Properties

Label 300.2.n.a.191.24
Level $300$
Weight $2$
Character 300.191
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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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 191.24
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.24

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.311798 + 1.37941i) q^{2} +(1.65104 + 0.523516i) q^{3} +(-1.80556 - 0.860197i) q^{4} +(-0.573135 + 2.16137i) q^{5} +(-1.23694 + 2.11423i) q^{6} +1.39878i q^{7} +(1.74954 - 2.22241i) q^{8} +(2.45186 + 1.72869i) q^{9} +O(q^{10})\) \(q+(-0.311798 + 1.37941i) q^{2} +(1.65104 + 0.523516i) q^{3} +(-1.80556 - 0.860197i) q^{4} +(-0.573135 + 2.16137i) q^{5} +(-1.23694 + 2.11423i) q^{6} +1.39878i q^{7} +(1.74954 - 2.22241i) q^{8} +(2.45186 + 1.72869i) q^{9} +(-2.80272 - 1.46450i) q^{10} +(0.762524 + 0.554006i) q^{11} +(-2.53073 - 2.36546i) q^{12} +(-0.565071 + 0.410548i) q^{13} +(-1.92949 - 0.436136i) q^{14} +(-2.07778 + 3.26846i) q^{15} +(2.52012 + 3.10628i) q^{16} +(-7.22981 - 2.34911i) q^{17} +(-3.14907 + 2.84313i) q^{18} +(0.528622 + 0.171760i) q^{19} +(2.89403 - 3.40948i) q^{20} +(-0.732284 + 2.30944i) q^{21} +(-1.00196 + 0.879098i) q^{22} +(3.42995 + 2.49200i) q^{23} +(4.05203 - 2.75338i) q^{24} +(-4.34303 - 2.47751i) q^{25} +(-0.390127 - 0.907474i) q^{26} +(3.14312 + 4.13773i) q^{27} +(1.20323 - 2.52559i) q^{28} +(3.38995 - 1.10146i) q^{29} +(-3.86071 - 3.88522i) q^{30} +(9.35292 + 3.03895i) q^{31} +(-5.07062 + 2.50776i) q^{32} +(0.968926 + 1.31388i) q^{33} +(5.49463 - 9.24045i) q^{34} +(-3.02328 - 0.801689i) q^{35} +(-2.93998 - 5.23035i) q^{36} +(-0.815640 + 0.592597i) q^{37} +(-0.401751 + 0.675634i) q^{38} +(-1.14788 + 0.382007i) q^{39} +(3.80073 + 5.05514i) q^{40} +(-4.88230 - 6.71991i) q^{41} +(-2.95735 - 1.73020i) q^{42} -10.8752i q^{43} +(-0.900231 - 1.65621i) q^{44} +(-5.14159 + 4.30860i) q^{45} +(-4.50695 + 3.95431i) q^{46} +(1.76153 + 5.42145i) q^{47} +(2.53463 + 6.44792i) q^{48} +5.04342 q^{49} +(4.77166 - 5.21836i) q^{50} +(-10.7069 - 7.66339i) q^{51} +(1.37342 - 0.255198i) q^{52} +(4.78908 - 1.55607i) q^{53} +(-6.68766 + 3.04553i) q^{54} +(-1.63444 + 1.33058i) q^{55} +(3.10866 + 2.44722i) q^{56} +(0.782857 + 0.560325i) q^{57} +(0.462392 + 5.01958i) q^{58} +(5.62178 - 4.08446i) q^{59} +(6.56308 - 4.11411i) q^{60} +(0.0279495 + 0.0203065i) q^{61} +(-7.10819 + 11.9540i) q^{62} +(-2.41806 + 3.42961i) q^{63} +(-1.87823 - 7.77639i) q^{64} +(-0.563484 - 1.45663i) q^{65} +(-2.11449 + 0.926884i) q^{66} +(4.99301 + 1.62233i) q^{67} +(11.0332 + 10.4605i) q^{68} +(4.35837 + 5.91003i) q^{69} +(2.04851 - 3.92039i) q^{70} +(-2.97804 - 9.16545i) q^{71} +(8.13149 - 2.42463i) q^{72} +(7.64233 + 5.55248i) q^{73} +(-0.563122 - 1.30988i) q^{74} +(-5.87350 - 6.36412i) q^{75} +(-0.806714 - 0.764843i) q^{76} +(-0.774932 + 1.06660i) q^{77} +(-0.169038 - 1.70251i) q^{78} +(8.04233 - 2.61311i) q^{79} +(-8.15819 + 3.66660i) q^{80} +(3.02325 + 8.47703i) q^{81} +(10.7918 - 4.63946i) q^{82} +(-0.222751 + 0.685556i) q^{83} +(3.30876 - 3.53993i) q^{84} +(9.22094 - 14.2799i) q^{85} +(15.0014 + 3.39086i) q^{86} +(6.17358 - 0.0438621i) q^{87} +(2.56529 - 0.725387i) q^{88} +(-4.97245 + 6.84399i) q^{89} +(-4.34021 - 8.43579i) q^{90} +(-0.574266 - 0.790409i) q^{91} +(-4.04938 - 7.44990i) q^{92} +(13.8511 + 9.91383i) q^{93} +(-8.02766 + 0.739489i) q^{94} +(-0.674208 + 1.04411i) q^{95} +(-9.68464 + 1.48586i) q^{96} +(-0.529007 - 1.62812i) q^{97} +(-1.57253 + 6.95696i) q^{98} +(0.911897 + 2.67651i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.311798 + 1.37941i −0.220474 + 0.975393i
\(3\) 1.65104 + 0.523516i 0.953228 + 0.302252i
\(4\) −1.80556 0.860197i −0.902782 0.430098i
\(5\) −0.573135 + 2.16137i −0.256314 + 0.966594i
\(6\) −1.23694 + 2.11423i −0.504977 + 0.863133i
\(7\) 1.39878i 0.528689i 0.964428 + 0.264344i \(0.0851556\pi\)
−0.964428 + 0.264344i \(0.914844\pi\)
\(8\) 1.74954 2.22241i 0.618555 0.785741i
\(9\) 2.45186 + 1.72869i 0.817287 + 0.576231i
\(10\) −2.80272 1.46450i −0.886298 0.463116i
\(11\) 0.762524 + 0.554006i 0.229910 + 0.167039i 0.696776 0.717289i \(-0.254617\pi\)
−0.466866 + 0.884328i \(0.654617\pi\)
\(12\) −2.53073 2.36546i −0.730559 0.682850i
\(13\) −0.565071 + 0.410548i −0.156722 + 0.113865i −0.663383 0.748280i \(-0.730880\pi\)
0.506660 + 0.862146i \(0.330880\pi\)
\(14\) −1.92949 0.436136i −0.515679 0.116562i
\(15\) −2.07778 + 3.26846i −0.536481 + 0.843913i
\(16\) 2.52012 + 3.10628i 0.630031 + 0.776570i
\(17\) −7.22981 2.34911i −1.75349 0.569742i −0.756994 0.653422i \(-0.773333\pi\)
−0.996493 + 0.0836799i \(0.973333\pi\)
\(18\) −3.14907 + 2.84313i −0.742242 + 0.670132i
\(19\) 0.528622 + 0.171760i 0.121274 + 0.0394044i 0.369025 0.929419i \(-0.379692\pi\)
−0.247751 + 0.968824i \(0.579692\pi\)
\(20\) 2.89403 3.40948i 0.647126 0.762383i
\(21\) −0.732284 + 2.30944i −0.159797 + 0.503961i
\(22\) −1.00196 + 0.879098i −0.213618 + 0.187424i
\(23\) 3.42995 + 2.49200i 0.715193 + 0.519618i 0.884845 0.465886i \(-0.154264\pi\)
−0.169652 + 0.985504i \(0.554264\pi\)
\(24\) 4.05203 2.75338i 0.827116 0.562031i
\(25\) −4.34303 2.47751i −0.868607 0.495502i
\(26\) −0.390127 0.907474i −0.0765103 0.177970i
\(27\) 3.14312 + 4.13773i 0.604894 + 0.796306i
\(28\) 1.20323 2.52559i 0.227388 0.477291i
\(29\) 3.38995 1.10146i 0.629498 0.204536i 0.0231455 0.999732i \(-0.492632\pi\)
0.606353 + 0.795196i \(0.292632\pi\)
\(30\) −3.86071 3.88522i −0.704866 0.709340i
\(31\) 9.35292 + 3.03895i 1.67983 + 0.545811i 0.984879 0.173243i \(-0.0554245\pi\)
0.694954 + 0.719054i \(0.255425\pi\)
\(32\) −5.07062 + 2.50776i −0.896367 + 0.443314i
\(33\) 0.968926 + 1.31388i 0.168668 + 0.228717i
\(34\) 5.49463 9.24045i 0.942321 1.58472i
\(35\) −3.02328 0.801689i −0.511027 0.135510i
\(36\) −2.93998 5.23035i −0.489996 0.871725i
\(37\) −0.815640 + 0.592597i −0.134090 + 0.0974224i −0.652809 0.757523i \(-0.726409\pi\)
0.518718 + 0.854945i \(0.326409\pi\)
\(38\) −0.401751 + 0.675634i −0.0651726 + 0.109602i
\(39\) −1.14788 + 0.382007i −0.183808 + 0.0611701i
\(40\) 3.80073 + 5.05514i 0.600948 + 0.799288i
\(41\) −4.88230 6.71991i −0.762487 1.04947i −0.997003 0.0773615i \(-0.975350\pi\)
0.234516 0.972112i \(-0.424650\pi\)
\(42\) −2.95735 1.73020i −0.456329 0.266976i
\(43\) 10.8752i 1.65845i −0.558914 0.829225i \(-0.688782\pi\)
0.558914 0.829225i \(-0.311218\pi\)
\(44\) −0.900231 1.65621i −0.135715 0.249684i
\(45\) −5.14159 + 4.30860i −0.766463 + 0.642289i
\(46\) −4.50695 + 3.95431i −0.664514 + 0.583032i
\(47\) 1.76153 + 5.42145i 0.256946 + 0.790799i 0.993440 + 0.114355i \(0.0364801\pi\)
−0.736494 + 0.676444i \(0.763520\pi\)
\(48\) 2.53463 + 6.44792i 0.365843 + 0.930677i
\(49\) 5.04342 0.720488
\(50\) 4.77166 5.21836i 0.674815 0.737987i
\(51\) −10.7069 7.66339i −1.49927 1.07309i
\(52\) 1.37342 0.255198i 0.190460 0.0353897i
\(53\) 4.78908 1.55607i 0.657831 0.213742i 0.0389672 0.999240i \(-0.487593\pi\)
0.618864 + 0.785498i \(0.287593\pi\)
\(54\) −6.68766 + 3.04553i −0.910075 + 0.414444i
\(55\) −1.63444 + 1.33058i −0.220388 + 0.179415i
\(56\) 3.10866 + 2.44722i 0.415413 + 0.327023i
\(57\) 0.782857 + 0.560325i 0.103692 + 0.0742168i
\(58\) 0.462392 + 5.01958i 0.0607150 + 0.659103i
\(59\) 5.62178 4.08446i 0.731894 0.531752i −0.158268 0.987396i \(-0.550591\pi\)
0.890162 + 0.455644i \(0.150591\pi\)
\(60\) 6.56308 4.11411i 0.847290 0.531130i
\(61\) 0.0279495 + 0.0203065i 0.00357856 + 0.00259998i 0.589573 0.807715i \(-0.299296\pi\)
−0.585995 + 0.810315i \(0.699296\pi\)
\(62\) −7.10819 + 11.9540i −0.902741 + 1.51816i
\(63\) −2.41806 + 3.42961i −0.304647 + 0.432091i
\(64\) −1.87823 7.77639i −0.234779 0.972049i
\(65\) −0.563484 1.45663i −0.0698916 0.180672i
\(66\) −2.11449 + 0.926884i −0.260276 + 0.114092i
\(67\) 4.99301 + 1.62233i 0.609993 + 0.198199i 0.597692 0.801726i \(-0.296084\pi\)
0.0123008 + 0.999924i \(0.496084\pi\)
\(68\) 11.0332 + 10.4605i 1.33797 + 1.26852i
\(69\) 4.35837 + 5.91003i 0.524686 + 0.711484i
\(70\) 2.04851 3.92039i 0.244844 0.468576i
\(71\) −2.97804 9.16545i −0.353428 1.08774i −0.956916 0.290366i \(-0.906223\pi\)
0.603488 0.797372i \(-0.293777\pi\)
\(72\) 8.13149 2.42463i 0.958305 0.285746i
\(73\) 7.64233 + 5.55248i 0.894467 + 0.649868i 0.937039 0.349225i \(-0.113555\pi\)
−0.0425719 + 0.999093i \(0.513555\pi\)
\(74\) −0.563122 1.30988i −0.0654616 0.152270i
\(75\) −5.87350 6.36412i −0.678213 0.734865i
\(76\) −0.806714 0.764843i −0.0925365 0.0877335i
\(77\) −0.774932 + 1.06660i −0.0883117 + 0.121551i
\(78\) −0.169038 1.70251i −0.0191398 0.192772i
\(79\) 8.04233 2.61311i 0.904833 0.293998i 0.180603 0.983556i \(-0.442195\pi\)
0.724230 + 0.689558i \(0.242195\pi\)
\(80\) −8.15819 + 3.66660i −0.912113 + 0.409938i
\(81\) 3.02325 + 8.47703i 0.335916 + 0.941892i
\(82\) 10.7918 4.63946i 1.19176 0.512342i
\(83\) −0.222751 + 0.685556i −0.0244501 + 0.0752495i −0.962537 0.271150i \(-0.912596\pi\)
0.938087 + 0.346400i \(0.112596\pi\)
\(84\) 3.30876 3.53993i 0.361015 0.386238i
\(85\) 9.22094 14.2799i 1.00015 1.54888i
\(86\) 15.0014 + 3.39086i 1.61764 + 0.365646i
\(87\) 6.17358 0.0438621i 0.661877 0.00470251i
\(88\) 2.56529 0.725387i 0.273461 0.0773266i
\(89\) −4.97245 + 6.84399i −0.527078 + 0.725461i −0.986682 0.162663i \(-0.947992\pi\)
0.459603 + 0.888124i \(0.347992\pi\)
\(90\) −4.34021 8.43579i −0.457498 0.889210i
\(91\) −0.574266 0.790409i −0.0601994 0.0828574i
\(92\) −4.04938 7.44990i −0.422177 0.776706i
\(93\) 13.8511 + 9.91383i 1.43629 + 1.02802i
\(94\) −8.02766 + 0.739489i −0.827990 + 0.0762725i
\(95\) −0.674208 + 1.04411i −0.0691723 + 0.107123i
\(96\) −9.68464 + 1.48586i −0.988434 + 0.151650i
\(97\) −0.529007 1.62812i −0.0537125 0.165310i 0.920602 0.390503i \(-0.127699\pi\)
−0.974314 + 0.225193i \(0.927699\pi\)
\(98\) −1.57253 + 6.95696i −0.158849 + 0.702759i
\(99\) 0.911897 + 2.67651i 0.0916491 + 0.269000i
\(100\) 5.71048 + 8.20917i 0.571048 + 0.820917i
\(101\) 11.0445i 1.09896i −0.835505 0.549482i \(-0.814825\pi\)
0.835505 0.549482i \(-0.185175\pi\)
\(102\) 13.9094 12.3798i 1.37723 1.22578i
\(103\) −15.1217 + 4.91333i −1.48998 + 0.484125i −0.937078 0.349120i \(-0.886481\pi\)
−0.552904 + 0.833245i \(0.686481\pi\)
\(104\) −0.0762063 + 1.97409i −0.00747264 + 0.193575i
\(105\) −4.57185 2.90636i −0.446167 0.283631i
\(106\) 0.653234 + 7.09131i 0.0634477 + 0.688769i
\(107\) 1.60413 0.155077 0.0775386 0.996989i \(-0.475294\pi\)
0.0775386 + 0.996989i \(0.475294\pi\)
\(108\) −2.11585 10.1746i −0.203597 0.979055i
\(109\) −7.49038 + 5.44208i −0.717448 + 0.521256i −0.885568 0.464510i \(-0.846230\pi\)
0.168120 + 0.985767i \(0.446230\pi\)
\(110\) −1.32580 2.66944i −0.126410 0.254521i
\(111\) −1.65689 + 0.551401i −0.157265 + 0.0523366i
\(112\) −4.34500 + 3.52510i −0.410564 + 0.333090i
\(113\) −7.66663 10.5522i −0.721216 0.992669i −0.999483 0.0321650i \(-0.989760\pi\)
0.278266 0.960504i \(-0.410240\pi\)
\(114\) −1.01701 + 0.905176i −0.0952520 + 0.0847775i
\(115\) −7.35196 + 5.98513i −0.685574 + 0.558116i
\(116\) −7.06825 0.927266i −0.656271 0.0860944i
\(117\) −2.09519 + 0.0297733i −0.193700 + 0.00275254i
\(118\) 3.88130 + 9.02829i 0.357303 + 0.831121i
\(119\) 3.28588 10.1129i 0.301216 0.927049i
\(120\) 3.62871 + 10.3360i 0.331254 + 0.943542i
\(121\) −3.12467 9.61674i −0.284061 0.874249i
\(122\) −0.0367256 + 0.0322224i −0.00332498 + 0.00291728i
\(123\) −4.54289 13.6508i −0.409618 1.23085i
\(124\) −14.2732 13.5324i −1.28177 1.21524i
\(125\) 7.84396 7.96695i 0.701585 0.712586i
\(126\) −3.97691 4.40485i −0.354291 0.392415i
\(127\) −12.0521 + 16.5882i −1.06945 + 1.47197i −0.198813 + 0.980038i \(0.563708\pi\)
−0.870635 + 0.491930i \(0.836292\pi\)
\(128\) 11.3125 0.166194i 0.999892 0.0146897i
\(129\) 5.69334 17.9554i 0.501271 1.58088i
\(130\) 2.18498 0.323104i 0.191636 0.0283381i
\(131\) −0.495761 + 1.52580i −0.0433149 + 0.133309i −0.970375 0.241602i \(-0.922327\pi\)
0.927060 + 0.374912i \(0.122327\pi\)
\(132\) −0.619263 3.20576i −0.0538999 0.279026i
\(133\) −0.240254 + 0.739426i −0.0208327 + 0.0641163i
\(134\) −3.79467 + 6.38159i −0.327810 + 0.551285i
\(135\) −10.7446 + 4.42197i −0.924747 + 0.380582i
\(136\) −17.8695 + 11.9578i −1.53230 + 1.02537i
\(137\) 8.88623 + 12.2308i 0.759202 + 1.04495i 0.997280 + 0.0737058i \(0.0234826\pi\)
−0.238078 + 0.971246i \(0.576517\pi\)
\(138\) −9.51130 + 4.16926i −0.809656 + 0.354911i
\(139\) −1.83329 + 2.52331i −0.155498 + 0.214024i −0.879657 0.475608i \(-0.842228\pi\)
0.724159 + 0.689633i \(0.242228\pi\)
\(140\) 4.76911 + 4.04811i 0.403063 + 0.342128i
\(141\) 0.0701472 + 9.87321i 0.00590746 + 0.831474i
\(142\) 13.5715 1.25017i 1.13889 0.104912i
\(143\) −0.658326 −0.0550520
\(144\) 0.809189 + 11.9727i 0.0674324 + 0.997724i
\(145\) 0.437767 + 7.95823i 0.0363546 + 0.660895i
\(146\) −10.0420 + 8.81068i −0.831084 + 0.729177i
\(147\) 8.32688 + 2.64031i 0.686789 + 0.217769i
\(148\) 1.98244 0.368361i 0.162956 0.0302791i
\(149\) 3.67430i 0.301010i −0.988609 0.150505i \(-0.951910\pi\)
0.988609 0.150505i \(-0.0480900\pi\)
\(150\) 10.6101 6.11767i 0.866311 0.499505i
\(151\) 0.209140i 0.0170196i −0.999964 0.00850978i \(-0.997291\pi\)
0.999964 0.00850978i \(-0.00270878\pi\)
\(152\) 1.30657 0.874316i 0.105977 0.0709164i
\(153\) −13.6656 18.2578i −1.10480 1.47606i
\(154\) −1.22966 1.40152i −0.0990891 0.112937i
\(155\) −11.9288 + 18.4734i −0.958142 + 1.48382i
\(156\) 2.40118 + 0.297667i 0.192248 + 0.0238324i
\(157\) −18.9560 −1.51286 −0.756429 0.654076i \(-0.773058\pi\)
−0.756429 + 0.654076i \(0.773058\pi\)
\(158\) 1.09698 + 11.9085i 0.0872710 + 0.947387i
\(159\) 8.72159 0.0619652i 0.691667 0.00491416i
\(160\) −2.51405 12.3968i −0.198753 0.980050i
\(161\) −3.48576 + 4.79774i −0.274716 + 0.378115i
\(162\) −12.6360 + 1.52719i −0.992775 + 0.119987i
\(163\) −10.7412 14.7840i −0.841316 1.15797i −0.985710 0.168452i \(-0.946123\pi\)
0.144394 0.989520i \(-0.453877\pi\)
\(164\) 3.03486 + 16.3330i 0.236983 + 1.27539i
\(165\) −3.39510 + 1.34118i −0.264308 + 0.104410i
\(166\) −0.876212 0.521020i −0.0680072 0.0404390i
\(167\) 1.73690 5.34563i 0.134405 0.413657i −0.861092 0.508450i \(-0.830219\pi\)
0.995497 + 0.0947924i \(0.0302187\pi\)
\(168\) 3.85137 + 5.66789i 0.297139 + 0.437287i
\(169\) −3.86647 + 11.8998i −0.297420 + 0.915366i
\(170\) 16.8229 + 17.1720i 1.29025 + 1.31703i
\(171\) 0.999189 + 1.33496i 0.0764099 + 0.102087i
\(172\) −9.35480 + 19.6359i −0.713297 + 1.49722i
\(173\) −1.26475 + 1.74077i −0.0961569 + 0.132349i −0.854384 0.519641i \(-0.826066\pi\)
0.758228 + 0.651990i \(0.226066\pi\)
\(174\) −1.86441 + 8.52960i −0.141340 + 0.646627i
\(175\) 3.46549 6.07494i 0.261967 0.459223i
\(176\) 0.200756 + 3.76478i 0.0151325 + 0.283781i
\(177\) 11.4201 3.80051i 0.858385 0.285664i
\(178\) −7.89029 8.99300i −0.591402 0.674054i
\(179\) −6.90402 21.2484i −0.516030 1.58818i −0.781399 0.624031i \(-0.785494\pi\)
0.265369 0.964147i \(-0.414506\pi\)
\(180\) 12.9897 3.35668i 0.968196 0.250192i
\(181\) −2.28093 + 7.01999i −0.169541 + 0.521792i −0.999342 0.0362664i \(-0.988454\pi\)
0.829802 + 0.558058i \(0.188454\pi\)
\(182\) 1.26936 0.545702i 0.0940909 0.0404501i
\(183\) 0.0355149 + 0.0481588i 0.00262534 + 0.00356000i
\(184\) 11.5391 3.26290i 0.850672 0.240544i
\(185\) −0.813350 2.10254i −0.0597987 0.154582i
\(186\) −17.9940 + 16.0153i −1.31938 + 1.17430i
\(187\) −4.21148 5.79661i −0.307974 0.423890i
\(188\) 1.48295 11.3040i 0.108155 0.824431i
\(189\) −5.78777 + 4.39653i −0.420998 + 0.319801i
\(190\) −1.23004 1.25556i −0.0892363 0.0910881i
\(191\) 12.7156 9.23842i 0.920068 0.668468i −0.0234732 0.999724i \(-0.507472\pi\)
0.943541 + 0.331256i \(0.107472\pi\)
\(192\) 0.970034 13.8224i 0.0700062 0.997547i
\(193\) −15.6109 −1.12370 −0.561848 0.827241i \(-0.689909\pi\)
−0.561848 + 0.827241i \(0.689909\pi\)
\(194\) 2.41079 0.222076i 0.173085 0.0159441i
\(195\) −0.167767 2.69994i −0.0120140 0.193347i
\(196\) −9.10621 4.33833i −0.650444 0.309881i
\(197\) −5.36177 + 1.74214i −0.382010 + 0.124123i −0.493726 0.869618i \(-0.664365\pi\)
0.111716 + 0.993740i \(0.464365\pi\)
\(198\) −3.97635 + 0.423351i −0.282587 + 0.0300863i
\(199\) 11.8649i 0.841079i 0.907274 + 0.420539i \(0.138159\pi\)
−0.907274 + 0.420539i \(0.861841\pi\)
\(200\) −13.1044 + 5.31751i −0.926618 + 0.376005i
\(201\) 7.39434 + 5.29245i 0.521556 + 0.373300i
\(202\) 15.2349 + 3.44364i 1.07192 + 0.242294i
\(203\) 1.54070 + 4.74179i 0.108136 + 0.332809i
\(204\) 12.7400 + 23.0468i 0.891977 + 1.61360i
\(205\) 17.3224 6.70104i 1.20985 0.468021i
\(206\) −2.06261 22.3910i −0.143709 1.56006i
\(207\) 4.10185 + 12.0394i 0.285098 + 0.836794i
\(208\) −2.69932 0.720637i −0.187164 0.0499672i
\(209\) 0.307931 + 0.423831i 0.0213000 + 0.0293170i
\(210\) 5.43456 5.40028i 0.375020 0.372655i
\(211\) 9.31894 12.8264i 0.641542 0.883007i −0.357154 0.934045i \(-0.616253\pi\)
0.998697 + 0.0510380i \(0.0162530\pi\)
\(212\) −9.98552 1.30997i −0.685808 0.0899694i
\(213\) −0.118590 16.6916i −0.00812568 1.14369i
\(214\) −0.500165 + 2.21276i −0.0341906 + 0.151261i
\(215\) 23.5053 + 6.23295i 1.60305 + 0.425084i
\(216\) 14.6947 + 0.253804i 0.999851 + 0.0172692i
\(217\) −4.25082 + 13.0827i −0.288564 + 0.888109i
\(218\) −5.17139 12.0292i −0.350251 0.814717i
\(219\) 9.71097 + 13.1682i 0.656207 + 0.889827i
\(220\) 4.09564 0.996499i 0.276128 0.0671839i
\(221\) 5.04977 1.64077i 0.339685 0.110370i
\(222\) −0.243995 2.45746i −0.0163759 0.164934i
\(223\) 9.36149 12.8850i 0.626892 0.862842i −0.370940 0.928657i \(-0.620964\pi\)
0.997832 + 0.0658143i \(0.0209645\pi\)
\(224\) −3.50780 7.09267i −0.234375 0.473899i
\(225\) −6.36566 13.5823i −0.424377 0.905485i
\(226\) 16.9463 7.28530i 1.12725 0.484611i
\(227\) −13.4994 9.80788i −0.895986 0.650972i 0.0414460 0.999141i \(-0.486804\pi\)
−0.937432 + 0.348169i \(0.886804\pi\)
\(228\) −0.931509 1.68511i −0.0616907 0.111599i
\(229\) −2.45293 7.54935i −0.162094 0.498875i 0.836716 0.547637i \(-0.184472\pi\)
−0.998810 + 0.0487618i \(0.984472\pi\)
\(230\) −5.96364 12.0075i −0.393231 0.791754i
\(231\) −1.83783 + 1.35531i −0.120920 + 0.0891730i
\(232\) 3.48295 9.46092i 0.228667 0.621140i
\(233\) 3.56864 + 1.15952i 0.233789 + 0.0759628i 0.423569 0.905864i \(-0.360777\pi\)
−0.189779 + 0.981827i \(0.560777\pi\)
\(234\) 0.612205 2.89941i 0.0400211 0.189540i
\(235\) −12.7273 + 0.700107i −0.830240 + 0.0456700i
\(236\) −13.6639 + 2.53892i −0.889446 + 0.165270i
\(237\) 14.6462 0.104059i 0.951374 0.00675933i
\(238\) 12.9253 + 7.68577i 0.837826 + 0.498195i
\(239\) 10.2168 + 7.42294i 0.660870 + 0.480150i 0.866956 0.498384i \(-0.166073\pi\)
−0.206087 + 0.978534i \(0.566073\pi\)
\(240\) −15.3890 + 1.78275i −0.993357 + 0.115076i
\(241\) 12.1828 8.85135i 0.784765 0.570165i −0.121640 0.992574i \(-0.538815\pi\)
0.906405 + 0.422409i \(0.138815\pi\)
\(242\) 14.2397 1.31173i 0.915364 0.0843212i
\(243\) 0.553639 + 15.5786i 0.0355160 + 0.999369i
\(244\) −0.0329970 0.0607067i −0.00211242 0.00388635i
\(245\) −2.89056 + 10.9007i −0.184671 + 0.696419i
\(246\) 20.2466 2.01023i 1.29087 0.128168i
\(247\) −0.369225 + 0.119968i −0.0234932 + 0.00763340i
\(248\) 23.1171 15.4693i 1.46794 0.982300i
\(249\) −0.726670 + 1.01527i −0.0460508 + 0.0643399i
\(250\) 8.54399 + 13.3041i 0.540369 + 0.841428i
\(251\) −19.7188 −1.24464 −0.622319 0.782764i \(-0.713809\pi\)
−0.622319 + 0.782764i \(0.713809\pi\)
\(252\) 7.31610 4.11238i 0.460871 0.259055i
\(253\) 1.23483 + 3.80042i 0.0776332 + 0.238931i
\(254\) −19.1242 21.7970i −1.19996 1.36766i
\(255\) 22.6999 18.7494i 1.42152 1.17413i
\(256\) −3.29796 + 15.6564i −0.206122 + 0.978526i
\(257\) 10.0613i 0.627609i 0.949488 + 0.313804i \(0.101604\pi\)
−0.949488 + 0.313804i \(0.898396\pi\)
\(258\) 22.9927 + 13.4519i 1.43146 + 0.837480i
\(259\) −0.828913 1.14090i −0.0515061 0.0708921i
\(260\) −0.235578 + 3.11474i −0.0146100 + 0.193168i
\(261\) 10.2158 + 3.15955i 0.632341 + 0.195571i
\(262\) −1.95013 1.15960i −0.120479 0.0716403i
\(263\) −23.2025 + 16.8576i −1.43073 + 1.03948i −0.440845 + 0.897583i \(0.645321\pi\)
−0.989881 + 0.141900i \(0.954679\pi\)
\(264\) 4.61515 + 0.145330i 0.284043 + 0.00894447i
\(265\) 0.618446 + 11.2428i 0.0379908 + 0.690641i
\(266\) −0.945063 0.561961i −0.0579456 0.0344560i
\(267\) −11.7926 + 8.69653i −0.721698 + 0.532219i
\(268\) −7.61968 7.22418i −0.465446 0.441287i
\(269\) −21.3955 6.95183i −1.30451 0.423861i −0.427361 0.904081i \(-0.640557\pi\)
−0.877148 + 0.480220i \(0.840557\pi\)
\(270\) −2.74958 16.2000i −0.167334 0.985900i
\(271\) −2.25103 + 0.731404i −0.136740 + 0.0444297i −0.376588 0.926381i \(-0.622903\pi\)
0.239847 + 0.970811i \(0.422903\pi\)
\(272\) −10.9230 28.3779i −0.662306 1.72066i
\(273\) −0.534343 1.60563i −0.0323399 0.0971774i
\(274\) −19.6421 + 8.44423i −1.18662 + 0.510135i
\(275\) −1.93911 4.29523i −0.116933 0.259012i
\(276\) −2.78554 14.4200i −0.167670 0.867981i
\(277\) −11.0147 8.00263i −0.661808 0.480831i 0.205465 0.978664i \(-0.434129\pi\)
−0.867273 + 0.497833i \(0.834129\pi\)
\(278\) −2.90907 3.31563i −0.174474 0.198858i
\(279\) 17.6787 + 23.6194i 1.05839 + 1.41406i
\(280\) −7.07102 + 5.31638i −0.422574 + 0.317715i
\(281\) 20.5337 + 6.67182i 1.22494 + 0.398007i 0.848879 0.528587i \(-0.177278\pi\)
0.376062 + 0.926595i \(0.377278\pi\)
\(282\) −13.6411 2.98169i −0.812317 0.177557i
\(283\) 8.14044 + 2.64499i 0.483899 + 0.157228i 0.540800 0.841152i \(-0.318122\pi\)
−0.0569005 + 0.998380i \(0.518122\pi\)
\(284\) −2.50706 + 19.1105i −0.148766 + 1.13400i
\(285\) −1.65975 + 1.37090i −0.0983152 + 0.0812052i
\(286\) 0.205265 0.908104i 0.0121376 0.0536973i
\(287\) 9.39967 6.82926i 0.554845 0.403119i
\(288\) −16.7676 2.61685i −0.988040 0.154200i
\(289\) 32.9986 + 23.9749i 1.94109 + 1.41029i
\(290\) −11.1142 1.87750i −0.652647 0.110250i
\(291\) −0.0210659 2.96503i −0.00123491 0.173813i
\(292\) −9.02249 16.5993i −0.528001 0.971398i
\(293\) 1.06473i 0.0622019i 0.999516 + 0.0311010i \(0.00990134\pi\)
−0.999516 + 0.0311010i \(0.990099\pi\)
\(294\) −6.23839 + 10.6630i −0.363830 + 0.621877i
\(295\) 5.60599 + 14.4917i 0.326394 + 0.843739i
\(296\) −0.109998 + 2.84946i −0.00639353 + 0.165622i
\(297\) 0.104378 + 4.89642i 0.00605665 + 0.284119i
\(298\) 5.06837 + 1.14564i 0.293603 + 0.0663650i
\(299\) −2.96125 −0.171253
\(300\) 5.13059 + 16.5432i 0.296215 + 0.955121i
\(301\) 15.2120 0.876804
\(302\) 0.288490 + 0.0652094i 0.0166008 + 0.00375238i
\(303\) 5.78196 18.2348i 0.332165 1.04756i
\(304\) 0.798659 + 2.07491i 0.0458062 + 0.119004i
\(305\) −0.0599086 + 0.0487708i −0.00343036 + 0.00279261i
\(306\) 29.4460 13.1578i 1.68331 0.752180i
\(307\) 19.3540i 1.10459i −0.833648 0.552297i \(-0.813752\pi\)
0.833648 0.552297i \(-0.186248\pi\)
\(308\) 2.31668 1.25922i 0.132005 0.0717510i
\(309\) −27.5387 + 0.195657i −1.56662 + 0.0111305i
\(310\) −21.7631 22.2147i −1.23606 1.26171i
\(311\) 19.1282 + 13.8975i 1.08466 + 0.788053i 0.978490 0.206294i \(-0.0661404\pi\)
0.106173 + 0.994348i \(0.466140\pi\)
\(312\) −1.15929 + 3.21940i −0.0656317 + 0.182263i
\(313\) −8.55797 + 6.21773i −0.483725 + 0.351447i −0.802766 0.596294i \(-0.796639\pi\)
0.319041 + 0.947741i \(0.396639\pi\)
\(314\) 5.91046 26.1482i 0.333546 1.47563i
\(315\) −6.02678 7.19195i −0.339571 0.405220i
\(316\) −16.7687 2.19985i −0.943315 0.123751i
\(317\) 9.10169 + 2.95732i 0.511202 + 0.166100i 0.553249 0.833016i \(-0.313388\pi\)
−0.0420468 + 0.999116i \(0.513388\pi\)
\(318\) −2.63390 + 12.0500i −0.147702 + 0.675731i
\(319\) 3.19514 + 1.03816i 0.178893 + 0.0581260i
\(320\) 17.8841 + 0.397370i 0.999753 + 0.0222136i
\(321\) 2.64848 + 0.839789i 0.147824 + 0.0468725i
\(322\) −5.53121 6.30423i −0.308242 0.351321i
\(323\) −3.41836 2.48358i −0.190202 0.138190i
\(324\) 1.83324 17.9064i 0.101847 0.994800i
\(325\) 3.47126 0.383054i 0.192551 0.0212480i
\(326\) 23.7423 10.2069i 1.31497 0.565310i
\(327\) −15.2159 + 5.06375i −0.841442 + 0.280026i
\(328\) −23.4762 0.906257i −1.29626 0.0500397i
\(329\) −7.58340 + 2.46400i −0.418087 + 0.135845i
\(330\) −0.791450 5.10143i −0.0435679 0.280824i
\(331\) 26.9626 + 8.76070i 1.48200 + 0.481531i 0.934710 0.355411i \(-0.115659\pi\)
0.547291 + 0.836942i \(0.315659\pi\)
\(332\) 0.991903 1.04621i 0.0544378 0.0574180i
\(333\) −3.02426 + 0.0429757i −0.165728 + 0.00235505i
\(334\) 6.83228 + 4.06266i 0.373846 + 0.222299i
\(335\) −6.36811 + 9.86192i −0.347927 + 0.538814i
\(336\) −9.01921 + 3.54539i −0.492038 + 0.193417i
\(337\) 12.2835 8.92450i 0.669126 0.486149i −0.200606 0.979672i \(-0.564291\pi\)
0.869733 + 0.493523i \(0.164291\pi\)
\(338\) −15.2091 9.04378i −0.827268 0.491917i
\(339\) −7.13366 21.4357i −0.387447 1.16423i
\(340\) −28.9326 + 17.8515i −1.56909 + 0.968134i
\(341\) 5.44823 + 7.49884i 0.295038 + 0.406085i
\(342\) −2.15300 + 0.962058i −0.116421 + 0.0520221i
\(343\) 16.8461i 0.909603i
\(344\) −24.1692 19.0266i −1.30311 1.02584i
\(345\) −15.2717 + 6.03281i −0.822200 + 0.324796i
\(346\) −2.00690 2.28738i −0.107892 0.122970i
\(347\) 5.16065 + 15.8829i 0.277038 + 0.852636i 0.988673 + 0.150087i \(0.0479552\pi\)
−0.711634 + 0.702550i \(0.752045\pi\)
\(348\) −11.1845 5.23130i −0.599553 0.280427i
\(349\) −0.749233 −0.0401055 −0.0200528 0.999799i \(-0.506383\pi\)
−0.0200528 + 0.999799i \(0.506383\pi\)
\(350\) 7.29933 + 6.67450i 0.390165 + 0.356767i
\(351\) −3.47482 1.04771i −0.185472 0.0559225i
\(352\) −5.25578 0.896924i −0.280134 0.0478062i
\(353\) 16.0086 5.20152i 0.852054 0.276849i 0.149748 0.988724i \(-0.452154\pi\)
0.702306 + 0.711875i \(0.252154\pi\)
\(354\) 1.68173 + 16.9380i 0.0893829 + 0.900244i
\(355\) 21.5167 1.18360i 1.14199 0.0628187i
\(356\) 14.8652 8.07997i 0.787857 0.428238i
\(357\) 10.7194 14.9766i 0.567330 0.792645i
\(358\) 31.4630 2.89829i 1.66287 0.153180i
\(359\) −19.2899 + 14.0150i −1.01808 + 0.739681i −0.965889 0.258956i \(-0.916622\pi\)
−0.0521945 + 0.998637i \(0.516622\pi\)
\(360\) 0.580087 + 18.9648i 0.0305732 + 0.999533i
\(361\) −15.1214 10.9863i −0.795862 0.578228i
\(362\) −8.97228 5.33517i −0.471573 0.280410i
\(363\) −0.124429 17.5134i −0.00653085 0.919216i
\(364\) 0.356966 + 1.92112i 0.0187101 + 0.100694i
\(365\) −16.3810 + 13.3356i −0.857423 + 0.698016i
\(366\) −0.0775044 + 0.0339739i −0.00405122 + 0.00177585i
\(367\) 12.8458 + 4.17386i 0.670546 + 0.217873i 0.624451 0.781064i \(-0.285323\pi\)
0.0460942 + 0.998937i \(0.485323\pi\)
\(368\) 0.903029 + 16.9345i 0.0470737 + 0.882773i
\(369\) −0.354069 24.9163i −0.0184321 1.29709i
\(370\) 3.15387 0.466379i 0.163962 0.0242459i
\(371\) 2.17659 + 6.69887i 0.113003 + 0.347788i
\(372\) −16.4812 29.8147i −0.854510 1.54582i
\(373\) 5.22690 + 3.79756i 0.270638 + 0.196630i 0.714824 0.699305i \(-0.246507\pi\)
−0.444185 + 0.895935i \(0.646507\pi\)
\(374\) 9.30905 4.00201i 0.481360 0.206939i
\(375\) 17.1215 9.04730i 0.884151 0.467201i
\(376\) 15.1306 + 5.57017i 0.780299 + 0.287260i
\(377\) −1.46336 + 2.01414i −0.0753669 + 0.103734i
\(378\) −4.26002 9.35455i −0.219112 0.481146i
\(379\) −7.78474 + 2.52941i −0.399875 + 0.129927i −0.502049 0.864839i \(-0.667420\pi\)
0.102174 + 0.994767i \(0.467420\pi\)
\(380\) 2.11546 1.30525i 0.108521 0.0669579i
\(381\) −28.5826 + 21.0784i −1.46433 + 1.07988i
\(382\) 8.77890 + 20.4206i 0.449168 + 1.04481i
\(383\) 3.02099 9.29766i 0.154366 0.475088i −0.843731 0.536767i \(-0.819645\pi\)
0.998096 + 0.0616787i \(0.0196454\pi\)
\(384\) 18.7644 + 5.64788i 0.957565 + 0.288217i
\(385\) −1.86118 2.28622i −0.0948546 0.116517i
\(386\) 4.86744 21.5339i 0.247746 1.09604i
\(387\) 18.7999 26.6645i 0.955650 1.35543i
\(388\) −0.445344 + 3.39472i −0.0226089 + 0.172341i
\(389\) 7.93797 10.9257i 0.402471 0.553954i −0.558891 0.829241i \(-0.688773\pi\)
0.961362 + 0.275287i \(0.0887729\pi\)
\(390\) 3.77664 + 0.610416i 0.191238 + 0.0309096i
\(391\) −18.9439 26.0740i −0.958033 1.31862i
\(392\) 8.82365 11.2086i 0.445662 0.566117i
\(393\) −1.61730 + 2.25961i −0.0815820 + 0.113982i
\(394\) −0.731349 7.93929i −0.0368448 0.399976i
\(395\) 1.03856 + 18.8801i 0.0522556 + 0.949962i
\(396\) 0.655841 5.61703i 0.0329573 0.282266i
\(397\) −11.3811 35.0273i −0.571199 1.75797i −0.648772 0.760983i \(-0.724717\pi\)
0.0775729 0.996987i \(-0.475283\pi\)
\(398\) −16.3666 3.69944i −0.820382 0.185436i
\(399\) −0.783770 + 1.09504i −0.0392376 + 0.0548208i
\(400\) −3.24913 19.7343i −0.162457 0.986716i
\(401\) 21.5169i 1.07450i −0.843421 0.537252i \(-0.819462\pi\)
0.843421 0.537252i \(-0.180538\pi\)
\(402\) −9.60601 + 8.54968i −0.479104 + 0.426419i
\(403\) −6.53269 + 2.12260i −0.325417 + 0.105734i
\(404\) −9.50041 + 19.9415i −0.472663 + 0.992126i
\(405\) −20.0547 + 1.67588i −0.996527 + 0.0832749i
\(406\) −7.02128 + 0.646784i −0.348461 + 0.0320994i
\(407\) −0.950248 −0.0471020
\(408\) −35.7634 + 10.3878i −1.77055 + 0.514270i
\(409\) 6.48049 4.70835i 0.320440 0.232813i −0.415923 0.909400i \(-0.636542\pi\)
0.736363 + 0.676587i \(0.236542\pi\)
\(410\) 3.84241 + 25.9842i 0.189763 + 1.28327i
\(411\) 8.26847 + 24.8457i 0.407853 + 1.22555i
\(412\) 31.5296 + 4.13628i 1.55335 + 0.203780i
\(413\) 5.71326 + 7.86363i 0.281131 + 0.386944i
\(414\) −17.8862 + 1.90430i −0.879059 + 0.0935911i
\(415\) −1.35407 0.874362i −0.0664688 0.0429207i
\(416\) 1.83570 3.49879i 0.0900026 0.171542i
\(417\) −4.34783 + 3.20632i −0.212914 + 0.157014i
\(418\) −0.680650 + 0.292615i −0.0332917 + 0.0143123i
\(419\) −2.23727 + 6.88561i −0.109298 + 0.336384i −0.990715 0.135954i \(-0.956590\pi\)
0.881417 + 0.472338i \(0.156590\pi\)
\(420\) 5.75474 + 9.18030i 0.280802 + 0.447953i
\(421\) −6.82294 20.9988i −0.332530 1.02342i −0.967926 0.251235i \(-0.919163\pi\)
0.635396 0.772186i \(-0.280837\pi\)
\(422\) 14.7873 + 16.8539i 0.719835 + 0.820436i
\(423\) −5.05297 + 16.3378i −0.245684 + 0.794370i
\(424\) 4.92046 13.3657i 0.238959 0.649097i
\(425\) 25.5794 + 28.1142i 1.24078 + 1.36374i
\(426\) 23.0616 + 5.04081i 1.11734 + 0.244228i
\(427\) −0.0284043 + 0.0390951i −0.00137458 + 0.00189195i
\(428\) −2.89636 1.37987i −0.140001 0.0666985i
\(429\) −1.08692 0.344644i −0.0524771 0.0166396i
\(430\) −15.9267 + 30.4801i −0.768055 + 1.46988i
\(431\) 5.47037 16.8361i 0.263499 0.810965i −0.728537 0.685007i \(-0.759799\pi\)
0.992035 0.125959i \(-0.0402007\pi\)
\(432\) −4.93189 + 20.1910i −0.237286 + 0.971440i
\(433\) −7.41816 + 22.8308i −0.356494 + 1.09718i 0.598644 + 0.801015i \(0.295707\pi\)
−0.955138 + 0.296161i \(0.904293\pi\)
\(434\) −16.7210 9.94278i −0.802634 0.477269i
\(435\) −3.44349 + 13.3685i −0.165103 + 0.640972i
\(436\) 18.2056 3.38282i 0.871891 0.162008i
\(437\) 1.38512 + 1.90646i 0.0662593 + 0.0911981i
\(438\) −21.1923 + 9.28962i −1.01261 + 0.443875i
\(439\) −9.49504 + 13.0688i −0.453173 + 0.623740i −0.973076 0.230486i \(-0.925968\pi\)
0.519902 + 0.854226i \(0.325968\pi\)
\(440\) 0.0975706 + 5.96029i 0.00465149 + 0.284146i
\(441\) 12.3658 + 8.71852i 0.588846 + 0.415167i
\(442\) 0.688793 + 7.47732i 0.0327625 + 0.355660i
\(443\) 20.1940 0.959447 0.479723 0.877420i \(-0.340737\pi\)
0.479723 + 0.877420i \(0.340737\pi\)
\(444\) 3.46593 + 0.429661i 0.164486 + 0.0203908i
\(445\) −11.9425 14.6698i −0.566129 0.695416i
\(446\) 14.8548 + 16.9309i 0.703397 + 0.801700i
\(447\) 1.92355 6.06641i 0.0909810 0.286931i
\(448\) 10.8775 2.62723i 0.513911 0.124125i
\(449\) 8.94462i 0.422123i 0.977473 + 0.211061i \(0.0676920\pi\)
−0.977473 + 0.211061i \(0.932308\pi\)
\(450\) 20.7204 4.54595i 0.976768 0.214298i
\(451\) 7.82892i 0.368649i
\(452\) 4.76562 + 25.6475i 0.224156 + 1.20636i
\(453\) 0.109488 0.345298i 0.00514420 0.0162235i
\(454\) 17.7382 15.5632i 0.832495 0.730415i
\(455\) 2.03750 0.788189i 0.0955193 0.0369509i
\(456\) 2.61491 0.759522i 0.122454 0.0355679i
\(457\) −9.72369 −0.454855 −0.227428 0.973795i \(-0.573031\pi\)
−0.227428 + 0.973795i \(0.573031\pi\)
\(458\) 11.1785 1.02974i 0.522337 0.0481164i
\(459\) −13.0042 37.2985i −0.606984 1.74095i
\(460\) 18.4228 4.48240i 0.858968 0.208993i
\(461\) −23.8004 + 32.7584i −1.10849 + 1.52571i −0.284877 + 0.958564i \(0.591953\pi\)
−0.823617 + 0.567147i \(0.808047\pi\)
\(462\) −1.29651 2.95771i −0.0603189 0.137605i
\(463\) 20.3999 + 28.0780i 0.948062 + 1.30490i 0.952383 + 0.304905i \(0.0986246\pi\)
−0.00432102 + 0.999991i \(0.501375\pi\)
\(464\) 11.9646 + 7.75432i 0.555440 + 0.359985i
\(465\) −29.3660 + 24.2554i −1.36181 + 1.12482i
\(466\) −2.71216 + 4.56110i −0.125638 + 0.211289i
\(467\) −8.74971 + 26.9288i −0.404888 + 1.24612i 0.516100 + 0.856528i \(0.327383\pi\)
−0.920988 + 0.389590i \(0.872617\pi\)
\(468\) 3.80860 + 1.74851i 0.176053 + 0.0808251i
\(469\) −2.26928 + 6.98412i −0.104785 + 0.322496i
\(470\) 3.00262 17.7746i 0.138501 0.819879i
\(471\) −31.2972 9.92380i −1.44210 0.457265i
\(472\) 0.758162 19.6398i 0.0348972 0.903997i
\(473\) 6.02492 8.29259i 0.277026 0.381294i
\(474\) −4.42312 + 20.2356i −0.203161 + 0.929454i
\(475\) −1.87029 2.05563i −0.0858147 0.0943186i
\(476\) −14.6320 + 15.4330i −0.670655 + 0.707370i
\(477\) 14.4321 + 4.46359i 0.660802 + 0.204374i
\(478\) −13.4249 + 11.7787i −0.614040 + 0.538747i
\(479\) 5.34279 + 16.4434i 0.244118 + 0.751319i 0.995780 + 0.0917705i \(0.0292526\pi\)
−0.751662 + 0.659549i \(0.770747\pi\)
\(480\) 2.33911 21.7837i 0.106765 0.994284i
\(481\) 0.217605 0.669719i 0.00992193 0.0305365i
\(482\) 8.41109 + 19.5650i 0.383114 + 0.891161i
\(483\) −8.26682 + 6.09640i −0.376153 + 0.277396i
\(484\) −2.63050 + 20.0515i −0.119568 + 0.911430i
\(485\) 3.82215 0.210249i 0.173555 0.00954693i
\(486\) −21.6620 4.09369i −0.982608 0.185693i
\(487\) −14.8403 20.4260i −0.672480 0.925590i 0.327333 0.944909i \(-0.393850\pi\)
−0.999813 + 0.0193191i \(0.993850\pi\)
\(488\) 0.0940281 0.0265883i 0.00425645 0.00120360i
\(489\) −9.99448 30.0322i −0.451966 1.35810i
\(490\) −14.1353 7.38609i −0.638567 0.333669i
\(491\) 5.94090 4.31631i 0.268109 0.194792i −0.445605 0.895230i \(-0.647012\pi\)
0.713714 + 0.700437i \(0.247012\pi\)
\(492\) −3.53990 + 28.5552i −0.159591 + 1.28737i
\(493\) −27.0962 −1.22035
\(494\) −0.0503625 0.546719i −0.00226592 0.0245981i
\(495\) −6.30758 + 0.436942i −0.283504 + 0.0196391i
\(496\) 14.1307 + 36.7113i 0.634486 + 1.64839i
\(497\) 12.8204 4.16561i 0.575075 0.186853i
\(498\) −1.17390 1.31894i −0.0526036 0.0591029i
\(499\) 8.52203i 0.381498i −0.981639 0.190749i \(-0.938908\pi\)
0.981639 0.190749i \(-0.0610917\pi\)
\(500\) −21.0159 + 7.63749i −0.939860 + 0.341559i
\(501\) 5.66622 7.91655i 0.253148 0.353686i
\(502\) 6.14827 27.2003i 0.274411 1.21401i
\(503\) 4.26171 + 13.1162i 0.190020 + 0.584823i 0.999999 0.00163729i \(-0.000521164\pi\)
−0.809978 + 0.586460i \(0.800521\pi\)
\(504\) 3.39153 + 11.3742i 0.151071 + 0.506645i
\(505\) 23.8712 + 6.32996i 1.06225 + 0.281680i
\(506\) −5.62737 + 0.518380i −0.250167 + 0.0230448i
\(507\) −12.6134 + 17.6228i −0.560181 + 0.782656i
\(508\) 36.0299 19.5840i 1.59857 0.868899i
\(509\) 12.1728 + 16.7544i 0.539549 + 0.742625i 0.988548 0.150907i \(-0.0482195\pi\)
−0.448999 + 0.893532i \(0.648219\pi\)
\(510\) 18.7854 + 37.1586i 0.831832 + 1.64541i
\(511\) −7.76669 + 10.6899i −0.343578 + 0.472895i
\(512\) −20.5684 9.43089i −0.909003 0.416790i
\(513\) 0.950828 + 2.72716i 0.0419801 + 0.120407i
\(514\) −13.8787 3.13710i −0.612165 0.138372i
\(515\) −1.95276 35.4995i −0.0860489 1.56430i
\(516\) −25.7248 + 27.5222i −1.13247 + 1.21160i
\(517\) −1.66030 + 5.10988i −0.0730200 + 0.224732i
\(518\) 1.83223 0.787683i 0.0805034 0.0346088i
\(519\) −2.99947 + 2.21197i −0.131662 + 0.0970947i
\(520\) −4.22306 1.29613i −0.185193 0.0568390i
\(521\) −18.7058 + 6.07789i −0.819517 + 0.266277i −0.688624 0.725119i \(-0.741785\pi\)
−0.130894 + 0.991396i \(0.541785\pi\)
\(522\) −7.54359 + 13.1067i −0.330174 + 0.573662i
\(523\) −10.1023 + 13.9046i −0.441742 + 0.608006i −0.970598 0.240706i \(-0.922621\pi\)
0.528856 + 0.848711i \(0.322621\pi\)
\(524\) 2.20761 2.32847i 0.0964401 0.101720i
\(525\) 8.90199 8.21573i 0.388515 0.358564i
\(526\) −16.0191 37.2620i −0.698466 1.62470i
\(527\) −60.4810 43.9420i −2.63459 1.91414i
\(528\) −1.63947 + 6.32089i −0.0713486 + 0.275082i
\(529\) −1.55293 4.77943i −0.0675187 0.207801i
\(530\) −15.7013 2.65239i −0.682022 0.115213i
\(531\) 20.8446 0.296209i 0.904579 0.0128544i
\(532\) 1.06985 1.12841i 0.0463837 0.0489230i
\(533\) 5.51769 + 1.79281i 0.238998 + 0.0776551i
\(534\) −8.31919 18.9785i −0.360007 0.821280i
\(535\) −0.919384 + 3.46712i −0.0397484 + 0.149897i
\(536\) 12.3409 8.25820i 0.533047 0.356700i
\(537\) −0.274929 38.6963i −0.0118641 1.66987i
\(538\) 16.2605 27.3457i 0.701042 1.17896i
\(539\) 3.84573 + 2.79408i 0.165647 + 0.120350i
\(540\) 23.2038 + 1.25831i 0.998533 + 0.0541492i
\(541\) 3.87031 2.81195i 0.166398 0.120895i −0.501470 0.865175i \(-0.667207\pi\)
0.667868 + 0.744280i \(0.267207\pi\)
\(542\) −0.307042 3.33315i −0.0131886 0.143171i
\(543\) −7.44099 + 10.3962i −0.319324 + 0.446143i
\(544\) 42.5506 6.21921i 1.82434 0.266646i
\(545\) −7.46934 19.3085i −0.319951 0.827086i
\(546\) 2.38144 0.236447i 0.101916 0.0101190i
\(547\) 36.7937 11.9550i 1.57318 0.511158i 0.612895 0.790165i \(-0.290005\pi\)
0.960289 + 0.279006i \(0.0900051\pi\)
\(548\) −5.52372 29.7275i −0.235962 1.26990i
\(549\) 0.0334246 + 0.0981047i 0.00142653 + 0.00418701i
\(550\) 6.52951 1.33559i 0.278419 0.0569498i
\(551\) 1.98119 0.0844016
\(552\) 20.7597 + 0.653718i 0.883590 + 0.0278241i
\(553\) 3.65517 + 11.2494i 0.155434 + 0.478375i
\(554\) 14.4733 12.6986i 0.614911 0.539511i
\(555\) −0.242160 3.89718i −0.0102791 0.165426i
\(556\) 5.48067 2.97900i 0.232432 0.126338i
\(557\) 28.8417i 1.22206i −0.791607 0.611030i \(-0.790755\pi\)
0.791607 0.611030i \(-0.209245\pi\)
\(558\) −38.0931 + 17.0217i −1.61261 + 0.720586i
\(559\) 4.46479 + 6.14525i 0.188840 + 0.259916i
\(560\) −5.12876 11.4115i −0.216730 0.482224i
\(561\) −3.91870 11.7752i −0.165448 0.497150i
\(562\) −15.6056 + 26.2443i −0.658282 + 1.10705i
\(563\) 24.1794 17.5673i 1.01904 0.740375i 0.0529534 0.998597i \(-0.483137\pi\)
0.966086 + 0.258222i \(0.0831365\pi\)
\(564\) 8.36625 17.8871i 0.352283 0.753181i
\(565\) 27.2012 10.5226i 1.14437 0.442688i
\(566\) −6.18671 + 10.4043i −0.260047 + 0.437327i
\(567\) −11.8575 + 4.22886i −0.497968 + 0.177595i
\(568\) −25.5796 9.41688i −1.07330 0.395124i
\(569\) 21.5417 + 6.99933i 0.903076 + 0.293427i 0.723506 0.690318i \(-0.242529\pi\)
0.179570 + 0.983745i \(0.442529\pi\)
\(570\) −1.37353 2.71693i −0.0575310 0.113800i
\(571\) −41.8431 + 13.5957i −1.75108 + 0.568960i −0.996215 0.0869201i \(-0.972298\pi\)
−0.754865 + 0.655880i \(0.772298\pi\)
\(572\) 1.18865 + 0.566290i 0.0496999 + 0.0236778i
\(573\) 25.8304 8.59617i 1.07908 0.359110i
\(574\) 6.48958 + 15.0954i 0.270870 + 0.630069i
\(575\) −8.72241 19.3206i −0.363750 0.805724i
\(576\) 8.83782 22.3135i 0.368243 0.929730i
\(577\) −6.24552 4.53763i −0.260004 0.188904i 0.450145 0.892956i \(-0.351372\pi\)
−0.710149 + 0.704051i \(0.751372\pi\)
\(578\) −43.3601 + 38.0433i −1.80354 + 1.58239i
\(579\) −25.7742 8.17255i −1.07114 0.339639i
\(580\) 6.05522 14.7457i 0.251429 0.612280i
\(581\) −0.958941 0.311579i −0.0397836 0.0129265i
\(582\) 4.09657 + 0.895431i 0.169808 + 0.0371168i
\(583\) 4.51386 + 1.46664i 0.186945 + 0.0607421i
\(584\) 25.7104 7.27013i 1.06391 0.300840i
\(585\) 1.13647 4.54553i 0.0469874 0.187935i
\(586\) −1.46870 0.331979i −0.0606713 0.0137139i
\(587\) 22.8476 16.5998i 0.943023 0.685146i −0.00612359 0.999981i \(-0.501949\pi\)
0.949146 + 0.314835i \(0.101949\pi\)
\(588\) −12.7635 11.9300i −0.526359 0.491985i
\(589\) 4.42219 + 3.21291i 0.182213 + 0.132386i
\(590\) −21.7380 + 3.21450i −0.894938 + 0.132339i
\(591\) −9.76453 + 0.0693751i −0.401659 + 0.00285371i
\(592\) −3.89629 1.04019i −0.160136 0.0427515i
\(593\) 14.0680i 0.577705i −0.957374 0.288853i \(-0.906726\pi\)
0.957374 0.288853i \(-0.0932738\pi\)
\(594\) −6.78674 1.38271i −0.278463 0.0567334i
\(595\) 19.9745 + 12.8981i 0.818873 + 0.528769i
\(596\) −3.16062 + 6.63418i −0.129464 + 0.271746i
\(597\) −6.21146 + 19.5894i −0.254218 + 0.801740i
\(598\) 0.923311 4.08479i 0.0377570 0.167039i
\(599\) −14.8841 −0.608148 −0.304074 0.952648i \(-0.598347\pi\)
−0.304074 + 0.952648i \(0.598347\pi\)
\(600\) −24.4196 + 1.91907i −0.996926 + 0.0783457i
\(601\) −5.43937 −0.221876 −0.110938 0.993827i \(-0.535386\pi\)
−0.110938 + 0.993827i \(0.535386\pi\)
\(602\) −4.74307 + 20.9836i −0.193313 + 0.855229i
\(603\) 9.43766 + 12.6091i 0.384331 + 0.513482i
\(604\) −0.179901 + 0.377615i −0.00732008 + 0.0153650i
\(605\) 22.5762 1.24187i 0.917852 0.0504893i
\(606\) 23.3506 + 13.6613i 0.948553 + 0.554952i
\(607\) 21.7794i 0.883999i −0.897015 0.441999i \(-0.854269\pi\)
0.897015 0.441999i \(-0.145731\pi\)
\(608\) −3.11117 + 0.454730i −0.126175 + 0.0184417i
\(609\) 0.0613534 + 8.63547i 0.00248616 + 0.349927i
\(610\) −0.0485957 0.0978454i −0.00196758 0.00396165i
\(611\) −3.22115 2.34031i −0.130314 0.0946786i
\(612\) 8.96883 + 44.7207i 0.362543 + 1.80773i
\(613\) 28.0560 20.3839i 1.13317 0.823298i 0.147019 0.989134i \(-0.453032\pi\)
0.986153 + 0.165836i \(0.0530322\pi\)
\(614\) 26.6972 + 6.03455i 1.07741 + 0.243535i
\(615\) 32.1081 1.99511i 1.29472 0.0804505i
\(616\) 1.01466 + 3.58828i 0.0408817 + 0.144576i
\(617\) −19.7403 6.41403i −0.794716 0.258219i −0.116605 0.993178i \(-0.537201\pi\)
−0.678111 + 0.734959i \(0.737201\pi\)
\(618\) 8.31661 38.0482i 0.334543 1.53052i
\(619\) −44.4008 14.4267i −1.78462 0.579857i −0.785384 0.619009i \(-0.787534\pi\)
−0.999233 + 0.0391518i \(0.987534\pi\)
\(620\) 37.4289 23.0938i 1.50318 0.927469i
\(621\) 0.469510 + 22.0249i 0.0188408 + 0.883827i
\(622\) −25.1345 + 22.0525i −1.00780 + 0.884226i
\(623\) −9.57322 6.95535i −0.383543 0.278660i
\(624\) −4.07942 2.60294i −0.163308 0.104201i
\(625\) 12.7239 + 21.5198i 0.508955 + 0.860793i
\(626\) −5.90846 13.7437i −0.236150 0.549307i
\(627\) 0.286524 + 0.860968i 0.0114427 + 0.0343838i
\(628\) 34.2264 + 16.3059i 1.36578 + 0.650678i
\(629\) 7.28900 2.36834i 0.290631 0.0944319i
\(630\) 11.7998 6.07099i 0.470116 0.241874i
\(631\) 2.95970 + 0.961663i 0.117824 + 0.0382832i 0.367335 0.930089i \(-0.380270\pi\)
−0.249512 + 0.968372i \(0.580270\pi\)
\(632\) 8.26296 22.4451i 0.328683 0.892819i
\(633\) 22.1008 16.2983i 0.878427 0.647800i
\(634\) −6.91726 + 11.6329i −0.274719 + 0.462002i
\(635\) −28.9458 35.5562i −1.14868 1.41101i
\(636\) −15.8007 7.39040i −0.626538 0.293049i
\(637\) −2.84989 + 2.07056i −0.112917 + 0.0820387i
\(638\) −2.42829 + 4.08372i −0.0961371 + 0.161676i
\(639\) 8.54251 27.6205i 0.337936 1.09265i
\(640\) −6.12437 + 24.5457i −0.242087 + 0.970255i
\(641\) −3.03282 4.17432i −0.119789 0.164876i 0.744911 0.667164i \(-0.232492\pi\)
−0.864701 + 0.502288i \(0.832492\pi\)
\(642\) −1.98421 + 3.39151i −0.0783105 + 0.133852i
\(643\) 14.3133i 0.564461i −0.959347 0.282231i \(-0.908926\pi\)
0.959347 0.282231i \(-0.0910744\pi\)
\(644\) 10.4208 5.66418i 0.410636 0.223200i
\(645\) 35.5451 + 22.5963i 1.39959 + 0.889727i
\(646\) 4.49172 3.94095i 0.176724 0.155055i
\(647\) 7.65518 + 23.5602i 0.300956 + 0.926248i 0.981155 + 0.193221i \(0.0618933\pi\)
−0.680199 + 0.733027i \(0.738107\pi\)
\(648\) 24.1287 + 8.11198i 0.947866 + 0.318669i
\(649\) 6.54956 0.257093
\(650\) −0.553941 + 4.90773i −0.0217274 + 0.192497i
\(651\) −13.8673 + 19.3746i −0.543500 + 0.759351i
\(652\) 6.67678 + 35.9330i 0.261483 + 1.40725i
\(653\) −24.3114 + 7.89926i −0.951379 + 0.309122i −0.743276 0.668985i \(-0.766729\pi\)
−0.208103 + 0.978107i \(0.566729\pi\)
\(654\) −2.24071 22.5679i −0.0876187 0.882475i
\(655\) −3.01367 1.94601i −0.117754 0.0760369i
\(656\) 8.56993 32.1008i 0.334600 1.25333i
\(657\) 9.13941 + 26.8251i 0.356562 + 1.04655i
\(658\) −1.03438 11.2289i −0.0403244 0.437749i
\(659\) −8.99520 + 6.53539i −0.350403 + 0.254583i −0.749038 0.662527i \(-0.769484\pi\)
0.398635 + 0.917110i \(0.369484\pi\)
\(660\) 7.28375 + 0.498878i 0.283520 + 0.0194188i
\(661\) −25.0024 18.1653i −0.972481 0.706549i −0.0164651 0.999864i \(-0.505241\pi\)
−0.956016 + 0.293316i \(0.905241\pi\)
\(662\) −20.4915 + 34.4611i −0.796426 + 1.33937i
\(663\) 9.19634 0.0653382i 0.357156 0.00253753i
\(664\) 1.13388 + 1.69445i 0.0440030 + 0.0657574i
\(665\) −1.46047 0.943068i −0.0566348 0.0365706i
\(666\) 0.883676 4.18510i 0.0342417 0.162169i
\(667\) 14.3722 + 4.66981i 0.556494 + 0.180816i
\(668\) −7.73438 + 8.15781i −0.299252 + 0.315635i
\(669\) 22.2017 16.3727i 0.858367 0.633006i
\(670\) −11.6181 11.8592i −0.448847 0.458160i
\(671\) 0.0100622 + 0.0309684i 0.000388448 + 0.00119552i
\(672\) −2.07839 13.5467i −0.0801756 0.522574i
\(673\) −16.9582 12.3208i −0.653690 0.474934i 0.210836 0.977521i \(-0.432381\pi\)
−0.864526 + 0.502588i \(0.832381\pi\)
\(674\) 8.48060 + 19.7267i 0.326661 + 0.759844i
\(675\) −3.39941 25.7574i −0.130843 0.991403i
\(676\) 17.2173 18.1599i 0.662203 0.698456i
\(677\) 15.9790 21.9932i 0.614122 0.845267i −0.382786 0.923837i \(-0.625035\pi\)
0.996909 + 0.0785701i \(0.0250354\pi\)
\(678\) 31.7930 3.15664i 1.22100 0.121230i
\(679\) 2.27737 0.739964i 0.0873976 0.0283972i
\(680\) −15.6035 45.4760i −0.598367 1.74393i
\(681\) −17.1534 23.2603i −0.657321 0.891338i
\(682\) −12.0428 + 5.17724i −0.461141 + 0.198247i
\(683\) 12.3150 37.9016i 0.471219 1.45026i −0.379771 0.925081i \(-0.623997\pi\)
0.850990 0.525183i \(-0.176003\pi\)
\(684\) −0.655774 3.26985i −0.0250742 0.125026i
\(685\) −31.5284 + 12.1965i −1.20464 + 0.466004i
\(686\) −23.2377 5.25257i −0.887220 0.200544i
\(687\) −0.0976799 13.7484i −0.00372672 0.524535i
\(688\) 33.7814 27.4068i 1.28790 1.04488i
\(689\) −2.06733 + 2.84544i −0.0787590 + 0.108402i
\(690\) −3.56006 22.9470i −0.135529 0.873577i
\(691\) 23.0072 + 31.6667i 0.875237 + 1.20466i 0.977718 + 0.209925i \(0.0673219\pi\)
−0.102481 + 0.994735i \(0.532678\pi\)
\(692\) 3.78099 2.05515i 0.143732 0.0781250i
\(693\) −3.74385 + 1.27554i −0.142217 + 0.0484538i
\(694\) −23.5181 + 2.16643i −0.892735 + 0.0822367i
\(695\) −4.40308 5.40861i −0.167018 0.205160i
\(696\) 10.7034 13.7970i 0.405713 0.522973i
\(697\) 19.5123 + 60.0527i 0.739082 + 2.27466i
\(698\) 0.233609 1.03350i 0.00884225 0.0391187i
\(699\) 5.28494 + 3.78266i 0.199895 + 0.143073i
\(700\) −11.4828 + 7.98769i −0.434010 + 0.301906i
\(701\) 17.6599i 0.667007i −0.942749 0.333503i \(-0.891769\pi\)
0.942749 0.333503i \(-0.108231\pi\)
\(702\) 2.52866 4.46654i 0.0954382 0.168579i
\(703\) −0.532950 + 0.173166i −0.0201006 + 0.00653108i
\(704\) 2.87597 6.97023i 0.108392 0.262701i
\(705\) −21.3799 5.50707i −0.805212 0.207408i
\(706\) 2.18359 + 23.7044i 0.0821805 + 0.892125i
\(707\) 15.4488 0.581010
\(708\) −23.8888 2.96143i −0.897798 0.111297i
\(709\) 13.3990 9.73494i 0.503210 0.365603i −0.307032 0.951699i \(-0.599336\pi\)
0.810242 + 0.586096i \(0.199336\pi\)
\(710\) −5.07621 + 30.0495i −0.190507 + 1.12774i
\(711\) 24.2360 + 7.49573i 0.908919 + 0.281112i
\(712\) 6.51067 + 23.0246i 0.243998 + 0.862885i
\(713\) 24.5069 + 33.7309i 0.917792 + 1.26323i
\(714\) 17.3166 + 19.4561i 0.648059 + 0.728128i
\(715\) 0.377309 1.42288i 0.0141106 0.0532129i
\(716\) −5.81214 + 44.3041i −0.217210 + 1.65572i
\(717\) 12.9823 + 17.6042i 0.484833 + 0.657442i
\(718\) −13.3179 30.9786i −0.497018 1.15611i
\(719\) −0.598196 + 1.84106i −0.0223090 + 0.0686599i −0.961591 0.274486i \(-0.911492\pi\)
0.939282 + 0.343146i \(0.111492\pi\)
\(720\) −26.3412 5.11301i −0.981677 0.190550i
\(721\) −6.87266 21.1519i −0.255951 0.787737i
\(722\) 19.8695 17.4331i 0.739466 0.648794i
\(723\) 24.7482 8.23601i 0.920394 0.306300i
\(724\) 10.1569 10.7130i 0.377480 0.398145i
\(725\) −17.4516 3.61496i −0.648135 0.134256i
\(726\) 24.1971 + 5.28901i 0.898037 + 0.196294i
\(727\) 8.63327 11.8827i 0.320190 0.440704i −0.618335 0.785915i \(-0.712193\pi\)
0.938525 + 0.345211i \(0.112193\pi\)
\(728\) −2.76131 0.106596i −0.102341 0.00395070i
\(729\) −7.24158 + 26.0108i −0.268207 + 0.963361i
\(730\) −13.2877 26.7542i −0.491800 0.990218i
\(731\) −25.5470 + 78.6256i −0.944890 + 2.90807i
\(732\) −0.0226984 0.117504i −0.000838957 0.00434306i
\(733\) −2.97772 + 9.16449i −0.109985 + 0.338498i −0.990868 0.134835i \(-0.956949\pi\)
0.880883 + 0.473334i \(0.156949\pi\)
\(734\) −9.76277 + 16.4183i −0.360350 + 0.606010i
\(735\) −10.4791 + 16.4842i −0.386528 + 0.608029i
\(736\) −23.6413 4.03450i −0.871429 0.148714i
\(737\) 2.90851 + 4.00322i 0.107136 + 0.147460i
\(738\) 34.4803 + 7.28044i 1.26924 + 0.267997i
\(739\) −21.2180 + 29.2041i −0.780517 + 1.07429i 0.214708 + 0.976678i \(0.431120\pi\)
−0.995225 + 0.0976107i \(0.968880\pi\)
\(740\) −0.340041 + 4.49591i −0.0125002 + 0.165273i
\(741\) −0.672410 + 0.00477734i −0.0247016 + 0.000175500i
\(742\) −9.91917 + 0.913730i −0.364144 + 0.0335441i
\(743\) 0.164358 0.00602970 0.00301485 0.999995i \(-0.499040\pi\)
0.00301485 + 0.999995i \(0.499040\pi\)
\(744\) 46.2656 13.4382i 1.69618 0.492669i
\(745\) 7.94151 + 2.10587i 0.290954 + 0.0771530i
\(746\) −6.86815 + 6.02598i −0.251461 + 0.220627i
\(747\) −1.73127 + 1.29582i −0.0633438 + 0.0474116i
\(748\) 2.61788 + 14.0889i 0.0957191 + 0.515139i
\(749\) 2.24383i 0.0819876i
\(750\) 7.14152 + 26.4386i 0.260772 + 0.965401i
\(751\) 21.6627i 0.790482i 0.918577 + 0.395241i \(0.129339\pi\)
−0.918577 + 0.395241i \(0.870661\pi\)
\(752\) −12.4012 + 19.1345i −0.452227 + 0.697765i
\(753\) −32.5565 10.3231i −1.18642 0.376195i
\(754\) −2.32206 2.64658i −0.0845645 0.0963829i
\(755\) 0.452028 + 0.119865i 0.0164510 + 0.00436235i
\(756\) 14.2321 2.95960i 0.517615 0.107640i
\(757\) 26.5552 0.965166 0.482583 0.875850i \(-0.339699\pi\)
0.482583 + 0.875850i \(0.339699\pi\)
\(758\) −1.06184 11.5270i −0.0385679 0.418681i
\(759\) 0.0491731 + 6.92110i 0.00178487 + 0.251220i
\(760\) 1.14088 + 3.32507i 0.0413841 + 0.120613i
\(761\) −5.50063 + 7.57096i −0.199398 + 0.274447i −0.896993 0.442045i \(-0.854253\pi\)
0.697595 + 0.716492i \(0.254253\pi\)
\(762\) −20.1638 45.9995i −0.730457 1.66638i
\(763\) −7.61226 10.4774i −0.275582 0.379307i
\(764\) −30.9057 + 5.74264i −1.11813 + 0.207762i
\(765\) 47.2941 19.0722i 1.70992 0.689558i
\(766\) 11.8834 + 7.06619i 0.429364 + 0.255312i
\(767\) −1.49984 + 4.61602i −0.0541559 + 0.166675i
\(768\) −13.6415 + 24.1228i −0.492244 + 0.870458i
\(769\) −0.711265 + 2.18905i −0.0256489 + 0.0789392i −0.963062 0.269281i \(-0.913214\pi\)
0.937413 + 0.348220i \(0.113214\pi\)
\(770\) 3.73396 1.85450i 0.134562 0.0668315i
\(771\) −5.26727 + 16.6117i −0.189696 + 0.598254i
\(772\) 28.1864 + 13.4284i 1.01445 + 0.483300i
\(773\) −23.3428 + 32.1286i −0.839582 + 1.15559i 0.146481 + 0.989214i \(0.453205\pi\)