q^{10} +(-2.39179 + 1.27844i) q^{11} +(0.0316653 + 1.99975i) q^{12} +(-0.147254 - 0.0145033i) q^{13} +(2.81463 - 3.15532i) q^{14} +(-0.473294 + 0.196045i) q^{15} +(3.39457 + 2.11586i) q^{16} +(-5.02760 - 2.08250i) q^{17} +(1.27361 - 0.614756i) q^{18} +(-0.869829 + 0.713850i) q^{19} +(-0.183951 + 1.00793i) q^{20} +(-2.86109 - 0.867902i) q^{21} +(3.60084 - 1.32065i) q^{22} +(-0.0792843 + 0.398589i) q^{23} +(0.348458 - 2.80688i) q^{24} +(4.64653 - 0.924252i) q^{25} +(0.203382 + 0.0492367i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(-4.56170 + 3.86617i) q^{28} +(1.28926 - 2.41204i) q^{29} +(0.701360 - 0.181594i) q^{30} +(-3.00006 + 3.00006i) q^{31} +(-4.33850 - 3.63007i) q^{32} +(-1.91769 - 1.91769i) q^{33} +(6.63212 + 3.90411i) q^{34} +(-1.35080 - 0.722020i) q^{35} +(-1.90445 + 0.610798i) q^{36} +(-5.49304 + 6.69329i) q^{37} +(1.35842 - 0.828893i) q^{38} +(-0.0288669 - 0.145124i) q^{39} +(0.455609 - 1.37548i) q^{40} +(-7.61357 - 1.51443i) q^{41} +(3.83649 + 1.77750i) q^{42} +(-1.01220 + 3.33679i) q^{43} +(-5.30241 + 1.14227i) q^{44} +(-0.324993 - 0.396006i) q^{45} +(0.189332 - 0.542652i) q^{46} +(-3.94790 + 9.53108i) q^{47} +(-1.03936 + 3.86261i) q^{48} +(-0.742058 - 1.79149i) q^{49} +(-6.68904 + 0.381716i) q^{50} +(0.533393 - 5.41563i) q^{51} +(-0.275166 - 0.108906i) q^{52} +(4.05063 + 7.57820i) q^{53} +(0.957994 + 1.04031i) q^{54} +(-0.771878 - 1.15520i) q^{55} +(7.14811 - 4.51855i) q^{56} +(-0.935610 - 0.625154i) q^{57} +(-2.27941 + 3.12483i) q^{58} +(6.40642 - 0.630977i) q^{59} +(-1.01793 + 0.116558i) q^{60} +(9.35612 - 2.83815i) q^{61} +(4.79090 - 3.61231i) q^{62} -2.98983i q^{63} +(5.36306 + 5.93613i) q^{64} -0.0758019i q^{65} +(2.30905 + 3.06243i) q^{66} +(-0.0861833 + 0.0261434i) q^{67} +(-8.52145 - 6.77046i) q^{68} +(-0.404441 + 0.0398339i) q^{69} +(1.74999 + 1.27653i) q^{70} +(8.16418 + 5.45513i) q^{71} +(2.78717 - 0.481341i) q^{72} +(-9.01176 - 13.4871i) q^{73} +(9.00778 - 8.29501i) q^{74} +(2.23327 + 4.17815i) q^{75} +(-2.06529 + 0.894039i) q^{76} +(0.794772 - 8.06946i) q^{77} +(0.0119220 + 0.208917i) q^{78} +(1.41245 + 3.40995i) q^{79} +(-0.908265 + 1.83688i) q^{80} +(0.382683 - 0.923880i) q^{81} +(10.3654 + 3.61648i) q^{82} +(2.88556 + 3.51607i) q^{83} +(-5.02388 - 3.24299i) q^{84} +(0.809255 - 2.66776i) q^{85} +(2.07303 - 4.47437i) q^{86} +(2.68243 + 0.533569i) q^{87} +(7.65043 - 0.558225i) q^{88} +(-0.951785 - 4.78495i) q^{89} +(0.377369 + 0.618446i) q^{90} +(0.280653 - 0.341977i) q^{91} +(-0.371752 + 0.722798i) q^{92} +(-3.74175 - 2.00001i) q^{93} +(7.40122 - 12.5729i) q^{94} +(-0.407614 - 0.407614i) q^{95} +(2.21436 - 5.20544i) q^{96} +(8.57980 - 8.57980i) q^{97} +(0.687360 + 2.65475i) q^{98} +(1.27844 - 2.39179i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40051 0.196427i −0.990307 0.138895i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) 1.92283 + 0.550195i 0.961416 + 0.275097i
\(5\) 0.0502132 + 0.509823i 0.0224560 + 0.228000i 0.999862 + 0.0166280i \(0.00529312\pi\)
−0.977406 + 0.211372i \(0.932207\pi\)
\(6\) −0.218576 1.39722i −0.0892334 0.570413i
\(7\) −1.66106 + 2.48595i −0.627822 + 0.939602i 0.372113 + 0.928188i \(0.378633\pi\)
−0.999935 + 0.0114147i \(0.996367\pi\)
\(8\) −2.58487 1.14825i −0.913888 0.405967i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 0.0298193 0.723874i 0.00942968 0.228909i
\(11\) −2.39179 + 1.27844i −0.721153 + 0.385464i −0.790773 0.612109i \(-0.790321\pi\)
0.0696203 + 0.997574i \(0.477821\pi\)
\(12\) 0.0316653 + 1.99975i 0.00914100 + 0.577278i
\(13\) −0.147254 0.0145033i −0.0408410 0.00402249i 0.0775760 0.996986i \(-0.475282\pi\)
−0.118417 + 0.992964i \(0.537782\pi\)
\(14\) 2.81463 3.15532i 0.752243 0.843293i
\(15\) −0.473294 + 0.196045i −0.122204 + 0.0506186i
\(16\) 3.39457 + 2.11586i 0.848643 + 0.528966i
\(17\) −5.02760 2.08250i −1.21937 0.505080i −0.322162 0.946685i \(-0.604409\pi\)
−0.897210 + 0.441604i \(0.854409\pi\)
\(18\) 1.27361 0.614756i 0.300192 0.144899i
\(19\) −0.869829 + 0.713850i −0.199552 + 0.163768i −0.728863 0.684660i \(-0.759951\pi\)
0.529310 + 0.848428i \(0.322451\pi\)
\(20\) −0.183951 + 1.00793i −0.0411326 + 0.225380i
\(21\) −2.86109 0.867902i −0.624341 0.189392i
\(22\) 3.60084 1.32065i 0.767702 0.281563i
\(23\) −0.0792843 + 0.398589i −0.0165319 + 0.0831115i −0.988170 0.153359i \(-0.950991\pi\)
0.971639 + 0.236471i \(0.0759908\pi\)
\(24\) 0.348458 2.80688i 0.0711286 0.572952i
\(25\) 4.64653 0.924252i 0.929306 0.184850i
\(26\) 0.203382 + 0.0492367i 0.0398864 + 0.00965611i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) −4.56170 + 3.86617i −0.862081 + 0.730637i
\(29\) 1.28926 2.41204i 0.239410 0.447905i −0.733307 0.679897i \(-0.762024\pi\)
0.972718 + 0.231992i \(0.0745244\pi\)
\(30\) 0.701360 0.181594i 0.128050 0.0331544i
\(31\) −3.00006 + 3.00006i −0.538827 + 0.538827i −0.923184 0.384358i \(-0.874423\pi\)
0.384358 + 0.923184i \(0.374423\pi\)
\(32\) −4.33850 3.63007i −0.766946 0.641711i
\(33\) −1.91769 1.91769i −0.333827 0.333827i
\(34\) 6.63212 + 3.90411i 1.13740 + 0.669549i
\(35\) −1.35080 0.722020i −0.228328 0.122044i
\(36\) −1.90445 + 0.610798i −0.317408 + 0.101800i
\(37\) −5.49304 + 6.69329i −0.903051 + 1.10037i 0.0914675 + 0.995808i \(0.470844\pi\)
−0.994518 + 0.104563i \(0.966656\pi\)
\(38\) 1.35842 0.828893i 0.220365 0.134464i
\(39\) −0.0288669 0.145124i −0.00462240 0.0232384i
\(40\) 0.455609 1.37548i 0.0720381 0.217483i
\(41\) −7.61357 1.51443i −1.18904 0.236515i −0.439357 0.898312i \(-0.644794\pi\)
−0.749682 + 0.661798i \(0.769794\pi\)
\(42\) 3.83649 + 1.77750i 0.591984 + 0.274274i
\(43\) −1.01220 + 3.33679i −0.154360 + 0.508855i −0.999677 0.0254088i \(-0.991911\pi\)
0.845318 + 0.534264i \(0.179411\pi\)
\(44\) −5.30241 + 1.14227i −0.799368 + 0.172204i
\(45\) −0.324993 0.396006i −0.0484472 0.0590330i
\(46\) 0.189332 0.542652i 0.0279154 0.0800097i
\(47\) −3.94790 + 9.53108i −0.575861 + 1.39025i 0.320637 + 0.947202i \(0.396103\pi\)
−0.896498 + 0.443048i \(0.853897\pi\)
\(48\) −1.03936 + 3.86261i −0.150019 + 0.557519i
\(49\) −0.742058 1.79149i −0.106008 0.255927i
\(50\) −6.68904 + 0.381716i −0.945973 + 0.0539828i
\(51\) 0.533393 5.41563i 0.0746899 0.758340i
\(52\) −0.275166 0.108906i −0.0381586 0.0151025i
\(53\) 4.05063 + 7.57820i 0.556397 + 1.04095i 0.990163 + 0.139920i \(0.0446845\pi\)
−0.433766 + 0.901026i \(0.642815\pi\)
\(54\) 0.957994 + 1.04031i 0.130366 + 0.141568i
\(55\) −0.771878 1.15520i −0.104080 0.155767i
\(56\) 7.14811 4.51855i 0.955206 0.603816i
\(57\) −0.935610 0.625154i −0.123925 0.0828037i
\(58\) −2.27941 + 3.12483i −0.299301 + 0.410311i
\(59\) 6.40642 0.630977i 0.834045 0.0821463i 0.328026 0.944669i \(-0.393617\pi\)
0.506019 + 0.862522i \(0.331117\pi\)
\(60\) −1.01793 + 0.116558i −0.131414 + 0.0150475i
\(61\) 9.35612 2.83815i 1.19793 0.363388i 0.372574 0.928003i \(-0.378475\pi\)
0.825354 + 0.564615i \(0.190975\pi\)
\(62\) 4.79090 3.61231i 0.608444 0.458764i
\(63\) 2.98983i 0.376683i
\(64\) 5.36306 + 5.93613i 0.670382 + 0.742016i
\(65\) 0.0758019i 0.00940207i
\(66\) 2.30905 + 3.06243i 0.284225 + 0.376958i
\(67\) −0.0861833 + 0.0261434i −0.0105290 + 0.00319393i −0.295545 0.955329i \(-0.595501\pi\)
0.285016 + 0.958523i \(0.408001\pi\)
\(68\) −8.52145 6.77046i −1.03338 0.821038i
\(69\) −0.404441 + 0.0398339i −0.0486889 + 0.00479544i
\(70\) 1.74999 + 1.27653i 0.209163 + 0.152574i
\(71\) 8.16418 + 5.45513i 0.968910 + 0.647405i 0.935980 0.352052i \(-0.114516\pi\)
0.0329301 + 0.999458i \(0.489516\pi\)
\(72\) 2.78717 0.481341i 0.328471 0.0567266i
\(73\) −9.01176 13.4871i −1.05475 1.57854i −0.788896 0.614527i \(-0.789347\pi\)
−0.265851 0.964014i \(-0.585653\pi\)
\(74\) 9.00778 8.29501i 1.04713 0.964276i
\(75\) 2.23327 + 4.17815i 0.257876 + 0.482452i
\(76\) −2.06529 + 0.894039i −0.236905 + 0.102553i
\(77\) 0.794772 8.06946i 0.0905727 0.919600i
\(78\) 0.0119220 + 0.208917i 0.00134990 + 0.0236552i
\(79\) 1.41245 + 3.40995i 0.158913 + 0.383650i 0.983202 0.182519i \(-0.0584251\pi\)
−0.824289 + 0.566169i \(0.808425\pi\)
\(80\) −0.908265 + 1.83688i −0.101547 + 0.205369i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) 10.3654 + 3.61648i 1.14466 + 0.399374i
\(83\) 2.88556 + 3.51607i 0.316732 + 0.385939i 0.906903 0.421339i \(-0.138440\pi\)
−0.590171 + 0.807278i \(0.700940\pi\)
\(84\) −5.02388 3.24299i −0.548151 0.353839i
\(85\) 0.809255 2.66776i 0.0877760 0.289359i
\(86\) 2.07303 4.47437i 0.223541 0.482483i
\(87\) 2.68243 + 0.533569i 0.287587 + 0.0572046i
\(88\) 7.65043 0.558225i 0.815538 0.0595070i
\(89\) −0.951785 4.78495i −0.100889 0.507203i −0.997876 0.0651459i \(-0.979249\pi\)
0.896987 0.442058i \(-0.145751\pi\)
\(90\) 0.377369 + 0.618446i 0.0397782 + 0.0651899i
\(91\) 0.280653 0.341977i 0.0294204 0.0358489i
\(92\) −0.371752 + 0.722798i −0.0387578 + 0.0753569i
\(93\) −3.74175 2.00001i −0.388001 0.207391i
\(94\) 7.40122 12.5729i 0.763378 1.29679i
\(95\) −0.407614 0.407614i −0.0418203 0.0418203i
\(96\) 2.21436 5.20544i 0.226002 0.531278i
\(97\) 8.57980 8.57980i 0.871146 0.871146i −0.121451 0.992597i \(-0.538755\pi\)
0.992597 + 0.121451i \(0.0387547\pi\)
\(98\) 0.687360 + 2.65475i 0.0694338 + 0.268170i
\(99\) 1.27844 2.39179i 0.128488 0.240384i
\(100\) 9.44301 + 0.779313i 0.944301 + 0.0779313i
\(101\) 9.89529 + 8.12085i 0.984618 + 0.808055i 0.981407 0.191940i \(-0.0614778\pi\)
0.00321143 + 0.999995i \(0.498978\pi\)
\(102\) −1.81080 + 7.47985i −0.179296 + 0.740615i
\(103\) −3.61428 + 0.718924i −0.356125 + 0.0708377i −0.369911 0.929067i \(-0.620612\pi\)
0.0137856 + 0.999905i \(0.495612\pi\)
\(104\) 0.363979 + 0.206573i 0.0356911 + 0.0202562i
\(105\) 0.298812 1.50223i 0.0291611 0.146603i
\(106\) −4.18437 11.4090i −0.406422 1.10814i
\(107\) 11.1233 + 3.37423i 1.07533 + 0.326199i 0.777799 0.628513i \(-0.216336\pi\)
0.297534 + 0.954711i \(0.403836\pi\)
\(108\) −1.13733 1.64514i −0.109440 0.158304i
\(109\) 10.2267 8.39283i 0.979539 0.803887i −0.00104218 0.999999i \(-0.500332\pi\)
0.980581 + 0.196112i \(0.0628317\pi\)
\(110\) 0.854108 + 1.76948i 0.0814360 + 0.168713i
\(111\) −7.99963 3.31355i −0.759291 0.314509i
\(112\) −10.8985 + 4.92417i −1.02981 + 0.465290i
\(113\) −8.86196 + 3.67075i −0.833663 + 0.345315i −0.758352 0.651845i \(-0.773995\pi\)
−0.0753116 + 0.997160i \(0.523995\pi\)
\(114\) 1.18753 + 1.05931i 0.111222 + 0.0992136i
\(115\) −0.207191 0.0204065i −0.0193207 0.00190292i
\(116\) 3.80613 3.92861i 0.353390 0.364762i
\(117\) 0.130495 0.0697511i 0.0120643 0.00644849i
\(118\) −9.09617 0.374708i −0.837370 0.0344946i
\(119\) 13.5281 9.03922i 1.24012 0.828624i
\(120\) 1.44851 + 0.0367093i 0.132230 + 0.00335109i
\(121\) −2.02501 + 3.03064i −0.184092 + 0.275512i
\(122\) −13.6608 + 2.13705i −1.23679 + 0.193479i
\(123\) −0.760880 7.72535i −0.0686063 0.696571i
\(124\) −7.41923 + 4.11800i −0.666267 + 0.369807i
\(125\) 1.44807 + 4.77365i 0.129520 + 0.426969i
\(126\) −0.587284 + 4.18728i −0.0523194 + 0.373032i
\(127\) −2.07680 −0.184287 −0.0921433 0.995746i \(-0.529372\pi\)
−0.0921433 + 0.995746i \(0.529372\pi\)
\(128\) −6.34497 9.36703i −0.560822 0.827937i
\(129\) −3.48693 −0.307007
\(130\) −0.0148896 + 0.106161i −0.00130590 + 0.00931094i
\(131\) 1.75926 + 5.79951i 0.153707 + 0.506705i 0.999647 0.0265737i \(-0.00845965\pi\)
−0.845940 + 0.533279i \(0.820960\pi\)
\(132\) −2.63230 4.74250i −0.229112 0.412782i
\(133\) −0.329759 3.34810i −0.0285938 0.290317i
\(134\) 0.125835 0.0196853i 0.0108705 0.00170055i
\(135\) 0.284613 0.425954i 0.0244956 0.0366603i
\(136\) 10.6044 + 11.1559i 0.909323 + 0.956611i
\(137\) −1.13927 + 0.761238i −0.0973346 + 0.0650369i −0.603285 0.797526i \(-0.706142\pi\)
0.505950 + 0.862563i \(0.331142\pi\)
\(138\) 0.574246 + 0.0236555i 0.0488831 + 0.00201369i
\(139\) 3.06940 1.64063i 0.260343 0.139156i −0.336062 0.941840i \(-0.609095\pi\)
0.596405 + 0.802683i \(0.296595\pi\)
\(140\) −2.20012 2.13153i −0.185944 0.180147i
\(141\) −10.2667 1.01118i −0.864611 0.0851567i
\(142\) −10.3625 9.24361i −0.869597 0.775707i
\(143\) 0.370743 0.153567i 0.0310031 0.0128419i
\(144\) −3.99799 + 0.126645i −0.333166 + 0.0105538i
\(145\) 1.29445 + 0.536180i 0.107499 + 0.0445274i
\(146\) 9.97180 + 20.6589i 0.825272 + 1.70974i
\(147\) 1.49894 1.23015i 0.123630 0.101461i
\(148\) −14.2448 + 9.84784i −1.17092 + 0.809487i
\(149\) 17.2561 + 5.23459i 1.41368 + 0.428835i 0.902518 0.430651i \(-0.141716\pi\)
0.511160 + 0.859486i \(0.329216\pi\)
\(150\) −2.30700 6.29020i −0.188366 0.513593i
\(151\) −3.05808 + 15.3740i −0.248863 + 1.25112i 0.630959 + 0.775816i \(0.282662\pi\)
−0.879822 + 0.475303i \(0.842338\pi\)
\(152\) 3.06807 0.846427i 0.248853 0.0686543i
\(153\) 5.33727 1.06165i 0.431493 0.0858292i
\(154\) −2.69814 + 11.1452i −0.217423 + 0.898106i
\(155\) −1.68014 1.37886i −0.134952 0.110753i
\(156\) 0.0243401 0.294931i 0.00194877 0.0236134i
\(157\) −1.35779 + 2.54024i −0.108363 + 0.202733i −0.930258 0.366906i \(-0.880417\pi\)
0.821895 + 0.569639i \(0.192917\pi\)
\(158\) −1.30833 5.05310i −0.104086 0.402003i
\(159\) −6.07605 + 6.07605i −0.481862 + 0.481862i
\(160\) 1.63284 2.39415i 0.129088 0.189274i
\(161\) −0.859178 0.859178i −0.0677127 0.0677127i
\(162\) −0.717425 + 1.21873i −0.0563663 + 0.0957524i
\(163\) 2.67403 + 1.42930i 0.209446 + 0.111951i 0.572785 0.819706i \(-0.305863\pi\)
−0.363338 + 0.931657i \(0.618363\pi\)
\(164\) −13.8064 7.10095i −1.07810 0.554491i
\(165\) 0.881391 1.07398i 0.0686162 0.0836090i
\(166\) −3.35060 5.49108i −0.260057 0.426190i
\(167\) 1.53457 + 7.71479i 0.118748 + 0.596988i 0.993634 + 0.112658i \(0.0359366\pi\)
−0.874885 + 0.484330i \(0.839063\pi\)
\(168\) 6.39897 + 5.52865i 0.493691 + 0.426545i
\(169\) −12.7287 2.53190i −0.979133 0.194762i
\(170\) −1.65739 + 3.57725i −0.127116 + 0.274362i
\(171\) 0.326642 1.07680i 0.0249790 0.0823446i
\(172\) −3.78218 + 5.85918i −0.288389 + 0.446758i
\(173\) 6.79195 + 8.27601i 0.516382 + 0.629214i 0.964284 0.264869i \(-0.0853287\pi\)
−0.447902 + 0.894083i \(0.647829\pi\)
\(174\) −3.65196 1.27417i −0.276854 0.0965946i
\(175\) −5.42052 + 13.0863i −0.409753 + 0.989231i
\(176\) −10.8241 0.720955i −0.815899 0.0543440i
\(177\) 2.46349 + 5.94740i 0.185168 + 0.447034i
\(178\) 0.393087 + 6.88830i 0.0294631 + 0.516300i
\(179\) 1.95098 19.8086i 0.145823 1.48057i −0.592200 0.805791i \(-0.701740\pi\)
0.738023 0.674776i \(-0.235760\pi\)
\(180\) −0.407028 0.940262i −0.0303381 0.0700830i
\(181\) −4.04506 7.56777i −0.300667 0.562508i 0.685538 0.728037i \(-0.259567\pi\)
−0.986205 + 0.165529i \(0.947067\pi\)
\(182\) −0.460230 + 0.423812i −0.0341145 + 0.0314151i
\(183\) 5.43188 + 8.12938i 0.401536 + 0.600941i
\(184\) 0.662618 0.939261i 0.0488488 0.0692432i
\(185\) −3.68822 2.46439i −0.271163 0.181186i
\(186\) 4.84749 + 3.53600i 0.355435 + 0.259272i
\(187\) 14.6873 1.44658i 1.07404 0.105784i
\(188\) −12.8351 + 16.1545i −0.936096 + 1.17819i
\(189\) 2.86109 0.867902i 0.208114 0.0631306i
\(190\) 0.490800 + 0.650933i 0.0356063 + 0.0472236i
\(191\) 6.28243i 0.454580i −0.973827 0.227290i \(-0.927013\pi\)
0.973827 0.227290i \(-0.0729866\pi\)
\(192\) −4.12371 + 6.85529i −0.297603 + 0.494738i
\(193\) 18.0651i 1.30035i 0.759783 + 0.650177i \(0.225305\pi\)
−0.759783 + 0.650177i \(0.774695\pi\)
\(194\) −13.7014 + 10.3307i −0.983700 + 0.741705i
\(195\) 0.0725379 0.0220041i 0.00519455 0.00157575i
\(196\) −0.441187 3.85301i −0.0315134 0.275215i
\(197\) −13.8191 + 1.36106i −0.984569 + 0.0969716i −0.577469 0.816412i \(-0.695960\pi\)
−0.407099 + 0.913384i \(0.633460\pi\)
\(198\) −2.26028 + 3.09860i −0.160631 + 0.220208i
\(199\) −8.82304 5.89537i −0.625449 0.417912i 0.202053 0.979375i \(-0.435239\pi\)
−0.827502 + 0.561463i \(0.810239\pi\)
\(200\) −13.0719 2.94630i −0.924324 0.208335i
\(201\) −0.0500354 0.0748832i −0.00352922 0.00528185i
\(202\) −12.2633 13.3170i −0.862840 0.936981i
\(203\) 3.85468 + 7.21160i 0.270546 + 0.506155i
\(204\) 4.00528 10.1199i 0.280425 0.708533i
\(205\) 0.389792 3.95762i 0.0272242 0.276412i
\(206\) 5.20303 0.296916i 0.362512 0.0206871i
\(207\) −0.155522 0.375463i −0.0108095 0.0260964i
\(208\) −0.469178 0.360803i −0.0325317 0.0250172i
\(209\) 1.16784 2.81941i 0.0807809 0.195022i
\(210\) −0.713567 + 2.04519i −0.0492408 + 0.141131i
\(211\) −15.2896 18.6304i −1.05258 1.28257i −0.957912 0.287062i \(-0.907322\pi\)
−0.0946664 0.995509i \(-0.530178\pi\)
\(212\) 3.61920 + 16.8002i 0.248568 + 1.15385i
\(213\) −2.85030 + 9.39618i −0.195299 + 0.643816i
\(214\) −14.9155 6.91055i −1.01960 0.472395i
\(215\) −1.75200 0.348494i −0.119485 0.0237671i
\(216\) 1.26969 + 2.52743i 0.0863913 + 0.171970i
\(217\) −2.47473 12.4413i −0.167995 0.844570i
\(218\) −15.9711 + 9.74540i −1.08170 + 0.660042i
\(219\) 10.2903 12.5388i 0.695356 0.847294i
\(220\) −0.848609 2.64593i −0.0572132 0.178389i
\(221\) 0.710132 + 0.379574i 0.0477687 + 0.0255329i
\(222\) 10.5527 + 6.21200i 0.708248 + 0.416922i
\(223\) 2.27947 + 2.27947i 0.152644 + 0.152644i 0.779298 0.626654i \(-0.215576\pi\)
−0.626654 + 0.779298i \(0.715576\pi\)
\(224\) 16.2307 4.75556i 1.08446 0.317744i
\(225\) −3.34996 + 3.34996i −0.223331 + 0.223331i
\(226\) 13.1323 3.40017i 0.873545 0.226176i
\(227\) 2.19377 4.10425i 0.145606 0.272409i −0.798537 0.601945i \(-0.794392\pi\)
0.944143 + 0.329536i \(0.106892\pi\)
\(228\) −1.45506 1.71683i −0.0963640 0.113700i
\(229\) 7.22832 + 5.93213i 0.477661 + 0.392006i 0.842186 0.539187i \(-0.181269\pi\)
−0.364525 + 0.931194i \(0.618769\pi\)
\(230\) 0.286164 + 0.0692774i 0.0188691 + 0.00456802i
\(231\) 7.95270 1.58189i 0.523249 0.104081i
\(232\) −6.10219 + 4.75441i −0.400629 + 0.312142i
\(233\) −2.22656 + 11.1937i −0.145867 + 0.733321i 0.836737 + 0.547605i \(0.184460\pi\)
−0.982604 + 0.185716i \(0.940540\pi\)
\(234\) −0.196460 + 0.0720540i −0.0128430 + 0.00471032i
\(235\) −5.05740 1.53415i −0.329909 0.100077i
\(236\) 12.6656 + 2.31152i 0.824463 + 0.150467i
\(237\) −2.85311 + 2.34149i −0.185329 + 0.152096i
\(238\) −20.7218 + 10.0022i −1.34319 + 0.648345i
\(239\) −27.4028 11.3506i −1.77254 0.734211i −0.994346 0.106190i \(-0.966135\pi\)
−0.778196 0.628021i \(-0.783865\pi\)
\(240\) −2.02144 0.335938i −0.130483 0.0216847i
\(241\) 27.3100 11.3122i 1.75919 0.728680i 0.762536 0.646946i \(-0.223954\pi\)
0.996654 0.0817347i \(-0.0260460\pi\)
\(242\) 3.43133 3.84666i 0.220574 0.247273i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) 19.5518 0.309596i 1.25167 0.0198198i
\(245\) 0.876081 0.468275i 0.0559707 0.0299170i
\(246\) −0.451851 + 10.9689i −0.0288090 + 0.699348i
\(247\) 0.138439 0.0925021i 0.00880867 0.00588577i
\(248\) 11.1996 4.30994i 0.711173 0.273681i
\(249\) −2.52703 + 3.78197i −0.160144 + 0.239673i
\(250\) −1.09036 6.96997i −0.0689603 0.440820i
\(251\) 1.99883 + 20.2945i 0.126165 + 1.28098i 0.824770 + 0.565469i \(0.191305\pi\)
−0.698604 + 0.715508i \(0.746195\pi\)
\(252\) 1.64499 5.74895i 0.103625 0.362150i
\(253\) −0.319940 1.05470i −0.0201145 0.0663086i
\(254\) 2.90858 + 0.407941i 0.182500 + 0.0255965i
\(255\) 2.78780 0.174579
\(256\) 7.04623 + 14.3649i 0.440389 + 0.897807i
\(257\) 19.6514 1.22582 0.612912 0.790152i \(-0.289998\pi\)
0.612912 + 0.790152i \(0.289998\pi\)
\(258\) 4.88347 + 0.684929i 0.304032 + 0.0426418i
\(259\) −7.51494 24.7734i −0.466955 1.53935i
\(260\) 0.0417058 0.145754i 0.00258649 0.00903931i
\(261\) 0.268076 + 2.72182i 0.0165935 + 0.168476i
\(262\) −1.32467 8.46781i −0.0818387 0.523143i
\(263\) 2.51887 3.76975i 0.155320 0.232453i −0.745646 0.666342i \(-0.767859\pi\)
0.900966 + 0.433889i \(0.142859\pi\)
\(264\) 2.75499 + 7.15896i 0.169558 + 0.440604i
\(265\) −3.66015 + 2.44563i −0.224841 + 0.150234i
\(266\) −0.195828 + 4.75381i −0.0120070 + 0.291475i
\(267\) 4.30262 2.29980i 0.263316 0.140745i
\(268\) −0.180100 + 0.00285182i −0.0110014 + 0.000174203i
\(269\) 7.60881 + 0.749403i 0.463917 + 0.0456919i 0.327276 0.944929i \(-0.393869\pi\)
0.136641 + 0.990621i \(0.456369\pi\)
\(270\) −0.482271 + 0.540645i −0.0293501 + 0.0329026i
\(271\) −16.4337 + 6.80706i −0.998276 + 0.413500i −0.821165 0.570691i \(-0.806675\pi\)
−0.177111 + 0.984191i \(0.556675\pi\)
\(272\) −12.6603 17.7069i −0.767641 1.07364i
\(273\) 0.408720 + 0.169298i 0.0247369 + 0.0102464i
\(274\) 1.74509 0.842334i 0.105424 0.0508872i
\(275\) −9.93193 + 8.15093i −0.598918 + 0.491519i
\(276\) −0.799588 0.145927i −0.0481296 0.00878378i
\(277\) −8.22516 2.49508i −0.494202 0.149915i 0.0333390 0.999444i \(-0.489386\pi\)
−0.527541 + 0.849530i \(0.676886\pi\)
\(278\) −4.62098 + 1.69480i −0.277148 + 0.101647i
\(279\) 0.827715 4.16120i 0.0495540 0.249125i
\(280\) 2.66259 + 3.41738i 0.159120 + 0.204228i
\(281\) −0.485545 + 0.0965810i −0.0289652 + 0.00576154i −0.209552 0.977798i \(-0.567200\pi\)
0.180586 + 0.983559i \(0.442200\pi\)
\(282\) 14.1799 + 3.43282i 0.844402 + 0.204421i
\(283\) −21.2114 17.4078i −1.26089 1.03479i −0.997541 0.0700842i \(-0.977673\pi\)
−0.263348 0.964701i \(-0.584827\pi\)
\(284\) 12.6970 + 14.9812i 0.753427 + 0.888971i
\(285\) 0.271738 0.508387i 0.0160964 0.0301142i
\(286\) −0.549393 + 0.142247i −0.0324863 + 0.00841126i
\(287\) 16.4114 16.4114i 0.968735 0.968735i
\(288\) 5.62409 + 0.607947i 0.331403 + 0.0358236i
\(289\) 8.91912 + 8.91912i 0.524654 + 0.524654i
\(290\) −1.70757 1.00519i −0.100272 0.0590268i
\(291\) 10.7009 + 5.71977i 0.627300 + 0.335299i
\(292\) −9.90761 30.8916i −0.579799 1.80779i
\(293\) −19.0785 + 23.2472i −1.11458 + 1.35812i −0.187931 + 0.982182i \(0.560178\pi\)
−0.926646 + 0.375934i \(0.877322\pi\)
\(294\) −2.34091 + 1.42840i −0.136524 + 0.0833057i
\(295\) 0.643374 + 3.23446i 0.0374587 + 0.188318i
\(296\) 21.8843 10.9939i 1.27200 0.639007i
\(297\) 2.65992 + 0.529090i 0.154344 + 0.0307009i
\(298\) −23.1391 10.7207i −1.34041 0.621031i
\(299\) 0.0174558 0.0575440i 0.00100949 0.00332786i
\(300\) 1.99541 + 9.26262i 0.115205 + 0.534778i
\(301\) −6.61377 8.05890i −0.381211 0.464507i
\(302\) 7.30273 20.9307i 0.420225 1.20443i
\(303\) −4.89872 + 11.8266i −0.281424 + 0.679418i
\(304\) −4.46311 + 0.582775i −0.255977 + 0.0334244i
\(305\) 1.91675 + 4.62746i 0.109753 + 0.264967i
\(306\) −7.68341 + 0.438461i −0.439231 + 0.0250651i
\(307\) 2.22751 22.6163i 0.127131 1.29078i −0.693972 0.720002i \(-0.744141\pi\)
0.821103 0.570780i \(-0.193359\pi\)
\(308\) 5.96799 15.0789i 0.340058 0.859202i
\(309\) −1.73714 3.24995i −0.0988223 0.184883i
\(310\) 2.08221 + 2.26112i 0.118261 + 0.128423i
\(311\) −14.7868 22.1300i −0.838482 1.25488i −0.964826 0.262890i \(-0.915324\pi\)
0.126344 0.991987i \(-0.459676\pi\)
\(312\) −0.0920209 + 0.408271i −0.00520966 + 0.0231138i
\(313\) 19.9198 + 13.3100i 1.12594 + 0.752326i 0.971819 0.235727i \(-0.0757471\pi\)
0.154116 + 0.988053i \(0.450747\pi\)
\(314\) 2.40056 3.29091i 0.135471 0.185717i
\(315\) 1.52429 0.150129i 0.0858838 0.00845881i
\(316\) 0.839764 + 7.33389i 0.0472404 + 0.412563i
\(317\) 2.65592 0.805665i 0.149171 0.0452506i −0.214816 0.976655i \(-0.568915\pi\)
0.363987 + 0.931404i \(0.381415\pi\)
\(318\) 9.70304 7.31604i 0.544120 0.410263i
\(319\) 7.41735i 0.415292i
\(320\) −2.75708 + 3.03228i −0.154126 + 0.169510i
\(321\) 11.6239i 0.648780i
\(322\) 1.03452 + 1.37205i 0.0576514 + 0.0764613i
\(323\) 5.85974 1.77753i 0.326045 0.0989046i
\(324\) 1.24415 1.56592i 0.0691194 0.0869953i
\(325\) −0.697626 + 0.0687102i −0.0386973 + 0.00381135i
\(326\) −3.46424 2.52700i −0.191867 0.139957i
\(327\) 11.0001 + 7.35002i 0.608306 + 0.406457i
\(328\) 17.9411 + 12.6569i 0.990632 + 0.698859i
\(329\) −17.1361 25.6460i −0.944744 1.41391i
\(330\) −1.44535 + 1.33098i −0.0795640 + 0.0732682i
\(331\) 15.0899 + 28.2312i 0.829415 + 1.55173i 0.834018 + 0.551737i \(0.186035\pi\)
−0.00460341 + 0.999989i \(0.501465\pi\)
\(332\) 3.61393 + 8.34844i 0.198340 + 0.458180i
\(333\) 0.848704 8.61704i 0.0465087 0.472211i
\(334\) −0.633776 11.1060i −0.0346787 0.607695i
\(335\) −0.0176561 0.0426255i −0.000964654 0.00232888i
\(336\) −7.87581 8.99984i −0.429661 0.490981i
\(337\) 7.80189 18.8354i 0.424996 1.02603i −0.555856 0.831279i \(-0.687609\pi\)
0.980852 0.194753i \(-0.0623906\pi\)
\(338\) 17.3293 + 6.04621i 0.942591 + 0.328871i
\(339\) −6.08518 7.41481i −0.330501 0.402717i
\(340\) 3.02385 4.68440i 0.163991 0.254047i
\(341\) 3.34013 11.0109i 0.180878 0.596275i
\(342\) −0.668976 + 1.44390i −0.0361741 + 0.0780770i
\(343\) −14.8405 2.95196i −0.801313 0.159391i
\(344\) 6.44787 7.46289i 0.347646 0.402372i
\(345\) −0.0406165 0.204193i −0.00218672 0.0109934i
\(346\) −7.88653 12.9247i −0.423982 0.694838i
\(347\) −2.14065 + 2.60839i −0.114916 + 0.140026i −0.827291 0.561773i \(-0.810119\pi\)
0.712375 + 0.701799i \(0.247619\pi\)
\(348\) 4.86431 + 2.50183i 0.260754 + 0.134112i
\(349\) 32.5854 + 17.4172i 1.74425 + 0.932323i 0.942185 + 0.335092i \(0.108767\pi\)
0.802069 + 0.597231i \(0.203733\pi\)
\(350\) 10.1620 17.2627i 0.543180 0.922730i
\(351\) 0.104628 + 0.104628i 0.00558465 + 0.00558465i
\(352\) 15.0176 + 3.13585i 0.800442 + 0.167142i
\(353\) −15.2255 + 15.2255i −0.810369 + 0.810369i −0.984689 0.174320i \(-0.944227\pi\)
0.174320 + 0.984689i \(0.444227\pi\)
\(354\) −2.28191 8.81326i −0.121282 0.468420i
\(355\) −2.37120 + 4.43621i −0.125850 + 0.235450i
\(356\) 0.802529 9.72432i 0.0425340 0.515388i
\(357\) 12.5770 + 10.3217i 0.665646 + 0.546281i
\(358\) −6.62331 + 27.3589i −0.350053 + 1.44596i
\(359\) 19.6434 3.90731i 1.03674 0.206220i 0.352753 0.935717i \(-0.385246\pi\)
0.683984 + 0.729497i \(0.260246\pi\)
\(360\) 0.385352 + 1.39679i 0.0203098 + 0.0736175i
\(361\) −3.45970 + 17.3931i −0.182089 + 0.915425i
\(362\) 4.17861 + 11.3933i 0.219623 + 0.598817i
\(363\) −3.48797 1.05806i −0.183071 0.0555339i
\(364\) 0.727802 0.503150i 0.0381472 0.0263722i
\(365\) 6.42351 5.27164i 0.336222 0.275930i
\(366\) −6.01054 12.4522i −0.314176 0.650887i
\(367\) −14.9745 6.20265i −0.781663 0.323776i −0.0440769 0.999028i \(-0.514035\pi\)
−0.737587 + 0.675253i \(0.764035\pi\)
\(368\) −1.11250 + 1.18528i −0.0579929 + 0.0617872i
\(369\) 7.17183 2.97067i 0.373350 0.154647i
\(370\) 4.68130 + 4.17586i 0.243369 + 0.217093i
\(371\) −25.5674 2.51817i −1.32739 0.130737i
\(372\) −6.09437 5.90437i −0.315978 0.306127i
\(373\) 9.22636 4.93159i 0.477723 0.255348i −0.214916 0.976632i \(-0.568948\pi\)
0.692639 + 0.721284i \(0.256448\pi\)
\(374\) −20.8538 0.859053i −1.07833 0.0444206i
\(375\) −4.14775 + 2.77144i −0.214189 + 0.143116i
\(376\) 21.1488 20.1034i 1.09067 1.03675i
\(377\) −0.224832 + 0.336485i −0.0115794 + 0.0173299i
\(378\) −4.17745 + 0.653506i −0.214865 + 0.0336127i
\(379\) 1.56505 + 15.8902i 0.0803913 + 0.816227i 0.947850 + 0.318717i \(0.103252\pi\)
−0.867458 + 0.497510i \(0.834248\pi\)
\(380\) −0.559507 1.00804i −0.0287021 0.0517114i
\(381\) −0.602864 1.98738i −0.0308857 0.101816i
\(382\) −1.23404 + 8.79857i −0.0631389 + 0.450174i
\(383\) 7.45038 0.380697 0.190348 0.981717i \(-0.439038\pi\)
0.190348 + 0.981717i \(0.439038\pi\)
\(384\) 7.12184 8.79087i 0.363435 0.448607i
\(385\) 4.15390 0.211703
\(386\) 3.54848 25.3003i 0.180613 1.28775i
\(387\) −1.01220 3.33679i −0.0514532 0.169618i
\(388\) 21.2181 11.7770i 1.07718 0.597884i
\(389\) 1.69928 + 17.2531i 0.0861571 + 0.874768i 0.936996 + 0.349341i \(0.113594\pi\)
−0.850839 + 0.525427i \(0.823906\pi\)
\(390\) −0.105912 + 0.0165685i −0.00536306 + 0.000838979i
\(391\) 1.22867 1.83884i 0.0621365 0.0929939i
\(392\) −0.138950 + 5.48282i −0.00701804 + 0.276924i
\(393\) −5.03909 + 3.36702i −0.254189 + 0.169843i
\(394\) 19.6211 + 0.808270i 0.988494 + 0.0407200i
\(395\) −1.66755 + 0.891324i −0.0839035 + 0.0448474i
\(396\) 3.77418 3.89563i 0.189660 0.195763i
\(397\) −7.21767 0.710878i −0.362244 0.0356780i −0.0847420 0.996403i \(-0.527007\pi\)
−0.277502 + 0.960725i \(0.589507\pi\)
\(398\) 11.1987 + 9.98958i 0.561341 + 0.500733i
\(399\) 3.10821 1.28746i 0.155605 0.0644538i
\(400\) 17.7286 + 6.69399i 0.886428 + 0.334699i
\(401\) −21.2668 8.80899i −1.06201 0.439900i −0.217847 0.975983i \(-0.569903\pi\)
−0.844165 + 0.536083i \(0.819903\pi\)
\(402\) 0.0553657 + 0.114703i 0.00276139 + 0.00572085i
\(403\) 0.485283 0.398261i 0.0241736 0.0198388i
\(404\) 14.5589 + 21.0594i 0.724334 + 1.04774i
\(405\) 0.490231 + 0.148710i 0.0243598 + 0.00738946i
\(406\) −3.98195 10.8571i −0.197621 0.538826i
\(407\) 4.58125 23.0315i 0.227084 1.14163i
\(408\) −7.59723 + 13.3862i −0.376119 + 0.662716i
\(409\) −26.8970 + 5.35014i −1.32997 + 0.264548i −0.808386 0.588652i \(-0.799659\pi\)
−0.521584 + 0.853200i \(0.674659\pi\)
\(410\) −1.32329 + 5.46610i −0.0653526 + 0.269952i
\(411\) −1.05917 0.869240i −0.0522451 0.0428765i
\(412\) −7.34520 0.606185i −0.361872 0.0298646i
\(413\) −9.07288 + 16.9742i −0.446447 + 0.835244i
\(414\) 0.144058 + 0.556386i 0.00708006 + 0.0273449i
\(415\) −1.64768 + 1.64768i −0.0808815 + 0.0808815i
\(416\) 0.586215 + 0.597466i 0.0287416 + 0.0292932i
\(417\) 2.46099 + 2.46099i 0.120515 + 0.120515i
\(418\) −2.18937 + 3.71920i −0.107086 + 0.181912i
\(419\) 20.7454 + 11.0887i 1.01348 + 0.541716i 0.892552 0.450945i \(-0.148913\pi\)
0.120928 + 0.992661i \(0.461413\pi\)
\(420\) 1.40109 2.72413i 0.0683660 0.132924i
\(421\) −19.0562 + 23.2201i −0.928744 + 1.13168i 0.0622891 + 0.998058i \(0.480160\pi\)
−0.991033 + 0.133619i \(0.957340\pi\)
\(422\) 17.7536 + 29.0953i 0.864233 + 1.41634i
\(423\) −2.01262 10.1181i −0.0978570 0.491961i
\(424\) −1.76869 24.2398i −0.0858951 1.17719i
\(425\) −25.2856 5.02962i −1.22653 0.243973i
\(426\) 5.83753 12.5995i 0.282829 0.610449i
\(427\) −8.48558 + 27.9732i −0.410646 + 1.35372i
\(428\) 19.5318 + 12.6081i 0.944107 + 0.609434i
\(429\) 0.254576 + 0.310201i 0.0122910 + 0.0149767i
\(430\) 2.38523 + 0.832208i 0.115026 + 0.0401326i
\(431\) −6.47070 + 15.6217i −0.311683 + 0.752469i 0.687960 + 0.725748i \(0.258506\pi\)
−0.999643 + 0.0267203i \(0.991494\pi\)
\(432\) −1.28175 3.78908i −0.0616682 0.182302i
\(433\) −0.102501 0.247460i −0.00492590 0.0118922i 0.921397 0.388622i \(-0.127049\pi\)
−0.926323 + 0.376729i \(0.877049\pi\)
\(434\) 1.02206 + 17.9102i 0.0490605 + 0.859718i
\(435\) −0.137332 + 1.39436i −0.00658459 + 0.0668544i
\(436\) 24.2819 10.5113i 1.16289 0.503402i
\(437\) −0.215569 0.403301i −0.0103121 0.0192925i
\(438\) −16.8746 + 15.5394i −0.806301 + 0.742500i
\(439\) −13.6537 20.4341i −0.651653 0.975268i −0.999291 0.0376393i \(-0.988016\pi\)
0.347638 0.937629i \(-0.386984\pi\)
\(440\) 0.668749 + 3.87234i 0.0318813 + 0.184606i
\(441\) 1.61230 + 1.07730i 0.0767760 + 0.0513001i
\(442\) −0.919986 0.671084i −0.0437593 0.0319202i
\(443\) −14.2573 + 1.40423i −0.677387 + 0.0667168i −0.430860 0.902419i \(-0.641790\pi\)
−0.246527 + 0.969136i \(0.579290\pi\)
\(444\) −13.5588 10.7728i −0.643474 0.511253i
\(445\) 2.39169 0.725510i 0.113377 0.0343925i
\(446\) −2.74466 3.64015i −0.129963 0.172366i
\(447\) 18.0326i 0.852914i
\(448\) −23.6653 + 3.47203i −1.11808 + 0.164038i
\(449\) 14.8920i 0.702796i 0.936226 + 0.351398i \(0.114294\pi\)
−0.936226 + 0.351398i \(0.885706\pi\)
\(450\) 5.34966 4.03362i 0.252185 0.190146i
\(451\) 20.1462 6.11128i 0.948647 0.287769i
\(452\) −19.0597 + 2.18242i −0.896493 + 0.102653i
\(453\) −15.5997 + 1.53644i −0.732939 + 0.0721882i
\(454\) −3.87857 + 5.31712i −0.182031 + 0.249545i
\(455\) 0.188440 + 0.125912i 0.00883421 + 0.00590283i
\(456\) 1.70059 + 2.69025i 0.0796376 + 0.125983i
\(457\) 17.5403 + 26.2509i 0.820499 + 1.22796i 0.970935 + 0.239343i \(0.0769322\pi\)
−0.150436 + 0.988620i \(0.548068\pi\)
\(458\) −8.95808 9.72782i −0.418583 0.454551i
\(459\) 2.56526 + 4.79927i 0.119736 + 0.224011i
\(460\) −0.387166 0.153234i −0.0180517 0.00714456i
\(461\) 3.05147 30.9821i 0.142121 1.44298i −0.614391 0.789002i \(-0.710598\pi\)
0.756512 0.653980i \(-0.226902\pi\)
\(462\) −11.4485 + 0.653320i −0.532634 + 0.0303952i
\(463\) −3.53033 8.52297i −0.164068 0.396096i 0.820368 0.571835i \(-0.193768\pi\)
−0.984437 + 0.175739i \(0.943768\pi\)
\(464\) 9.48005 5.45994i 0.440100 0.253472i
\(465\) 0.831765 2.00806i 0.0385722 0.0931215i
\(466\) 5.31704 15.2394i 0.246307 0.705953i
\(467\) −2.78337 3.39155i −0.128799 0.156942i 0.704618 0.709587i \(-0.251119\pi\)
−0.833417 + 0.552645i \(0.813619\pi\)
\(468\) 0.289297 0.0623219i 0.0133728 0.00288083i
\(469\) 0.0781644 0.257673i 0.00360930 0.0118983i
\(470\) 6.78157 + 3.14199i 0.312811 + 0.144929i
\(471\) −2.82500 0.561928i −0.130169 0.0258923i
\(472\) −17.2843 5.72517i −0.795572 0.263522i
\(473\) −1.84490 9.27495i −0.0848287 0.426463i
\(474\) 4.45573 2.71884i 0.204658 0.124880i
\(475\) −3.38191 + 4.12086i −0.155172 + 0.189078i
\(476\) 30.9857 9.93779i 1.42023 0.455498i
\(477\) −7.57820 4.05063i −0.346982 0.185466i
\(478\) 36.1483 + 21.2793i 1.65338 + 0.973292i
\(479\) −27.2972 27.2972i −1.24724 1.24724i −0.956933 0.290309i \(-0.906242\pi\)
−0.290309 0.956933i \(-0.593758\pi\)
\(480\) 2.76505 + 0.867549i 0.126207 + 0.0395980i
\(481\) 0.905949 0.905949i 0.0413077 0.0413077i
\(482\) −40.4698 + 10.4783i −1.84335 + 0.477275i
\(483\) 0.572776 1.07159i 0.0260622 0.0487589i
\(484\) −5.56119 + 4.71326i −0.252781 + 0.214239i
\(485\) 4.80500 + 3.94336i 0.218184 + 0.179059i
\(486\) −1.37451 0.332755i −0.0623490 0.0150941i
\(487\) 33.5974 6.68295i 1.52245 0.302833i 0.638205 0.769866i \(-0.279677\pi\)
0.884240 + 0.467033i \(0.154677\pi\)
\(488\) −27.4432 3.40691i −1.24230 0.154224i
\(489\) −0.591524 + 2.97379i −0.0267497 + 0.134480i
\(490\) −1.31894 + 0.483736i −0.0595835 + 0.0218529i
\(491\) −37.5405 11.3878i −1.69418 0.513923i −0.712048 0.702131i \(-0.752232\pi\)
−0.982129 + 0.188207i \(0.939732\pi\)
\(492\) 2.78740 15.2732i 0.125666 0.688568i
\(493\) −11.5050 + 9.44189i −0.518158 + 0.425241i
\(494\) −0.212055 + 0.102357i −0.00954080 + 0.00460524i
\(495\) 1.28359 + 0.531679i 0.0576929 + 0.0238972i
\(496\) −16.5316 + 3.83620i −0.742293 + 0.172250i
\(497\) −27.1224 + 11.2345i −1.21661 + 0.503935i
\(498\) 4.28201 4.80030i 0.191881 0.215106i
\(499\) −12.5653 1.23758i −0.562502 0.0554016i −0.187230 0.982316i \(-0.559951\pi\)
−0.375272 + 0.926915i \(0.622451\pi\)
\(500\) 0.157961 + 9.97566i 0.00706424 + 0.446125i
\(501\) −6.93713 + 3.70797i −0.309928 + 0.165660i
\(502\) 1.18701 28.8152i 0.0529790 1.28608i
\(503\) 35.1846 23.5096i 1.56880 1.04824i 0.600132 0.799901i \(-0.295115\pi\)
0.968673 0.248341i \(-0.0798853\pi\)
\(504\) −3.43307 + 7.72831i −0.152921 + 0.344246i
\(505\) −3.64333 + 5.45262i −0.162126 + 0.242639i
\(506\) 0.240906 + 1.53996i 0.0107096 + 0.0684596i
\(507\) −1.27208 12.9156i −0.0564949 0.573602i
\(508\) −3.99335 1.14265i −0.177176 0.0506967i
\(509\) −6.43329 21.2077i −0.285150 0.940015i −0.976139 0.217149i \(-0.930324\pi\)
0.690988 0.722866i \(-0.257176\pi\)
\(510\) −3.90433 0.547599i −0.172886 0.0242481i
\(511\) 48.4973 2.14539
\(512\) −7.04663 21.5022i −0.311420 0.950272i
\(513\) 1.12525 0.0496809
\(514\) −27.5220 3.86008i −1.21394 0.170261i
\(515\) −0.548009 1.80654i −0.0241482 0.0796058i
\(516\) −6.70479 1.91849i −0.295162 0.0844569i
\(517\) −2.74235 27.8435i −0.120608 1.22456i
\(518\) 5.65854 + 36.1715i 0.248622 + 1.58928i
\(519\) −5.94805 + 8.90189i −0.261090 + 0.390750i
\(520\) −0.0870394 + 0.195938i −0.00381693 + 0.00859244i
\(521\) 7.42745 4.96287i 0.325403 0.217427i −0.382129 0.924109i \(-0.624809\pi\)
0.707531 + 0.706682i \(0.249809\pi\)
\(522\) 0.159197 3.86458i 0.00696788 0.169148i
\(523\) −31.5529 + 16.8654i −1.37971 + 0.737471i −0.983537 0.180705i \(-0.942162\pi\)
−0.396173 + 0.918176i \(0.629662\pi\)
\(524\) 0.191907 + 12.1194i 0.00838348 + 0.529439i
\(525\) −14.0963 1.38836i −0.615213 0.0605932i
\(526\) −4.26817 + 4.78478i −0.186101 + 0.208626i
\(527\) 21.3307 8.83547i 0.929181 0.384879i
\(528\) −2.45217 10.5673i −0.106717 0.459884i
\(529\) 21.0966 + 8.73852i 0.917245 + 0.379935i
\(530\) 5.60645 2.70617i 0.243528 0.117549i
\(531\) −4.97619 + 4.08386i −0.215948 + 0.177224i
\(532\) 1.20804 6.61927i 0.0523750 0.286982i
\(533\) 1.09917 + 0.333429i 0.0476102 + 0.0144424i
\(534\) −6.47759 + 2.37573i −0.280313 + 0.102808i
\(535\) −1.16172 + 5.84037i −0.0502256 + 0.252501i
\(536\) 0.252791 + 0.0313825i 0.0109189 + 0.00135552i
\(537\) 19.5220 3.88317i 0.842437 0.167571i
\(538\) −10.5090 2.54412i −0.453074 0.109685i
\(539\) 4.06516 + 3.33619i 0.175099 + 0.143700i
\(540\) 0.781621 0.662445i 0.0336356 0.0285071i
\(541\) −11.7277 + 21.9411i −0.504215 + 0.943320i 0.493092 + 0.869977i \(0.335867\pi\)
−0.997307 + 0.0733427i \(0.976633\pi\)
\(542\) 24.3526 6.30530i 1.04603 0.270836i
\(543\) 6.06769 6.06769i 0.260389 0.260389i
\(544\) 14.2526 + 27.2854i 0.611077 + 1.16985i
\(545\) 4.79237 + 4.79237i 0.205283 + 0.205283i
\(546\) −0.539161 0.317386i −0.0230739 0.0135829i
\(547\) 28.8526 + 15.4220i 1.23365 + 0.659398i 0.953741 0.300629i \(-0.0971967\pi\)
0.279906 + 0.960027i \(0.409697\pi\)
\(548\) −2.60946 + 0.836911i −0.111471 + 0.0357511i
\(549\) −6.20254 + 7.55782i −0.264718 + 0.322560i
\(550\) 15.5108 9.46452i 0.661382 0.403568i
\(551\) 0.600398 + 3.01840i 0.0255778 + 0.128588i
\(552\) 1.09116 + 0.361433i 0.0464430 + 0.0153836i
\(553\) −10.8231 2.15286i −0.460247 0.0915488i
\(554\) 11.0293 + 5.11001i 0.468589 + 0.217104i
\(555\) 1.28764 4.24478i 0.0546573 0.180181i
\(556\) 6.80461 1.46589i 0.288580 0.0621675i
\(557\) 2.89015 + 3.52166i 0.122459 + 0.149217i 0.830631 0.556823i \(-0.187980\pi\)
−0.708172 + 0.706040i \(0.750480\pi\)
\(558\) −1.97659 + 5.66520i −0.0836758 + 0.239827i
\(559\) 0.197446 0.476676i 0.00835106 0.0201613i
\(560\) −3.05771 5.30907i −0.129212 0.224349i
\(561\) 5.64779 + 13.6350i 0.238450 + 0.575669i
\(562\) 0.698980 0.0398879i 0.0294847 0.00168257i
\(563\) −3.33001 + 33.8102i −0.140343 + 1.42493i 0.624657 + 0.780899i \(0.285239\pi\)
−0.765000 + 0.644030i \(0.777261\pi\)
\(564\) −19.1848 7.59301i −0.807825 0.319723i
\(565\) −2.31642 4.33372i −0.0974525 0.182321i
\(566\) 26.2874 + 28.5462i 1.10494 + 1.19989i
\(567\) 1.66106 + 2.48595i 0.0697580 + 0.104400i
\(568\) −14.8395 23.4753i −0.622650 0.985001i
\(569\) 18.1451 + 12.1242i 0.760683 + 0.508272i 0.874379 0.485243i \(-0.161269\pi\)
−0.113696 + 0.993516i \(0.536269\pi\)
\(570\) −0.480432 + 0.658622i −0.0201231 + 0.0275866i
\(571\) 11.5260 1.13522i 0.482350 0.0475073i 0.146080 0.989273i \(-0.453334\pi\)
0.336270 + 0.941766i \(0.390834\pi\)
\(572\) 0.797369 0.0913025i 0.0333397 0.00381755i
\(573\) 6.01191 1.82369i 0.251151 0.0761858i
\(574\) −26.2079 + 19.7606i −1.09390 + 0.824793i
\(575\) 1.92533i 0.0802919i
\(576\) −7.75715 1.95616i −0.323215 0.0815066i
\(577\) 7.01568i 0.292067i 0.989280 + 0.146033i \(0.0466507\pi\)
−0.989280 + 0.146033i \(0.953349\pi\)
\(578\) −10.7393 14.2432i −0.446697 0.592440i
\(579\) −17.2872 + 5.24402i −0.718432 + 0.217934i
\(580\) 2.19401 + 1.74319i 0.0911015 + 0.0723819i
\(581\) −13.5339 + 1.33297i −0.561480 + 0.0553010i
\(582\) −13.8632 10.1125i −0.574648 0.419178i
\(583\) −19.3765 12.9470i −0.802495 0.536210i
\(584\) 7.80771 + 45.2100i 0.323086 + 1.87080i
\(585\) 0.0421133 + 0.0630270i 0.00174117 + 0.00260585i
\(586\) 31.2859 28.8103i 1.29241 1.19014i
\(587\) −7.87283 14.7290i −0.324947 0.607932i 0.665409 0.746479i \(-0.268257\pi\)
−0.990356 + 0.138546i \(0.955757\pi\)
\(588\) 3.55903 1.54066i 0.146772 0.0635357i
\(589\) 0.467946 4.75113i 0.0192814 0.195767i
\(590\) −0.265713 4.65626i −0.0109392 0.191695i
\(591\) −5.31392 12.8289i −0.218586 0.527712i
\(592\) −32.8086 + 11.0983i −1.34843 + 0.456138i
\(593\) 13.0568 31.5220i 0.536180 1.29445i −0.391192 0.920309i \(-0.627937\pi\)
0.927371 0.374143i \(-0.122063\pi\)
\(594\) −3.62130 1.26347i −0.148584 0.0518409i
\(595\) 5.28770 + 6.44308i 0.216774 + 0.264140i
\(596\) 30.3006 + 19.5595i 1.24116 + 0.801188i
\(597\) 3.08032 10.1545i 0.126069 0.415594i
\(598\) −0.0357502 + 0.0771620i −0.00146193 + 0.00315539i
\(599\) −6.28685 1.25053i −0.256874 0.0510954i 0.0649733 0.997887i \(-0.479304\pi\)
−0.321847 + 0.946792i \(0.604304\pi\)
\(600\) −0.975146 13.3643i −0.0398102 0.545596i
\(601\) −3.50430 17.6173i −0.142943 0.718625i −0.984069 0.177786i \(-0.943107\pi\)
0.841126 0.540839i \(-0.181893\pi\)
\(602\) 7.67963 + 12.5857i 0.312999 + 0.512953i
\(603\) 0.0571343 0.0696183i 0.00232669 0.00283508i
\(604\) −14.3389 + 27.8791i −0.583441 + 1.13438i
\(605\) −1.64677 0.880218i −0.0669508 0.0357859i
\(606\) 9.18375 15.6009i 0.373064 0.633744i
\(607\) 23.6239 + 23.6239i 0.958864 + 0.958864i 0.999187 0.0403228i \(-0.0128386\pi\)
−0.0403228 + 0.999187i \(0.512839\pi\)
\(608\) 6.36508 + 0.0604959i 0.258138 + 0.00245343i
\(609\) −5.78212 + 5.78212i −0.234303 + 0.234303i
\(610\) −1.77547 6.85728i −0.0718866 0.277643i
\(611\) 0.719577 1.34623i 0.0291110 0.0544628i
\(612\) 10.8468 + 0.895164i 0.438455 + 0.0361849i
\(613\) −19.5301 16.0280i −0.788815 0.647364i 0.151198 0.988504i \(-0.451687\pi\)
−0.940013 + 0.341140i \(0.889187\pi\)
\(614\) −7.56211 + 31.2368i −0.305182 + 1.26061i
\(615\) 3.90036 0.775829i 0.157278 0.0312845i
\(616\) −11.3201 + 19.9459i −0.456100 + 0.803642i
\(617\) 6.11966 30.7656i 0.246368 1.23858i −0.637356 0.770569i \(-0.719972\pi\)
0.883724 0.468008i \(-0.155028\pi\)
\(618\) 1.79449 + 4.89280i 0.0721850 + 0.196817i
\(619\) 24.3993 + 7.40144i 0.980690 + 0.297489i 0.739625 0.673020i \(-0.235003\pi\)
0.241066 + 0.970509i \(0.422503\pi\)
\(620\) −2.47199 3.57572i −0.0992777 0.143604i
\(621\) 0.314150 0.257816i 0.0126064 0.0103458i
\(622\) 16.3621 + 33.8977i 0.656059 + 1.35917i
\(623\) 13.4761 + 5.58200i 0.539910 + 0.223638i
\(624\) 0.209071 0.553711i 0.00836955 0.0221662i
\(625\) 19.5237 8.08696i 0.780946 0.323479i
\(626\) −25.2834 22.5535i −1.01053 0.901420i
\(627\) 3.03701 + 0.299119i 0.121286 + 0.0119457i
\(628\) −4.00842 + 4.13741i −0.159953 + 0.165100i
\(629\) 41.5556 22.2119i 1.65693 0.885647i
\(630\) −2.16426 0.0891545i −0.0862262 0.00355200i
\(631\) 0.781917 0.522460i 0.0311276 0.0207988i −0.539909 0.841723i \(-0.681541\pi\)
0.571037 + 0.820925i \(0.306541\pi\)
\(632\) 0.264480 10.4361i 0.0105205 0.415126i
\(633\) 13.3899 20.0393i 0.532199 0.796493i
\(634\) −3.87789 + 0.606643i −0.154011 + 0.0240929i
\(635\) −0.104283 1.05880i −0.00413834 0.0420173i
\(636\) −15.0262 + 8.34021i −0.595829 + 0.330711i
\(637\) 0.0832888 + 0.274566i 0.00330002 + 0.0108787i
\(638\) 1.45697 10.3880i 0.0576820 0.411267i
\(639\) −9.81898 −0.388433
\(640\) 4.45693 3.70516i 0.176176 0.146459i
\(641\) 16.5034 0.651846 0.325923 0.945396i \(-0.394325\pi\)
0.325923 + 0.945396i \(0.394325\pi\)
\(642\) 2.28324 16.2793i 0.0901123 0.642492i
\(643\) −11.0405 36.3957i −0.435396 1.43531i −0.850713 0.525631i \(-0.823829\pi\)
0.415317 0.909677i \(-0.363671\pi\)
\(644\) −1.17934 2.12477i −0.0464725 0.0837277i
\(645\) −0.175090 1.77772i −0.00689417 0.0699977i
\(646\) −8.55575 + 1.33843i −0.336622 + 0.0526599i
\(647\) −17.1620 + 25.6848i −0.674708 + 1.00977i 0.323276 + 0.946305i \(0.395216\pi\)
−0.997984 + 0.0634675i \(0.979784\pi\)
\(648\) −2.05003 + 1.94869i −0.0805327 + 0.0765517i
\(649\) −14.5162 + 9.69939i −0.569809 + 0.380734i
\(650\) 0.990526 + 0.0408037i 0.0388516 + 0.00160045i
\(651\) 11.1872 5.97968i 0.438461 0.234362i
\(652\) 4.35532 + 4.21954i 0.170568 + 0.165250i
\(653\) −7.91007 0.779074i −0.309545 0.0304875i −0.0579480 0.998320i \(-0.518456\pi\)
−0.251597 + 0.967832i \(0.580956\pi\)
\(654\) −13.9619 12.4545i −0.545955 0.487008i
\(655\) −2.86839 + 1.18812i −0.112077 + 0.0464239i
\(656\) −22.6405 21.2501i −0.883962 0.829678i
\(657\) 14.9860 + 6.20741i 0.584660 + 0.242174i
\(658\) 18.9616 + 39.2834i 0.739202 + 1.53143i
\(659\) −30.8615 + 25.3273i −1.20219 + 0.986613i −0.202218 + 0.979341i \(0.564815\pi\)
−0.999974 + 0.00727271i \(0.997685\pi\)
\(660\) 2.28566 1.58014i 0.0889693 0.0615070i
\(661\) −46.3690 14.0659i −1.80355 0.547100i −0.804636 0.593769i \(-0.797639\pi\)
−0.998910 + 0.0466691i \(0.985139\pi\)
\(662\) −15.5881 42.5020i −0.605849 1.65189i
\(663\) −0.157089 + 0.789739i −0.00610082 + 0.0306709i
\(664\) −3.42148 12.4019i −0.132779 0.481287i
\(665\) 1.69038 0.336238i 0.0655502 0.0130387i
\(666\) −2.88124 + 11.9015i −0.111646 + 0.461174i
\(667\) 0.859195 + 0.705123i 0.0332682 + 0.0273025i
\(668\) −1.29392 + 15.6786i −0.0500633 + 0.606622i
\(669\) −1.51962 + 2.84301i −0.0587519 + 0.109917i
\(670\) 0.0163546 + 0.0631654i 0.000631834 + 0.00244029i
\(671\) −18.7495 + 18.7495i −0.723816 + 0.723816i
\(672\) 9.26231 + 14.1513i 0.357301 + 0.545900i
\(673\) −17.1310 17.1310i −0.660353 0.660353i 0.295110 0.955463i \(-0.404644\pi\)
−0.955463 + 0.295110i \(0.904644\pi\)
\(674\) −14.6264 + 24.8466i −0.563387 + 0.957057i
\(675\) −4.17815 2.23327i −0.160817 0.0859586i
\(676\) −23.0822 11.8717i −0.887777 0.456604i
\(677\) −0.222557 + 0.271187i −0.00855357 + 0.0104226i −0.777270 0.629168i \(-0.783396\pi\)
0.768716 + 0.639590i \(0.220896\pi\)
\(678\) 7.06586 + 11.5798i 0.271363 + 0.444719i
\(679\) 7.07741 + 35.5805i 0.271606 + 1.36546i
\(680\) −5.15506 + 5.96656i −0.197687 + 0.228807i
\(681\) 4.56434 + 0.907905i 0.174906 + 0.0347910i
\(682\) −6.84071 + 14.7648i −0.261944 + 0.565372i
\(683\) −3.25007 + 10.7140i −0.124360 + 0.409961i −0.996909 0.0785662i \(-0.974966\pi\)
0.872549 + 0.488527i \(0.162466\pi\)
\(684\) 1.22053 1.89078i 0.0466680 0.0722958i
\(685\) −0.445303 0.542604i −0.0170142 0.0207318i
\(686\) 20.2044 + 7.04932i 0.771407 + 0.269144i
\(687\) −3.57842 + 8.63908i −0.136525 + 0.329602i
\(688\) −10.4962 + 9.18528i −0.400163 + 0.350185i
\(689\) −0.486564 1.17467i −0.0185366 0.0447514i
\(690\) 0.0167746 + 0.293952i 0.000638599 + 0.0111906i
\(691\) 2.20589 22.3968i 0.0839160 0.852014i −0.857437 0.514590i \(-0.827944\pi\)
0.941353 0.337424i \(-0.109556\pi\)
\(692\) 8.50636 + 19.6503i 0.323363 + 0.746992i
\(693\) 3.82232 + 7.15106i 0.145198 + 0.271646i
\(694\) 3.51035 3.23258i 0.133251 0.122707i
\(695\) 0.990556 + 1.48247i 0.0375739 + 0.0562334i
\(696\) −6.32106 4.45930i −0.239599 0.169029i
\(697\) 35.1242 + 23.4692i 1.33042 + 0.888960i
\(698\) −42.2148 30.7936i −1.59785 1.16555i
\(699\) −11.3580 + 1.11866i −0.429599 + 0.0423118i
\(700\) −17.6228 + 22.1804i −0.666078 + 0.838341i
\(701\) 20.1709 6.11877i 0.761843 0.231103i 0.114627 0.993409i \(-0.463433\pi\)
0.647217 + 0.762306i \(0.275933\pi\)
\(702\) −0.125981 0.167084i −0.00475484 0.00630620i
\(703\) 9.74323i 0.367473i
\(704\) −20.4163 7.34165i −0.769469 0.276699i
\(705\) 5.28497i 0.199044i
\(706\) 24.3140 18.3326i 0.915071 0.689958i
\(707\) −36.6248 + 11.1100i −1.37742 + 0.417834i
\(708\) 1.46466 + 12.7913i 0.0550452 + 0.480725i
\(709\) 25.5081 2.51233i 0.957976 0.0943524i 0.393071 0.919508i \(-0.371413\pi\)
0.564905 + 0.825156i \(0.308913\pi\)
\(710\) 4.19228 5.74717i 0.157333 0.215687i
\(711\) −3.06888 2.05056i −0.115092 0.0769019i
\(712\) −3.03407 + 13.4613i −0.113706 + 0.504485i
\(713\) −0.957933 1.43365i −0.0358749 0.0536906i
\(714\) −15.5867 16.9260i −0.583318 0.633441i
\(715\) 0.0969082 + 0.181303i 0.00362416 + 0.00678033i
\(716\) 14.6500 37.0153i 0.547497 1.38333i
\(717\) 2.90725 29.5178i 0.108573 1.10236i
\(718\) −28.2781 + 1.61372i −1.05533 + 0.0602234i
\(719\) −5.26705 12.7158i −0.196428 0.474218i 0.794721 0.606975i \(-0.207617\pi\)
−0.991149 + 0.132757i \(0.957617\pi\)
\(720\) −0.265319 2.03191i −0.00988786 0.0757249i
\(721\) 4.21632 10.1791i 0.157024 0.379090i
\(722\) 8.26179 23.6795i 0.307472 0.881260i
\(723\) 18.7527 + 22.8503i 0.697422 + 0.849811i
\(724\) −3.61422 16.7771i −0.134322 0.623517i
\(725\) 3.76126 12.3992i 0.139690 0.460496i
\(726\) 4.67709 + 2.16696i 0.173583 + 0.0804232i
\(727\) 18.2925 + 3.63861i 0.678432 + 0.134949i 0.522266 0.852782i \(-0.325087\pi\)
0.156166 + 0.987731i \(0.450087\pi\)
\(728\) −1.11812 + 0.561704i −0.0414404 + 0.0208181i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −10.0317 + 6.12121i −0.371288 + 0.226556i
\(731\) 12.0378 14.6681i 0.445234 0.542520i
\(732\) 5.97185 + 18.6200i 0.220726 + 0.688216i
\(733\) 2.14762 + 1.14793i 0.0793242 + 0.0423997i 0.510582 0.859829i \(-0.329430\pi\)
−0.431258 + 0.902229i \(0.641930\pi\)
\(734\) 19.7535 + 11.6282i 0.729116 + 0.429206i
\(735\) 0.702424 + 0.702424i 0.0259093 + 0.0259093i
\(736\) 1.79088 1.44147i 0.0660127 0.0531334i
\(737\) 0.172710 0.172710i 0.00636185 0.00636185i
\(738\) −10.6277 + 2.75170i −0.391211 + 0.101291i
\(739\) −8.67266 + 16.2254i −0.319029 + 0.596861i −0.989409 0.145157i \(-0.953631\pi\)
0.670380 + 0.742018i \(0.266131\pi\)
\(740\) −5.73594 6.76785i −0.210857 0.248791i
\(741\) 0.128706 + 0.105626i 0.00472812 + 0.00388027i
\(742\) 35.3127 + 8.54884i 1.29637 + 0.313838i
\(743\) 15.7285 3.12859i 0.577022 0.114777i 0.102053 0.994779i \(-0.467459\pi\)
0.474970 + 0.880002i \(0.342459\pi\)
\(744\) 7.37542 + 9.46620i 0.270396 + 0.347048i
\(745\) −1.80223 + 9.06043i −0.0660287 + 0.331948i
\(746\) −13.8903 + 5.09442i −0.508559 + 0.186520i
\(747\) −4.35268 1.32037i −0.159256 0.0483099i
\(748\) 29.0372 + 5.29937i 1.06170 + 0.193764i
\(749\) −26.8647 + 22.0473i −0.981615 + 0.805591i
\(750\) 6.35333 3.06668i 0.231991 0.111979i
\(751\) 38.6789 + 16.0213i 1.41141 + 0.584626i 0.952687 0.303953i \(-0.0983066\pi\)
0.458724 + 0.888579i \(0.348307\pi\)
\(752\) −33.5679 + 24.0007i −1.22410 + 0.875215i
\(753\) −18.8404 + 7.80395i −0.686582 + 0.284392i
\(754\) 0.380974 0.427086i 0.0138742 0.0155536i
\(755\) −7.99159 0.787103i −0.290844 0.0286456i
\(756\) 5.97891 0.0946740i 0.217451 0.00344326i
\(757\) 8.56154 4.57624i 0.311174 0.166326i −0.308416 0.951252i \(-0.599799\pi\)
0.619590 + 0.784925i \(0.287299\pi\)
\(758\) 0.929411 22.5618i 0.0337577 0.819481i
\(759\) 0.916413 0.612328i 0.0332637 0.0222261i
\(760\) 0.585586 + 1.52167i 0.0212414 + 0.0551968i
\(761\) −17.1543 + 25.6733i −0.621844 + 0.930655i 0.378144 + 0.925747i \(0.376562\pi\)
−0.999988 + 0.00490799i \(0.998438\pi\)
\(762\) 0.453940 + 2.90175i 0.0164445 + 0.105119i
\(763\) 3.87702 + 39.3641i 0.140358 + 1.42508i
\(764\) 3.45656 12.0801i 0.125054 0.437041i
\(765\) 0.809255 + 2.66776i 0.0292587 + 0.0964529i
\(766\) −10.4343 1.46346i −0.377007 0.0528769i
\(767\) −0.952524 −0.0343937
\(768\) −11.7009 + 10.9127i −0.422222 + 0.393779i
\(769\) 44.8350 1.61679 0.808396 0.588639i \(-0.200336\pi\)
0.808396 + 0.588639i \(0.200336\pi\)
\(770\) −5.81757 0.815940i −0.209651 0.0294044i
\(771\) 5.70451 + 18.8053i 0.205443 + 0.677255i
\(772\) −9.93932 + 34.7362i −0.357724 + 1.25018i
\(773\) −0.0512533 0.520383i −0.00184345