Properties

Label 384.2.v.a.229.30
Level $384$
Weight $2$
Character 384.229
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 229.30
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.30

$q$-expansion

\(f(q)\) \(=\) \(q+(1.39990 - 0.200716i) q^{2} +(0.881921 - 0.471397i) q^{3} +(1.91943 - 0.561964i) q^{4} +(1.14608 + 1.39650i) q^{5} +(1.13998 - 0.836923i) q^{6} +(-0.882145 + 0.589430i) q^{7} +(2.57420 - 1.17195i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(1.39990 - 0.200716i) q^{2} +(0.881921 - 0.471397i) q^{3} +(1.91943 - 0.561964i) q^{4} +(1.14608 + 1.39650i) q^{5} +(1.13998 - 0.836923i) q^{6} +(-0.882145 + 0.589430i) q^{7} +(2.57420 - 1.17195i) q^{8} +(0.555570 - 0.831470i) q^{9} +(1.88469 + 1.72492i) q^{10} +(-0.159352 + 0.0483388i) q^{11} +(1.42787 - 1.40042i) q^{12} +(-3.93484 - 3.22924i) q^{13} +(-1.11660 + 1.00220i) q^{14} +(1.66905 + 0.691344i) q^{15} +(3.36839 - 2.15730i) q^{16} +(-6.65542 + 2.75677i) q^{17} +(0.610852 - 1.27548i) q^{18} +(0.712277 + 7.23187i) q^{19} +(2.98459 + 2.03642i) q^{20} +(-0.500127 + 0.935671i) q^{21} +(-0.213374 + 0.0996538i) q^{22} +(5.33942 - 1.06208i) q^{23} +(1.71779 - 2.24704i) q^{24} +(0.338736 - 1.70294i) q^{25} +(-6.15653 - 3.73081i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(-1.36197 + 1.62710i) q^{28} +(1.91808 - 6.32306i) q^{29} +(2.47527 + 0.632805i) q^{30} +(-3.85472 - 3.85472i) q^{31} +(4.28240 - 3.69609i) q^{32} +(-0.117749 + 0.117749i) q^{33} +(-8.76358 + 5.19504i) q^{34} +(-1.83414 - 0.556381i) q^{35} +(0.599120 - 1.90815i) q^{36} +(-7.55303 - 0.743908i) q^{37} +(2.44867 + 9.98091i) q^{38} +(-4.99247 - 0.993063i) q^{39} +(4.58686 + 2.25172i) q^{40} +(0.713954 + 3.58929i) q^{41} +(-0.512322 + 1.41023i) q^{42} +(1.35756 + 0.725633i) q^{43} +(-0.278699 + 0.182333i) q^{44} +(1.79787 - 0.177075i) q^{45} +(7.26147 - 2.55851i) q^{46} +(-0.849518 - 2.05092i) q^{47} +(1.95371 - 3.49042i) q^{48} +(-2.24803 + 5.42723i) q^{49} +(0.132388 - 2.45193i) q^{50} +(-4.57003 + 5.56860i) q^{51} +(-9.36734 - 3.98704i) q^{52} +(-2.11433 - 6.97002i) q^{53} +(-0.0625357 - 1.41283i) q^{54} +(-0.250134 - 0.167134i) q^{55} +(-1.58004 + 2.55114i) q^{56} +(4.03725 + 6.04217i) q^{57} +(1.41597 - 9.23662i) q^{58} +(0.186429 - 0.152999i) q^{59} +(3.59213 + 0.389037i) q^{60} +(6.44799 + 12.0633i) q^{61} +(-6.16992 - 4.62251i) q^{62} +1.06095i q^{63} +(5.25306 - 6.03369i) q^{64} -9.19594i q^{65} +(-0.141202 + 0.188470i) q^{66} +(4.78006 + 8.94286i) q^{67} +(-11.2254 + 9.03152i) q^{68} +(4.20829 - 3.45365i) q^{69} +(-2.67929 - 0.410734i) q^{70} +(3.26705 + 4.88948i) q^{71} +(0.455709 - 2.79147i) q^{72} +(-10.3704 - 6.92930i) q^{73} +(-10.7228 + 0.474619i) q^{74} +(-0.504023 - 1.66154i) q^{75} +(5.43121 + 13.4808i) q^{76} +(0.112079 - 0.136568i) q^{77} +(-7.18827 - 0.388118i) q^{78} +(-6.08189 + 14.6830i) q^{79} +(6.87309 + 2.23153i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(1.71989 + 4.88134i) q^{82} +(2.98123 - 0.293626i) q^{83} +(-0.434142 + 2.07700i) q^{84} +(-11.4774 - 6.13482i) q^{85} +(2.04610 + 0.743326i) q^{86} +(-1.28907 - 6.48062i) q^{87} +(-0.353553 + 0.311186i) q^{88} +(5.54711 + 1.10339i) q^{89} +(2.48129 - 0.608748i) q^{90} +(5.37450 + 0.529342i) q^{91} +(9.65178 - 5.03914i) q^{92} +(-5.21666 - 1.58246i) q^{93} +(-1.60089 - 2.70056i) q^{94} +(-9.28296 + 9.28296i) q^{95} +(2.03442 - 5.27837i) q^{96} +(-2.74495 - 2.74495i) q^{97} +(-2.05768 + 8.04878i) q^{98} +(-0.0483388 + 0.159352i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.39990 0.200716i 0.989877 0.141928i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) 1.91943 0.561964i 0.959713 0.280982i
\(5\) 1.14608 + 1.39650i 0.512541 + 0.624533i 0.963402 0.268061i \(-0.0863830\pi\)
−0.450861 + 0.892594i \(0.648883\pi\)
\(6\) 1.13998 0.836923i 0.465396 0.341672i
\(7\) −0.882145 + 0.589430i −0.333419 + 0.222784i −0.710998 0.703194i \(-0.751757\pi\)
0.377579 + 0.925977i \(0.376757\pi\)
\(8\) 2.57420 1.17195i 0.910119 0.414348i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) 1.88469 + 1.72492i 0.595991 + 0.545467i
\(11\) −0.159352 + 0.0483388i −0.0480463 + 0.0145747i −0.314216 0.949351i \(-0.601742\pi\)
0.266170 + 0.963926i \(0.414242\pi\)
\(12\) 1.42787 1.40042i 0.412192 0.404266i
\(13\) −3.93484 3.22924i −1.09133 0.895629i −0.0963117 0.995351i \(-0.530705\pi\)
−0.995015 + 0.0997223i \(0.968205\pi\)
\(14\) −1.11660 + 1.00220i −0.298425 + 0.267850i
\(15\) 1.66905 + 0.691344i 0.430948 + 0.178504i
\(16\) 3.36839 2.15730i 0.842098 0.539324i
\(17\) −6.65542 + 2.75677i −1.61418 + 0.668614i −0.993329 0.115316i \(-0.963212\pi\)
−0.620849 + 0.783930i \(0.713212\pi\)
\(18\) 0.610852 1.27548i 0.143979 0.300635i
\(19\) 0.712277 + 7.23187i 0.163408 + 1.65910i 0.631463 + 0.775406i \(0.282455\pi\)
−0.468056 + 0.883699i \(0.655045\pi\)
\(20\) 2.98459 + 2.03642i 0.667374 + 0.455357i
\(21\) −0.500127 + 0.935671i −0.109137 + 0.204180i
\(22\) −0.213374 + 0.0996538i −0.0454914 + 0.0212463i
\(23\) 5.33942 1.06208i 1.11335 0.221458i 0.396052 0.918228i \(-0.370380\pi\)
0.717295 + 0.696770i \(0.245380\pi\)
\(24\) 1.71779 2.24704i 0.350643 0.458675i
\(25\) 0.338736 1.70294i 0.0677472 0.340588i
\(26\) −6.15653 3.73081i −1.20739 0.731673i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) −1.36197 + 1.62710i −0.257389 + 0.307493i
\(29\) 1.91808 6.32306i 0.356178 1.17416i −0.577603 0.816318i \(-0.696012\pi\)
0.933781 0.357845i \(-0.116488\pi\)
\(30\) 2.47527 + 0.632805i 0.451920 + 0.115534i
\(31\) −3.85472 3.85472i −0.692328 0.692328i 0.270415 0.962744i \(-0.412839\pi\)
−0.962744 + 0.270415i \(0.912839\pi\)
\(32\) 4.28240 3.69609i 0.757029 0.653382i
\(33\) −0.117749 + 0.117749i −0.0204974 + 0.0204974i
\(34\) −8.76358 + 5.19504i −1.50294 + 0.890943i
\(35\) −1.83414 0.556381i −0.310027 0.0940456i
\(36\) 0.599120 1.90815i 0.0998533 0.318026i
\(37\) −7.55303 0.743908i −1.24171 0.122298i −0.544251 0.838922i \(-0.683186\pi\)
−0.697459 + 0.716625i \(0.745686\pi\)
\(38\) 2.44867 + 9.98091i 0.397226 + 1.61912i
\(39\) −4.99247 0.993063i −0.799434 0.159017i
\(40\) 4.58686 + 2.25172i 0.725247 + 0.356029i
\(41\) 0.713954 + 3.58929i 0.111501 + 0.560553i 0.995636 + 0.0933217i \(0.0297485\pi\)
−0.884135 + 0.467231i \(0.845252\pi\)
\(42\) −0.512322 + 1.41023i −0.0790529 + 0.217603i
\(43\) 1.35756 + 0.725633i 0.207026 + 0.110658i 0.571652 0.820496i \(-0.306303\pi\)
−0.364625 + 0.931154i \(0.618803\pi\)
\(44\) −0.278699 + 0.182333i −0.0420155 + 0.0274877i
\(45\) 1.79787 0.177075i 0.268011 0.0263968i
\(46\) 7.26147 2.55851i 1.07065 0.377231i
\(47\) −0.849518 2.05092i −0.123915 0.299157i 0.849733 0.527213i \(-0.176763\pi\)
−0.973648 + 0.228056i \(0.926763\pi\)
\(48\) 1.95371 3.49042i 0.281994 0.503798i
\(49\) −2.24803 + 5.42723i −0.321148 + 0.775319i
\(50\) 0.132388 2.45193i 0.0187225 0.346756i
\(51\) −4.57003 + 5.56860i −0.639932 + 0.779760i
\(52\) −9.36734 3.98704i −1.29902 0.552903i
\(53\) −2.11433 6.97002i −0.290426 0.957406i −0.973813 0.227350i \(-0.926994\pi\)
0.683387 0.730056i \(-0.260506\pi\)
\(54\) −0.0625357 1.41283i −0.00851003 0.192262i
\(55\) −0.250134 0.167134i −0.0337281 0.0225364i
\(56\) −1.58004 + 2.55114i −0.211141 + 0.340911i
\(57\) 4.03725 + 6.04217i 0.534747 + 0.800305i
\(58\) 1.41597 9.23662i 0.185926 1.21283i
\(59\) 0.186429 0.152999i 0.0242710 0.0199187i −0.622180 0.782875i \(-0.713753\pi\)
0.646451 + 0.762956i \(0.276253\pi\)
\(60\) 3.59213 + 0.389037i 0.463743 + 0.0502244i
\(61\) 6.44799 + 12.0633i 0.825580 + 1.54455i 0.838672 + 0.544637i \(0.183333\pi\)
−0.0130917 + 0.999914i \(0.504167\pi\)
\(62\) −6.16992 4.62251i −0.783580 0.587059i
\(63\) 1.06095i 0.133667i
\(64\) 5.25306 6.03369i 0.656632 0.754211i
\(65\) 9.19594i 1.14062i
\(66\) −0.141202 + 0.188470i −0.0173808 + 0.0231991i
\(67\) 4.78006 + 8.94286i 0.583977 + 1.09254i 0.984355 + 0.176195i \(0.0563788\pi\)
−0.400378 + 0.916350i \(0.631121\pi\)
\(68\) −11.2254 + 9.03152i −1.36128 + 1.09523i
\(69\) 4.20829 3.45365i 0.506619 0.415771i
\(70\) −2.67929 0.410734i −0.320236 0.0490921i
\(71\) 3.26705 + 4.88948i 0.387727 + 0.580275i 0.973070 0.230512i \(-0.0740400\pi\)
−0.585343 + 0.810786i \(0.699040\pi\)
\(72\) 0.455709 2.79147i 0.0537058 0.328978i
\(73\) −10.3704 6.92930i −1.21377 0.811013i −0.227117 0.973867i \(-0.572930\pi\)
−0.986650 + 0.162854i \(0.947930\pi\)
\(74\) −10.7228 + 0.474619i −1.24650 + 0.0551734i
\(75\) −0.504023 1.66154i −0.0581995 0.191858i
\(76\) 5.43121 + 13.4808i 0.623003 + 1.54635i
\(77\) 0.112079 0.136568i 0.0127726 0.0155634i
\(78\) −7.18827 0.388118i −0.813911 0.0439457i
\(79\) −6.08189 + 14.6830i −0.684266 + 1.65197i 0.0717582 + 0.997422i \(0.477139\pi\)
−0.756025 + 0.654543i \(0.772861\pi\)
\(80\) 6.87309 + 2.23153i 0.768435 + 0.249492i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 1.71989 + 4.88134i 0.189930 + 0.539054i
\(83\) 2.98123 0.293626i 0.327233 0.0322296i 0.0669331 0.997757i \(-0.478679\pi\)
0.260300 + 0.965528i \(0.416179\pi\)
\(84\) −0.434142 + 2.07700i −0.0473688 + 0.226620i
\(85\) −11.4774 6.13482i −1.24490 0.665415i
\(86\) 2.04610 + 0.743326i 0.220636 + 0.0801550i
\(87\) −1.28907 6.48062i −0.138203 0.694795i
\(88\) −0.353553 + 0.311186i −0.0376889 + 0.0331726i
\(89\) 5.54711 + 1.10339i 0.587993 + 0.116959i 0.480116 0.877205i \(-0.340595\pi\)
0.107877 + 0.994164i \(0.465595\pi\)
\(90\) 2.48129 0.608748i 0.261551 0.0641677i
\(91\) 5.37450 + 0.529342i 0.563401 + 0.0554901i
\(92\) 9.65178 5.03914i 1.00627 0.525367i
\(93\) −5.21666 1.58246i −0.540943 0.164093i
\(94\) −1.60089 2.70056i −0.165119 0.278542i
\(95\) −9.28296 + 9.28296i −0.952412 + 0.952412i
\(96\) 2.03442 5.27837i 0.207637 0.538721i
\(97\) −2.74495 2.74495i −0.278708 0.278708i 0.553885 0.832593i \(-0.313145\pi\)
−0.832593 + 0.553885i \(0.813145\pi\)
\(98\) −2.05768 + 8.04878i −0.207857 + 0.813050i
\(99\) −0.0483388 + 0.159352i −0.00485823 + 0.0160154i
\(100\) −0.306813 3.45903i −0.0306813 0.345903i
\(101\) 0.888500 9.02109i 0.0884091 0.897632i −0.844028 0.536299i \(-0.819822\pi\)
0.932437 0.361333i \(-0.117678\pi\)
\(102\) −5.27987 + 8.71274i −0.522785 + 0.862690i
\(103\) −0.612706 + 3.08028i −0.0603717 + 0.303509i −0.999160 0.0409864i \(-0.986950\pi\)
0.938788 + 0.344495i \(0.111950\pi\)
\(104\) −13.9136 3.70128i −1.36434 0.362940i
\(105\) −1.87985 + 0.373924i −0.183454 + 0.0364913i
\(106\) −4.35885 9.33294i −0.423369 0.906495i
\(107\) 5.03839 9.42617i 0.487080 0.911262i −0.511567 0.859244i \(-0.670935\pi\)
0.998646 0.0520181i \(-0.0165654\pi\)
\(108\) −0.371121 1.96527i −0.0357112 0.189108i
\(109\) −1.11335 11.3040i −0.106639 1.08273i −0.888376 0.459117i \(-0.848166\pi\)
0.781736 0.623609i \(-0.214334\pi\)
\(110\) −0.383709 0.183765i −0.0365852 0.0175213i
\(111\) −7.01185 + 2.90440i −0.665536 + 0.275674i
\(112\) −1.69983 + 3.88848i −0.160619 + 0.367427i
\(113\) 13.9071 + 5.76052i 1.30827 + 0.541904i 0.924380 0.381473i \(-0.124583\pi\)
0.383893 + 0.923378i \(0.374583\pi\)
\(114\) 6.86450 + 7.64808i 0.642919 + 0.716309i
\(115\) 7.60257 + 6.23927i 0.708943 + 0.581815i
\(116\) 0.128278 13.2145i 0.0119103 1.22694i
\(117\) −4.87109 + 1.47763i −0.450332 + 0.136607i
\(118\) 0.230273 0.251602i 0.0211983 0.0231618i
\(119\) 4.24612 6.35478i 0.389242 0.582541i
\(120\) 5.10671 0.176388i 0.466176 0.0161020i
\(121\) −9.12311 + 6.09587i −0.829374 + 0.554170i
\(122\) 11.4478 + 15.5932i 1.03644 + 1.41174i
\(123\) 2.32163 + 2.82892i 0.209334 + 0.255075i
\(124\) −9.56507 5.23264i −0.858968 0.469905i
\(125\) 10.7326 5.73671i 0.959956 0.513107i
\(126\) 0.212949 + 1.48522i 0.0189710 + 0.132314i
\(127\) 5.83887 0.518116 0.259058 0.965862i \(-0.416588\pi\)
0.259058 + 0.965862i \(0.416588\pi\)
\(128\) 6.14268 9.50092i 0.542942 0.839770i
\(129\) 1.53932 0.135530
\(130\) −1.84577 12.8734i −0.161885 1.12907i
\(131\) 7.04647 3.76642i 0.615653 0.329073i −0.133923 0.990992i \(-0.542757\pi\)
0.749576 + 0.661918i \(0.230257\pi\)
\(132\) −0.159840 + 0.292181i −0.0139122 + 0.0254311i
\(133\) −4.89101 5.95972i −0.424105 0.516773i
\(134\) 8.48657 + 11.5597i 0.733128 + 0.998602i
\(135\) 1.50211 1.00368i 0.129281 0.0863827i
\(136\) −13.9016 + 14.8963i −1.19205 + 1.27735i
\(137\) −3.65448 + 5.46932i −0.312223 + 0.467275i −0.954081 0.299548i \(-0.903164\pi\)
0.641858 + 0.766824i \(0.278164\pi\)
\(138\) 5.19797 5.67943i 0.442481 0.483466i
\(139\) 6.67652 2.02530i 0.566295 0.171784i 0.00586083 0.999983i \(-0.498134\pi\)
0.560434 + 0.828199i \(0.310634\pi\)
\(140\) −3.83317 0.0372100i −0.323962 0.00314482i
\(141\) −1.71600 1.40829i −0.144514 0.118599i
\(142\) 5.55493 + 6.18902i 0.466159 + 0.519371i
\(143\) 0.783120 + 0.324379i 0.0654878 + 0.0271259i
\(144\) 0.0776516 3.99925i 0.00647097 0.333271i
\(145\) 11.0284 4.56811i 0.915859 0.379361i
\(146\) −15.9084 7.61880i −1.31659 0.630536i
\(147\) 0.575791 + 5.84611i 0.0474905 + 0.482179i
\(148\) −14.9155 + 2.81665i −1.22605 + 0.231528i
\(149\) 2.70915 5.06846i 0.221942 0.415224i −0.746165 0.665761i \(-0.768107\pi\)
0.968107 + 0.250537i \(0.0806071\pi\)
\(150\) −1.03908 2.22482i −0.0848404 0.181656i
\(151\) −9.52777 + 1.89519i −0.775359 + 0.154228i −0.566882 0.823799i \(-0.691851\pi\)
−0.208477 + 0.978027i \(0.566851\pi\)
\(152\) 10.3089 + 17.7816i 0.836166 + 1.44227i
\(153\) −1.40539 + 7.06536i −0.113619 + 0.571201i
\(154\) 0.129487 0.213678i 0.0104344 0.0172187i
\(155\) 0.965305 9.80091i 0.0775352 0.787228i
\(156\) −10.1407 + 0.899475i −0.811909 + 0.0720157i
\(157\) 5.09243 16.7875i 0.406420 1.33979i −0.480148 0.877188i \(-0.659417\pi\)
0.886568 0.462599i \(-0.153083\pi\)
\(158\) −5.56691 + 21.7754i −0.442880 + 1.73236i
\(159\) −5.15032 5.15032i −0.408447 0.408447i
\(160\) 10.0695 + 1.74437i 0.796066 + 0.137904i
\(161\) −4.08412 + 4.08412i −0.321874 + 0.321874i
\(162\) −0.721155 1.21653i −0.0566593 0.0955793i
\(163\) 5.65977 + 1.71687i 0.443307 + 0.134476i 0.504044 0.863678i \(-0.331845\pi\)
−0.0607367 + 0.998154i \(0.519345\pi\)
\(164\) 3.38744 + 6.48816i 0.264514 + 0.506640i
\(165\) −0.299385 0.0294869i −0.0233071 0.00229555i
\(166\) 4.11449 1.00943i 0.319346 0.0783468i
\(167\) −6.11092 1.21554i −0.472877 0.0940611i −0.0471018 0.998890i \(-0.514999\pi\)
−0.425775 + 0.904829i \(0.639999\pi\)
\(168\) −0.190867 + 2.99473i −0.0147257 + 0.231049i
\(169\) 2.51879 + 12.6628i 0.193753 + 0.974063i
\(170\) −17.2986 6.28441i −1.32674 0.481992i
\(171\) 6.40880 + 3.42557i 0.490093 + 0.261960i
\(172\) 3.01352 + 0.629896i 0.229779 + 0.0480292i
\(173\) 7.41239 0.730057i 0.563554 0.0555052i 0.187771 0.982213i \(-0.439874\pi\)
0.375783 + 0.926708i \(0.377374\pi\)
\(174\) −3.10534 8.81346i −0.235415 0.668147i
\(175\) 0.704951 + 1.70190i 0.0532893 + 0.128652i
\(176\) −0.432478 + 0.506593i −0.0325992 + 0.0381859i
\(177\) 0.0922930 0.222815i 0.00693717 0.0167478i
\(178\) 7.98686 + 0.431237i 0.598640 + 0.0323226i
\(179\) 12.2332 14.9062i 0.914353 1.11414i −0.0787493 0.996894i \(-0.525093\pi\)
0.993103 0.117248i \(-0.0374073\pi\)
\(180\) 3.35137 1.35022i 0.249796 0.100640i
\(181\) 2.51201 + 8.28100i 0.186716 + 0.615522i 0.999459 + 0.0328983i \(0.0104738\pi\)
−0.812742 + 0.582623i \(0.802026\pi\)
\(182\) 7.63000 0.337725i 0.565573 0.0250338i
\(183\) 11.3732 + 7.59935i 0.840734 + 0.561760i
\(184\) 12.5001 8.99155i 0.921517 0.662866i
\(185\) −7.61748 11.4004i −0.560048 0.838171i
\(186\) −7.62042 1.16821i −0.558756 0.0856573i
\(187\) 0.927294 0.761011i 0.0678105 0.0556506i
\(188\) −2.78313 3.45919i −0.202981 0.252287i
\(189\) 0.500127 + 0.935671i 0.0363789 + 0.0680601i
\(190\) −11.1320 + 14.8584i −0.807597 + 1.07794i
\(191\) 10.1106i 0.731576i −0.930698 0.365788i \(-0.880799\pi\)
0.930698 0.365788i \(-0.119201\pi\)
\(192\) 1.78852 7.79751i 0.129075 0.562737i
\(193\) 4.22490i 0.304115i 0.988372 + 0.152057i \(0.0485898\pi\)
−0.988372 + 0.152057i \(0.951410\pi\)
\(194\) −4.39361 3.29169i −0.315443 0.236330i
\(195\) −4.33493 8.11009i −0.310431 0.580776i
\(196\) −1.26502 + 11.6805i −0.0903588 + 0.834320i
\(197\) 3.34820 2.74780i 0.238550 0.195773i −0.507521 0.861639i \(-0.669438\pi\)
0.746071 + 0.665867i \(0.231938\pi\)
\(198\) −0.0356849 + 0.232778i −0.00253602 + 0.0165428i
\(199\) −3.17642 4.75384i −0.225170 0.336991i 0.701633 0.712539i \(-0.252455\pi\)
−0.926803 + 0.375548i \(0.877455\pi\)
\(200\) −1.12379 4.78070i −0.0794640 0.338047i
\(201\) 8.43127 + 5.63360i 0.594696 + 0.397363i
\(202\) −0.566870 12.8069i −0.0398849 0.901093i
\(203\) 2.03498 + 6.70843i 0.142827 + 0.470839i
\(204\) −5.64248 + 13.2567i −0.395053 + 0.928155i
\(205\) −4.19419 + 5.11064i −0.292935 + 0.356942i
\(206\) −0.239463 + 4.43505i −0.0166842 + 0.309005i
\(207\) 2.08334 5.02963i 0.144802 0.349583i
\(208\) −20.2205 2.38873i −1.40204 0.165628i
\(209\) −0.463082 1.11798i −0.0320321 0.0773323i
\(210\) −2.55654 + 0.900771i −0.176418 + 0.0621591i
\(211\) 15.5588 1.53241i 1.07111 0.105496i 0.452944 0.891539i \(-0.350374\pi\)
0.618171 + 0.786044i \(0.287874\pi\)
\(212\) −7.97521 12.1903i −0.547740 0.837231i
\(213\) 5.18616 + 2.77206i 0.355350 + 0.189939i
\(214\) 5.16125 14.2070i 0.352816 0.971167i
\(215\) 0.542526 + 2.72746i 0.0370000 + 0.186011i
\(216\) −0.913993 2.67668i −0.0621893 0.182125i
\(217\) 5.67251 + 1.12833i 0.385075 + 0.0765962i
\(218\) −3.82746 15.6010i −0.259229 1.05663i
\(219\) −12.4124 1.22251i −0.838749 0.0826096i
\(220\) −0.574037 0.180235i −0.0387016 0.0121515i
\(221\) 35.0903 + 10.6445i 2.36043 + 0.716027i
\(222\) −9.23291 + 5.47326i −0.619673 + 0.367341i
\(223\) 7.46202 7.46202i 0.499694 0.499694i −0.411649 0.911343i \(-0.635047\pi\)
0.911343 + 0.411649i \(0.135047\pi\)
\(224\) −1.59911 + 5.78466i −0.106845 + 0.386504i
\(225\) −1.22775 1.22775i −0.0818502 0.0818502i
\(226\) 20.6248 + 5.27275i 1.37194 + 0.350738i
\(227\) −7.80296 + 25.7229i −0.517901 + 1.70729i 0.173514 + 0.984831i \(0.444488\pi\)
−0.691415 + 0.722458i \(0.743012\pi\)
\(228\) 11.1447 + 9.32871i 0.738075 + 0.617809i
\(229\) 0.0614433 0.623844i 0.00406029 0.0412248i −0.992941 0.118609i \(-0.962157\pi\)
0.997001 + 0.0773837i \(0.0246567\pi\)
\(230\) 11.8951 + 7.20838i 0.784343 + 0.475306i
\(231\) 0.0344668 0.173276i 0.00226775 0.0114007i
\(232\) −2.47279 18.5247i −0.162347 1.21621i
\(233\) −6.12233 + 1.21781i −0.401087 + 0.0797811i −0.391512 0.920173i \(-0.628048\pi\)
−0.00957491 + 0.999954i \(0.503048\pi\)
\(234\) −6.52244 + 3.04624i −0.426385 + 0.199139i
\(235\) 1.89049 3.53686i 0.123322 0.230719i
\(236\) 0.271858 0.398436i 0.0176964 0.0259360i
\(237\) 1.55776 + 15.8162i 0.101188 + 1.02737i
\(238\) 4.66863 9.74830i 0.302623 0.631888i
\(239\) −21.6521 + 8.96859i −1.40056 + 0.580130i −0.949896 0.312565i \(-0.898812\pi\)
−0.450661 + 0.892695i \(0.648812\pi\)
\(240\) 7.11346 1.27192i 0.459172 0.0821023i
\(241\) −10.8475 4.49319i −0.698750 0.289432i 0.00489024 0.999988i \(-0.498443\pi\)
−0.703640 + 0.710556i \(0.748443\pi\)
\(242\) −11.5479 + 10.3647i −0.742326 + 0.666271i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) 19.1556 + 19.5311i 1.22631 + 1.25035i
\(245\) −10.1555 + 3.08065i −0.648813 + 0.196815i
\(246\) 3.81786 + 3.49420i 0.243418 + 0.222782i
\(247\) 20.5507 30.7563i 1.30761 1.95698i
\(248\) −14.4404 5.40529i −0.916966 0.343236i
\(249\) 2.49080 1.66430i 0.157848 0.105471i
\(250\) 13.8731 10.1850i 0.877414 0.644157i
\(251\) −3.15753 3.84746i −0.199301 0.242849i 0.663763 0.747943i \(-0.268958\pi\)
−0.863065 + 0.505093i \(0.831458\pi\)
\(252\) 0.596214 + 2.03641i 0.0375579 + 0.128282i
\(253\) −0.799506 + 0.427345i −0.0502645 + 0.0268669i
\(254\) 8.17382 1.17196i 0.512871 0.0735350i
\(255\) −13.0141 −0.814977
\(256\) 6.69214 14.5332i 0.418259 0.908328i
\(257\) 5.66447 0.353340 0.176670 0.984270i \(-0.443467\pi\)
0.176670 + 0.984270i \(0.443467\pi\)
\(258\) 2.15490 0.308967i 0.134158 0.0192355i
\(259\) 7.10134 3.79575i 0.441256 0.235856i
\(260\) −5.16779 17.6509i −0.320493 1.09466i
\(261\) −4.19180 5.10773i −0.259466 0.316160i
\(262\) 9.10836 6.68694i 0.562716 0.413121i
\(263\) −7.79903 + 5.21115i −0.480909 + 0.321333i −0.772286 0.635275i \(-0.780887\pi\)
0.291377 + 0.956608i \(0.405887\pi\)
\(264\) −0.165114 + 0.441106i −0.0101620 + 0.0271482i
\(265\) 7.31043 10.9408i 0.449076 0.672090i
\(266\) −8.04313 7.36129i −0.493156 0.451349i
\(267\) 5.41225 1.64179i 0.331224 0.100476i
\(268\) 14.2005 + 14.4789i 0.867436 + 0.884442i
\(269\) 0.0707896 + 0.0580955i 0.00431612 + 0.00354215i 0.636549 0.771236i \(-0.280361\pi\)
−0.632233 + 0.774779i \(0.717861\pi\)
\(270\) 1.90134 1.70654i 0.115712 0.103857i
\(271\) 8.18602 + 3.39076i 0.497265 + 0.205974i 0.617198 0.786808i \(-0.288268\pi\)
−0.119933 + 0.992782i \(0.538268\pi\)
\(272\) −16.4709 + 23.6436i −0.998696 + 1.43360i
\(273\) 4.98942 2.06668i 0.301973 0.125081i
\(274\) −4.01812 + 8.39000i −0.242743 + 0.506858i
\(275\) 0.0283400 + 0.287741i 0.00170897 + 0.0173514i
\(276\) 6.13667 8.99394i 0.369384 0.541372i
\(277\) −0.0304626 + 0.0569916i −0.00183032 + 0.00342429i −0.882835 0.469684i \(-0.844368\pi\)
0.881004 + 0.473108i \(0.156868\pi\)
\(278\) 8.93993 4.17530i 0.536181 0.250418i
\(279\) −5.34665 + 1.06352i −0.320096 + 0.0636710i
\(280\) −5.37351 + 0.717288i −0.321129 + 0.0428662i
\(281\) −6.25756 + 31.4589i −0.373295 + 1.87668i 0.0987611 + 0.995111i \(0.468512\pi\)
−0.472056 + 0.881569i \(0.656488\pi\)
\(282\) −2.68490 1.62703i −0.159883 0.0968882i
\(283\) 2.98559 30.3132i 0.177475 1.80193i −0.333935 0.942596i \(-0.608376\pi\)
0.511410 0.859337i \(-0.329124\pi\)
\(284\) 9.01857 + 7.54903i 0.535153 + 0.447953i
\(285\) −3.81088 + 12.5628i −0.225737 + 0.744156i
\(286\) 1.16140 + 0.296912i 0.0686748 + 0.0175568i
\(287\) −2.74545 2.74545i −0.162059 0.162059i
\(288\) −0.694009 5.61412i −0.0408949 0.330815i
\(289\) 24.6741 24.6741i 1.45142 1.45142i
\(290\) 14.5217 8.60847i 0.852746 0.505507i
\(291\) −3.71479 1.12687i −0.217765 0.0660583i
\(292\) −23.7993 7.47247i −1.39275 0.437293i
\(293\) 4.30861 + 0.424361i 0.251712 + 0.0247914i 0.223086 0.974799i \(-0.428387\pi\)
0.0286256 + 0.999590i \(0.490887\pi\)
\(294\) 1.97946 + 8.06838i 0.115444 + 0.470557i
\(295\) 0.427325 + 0.0850002i 0.0248798 + 0.00494890i
\(296\) −20.3149 + 6.93682i −1.18078 + 0.403194i
\(297\) 0.0324868 + 0.163322i 0.00188508 + 0.00947692i
\(298\) 2.77521 7.63909i 0.160763 0.442520i
\(299\) −24.4394 13.0632i −1.41337 0.755462i
\(300\) −1.90116 2.90596i −0.109764 0.167776i
\(301\) −1.62528 + 0.160076i −0.0936794 + 0.00922662i
\(302\) −12.9575 + 4.56545i −0.745621 + 0.262712i
\(303\) −3.46893 8.37473i −0.199285 0.481116i
\(304\) 18.0005 + 22.8232i 1.03240 + 1.30900i
\(305\) −9.45653 + 22.8301i −0.541480 + 1.30725i
\(306\) −0.549267 + 10.1729i −0.0313995 + 0.581544i
\(307\) −18.4719 + 22.5081i −1.05425 + 1.28461i −0.0970187 + 0.995283i \(0.530931\pi\)
−0.957231 + 0.289325i \(0.906569\pi\)
\(308\) 0.138380 0.325117i 0.00788496 0.0185253i
\(309\) 0.911675 + 3.00539i 0.0518634 + 0.170971i
\(310\) −0.615873 13.9140i −0.0349792 0.790263i
\(311\) 22.8792 + 15.2874i 1.29736 + 0.866868i 0.996233 0.0867168i \(-0.0276375\pi\)
0.301126 + 0.953584i \(0.402638\pi\)
\(312\) −14.0155 + 3.29458i −0.793469 + 0.186519i
\(313\) 9.00434 + 13.4759i 0.508955 + 0.761705i 0.993594 0.113009i \(-0.0360489\pi\)
−0.484639 + 0.874714i \(0.661049\pi\)
\(314\) 3.75936 24.5229i 0.212153 1.38391i
\(315\) −1.48161 + 1.21592i −0.0834792 + 0.0685096i
\(316\) −3.42243 + 31.6007i −0.192527 + 1.77768i
\(317\) 13.5216 + 25.2971i 0.759446 + 1.42082i 0.902313 + 0.431082i \(0.141868\pi\)
−0.142866 + 0.989742i \(0.545632\pi\)
\(318\) −8.24368 6.17617i −0.462282 0.346342i
\(319\) 1.10031i 0.0616054i
\(320\) 14.4464 + 0.420816i 0.807580 + 0.0235243i
\(321\) 10.6882i 0.596558i
\(322\) −4.89760 + 6.53710i −0.272933 + 0.364298i
\(323\) −24.6771 46.1676i −1.37307 2.56883i
\(324\) −1.25372 1.55826i −0.0696511 0.0865702i
\(325\) −6.83207 + 5.60694i −0.378975 + 0.311017i
\(326\) 8.26770 + 1.26744i 0.457905 + 0.0701969i
\(327\) −6.31055 9.44440i −0.348974 0.522277i
\(328\) 6.04434 + 8.40285i 0.333743 + 0.463970i
\(329\) 1.95827 + 1.30847i 0.107963 + 0.0721385i
\(330\) −0.425027 + 0.0188128i −0.0233970 + 0.00103561i
\(331\) 6.48419 + 21.3755i 0.356403 + 1.17490i 0.933605 + 0.358303i \(0.116644\pi\)
−0.577202 + 0.816601i \(0.695856\pi\)
\(332\) 5.55725 2.23894i 0.304994 0.122878i
\(333\) −4.81478 + 5.86682i −0.263848 + 0.321500i
\(334\) −8.79863 0.475067i −0.481440 0.0259945i
\(335\) −7.01038 + 16.9245i −0.383018 + 0.924687i
\(336\) 0.333898 + 4.23063i 0.0182156 + 0.230800i
\(337\) −1.88135 4.54198i −0.102484 0.247417i 0.864318 0.502946i \(-0.167751\pi\)
−0.966802 + 0.255529i \(0.917751\pi\)
\(338\) 6.06768 + 17.2211i 0.330038 + 0.936703i
\(339\) 14.9805 1.47545i 0.813628 0.0801354i
\(340\) −25.4776 5.32542i −1.38172 0.288812i
\(341\) 0.800589 + 0.427924i 0.0433543 + 0.0231734i
\(342\) 9.65923 + 3.50910i 0.522311 + 0.189751i
\(343\) −2.66475 13.3966i −0.143883 0.723348i
\(344\) 4.34505 + 0.276928i 0.234270 + 0.0149309i
\(345\) 9.64604 + 1.91872i 0.519325 + 0.103300i
\(346\) 10.2301 2.50979i 0.549971 0.134927i
\(347\) −0.782963 0.0771151i −0.0420317 0.00413976i 0.0769795 0.997033i \(-0.475472\pi\)
−0.119011 + 0.992893i \(0.537972\pi\)
\(348\) −6.11616 11.7147i −0.327860 0.627971i
\(349\) 2.32842 + 0.706319i 0.124637 + 0.0378084i 0.351987 0.936005i \(-0.385506\pi\)
−0.227350 + 0.973813i \(0.573006\pi\)
\(350\) 1.32846 + 2.24099i 0.0710091 + 0.119786i
\(351\) −3.59937 + 3.59937i −0.192120 + 0.192120i
\(352\) −0.503743 + 0.795983i −0.0268496 + 0.0424261i
\(353\) −4.12457 4.12457i −0.219529 0.219529i 0.588771 0.808300i \(-0.299612\pi\)
−0.808300 + 0.588771i \(0.799612\pi\)
\(354\) 0.0844782 0.330443i 0.00448996 0.0175628i
\(355\) −3.08386 + 10.1661i −0.163675 + 0.539563i
\(356\) 11.2673 0.999404i 0.597168 0.0529683i
\(357\) 0.749128 7.60602i 0.0396480 0.402553i
\(358\) 14.1333 23.3226i 0.746970 1.23264i
\(359\) 3.75965 18.9010i 0.198427 0.997559i −0.745274 0.666759i \(-0.767681\pi\)
0.943701 0.330801i \(-0.107319\pi\)
\(360\) 4.42056 2.56285i 0.232984 0.135074i
\(361\) −33.1577 + 6.59547i −1.74514 + 0.347130i
\(362\) 5.17869 + 11.0883i 0.272186 + 0.582791i
\(363\) −5.17229 + 9.67668i −0.271475 + 0.507894i
\(364\) 10.6134 2.00424i 0.556295 0.105051i
\(365\) −2.20855 22.4238i −0.115601 1.17371i
\(366\) 17.4467 + 8.35552i 0.911952 + 0.436750i
\(367\) −4.50399 + 1.86562i −0.235107 + 0.0973843i −0.497126 0.867678i \(-0.665611\pi\)
0.262020 + 0.965063i \(0.415611\pi\)
\(368\) 15.6941 15.0962i 0.818109 0.786945i
\(369\) 3.38104 + 1.40047i 0.176010 + 0.0729057i
\(370\) −12.9519 14.4304i −0.673339 0.750200i
\(371\) 5.97349 + 4.90232i 0.310128 + 0.254516i
\(372\) −10.9023 0.105833i −0.565257 0.00548716i
\(373\) −7.26277 + 2.20314i −0.376052 + 0.114074i −0.472652 0.881249i \(-0.656703\pi\)
0.0966000 + 0.995323i \(0.469203\pi\)
\(374\) 1.14537 1.25146i 0.0592256 0.0647114i
\(375\) 6.76107 10.1187i 0.349140 0.522525i
\(376\) −4.59041 4.28389i −0.236732 0.220925i
\(377\) −27.9660 + 18.6863i −1.44032 + 0.962392i
\(378\) 0.887930 + 1.20946i 0.0456702 + 0.0622079i
\(379\) −19.4960 23.7559i −1.00144 1.22026i −0.975364 0.220601i \(-0.929198\pi\)
−0.0260779 0.999660i \(-0.508302\pi\)
\(380\) −12.6013 + 23.0347i −0.646431 + 1.18165i
\(381\) 5.14942 2.75242i 0.263813 0.141011i
\(382\) −2.02936 14.1538i −0.103831 0.724170i
\(383\) −35.9413 −1.83651 −0.918257 0.395985i \(-0.870403\pi\)
−0.918257 + 0.395985i \(0.870403\pi\)
\(384\) 0.938660 11.2747i 0.0479008 0.575360i
\(385\) 0.319168 0.0162663
\(386\) 0.848005 + 5.91442i 0.0431623 + 0.301036i
\(387\) 1.35756 0.725633i 0.0690088 0.0368860i
\(388\) −6.81130 3.72617i −0.345791 0.189167i
\(389\) −10.1556 12.3747i −0.514910 0.627420i 0.449037 0.893513i \(-0.351767\pi\)
−0.963947 + 0.266093i \(0.914267\pi\)
\(390\) −7.69629 10.4832i −0.389717 0.530838i
\(391\) −32.6082 + 21.7881i −1.64907 + 1.10187i
\(392\) 0.573559 + 16.6054i 0.0289691 + 0.838699i
\(393\) 4.43896 6.64337i 0.223916 0.335114i
\(394\) 4.13561 4.51868i 0.208349 0.227648i
\(395\) −27.4751 + 8.33447i −1.38242 + 0.419353i
\(396\) −0.00323283 + 0.333028i −0.000162456 + 0.0167353i
\(397\) −8.63652 7.08781i −0.433455 0.355727i 0.392222 0.919871i \(-0.371706\pi\)
−0.825677 + 0.564143i \(0.809206\pi\)
\(398\) −5.40083 6.01733i −0.270719 0.301622i
\(399\) −7.12288 2.95039i −0.356590 0.147704i
\(400\) −2.53276 6.46693i −0.126638 0.323347i
\(401\) −23.3125 + 9.65635i −1.16417 + 0.482215i −0.879261 0.476340i \(-0.841963\pi\)
−0.284909 + 0.958555i \(0.591963\pi\)
\(402\) 12.9337 + 6.19417i 0.645073 + 0.308937i
\(403\) 2.71989 + 27.6155i 0.135487 + 1.37563i
\(404\) −3.36412 17.8146i −0.167371 0.886311i
\(405\) 0.851611 1.59325i 0.0423169 0.0791694i
\(406\) 4.19525 + 8.98265i 0.208207 + 0.445802i
\(407\) 1.23955 0.246561i 0.0614421 0.0122216i
\(408\) −5.23806 + 19.6906i −0.259323 + 0.974828i
\(409\) −3.35856 + 16.8846i −0.166070 + 0.834890i 0.804478 + 0.593982i \(0.202445\pi\)
−0.970548 + 0.240907i \(0.922555\pi\)
\(410\) −4.84565 + 7.99621i −0.239310 + 0.394905i
\(411\) −0.644746 + 6.54622i −0.0318030 + 0.322901i
\(412\) 0.554963 + 6.25669i 0.0273411 + 0.308245i
\(413\) −0.0742757 + 0.244854i −0.00365487 + 0.0120485i
\(414\) 1.90693 7.45912i 0.0937207 0.366596i
\(415\) 3.82677 + 3.82677i 0.187849 + 0.187849i
\(416\) −28.7861 + 0.714609i −1.41135 + 0.0350366i
\(417\) 4.93344 4.93344i 0.241592 0.241592i
\(418\) −0.872664 1.47211i −0.0426834 0.0720032i
\(419\) −14.9561 4.53688i −0.730653 0.221641i −0.0970285 0.995282i \(-0.530934\pi\)
−0.633625 + 0.773640i \(0.718434\pi\)
\(420\) −3.39809 + 1.77413i −0.165810 + 0.0865685i
\(421\) −11.6633 1.14874i −0.568435 0.0559860i −0.190283 0.981729i \(-0.560941\pi\)
−0.378153 + 0.925743i \(0.623441\pi\)
\(422\) 21.4732 5.26813i 1.04530 0.256449i
\(423\) −2.17724 0.433080i −0.105861 0.0210571i
\(424\) −13.6113 15.4644i −0.661021 0.751016i
\(425\) 2.44018 + 12.2676i 0.118366 + 0.595067i
\(426\) 7.81649 + 2.83966i 0.378710 + 0.137582i
\(427\) −12.7985 6.84097i −0.619365 0.331058i
\(428\) 4.37365 20.9242i 0.211408 1.01141i
\(429\) 0.843561 0.0830835i 0.0407275 0.00401131i
\(430\) 1.30693 + 3.70928i 0.0630256 + 0.178877i
\(431\) 6.05643 + 14.6215i 0.291728 + 0.704294i 0.999999 0.00164718i \(-0.000524313\pi\)
−0.708271 + 0.705941i \(0.750524\pi\)
\(432\) −1.81675 3.56363i −0.0874084 0.171455i
\(433\) 3.79496 9.16184i 0.182374 0.440290i −0.806081 0.591805i \(-0.798415\pi\)
0.988455 + 0.151516i \(0.0484154\pi\)
\(434\) 8.16741 + 0.440985i 0.392048 + 0.0211680i
\(435\) 7.57279 9.22747i 0.363087 0.442423i
\(436\) −8.48942 21.0715i −0.406570 1.00914i
\(437\) 11.4839 + 37.8575i 0.549352 + 1.81097i
\(438\) −17.6214 + 0.779971i −0.841983 + 0.0372685i
\(439\) 12.2394 + 8.17809i 0.584153 + 0.390319i 0.812241 0.583322i \(-0.198247\pi\)
−0.228088 + 0.973641i \(0.573247\pi\)
\(440\) −0.839769 0.137093i −0.0400344 0.00653563i
\(441\) 3.26364 + 4.88438i 0.155411 + 0.232589i
\(442\) 51.2593 + 7.85804i 2.43816 + 0.373769i
\(443\) 15.4024 12.6405i 0.731792 0.600566i −0.192929 0.981213i \(-0.561799\pi\)
0.924721 + 0.380647i \(0.124299\pi\)
\(444\) −11.8266 + 9.51520i −0.561264 + 0.451571i
\(445\) 4.81653 + 9.01110i 0.228326 + 0.427167i
\(446\) 8.94831 11.9438i 0.423715 0.565556i
\(447\) 5.74706i 0.271827i
\(448\) −1.07752 + 8.41889i −0.0509079 + 0.397755i
\(449\) 38.8926i 1.83545i −0.397211 0.917727i \(-0.630022\pi\)
0.397211 0.917727i \(-0.369978\pi\)
\(450\) −1.96516 1.47230i −0.0926384 0.0694048i
\(451\) −0.287272 0.537448i −0.0135271 0.0253074i
\(452\) 29.9309 + 3.24159i 1.40783 + 0.152471i
\(453\) −7.50935 + 6.16277i −0.352820 + 0.289552i
\(454\) −5.76034 + 37.5756i −0.270346 + 1.76351i
\(455\) 5.42036 + 8.11215i 0.254111 + 0.380303i
\(456\) 17.4738 + 10.8223i 0.818288 + 0.506802i
\(457\) −29.9406 20.0057i −1.40056 0.935827i −0.999807 0.0196423i \(-0.993747\pi\)
−0.400757 0.916185i \(-0.631253\pi\)
\(458\) −0.0392013 0.885651i −0.00183176 0.0413837i
\(459\) 2.09115 + 6.89359i 0.0976064 + 0.321765i
\(460\) 18.0988 + 7.70344i 0.843862 + 0.359175i
\(461\) −16.8176 + 20.4923i −0.783274 + 0.954423i −0.999761 0.0218631i \(-0.993040\pi\)
0.216487 + 0.976286i \(0.430540\pi\)
\(462\) 0.0134706 0.249487i 0.000626710 0.0116072i
\(463\) 14.2024 34.2877i 0.660043 1.59348i −0.137692 0.990475i \(-0.543968\pi\)
0.797735 0.603009i \(-0.206032\pi\)
\(464\) −7.17987 25.4364i −0.333317 1.18086i
\(465\) −3.76879 9.09867i −0.174774 0.421941i
\(466\) −8.32619 + 2.93365i −0.385704 + 0.135899i
\(467\) 25.6349 2.52481i 1.18624 0.116834i 0.514413 0.857542i \(-0.328010\pi\)
0.671827 + 0.740708i \(0.265510\pi\)
\(468\) −8.51932 + 5.57358i −0.393806 + 0.257639i
\(469\) −9.48790 5.07139i −0.438110 0.234175i
\(470\) 1.93659 5.33069i 0.0893281 0.245886i
\(471\) −3.42244 17.2058i −0.157698 0.792801i
\(472\) 0.300600 0.612336i 0.0138363 0.0281851i
\(473\) −0.251406 0.0500078i −0.0115597 0.00229936i
\(474\) 5.35528 + 21.8284i 0.245976 + 1.00261i
\(475\) 12.5567 + 1.23673i 0.576142 + 0.0567450i
\(476\) 4.57897 14.5837i 0.209877 0.668442i
\(477\) −6.97002 2.11433i −0.319135 0.0968087i
\(478\) −28.5106 + 16.9010i −1.30404 + 0.773035i
\(479\) 15.6150 15.6150i 0.713467 0.713467i −0.253792 0.967259i \(-0.581678\pi\)
0.967259 + 0.253792i \(0.0816778\pi\)
\(480\) 9.70282 3.20835i 0.442871 0.146440i
\(481\) 27.3177 + 27.3177i 1.24558 + 1.24558i
\(482\) −16.0873 4.11273i −0.732755 0.187330i
\(483\) −1.67663 + 5.52712i −0.0762894 + 0.251492i
\(484\) −14.0855 + 16.8274i −0.640249 + 0.764883i
\(485\) 0.687395 6.97924i 0.0312130 0.316911i
\(486\) −1.20947 0.732930i −0.0548626 0.0332464i
\(487\) −2.15792 + 10.8486i −0.0977849 + 0.491598i 0.900593 + 0.434663i \(0.143133\pi\)
−0.998378 + 0.0569345i \(0.981867\pi\)
\(488\) 30.7361 + 23.4968i 1.39136 + 1.06365i
\(489\) 5.80080 1.15385i 0.262321 0.0521789i
\(490\) −13.5984 + 6.35097i −0.614312 + 0.286908i
\(491\) −12.3075 + 23.0257i −0.555429 + 1.03913i 0.434911 + 0.900474i \(0.356780\pi\)
−0.990340 + 0.138661i \(0.955720\pi\)
\(492\) 6.04595 + 4.12522i 0.272572 + 0.185979i
\(493\) 4.66557 + 47.3703i 0.210127 + 2.13345i
\(494\) 22.5956 47.1806i 1.01662 2.12275i
\(495\) −0.277934 + 0.115124i −0.0124922 + 0.00517444i
\(496\) −21.3000 4.66844i −0.956398 0.209619i
\(497\) −5.76401 2.38753i −0.258551 0.107095i
\(498\) 3.15281 2.82979i 0.141281 0.126806i
\(499\) −4.64722 3.81388i −0.208038 0.170733i 0.524604 0.851346i \(-0.324213\pi\)
−0.732643 + 0.680614i \(0.761713\pi\)
\(500\) 17.3767 17.0426i 0.777108 0.762166i
\(501\) −5.96235 + 1.80866i −0.266378 + 0.0808049i
\(502\) −5.19246 4.75228i −0.231751 0.212105i
\(503\) −14.2809 + 21.3729i −0.636755 + 0.952971i 0.363021 + 0.931781i \(0.381745\pi\)
−0.999775 + 0.0211900i \(0.993255\pi\)
\(504\) 1.24338 + 2.73109i 0.0553845 + 0.121653i
\(505\) 13.6162 9.09807i 0.605914 0.404859i
\(506\) −1.03345 + 0.758713i −0.0459425 + 0.0337289i
\(507\) 8.19058 + 9.98026i 0.363757 + 0.443239i
\(508\) 11.2073 3.28124i 0.497243 0.145581i
\(509\) −23.2248 + 12.4139i −1.02942 + 0.550236i −0.897495 0.441024i \(-0.854615\pi\)
−0.131924 + 0.991260i \(0.542115\pi\)
\(510\) −18.2185 + 2.61215i −0.806727 + 0.115668i
\(511\) 13.2326 0.585374
\(512\) 6.45125 21.6883i 0.285108 0.958496i
\(513\) 7.26686 0.320840
\(514\) 7.92968 1.13695i 0.349763 0.0501488i
\(515\) −5.00381 + 2.67459i −0.220494 + 0.117857i
\(516\) 2.95462 0.865045i 0.130070 0.0380815i
\(517\) 0.234511 + 0.285752i 0.0103138 + 0.0125674i
\(518\) 9.17929 6.73901i 0.403315 0.296095i
\(519\) 6.19300 4.13803i 0.271842 0.181639i
\(520\) −10.7772 23.6722i −0.472611 1.03810i
\(521\) 17.7943 26.6311i 0.779583 1.16673i −0.202684 0.979244i \(-0.564967\pi\)
0.982268 0.187485i \(-0.0600335\pi\)
\(522\) −6.89330 6.30893i −0.301712 0.276134i
\(523\) −34.4313 + 10.4446i −1.50557 + 0.456711i −0.932005 0.362446i \(-0.881942\pi\)
−0.573569 + 0.819157i \(0.694442\pi\)
\(524\) 11.4086 11.1892i 0.498387 0.488804i
\(525\) 1.42398 + 1.16863i 0.0621477 + 0.0510033i
\(526\) −9.87188 + 8.86046i −0.430434 + 0.386334i
\(527\) 36.2814 + 15.0282i 1.58044 + 0.654640i
\(528\) −0.142605 + 0.650644i −0.00620609 + 0.0283156i
\(529\) 6.13220 2.54004i 0.266617 0.110436i
\(530\) 8.03786 16.7834i 0.349142 0.729023i
\(531\) −0.0236391 0.240012i −0.00102585 0.0104156i
\(532\) −12.7371 8.69066i −0.552223 0.376788i
\(533\) 8.78137 16.4288i 0.380364 0.711610i
\(534\) 7.24706 3.38466i 0.313611 0.146469i
\(535\) 18.9380 3.76700i 0.818761 0.162862i
\(536\) 22.7855 + 17.4188i 0.984182 + 0.752376i
\(537\) 3.76199 18.9128i 0.162342 0.816148i
\(538\) 0.110759 + 0.0671191i 0.00477515 + 0.00289371i
\(539\) 0.0958819 0.973505i 0.00412993 0.0419318i
\(540\) 2.31916 2.77061i 0.0998005 0.119228i
\(541\) 11.9815 39.4979i 0.515127 1.69815i −0.183809 0.982962i \(-0.558843\pi\)
0.698936 0.715184i \(-0.253657\pi\)
\(542\) 12.1402 + 3.10365i 0.521465 + 0.133313i
\(543\) 6.11903 + 6.11903i 0.262593 + 0.262593i
\(544\) −18.3119 + 36.4046i −0.785118 + 1.56083i
\(545\) 14.5100 14.5100i 0.621541 0.621541i
\(546\) 6.56986 3.89460i 0.281164 0.166674i
\(547\) −9.00127 2.73051i −0.384867 0.116748i 0.0919215 0.995766i \(-0.470699\pi\)
−0.476788 + 0.879018i \(0.658199\pi\)
\(548\) −3.94095 + 12.5516i −0.168349 + 0.536180i
\(549\) 13.6126 + 1.34072i 0.580972 + 0.0572207i
\(550\) 0.0974273 + 0.397119i 0.00415431 + 0.0169332i
\(551\) 47.0937 + 9.36753i 2.00626 + 0.399070i
\(552\) 6.78548 13.8223i 0.288809 0.588317i
\(553\) −3.28949 16.5374i −0.139883 0.703240i
\(554\) −0.0312054 + 0.0858968i −0.00132579 + 0.00364940i
\(555\) −12.0921 6.46337i −0.513281 0.274355i
\(556\) 11.6769 7.63937i 0.495212 0.323982i
\(557\) −16.3816 + 1.61345i −0.694113 + 0.0683641i −0.438920 0.898526i \(-0.644639\pi\)
−0.255193 + 0.966890i \(0.582139\pi\)
\(558\) −7.27130 + 2.56197i −0.307819 + 0.108457i
\(559\) −2.99855 7.23914i −0.126825 0.306183i
\(560\) −7.37839 + 2.08268i −0.311794 + 0.0880093i
\(561\) 0.459062 1.10827i 0.0193816 0.0467914i
\(562\) −2.44564 + 45.2952i −0.103163 + 1.91066i
\(563\) −0.381084 + 0.464353i −0.0160608 + 0.0195701i −0.780979 0.624557i \(-0.785279\pi\)
0.764918 + 0.644128i \(0.222779\pi\)
\(564\) −4.08515 1.73877i −0.172016 0.0732155i
\(565\) 7.89407 + 26.0233i 0.332106 + 1.09481i
\(566\) −1.90483 43.0346i −0.0800660 1.80888i
\(567\) 0.882145 + 0.589430i 0.0370466 + 0.0247537i
\(568\) 14.1403 + 8.75770i 0.593313 + 0.367465i
\(569\) 25.9413 + 38.8239i 1.08751 + 1.62758i 0.714306 + 0.699834i \(0.246742\pi\)
0.373209 + 0.927747i \(0.378258\pi\)
\(570\) −2.81329 + 18.3515i −0.117836 + 0.768661i
\(571\) −7.02772 + 5.76750i −0.294101 + 0.241362i −0.769859 0.638214i \(-0.779674\pi\)
0.475758 + 0.879576i \(0.342174\pi\)
\(572\) 1.68543 + 0.182536i 0.0704714 + 0.00763221i
\(573\) −4.76610 8.91674i −0.199107 0.372502i
\(574\) −4.39440 3.29229i −0.183419 0.137417i
\(575\) 9.45249i 0.394196i
\(576\) −2.09839 7.71989i −0.0874328 0.321662i
\(577\) 15.2925i 0.636634i 0.947984 + 0.318317i \(0.103118\pi\)
−0.947984 + 0.318317i \(0.896882\pi\)
\(578\) 29.5887 39.4937i 1.23073 1.64272i
\(579\) 1.99160 + 3.72603i 0.0827682 + 0.154848i
\(580\) 18.6011 14.9657i 0.772368 0.621418i
\(581\) −2.45681 + 2.01625i −0.101926 + 0.0836481i
\(582\) −5.42651 0.831884i −0.224936 0.0344827i
\(583\) 0.673845 + 1.00848i 0.0279078 + 0.0417670i
\(584\) −34.8164 5.68379i −1.44071 0.235197i
\(585\) −7.64614 5.10899i −0.316129 0.211231i
\(586\) 6.11679 0.270746i 0.252682 0.0111844i
\(587\) −9.69562 31.9622i −0.400181 1.31922i −0.893379 0.449303i \(-0.851672\pi\)
0.493198 0.869917i \(-0.335828\pi\)
\(588\) 4.39049 + 10.8976i 0.181061 + 0.449409i
\(589\) 25.1312 30.6225i 1.03551 1.26178i
\(590\) 0.615272 + 0.0332205i 0.0253303 + 0.00136767i
\(591\) 1.65755 4.00168i 0.0681824 0.164607i
\(592\) −27.0464 + 13.7884i −1.11160 + 0.566698i
\(593\) −15.9551 38.5191i −0.655198 1.58179i −0.805135 0.593092i \(-0.797907\pi\)
0.149937 0.988696i \(-0.452093\pi\)
\(594\) 0.0782597 + 0.222114i 0.00321103 + 0.00911344i
\(595\) 13.7408 1.35335i 0.563318 0.0554820i
\(596\) 2.35171 11.2510i 0.0963300 0.460858i
\(597\) −5.04229 2.69516i −0.206367 0.110306i
\(598\) −36.8347 13.3817i −1.50628 0.547218i
\(599\) −0.696724 3.50267i −0.0284674 0.143115i 0.963938 0.266128i \(-0.0857444\pi\)
−0.992405 + 0.123013i \(0.960744\pi\)
\(600\) −3.24470 3.68645i −0.132464 0.150499i
\(601\) 33.4206 + 6.64777i 1.36325 + 0.271168i 0.821903 0.569628i \(-0.192913\pi\)
0.541352 + 0.840796i \(0.317913\pi\)
\(602\) −2.24309 + 0.550309i −0.0914216 + 0.0224289i
\(603\) 10.0914 + 0.993914i 0.410953 + 0.0404753i
\(604\) −17.2228 + 8.99194i −0.700786 + 0.365877i
\(605\) −18.9686 5.75407i −0.771185 0.233936i
\(606\) −6.53709 11.0275i −0.265551 0.447961i
\(607\) −21.6484 + 21.6484i −0.878682 + 0.878682i −0.993398 0.114717i \(-0.963404\pi\)
0.114717 + 0.993398i \(0.463404\pi\)
\(608\) 29.7799 + 28.3371i 1.20773 + 1.14922i
\(609\) 4.95702 + 4.95702i 0.200869 + 0.200869i
\(610\) −8.65581 + 33.8579i −0.350463 + 1.37087i
\(611\) −3.28018 + 10.8133i −0.132702 + 0.437460i
\(612\) 1.27294 + 14.3512i 0.0514556 + 0.580114i
\(613\) 1.33899 13.5950i 0.0540812 0.549095i −0.929524 0.368761i \(-0.879782\pi\)
0.983605 0.180334i \(-0.0577180\pi\)
\(614\) −21.3411 + 35.2167i −0.861256 + 1.42123i
\(615\) −1.28981 + 6.48431i −0.0520101 + 0.261472i
\(616\) 0.128462 0.482906i 0.00517589 0.0194568i
\(617\) 25.5139 5.07502i 1.02715 0.204313i 0.347369 0.937728i \(-0.387075\pi\)
0.679781 + 0.733416i \(0.262075\pi\)
\(618\) 1.87948 + 4.02425i 0.0756039 + 0.161879i
\(619\) 14.4508 27.0355i 0.580825 1.08665i −0.404271 0.914639i \(-0.632475\pi\)
0.985096 0.172008i \(-0.0550254\pi\)
\(620\) −3.65493 19.3546i −0.146785 0.777299i
\(621\) −0.533608 5.41781i −0.0214130 0.217409i
\(622\) 35.0969 + 16.8085i 1.40726 + 0.673961i
\(623\) −5.54373 + 2.29629i −0.222105 + 0.0919988i
\(624\) −18.9589 + 7.42521i −0.758964 + 0.297246i
\(625\) 12.2910 + 5.09111i 0.491641 + 0.203645i
\(626\) 15.3100 + 17.0576i 0.611910 + 0.681760i
\(627\) −0.935414 0.767674i −0.0373568 0.0306580i
\(628\) 0.340574 35.0841i 0.0135904 1.40001i
\(629\) 52.3194 15.8709i 2.08611 0.632815i
\(630\) −1.83004 + 1.99955i −0.0729107 + 0.0796641i
\(631\) −6.76043 + 10.1177i −0.269128 + 0.402779i −0.941276 0.337638i \(-0.890372\pi\)
0.672148 + 0.740417i \(0.265372\pi\)
\(632\) 1.55172 + 44.9247i 0.0617242 + 1.78701i
\(633\) 12.9993 8.68585i 0.516676 0.345232i
\(634\) 24.0063 + 32.6993i 0.953413 + 1.29865i
\(635\) 6.69179 + 8.15397i 0.265555 + 0.323580i
\(636\) −12.7800 6.99137i −0.506758 0.277226i
\(637\) 26.3715 14.0958i 1.04487 0.558497i
\(638\) 0.220849 + 1.54032i 0.00874351 + 0.0609818i
\(639\) 5.88053 0.232630
\(640\) 20.3080 2.31053i 0.802744 0.0913318i
\(641\) −29.3115 −1.15773 −0.578867 0.815422i \(-0.696505\pi\)
−0.578867 + 0.815422i \(0.696505\pi\)
\(642\) −2.14530 14.9624i −0.0846682 0.590519i
\(643\) −14.2088 + 7.59478i −0.560342 + 0.299509i −0.727148 0.686481i \(-0.759155\pi\)
0.166806 + 0.985990i \(0.446655\pi\)
\(644\) −5.54404 + 10.1343i −0.218466 + 0.399347i
\(645\) 1.76418 + 2.14966i 0.0694646 + 0.0846429i
\(646\) −43.8120 59.6768i −1.72376 2.34795i
\(647\) 17.2759 11.5434i 0.679185 0.453817i −0.167528 0.985867i \(-0.553578\pi\)
0.846713 + 0.532050i \(0.178578\pi\)
\(648\) −2.06785 1.92977i −0.0812327 0.0758085i
\(649\) −0.0223121 + 0.0333924i −0.000875825 + 0.00131077i
\(650\) −8.43880 + 9.22045i −0.330997 + 0.361656i
\(651\) 5.53460 1.67890i 0.216918 0.0658014i
\(652\) 11.8283 + 0.114822i 0.463233 + 0.00449677i
\(653\) −5.93806 4.87324i −0.232374 0.190705i 0.510999 0.859581i \(-0.329276\pi\)
−0.743374 + 0.668876i \(0.766776\pi\)
\(654\) −10.7298 11.9546i −0.419567 0.467461i
\(655\) 13.3356 + 5.52378i 0.521064 + 0.215832i
\(656\) 10.1480 + 10.5499i 0.396215 + 0.411906i
\(657\) −11.5230 + 4.77299i −0.449555 + 0.186212i
\(658\) 3.00401 + 1.43867i 0.117108 + 0.0560853i
\(659\) −0.262062 2.66076i −0.0102085 0.103648i 0.988730 0.149708i \(-0.0478335\pi\)
−0.998939 + 0.0460599i \(0.985333\pi\)
\(660\) −0.591218 + 0.111646i −0.0230131 + 0.00434581i
\(661\) −15.9005 + 29.7477i −0.618458 + 1.15705i 0.356423 + 0.934325i \(0.383996\pi\)
−0.974881 + 0.222728i \(0.928504\pi\)
\(662\) 13.3676 + 28.6220i 0.519547 + 1.11243i
\(663\) 35.9646 7.15381i 1.39675 0.277831i
\(664\) 7.33019 4.24972i 0.284467 0.164921i
\(665\) 2.71726 13.6606i 0.105371 0.529734i
\(666\) −5.56263 + 9.17935i −0.215547 + 0.355693i
\(667\) 3.52586 35.7986i 0.136522 1.38613i
\(668\) −12.4125 + 1.10098i −0.480256 + 0.0425983i
\(669\) 3.06334 10.0985i 0.118436 0.390430i
\(670\) −6.41678 + 25.0997i −0.247902 + 0.969687i
\(671\) −1.61062 1.61062i −0.0621774 0.0621774i
\(672\) 1.31658 + 5.85543i 0.0507881 + 0.225878i
\(673\) −4.27111 + 4.27111i −0.164639 + 0.164639i −0.784618 0.619979i \(-0.787141\pi\)
0.619979 + 0.784618i \(0.287141\pi\)
\(674\) −3.54535 5.98069i −0.136562 0.230368i
\(675\) −1.66154 0.504023i −0.0639527 0.0193998i
\(676\) 11.9507 + 22.8899i 0.459642 + 0.880380i
\(677\) 10.0847 + 0.993260i 0.387588 + 0.0381741i 0.289935 0.957046i \(-0.406366\pi\)
0.0976532 + 0.995221i \(0.468866\pi\)
\(678\) 20.6750 5.07230i 0.794019 0.194801i
\(679\) 4.03940 + 0.803487i 0.155018 + 0.0308350i
\(680\) −36.7350 2.34127i −1.40872 0.0897836i
\(681\) 5.24410 + 26.3639i 0.200954 + 1.01027i
\(682\) 1.20663 + 0.438358i 0.0462044 + 0.0167856i
\(683\) 40.4033 + 21.5960i 1.54599 + 0.826349i 0.999935 0.0114006i \(-0.00362900\pi\)
0.546055 + 0.837749i \(0.316129\pi\)
\(684\) 14.2263 + 2.97362i 0.543955 + 0.113699i
\(685\) −11.8262 + 1.16478i −0.451856 + 0.0445039i
\(686\) −6.41928 18.2190i −0.245089 0.695604i
\(687\) −0.239890 0.579146i −0.00915237 0.0220958i
\(688\) 6.13821 0.484452i 0.234017 0.0184695i
\(689\) −14.1883 + 34.2536i −0.540531 + 1.30496i
\(690\) 13.8886 + 0.749891i 0.528729 + 0.0285478i
\(691\) −10.4888 + 12.7806i −0.399011 + 0.486197i −0.933296 0.359108i \(-0.883081\pi\)
0.534285 + 0.845305i \(0.320581\pi\)
\(692\) 13.8173 5.56679i 0.525254 0.211617i
\(693\) −0.0512849 0.169063i −0.00194815 0.00642219i
\(694\) −1.11155 + 0.0492001i −0.0421937 + 0.00186761i
\(695\) 10.4801 + 7.00259i 0.397534 + 0.265623i
\(696\) −10.9133 15.1717i −0.413668 0.575082i
\(697\) −14.6465 21.9201i −0.554776 0.830281i
\(698\) 3.40132 + 0.521422i 0.128742 + 0.0197361i
\(699\) −4.82534 + 3.96005i −0.182511 + 0.149783i
\(700\) 2.30951 + 2.87052i 0.0872913 + 0.108495i
\(701\) 11.9151 + 22.2915i 0.450026 + 0.841939i 0.999977 + 0.00674236i \(0.00214618\pi\)
−0.549952 + 0.835197i \(0.685354\pi\)
\(702\) −4.31629 + 5.76120i −0.162908 + 0.217442i
\(703\) 55.1524i 2.08011i
\(704\) −0.545422 + 1.21540i −0.0205564 + 0.0458073i
\(705\) 4.01040i 0.151040i
\(706\) −6.60184 4.94610i −0.248463 0.186149i
\(707\) 4.53352 + 8.48162i 0.170501 + 0.318984i
\(708\) 0.0519356 0.479542i 0.00195186 0.0180223i
\(709\) −18.9527 + 15.5541i −0.711785 + 0.584147i −0.919051 0.394138i \(-0.871043\pi\)
0.207267 + 0.978285i \(0.433543\pi\)
\(710\) −2.27659 + 14.8505i −0.0854387 + 0.557331i
\(711\) 8.82954 + 13.2143i 0.331134 + 0.495576i
\(712\) 15.5725 3.66060i 0.583605 0.137187i
\(713\) −24.6760 16.4880i −0.924123 0.617479i
\(714\) −0.477949 10.7980i −0.0178868 0.404105i
\(715\) 0.444520 + 1.46539i 0.0166241 + 0.0548024i
\(716\) 15.1040 35.4860i 0.564463 1.32617i
\(717\) −14.8677 + 18.1163i −0.555244 + 0.676566i
\(718\) 1.46938 27.2142i 0.0548368 1.01562i
\(719\) −17.2535 + 41.6535i −0.643445 + 1.55341i 0.178556 + 0.983930i \(0.442857\pi\)
−0.822002 + 0.569485i \(0.807143\pi\)
\(720\) 5.67393 4.47500i 0.211455 0.166773i
\(721\) −1.27511 3.07840i −0.0474877 0.114646i
\(722\) −45.0935 + 15.8883i −1.67821 + 0.591300i
\(723\) −11.6847 + 1.15085i −0.434560 + 0.0428004i
\(724\) 9.47525 + 14.4831i 0.352145 + 0.538260i
\(725\) −10.1181 5.40823i −0.375776 0.200856i
\(726\) −5.29841 + 14.5845i −0.196643 + 0.541282i
\(727\) 0.632174 + 3.17816i 0.0234461 + 0.117871i 0.990736 0.135802i \(-0.0433611\pi\)
−0.967290 + 0.253673i \(0.918361\pi\)
\(728\) 14.4554 4.93602i 0.535754 0.182941i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −7.59256 30.9477i −0.281013 1.14543i
\(731\) −11.0356 1.08691i −0.408165 0.0402007i
\(732\) 26.1006 + 8.19504i 0.964707 + 0.302898i
\(733\) −16.7115 5.06939i −0.617255 0.187242i −0.0338543 0.999427i \(-0.510778\pi\)
−0.583401 + 0.812185i \(0.698278\pi\)
\(734\) −5.93067 + 3.51570i −0.218905 + 0.129767i
\(735\) −7.50417 + 7.50417i −0.276796 + 0.276796i
\(736\) 18.9400 24.2832i 0.698138 0.895091i
\(737\) −1.19400 1.19400i −0.0439815 0.0439815i
\(738\) 5.01420 + 1.28189i 0.184575 + 0.0471870i
\(739\) −6.37167 + 21.0046i −0.234386 + 0.772665i 0.758297 + 0.651910i \(0.226032\pi\)
−0.992682 + 0.120756i \(0.961468\pi\)
\(740\) −21.0278 17.6014i −0.772997 0.647040i
\(741\) 3.62568 36.8122i 0.133193 1.35233i
\(742\) 9.34625 + 5.66376i 0.343112 + 0.207923i
\(743\) 2.38031 11.9666i 0.0873250 0.439013i −0.912244 0.409648i \(-0.865652\pi\)
0.999569 0.0293647i \(-0.00934843\pi\)
\(744\) −15.2833 + 2.04011i −0.560314 + 0.0747941i
\(745\) 10.1830 2.02552i 0.373075 0.0742093i
\(746\) −9.72493 + 4.54192i −0.356055 + 0.166292i
\(747\) 1.41214 2.64194i 0.0516676 0.0966634i
\(748\) 1.35221 1.98181i 0.0494418 0.0724621i
\(749\) 1.11148 + 11.2850i 0.0406125 + 0.412346i
\(750\) 7.43383 15.5221i 0.271445 0.566788i
\(751\) −17.0530 + 7.06358i −0.622273 + 0.257754i −0.671466 0.741036i \(-0.734335\pi\)
0.0491932 + 0.998789i \(0.484335\pi\)
\(752\) −7.28595 5.07563i −0.265691 0.185089i
\(753\) −4.59837 1.90471i −0.167574 0.0694114i
\(754\) −35.3989 + 31.7721i −1.28915 + 1.15707i
\(755\) −13.5662 11.1335i −0.493724 0.405189i
\(756\) 1.48577 + 1.51490i 0.0540369 + 0.0550963i
\(757\) −47.6125 + 14.4431i −1.73051 + 0.524943i −0.989244 0.146273i \(-0.953272\pi\)
−0.741262 + 0.671216i \(0.765772\pi\)
\(758\) −32.0606 29.3427i −1.16449 1.06578i
\(759\) −0.503652 + 0.753769i −0.0182814 + 0.0273601i
\(760\) −13.0171 + 34.7754i −0.472178 + 1.26144i
\(761\) −12.8969 + 8.61740i −0.467511 + 0.312381i −0.766918 0.641745i \(-0.778211\pi\)
0.299408 + 0.954125i \(0.403211\pi\)
\(762\) 6.65621 4.88668i 0.241129 0.177026i
\(763\) 7.64505 + 9.31552i 0.276769 + 0.337244i
\(764\) −5.68179 19.4065i −0.205560 0.702103i
\(765\) −11.4774 + 6.13482i −0.414968 + 0.221805i
\(766\) −50.3141 + 7.21400i −1.81792 + 0.260652i
\(767\) −1.22764 −0.0443274
\(768\) −0.948987 15.9718i −0.0342436 0.576334i
\(769\) 18.9809 0.684467 0.342234 0.939615i \(-0.388817\pi\)
0.342234 + 0.939615i \(0.388817\pi\)
\(770\) 0.446803 0.0640622i 0.0161017 0.00230864i
\(771\) 4.99562 2.67021i 0.179913 0.0961654i
\(772\) 2.37424 + 8.10938i 0.0854508 + 0.291863i
\(773\) −5.15185 6.27755i −0.185299