Properties

Label 192.2.s.a.59.6
Level $192$
Weight $2$
Character 192.59
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 59.6
Character \(\chi\) \(=\) 192.59
Dual form 192.2.s.a.179.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07887 - 0.914353i) q^{2} +(1.48602 + 0.889796i) q^{3} +(0.327916 + 1.97293i) q^{4} +(0.737769 - 3.70902i) q^{5} +(-0.789636 - 2.31872i) q^{6} +(-2.11735 - 0.877036i) q^{7} +(1.45018 - 2.42837i) q^{8} +(1.41653 + 2.64451i) q^{9} +O(q^{10})\) \(q+(-1.07887 - 0.914353i) q^{2} +(1.48602 + 0.889796i) q^{3} +(0.327916 + 1.97293i) q^{4} +(0.737769 - 3.70902i) q^{5} +(-0.789636 - 2.31872i) q^{6} +(-2.11735 - 0.877036i) q^{7} +(1.45018 - 2.42837i) q^{8} +(1.41653 + 2.64451i) q^{9} +(-4.18731 + 3.32696i) q^{10} +(-1.12300 - 1.68068i) q^{11} +(-1.26822 + 3.22360i) q^{12} +(6.48369 - 1.28969i) q^{13} +(1.48243 + 2.88222i) q^{14} +(4.39661 - 4.85522i) q^{15} +(-3.78494 + 1.29391i) q^{16} +(2.20185 + 2.20185i) q^{17} +(0.889772 - 4.14829i) q^{18} +(-1.20014 + 0.238723i) q^{19} +(7.55957 + 0.239323i) q^{20} +(-2.36605 - 3.18731i) q^{21} +(-0.325172 + 2.84005i) q^{22} +(-3.08364 + 1.27728i) q^{23} +(4.31575 - 2.31825i) q^{24} +(-8.59310 - 3.55938i) q^{25} +(-8.17427 - 4.53698i) q^{26} +(-0.248084 + 5.19023i) q^{27} +(1.03602 - 4.46499i) q^{28} +(-2.30855 - 1.54252i) q^{29} +(-9.18275 + 1.21809i) q^{30} +3.90995 q^{31} +(5.26655 + 2.06481i) q^{32} +(-0.173334 - 3.49677i) q^{33} +(-0.362239 - 4.38878i) q^{34} +(-4.81506 + 7.20625i) q^{35} +(-4.75295 + 3.66190i) q^{36} +(-0.767863 + 3.86031i) q^{37} +(1.51307 + 0.839802i) q^{38} +(10.7825 + 3.85265i) q^{39} +(-7.93696 - 7.17032i) q^{40} +(0.850228 + 2.05263i) q^{41} +(-0.361665 + 5.60209i) q^{42} +(3.77327 + 5.64710i) q^{43} +(2.94763 - 2.76672i) q^{44} +(10.8536 - 3.30288i) q^{45} +(4.49473 + 1.44151i) q^{46} +(-5.22625 + 5.22625i) q^{47} +(-6.77583 - 1.44504i) q^{48} +(-1.23576 - 1.23576i) q^{49} +(6.01630 + 11.6972i) q^{50} +(1.31280 + 5.23120i) q^{51} +(4.67057 + 12.3690i) q^{52} +(-8.91966 + 5.95992i) q^{53} +(5.01335 - 5.37274i) q^{54} +(-7.06219 + 2.92526i) q^{55} +(-5.20031 + 3.86985i) q^{56} +(-1.99585 - 0.713133i) q^{57} +(1.08021 + 3.77500i) q^{58} +(0.934849 + 0.185953i) q^{59} +(11.0207 + 7.08211i) q^{60} +(6.48467 + 4.33292i) q^{61} +(-4.21832 - 3.57508i) q^{62} +(-0.679955 - 6.84171i) q^{63} +(-3.79395 - 7.04315i) q^{64} -24.9996i q^{65} +(-3.01028 + 3.93105i) q^{66} +(-3.71874 + 5.56549i) q^{67} +(-3.62209 + 5.06614i) q^{68} +(-5.71888 - 0.845733i) q^{69} +(11.7839 - 3.37193i) q^{70} +(4.33632 - 10.4688i) q^{71} +(8.47607 + 0.395169i) q^{72} +(-1.32436 - 3.19728i) q^{73} +(4.35811 - 3.46267i) q^{74} +(-9.60242 - 12.9354i) q^{75} +(-0.864531 - 2.28952i) q^{76} +(0.903760 + 4.54351i) q^{77} +(-8.11018 - 14.0155i) q^{78} +(-7.64787 + 7.64787i) q^{79} +(2.00674 + 14.9930i) q^{80} +(-4.98690 + 7.49205i) q^{81} +(0.959546 - 2.99193i) q^{82} +(1.05055 + 5.28147i) q^{83} +(5.51248 - 5.71324i) q^{84} +(9.79117 - 6.54225i) q^{85} +(1.09258 - 9.54258i) q^{86} +(-2.05802 - 4.34635i) q^{87} +(-5.70987 + 0.289757i) q^{88} +(-2.02577 + 4.89065i) q^{89} +(-14.7296 - 6.36066i) q^{90} +(-14.8594 - 2.95571i) q^{91} +(-3.53117 - 5.66497i) q^{92} +(5.81027 + 3.47906i) q^{93} +(10.4171 - 0.859800i) q^{94} +4.62746i q^{95} +(5.98896 + 7.75451i) q^{96} +4.05246i q^{97} +(0.203301 + 2.46314i) q^{98} +(2.85383 - 5.35051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} + O(q^{10}) \) \( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07887 0.914353i −0.762876 0.646545i
\(3\) 1.48602 + 0.889796i 0.857956 + 0.513724i
\(4\) 0.327916 + 1.97293i 0.163958 + 0.986467i
\(5\) 0.737769 3.70902i 0.329940 1.65872i −0.358575 0.933501i \(-0.616737\pi\)
0.688516 0.725221i \(-0.258263\pi\)
\(6\) −0.789636 2.31872i −0.322368 0.946615i
\(7\) −2.11735 0.877036i −0.800284 0.331489i −0.0552140 0.998475i \(-0.517584\pi\)
−0.745070 + 0.666986i \(0.767584\pi\)
\(8\) 1.45018 2.42837i 0.512716 0.858558i
\(9\) 1.41653 + 2.64451i 0.472176 + 0.881504i
\(10\) −4.18731 + 3.32696i −1.32414 + 1.05208i
\(11\) −1.12300 1.68068i −0.338596 0.506745i 0.622626 0.782519i \(-0.286066\pi\)
−0.961222 + 0.275774i \(0.911066\pi\)
\(12\) −1.26822 + 3.22360i −0.366103 + 0.930574i
\(13\) 6.48369 1.28969i 1.79825 0.357694i 0.821190 0.570655i \(-0.193311\pi\)
0.977061 + 0.212961i \(0.0683106\pi\)
\(14\) 1.48243 + 2.88222i 0.396195 + 0.770305i
\(15\) 4.39661 4.85522i 1.13520 1.25361i
\(16\) −3.78494 + 1.29391i −0.946235 + 0.323479i
\(17\) 2.20185 + 2.20185i 0.534028 + 0.534028i 0.921769 0.387741i \(-0.126744\pi\)
−0.387741 + 0.921769i \(0.626744\pi\)
\(18\) 0.889772 4.14829i 0.209721 0.977761i
\(19\) −1.20014 + 0.238723i −0.275331 + 0.0547668i −0.330825 0.943692i \(-0.607327\pi\)
0.0554933 + 0.998459i \(0.482327\pi\)
\(20\) 7.55957 + 0.239323i 1.69037 + 0.0535143i
\(21\) −2.36605 3.18731i −0.516315 0.695528i
\(22\) −0.325172 + 2.84005i −0.0693269 + 0.605501i
\(23\) −3.08364 + 1.27728i −0.642983 + 0.266332i −0.680258 0.732973i \(-0.738132\pi\)
0.0372751 + 0.999305i \(0.488132\pi\)
\(24\) 4.31575 2.31825i 0.880949 0.473210i
\(25\) −8.59310 3.55938i −1.71862 0.711875i
\(26\) −8.17427 4.53698i −1.60311 0.889774i
\(27\) −0.248084 + 5.19023i −0.0477438 + 0.998860i
\(28\) 1.03602 4.46499i 0.195790 0.843804i
\(29\) −2.30855 1.54252i −0.428686 0.286439i 0.322450 0.946587i \(-0.395494\pi\)
−0.751136 + 0.660148i \(0.770494\pi\)
\(30\) −9.18275 + 1.21809i −1.67653 + 0.222392i
\(31\) 3.90995 0.702248 0.351124 0.936329i \(-0.385800\pi\)
0.351124 + 0.936329i \(0.385800\pi\)
\(32\) 5.26655 + 2.06481i 0.931004 + 0.365010i
\(33\) −0.173334 3.49677i −0.0301736 0.608710i
\(34\) −0.362239 4.38878i −0.0621236 0.752670i
\(35\) −4.81506 + 7.20625i −0.813894 + 1.21808i
\(36\) −4.75295 + 3.66190i −0.792158 + 0.610316i
\(37\) −0.767863 + 3.86031i −0.126236 + 0.634631i 0.864918 + 0.501913i \(0.167370\pi\)
−0.991154 + 0.132718i \(0.957630\pi\)
\(38\) 1.51307 + 0.839802i 0.245453 + 0.136234i
\(39\) 10.7825 + 3.85265i 1.72658 + 0.616918i
\(40\) −7.93696 7.17032i −1.25494 1.13373i
\(41\) 0.850228 + 2.05263i 0.132783 + 0.320567i 0.976261 0.216597i \(-0.0694957\pi\)
−0.843478 + 0.537164i \(0.819496\pi\)
\(42\) −0.361665 + 5.60209i −0.0558061 + 0.864422i
\(43\) 3.77327 + 5.64710i 0.575418 + 0.861174i 0.999001 0.0446831i \(-0.0142278\pi\)
−0.423583 + 0.905857i \(0.639228\pi\)
\(44\) 2.94763 2.76672i 0.444372 0.417099i
\(45\) 10.8536 3.30288i 1.61796 0.492365i
\(46\) 4.49473 + 1.44151i 0.662712 + 0.212539i
\(47\) −5.22625 + 5.22625i −0.762327 + 0.762327i −0.976743 0.214415i \(-0.931215\pi\)
0.214415 + 0.976743i \(0.431215\pi\)
\(48\) −6.77583 1.44504i −0.978007 0.208573i
\(49\) −1.23576 1.23576i −0.176537 0.176537i
\(50\) 6.01630 + 11.6972i 0.850833 + 1.65424i
\(51\) 1.31280 + 5.23120i 0.183829 + 0.732515i
\(52\) 4.67057 + 12.3690i 0.647692 + 1.71527i
\(53\) −8.91966 + 5.95992i −1.22521 + 0.818659i −0.988248 0.152861i \(-0.951151\pi\)
−0.236961 + 0.971519i \(0.576151\pi\)
\(54\) 5.01335 5.37274i 0.682231 0.731137i
\(55\) −7.06219 + 2.92526i −0.952266 + 0.394441i
\(56\) −5.20031 + 3.86985i −0.694921 + 0.517131i
\(57\) −1.99585 0.713133i −0.264357 0.0944567i
\(58\) 1.08021 + 3.77500i 0.141838 + 0.495682i
\(59\) 0.934849 + 0.185953i 0.121707 + 0.0242090i 0.255568 0.966791i \(-0.417738\pi\)
−0.133861 + 0.991000i \(0.542738\pi\)
\(60\) 11.0207 + 7.08211i 1.42277 + 0.914297i
\(61\) 6.48467 + 4.33292i 0.830277 + 0.554773i 0.896506 0.443031i \(-0.146097\pi\)
−0.0662291 + 0.997804i \(0.521097\pi\)
\(62\) −4.21832 3.57508i −0.535728 0.454035i
\(63\) −0.679955 6.84171i −0.0856663 0.861975i
\(64\) −3.79395 7.04315i −0.474244 0.880393i
\(65\) 24.9996i 3.10082i
\(66\) −3.01028 + 3.93105i −0.370540 + 0.483878i
\(67\) −3.71874 + 5.56549i −0.454317 + 0.679933i −0.985950 0.167042i \(-0.946579\pi\)
0.531633 + 0.846975i \(0.321579\pi\)
\(68\) −3.62209 + 5.06614i −0.439243 + 0.614359i
\(69\) −5.71888 0.845733i −0.688472 0.101814i
\(70\) 11.7839 3.37193i 1.40844 0.403023i
\(71\) 4.33632 10.4688i 0.514627 1.24242i −0.426538 0.904470i \(-0.640267\pi\)
0.941164 0.337949i \(-0.109733\pi\)
\(72\) 8.47607 + 0.395169i 0.998915 + 0.0465711i
\(73\) −1.32436 3.19728i −0.155004 0.374213i 0.827232 0.561860i \(-0.189914\pi\)
−0.982237 + 0.187647i \(0.939914\pi\)
\(74\) 4.35811 3.46267i 0.506620 0.402527i
\(75\) −9.60242 12.9354i −1.10879 1.49365i
\(76\) −0.864531 2.28952i −0.0991685 0.262626i
\(77\) 0.903760 + 4.54351i 0.102993 + 0.517781i
\(78\) −8.11018 14.0155i −0.918297 1.58694i
\(79\) −7.64787 + 7.64787i −0.860452 + 0.860452i −0.991391 0.130938i \(-0.958201\pi\)
0.130938 + 0.991391i \(0.458201\pi\)
\(80\) 2.00674 + 14.9930i 0.224360 + 1.67627i
\(81\) −4.98690 + 7.49205i −0.554100 + 0.832450i
\(82\) 0.959546 2.99193i 0.105964 0.330403i
\(83\) 1.05055 + 5.28147i 0.115313 + 0.579716i 0.994631 + 0.103482i \(0.0329985\pi\)
−0.879319 + 0.476234i \(0.842002\pi\)
\(84\) 5.51248 5.71324i 0.601461 0.623365i
\(85\) 9.79117 6.54225i 1.06200 0.709607i
\(86\) 1.09258 9.54258i 0.117816 1.02900i
\(87\) −2.05802 4.34635i −0.220643 0.465978i
\(88\) −5.70987 + 0.289757i −0.608674 + 0.0308882i
\(89\) −2.02577 + 4.89065i −0.214732 + 0.518408i −0.994139 0.108109i \(-0.965520\pi\)
0.779407 + 0.626518i \(0.215520\pi\)
\(90\) −14.7296 6.36066i −1.55264 0.670472i
\(91\) −14.8594 2.95571i −1.55768 0.309842i
\(92\) −3.53117 5.66497i −0.368150 0.590614i
\(93\) 5.81027 + 3.47906i 0.602497 + 0.360761i
\(94\) 10.4171 0.859800i 1.07444 0.0886816i
\(95\) 4.62746i 0.474768i
\(96\) 5.98896 + 7.75451i 0.611245 + 0.791441i
\(97\) 4.05246i 0.411465i 0.978608 + 0.205733i \(0.0659577\pi\)
−0.978608 + 0.205733i \(0.934042\pi\)
\(98\) 0.203301 + 2.46314i 0.0205365 + 0.248814i
\(99\) 2.85383 5.35051i 0.286821 0.537747i
\(100\) 4.20460 18.1208i 0.420460 1.81208i
\(101\) 5.41425 + 1.07696i 0.538738 + 0.107162i 0.456957 0.889489i \(-0.348939\pi\)
0.0817808 + 0.996650i \(0.473939\pi\)
\(102\) 3.36682 6.84415i 0.333365 0.677672i
\(103\) 5.94826 14.3604i 0.586099 1.41497i −0.301105 0.953591i \(-0.597355\pi\)
0.887204 0.461377i \(-0.152645\pi\)
\(104\) 6.27068 17.6151i 0.614891 1.72730i
\(105\) −13.5674 + 6.42423i −1.32404 + 0.626940i
\(106\) 15.0726 + 1.72574i 1.46398 + 0.167619i
\(107\) 8.93538 5.97043i 0.863816 0.577183i −0.0428270 0.999083i \(-0.513636\pi\)
0.906643 + 0.421899i \(0.138636\pi\)
\(108\) −10.3213 + 1.21251i −0.993170 + 0.116674i
\(109\) −2.01241 10.1171i −0.192754 0.969039i −0.949126 0.314897i \(-0.898030\pi\)
0.756372 0.654142i \(-0.226970\pi\)
\(110\) 10.2939 + 3.30137i 0.981484 + 0.314773i
\(111\) −4.57595 + 5.05327i −0.434330 + 0.479635i
\(112\) 9.14887 + 0.579857i 0.864487 + 0.0547913i
\(113\) 1.90478 1.90478i 0.179186 0.179186i −0.611815 0.791001i \(-0.709560\pi\)
0.791001 + 0.611815i \(0.209560\pi\)
\(114\) 1.50121 + 2.59429i 0.140601 + 0.242978i
\(115\) 2.46246 + 12.3796i 0.229625 + 1.15440i
\(116\) 2.28628 5.06043i 0.212276 0.469849i
\(117\) 12.5949 + 15.3193i 1.16440 + 1.41627i
\(118\) −0.838553 1.05540i −0.0771950 0.0971576i
\(119\) −2.73100 6.59321i −0.250350 0.604398i
\(120\) −5.41439 17.7175i −0.494264 1.61738i
\(121\) 2.64594 6.38787i 0.240540 0.580716i
\(122\) −3.03429 10.6039i −0.274712 0.960035i
\(123\) −0.562965 + 3.80679i −0.0507608 + 0.343246i
\(124\) 1.28214 + 7.71408i 0.115139 + 0.692744i
\(125\) −9.03656 + 13.5242i −0.808254 + 1.20964i
\(126\) −5.52216 + 8.00303i −0.491953 + 0.712967i
\(127\) 12.2271i 1.08498i −0.840062 0.542491i \(-0.817481\pi\)
0.840062 0.542491i \(-0.182519\pi\)
\(128\) −2.34674 + 11.0676i −0.207425 + 0.978251i
\(129\) 0.582403 + 11.7492i 0.0512777 + 1.03446i
\(130\) −22.8584 + 26.9713i −2.00482 + 2.36554i
\(131\) 14.6544 + 9.79178i 1.28036 + 0.855511i 0.994700 0.102819i \(-0.0327861\pi\)
0.285663 + 0.958330i \(0.407786\pi\)
\(132\) 6.84206 1.48862i 0.595525 0.129568i
\(133\) 2.75049 + 0.547107i 0.238498 + 0.0474402i
\(134\) 9.10086 2.60419i 0.786195 0.224968i
\(135\) 19.0676 + 4.74934i 1.64108 + 0.408758i
\(136\) 8.54000 2.15383i 0.732299 0.184689i
\(137\) −14.9407 + 6.18863i −1.27647 + 0.528730i −0.914925 0.403625i \(-0.867750\pi\)
−0.361544 + 0.932355i \(0.617750\pi\)
\(138\) 5.39662 + 6.14151i 0.459391 + 0.522800i
\(139\) 10.0112 6.68929i 0.849142 0.567378i −0.0531096 0.998589i \(-0.516913\pi\)
0.902251 + 0.431210i \(0.141913\pi\)
\(140\) −15.7964 7.13675i −1.33504 0.603166i
\(141\) −12.4166 + 3.11603i −1.04567 + 0.262417i
\(142\) −14.2505 + 7.32954i −1.19588 + 0.615081i
\(143\) −9.44871 9.44871i −0.790141 0.790141i
\(144\) −8.78325 8.17646i −0.731937 0.681372i
\(145\) −7.42441 + 7.42441i −0.616563 + 0.616563i
\(146\) −1.49463 + 4.66037i −0.123697 + 0.385695i
\(147\) −0.736791 2.93593i −0.0607695 0.242152i
\(148\) −7.86793 0.249085i −0.646740 0.0204747i
\(149\) −6.74891 10.1005i −0.552893 0.827462i 0.444781 0.895640i \(-0.353282\pi\)
−0.997673 + 0.0681772i \(0.978282\pi\)
\(150\) −1.46779 + 22.7356i −0.119844 + 1.85636i
\(151\) −1.04850 2.53129i −0.0853254 0.205994i 0.875458 0.483295i \(-0.160560\pi\)
−0.960783 + 0.277301i \(0.910560\pi\)
\(152\) −1.16071 + 3.26058i −0.0941463 + 0.264468i
\(153\) −2.70384 + 8.94182i −0.218593 + 0.722903i
\(154\) 3.17933 5.72821i 0.256198 0.461592i
\(155\) 2.88464 14.5021i 0.231700 1.16483i
\(156\) −4.06529 + 22.5364i −0.325483 + 1.80436i
\(157\) −8.02013 + 12.0030i −0.640076 + 0.957941i 0.359616 + 0.933101i \(0.382908\pi\)
−0.999691 + 0.0248406i \(0.992092\pi\)
\(158\) 15.2439 1.25819i 1.21274 0.100097i
\(159\) −18.5579 + 0.919912i −1.47174 + 0.0729537i
\(160\) 11.5439 18.0104i 0.912626 1.42384i
\(161\) 7.64937 0.602855
\(162\) 12.2306 3.52315i 0.960926 0.276805i
\(163\) 2.83973 + 1.89745i 0.222425 + 0.148619i 0.661791 0.749689i \(-0.269797\pi\)
−0.439366 + 0.898308i \(0.644797\pi\)
\(164\) −3.77090 + 2.35054i −0.294458 + 0.183546i
\(165\) −13.0975 1.93691i −1.01964 0.150788i
\(166\) 3.69572 6.65858i 0.286844 0.516806i
\(167\) −1.54575 0.640271i −0.119614 0.0495457i 0.322074 0.946715i \(-0.395620\pi\)
−0.441688 + 0.897169i \(0.645620\pi\)
\(168\) −11.1712 + 1.12348i −0.861874 + 0.0866781i
\(169\) 28.3645 11.7489i 2.18188 0.903765i
\(170\) −16.5453 1.89436i −1.26897 0.145291i
\(171\) −2.33134 2.83563i −0.178282 0.216846i
\(172\) −9.90404 + 9.29619i −0.755176 + 0.708828i
\(173\) 11.0118 2.19039i 0.837215 0.166532i 0.242179 0.970232i \(-0.422138\pi\)
0.595036 + 0.803699i \(0.297138\pi\)
\(174\) −1.75377 + 6.57091i −0.132953 + 0.498139i
\(175\) 15.0729 + 15.0729i 1.13941 + 1.13941i
\(176\) 6.42514 + 4.90823i 0.484313 + 0.369971i
\(177\) 1.22375 + 1.10816i 0.0919824 + 0.0832940i
\(178\) 6.65733 3.42410i 0.498988 0.256647i
\(179\) −1.79942 + 0.357927i −0.134495 + 0.0267527i −0.261879 0.965101i \(-0.584342\pi\)
0.127384 + 0.991854i \(0.459342\pi\)
\(180\) 10.0754 + 20.3304i 0.750980 + 1.51534i
\(181\) −8.04643 12.0423i −0.598086 0.895099i 0.401700 0.915771i \(-0.368419\pi\)
−0.999786 + 0.0206721i \(0.993419\pi\)
\(182\) 13.3287 + 16.7755i 0.987991 + 1.24348i
\(183\) 5.78096 + 12.2088i 0.427341 + 0.902504i
\(184\) −1.37011 + 9.34050i −0.101006 + 0.688591i
\(185\) 13.7514 + 5.69603i 1.01103 + 0.418781i
\(186\) −3.08744 9.06609i −0.226382 0.664758i
\(187\) 1.22794 6.17329i 0.0897962 0.451436i
\(188\) −12.0248 8.59728i −0.877001 0.627021i
\(189\) 5.07730 10.7720i 0.369319 0.783545i
\(190\) 4.23114 4.99243i 0.306959 0.362189i
\(191\) −18.6208 −1.34735 −0.673677 0.739026i \(-0.735286\pi\)
−0.673677 + 0.739026i \(0.735286\pi\)
\(192\) 0.629059 13.8421i 0.0453984 0.998969i
\(193\) 8.36276 0.601964 0.300982 0.953630i \(-0.402686\pi\)
0.300982 + 0.953630i \(0.402686\pi\)
\(194\) 3.70538 4.37207i 0.266031 0.313897i
\(195\) 22.2445 37.1499i 1.59296 2.66036i
\(196\) 2.03284 2.84329i 0.145203 0.203092i
\(197\) −2.84065 + 14.2809i −0.202388 + 1.01747i 0.737333 + 0.675529i \(0.236085\pi\)
−0.939721 + 0.341942i \(0.888915\pi\)
\(198\) −7.97117 + 3.16309i −0.566486 + 0.224791i
\(199\) 4.40886 + 1.82621i 0.312536 + 0.129457i 0.533437 0.845840i \(-0.320900\pi\)
−0.220902 + 0.975296i \(0.570900\pi\)
\(200\) −21.1050 + 15.7055i −1.49235 + 1.11054i
\(201\) −10.4783 + 4.96153i −0.739082 + 0.349959i
\(202\) −4.85654 6.11244i −0.341705 0.430069i
\(203\) 3.53516 + 5.29074i 0.248120 + 0.371337i
\(204\) −9.89033 + 4.30548i −0.692462 + 0.301444i
\(205\) 8.24051 1.63914i 0.575542 0.114482i
\(206\) −19.5478 + 10.0541i −1.36196 + 0.700505i
\(207\) −7.74585 6.34541i −0.538374 0.441037i
\(208\) −22.8716 + 13.2707i −1.58586 + 0.920159i
\(209\) 1.74897 + 1.74897i 0.120979 + 0.120979i
\(210\) 20.5114 + 5.47447i 1.41542 + 0.377775i
\(211\) −25.3114 + 5.03475i −1.74251 + 0.346607i −0.960844 0.277091i \(-0.910630\pi\)
−0.781666 + 0.623698i \(0.785630\pi\)
\(212\) −14.6834 15.6435i −1.00846 1.07440i
\(213\) 15.7590 11.6984i 1.07979 0.801564i
\(214\) −15.0992 1.72878i −1.03216 0.118177i
\(215\) 23.7290 9.82886i 1.61830 0.670323i
\(216\) 12.2440 + 8.12920i 0.833100 + 0.553122i
\(217\) −8.27874 3.42917i −0.561998 0.232787i
\(218\) −7.07944 + 12.7550i −0.479480 + 0.863880i
\(219\) 0.876901 5.92963i 0.0592555 0.400687i
\(220\) −8.08715 12.9740i −0.545235 0.874707i
\(221\) 17.1158 + 11.4364i 1.15133 + 0.769297i
\(222\) 9.55732 1.26778i 0.641445 0.0850877i
\(223\) −8.76266 −0.586791 −0.293396 0.955991i \(-0.594785\pi\)
−0.293396 + 0.955991i \(0.594785\pi\)
\(224\) −9.34024 8.99089i −0.624071 0.600729i
\(225\) −2.75954 27.7665i −0.183969 1.85110i
\(226\) −3.79664 + 0.313366i −0.252549 + 0.0208448i
\(227\) 4.54940 6.80866i 0.301954 0.451907i −0.649202 0.760616i \(-0.724897\pi\)
0.951156 + 0.308709i \(0.0998970\pi\)
\(228\) 0.752492 4.17153i 0.0498350 0.276267i
\(229\) 2.10021 10.5585i 0.138786 0.697724i −0.847250 0.531194i \(-0.821744\pi\)
0.986036 0.166531i \(-0.0532564\pi\)
\(230\) 8.66266 15.6075i 0.571199 1.02913i
\(231\) −2.69979 + 7.55592i −0.177633 + 0.497143i
\(232\) −7.09362 + 3.36907i −0.465719 + 0.221190i
\(233\) 5.25319 + 12.6823i 0.344148 + 0.830846i 0.997287 + 0.0736083i \(0.0234515\pi\)
−0.653140 + 0.757237i \(0.726549\pi\)
\(234\) 0.419011 28.0437i 0.0273916 1.83328i
\(235\) 15.5285 + 23.2400i 1.01297 + 1.51601i
\(236\) −0.0603209 + 1.90537i −0.00392656 + 0.124029i
\(237\) −18.1699 + 4.55987i −1.18026 + 0.296195i
\(238\) −3.08213 + 9.61030i −0.199785 + 0.622943i
\(239\) 14.4336 14.4336i 0.933632 0.933632i −0.0642985 0.997931i \(-0.520481\pi\)
0.997931 + 0.0642985i \(0.0204810\pi\)
\(240\) −10.3587 + 24.0656i −0.668649 + 1.55342i
\(241\) −1.53120 1.53120i −0.0986335 0.0986335i 0.656068 0.754702i \(-0.272218\pi\)
−0.754702 + 0.656068i \(0.772218\pi\)
\(242\) −8.69540 + 4.47235i −0.558961 + 0.287494i
\(243\) −14.0770 + 6.69604i −0.903043 + 0.429551i
\(244\) −6.42214 + 14.2147i −0.411135 + 0.910001i
\(245\) −5.49514 + 3.67174i −0.351072 + 0.234579i
\(246\) 4.08811 3.59227i 0.260648 0.229035i
\(247\) −7.47346 + 3.09561i −0.475525 + 0.196969i
\(248\) 5.67013 9.49480i 0.360054 0.602920i
\(249\) −3.13829 + 8.78315i −0.198881 + 0.556610i
\(250\) 22.1151 6.32820i 1.39868 0.400230i
\(251\) −13.0147 2.58878i −0.821478 0.163402i −0.233581 0.972337i \(-0.575044\pi\)
−0.587898 + 0.808935i \(0.700044\pi\)
\(252\) 13.2753 3.58502i 0.836264 0.225835i
\(253\) 5.60962 + 3.74823i 0.352674 + 0.235649i
\(254\) −11.1799 + 13.1915i −0.701490 + 0.827706i
\(255\) 20.3712 1.00979i 1.27569 0.0632357i
\(256\) 12.6516 9.79479i 0.790723 0.612174i
\(257\) 15.8439i 0.988317i 0.869372 + 0.494159i \(0.164524\pi\)
−0.869372 + 0.494159i \(0.835476\pi\)
\(258\) 10.1145 13.2083i 0.629704 0.822314i
\(259\) 5.01147 7.50019i 0.311398 0.466039i
\(260\) 49.3225 8.19777i 3.05885 0.508404i
\(261\) 0.809098 8.29000i 0.0500819 0.513138i
\(262\) −6.85707 23.9634i −0.423631 1.48046i
\(263\) −5.63185 + 13.5965i −0.347275 + 0.838395i 0.649665 + 0.760221i \(0.274909\pi\)
−0.996940 + 0.0781746i \(0.975091\pi\)
\(264\) −8.74282 4.65003i −0.538083 0.286189i
\(265\) 15.5248 + 37.4802i 0.953681 + 2.30239i
\(266\) −2.46717 3.10518i −0.151272 0.190391i
\(267\) −7.36203 + 5.46510i −0.450549 + 0.334458i
\(268\) −12.1998 5.51182i −0.745221 0.336688i
\(269\) −1.19156 5.99038i −0.0726507 0.365240i 0.927308 0.374299i \(-0.122116\pi\)
−0.999959 + 0.00905875i \(0.997116\pi\)
\(270\) −16.2289 22.5584i −0.987658 1.37286i
\(271\) −3.55699 + 3.55699i −0.216072 + 0.216072i −0.806841 0.590769i \(-0.798825\pi\)
0.590769 + 0.806841i \(0.298825\pi\)
\(272\) −11.1829 5.48488i −0.678063 0.332569i
\(273\) −19.4514 17.6140i −1.17725 1.06605i
\(274\) 21.7776 + 6.98433i 1.31563 + 0.421939i
\(275\) 3.66783 + 18.4394i 0.221179 + 1.11194i
\(276\) −0.206737 11.5603i −0.0124441 0.695848i
\(277\) −15.0737 + 10.0719i −0.905693 + 0.605164i −0.918789 0.394750i \(-0.870831\pi\)
0.0130961 + 0.999914i \(0.495831\pi\)
\(278\) −16.9172 1.93693i −1.01463 0.116170i
\(279\) 5.53855 + 10.3399i 0.331584 + 0.619034i
\(280\) 10.5167 + 22.1431i 0.628494 + 1.32330i
\(281\) 10.1039 24.3930i 0.602748 1.45516i −0.267994 0.963421i \(-0.586361\pi\)
0.870741 0.491741i \(-0.163639\pi\)
\(282\) 16.2451 + 7.99139i 0.967380 + 0.475880i
\(283\) −3.64050 0.724141i −0.216406 0.0430457i 0.0856967 0.996321i \(-0.472688\pi\)
−0.302102 + 0.953276i \(0.597688\pi\)
\(284\) 22.0762 + 5.12239i 1.30998 + 0.303958i
\(285\) −4.11750 + 6.87652i −0.243900 + 0.407330i
\(286\) 1.55446 + 18.8334i 0.0919172 + 1.11364i
\(287\) 5.09183i 0.300561i
\(288\) 1.99980 + 16.8523i 0.117839 + 0.993033i
\(289\) 7.30368i 0.429628i
\(290\) 14.7985 1.22143i 0.868997 0.0717249i
\(291\) −3.60586 + 6.02205i −0.211379 + 0.353019i
\(292\) 5.87374 3.66131i 0.343735 0.214262i
\(293\) −13.6935 2.72381i −0.799985 0.159127i −0.221864 0.975078i \(-0.571214\pi\)
−0.578121 + 0.815951i \(0.696214\pi\)
\(294\) −1.88958 + 3.84117i −0.110202 + 0.224022i
\(295\) 1.37941 3.33018i 0.0803121 0.193891i
\(296\) 8.26071 + 7.46280i 0.480144 + 0.433766i
\(297\) 9.00172 5.41166i 0.522333 0.314016i
\(298\) −1.95420 + 17.0680i −0.113204 + 0.988721i
\(299\) −18.3460 + 12.2584i −1.06098 + 0.708923i
\(300\) 22.3719 23.1867i 1.29164 1.33868i
\(301\) −3.03663 15.2662i −0.175029 0.879929i
\(302\) −1.18331 + 3.68963i −0.0680916 + 0.212314i
\(303\) 7.08742 + 6.41796i 0.407162 + 0.368702i
\(304\) 4.23358 2.45643i 0.242812 0.140886i
\(305\) 20.8551 20.8551i 1.19416 1.19416i
\(306\) 11.0931 7.17478i 0.634149 0.410155i
\(307\) −4.26715 21.4524i −0.243539 1.22435i −0.888046 0.459755i \(-0.847937\pi\)
0.644506 0.764599i \(-0.277063\pi\)
\(308\) −8.66769 + 3.27295i −0.493887 + 0.186494i
\(309\) 21.6170 16.0471i 1.22975 0.912887i
\(310\) −16.3722 + 13.0082i −0.929876 + 0.738819i
\(311\) −1.68904 4.07770i −0.0957766 0.231225i 0.868729 0.495288i \(-0.164937\pi\)
−0.964506 + 0.264063i \(0.914937\pi\)
\(312\) 24.9922 20.5968i 1.41490 1.16606i
\(313\) 3.98940 9.63127i 0.225494 0.544391i −0.770125 0.637893i \(-0.779806\pi\)
0.995619 + 0.0935019i \(0.0298061\pi\)
\(314\) 19.6276 5.61640i 1.10765 0.316952i
\(315\) −25.8777 2.52564i −1.45804 0.142304i
\(316\) −17.5966 12.5809i −0.989886 0.707730i
\(317\) 1.00260 1.50050i 0.0563119 0.0842767i −0.802245 0.596995i \(-0.796361\pi\)
0.858557 + 0.512718i \(0.171361\pi\)
\(318\) 20.8627 + 15.9760i 1.16992 + 0.895892i
\(319\) 5.61218i 0.314222i
\(320\) −28.9222 + 8.87562i −1.61680 + 0.496162i
\(321\) 18.5906 0.921533i 1.03763 0.0514350i
\(322\) −8.25267 6.99423i −0.459903 0.389773i
\(323\) −3.16817 2.11690i −0.176282 0.117788i
\(324\) −16.4166 7.38206i −0.912034 0.410114i
\(325\) −60.3054 11.9955i −3.34514 0.665390i
\(326\) −1.32876 4.64361i −0.0735932 0.257186i
\(327\) 6.01163 16.8248i 0.332444 0.930414i
\(328\) 6.21753 + 0.912019i 0.343306 + 0.0503578i
\(329\) 15.6494 6.48221i 0.862781 0.357376i
\(330\) 12.3594 + 14.0654i 0.680364 + 0.774273i
\(331\) 21.4745 14.3488i 1.18035 0.788683i 0.198825 0.980035i \(-0.436287\pi\)
0.981521 + 0.191352i \(0.0612873\pi\)
\(332\) −10.0755 + 3.80454i −0.552965 + 0.208801i
\(333\) −11.2963 + 3.43761i −0.619035 + 0.188380i
\(334\) 1.08223 + 2.10413i 0.0592169 + 0.115133i
\(335\) 17.8989 + 17.8989i 0.977923 + 0.977923i
\(336\) 13.0795 + 9.00230i 0.713544 + 0.491116i
\(337\) −12.1611 + 12.1611i −0.662457 + 0.662457i −0.955959 0.293502i \(-0.905179\pi\)
0.293502 + 0.955959i \(0.405179\pi\)
\(338\) −41.3442 13.2596i −2.24883 0.721225i
\(339\) 4.52540 1.13568i 0.245786 0.0616816i
\(340\) 16.1181 + 17.1720i 0.874127 + 0.931284i
\(341\) −4.39086 6.57139i −0.237778 0.355860i
\(342\) −0.0775597 + 5.19094i −0.00419395 + 0.280694i
\(343\) 7.67198 + 18.5218i 0.414248 + 1.00008i
\(344\) 19.1852 0.973582i 1.03439 0.0524920i
\(345\) −7.35605 + 20.5874i −0.396036 + 1.10839i
\(346\) −13.8831 7.70557i −0.746361 0.414254i
\(347\) 0.490474 2.46578i 0.0263300 0.132370i −0.965385 0.260831i \(-0.916004\pi\)
0.991715 + 0.128461i \(0.0410036\pi\)
\(348\) 7.90021 5.48559i 0.423496 0.294058i
\(349\) −13.0828 + 19.5797i −0.700304 + 1.04808i 0.295390 + 0.955377i \(0.404550\pi\)
−0.995694 + 0.0927021i \(0.970450\pi\)
\(350\) −2.47973 30.0437i −0.132547 1.60590i
\(351\) 5.08526 + 33.9717i 0.271431 + 1.81328i
\(352\) −2.44403 11.1702i −0.130267 0.595372i
\(353\) −1.54964 −0.0824790 −0.0412395 0.999149i \(-0.513131\pi\)
−0.0412395 + 0.999149i \(0.513131\pi\)
\(354\) −0.307017 2.31449i −0.0163178 0.123014i
\(355\) −35.6298 23.8070i −1.89103 1.26355i
\(356\) −10.3132 2.39300i −0.546600 0.126829i
\(357\) 1.80828 12.2277i 0.0957046 0.647158i
\(358\) 2.26861 + 1.25915i 0.119900 + 0.0665481i
\(359\) −9.71202 4.02285i −0.512581 0.212318i 0.111374 0.993779i \(-0.464475\pi\)
−0.623954 + 0.781461i \(0.714475\pi\)
\(360\) 7.71907 31.1463i 0.406831 1.64156i
\(361\) −16.1704 + 6.69798i −0.851072 + 0.352525i
\(362\) −2.32990 + 20.3494i −0.122457 + 1.06954i
\(363\) 9.61583 7.13818i 0.504700 0.374657i
\(364\) 0.958796 30.2858i 0.0502546 1.58740i
\(365\) −12.8358 + 2.55320i −0.671858 + 0.133641i
\(366\) 4.92631 18.4576i 0.257502 0.964793i
\(367\) 2.15576 + 2.15576i 0.112530 + 0.112530i 0.761130 0.648600i \(-0.224645\pi\)
−0.648600 + 0.761130i \(0.724645\pi\)
\(368\) 10.0187 8.82441i 0.522260 0.460004i
\(369\) −4.22384 + 5.15605i −0.219884 + 0.268413i
\(370\) −9.62781 18.7189i −0.500526 0.973152i
\(371\) 24.1131 4.79640i 1.25189 0.249017i
\(372\) −4.95867 + 12.6041i −0.257095 + 0.653494i
\(373\) 9.45937 + 14.1570i 0.489788 + 0.733019i 0.991227 0.132174i \(-0.0421957\pi\)
−0.501439 + 0.865193i \(0.667196\pi\)
\(374\) −6.96936 + 5.53740i −0.360377 + 0.286332i
\(375\) −25.4623 + 12.0565i −1.31487 + 0.622597i
\(376\) 5.11226 + 20.2703i 0.263645 + 1.04536i
\(377\) −16.9572 7.02392i −0.873343 0.361750i
\(378\) −15.3271 + 6.97909i −0.788342 + 0.358966i
\(379\) 2.04823 10.2971i 0.105210 0.528929i −0.891851 0.452328i \(-0.850593\pi\)
0.997062 0.0766002i \(-0.0244065\pi\)
\(380\) −9.12969 + 1.51742i −0.468343 + 0.0778421i
\(381\) 10.8796 18.1698i 0.557381 0.930866i
\(382\) 20.0894 + 17.0260i 1.02786 + 0.871125i
\(383\) −26.6566 −1.36209 −0.681045 0.732242i \(-0.738474\pi\)
−0.681045 + 0.732242i \(0.738474\pi\)
\(384\) −13.3353 + 14.3587i −0.680512 + 0.732737i
\(385\) 17.5187 0.892836
\(386\) −9.02232 7.64651i −0.459224 0.389197i
\(387\) −9.58888 + 17.9777i −0.487430 + 0.913859i
\(388\) −7.99524 + 1.32887i −0.405897 + 0.0674631i
\(389\) 0.609624 3.06479i 0.0309091 0.155391i −0.962248 0.272173i \(-0.912258\pi\)
0.993158 + 0.116782i \(0.0372578\pi\)
\(390\) −57.9671 + 19.7406i −2.93528 + 0.999603i
\(391\) −9.60211 3.97732i −0.485600 0.201142i
\(392\) −4.79294 + 1.20880i −0.242080 + 0.0610538i
\(393\) 13.0641 + 27.5902i 0.658998 + 1.39174i
\(394\) 16.1225 12.8099i 0.812238 0.645351i
\(395\) 22.7237 + 34.0084i 1.14335 + 1.71115i
\(396\) 11.4920 + 3.87590i 0.577496 + 0.194772i
\(397\) 13.0490 2.59560i 0.654910 0.130270i 0.143559 0.989642i \(-0.454145\pi\)
0.511351 + 0.859372i \(0.329145\pi\)
\(398\) −3.08678 6.00150i −0.154726 0.300828i
\(399\) 3.60048 + 3.26039i 0.180249 + 0.163224i
\(400\) 37.1299 + 2.35330i 1.85649 + 0.117665i
\(401\) −2.74635 2.74635i −0.137146 0.137146i 0.635201 0.772347i \(-0.280917\pi\)
−0.772347 + 0.635201i \(0.780917\pi\)
\(402\) 15.8413 + 4.22802i 0.790092 + 0.210874i
\(403\) 25.3509 5.04260i 1.26282 0.251190i
\(404\) −0.349353 + 11.0351i −0.0173810 + 0.549017i
\(405\) 24.1090 + 24.0239i 1.19798 + 1.19376i
\(406\) 1.02363 8.94040i 0.0508020 0.443705i
\(407\) 7.35026 3.04458i 0.364339 0.150914i
\(408\) 14.6071 + 4.39821i 0.723159 + 0.217744i
\(409\) −7.96420 3.29888i −0.393804 0.163119i 0.176989 0.984213i \(-0.443364\pi\)
−0.570793 + 0.821094i \(0.693364\pi\)
\(410\) −10.3892 5.76632i −0.513085 0.284778i
\(411\) −27.7088 4.09770i −1.36677 0.202125i
\(412\) 30.2826 + 7.02652i 1.49192 + 0.346172i
\(413\) −1.81632 1.21362i −0.0893752 0.0597186i
\(414\) 2.55481 + 13.9283i 0.125562 + 0.684539i
\(415\) 20.3641 0.999635
\(416\) 36.8096 + 6.59538i 1.80474 + 0.323365i
\(417\) 20.8290 1.03249i 1.02000 0.0505612i
\(418\) −0.287733 3.48609i −0.0140735 0.170510i
\(419\) 2.44878 3.66486i 0.119631 0.179040i −0.766821 0.641861i \(-0.778163\pi\)
0.886452 + 0.462821i \(0.153163\pi\)
\(420\) −17.1235 24.6609i −0.835543 1.20333i
\(421\) −7.85512 + 39.4903i −0.382835 + 1.92464i −0.00200165 + 0.999998i \(0.500637\pi\)
−0.380833 + 0.924644i \(0.624363\pi\)
\(422\) 31.9112 + 17.7117i 1.55341 + 0.862194i
\(423\) −21.2240 6.41776i −1.03195 0.312042i
\(424\) 1.53778 + 30.3032i 0.0746814 + 1.47165i
\(425\) −11.0835 26.7580i −0.537629 1.29795i
\(426\) −27.6984 1.78818i −1.34199 0.0866375i
\(427\) −9.93021 14.8616i −0.480557 0.719204i
\(428\) 14.7093 + 15.6711i 0.711002 + 0.757492i
\(429\) −5.63358 22.4484i −0.271992 1.08382i
\(430\) −34.5875 11.0926i −1.66796 0.534933i
\(431\) −16.0961 + 16.0961i −0.775322 + 0.775322i −0.979031 0.203709i \(-0.934700\pi\)
0.203709 + 0.979031i \(0.434700\pi\)
\(432\) −5.77673 19.9657i −0.277933 0.960600i
\(433\) 9.20366 + 9.20366i 0.442300 + 0.442300i 0.892784 0.450484i \(-0.148749\pi\)
−0.450484 + 0.892784i \(0.648749\pi\)
\(434\) 5.79621 + 11.2693i 0.278227 + 0.540945i
\(435\) −17.6390 + 4.42663i −0.845727 + 0.212241i
\(436\) 19.3004 7.28790i 0.924321 0.349027i
\(437\) 3.39588 2.26906i 0.162447 0.108544i
\(438\) −6.36784 + 5.59550i −0.304267 + 0.267363i
\(439\) −24.8403 + 10.2892i −1.18556 + 0.491077i −0.886308 0.463096i \(-0.846739\pi\)
−0.299256 + 0.954173i \(0.596739\pi\)
\(440\) −3.13785 + 21.3918i −0.149591 + 1.01981i
\(441\) 1.51749 5.01846i 0.0722615 0.238974i
\(442\) −8.00880 27.9883i −0.380940 1.33127i
\(443\) 32.4184 + 6.44841i 1.54024 + 0.306373i 0.890927 0.454146i \(-0.150055\pi\)
0.649316 + 0.760519i \(0.275055\pi\)
\(444\) −11.4703 7.37100i −0.544356 0.349812i
\(445\) 16.6450 + 11.1218i 0.789046 + 0.527224i
\(446\) 9.45376 + 8.01217i 0.447649 + 0.379387i
\(447\) −1.04169 21.0147i −0.0492703 0.993960i
\(448\) 1.85604 + 18.2403i 0.0876898 + 0.861771i
\(449\) 23.5262i 1.11027i 0.831760 + 0.555135i \(0.187333\pi\)
−0.831760 + 0.555135i \(0.812667\pi\)
\(450\) −22.4112 + 32.4796i −1.05647 + 1.53110i
\(451\) 2.49502 3.73406i 0.117486 0.175830i
\(452\) 4.38261 + 3.13339i 0.206140 + 0.147382i
\(453\) 0.694245 4.69451i 0.0326185 0.220567i
\(454\) −11.1337 + 3.18589i −0.522532 + 0.149521i
\(455\) −21.9255 + 52.9329i −1.02789 + 2.48153i
\(456\) −4.62609 + 3.81249i −0.216637 + 0.178536i
\(457\) −14.5342 35.0886i −0.679881 1.64138i −0.764232 0.644941i \(-0.776882\pi\)
0.0843513 0.996436i \(-0.473118\pi\)
\(458\) −11.9200 + 9.47089i −0.556987 + 0.442545i
\(459\) −11.9744 + 10.8819i −0.558915 + 0.507922i
\(460\) −23.6167 + 8.91774i −1.10113 + 0.415792i
\(461\) −5.57077 28.0062i −0.259457 1.30438i −0.862251 0.506481i \(-0.830946\pi\)
0.602795 0.797896i \(-0.294054\pi\)
\(462\) 9.82149 5.68329i 0.456937 0.264410i
\(463\) −17.0250 + 17.0250i −0.791220 + 0.791220i −0.981693 0.190472i \(-0.938998\pi\)
0.190472 + 0.981693i \(0.438998\pi\)
\(464\) 10.7336 + 2.85129i 0.498295 + 0.132368i
\(465\) 17.1905 18.9837i 0.797191 0.880346i
\(466\) 5.92861 18.4858i 0.274638 0.856339i
\(467\) −2.89864 14.5725i −0.134133 0.674333i −0.988076 0.153966i \(-0.950795\pi\)
0.853943 0.520367i \(-0.174205\pi\)
\(468\) −26.0939 + 29.8724i −1.20619 + 1.38085i
\(469\) 12.7550 8.52264i 0.588973 0.393539i
\(470\) 4.49639 39.2714i 0.207403 1.81146i
\(471\) −22.5983 + 10.7004i −1.04127 + 0.493049i
\(472\) 1.80726 2.00049i 0.0831860 0.0920802i
\(473\) 5.25361 12.6833i 0.241561 0.583181i
\(474\) 23.7723 + 11.6942i 1.09190 + 0.537135i
\(475\) 11.1626 + 2.22039i 0.512177 + 0.101878i
\(476\) 12.1124 7.55010i 0.555172 0.346058i
\(477\) −28.3960 15.1458i −1.30017 0.693476i
\(478\) −28.7694 + 2.37455i −1.31588 + 0.108610i
\(479\) 42.7458i 1.95310i −0.215283 0.976552i \(-0.569068\pi\)
0.215283 0.976552i \(-0.430932\pi\)
\(480\) 33.1801 16.4921i 1.51446 0.752758i
\(481\) 26.0193i 1.18638i
\(482\) 0.251907 + 3.05203i 0.0114740 + 0.139016i
\(483\) 11.3671 + 6.80638i 0.517223 + 0.309701i
\(484\) 13.4705 + 3.12559i 0.612296 + 0.142072i
\(485\) 15.0306 + 2.98978i 0.682506 + 0.135759i
\(486\) 21.3098 + 5.64724i 0.966633 + 0.256164i
\(487\) 6.96394 16.8124i 0.315566 0.761845i −0.683912 0.729564i \(-0.739723\pi\)
0.999479 0.0322807i \(-0.0102770\pi\)
\(488\) 19.9259 9.46366i 0.902002 0.428400i
\(489\) 2.53156 + 5.34643i 0.114481 + 0.241774i
\(490\) 9.28580 + 1.06318i 0.419490 + 0.0480295i
\(491\) −13.0521 + 8.72115i −0.589034 + 0.393580i −0.814067 0.580771i \(-0.802751\pi\)
0.225033 + 0.974351i \(0.427751\pi\)
\(492\) −7.69514 + 0.137615i −0.346924 + 0.00620417i
\(493\) −1.68667 8.47948i −0.0759640 0.381897i
\(494\) 10.8934 + 3.49363i 0.490116 + 0.157186i
\(495\) −17.7397 14.5324i −0.797339 0.653181i
\(496\) −14.7989 + 5.05914i −0.664492 + 0.227162i
\(497\) −18.3631 + 18.3631i −0.823695 + 0.823695i
\(498\) 11.4167 6.60637i 0.511595 0.296039i
\(499\) 7.74979 + 38.9608i 0.346928 + 1.74413i 0.622292 + 0.782785i \(0.286202\pi\)
−0.275364 + 0.961340i \(0.588798\pi\)
\(500\) −29.6455 13.3937i −1.32579 0.598987i
\(501\) −1.72731 2.32686i −0.0771706 0.103956i
\(502\) 11.6741 + 14.6930i 0.521039 + 0.655778i
\(503\) 0.559861 + 1.35162i 0.0249630 + 0.0602659i 0.935869 0.352347i \(-0.114616\pi\)
−0.910907 + 0.412613i \(0.864616\pi\)
\(504\) −17.6003 8.27054i −0.783978 0.368399i
\(505\) 7.98893 19.2870i 0.355503 0.858260i
\(506\) −2.62484 9.17303i −0.116688 0.407791i
\(507\) 52.6044 + 7.77937i 2.33624 + 0.345494i
\(508\) 24.1233 4.00947i 1.07030 0.177892i
\(509\) 0.977492 1.46292i 0.0433266 0.0648428i −0.809174 0.587569i \(-0.800085\pi\)
0.852501 + 0.522726i \(0.175085\pi\)
\(510\) −22.9011 17.5370i −1.01408 0.776552i
\(511\) 7.93127i 0.350859i
\(512\) −22.6053 1.00071i −0.999022 0.0442257i
\(513\) −0.941290 6.28823i −0.0415590 0.277632i
\(514\) 14.4870 17.0935i 0.638992 0.753963i
\(515\) −48.8744 32.6568i −2.15366 1.43903i
\(516\) −22.9893 + 5.00178i −1.01205 + 0.220191i
\(517\) 14.6527 + 2.91461i 0.644426 + 0.128184i
\(518\) −12.2645 + 3.50947i −0.538873 + 0.154197i
\(519\) 18.3128 + 6.54332i 0.803845 + 0.287220i
\(520\) −60.7082 36.2539i −2.66223 1.58984i
\(521\) −1.71027 + 0.708417i −0.0749283 + 0.0310363i −0.419833 0.907601i \(-0.637911\pi\)
0.344905 + 0.938638i \(0.387911\pi\)
\(522\) −8.45290 + 8.20402i −0.369973 + 0.359080i
\(523\) 25.2285 16.8571i 1.10316 0.737111i 0.135859 0.990728i \(-0.456620\pi\)
0.967305 + 0.253617i \(0.0816204\pi\)
\(524\) −14.5131 + 32.1231i −0.634008 + 1.40330i
\(525\) 8.98688 + 35.8105i 0.392220 + 1.56290i
\(526\) 18.5080 9.51933i 0.806988 0.415062i
\(527\) 8.60914 + 8.60914i 0.375020 + 0.375020i
\(528\) 5.18058 + 13.0108i 0.225456 + 0.566222i
\(529\) −8.38609 + 8.38609i −0.364613 + 0.364613i
\(530\) 17.5209 54.6314i 0.761060 2.37304i
\(531\) 0.832484 + 2.73563i 0.0361267 + 0.118716i
\(532\) −0.177475 + 5.60594i −0.00769451 + 0.243049i
\(533\) 8.15986 + 12.2121i 0.353443 + 0.528964i
\(534\) 12.9397 + 0.835372i 0.559955 + 0.0361501i
\(535\) −15.5522 37.5463i −0.672379 1.62327i
\(536\) 8.12222 + 17.1015i 0.350827 + 0.738670i
\(537\) −2.99246 1.06923i −0.129134 0.0461406i
\(538\) −4.19178 + 7.55234i −0.180721 + 0.325604i
\(539\) −0.689165 + 3.46466i −0.0296844 + 0.149234i
\(540\) −3.11755 + 39.1765i −0.134158 + 1.68589i
\(541\) 14.9437 22.3648i 0.642480 0.961540i −0.357142 0.934050i \(-0.616249\pi\)
0.999622 0.0274895i \(-0.00875130\pi\)
\(542\) 7.08988 0.585181i 0.304536 0.0251357i
\(543\) −1.24196 25.0548i −0.0532977 1.07521i
\(544\) 7.04977 + 16.1426i 0.302256 + 0.692107i
\(545\) −39.0090 −1.67096
\(546\) 4.88002 + 36.7886i 0.208845 + 1.57441i
\(547\) 35.1482 + 23.4853i 1.50283 + 1.00416i 0.989269 + 0.146103i \(0.0466731\pi\)
0.513559 + 0.858054i \(0.328327\pi\)
\(548\) −17.1091 27.4476i −0.730863 1.17250i
\(549\) −2.27275 + 23.2865i −0.0969984 + 0.993844i
\(550\) 12.9030 23.2474i 0.550188 0.991274i
\(551\) 3.13882 + 1.30014i 0.133718 + 0.0553878i
\(552\) −10.3472 + 12.6611i −0.440404 + 0.538891i
\(553\) 22.9007 9.48578i 0.973837 0.403376i
\(554\) 25.4719 + 2.91641i 1.08220 + 0.123906i
\(555\) 15.3666 + 20.7004i 0.652278 + 0.878683i
\(556\) 16.4804 + 17.5580i 0.698924 + 0.744624i
\(557\) 10.5524 2.09899i 0.447118 0.0889372i 0.0336041 0.999435i \(-0.489301\pi\)
0.413513 + 0.910498i \(0.364301\pi\)
\(558\) 3.47896 16.2196i 0.147276 0.686631i
\(559\) 31.7477 + 31.7477i 1.34278 + 1.34278i
\(560\) 8.90045 33.5055i 0.376113 1.41587i
\(561\) 7.31772 8.08103i 0.308954 0.341181i
\(562\) −33.2046 + 17.0783i −1.40065 + 0.720404i
\(563\) 45.5335 9.05718i 1.91901 0.381715i 0.919086 0.394057i \(-0.128929\pi\)
0.999924 + 0.0123428i \(0.00392892\pi\)
\(564\) −10.2193 23.4754i −0.430312 0.988492i
\(565\) −5.65956 8.47013i −0.238099 0.356341i
\(566\) 3.26551 + 4.10996i 0.137259 + 0.172755i
\(567\) 17.1298 11.4896i 0.719385 0.482519i
\(568\) −19.1337 25.7119i −0.802831 1.07885i
\(569\) 6.46341 + 2.67723i 0.270960 + 0.112235i 0.514027 0.857774i \(-0.328153\pi\)
−0.243066 + 0.970010i \(0.578153\pi\)
\(570\) 10.7298 3.65401i 0.449422 0.153050i
\(571\) 6.40182 32.1841i 0.267908 1.34686i −0.579089 0.815265i \(-0.696591\pi\)
0.846996 0.531599i \(-0.178409\pi\)
\(572\) 15.5433 21.7401i 0.649898 0.908998i
\(573\) −27.6709 16.5687i −1.15597 0.692168i
\(574\) −4.65573 + 5.49341i −0.194326 + 0.229291i
\(575\) 31.0443 1.29464
\(576\) 13.2515 20.0100i 0.552144 0.833749i
\(577\) −29.9503 −1.24685 −0.623423 0.781885i \(-0.714258\pi\)
−0.623423 + 0.781885i \(0.714258\pi\)
\(578\) −6.67815 + 7.87972i −0.277774 + 0.327753i
\(579\) 12.4272 + 7.44114i 0.516459 + 0.309243i
\(580\) −17.0825 12.2133i −0.709310 0.507129i
\(581\) 2.40766 12.1041i 0.0998864 0.502163i
\(582\) 9.39653 3.19997i 0.389499 0.132643i
\(583\) 20.0335 + 8.29814i 0.829702 + 0.343674i
\(584\) −9.68472 1.42060i −0.400757 0.0587850i
\(585\) 66.1117 35.4126i 2.73338 1.46413i
\(586\) 12.2830 + 15.4594i 0.507406 + 0.638621i
\(587\) −8.63025 12.9161i −0.356209 0.533104i 0.609482 0.792800i \(-0.291378\pi\)
−0.965690 + 0.259696i \(0.916378\pi\)
\(588\) 5.55080 2.41638i 0.228911 0.0996499i
\(589\) −4.69249 + 0.933395i −0.193351 + 0.0384599i
\(590\) −4.53316 + 2.33156i −0.186627 + 0.0959889i
\(591\) −16.9283 + 18.6941i −0.696339 + 0.768974i
\(592\) −2.08859 15.6046i −0.0858407 0.641345i
\(593\) 16.3306 + 16.3306i 0.670617 + 0.670617i 0.957858 0.287241i \(-0.0927380\pi\)
−0.287241 + 0.957858i \(0.592738\pi\)
\(594\) −14.6598 2.39229i −0.601501 0.0981567i
\(595\) −26.4692 + 5.26504i −1.08513 + 0.215846i
\(596\) 17.7145 16.6273i 0.725613 0.681080i
\(597\) 4.92671 + 6.63678i 0.201637 + 0.271625i
\(598\) 31.0015 + 3.54952i 1.26775 + 0.145151i
\(599\) −23.4993 + 9.73373i −0.960155 + 0.397709i −0.807038 0.590499i \(-0.798931\pi\)
−0.153117 + 0.988208i \(0.548931\pi\)
\(600\) −45.3372 + 4.55953i −1.85088 + 0.186142i
\(601\) −23.2857 9.64525i −0.949844 0.393438i −0.146672 0.989185i \(-0.546856\pi\)
−0.803172 + 0.595747i \(0.796856\pi\)
\(602\) −10.6826 + 19.2468i −0.435389 + 0.784440i
\(603\) −19.9857 1.95059i −0.813882 0.0794343i
\(604\) 4.65026 2.89867i 0.189216 0.117945i
\(605\) −21.7406 14.5266i −0.883882 0.590591i
\(606\) −1.77811 13.4045i −0.0722309 0.544523i
\(607\) −6.82575 −0.277049 −0.138524 0.990359i \(-0.544236\pi\)
−0.138524 + 0.990359i \(0.544236\pi\)
\(608\) −6.81352 1.22082i −0.276325 0.0495106i
\(609\) 0.545650 + 11.0077i 0.0221109 + 0.446056i
\(610\) −41.5688 + 3.43098i −1.68307 + 0.138916i
\(611\) −27.1452 + 40.6256i −1.09818 + 1.64354i
\(612\) −18.5283 2.40234i −0.748960 0.0971088i
\(613\) 5.57828 28.0439i 0.225305 1.13268i −0.688096 0.725620i \(-0.741553\pi\)
0.913400 0.407062i \(-0.133447\pi\)
\(614\) −15.0114 + 27.0460i −0.605811 + 1.09149i
\(615\) 13.7041 + 4.89657i 0.552602 + 0.197449i
\(616\) 12.3439 + 4.39424i 0.497351 + 0.177049i
\(617\) −0.107691 0.259989i −0.00433547 0.0104667i 0.921697 0.387911i \(-0.126803\pi\)
−0.926032 + 0.377444i \(0.876803\pi\)
\(618\) −37.9947 2.45289i −1.52837 0.0986698i
\(619\) −16.5250 24.7314i −0.664195 0.994038i −0.998666 0.0516321i \(-0.983558\pi\)
0.334471 0.942406i \(-0.391442\pi\)
\(620\) 29.5575 + 0.935742i 1.18706 + 0.0375803i
\(621\) −5.86439 16.3217i −0.235330 0.654965i
\(622\) −1.90621 + 5.94368i −0.0764320 + 0.238320i
\(623\) 8.57856 8.57856i 0.343693 0.343693i
\(624\) −45.7960 0.630481i −1.83331 0.0252394i
\(625\) 10.6101 + 10.6101i 0.424404 + 0.424404i
\(626\) −13.1104 + 6.74315i −0.523998 + 0.269511i
\(627\) 1.04278 + 4.15524i 0.0416448 + 0.165944i
\(628\) −26.3110 11.8872i −1.04992 0.474352i
\(629\) −10.1906 + 6.80911i −0.406324 + 0.271497i
\(630\) 25.6093 + 26.3862i 1.02030 + 1.05125i
\(631\) 23.8880 9.89474i 0.950967 0.393904i 0.147373 0.989081i \(-0.452918\pi\)
0.803594 + 0.595177i \(0.202918\pi\)
\(632\) 7.48106 + 29.6626i 0.297581 + 1.17992i
\(633\) −42.0932 15.0402i −1.67306 0.597795i
\(634\) −2.45367 + 0.702112i −0.0974476 + 0.0278844i
\(635\) −45.3506 9.02080i −1.79968 0.357979i
\(636\) −7.90037 36.3119i −0.313270 1.43986i
\(637\) −9.60599 6.41852i −0.380603 0.254311i
\(638\) 5.13151 6.05480i 0.203159 0.239712i
\(639\) 33.8274 3.36189i 1.33819 0.132994i
\(640\) 39.3187 + 16.8695i 1.55421 + 0.666825i
\(641\) 33.6560i 1.32933i −0.747141 0.664666i \(-0.768574\pi\)
0.747141 0.664666i \(-0.231426\pi\)
\(642\) −20.8995 16.0042i −0.824836 0.631635i
\(643\) 10.9875 16.4440i 0.433306 0.648488i −0.548989 0.835830i \(-0.684987\pi\)
0.982295 + 0.187342i \(0.0599871\pi\)
\(644\) 2.50835 + 15.0917i 0.0988430 + 0.594697i
\(645\) 44.0075 + 6.50802i 1.73279 + 0.256253i
\(646\) 1.48244 + 5.18068i 0.0583259 + 0.203831i
\(647\) 9.18900 22.1842i 0.361257 0.872152i −0.633860 0.773448i \(-0.718530\pi\)
0.995117 0.0987037i \(-0.0314696\pi\)
\(648\) 10.9616 + 22.9749i 0.430611 + 0.902538i
\(649\) −0.737304 1.78001i −0.0289417 0.0698715i
\(650\) 54.0935 + 68.0820i 2.12172 + 2.67040i
\(651\) −9.25114 12.4622i −0.362581 0.488433i
\(652\) −2.81234 + 6.22480i −0.110140 + 0.243782i
\(653\) 8.51594 + 42.8125i 0.333254 + 1.67538i 0.676738 + 0.736224i \(0.263393\pi\)
−0.343483 + 0.939159i \(0.611607\pi\)
\(654\) −21.8696 + 12.6550i −0.855169 + 0.494850i
\(655\) 47.1294 47.1294i 1.84150 1.84150i
\(656\) −5.87399 6.66897i −0.229341 0.260379i
\(657\) 6.57926 8.03131i 0.256681 0.313331i
\(658\) −22.8107 7.31566i −0.889254 0.285194i
\(659\) −9.06999 45.5979i −0.353317 1.77624i −0.592807 0.805345i \(-0.701980\pi\)
0.239490 0.970899i \(-0.423020\pi\)
\(660\) −0.473472 26.4756i −0.0184299 1.03056i
\(661\) −8.73639 + 5.83747i −0.339806 + 0.227051i −0.713751 0.700400i \(-0.753005\pi\)
0.373944 + 0.927451i \(0.378005\pi\)
\(662\) −36.2881 4.15481i −1.41038 0.161481i
\(663\) 15.2584 + 32.2244i 0.592588 + 1.25149i
\(664\) 14.3488 + 5.10796i 0.556843 + 0.198227i
\(665\) 4.05845 9.79798i 0.157380 0.379949i
\(666\) 15.3305 + 6.62011i 0.594043 + 0.256524i
\(667\) 9.08895 + 1.80791i 0.351926 + 0.0700024i
\(668\) 0.756336 3.25962i 0.0292635 0.126119i
\(669\) −13.0215 7.79698i −0.503441 0.301448i
\(670\) −2.94465 35.6765i −0.113762 1.37830i
\(671\) 15.7645i 0.608583i
\(672\) −5.87975 21.6716i −0.226816 0.835999i
\(673\) 8.71399i 0.335900i −0.985796 0.167950i \(-0.946285\pi\)
0.985796 0.167950i \(-0.0537147\pi\)
\(674\) 24.2397 2.00069i 0.933680 0.0770637i
\(675\) 20.6058 43.7171i 0.793117 1.68267i
\(676\) 32.4811 + 52.1085i 1.24927 + 2.00417i
\(677\) 30.8028 + 6.12706i 1.18385 + 0.235482i 0.747479 0.664286i \(-0.231264\pi\)
0.436369 + 0.899768i \(0.356264\pi\)
\(678\) −5.92073 2.91257i −0.227384 0.111856i
\(679\) 3.55416 8.58049i 0.136396 0.329289i
\(680\) −1.68804 33.2640i −0.0647333 1.27562i
\(681\) 12.8188 6.06979i 0.491219 0.232595i
\(682\) −1.27141 + 11.1045i −0.0486846 + 0.425212i
\(683\) −5.28552 + 3.53167i −0.202245 + 0.135136i −0.652569 0.757730i \(-0.726309\pi\)
0.450324 + 0.892865i \(0.351309\pi\)
\(684\) 4.83003 5.52943i 0.184681 0.211423i
\(685\) 11.9310 + 59.9810i 0.455859 + 2.29176i
\(686\) 8.65841 26.9975i 0.330580 1.03077i
\(687\) 12.5159 13.8214i 0.477510 0.527319i
\(688\) −21.5885 16.4916i −0.823053 0.628738i
\(689\) −50.1458 + 50.1458i −1.91040 + 1.91040i
\(690\) 26.7604 15.4851i 1.01875 0.589509i
\(691\) 6.92036 + 34.7910i 0.263263 + 1.32351i 0.855523 + 0.517765i \(0.173236\pi\)
−0.592260 + 0.805747i \(0.701764\pi\)
\(692\) 7.93246 + 21.0074i 0.301547 + 0.798581i
\(693\) −10.7352 + 8.82601i −0.407795 + 0.335272i
\(694\) −2.78375 + 2.21179i −0.105670 + 0.0839583i
\(695\) −17.4247 42.0670i −0.660957 1.59569i
\(696\) −13.5391 1.30536i −0.513197 0.0494795i
\(697\) −2.64752 + 6.39167i −0.100282 + 0.242102i
\(698\) 32.0174 9.16170i 1.21188 0.346775i
\(699\) −3.47831 + 23.5205i −0.131562 + 0.889626i
\(700\) −24.7952 + 34.6805i −0.937171 + 1.31080i
\(701\) −15.3203 + 22.9284i −0.578639 + 0.865994i −0.999147 0.0412948i \(-0.986852\pi\)
0.420508 + 0.907289i \(0.361852\pi\)
\(702\) 25.5758 41.3008i 0.965298 1.55880i
\(703\) 4.81622i 0.181647i
\(704\) −7.57670 + 14.2859i −0.285558 + 0.538419i
\(705\) 2.39681 + 48.3524i 0.0902693 + 1.82106i
\(706\) 1.67186 + 1.41692i 0.0629212 + 0.0533264i
\(707\) −10.5193 7.02880i −0.395621 0.264345i
\(708\) −1.78503 + 2.77775i −0.0670856 + 0.104394i
\(709\) 14.0908 + 2.80283i 0.529191 + 0.105263i 0.452452 0.891789i \(-0.350549\pi\)
0.0767385 + 0.997051i \(0.475549\pi\)
\(710\) 16.6718 + 58.2629i 0.625681 + 2.18657i
\(711\) −31.0583 9.39147i −1.16478 0.352208i
\(712\) 8.93857 + 12.0117i 0.334987 + 0.450156i
\(713\) −12.0569 + 4.99412i −0.451533 + 0.187031i
\(714\) −13.1313 + 11.5387i −0.491427 + 0.431823i
\(715\) −42.0164 + 28.0744i −1.57132 + 1.04992i
\(716\) −1.29622 3.43277i −0.0484422 0.128289i
\(717\) 34.2916 8.60571i 1.28064 0.321386i
\(718\) 6.79969 + 13.2203i 0.253762 + 0.493379i
\(719\) 21.0905 + 21.0905i 0.786545 + 0.786545i 0.980926 0.194381i \(-0.0622699\pi\)
−0.194381 + 0.980926i \(0.562270\pi\)
\(720\) −36.8066 + 26.5449i −1.37170 + 0.989269i
\(721\) −25.1891 + 25.1891i −0.938092 + 0.938092i
\(722\) 23.5700 + 7.55918i 0.877185 + 0.281323i
\(723\) −0.912945 3.63786i −0.0339528 0.135293i
\(724\) 21.1202 19.8239i 0.784925 0.736751i
\(725\) 14.3471 + 21.4720i 0.532839 + 0.797450i
\(726\) −16.9010 1.09111i −0.627256 0.0404950i
\(727\) −13.2354 31.9530i −0.490872 1.18507i −0.954277 0.298923i \(-0.903372\pi\)
0.463405 0.886147i \(-0.346628\pi\)
\(728\) −28.7263 + 31.7977i −1.06467 + 1.17850i
\(729\) −26.8769 2.57522i −0.995441 0.0953786i
\(730\) 16.1827 + 8.98190i 0.598949 + 0.332435i
\(731\) −4.12589 + 20.7423i −0.152602 + 0.767180i
\(732\) −22.1916 + 15.4089i −0.820225 + 0.569531i
\(733\) 6.99739 10.4723i 0.258455 0.386805i −0.679437 0.733734i \(-0.737776\pi\)
0.937891 + 0.346930i \(0.112776\pi\)
\(734\) −0.354656 4.29690i −0.0130906 0.158602i
\(735\) −11.4330 + 0.566731i −0.421713 + 0.0209042i
\(736\) −18.8775 + 0.359762i −0.695833 + 0.0132610i
\(737\) 13.5300 0.498383
\(738\) 9.27142 1.70062i 0.341286 0.0626006i
\(739\) −2.40827 1.60916i −0.0885897 0.0591938i 0.510486 0.859886i \(-0.329465\pi\)
−0.599076 + 0.800692i \(0.704465\pi\)
\(740\) −6.72858 + 28.9985i −0.247347 + 1.06601i
\(741\) −13.8602 2.04971i −0.509167 0.0752979i
\(742\) −30.4005 16.8732i −1.11604 0.619436i
\(743\) 12.8420 + 5.31933i 0.471127 + 0.195147i 0.605599 0.795770i \(-0.292934\pi\)
−0.134472 + 0.990917i \(0.542934\pi\)
\(744\) 16.8744 9.06423i 0.618645 0.332311i
\(745\) −42.4419 + 17.5800i −1.55495 + 0.644082i
\(746\) 2.73903 23.9227i 0.100283 0.875872i
\(747\) −12.4788 + 10.2595i −0.456575 + 0.375377i
\(748\) 12.5822 + 0.398330i 0.460049 + 0.0145644i
\(749\) −24.1556 + 4.80485i −0.882628 + 0.175566i
\(750\) 38.4944 + 10.2741i 1.40562 + 0.375157i
\(751\) −23.2761 23.2761i −0.849357 0.849357i 0.140696 0.990053i \(-0.455066\pi\)
−0.990053 + 0.140696i \(0.955066\pi\)
\(752\) 13.0187 26.5434i 0.474744 0.967938i
\(753\) −17.0366 15.4274i −0.620848 0.562205i
\(754\) 11.8723 + 23.0828i 0.432364 + 0.840626i
\(755\) −10.1622 + 2.02138i −0.369839 + 0.0735655i
\(756\) 22.9173 + 6.48488i 0.833494 + 0.235853i
\(757\) 16.0279 + 23.9875i 0.582545 + 0.871840i 0.999309 0.0371749i \(-0.0118359\pi\)
−0.416764 + 0.909015i \(0.636836\pi\)
\(758\) −11.6250 + 9.23646i −0.422239 + 0.335483i
\(759\) 5.00087 + 10.5614i 0.181520 + 0.383354i
\(760\) 11.2372 + 6.71066i 0.407616 + 0.243421i
\(761\) 20.1599 + 8.35050i 0.730796 + 0.302706i 0.716879 0.697198i \(-0.245570\pi\)
0.0139168 + 0.999903i \(0.495570\pi\)
\(762\) −28.3513 + 9.65498i −1.02706 + 0.349763i
\(763\) −4.61205 + 23.1863i −0.166967 + 0.839402i
\(764\) −6.10607 36.7376i −0.220910 1.32912i
\(765\) 31.1705 + 16.6256i 1.12697 + 0.601100i
\(766\) 28.7590 + 24.3736i 1.03910 + 0.880652i
\(767\) 6.30109 0.227519
\(768\) 27.5159 3.29796i 0.992894 0.119005i
\(769\) 2.83222 0.102132 0.0510662 0.998695i \(-0.483738\pi\)
0.0510662 + 0.998695i \(0.483738\pi\)
\(770\) −18.9004 16.0183i −0.681123 0.577259i
\(771\) −14.0979 + 23.5444i −0.507722 + 0.847932i
\(772\) 2.74228 + 16.4992i 0.0986970 + 0.593818i
\(773\) −1.30315 + 6.55138i −0.0468711 + 0.235637i −0.997119