Properties

Label 300.2.n.a.191.47
Level $300$
Weight $2$
Character 300.191
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 191.47
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.47

$q$-expansion

\(f(q)\) \(=\) \(q+(1.24461 + 0.671529i) q^{2} +(-0.339606 + 1.69843i) q^{3} +(1.09810 + 1.67158i) q^{4} +(2.10329 - 0.759058i) q^{5} +(-1.56322 + 1.88583i) q^{6} +0.738888i q^{7} +(0.244189 + 2.81787i) q^{8} +(-2.76934 - 1.15359i) q^{9} +O(q^{10})\) \(q+(1.24461 + 0.671529i) q^{2} +(-0.339606 + 1.69843i) q^{3} +(1.09810 + 1.67158i) q^{4} +(2.10329 - 0.759058i) q^{5} +(-1.56322 + 1.88583i) q^{6} +0.738888i q^{7} +(0.244189 + 2.81787i) q^{8} +(-2.76934 - 1.15359i) q^{9} +(3.12750 + 0.467689i) q^{10} +(-1.63157 - 1.18541i) q^{11} +(-3.21198 + 1.29737i) q^{12} +(3.83758 - 2.78817i) q^{13} +(-0.496184 + 0.919626i) q^{14} +(0.574919 + 3.83007i) q^{15} +(-1.58836 + 3.67112i) q^{16} +(-3.35436 - 1.08990i) q^{17} +(-2.67207 - 3.29546i) q^{18} +(-2.82939 - 0.919326i) q^{19} +(3.57845 + 2.68230i) q^{20} +(-1.25495 - 0.250931i) q^{21} +(-1.23464 - 2.57102i) q^{22} +(1.01379 + 0.736564i) q^{23} +(-4.86888 - 0.542225i) q^{24} +(3.84766 - 3.19304i) q^{25} +(6.64862 - 0.893130i) q^{26} +(2.89978 - 4.31176i) q^{27} +(-1.23511 + 0.811372i) q^{28} +(-7.24833 + 2.35512i) q^{29} +(-1.85646 + 5.15302i) q^{30} +(6.78818 + 2.20561i) q^{31} +(-4.44214 + 3.50248i) q^{32} +(2.56743 - 2.36854i) q^{33} +(-3.44296 - 3.60904i) q^{34} +(0.560859 + 1.55410i) q^{35} +(-1.11268 - 5.89593i) q^{36} +(-0.994956 + 0.722878i) q^{37} +(-2.90413 - 3.04422i) q^{38} +(3.43225 + 7.46475i) q^{39} +(2.65253 + 5.74144i) q^{40} +(-1.02181 - 1.40641i) q^{41} +(-1.39341 - 1.15505i) q^{42} -2.44596i q^{43} +(0.189874 - 4.02900i) q^{44} +(-6.70036 - 0.324255i) q^{45} +(0.767152 + 1.59753i) q^{46} +(-3.13833 - 9.65878i) q^{47} +(-5.69573 - 3.94445i) q^{48} +6.45404 q^{49} +(6.93305 - 1.39027i) q^{50} +(2.99027 - 5.32701i) q^{51} +(8.87469 + 3.35314i) q^{52} +(11.6976 - 3.80078i) q^{53} +(6.50456 - 3.41916i) q^{54} +(-4.33147 - 1.25480i) q^{55} +(-2.08209 + 0.180429i) q^{56} +(2.52229 - 4.49332i) q^{57} +(-10.6029 - 1.93625i) q^{58} +(-3.97523 + 2.88818i) q^{59} +(-5.77096 + 5.16682i) q^{60} +(5.09556 + 3.70214i) q^{61} +(6.96749 + 7.30358i) q^{62} +(0.852377 - 2.04623i) q^{63} +(-7.88074 + 1.37619i) q^{64} +(5.95517 - 8.77728i) q^{65} +(4.78598 - 1.22381i) q^{66} +(8.81266 + 2.86341i) q^{67} +(-1.86157 - 6.80389i) q^{68} +(-1.59529 + 1.47172i) q^{69} +(-0.345570 + 2.31087i) q^{70} +(-4.32943 - 13.3246i) q^{71} +(2.57443 - 8.08531i) q^{72} +(-4.33209 - 3.14745i) q^{73} +(-1.72376 + 0.231558i) q^{74} +(4.11647 + 7.61936i) q^{75} +(-1.57023 - 5.73907i) q^{76} +(0.875884 - 1.20555i) q^{77} +(-0.740992 + 11.5955i) q^{78} +(-14.7649 + 4.79739i) q^{79} +(-0.554183 + 8.92709i) q^{80} +(6.33844 + 6.38938i) q^{81} +(-0.327316 - 2.43660i) q^{82} +(-0.885035 + 2.72386i) q^{83} +(-0.958609 - 2.37330i) q^{84} +(-7.88248 + 0.253784i) q^{85} +(1.64253 - 3.04426i) q^{86} +(-1.53844 - 13.1106i) q^{87} +(2.94191 - 4.88702i) q^{88} +(-7.36821 + 10.1415i) q^{89} +(-8.12158 - 4.90306i) q^{90} +(2.06014 + 2.83555i) q^{91} +(-0.117980 + 2.50346i) q^{92} +(-6.05139 + 10.7802i) q^{93} +(2.58016 - 14.1289i) q^{94} +(-6.64886 + 0.214066i) q^{95} +(-4.44014 - 8.73414i) q^{96} +(2.66343 + 8.19720i) q^{97} +(8.03276 + 4.33407i) q^{98} +(3.15090 + 5.16497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24461 + 0.671529i 0.880071 + 0.474842i
\(3\) −0.339606 + 1.69843i −0.196071 + 0.980590i
\(4\) 1.09810 + 1.67158i 0.549049 + 0.835790i
\(5\) 2.10329 0.759058i 0.940620 0.339461i
\(6\) −1.56322 + 1.88583i −0.638182 + 0.769885i
\(7\) 0.738888i 0.279273i 0.990203 + 0.139637i \(0.0445935\pi\)
−0.990203 + 0.139637i \(0.955407\pi\)
\(8\) 0.244189 + 2.81787i 0.0863340 + 0.996266i
\(9\) −2.76934 1.15359i −0.923112 0.384531i
\(10\) 3.12750 + 0.467689i 0.989003 + 0.147896i
\(11\) −1.63157 1.18541i −0.491938 0.357414i 0.313991 0.949426i \(-0.398334\pi\)
−0.805929 + 0.592012i \(0.798334\pi\)
\(12\) −3.21198 + 1.29737i −0.927220 + 0.374518i
\(13\) 3.83758 2.78817i 1.06435 0.773299i 0.0894654 0.995990i \(-0.471484\pi\)
0.974889 + 0.222691i \(0.0714842\pi\)
\(14\) −0.496184 + 0.919626i −0.132611 + 0.245780i
\(15\) 0.574919 + 3.83007i 0.148443 + 0.988921i
\(16\) −1.58836 + 3.67112i −0.397089 + 0.917780i
\(17\) −3.35436 1.08990i −0.813551 0.264339i −0.127450 0.991845i \(-0.540679\pi\)
−0.686101 + 0.727506i \(0.740679\pi\)
\(18\) −2.67207 3.29546i −0.629812 0.776747i
\(19\) −2.82939 0.919326i −0.649108 0.210908i −0.0340869 0.999419i \(-0.510852\pi\)
−0.615021 + 0.788511i \(0.710852\pi\)
\(20\) 3.57845 + 2.68230i 0.800165 + 0.599780i
\(21\) −1.25495 0.250931i −0.273853 0.0547576i
\(22\) −1.23464 2.57102i −0.263225 0.548143i
\(23\) 1.01379 + 0.736564i 0.211391 + 0.153584i 0.688443 0.725291i \(-0.258295\pi\)
−0.477052 + 0.878875i \(0.658295\pi\)
\(24\) −4.86888 0.542225i −0.993856 0.110681i
\(25\) 3.84766 3.19304i 0.769532 0.638608i
\(26\) 6.64862 0.893130i 1.30390 0.175157i
\(27\) 2.89978 4.31176i 0.558063 0.829798i
\(28\) −1.23511 + 0.811372i −0.233414 + 0.153335i
\(29\) −7.24833 + 2.35512i −1.34598 + 0.437336i −0.891339 0.453338i \(-0.850233\pi\)
−0.454642 + 0.890674i \(0.650233\pi\)
\(30\) −1.85646 + 5.15302i −0.338941 + 0.940808i
\(31\) 6.78818 + 2.20561i 1.21919 + 0.396140i 0.846788 0.531930i \(-0.178533\pi\)
0.372405 + 0.928070i \(0.378533\pi\)
\(32\) −4.44214 + 3.50248i −0.785268 + 0.619156i
\(33\) 2.56743 2.36854i 0.446931 0.412311i
\(34\) −3.44296 3.60904i −0.590463 0.618945i
\(35\) 0.560859 + 1.55410i 0.0948025 + 0.262690i
\(36\) −1.11268 5.89593i −0.185447 0.982654i
\(37\) −0.994956 + 0.722878i −0.163570 + 0.118840i −0.666559 0.745452i \(-0.732234\pi\)
0.502989 + 0.864293i \(0.332234\pi\)
\(38\) −2.90413 3.04422i −0.471113 0.493838i
\(39\) 3.43225 + 7.46475i 0.549599 + 1.19532i
\(40\) 2.65253 + 5.74144i 0.419401 + 0.907801i
\(41\) −1.02181 1.40641i −0.159581 0.219644i 0.721738 0.692166i \(-0.243344\pi\)
−0.881319 + 0.472522i \(0.843344\pi\)
\(42\) −1.39341 1.15505i −0.215009 0.178227i
\(43\) 2.44596i 0.373005i −0.982455 0.186502i \(-0.940285\pi\)
0.982455 0.186502i \(-0.0597152\pi\)
\(44\) 0.189874 4.02900i 0.0286246 0.607395i
\(45\) −6.70036 0.324255i −0.998831 0.0483371i
\(46\) 0.767152 + 1.59753i 0.113110 + 0.235542i
\(47\) −3.13833 9.65878i −0.457772 1.40888i −0.867849 0.496827i \(-0.834498\pi\)
0.410077 0.912051i \(-0.365502\pi\)
\(48\) −5.69573 3.94445i −0.822108 0.569332i
\(49\) 6.45404 0.922006
\(50\) 6.93305 1.39027i 0.980481 0.196614i
\(51\) 2.99027 5.32701i 0.418722 0.745930i
\(52\) 8.87469 + 3.35314i 1.23070 + 0.464997i
\(53\) 11.6976 3.80078i 1.60679 0.522077i 0.638014 0.770025i \(-0.279756\pi\)
0.968773 + 0.247948i \(0.0797562\pi\)
\(54\) 6.50456 3.41916i 0.885159 0.465289i
\(55\) −4.33147 1.25480i −0.584055 0.169197i
\(56\) −2.08209 + 0.180429i −0.278231 + 0.0241108i
\(57\) 2.52229 4.49332i 0.334086 0.595155i
\(58\) −10.6029 1.93625i −1.39222 0.254242i
\(59\) −3.97523 + 2.88818i −0.517531 + 0.376009i −0.815673 0.578513i \(-0.803633\pi\)
0.298142 + 0.954522i \(0.403633\pi\)
\(60\) −5.77096 + 5.16682i −0.745027 + 0.667034i
\(61\) 5.09556 + 3.70214i 0.652419 + 0.474010i 0.864094 0.503330i \(-0.167892\pi\)
−0.211675 + 0.977340i \(0.567892\pi\)
\(62\) 6.96749 + 7.30358i 0.884873 + 0.927556i
\(63\) 0.852377 2.04623i 0.107389 0.257801i
\(64\) −7.88074 + 1.37619i −0.985093 + 0.172023i
\(65\) 5.95517 8.77728i 0.738648 1.08869i
\(66\) 4.78598 1.22381i 0.589114 0.150641i
\(67\) 8.81266 + 2.86341i 1.07664 + 0.349821i 0.793070 0.609131i \(-0.208482\pi\)
0.283569 + 0.958952i \(0.408482\pi\)
\(68\) −1.86157 6.80389i −0.225748 0.825092i
\(69\) −1.59529 + 1.47172i −0.192051 + 0.177174i
\(70\) −0.345570 + 2.31087i −0.0413035 + 0.276202i
\(71\) −4.32943 13.3246i −0.513808 1.58134i −0.785440 0.618938i \(-0.787563\pi\)
0.271631 0.962401i \(-0.412437\pi\)
\(72\) 2.57443 8.08531i 0.303400 0.952863i
\(73\) −4.33209 3.14745i −0.507033 0.368381i 0.304664 0.952460i \(-0.401456\pi\)
−0.811697 + 0.584079i \(0.801456\pi\)
\(74\) −1.72376 + 0.231558i −0.200383 + 0.0269181i
\(75\) 4.11647 + 7.61936i 0.475329 + 0.879808i
\(76\) −1.57023 5.73907i −0.180118 0.658316i
\(77\) 0.875884 1.20555i 0.0998162 0.137385i
\(78\) −0.740992 + 11.5955i −0.0839008 + 1.31294i
\(79\) −14.7649 + 4.79739i −1.66118 + 0.539749i −0.981118 0.193410i \(-0.938045\pi\)
−0.680058 + 0.733158i \(0.738045\pi\)
\(80\) −0.554183 + 8.92709i −0.0619595 + 0.998079i
\(81\) 6.33844 + 6.38938i 0.704271 + 0.709931i
\(82\) −0.327316 2.43660i −0.0361460 0.269078i
\(83\) −0.885035 + 2.72386i −0.0971453 + 0.298982i −0.987807 0.155684i \(-0.950242\pi\)
0.890662 + 0.454667i \(0.150242\pi\)
\(84\) −0.958609 2.37330i −0.104593 0.258948i
\(85\) −7.88248 + 0.253784i −0.854975 + 0.0275267i
\(86\) 1.64253 3.04426i 0.177118 0.328271i
\(87\) −1.53844 13.1106i −0.164938 1.40560i
\(88\) 2.94191 4.88702i 0.313608 0.520958i
\(89\) −7.36821 + 10.1415i −0.781029 + 1.07499i 0.214139 + 0.976803i \(0.431306\pi\)
−0.995168 + 0.0981907i \(0.968694\pi\)
\(90\) −8.12158 4.90306i −0.856090 0.516827i
\(91\) 2.06014 + 2.83555i 0.215962 + 0.297246i
\(92\) −0.117980 + 2.50346i −0.0123003 + 0.261004i
\(93\) −6.05139 + 10.7802i −0.627500 + 1.11786i
\(94\) 2.58016 14.1289i 0.266123 1.45728i
\(95\) −6.64886 + 0.214066i −0.682159 + 0.0219627i
\(96\) −4.44014 8.73414i −0.453170 0.891424i
\(97\) 2.66343 + 8.19720i 0.270430 + 0.832299i 0.990392 + 0.138286i \(0.0441592\pi\)
−0.719962 + 0.694013i \(0.755841\pi\)
\(98\) 8.03276 + 4.33407i 0.811431 + 0.437808i
\(99\) 3.15090 + 5.16497i 0.316677 + 0.519099i
\(100\) 9.56253 + 2.92540i 0.956253 + 0.292540i
\(101\) 17.6364i 1.75489i 0.479681 + 0.877443i \(0.340753\pi\)
−0.479681 + 0.877443i \(0.659247\pi\)
\(102\) 7.29895 4.62198i 0.722704 0.457644i
\(103\) −5.21717 + 1.69516i −0.514063 + 0.167029i −0.554549 0.832151i \(-0.687109\pi\)
0.0404864 + 0.999180i \(0.487109\pi\)
\(104\) 8.79378 + 10.1330i 0.862301 + 0.993618i
\(105\) −2.83000 + 0.424801i −0.276179 + 0.0414563i
\(106\) 17.1112 + 3.12479i 1.66199 + 0.303506i
\(107\) −6.48954 −0.627367 −0.313684 0.949528i \(-0.601563\pi\)
−0.313684 + 0.949528i \(0.601563\pi\)
\(108\) 10.3917 + 0.112480i 0.999941 + 0.0108234i
\(109\) −6.74713 + 4.90208i −0.646258 + 0.469534i −0.861994 0.506918i \(-0.830785\pi\)
0.215736 + 0.976452i \(0.430785\pi\)
\(110\) −4.54835 4.47043i −0.433668 0.426239i
\(111\) −0.889865 1.93536i −0.0844623 0.183696i
\(112\) −2.71255 1.17362i −0.256312 0.110897i
\(113\) −2.26858 3.12244i −0.213410 0.293734i 0.688869 0.724886i \(-0.258107\pi\)
−0.902280 + 0.431152i \(0.858107\pi\)
\(114\) 6.15666 3.89864i 0.576624 0.365141i
\(115\) 2.69140 + 0.779680i 0.250974 + 0.0727055i
\(116\) −11.8962 9.53000i −1.10453 0.884838i
\(117\) −13.8440 + 3.29436i −1.27988 + 0.304564i
\(118\) −6.88710 + 0.925165i −0.634009 + 0.0851684i
\(119\) 0.805311 2.47849i 0.0738228 0.227203i
\(120\) −10.6522 + 2.55531i −0.972413 + 0.233267i
\(121\) −2.14234 6.59346i −0.194759 0.599405i
\(122\) 3.85588 + 8.02952i 0.349095 + 0.726959i
\(123\) 2.73570 1.25786i 0.246670 0.113417i
\(124\) 3.76724 + 13.7690i 0.338308 + 1.23649i
\(125\) 5.66904 9.63649i 0.507055 0.861914i
\(126\) 2.43498 1.97436i 0.216925 0.175890i
\(127\) 1.06653 1.46796i 0.0946396 0.130260i −0.759071 0.651008i \(-0.774347\pi\)
0.853711 + 0.520747i \(0.174347\pi\)
\(128\) −10.7326 3.57933i −0.948635 0.316371i
\(129\) 4.15429 + 0.830661i 0.365765 + 0.0731356i
\(130\) 13.3060 6.92520i 1.16702 0.607381i
\(131\) −5.48334 + 16.8760i −0.479082 + 1.47446i 0.361291 + 0.932453i \(0.382336\pi\)
−0.840373 + 0.542009i \(0.817664\pi\)
\(132\) 6.77850 + 1.69076i 0.589993 + 0.147162i
\(133\) 0.679279 2.09061i 0.0589010 0.181278i
\(134\) 9.04545 + 9.48178i 0.781408 + 0.819101i
\(135\) 2.82621 11.2700i 0.243241 0.969966i
\(136\) 2.25208 9.71827i 0.193115 0.833334i
\(137\) −2.75560 3.79276i −0.235427 0.324037i 0.674914 0.737896i \(-0.264181\pi\)
−0.910341 + 0.413859i \(0.864181\pi\)
\(138\) −2.97382 + 0.760426i −0.253148 + 0.0647318i
\(139\) 12.4665 17.1586i 1.05739 1.45538i 0.175175 0.984537i \(-0.443951\pi\)
0.882219 0.470840i \(-0.156049\pi\)
\(140\) −1.98192 + 2.64407i −0.167503 + 0.223465i
\(141\) 17.4706 2.05006i 1.47129 0.172646i
\(142\) 3.55941 19.4912i 0.298699 1.63567i
\(143\) −9.56642 −0.799984
\(144\) 8.63368 8.33424i 0.719473 0.694520i
\(145\) −13.4577 + 10.4554i −1.11760 + 0.868275i
\(146\) −3.27815 6.82646i −0.271302 0.564962i
\(147\) −2.19183 + 10.9617i −0.180779 + 0.904110i
\(148\) −2.30091 0.869357i −0.189133 0.0714607i
\(149\) 4.19467i 0.343641i 0.985128 + 0.171820i \(0.0549649\pi\)
−0.985128 + 0.171820i \(0.945035\pi\)
\(150\) 0.00677600 + 12.2474i 0.000553258 + 1.00000i
\(151\) 1.91066i 0.155487i 0.996973 + 0.0777437i \(0.0247716\pi\)
−0.996973 + 0.0777437i \(0.975228\pi\)
\(152\) 1.89963 8.19734i 0.154080 0.664892i
\(153\) 8.03204 + 6.88785i 0.649352 + 0.556850i
\(154\) 1.89969 0.912257i 0.153082 0.0735118i
\(155\) 15.9517 0.513581i 1.28127 0.0412518i
\(156\) −8.70898 + 13.9343i −0.697277 + 1.11564i
\(157\) −20.1739 −1.61006 −0.805028 0.593237i \(-0.797850\pi\)
−0.805028 + 0.593237i \(0.797850\pi\)
\(158\) −21.5980 3.94415i −1.71825 0.313780i
\(159\) 2.48279 + 21.1583i 0.196898 + 1.67796i
\(160\) −6.68453 + 10.7386i −0.528459 + 0.848959i
\(161\) −0.544239 + 0.749080i −0.0428920 + 0.0590358i
\(162\) 3.59823 + 12.2087i 0.282703 + 0.959207i
\(163\) −0.834692 1.14885i −0.0653781 0.0899853i 0.775076 0.631868i \(-0.217712\pi\)
−0.840454 + 0.541883i \(0.817712\pi\)
\(164\) 1.22887 3.25242i 0.0959585 0.253971i
\(165\) 3.60218 6.93056i 0.280429 0.539544i
\(166\) −2.93067 + 2.79581i −0.227464 + 0.216997i
\(167\) −3.66202 + 11.2705i −0.283376 + 0.872140i 0.703505 + 0.710690i \(0.251617\pi\)
−0.986881 + 0.161450i \(0.948383\pi\)
\(168\) 0.400644 3.59756i 0.0309103 0.277558i
\(169\) 2.93595 9.03593i 0.225842 0.695071i
\(170\) −9.98102 4.97745i −0.765509 0.381753i
\(171\) 6.77501 + 5.80989i 0.518098 + 0.444294i
\(172\) 4.08861 2.68590i 0.311754 0.204798i
\(173\) 0.315397 0.434107i 0.0239792 0.0330046i −0.796859 0.604165i \(-0.793507\pi\)
0.820838 + 0.571161i \(0.193507\pi\)
\(174\) 6.88938 17.3507i 0.522283 1.31535i
\(175\) 2.35930 + 2.84299i 0.178346 + 0.214910i
\(176\) 6.94330 4.10685i 0.523371 0.309566i
\(177\) −3.55536 7.73250i −0.267237 0.581211i
\(178\) −15.9808 + 7.67420i −1.19781 + 0.575205i
\(179\) −2.22699 6.85397i −0.166453 0.512290i 0.832687 0.553743i \(-0.186801\pi\)
−0.999140 + 0.0414537i \(0.986801\pi\)
\(180\) −6.81564 11.5563i −0.508008 0.861352i
\(181\) −3.38179 + 10.4081i −0.251366 + 0.773626i 0.743158 + 0.669116i \(0.233327\pi\)
−0.994524 + 0.104509i \(0.966673\pi\)
\(182\) 0.659923 + 4.91259i 0.0489167 + 0.364145i
\(183\) −8.01831 + 7.39718i −0.592730 + 0.546815i
\(184\) −1.82798 + 3.03660i −0.134761 + 0.223861i
\(185\) −1.54397 + 2.27565i −0.113515 + 0.167309i
\(186\) −14.7708 + 9.35347i −1.08305 + 0.685830i
\(187\) 4.18091 + 5.75453i 0.305738 + 0.420813i
\(188\) 12.6992 15.8523i 0.926187 1.15615i
\(189\) 3.18591 + 2.14261i 0.231741 + 0.155852i
\(190\) −8.41898 4.19847i −0.610777 0.304589i
\(191\) 6.33074 4.59955i 0.458076 0.332812i −0.334700 0.942325i \(-0.608635\pi\)
0.792776 + 0.609513i \(0.208635\pi\)
\(192\) 0.338989 13.8523i 0.0244644 0.999701i
\(193\) 1.83318 0.131955 0.0659777 0.997821i \(-0.478983\pi\)
0.0659777 + 0.997821i \(0.478983\pi\)
\(194\) −2.18972 + 11.9909i −0.157213 + 0.860894i
\(195\) 12.8852 + 13.0953i 0.922728 + 0.937771i
\(196\) 7.08718 + 10.7884i 0.506227 + 0.770604i
\(197\) 10.0262 3.25772i 0.714340 0.232103i 0.0707724 0.997492i \(-0.477454\pi\)
0.643567 + 0.765389i \(0.277454\pi\)
\(198\) 0.453210 + 8.54428i 0.0322082 + 0.607215i
\(199\) 19.8686i 1.40845i −0.709978 0.704223i \(-0.751295\pi\)
0.709978 0.704223i \(-0.248705\pi\)
\(200\) 9.93712 + 10.0625i 0.702661 + 0.711525i
\(201\) −7.85613 + 13.9953i −0.554129 + 0.987150i
\(202\) −11.8433 + 21.9504i −0.833294 + 1.54442i
\(203\) −1.74017 5.35570i −0.122136 0.375897i
\(204\) 12.1881 0.851102i 0.853340 0.0595890i
\(205\) −3.21672 2.18247i −0.224665 0.152430i
\(206\) −7.63168 1.39367i −0.531724 0.0971013i
\(207\) −1.95784 3.20930i −0.136079 0.223062i
\(208\) 4.14024 + 18.5168i 0.287074 + 1.28391i
\(209\) 3.52659 + 4.85393i 0.243939 + 0.335754i
\(210\) −3.80750 1.37171i −0.262743 0.0946572i
\(211\) −13.5197 + 18.6083i −0.930737 + 1.28105i 0.0288343 + 0.999584i \(0.490820\pi\)
−0.959571 + 0.281465i \(0.909180\pi\)
\(212\) 19.1984 + 15.3798i 1.31855 + 1.05629i
\(213\) 24.1012 2.82812i 1.65139 0.193780i
\(214\) −8.07693 4.35791i −0.552128 0.297901i
\(215\) −1.85662 5.14456i −0.126621 0.350856i
\(216\) 12.8581 + 7.11831i 0.874880 + 0.484340i
\(217\) −1.62970 + 5.01571i −0.110631 + 0.340488i
\(218\) −11.6894 + 1.57028i −0.791708 + 0.106352i
\(219\) 6.81692 6.28886i 0.460645 0.424962i
\(220\) −2.65889 8.61829i −0.179262 0.581045i
\(221\) −15.9114 + 5.16994i −1.07032 + 0.347768i
\(222\) 0.192114 3.00633i 0.0128939 0.201772i
\(223\) 11.1078 15.2886i 0.743833 1.02380i −0.254556 0.967058i \(-0.581929\pi\)
0.998389 0.0567398i \(-0.0180705\pi\)
\(224\) −2.58794 3.28225i −0.172914 0.219304i
\(225\) −14.3389 + 4.40396i −0.955929 + 0.293598i
\(226\) −0.726691 5.40963i −0.0483388 0.359843i
\(227\) 18.1376 + 13.1778i 1.20384 + 0.874639i 0.994657 0.103238i \(-0.0329204\pi\)
0.209181 + 0.977877i \(0.432920\pi\)
\(228\) 10.2807 0.717903i 0.680854 0.0475443i
\(229\) 6.33083 + 19.4843i 0.418353 + 1.28756i 0.909217 + 0.416322i \(0.136681\pi\)
−0.490864 + 0.871236i \(0.663319\pi\)
\(230\) 2.82616 + 2.77775i 0.186351 + 0.183159i
\(231\) 1.75009 + 1.89704i 0.115147 + 0.124816i
\(232\) −8.40639 19.8497i −0.551907 1.30320i
\(233\) 5.52727 + 1.79592i 0.362104 + 0.117655i 0.484418 0.874837i \(-0.339032\pi\)
−0.122314 + 0.992491i \(0.539032\pi\)
\(234\) −19.4426 5.19644i −1.27100 0.339702i
\(235\) −13.9324 17.9330i −0.908849 1.16982i
\(236\) −9.19302 3.47342i −0.598415 0.226100i
\(237\) −3.13381 26.7063i −0.203563 1.73476i
\(238\) 2.66668 2.54396i 0.172855 0.164901i
\(239\) −9.85377 7.15919i −0.637388 0.463089i 0.221564 0.975146i \(-0.428884\pi\)
−0.858952 + 0.512057i \(0.828884\pi\)
\(240\) −14.9738 3.97293i −0.966557 0.256452i
\(241\) 9.23220 6.70758i 0.594698 0.432074i −0.249295 0.968428i \(-0.580199\pi\)
0.843993 + 0.536354i \(0.180199\pi\)
\(242\) 1.76132 9.64492i 0.113222 0.619999i
\(243\) −13.0045 + 8.59554i −0.834238 + 0.551404i
\(244\) −0.592995 + 12.5829i −0.0379626 + 0.805540i
\(245\) 13.5747 4.89900i 0.867258 0.312985i
\(246\) 4.24956 + 0.271561i 0.270942 + 0.0173141i
\(247\) −13.4213 + 4.36084i −0.853975 + 0.277473i
\(248\) −4.55752 + 19.6668i −0.289403 + 1.24884i
\(249\) −4.32572 2.42821i −0.274132 0.153882i
\(250\) 13.5269 8.18673i 0.855517 0.517774i
\(251\) 24.5997 1.55272 0.776358 0.630292i \(-0.217065\pi\)
0.776358 + 0.630292i \(0.217065\pi\)
\(252\) 4.35643 0.822146i 0.274429 0.0517903i
\(253\) −0.780951 2.40352i −0.0490979 0.151108i
\(254\) 2.31319 1.11083i 0.145143 0.0696994i
\(255\) 2.24590 13.4740i 0.140644 0.843777i
\(256\) −10.9542 11.6621i −0.684640 0.728881i
\(257\) 2.38653i 0.148868i 0.997226 + 0.0744339i \(0.0237150\pi\)
−0.997226 + 0.0744339i \(0.976285\pi\)
\(258\) 4.61265 + 3.82357i 0.287171 + 0.238045i
\(259\) −0.534126 0.735161i −0.0331890 0.0456807i
\(260\) 21.2113 + 0.316224i 1.31547 + 0.0196114i
\(261\) 22.7899 + 1.83950i 1.41066 + 0.113862i
\(262\) −18.1573 + 17.3218i −1.12176 + 1.07014i
\(263\) 12.4762 9.06451i 0.769318 0.558942i −0.132436 0.991191i \(-0.542280\pi\)
0.901754 + 0.432250i \(0.142280\pi\)
\(264\) 7.30118 + 6.65629i 0.449357 + 0.409666i
\(265\) 21.7184 16.8733i 1.33415 1.03652i
\(266\) 2.24934 2.14583i 0.137916 0.131569i
\(267\) −14.7223 15.9585i −0.900990 0.976644i
\(268\) 4.89076 + 17.8754i 0.298751 + 1.09191i
\(269\) −21.7376 7.06297i −1.32536 0.430637i −0.441031 0.897492i \(-0.645387\pi\)
−0.884334 + 0.466855i \(0.845387\pi\)
\(270\) 11.0856 12.1288i 0.674650 0.738137i
\(271\) −16.1471 + 5.24650i −0.980865 + 0.318702i −0.755194 0.655501i \(-0.772457\pi\)
−0.225671 + 0.974204i \(0.572457\pi\)
\(272\) 9.32905 10.5831i 0.565657 0.641694i
\(273\) −5.51562 + 2.53605i −0.333820 + 0.153488i
\(274\) −0.882696 6.57096i −0.0533256 0.396966i
\(275\) −10.0628 + 0.648635i −0.606810 + 0.0391142i
\(276\) −4.21188 1.05057i −0.253526 0.0632369i
\(277\) −12.5971 9.15236i −0.756889 0.549912i 0.141065 0.990000i \(-0.454947\pi\)
−0.897955 + 0.440088i \(0.854947\pi\)
\(278\) 27.0384 12.9842i 1.62166 0.778740i
\(279\) −16.2544 13.9389i −0.973124 0.834500i
\(280\) −4.24228 + 1.95992i −0.253525 + 0.117128i
\(281\) −5.62578 1.82793i −0.335606 0.109045i 0.136366 0.990659i \(-0.456458\pi\)
−0.471972 + 0.881614i \(0.656458\pi\)
\(282\) 23.1207 + 9.18047i 1.37682 + 0.546689i
\(283\) 29.2694 + 9.51022i 1.73989 + 0.565324i 0.994819 0.101664i \(-0.0324166\pi\)
0.745069 + 0.666988i \(0.232417\pi\)
\(284\) 17.5190 21.8687i 1.03956 1.29767i
\(285\) 1.89441 11.3653i 0.112215 0.673224i
\(286\) −11.9064 6.42412i −0.704043 0.379866i
\(287\) 1.03918 0.755007i 0.0613407 0.0445666i
\(288\) 16.3422 4.57511i 0.962975 0.269591i
\(289\) −3.68946 2.68055i −0.217027 0.157680i
\(290\) −23.7706 + 3.97569i −1.39586 + 0.233461i
\(291\) −14.8269 + 1.73984i −0.869168 + 0.101991i
\(292\) 0.504146 10.6976i 0.0295029 0.626032i
\(293\) 12.0125i 0.701776i −0.936417 0.350888i \(-0.885880\pi\)
0.936417 0.350888i \(-0.114120\pi\)
\(294\) −10.0891 + 12.1712i −0.588408 + 0.709839i
\(295\) −6.16878 + 9.09211i −0.359160 + 0.529363i
\(296\) −2.27993 2.62713i −0.132518 0.152699i
\(297\) −9.84240 + 3.59753i −0.571114 + 0.208750i
\(298\) −2.81684 + 5.22072i −0.163175 + 0.302428i
\(299\) 5.94419 0.343761
\(300\) −8.21608 + 15.2478i −0.474355 + 0.880333i
\(301\) 1.80729 0.104170
\(302\) −1.28306 + 2.37802i −0.0738320 + 0.136840i
\(303\) −29.9542 5.98942i −1.72082 0.344083i
\(304\) 7.86905 8.92683i 0.451321 0.511989i
\(305\) 13.5276 + 3.91885i 0.774587 + 0.224392i
\(306\) 5.37135 + 13.9664i 0.307060 + 0.798407i
\(307\) 24.1269i 1.37700i 0.725239 + 0.688498i \(0.241729\pi\)
−0.725239 + 0.688498i \(0.758271\pi\)
\(308\) 2.97698 + 0.140296i 0.169629 + 0.00799410i
\(309\) −1.10733 9.43668i −0.0629939 0.536834i
\(310\) 20.1985 + 10.0728i 1.14720 + 0.572098i
\(311\) −15.0379 10.9257i −0.852720 0.619537i 0.0731745 0.997319i \(-0.476687\pi\)
−0.925895 + 0.377782i \(0.876687\pi\)
\(312\) −20.1966 + 11.4944i −1.14340 + 0.650744i
\(313\) −1.95261 + 1.41866i −0.110368 + 0.0801872i −0.641600 0.767039i \(-0.721729\pi\)
0.531232 + 0.847226i \(0.321729\pi\)
\(314\) −25.1087 13.5474i −1.41696 0.764523i
\(315\) 0.239588 4.95082i 0.0134993 0.278947i
\(316\) −24.2325 19.4126i −1.36318 1.09205i
\(317\) 11.1398 + 3.61953i 0.625671 + 0.203293i 0.604657 0.796486i \(-0.293310\pi\)
0.0210145 + 0.999779i \(0.493310\pi\)
\(318\) −11.1183 + 28.0011i −0.623484 + 1.57022i
\(319\) 14.6180 + 4.74967i 0.818449 + 0.265930i
\(320\) −15.5309 + 8.87646i −0.868203 + 0.496209i
\(321\) 2.20388 11.0220i 0.123009 0.615190i
\(322\) −1.18039 + 0.566840i −0.0657807 + 0.0315887i
\(323\) 8.48882 + 6.16749i 0.472331 + 0.343168i
\(324\) −3.72012 + 17.6114i −0.206673 + 0.978410i
\(325\) 5.86299 22.9815i 0.325220 1.27478i
\(326\) −0.267376 1.99039i −0.0148086 0.110238i
\(327\) −6.03448 13.1243i −0.333707 0.725776i
\(328\) 3.71355 3.22277i 0.205047 0.177948i
\(329\) 7.13676 2.31887i 0.393462 0.127844i
\(330\) 9.13737 6.20687i 0.502996 0.341677i
\(331\) −10.7215 3.48361i −0.589305 0.191477i −0.000840117 1.00000i \(-0.500267\pi\)
−0.588465 + 0.808523i \(0.700267\pi\)
\(332\) −5.52500 + 1.51166i −0.303224 + 0.0829631i
\(333\) 3.58927 0.854116i 0.196691 0.0468053i
\(334\) −12.1263 + 11.5683i −0.663520 + 0.632987i
\(335\) 20.7091 0.666749i 1.13146 0.0364284i
\(336\) 2.91451 4.20851i 0.158999 0.229593i
\(337\) 27.8332 20.2220i 1.51617 1.10156i 0.552829 0.833295i \(-0.313548\pi\)
0.963344 0.268269i \(-0.0864517\pi\)
\(338\) 9.72199 9.27462i 0.528807 0.504473i
\(339\) 6.07367 2.79263i 0.329876 0.151675i
\(340\) −9.07996 12.8975i −0.492430 0.699466i
\(341\) −8.46087 11.6454i −0.458182 0.630633i
\(342\) 4.53073 + 11.7807i 0.244994 + 0.637025i
\(343\) 9.94103i 0.536765i
\(344\) 6.89238 0.597276i 0.371612 0.0322030i
\(345\) −2.23825 + 4.30637i −0.120503 + 0.231847i
\(346\) 0.684062 0.328495i 0.0367754 0.0176600i
\(347\) 1.05592 + 3.24978i 0.0566846 + 0.174457i 0.975390 0.220486i \(-0.0707643\pi\)
−0.918706 + 0.394943i \(0.870764\pi\)
\(348\) 20.2261 16.9684i 1.08423 0.909600i
\(349\) 8.80176 0.471147 0.235574 0.971857i \(-0.424303\pi\)
0.235574 + 0.971857i \(0.424303\pi\)
\(350\) 1.02725 + 5.12275i 0.0549091 + 0.273822i
\(351\) −0.893749 24.6318i −0.0477048 1.31475i
\(352\) 11.3996 0.448799i 0.607598 0.0239211i
\(353\) −6.16148 + 2.00199i −0.327943 + 0.106555i −0.468361 0.883537i \(-0.655155\pi\)
0.140418 + 0.990092i \(0.455155\pi\)
\(354\) 0.767571 12.0115i 0.0407959 0.638402i
\(355\) −19.2202 24.7392i −1.02010 1.31302i
\(356\) −25.0433 1.18021i −1.32729 0.0625511i
\(357\) 3.93606 + 2.20948i 0.208318 + 0.116938i
\(358\) 1.83091 10.0260i 0.0967664 0.529890i
\(359\) 16.1179 11.7103i 0.850668 0.618046i −0.0746622 0.997209i \(-0.523788\pi\)
0.925330 + 0.379162i \(0.123788\pi\)
\(360\) −0.722449 18.9599i −0.0380764 0.999275i
\(361\) −8.21101 5.96565i −0.432159 0.313982i
\(362\) −11.1983 + 10.6830i −0.588570 + 0.561486i
\(363\) 11.9261 1.39945i 0.625957 0.0734520i
\(364\) −2.47760 + 6.55740i −0.129861 + 0.343701i
\(365\) −11.5007 3.33169i −0.601976 0.174388i
\(366\) −14.9471 + 3.82207i −0.781296 + 0.199783i
\(367\) 18.0898 + 5.87772i 0.944278 + 0.306814i 0.740388 0.672179i \(-0.234642\pi\)
0.203890 + 0.978994i \(0.434642\pi\)
\(368\) −4.31428 + 2.55183i −0.224898 + 0.133023i
\(369\) 1.20733 + 5.07357i 0.0628508 + 0.264120i
\(370\) −3.44981 + 1.79547i −0.179347 + 0.0933421i
\(371\) 2.80835 + 8.64321i 0.145802 + 0.448733i
\(372\) −24.6650 + 1.72237i −1.27882 + 0.0893006i
\(373\) 0.455607 + 0.331018i 0.0235904 + 0.0171395i 0.599518 0.800361i \(-0.295359\pi\)
−0.575928 + 0.817501i \(0.695359\pi\)
\(374\) 1.33926 + 9.96973i 0.0692517 + 0.515522i
\(375\) 14.4417 + 12.9011i 0.745765 + 0.666209i
\(376\) 26.4508 11.2020i 1.36410 0.577697i
\(377\) −21.2496 + 29.2476i −1.09441 + 1.50633i
\(378\) 2.52638 + 4.80614i 0.129943 + 0.247201i
\(379\) 14.3712 4.66948i 0.738199 0.239855i 0.0843032 0.996440i \(-0.473134\pi\)
0.653896 + 0.756585i \(0.273134\pi\)
\(380\) −7.65893 10.8790i −0.392895 0.558083i
\(381\) 2.13103 + 2.30996i 0.109176 + 0.118343i
\(382\) 10.9680 1.47337i 0.561173 0.0753840i
\(383\) −2.52352 + 7.76661i −0.128946 + 0.396855i −0.994599 0.103789i \(-0.966903\pi\)
0.865653 + 0.500644i \(0.166903\pi\)
\(384\) 9.72410 17.0130i 0.496231 0.868191i
\(385\) 0.927154 3.20047i 0.0472522 0.163111i
\(386\) 2.28159 + 1.23103i 0.116130 + 0.0626580i
\(387\) −2.82164 + 6.77367i −0.143432 + 0.344325i
\(388\) −10.7776 + 13.4535i −0.547148 + 0.682996i
\(389\) 2.11053 2.90489i 0.107008 0.147284i −0.752154 0.658987i \(-0.770985\pi\)
0.859162 + 0.511703i \(0.170985\pi\)
\(390\) 7.24317 + 24.9512i 0.366772 + 1.26346i
\(391\) −2.59785 3.57563i −0.131379 0.180827i
\(392\) 1.57601 + 18.1866i 0.0796005 + 0.918564i
\(393\) −26.8005 15.0443i −1.35191 0.758883i
\(394\) 14.6664 + 2.67832i 0.738882 + 0.134932i
\(395\) −27.4133 + 21.2977i −1.37931 + 1.07160i
\(396\) −5.17366 + 10.9386i −0.259986 + 0.549686i
\(397\) 7.18092 + 22.1006i 0.360400 + 1.10920i 0.952812 + 0.303561i \(0.0981758\pi\)
−0.592412 + 0.805635i \(0.701824\pi\)
\(398\) 13.3423 24.7286i 0.668790 1.23953i
\(399\) 3.32006 + 1.86369i 0.166211 + 0.0933012i
\(400\) 5.61057 + 19.1969i 0.280529 + 0.959846i
\(401\) 19.9923i 0.998366i −0.866497 0.499183i \(-0.833634\pi\)
0.866497 0.499183i \(-0.166366\pi\)
\(402\) −19.1760 + 12.1430i −0.956413 + 0.605638i
\(403\) 32.1998 10.4624i 1.60399 0.521168i
\(404\) −29.4806 + 19.3665i −1.46672 + 0.963519i
\(405\) 18.1815 + 8.62747i 0.903446 + 0.428702i
\(406\) 1.43067 7.83433i 0.0710031 0.388811i
\(407\) 2.48025 0.122941
\(408\) 15.7410 + 7.12539i 0.779295 + 0.352759i
\(409\) 0.968333 0.703535i 0.0478810 0.0347876i −0.563587 0.826056i \(-0.690579\pi\)
0.611468 + 0.791269i \(0.290579\pi\)
\(410\) −2.53797 4.87643i −0.125341 0.240830i
\(411\) 7.37755 3.39215i 0.363908 0.167322i
\(412\) −8.56256 6.85946i −0.421847 0.337941i
\(413\) −2.13404 2.93725i −0.105009 0.144533i
\(414\) −0.281606 5.30907i −0.0138402 0.260926i
\(415\) 0.206082 + 6.40086i 0.0101162 + 0.314206i
\(416\) −7.28161 + 25.8265i −0.357010 + 1.26625i
\(417\) 24.9091 + 27.0006i 1.21980 + 1.32223i
\(418\) 1.12967 + 8.40945i 0.0552538 + 0.411320i
\(419\) −7.01031 + 21.5755i −0.342476 + 1.05403i 0.620445 + 0.784250i \(0.286952\pi\)
−0.962921 + 0.269783i \(0.913048\pi\)
\(420\) −3.81770 4.26409i −0.186285 0.208066i
\(421\) −5.11841 15.7529i −0.249456 0.767747i −0.994871 0.101147i \(-0.967749\pi\)
0.745415 0.666600i \(-0.232251\pi\)
\(422\) −29.3228 + 14.0812i −1.42741 + 0.685461i
\(423\) −2.45123 + 30.3688i −0.119183 + 1.47658i
\(424\) 13.5665 + 32.0341i 0.658848 + 1.55572i
\(425\) −16.3865 + 6.51704i −0.794862 + 0.316123i
\(426\) 31.8957 + 12.6648i 1.54535 + 0.613610i
\(427\) −2.73547 + 3.76505i −0.132378 + 0.182203i
\(428\) −7.12615 10.8478i −0.344456 0.524347i
\(429\) 3.24881 16.2479i 0.156854 0.784456i
\(430\) 1.14395 7.64973i 0.0551660 0.368903i
\(431\) −11.0015 + 33.8590i −0.529921 + 1.63093i 0.224453 + 0.974485i \(0.427941\pi\)
−0.754374 + 0.656445i \(0.772059\pi\)
\(432\) 11.2231 + 17.4941i 0.539971 + 0.841683i
\(433\) −6.69518 + 20.6056i −0.321750 + 0.990244i 0.651137 + 0.758961i \(0.274293\pi\)
−0.972886 + 0.231284i \(0.925707\pi\)
\(434\) −5.39653 + 5.14820i −0.259042 + 0.247121i
\(435\) −13.1875 26.4076i −0.632292 1.26615i
\(436\) −15.6032 5.89540i −0.747259 0.282339i
\(437\) −2.19128 3.01604i −0.104823 0.144277i
\(438\) 12.7075 3.24941i 0.607190 0.155263i
\(439\) −7.99755 + 11.0077i −0.381702 + 0.525368i −0.956035 0.293254i \(-0.905262\pi\)
0.574332 + 0.818622i \(0.305262\pi\)
\(440\) 2.47815 12.5119i 0.118141 0.596482i
\(441\) −17.8734 7.44535i −0.851115 0.354540i
\(442\) −23.2753 4.25043i −1.10709 0.202173i
\(443\) 22.1217 1.05104 0.525518 0.850782i \(-0.323872\pi\)
0.525518 + 0.850782i \(0.323872\pi\)
\(444\) 2.25794 3.61269i 0.107157 0.171451i
\(445\) −7.79952 + 26.9234i −0.369733 + 1.27629i
\(446\) 24.0915 11.5691i 1.14077 0.547811i
\(447\) −7.12436 1.42453i −0.336971 0.0673782i
\(448\) −1.01685 5.82299i −0.0480415 0.275110i
\(449\) 1.26422i 0.0596623i −0.999555 0.0298312i \(-0.990503\pi\)
0.999555 0.0298312i \(-0.00949696\pi\)
\(450\) −20.8037 4.14780i −0.980698 0.195529i
\(451\) 3.50593i 0.165088i
\(452\) 2.72827 7.22086i 0.128327 0.339641i
\(453\) −3.24512 0.648871i −0.152469 0.0304866i
\(454\) 13.7250 + 28.5811i 0.644146 + 1.34138i
\(455\) 6.48543 + 4.40021i 0.304041 + 0.206285i
\(456\) 13.2775 + 6.01026i 0.621776 + 0.281456i
\(457\) 24.3254 1.13789 0.568946 0.822375i \(-0.307351\pi\)
0.568946 + 0.822375i \(0.307351\pi\)
\(458\) −5.20486 + 28.5016i −0.243207 + 1.33179i
\(459\) −14.4263 + 11.3027i −0.673361 + 0.527565i
\(460\) 1.65212 + 5.35505i 0.0770307 + 0.249681i
\(461\) 8.55950 11.7811i 0.398656 0.548702i −0.561750 0.827307i \(-0.689872\pi\)
0.960406 + 0.278604i \(0.0898718\pi\)
\(462\) 0.904259 + 3.53631i 0.0420699 + 0.164524i
\(463\) 0.519225 + 0.714652i 0.0241304 + 0.0332127i 0.820912 0.571055i \(-0.193466\pi\)
−0.796781 + 0.604268i \(0.793466\pi\)
\(464\) 2.86699 30.3503i 0.133097 1.40898i
\(465\) −4.54501 + 27.2673i −0.210770 + 1.26449i
\(466\) 5.67328 + 5.94694i 0.262809 + 0.275486i
\(467\) 0.698061 2.14841i 0.0323024 0.0994167i −0.933605 0.358303i \(-0.883355\pi\)
0.965908 + 0.258886i \(0.0833555\pi\)
\(468\) −20.7088 19.5238i −0.957266 0.902487i
\(469\) −2.11574 + 6.51157i −0.0976957 + 0.300676i
\(470\) −5.29782 31.6756i −0.244370 1.46109i
\(471\) 6.85119 34.2641i 0.315686 1.57880i
\(472\) −9.10921 10.4964i −0.419285 0.483137i
\(473\) −2.89946 + 3.99076i −0.133317 + 0.183495i
\(474\) 14.0337 35.3433i 0.644588 1.62337i
\(475\) −13.8220 + 5.49712i −0.634197 + 0.252225i
\(476\) 5.02731 1.37549i 0.230426 0.0630454i
\(477\) −36.7791 2.96864i −1.68400 0.135925i
\(478\) −7.45649 15.5275i −0.341052 0.710210i
\(479\) 6.91709 + 21.2886i 0.316050 + 0.972702i 0.975320 + 0.220796i \(0.0708653\pi\)
−0.659270 + 0.751906i \(0.729135\pi\)
\(480\) −15.9686 15.0001i −0.728865 0.684658i
\(481\) −1.80272 + 5.54821i −0.0821971 + 0.252977i
\(482\) 15.9948 2.14863i 0.728543 0.0978674i
\(483\) −1.08743 1.17874i −0.0494800 0.0536347i
\(484\) 8.66899 10.8214i 0.394045 0.491881i
\(485\) 11.8241 + 15.2194i 0.536906 + 0.691077i
\(486\) −21.9576 + 1.96519i −0.996019 + 0.0891427i
\(487\) 0.946906 + 1.30330i 0.0429084 + 0.0590584i 0.829932 0.557864i \(-0.188379\pi\)
−0.787024 + 0.616923i \(0.788379\pi\)
\(488\) −9.18785 + 15.2626i −0.415914 + 0.690906i
\(489\) 2.23472 1.02751i 0.101057 0.0464656i
\(490\) 20.1850 + 3.01849i 0.911867 + 0.136361i
\(491\) 13.8437 10.0580i 0.624757 0.453912i −0.229823 0.973232i \(-0.573815\pi\)
0.854580 + 0.519320i \(0.173815\pi\)
\(492\) 5.10668 + 3.19169i 0.230227 + 0.143892i
\(493\) 26.8803 1.21063
\(494\) −19.6327 3.58524i −0.883315 0.161307i
\(495\) 10.5478 + 8.47171i 0.474087 + 0.380775i
\(496\) −18.8791 + 21.4169i −0.847698 + 0.961648i
\(497\) 9.84539 3.19896i 0.441626 0.143493i
\(498\) −3.75322 5.92702i −0.168186 0.265596i
\(499\) 10.7652i 0.481918i −0.970535 0.240959i \(-0.922538\pi\)
0.970535 0.240959i \(-0.0774620\pi\)
\(500\) 22.3333 1.10556i 0.998777 0.0494423i
\(501\) −17.8986 10.0472i −0.799650 0.448877i
\(502\) 30.6169 + 16.5194i 1.36650 + 0.737296i
\(503\) 2.71748 + 8.36356i 0.121167 + 0.372912i 0.993183 0.116564i \(-0.0371880\pi\)
−0.872017 + 0.489476i \(0.837188\pi\)
\(504\) 5.97414 + 1.90222i 0.266109 + 0.0847315i
\(505\) 13.3871 + 37.0944i 0.595716 + 1.65068i
\(506\) 0.642054 3.51587i 0.0285428 0.156299i
\(507\) 14.3498 + 8.05516i 0.637299 + 0.357742i
\(508\) 3.62497 + 0.170834i 0.160832 + 0.00757951i
\(509\) 15.2010 + 20.9223i 0.673771 + 0.927366i 0.999838 0.0179806i \(-0.00572371\pi\)
−0.326068 + 0.945346i \(0.605724\pi\)
\(510\) 11.8435 15.2617i 0.524437 0.675800i
\(511\) 2.32561 3.20093i 0.102879 0.141601i
\(512\) −5.80230 21.8708i −0.256428 0.966563i
\(513\) −12.1685 + 9.53382i −0.537254 + 0.420928i
\(514\) −1.60262 + 2.97030i −0.0706887 + 0.131014i
\(515\) −9.68649 + 7.52555i −0.426838 + 0.331615i
\(516\) 3.17330 + 7.85637i 0.139697 + 0.345857i
\(517\) −6.32918 + 19.4792i −0.278357 + 0.856695i
\(518\) −0.171096 1.27367i −0.00751751 0.0559618i
\(519\) 0.630191 + 0.683106i 0.0276623 + 0.0299850i
\(520\) 26.1874 + 14.6376i 1.14839 + 0.641899i
\(521\) 15.8802 5.15978i 0.695723 0.226054i 0.0602569 0.998183i \(-0.480808\pi\)
0.635466 + 0.772129i \(0.280808\pi\)
\(522\) 27.1292 + 17.5935i 1.18741 + 0.770048i
\(523\) 5.98318 8.23514i 0.261626 0.360097i −0.657914 0.753093i \(-0.728561\pi\)
0.919540 + 0.392995i \(0.128561\pi\)
\(524\) −34.2308 + 9.36567i −1.49538 + 0.409141i
\(525\) −5.62985 + 3.04161i −0.245707 + 0.132747i
\(526\) 21.6151 2.90362i 0.942463 0.126604i
\(527\) −20.3661 14.7968i −0.887161 0.644560i
\(528\) 4.61722 + 13.1874i 0.200939 + 0.573909i
\(529\) −6.62214 20.3809i −0.287919 0.886124i
\(530\) 38.3618 6.41610i 1.66633 0.278698i
\(531\) 14.3405 3.41253i 0.622327 0.148091i
\(532\) 4.24053 1.16022i 0.183850 0.0503020i
\(533\) −7.84260 2.54822i −0.339701 0.110375i
\(534\) −7.60691 29.7485i −0.329183 1.28734i
\(535\) −13.6494 + 4.92594i −0.590114 + 0.212967i
\(536\) −5.91674 + 25.5321i −0.255564 + 1.10282i
\(537\) 12.3973 1.45474i 0.534983 0.0627767i
\(538\) −22.3118 23.3880i −0.961930 1.00833i
\(539\) −10.5303 7.65068i −0.453570 0.329538i
\(540\) 21.9421 7.65133i 0.944239 0.329261i
\(541\) −2.35065 + 1.70785i −0.101062 + 0.0734260i −0.637169 0.770724i \(-0.719895\pi\)
0.536106 + 0.844150i \(0.319895\pi\)
\(542\) −23.6200 4.31338i −1.01456 0.185276i
\(543\) −16.5289 9.27837i −0.709324 0.398173i
\(544\) 18.7179 6.90708i 0.802522 0.296139i
\(545\) −10.4702 + 15.4320i −0.448495 + 0.661033i
\(546\) −8.56781 0.547510i −0.366668 0.0234313i
\(547\) 19.2639 6.25923i 0.823666 0.267625i 0.133291 0.991077i \(-0.457446\pi\)
0.690375 + 0.723452i \(0.257446\pi\)
\(548\) 3.31397 8.77102i 0.141566 0.374680i
\(549\) −9.84054 16.1307i −0.419984 0.688440i
\(550\) −12.9598 5.95016i −0.552609 0.253716i
\(551\) 22.6735 0.965924
\(552\) −4.53666 4.13595i −0.193093 0.176038i
\(553\) −3.54474 10.9096i −0.150737 0.463922i
\(554\) −9.53244 19.8505i −0.404995 0.843365i
\(555\) −3.34069 3.39516i −0.141805 0.144116i
\(556\) 42.3715 + 1.99684i 1.79695 + 0.0846847i
\(557\) 0.501584i 0.0212528i 0.999944 + 0.0106264i \(0.00338255\pi\)
−0.999944 + 0.0106264i \(0.996617\pi\)
\(558\) −10.8700 28.2637i −0.460162 1.19650i
\(559\) −6.81974 9.38656i −0.288444 0.397009i
\(560\) −6.59612 0.409479i −0.278737 0.0173036i
\(561\) −11.1935 + 5.14671i −0.472591 + 0.217294i
\(562\) −5.77438 6.05292i −0.243578 0.255327i
\(563\) −4.55684 + 3.31074i −0.192048 + 0.139531i −0.679654 0.733533i \(-0.737870\pi\)
0.487606 + 0.873064i \(0.337870\pi\)
\(564\) 22.6112 + 26.9523i 0.952105 + 1.13490i
\(565\) −7.14160 4.84540i −0.300449 0.203848i
\(566\) 30.0426 + 31.4918i 1.26278 + 1.32370i
\(567\) −4.72104 + 4.68340i −0.198265 + 0.196684i
\(568\) 36.4898 15.4535i 1.53108 0.648413i
\(569\) 19.3311 + 6.28105i 0.810401 + 0.263315i 0.684768 0.728762i \(-0.259904\pi\)
0.125633 + 0.992077i \(0.459904\pi\)
\(570\) 9.98994 12.8732i 0.418433 0.539200i
\(571\) −30.1588 + 9.79917i −1.26210 + 0.410083i −0.862244 0.506493i \(-0.830942\pi\)
−0.399861 + 0.916576i \(0.630942\pi\)
\(572\) −10.5049 15.9910i −0.439231 0.668619i
\(573\) 5.66206 + 12.3144i 0.236536 + 0.514440i
\(574\) 1.80038 0.241850i 0.0751463 0.0100946i
\(575\) 6.25262 0.403036i 0.260752 0.0168077i
\(576\) 23.4120 + 5.28006i 0.975499 + 0.220002i
\(577\) −32.6795 23.7431i −1.36047 0.988437i −0.998415 0.0562794i \(-0.982076\pi\)
−0.362052 0.932158i \(-0.617924\pi\)
\(578\) −2.79187 5.81382i −0.116126 0.241823i
\(579\) −0.622560 + 3.11354i −0.0258727 + 0.129394i
\(580\) −32.2549 11.0145i −1.33931 0.457351i
\(581\) −2.01263 0.653942i −0.0834978 0.0271301i
\(582\) −19.6220 7.79126i −0.813359 0.322958i
\(583\) −23.5910 7.66517i −0.977038 0.317459i
\(584\) 7.81123 12.9758i 0.323231 0.536943i
\(585\) −26.6173 + 17.4374i −1.10049 + 0.720947i
\(586\) 8.06672 14.9508i 0.333233 0.617613i
\(587\) 29.8263 21.6701i 1.23106 0.894421i 0.234095 0.972214i \(-0.424787\pi\)
0.996970 + 0.0777929i \(0.0247873\pi\)
\(588\) −20.7303 + 8.37326i −0.854903 + 0.345308i
\(589\) −17.1788 12.4811i −0.707839 0.514275i
\(590\) −13.7833 + 7.17360i −0.567450 + 0.295333i
\(591\) 2.12805 + 18.1352i 0.0875362 + 0.745983i
\(592\) −1.07342 4.80079i −0.0441175 0.197311i
\(593\) 3.60378i 0.147989i −0.997259 0.0739947i \(-0.976425\pi\)
0.997259 0.0739947i \(-0.0235748\pi\)
\(594\) −14.6658 2.13194i −0.601744 0.0874746i
\(595\) −0.187518 5.82427i −0.00768748 0.238772i
\(596\) −7.01172 + 4.60616i −0.287211 + 0.188676i
\(597\) 33.7454 + 6.74749i 1.38111 + 0.276156i
\(598\) 7.39818 + 3.99169i 0.302534 + 0.163232i
\(599\) 11.2701 0.460484 0.230242 0.973133i \(-0.426048\pi\)
0.230242 + 0.973133i \(0.426048\pi\)
\(600\) −20.4651 + 13.4602i −0.835486 + 0.549512i
\(601\) −26.8415 −1.09489 −0.547443 0.836843i \(-0.684399\pi\)
−0.547443 + 0.836843i \(0.684399\pi\)
\(602\) 2.24936 + 1.21365i 0.0916773 + 0.0494645i
\(603\) −21.1020 18.0960i −0.859340 0.736925i
\(604\) −3.19382 + 2.09809i −0.129955 + 0.0853702i
\(605\) −9.51079 12.2418i −0.386669 0.497700i
\(606\) −33.2592 27.5696i −1.35106 1.11994i
\(607\) 18.6629i 0.757503i −0.925498 0.378751i \(-0.876354\pi\)
0.925498 0.378751i \(-0.123646\pi\)
\(608\) 15.7885 5.82611i 0.640308 0.236280i
\(609\) 9.68727 1.13674i 0.392548 0.0460629i
\(610\) 14.2049 + 13.9616i 0.575140 + 0.565288i
\(611\) −38.9739 28.3162i −1.57672 1.14555i
\(612\) −2.69362 + 20.9897i −0.108883 + 0.848460i
\(613\) −35.3535 + 25.6858i −1.42791 + 1.03744i −0.437514 + 0.899212i \(0.644141\pi\)
−0.990400 + 0.138229i \(0.955859\pi\)
\(614\) −16.2019 + 30.0285i −0.653856 + 1.21185i
\(615\) 4.79918 4.72220i 0.193522 0.190417i
\(616\) 3.61096 + 2.17374i 0.145490 + 0.0875825i
\(617\) 31.8623 + 10.3527i 1.28273 + 0.416784i 0.869540 0.493862i \(-0.164415\pi\)
0.413188 + 0.910646i \(0.364415\pi\)
\(618\) 4.95881 12.4886i 0.199472 0.502364i
\(619\) −21.6969 7.04976i −0.872074 0.283354i −0.161411 0.986887i \(-0.551605\pi\)
−0.710662 + 0.703533i \(0.751605\pi\)
\(620\) 18.3750 + 26.1006i 0.737960 + 1.04823i
\(621\) 6.11567 2.23536i 0.245413 0.0897018i
\(622\) −11.3794 23.6965i −0.456272 0.950145i
\(623\) −7.49341 5.44428i −0.300217 0.218121i
\(624\) −32.8556 + 0.743491i −1.31528 + 0.0297634i
\(625\) 4.60898 24.5715i 0.184359 0.982859i
\(626\) −3.38291 + 0.454436i −0.135208 + 0.0181629i
\(627\) −9.44172 + 4.34125i −0.377066 + 0.173373i
\(628\) −22.1530 33.7224i −0.884000 1.34567i
\(629\) 4.12530 1.34039i 0.164486 0.0534449i
\(630\) 3.62281 6.00094i 0.144336 0.239083i
\(631\) 24.0978 + 7.82984i 0.959317 + 0.311701i 0.746496 0.665390i \(-0.231735\pi\)
0.212821 + 0.977091i \(0.431735\pi\)
\(632\) −17.1238 40.4339i −0.681149 1.60837i
\(633\) −27.0136 29.2818i −1.07369 1.16385i
\(634\) 11.4340 + 11.9856i 0.454103 + 0.476007i
\(635\) 1.12897 3.89711i 0.0448016 0.154652i
\(636\) −32.6415 + 27.3841i −1.29432 + 1.08585i
\(637\) 24.7679 17.9950i 0.981342 0.712986i
\(638\) 15.0041 + 15.7279i 0.594018 + 0.622672i
\(639\) −3.38155 + 41.8947i −0.133772 + 1.65733i
\(640\) −25.2907 + 0.618286i −0.999701 + 0.0244399i
\(641\) 8.54730 + 11.7644i 0.337598 + 0.464664i 0.943738 0.330694i \(-0.107283\pi\)
−0.606140 + 0.795358i \(0.707283\pi\)
\(642\) 10.1446 12.2381i 0.400375 0.483001i
\(643\) 5.27318i 0.207954i 0.994580 + 0.103977i \(0.0331568\pi\)
−0.994580 + 0.103977i \(0.966843\pi\)
\(644\) −1.84978 0.0871741i −0.0728914 0.00343514i
\(645\) 9.36819 1.40623i 0.368872 0.0553701i
\(646\) 6.42361 + 13.3766i 0.252734 + 0.526295i
\(647\) 0.604880 + 1.86163i 0.0237803 + 0.0731882i 0.962242 0.272194i \(-0.0877493\pi\)
−0.938462 + 0.345382i \(0.887749\pi\)
\(648\) −16.4566 + 19.4211i −0.646478 + 0.762933i
\(649\) 9.90956 0.388984
\(650\) 22.7298 24.6658i 0.891538 0.967472i
\(651\) −7.96538 4.47130i −0.312188 0.175244i
\(652\) 1.00383 2.65681i 0.0393129 0.104049i
\(653\) −34.1296 + 11.0894i −1.33559 + 0.433961i −0.887822 0.460186i \(-0.847783\pi\)
−0.447773 + 0.894147i \(0.647783\pi\)
\(654\) 1.30279 20.3870i 0.0509432 0.797193i
\(655\) 1.27680 + 39.6573i 0.0498889 + 1.54954i
\(656\) 6.78610 1.51733i 0.264953 0.0592416i
\(657\) 8.36613 + 13.7138i 0.326394 + 0.535027i
\(658\) 10.4397 + 1.90645i 0.406980 + 0.0743211i
\(659\) 9.38919 6.82165i 0.365751 0.265734i −0.389696 0.920944i \(-0.627420\pi\)
0.755447 + 0.655210i \(0.227420\pi\)
\(660\) 15.5405 1.58912i 0.604915 0.0618563i
\(661\) 16.9242 + 12.2962i 0.658276 + 0.478266i 0.866080 0.499905i \(-0.166632\pi\)
−0.207804 + 0.978170i \(0.566632\pi\)
\(662\) −11.0047 11.5355i −0.427709 0.448340i
\(663\) −3.37717 28.7802i −0.131158 1.11773i
\(664\) −7.89159 1.82877i −0.306253 0.0709702i
\(665\) −0.158171 4.91276i −0.00613361 0.190509i
\(666\) 5.04080 + 1.34726i 0.195327 + 0.0522053i
\(667\) −9.08301 2.95125i −0.351696 0.114273i
\(668\) −22.8609 + 6.25481i −0.884513 + 0.242006i
\(669\) 22.1943 + 24.0579i 0.858081 + 0.930132i
\(670\) 26.2224 + 13.0769i 1.01306 + 0.505205i
\(671\) −3.92523 12.0806i −0.151532 0.466367i
\(672\) 6.45355 3.28077i 0.248951 0.126558i
\(673\) 17.4290 + 12.6629i 0.671839 + 0.488120i 0.870640 0.491920i \(-0.163705\pi\)
−0.198801 + 0.980040i \(0.563705\pi\)
\(674\) 48.2211 6.47769i 1.85741 0.249511i
\(675\) −2.61024 25.8493i −0.100468 0.994940i
\(676\) 18.3282 5.01467i 0.704932 0.192872i
\(677\) −10.8376 + 14.9166i −0.416522 + 0.573293i −0.964794 0.263007i \(-0.915286\pi\)
0.548272 + 0.836300i \(0.315286\pi\)
\(678\) 9.43467 + 0.602905i 0.362336 + 0.0231544i
\(679\) −6.05681 + 1.96798i −0.232439 + 0.0755240i
\(680\) −2.63995 22.1498i −0.101237 0.849406i
\(681\) −28.5412 + 26.3303i −1.09370 + 1.00898i
\(682\) −2.71026 20.1757i −0.103781 0.772566i
\(683\) 7.98951 24.5892i 0.305710 0.940879i −0.673701 0.739004i \(-0.735296\pi\)
0.979411 0.201875i \(-0.0647036\pi\)
\(684\) −2.27207 + 17.7048i −0.0868746 + 0.676960i
\(685\) −8.67475 5.88561i −0.331445 0.224877i
\(686\) −6.67569 + 12.3727i −0.254879 + 0.472392i
\(687\) −35.2427 + 4.13550i −1.34459 + 0.157779i
\(688\) 8.97940 + 3.88505i 0.342336 + 0.148116i
\(689\) 34.2933 47.2007i 1.30647 1.79820i
\(690\) −5.67759 + 3.85670i −0.216142 + 0.146822i
\(691\) 4.33841 + 5.97131i 0.165041 + 0.227159i 0.883525 0.468384i \(-0.155164\pi\)
−0.718484 + 0.695544i \(0.755164\pi\)
\(692\) 1.07198 + 0.0505192i 0.0407507 + 0.00192045i
\(693\) −3.81633 + 2.32816i −0.144970 + 0.0884395i
\(694\) −0.868116 + 4.75378i −0.0329532 + 0.180451i
\(695\) 13.1962 45.5524i 0.500561 1.72790i
\(696\) 36.5683 7.53660i 1.38612 0.285674i
\(697\) 1.89469 + 5.83126i 0.0717666 + 0.220875i
\(698\) 10.9547 + 5.91063i 0.414643 + 0.223721i
\(699\) −4.92734 + 8.77778i −0.186369 + 0.332006i
\(700\) −2.16154 + 7.06564i −0.0816986 + 0.267056i
\(701\) 28.4071i 1.07292i 0.843925 + 0.536462i \(0.180239\pi\)
−0.843925 + 0.536462i \(0.819761\pi\)
\(702\) 15.4286 31.2571i 0.582315 1.17972i
\(703\) 3.47968 1.13062i 0.131239 0.0426420i
\(704\) 14.4894 + 7.09655i 0.546088 + 0.267461i
\(705\) 35.1896 17.5730i 1.32532 0.661839i
\(706\) −9.01302 1.64592i −0.339210 0.0619451i
\(707\) −13.0313 −0.490093
\(708\) 9.02136 14.4341i 0.339044 0.542467i
\(709\) −15.0277 + 10.9183i −0.564378 + 0.410044i −0.833058 0.553185i \(-0.813412\pi\)
0.268681 + 0.963229i \(0.413412\pi\)
\(710\) −7.30852 43.6976i −0.274284 1.63994i
\(711\) 46.4231 + 3.74706i 1.74100 + 0.140526i
\(712\) −30.3766 18.2862i −1.13841 0.685304i
\(713\) 5.25724 + 7.23597i 0.196885 + 0.270989i
\(714\) 3.41513 + 5.39311i 0.127808 + 0.201832i
\(715\) −20.1210 + 7.26147i −0.752481 + 0.271564i
\(716\) 9.01150 11.2489i 0.336776 0.420392i
\(717\) 15.5058 14.3047i 0.579074 0.534217i
\(718\) 27.9242 3.75114i 1.04212 0.139991i
\(719\) −3.98890 + 12.2766i −0.148761 + 0.457839i −0.997475 0.0710123i \(-0.977377\pi\)
0.848715 + 0.528851i \(0.177377\pi\)
\(720\) 11.8330 24.0828i 0.440988 0.897513i
\(721\) −1.25253 3.85490i −0.0466468 0.143564i
\(722\) −6.21339 12.9388i −0.231238 0.481533i
\(723\) 8.25706 + 17.9582i 0.307083 + 0.667872i
\(724\) −21.1115 + 5.77616i −0.784601 + 0.214669i
\(725\) −20.3691 + 32.2059i −0.756489 + 1.19610i
\(726\) 15.7831 + 6.26694i 0.585765 + 0.232588i
\(727\) 24.2110 33.3236i 0.897936 1.23590i −0.0731863 0.997318i \(-0.523317\pi\)
0.971122 0.238584i \(-0.0766832\pi\)
\(728\) −7.48712 + 6.49762i −0.277491 + 0.240818i
\(729\) −10.1825 25.0063i −0.377131 0.926160i
\(730\) −12.0766 11.8697i −0.446975 0.439318i
\(731\) −2.66584 + 8.20460i −0.0985996 + 0.303458i
\(732\) −21.1699 5.28040i −0.782461 0.195169i
\(733\) −9.15431 + 28.1741i −0.338122 + 1.04063i 0.627041 + 0.778986i \(0.284266\pi\)
−0.965164 + 0.261647i \(0.915734\pi\)
\(734\) 18.5676 + 19.4632i 0.685343 + 0.718402i
\(735\) 3.71055 + 24.7195i 0.136866 + 0.911791i
\(736\) −7.08322 + 0.278865i −0.261091 + 0.0102791i
\(737\) −10.9842 15.1185i −0.404608 0.556896i
\(738\) −1.90440 + 7.12536i −0.0701020 + 0.262288i
\(739\) 16.9992 23.3974i 0.625326 0.860688i −0.372401 0.928072i \(-0.621465\pi\)
0.997727 + 0.0673842i \(0.0214653\pi\)
\(740\) −5.49937 0.0819862i −0.202161 0.00301387i
\(741\) −2.84864 24.2761i −0.104647 0.891804i
\(742\) −2.30887 + 12.6433i −0.0847612 + 0.464150i
\(743\) −5.79856 −0.212729 −0.106364 0.994327i \(-0.533921\pi\)
−0.106364 + 0.994327i \(0.533921\pi\)
\(744\) −31.8549 14.4196i −1.16786 0.528648i
\(745\) 3.18400 + 8.82261i 0.116653 + 0.323235i
\(746\) 0.344764 + 0.717941i 0.0126227 + 0.0262857i
\(747\) 5.59319 6.52231i 0.204644 0.238639i
\(748\) −5.02810 + 13.3078i −0.183845 + 0.486580i
\(749\) 4.79504i 0.175207i
\(750\) 9.31078 + 25.7548i 0.339982 + 0.940432i
\(751\) 16.7726i 0.612040i −0.952025 0.306020i \(-0.901003\pi\)
0.952025 0.306020i \(-0.0989974\pi\)
\(752\) 40.4433 + 3.82042i 1.47482 + 0.139316i
\(753\) −8.35418 + 41.7808i −0.304443 + 1.52258i
\(754\) −46.0880 + 22.1320i −1.67843 + 0.806001i
\(755\) 1.45030 + 4.01867i 0.0527819 + 0.146254i
\(756\) −0.0831102 + 7.67830i −0.00302269 + 0.279257i
\(757\) −2.93848 −0.106801 −0.0534005 0.998573i \(-0.517006\pi\)
−0.0534005 + 0.998573i \(0.517006\pi\)
\(758\) 21.0222 + 3.83899i 0.763561 + 0.139438i
\(759\) 4.34743 0.510142i 0.157802 0.0185170i
\(760\) −2.22679 18.6833i −0.0807742 0.677715i
\(761\) 25.3962 34.9549i 0.920611 1.26711i −0.0427993 0.999084i \(-0.513628\pi\)
0.963411 0.268029i \(-0.0863724\pi\)
\(762\) 1.10109 + 4.30604i 0.0398881 + 0.155991i
\(763\) −3.62209 4.98538i −0.131128 0.180483i
\(764\) 14.6403 + 5.53157i 0.529667 + 0.200125i
\(765\) 22.1220 + 8.39037i 0.799822 + 0.303354i
\(766\) −8.35630 + 7.97177i −0.301925 + 0.288032i
\(767\) −7.20258 + 22.1672i −0.260070 + 0.800413i
\(768\) 23.5274 14.6445i 0.848972 0.528438i
\(769\) 9.36897 28.8347i 0.337854 1.03981i −0.627445 0.778661i \(-0.715899\pi\)
0.965299 0.261147i \(-0.0841006\pi\)
\(770\) 3.30315 3.36072i 0.119037 0.121112i
\(771\) −4.05336 0.810480i −0.145978 0.0291887i
\(772\) 2.01302 + 3.06431i 0.0724500 + 0.110287i
\(773\) −2.56875 + 3.53558i −0.0923916 + 0.127166i −0.852710 0.522384i \(-0.825043\pi\)
0.760319 + 0.649550i \(0.225043\pi\)