Properties

Label 225.2.q.a.106.13
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.13
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.511634 - 0.108751i) q^{2} +(1.18489 + 1.26334i) q^{3} +(-1.57715 - 0.702192i) q^{4} +(1.99861 + 1.00277i) q^{5} +(-0.468843 - 0.775225i) q^{6} +(-1.68864 + 2.92481i) q^{7} +(1.57689 + 1.14568i) q^{8} +(-0.192048 + 2.99385i) q^{9} +O(q^{10})\) \(q+(-0.511634 - 0.108751i) q^{2} +(1.18489 + 1.26334i) q^{3} +(-1.57715 - 0.702192i) q^{4} +(1.99861 + 1.00277i) q^{5} +(-0.468843 - 0.775225i) q^{6} +(-1.68864 + 2.92481i) q^{7} +(1.57689 + 1.14568i) q^{8} +(-0.192048 + 2.99385i) q^{9} +(-0.913505 - 0.730402i) q^{10} +(-4.04299 - 0.859364i) q^{11} +(-0.981649 - 2.82450i) q^{12} +(4.96974 - 1.05635i) q^{13} +(1.18204 - 1.31279i) q^{14} +(1.10131 + 3.71310i) q^{15} +(1.62818 + 1.80828i) q^{16} +(0.0810977 + 0.0589209i) q^{17} +(0.423842 - 1.51087i) q^{18} +(2.55513 + 1.85641i) q^{19} +(-2.44797 - 2.98493i) q^{20} +(-5.69589 + 1.33227i) q^{21} +(1.97507 + 0.879359i) q^{22} +(-1.31885 + 1.46473i) q^{23} +(0.421071 + 3.34966i) q^{24} +(2.98891 + 4.00830i) q^{25} -2.65757 q^{26} +(-4.00980 + 3.30477i) q^{27} +(4.71702 - 3.42711i) q^{28} +(-0.709179 - 6.74738i) q^{29} +(-0.159663 - 2.01952i) q^{30} +(-0.254537 + 2.42176i) q^{31} +(-2.58553 - 4.47827i) q^{32} +(-3.70485 - 6.12592i) q^{33} +(-0.0350846 - 0.0389654i) q^{34} +(-6.30785 + 4.15225i) q^{35} +(2.40514 - 4.58689i) q^{36} +(0.930291 - 2.86314i) q^{37} +(-1.10541 - 1.22768i) q^{38} +(7.22315 + 5.02680i) q^{39} +(2.00275 + 3.87103i) q^{40} +(5.68382 - 1.20813i) q^{41} +(3.05909 - 0.0621998i) q^{42} +(5.61908 - 9.73253i) q^{43} +(5.77296 + 4.19430i) q^{44} +(-3.38597 + 5.79096i) q^{45} +(0.834057 - 0.605978i) q^{46} +(-0.973397 - 9.26125i) q^{47} +(-0.355244 + 4.19957i) q^{48} +(-2.20301 - 3.81573i) q^{49} +(-1.09332 - 2.37583i) q^{50} +(0.0216552 + 0.172269i) q^{51} +(-8.57978 - 1.82369i) q^{52} +(1.84804 - 1.34268i) q^{53} +(2.41095 - 1.25476i) q^{54} +(-7.21862 - 5.77172i) q^{55} +(-6.01370 + 2.67747i) q^{56} +(0.682287 + 5.42765i) q^{57} +(-0.370946 + 3.52931i) q^{58} +(-8.28217 + 1.76043i) q^{59} +(0.870382 - 6.62944i) q^{60} +(-3.39787 - 0.722239i) q^{61} +(0.393599 - 1.21137i) q^{62} +(-8.43214 - 5.61724i) q^{63} +(-0.668023 - 2.05596i) q^{64} +(10.9919 + 2.87227i) q^{65} +(1.22933 + 3.53713i) q^{66} +(1.41822 - 13.4935i) q^{67} +(-0.0865293 - 0.149873i) q^{68} +(-3.41314 + 0.0693985i) q^{69} +(3.67887 - 1.43844i) q^{70} +(6.75154 - 4.90528i) q^{71} +(-3.73283 + 4.50095i) q^{72} +(3.28345 + 10.1054i) q^{73} +(-0.787338 + 1.36371i) q^{74} +(-1.52230 + 8.52541i) q^{75} +(-2.72627 - 4.72203i) q^{76} +(9.34063 - 10.3738i) q^{77} +(-3.14894 - 3.35741i) q^{78} +(1.50231 + 14.2935i) q^{79} +(1.44082 + 5.24674i) q^{80} +(-8.92623 - 1.14993i) q^{81} -3.03942 q^{82} +(-5.66643 + 2.52286i) q^{83} +(9.91877 + 1.89842i) q^{84} +(0.102999 + 0.199082i) q^{85} +(-3.93333 + 4.36841i) q^{86} +(7.68393 - 8.89087i) q^{87} +(-5.39081 - 5.98710i) q^{88} +(-2.14728 - 6.60864i) q^{89} +(2.36215 - 2.59462i) q^{90} +(-5.30248 + 16.3193i) q^{91} +(3.10854 - 1.38401i) q^{92} +(-3.36110 + 2.54796i) q^{93} +(-0.509149 + 4.84423i) q^{94} +(3.24517 + 6.27246i) q^{95} +(2.59399 - 8.57267i) q^{96} +(0.182492 + 1.73630i) q^{97} +(0.712171 + 2.19184i) q^{98} +(3.34925 - 11.9390i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.511634 0.108751i −0.361780 0.0768986i 0.0234357 0.999725i \(-0.492539\pi\)
−0.385215 + 0.922827i \(0.625873\pi\)
\(3\) 1.18489 + 1.26334i 0.684099 + 0.729389i
\(4\) −1.57715 0.702192i −0.788574 0.351096i
\(5\) 1.99861 + 1.00277i 0.893807 + 0.448452i
\(6\) −0.468843 0.775225i −0.191404 0.316484i
\(7\) −1.68864 + 2.92481i −0.638246 + 1.10547i 0.347571 + 0.937654i \(0.387006\pi\)
−0.985817 + 0.167821i \(0.946327\pi\)
\(8\) 1.57689 + 1.14568i 0.557516 + 0.405059i
\(9\) −0.192048 + 2.99385i −0.0640161 + 0.997949i
\(10\) −0.913505 0.730402i −0.288876 0.230973i
\(11\) −4.04299 0.859364i −1.21901 0.259108i −0.446890 0.894589i \(-0.647469\pi\)
−0.772117 + 0.635481i \(0.780802\pi\)
\(12\) −0.981649 2.82450i −0.283378 0.815362i
\(13\) 4.96974 1.05635i 1.37836 0.292979i 0.541639 0.840611i \(-0.317804\pi\)
0.836719 + 0.547632i \(0.184471\pi\)
\(14\) 1.18204 1.31279i 0.315914 0.350858i
\(15\) 1.10131 + 3.71310i 0.284357 + 0.958719i
\(16\) 1.62818 + 1.80828i 0.407045 + 0.452070i
\(17\) 0.0810977 + 0.0589209i 0.0196691 + 0.0142904i 0.597576 0.801812i \(-0.296130\pi\)
−0.577907 + 0.816102i \(0.696130\pi\)
\(18\) 0.423842 1.51087i 0.0999006 0.356115i
\(19\) 2.55513 + 1.85641i 0.586188 + 0.425890i 0.840950 0.541113i \(-0.181997\pi\)
−0.254762 + 0.967004i \(0.581997\pi\)
\(20\) −2.44797 2.98493i −0.547383 0.667450i
\(21\) −5.69589 + 1.33227i −1.24294 + 0.290725i
\(22\) 1.97507 + 0.879359i 0.421087 + 0.187480i
\(23\) −1.31885 + 1.46473i −0.274998 + 0.305417i −0.864785 0.502143i \(-0.832545\pi\)
0.589786 + 0.807559i \(0.299212\pi\)
\(24\) 0.421071 + 3.34966i 0.0859508 + 0.683747i
\(25\) 2.98891 + 4.00830i 0.597781 + 0.801659i
\(26\) −2.65757 −0.521192
\(27\) −4.00980 + 3.30477i −0.771686 + 0.636004i
\(28\) 4.71702 3.42711i 0.891432 0.647663i
\(29\) −0.709179 6.74738i −0.131691 1.25296i −0.838243 0.545297i \(-0.816417\pi\)
0.706552 0.707661i \(-0.250250\pi\)
\(30\) −0.159663 2.01952i −0.0291503 0.368712i
\(31\) −0.254537 + 2.42176i −0.0457162 + 0.434961i 0.947593 + 0.319479i \(0.103508\pi\)
−0.993310 + 0.115482i \(0.963159\pi\)
\(32\) −2.58553 4.47827i −0.457061 0.791653i
\(33\) −3.70485 6.12592i −0.644931 1.06639i
\(34\) −0.0350846 0.0389654i −0.00601696 0.00668251i
\(35\) −6.30785 + 4.15225i −1.06622 + 0.701858i
\(36\) 2.40514 4.58689i 0.400857 0.764481i
\(37\) 0.930291 2.86314i 0.152939 0.470698i −0.845007 0.534755i \(-0.820404\pi\)
0.997946 + 0.0640571i \(0.0204040\pi\)
\(38\) −1.10541 1.22768i −0.179320 0.199156i
\(39\) 7.22315 + 5.02680i 1.15663 + 0.804932i
\(40\) 2.00275 + 3.87103i 0.316662 + 0.612064i
\(41\) 5.68382 1.20813i 0.887663 0.188679i 0.258555 0.965996i \(-0.416754\pi\)
0.629108 + 0.777318i \(0.283420\pi\)
\(42\) 3.05909 0.0621998i 0.472028 0.00959763i
\(43\) 5.61908 9.73253i 0.856902 1.48420i −0.0179676 0.999839i \(-0.505720\pi\)
0.874869 0.484359i \(-0.160947\pi\)
\(44\) 5.77296 + 4.19430i 0.870306 + 0.632314i
\(45\) −3.38597 + 5.79096i −0.504750 + 0.863265i
\(46\) 0.834057 0.605978i 0.122975 0.0893465i
\(47\) −0.973397 9.26125i −0.141985 1.35089i −0.800955 0.598724i \(-0.795675\pi\)
0.658971 0.752168i \(-0.270992\pi\)
\(48\) −0.355244 + 4.19957i −0.0512751 + 0.606155i
\(49\) −2.20301 3.81573i −0.314716 0.545105i
\(50\) −1.09332 2.37583i −0.154619 0.335993i
\(51\) 0.0216552 + 0.172269i 0.00303233 + 0.0241225i
\(52\) −8.57978 1.82369i −1.18980 0.252900i
\(53\) 1.84804 1.34268i 0.253848 0.184432i −0.453582 0.891214i \(-0.649854\pi\)
0.707431 + 0.706783i \(0.249854\pi\)
\(54\) 2.41095 1.25476i 0.328088 0.170752i
\(55\) −7.21862 5.77172i −0.973359 0.778259i
\(56\) −6.01370 + 2.67747i −0.803615 + 0.357792i
\(57\) 0.682287 + 5.42765i 0.0903711 + 0.718910i
\(58\) −0.370946 + 3.52931i −0.0487076 + 0.463421i
\(59\) −8.28217 + 1.76043i −1.07825 + 0.229188i −0.712604 0.701567i \(-0.752484\pi\)
−0.365643 + 0.930755i \(0.619151\pi\)
\(60\) 0.870382 6.62944i 0.112366 0.855857i
\(61\) −3.39787 0.722239i −0.435052 0.0924732i −0.0148208 0.999890i \(-0.504718\pi\)
−0.420231 + 0.907417i \(0.638051\pi\)
\(62\) 0.393599 1.21137i 0.0499871 0.153844i
\(63\) −8.43214 5.61724i −1.06235 0.707705i
\(64\) −0.668023 2.05596i −0.0835028 0.256995i
\(65\) 10.9919 + 2.87227i 1.36337 + 0.356261i
\(66\) 1.22933 + 3.53713i 0.151319 + 0.435391i
\(67\) 1.41822 13.4935i 0.173264 1.64849i −0.469868 0.882737i \(-0.655699\pi\)
0.643132 0.765756i \(-0.277635\pi\)
\(68\) −0.0865293 0.149873i −0.0104932 0.0181748i
\(69\) −3.41314 + 0.0693985i −0.410894 + 0.00835460i
\(70\) 3.67887 1.43844i 0.439709 0.171927i
\(71\) 6.75154 4.90528i 0.801260 0.582149i −0.110024 0.993929i \(-0.535093\pi\)
0.911283 + 0.411780i \(0.135093\pi\)
\(72\) −3.73283 + 4.50095i −0.439918 + 0.530442i
\(73\) 3.28345 + 10.1054i 0.384299 + 1.18275i 0.936988 + 0.349362i \(0.113602\pi\)
−0.552689 + 0.833387i \(0.686398\pi\)
\(74\) −0.787338 + 1.36371i −0.0915262 + 0.158528i
\(75\) −1.52230 + 8.52541i −0.175780 + 0.984430i
\(76\) −2.72627 4.72203i −0.312724 0.541654i
\(77\) 9.34063 10.3738i 1.06446 1.18221i
\(78\) −3.14894 3.35741i −0.356547 0.380151i
\(79\) 1.50231 + 14.2935i 0.169023 + 1.60815i 0.669780 + 0.742559i \(0.266388\pi\)
−0.500757 + 0.865588i \(0.666945\pi\)
\(80\) 1.44082 + 5.24674i 0.161088 + 0.586604i
\(81\) −8.92623 1.14993i −0.991804 0.127770i
\(82\) −3.03942 −0.335648
\(83\) −5.66643 + 2.52286i −0.621971 + 0.276919i −0.693430 0.720524i \(-0.743901\pi\)
0.0714586 + 0.997444i \(0.477235\pi\)
\(84\) 9.91877 + 1.89842i 1.08223 + 0.207135i
\(85\) 0.102999 + 0.199082i 0.0111718 + 0.0215935i
\(86\) −3.93333 + 4.36841i −0.424142 + 0.471058i
\(87\) 7.68393 8.89087i 0.823803 0.953202i
\(88\) −5.39081 5.98710i −0.574662 0.638227i
\(89\) −2.14728 6.60864i −0.227611 0.700514i −0.998016 0.0629597i \(-0.979946\pi\)
0.770405 0.637555i \(-0.220054\pi\)
\(90\) 2.36215 2.59462i 0.248992 0.273497i
\(91\) −5.30248 + 16.3193i −0.555851 + 1.71073i
\(92\) 3.10854 1.38401i 0.324087 0.144293i
\(93\) −3.36110 + 2.54796i −0.348530 + 0.264211i
\(94\) −0.509149 + 4.84423i −0.0525147 + 0.499644i
\(95\) 3.24517 + 6.27246i 0.332947 + 0.643541i
\(96\) 2.59399 8.57267i 0.264748 0.874945i
\(97\) 0.182492 + 1.73630i 0.0185293 + 0.176294i 0.999872 0.0159700i \(-0.00508364\pi\)
−0.981343 + 0.192264i \(0.938417\pi\)
\(98\) 0.712171 + 2.19184i 0.0719402 + 0.221409i
\(99\) 3.34925 11.9390i 0.336612 1.19992i
\(100\) −1.89935 8.42047i −0.189935 0.842047i
\(101\) −6.20087 + 10.7402i −0.617010 + 1.06869i 0.373019 + 0.927824i \(0.378323\pi\)
−0.990028 + 0.140868i \(0.955011\pi\)
\(102\) 0.00765492 0.0904936i 0.000757950 0.00896020i
\(103\) 8.00291 + 3.56312i 0.788550 + 0.351085i 0.761180 0.648540i \(-0.224620\pi\)
0.0273697 + 0.999625i \(0.491287\pi\)
\(104\) 9.04699 + 4.02798i 0.887130 + 0.394976i
\(105\) −12.7198 3.04897i −1.24133 0.297549i
\(106\) −1.09154 + 0.485985i −0.106020 + 0.0472030i
\(107\) 3.09879 0.299571 0.149786 0.988718i \(-0.452142\pi\)
0.149786 + 0.988718i \(0.452142\pi\)
\(108\) 8.64463 2.39647i 0.831830 0.230600i
\(109\) −0.863050 + 2.65620i −0.0826652 + 0.254417i −0.983843 0.179032i \(-0.942704\pi\)
0.901178 + 0.433449i \(0.142704\pi\)
\(110\) 3.06561 + 3.73804i 0.292294 + 0.356408i
\(111\) 4.71942 2.21725i 0.447947 0.210452i
\(112\) −8.03829 + 1.70859i −0.759547 + 0.161447i
\(113\) 8.15534 1.73347i 0.767190 0.163071i 0.192338 0.981329i \(-0.438393\pi\)
0.574852 + 0.818257i \(0.305060\pi\)
\(114\) 0.241183 2.85117i 0.0225888 0.267037i
\(115\) −4.10465 + 1.60492i −0.382760 + 0.149660i
\(116\) −3.61948 + 11.1396i −0.336060 + 1.03429i
\(117\) 2.20812 + 15.0815i 0.204141 + 1.39429i
\(118\) 4.42888 0.407712
\(119\) −0.309277 + 0.137699i −0.0283514 + 0.0126229i
\(120\) −2.51738 + 7.11691i −0.229804 + 0.649682i
\(121\) 5.55825 + 2.47469i 0.505295 + 0.224972i
\(122\) 1.65992 + 0.739043i 0.150282 + 0.0669098i
\(123\) 8.26101 + 5.74908i 0.744870 + 0.518377i
\(124\) 2.10198 3.64074i 0.188764 0.326948i
\(125\) 1.95426 + 11.0082i 0.174795 + 0.984605i
\(126\) 3.70328 + 3.79097i 0.329915 + 0.337727i
\(127\) 2.69804 + 8.30372i 0.239412 + 0.736836i 0.996505 + 0.0835285i \(0.0266189\pi\)
−0.757093 + 0.653307i \(0.773381\pi\)
\(128\) 1.19924 + 11.4100i 0.105999 + 1.00851i
\(129\) 18.9535 4.43323i 1.66876 0.390324i
\(130\) −5.31144 2.66493i −0.465845 0.233730i
\(131\) −0.0976235 + 0.928826i −0.00852941 + 0.0811519i −0.997959 0.0638655i \(-0.979657\pi\)
0.989429 + 0.145017i \(0.0463238\pi\)
\(132\) 1.54153 + 12.2630i 0.134173 + 1.06736i
\(133\) −9.74436 + 4.33847i −0.844943 + 0.376193i
\(134\) −2.19304 + 6.74949i −0.189450 + 0.583067i
\(135\) −11.3280 + 2.58405i −0.974956 + 0.222400i
\(136\) 0.0603779 + 0.185824i 0.00517736 + 0.0159343i
\(137\) 4.15156 + 4.61078i 0.354692 + 0.393925i 0.893914 0.448238i \(-0.147948\pi\)
−0.539222 + 0.842163i \(0.681282\pi\)
\(138\) 1.75382 + 0.335676i 0.149295 + 0.0285746i
\(139\) −3.82314 + 4.24603i −0.324275 + 0.360143i −0.883136 0.469118i \(-0.844572\pi\)
0.558861 + 0.829261i \(0.311239\pi\)
\(140\) 12.8641 2.11939i 1.08721 0.179121i
\(141\) 10.5467 12.2033i 0.888194 1.02771i
\(142\) −3.98777 + 1.77547i −0.334646 + 0.148994i
\(143\) −21.0004 −1.75614
\(144\) −5.72640 + 4.52725i −0.477200 + 0.377271i
\(145\) 5.34870 14.1965i 0.444185 1.17896i
\(146\) −0.580948 5.52735i −0.0480796 0.457447i
\(147\) 2.21022 7.30439i 0.182296 0.602456i
\(148\) −3.47768 + 3.86236i −0.285864 + 0.317484i
\(149\) −10.5541 18.2802i −0.864623 1.49757i −0.867421 0.497575i \(-0.834224\pi\)
0.00279771 0.999996i \(-0.499109\pi\)
\(150\) 1.70601 4.19634i 0.139295 0.342629i
\(151\) 8.84475 15.3196i 0.719776 1.24669i −0.241313 0.970447i \(-0.577578\pi\)
0.961088 0.276241i \(-0.0890888\pi\)
\(152\) 1.90232 + 5.85473i 0.154298 + 0.474882i
\(153\) −0.191975 + 0.231478i −0.0155202 + 0.0187139i
\(154\) −5.90715 + 4.29179i −0.476011 + 0.345843i
\(155\) −2.93719 + 4.58491i −0.235921 + 0.368269i
\(156\) −7.86220 13.0000i −0.629480 1.04084i
\(157\) 0.489023 + 0.847013i 0.0390283 + 0.0675990i 0.884880 0.465820i \(-0.154240\pi\)
−0.845851 + 0.533419i \(0.820907\pi\)
\(158\) 0.785804 7.47643i 0.0625152 0.594793i
\(159\) 3.88600 + 0.743767i 0.308180 + 0.0589846i
\(160\) −0.676799 11.5430i −0.0535057 0.912555i
\(161\) −2.05699 6.33077i −0.162114 0.498935i
\(162\) 4.44191 + 1.55908i 0.348989 + 0.122493i
\(163\) 3.86004 11.8800i 0.302341 0.930511i −0.678314 0.734772i \(-0.737289\pi\)
0.980656 0.195740i \(-0.0627107\pi\)
\(164\) −9.81257 2.08573i −0.766233 0.162868i
\(165\) −1.26167 15.9584i −0.0982210 1.24236i
\(166\) 3.17350 0.674548i 0.246311 0.0523551i
\(167\) −2.05606 + 19.5621i −0.159103 + 1.51376i 0.565588 + 0.824688i \(0.308649\pi\)
−0.724691 + 0.689074i \(0.758018\pi\)
\(168\) −10.5082 4.42482i −0.810722 0.341382i
\(169\) 11.7063 5.21200i 0.900488 0.400923i
\(170\) −0.0310472 0.113058i −0.00238121 0.00867119i
\(171\) −6.04853 + 7.29316i −0.462542 + 0.557722i
\(172\) −15.6962 + 11.4040i −1.19683 + 0.869545i
\(173\) −3.71248 0.789111i −0.282254 0.0599950i 0.0646091 0.997911i \(-0.479420\pi\)
−0.346864 + 0.937916i \(0.612753\pi\)
\(174\) −4.89825 + 3.71323i −0.371335 + 0.281500i
\(175\) −16.7707 + 1.97341i −1.26775 + 0.149176i
\(176\) −5.02875 8.71005i −0.379056 0.656545i
\(177\) −12.0375 8.37726i −0.904795 0.629673i
\(178\) 0.379922 + 3.61472i 0.0284764 + 0.270935i
\(179\) 3.68369 2.67636i 0.275332 0.200040i −0.441547 0.897238i \(-0.645570\pi\)
0.716879 + 0.697198i \(0.245570\pi\)
\(180\) 9.40654 6.75560i 0.701122 0.503533i
\(181\) 15.5083 + 11.2674i 1.15272 + 0.837501i 0.988840 0.148979i \(-0.0475988\pi\)
0.163881 + 0.986480i \(0.447599\pi\)
\(182\) 4.48767 7.77288i 0.332648 0.576164i
\(183\) −3.11368 5.14843i −0.230170 0.380583i
\(184\) −3.75779 + 0.798743i −0.277028 + 0.0588841i
\(185\) 4.73036 4.78944i 0.347783 0.352127i
\(186\) 1.99675 0.938100i 0.146409 0.0687848i
\(187\) −0.277242 0.307909i −0.0202740 0.0225165i
\(188\) −4.96798 + 15.2899i −0.362328 + 1.11513i
\(189\) −2.89473 17.3085i −0.210560 1.25901i
\(190\) −0.978200 3.56212i −0.0709661 0.258423i
\(191\) −11.7657 13.0671i −0.851336 0.945504i 0.147717 0.989030i \(-0.452808\pi\)
−0.999052 + 0.0435258i \(0.986141\pi\)
\(192\) 1.80584 3.28004i 0.130325 0.236716i
\(193\) −9.88753 17.1257i −0.711720 1.23273i −0.964211 0.265136i \(-0.914583\pi\)
0.252491 0.967599i \(-0.418750\pi\)
\(194\) 0.0954550 0.908193i 0.00685327 0.0652045i
\(195\) 9.39555 + 17.2898i 0.672830 + 1.23815i
\(196\) 0.795105 + 7.56492i 0.0567932 + 0.540351i
\(197\) 0.487820 0.354422i 0.0347558 0.0252515i −0.570272 0.821456i \(-0.693162\pi\)
0.605028 + 0.796205i \(0.293162\pi\)
\(198\) −3.01197 + 5.74418i −0.214052 + 0.408221i
\(199\) −18.7806 −1.33132 −0.665659 0.746256i \(-0.731850\pi\)
−0.665659 + 0.746256i \(0.731850\pi\)
\(200\) 0.120959 + 9.74499i 0.00855308 + 0.689075i
\(201\) 18.7273 14.1967i 1.32092 1.00136i
\(202\) 4.34059 4.82071i 0.305403 0.339184i
\(203\) 20.9324 + 9.31969i 1.46916 + 0.654114i
\(204\) 0.0868124 0.286900i 0.00607808 0.0200870i
\(205\) 12.5712 + 3.28497i 0.878013 + 0.229432i
\(206\) −3.70706 2.69334i −0.258283 0.187654i
\(207\) −4.13189 4.22972i −0.287186 0.293986i
\(208\) 10.0018 + 7.26675i 0.693501 + 0.503858i
\(209\) −8.73504 9.70125i −0.604216 0.671049i
\(210\) 6.17632 + 2.94325i 0.426206 + 0.203104i
\(211\) −11.1072 + 12.3358i −0.764650 + 0.849229i −0.992215 0.124533i \(-0.960257\pi\)
0.227566 + 0.973763i \(0.426923\pi\)
\(212\) −3.85746 + 0.819929i −0.264931 + 0.0563129i
\(213\) 14.1969 + 2.71724i 0.972755 + 0.186182i
\(214\) −1.58545 0.336997i −0.108379 0.0230366i
\(215\) 20.9899 13.8169i 1.43150 0.942306i
\(216\) −10.1092 + 0.617326i −0.687846 + 0.0420037i
\(217\) −6.65336 4.83395i −0.451660 0.328150i
\(218\) 0.730430 1.26514i 0.0494709 0.0856862i
\(219\) −8.87602 + 16.1220i −0.599786 + 1.08942i
\(220\) 7.33199 + 14.1717i 0.494322 + 0.955457i
\(221\) 0.465275 + 0.207154i 0.0312978 + 0.0139347i
\(222\) −2.65574 + 0.621178i −0.178242 + 0.0416907i
\(223\) −2.86581 0.609147i −0.191909 0.0407915i 0.110954 0.993825i \(-0.464609\pi\)
−0.302863 + 0.953034i \(0.597943\pi\)
\(224\) 17.4641 1.16687
\(225\) −12.5742 + 8.17854i −0.838283 + 0.545236i
\(226\) −4.36106 −0.290094
\(227\) 21.6311 + 4.59782i 1.43570 + 0.305168i 0.859080 0.511842i \(-0.171037\pi\)
0.576624 + 0.817010i \(0.304370\pi\)
\(228\) 2.73519 9.03931i 0.181142 0.598643i
\(229\) −16.5508 7.36890i −1.09371 0.486950i −0.221041 0.975265i \(-0.570945\pi\)
−0.872668 + 0.488314i \(0.837612\pi\)
\(230\) 2.27461 0.374748i 0.149984 0.0247101i
\(231\) 24.1733 0.491510i 1.59049 0.0323390i
\(232\) 6.61204 11.4524i 0.434102 0.751887i
\(233\) 6.92161 + 5.02884i 0.453450 + 0.329450i 0.790956 0.611873i \(-0.209584\pi\)
−0.337507 + 0.941323i \(0.609584\pi\)
\(234\) 0.510381 7.95634i 0.0333646 0.520122i
\(235\) 7.34146 19.4858i 0.478904 1.27111i
\(236\) 14.2984 + 3.03921i 0.930745 + 0.197836i
\(237\) −16.2775 + 18.8343i −1.05734 + 1.22342i
\(238\) 0.173212 0.0368173i 0.0112276 0.00238651i
\(239\) −14.2452 + 15.8209i −0.921443 + 1.02337i 0.0782072 + 0.996937i \(0.475080\pi\)
−0.999651 + 0.0264295i \(0.991586\pi\)
\(240\) −4.92119 + 8.03708i −0.317662 + 0.518791i
\(241\) 1.90768 + 2.11869i 0.122884 + 0.136477i 0.801447 0.598065i \(-0.204064\pi\)
−0.678563 + 0.734542i \(0.737397\pi\)
\(242\) −2.57466 1.87060i −0.165506 0.120247i
\(243\) −9.12390 12.6394i −0.585299 0.810818i
\(244\) 4.85179 + 3.52503i 0.310604 + 0.225667i
\(245\) −0.576671 9.83529i −0.0368421 0.628353i
\(246\) −3.60139 3.83982i −0.229616 0.244818i
\(247\) 14.6594 + 6.52677i 0.932754 + 0.415289i
\(248\) −3.17594 + 3.52724i −0.201672 + 0.223980i
\(249\) −9.90134 4.16930i −0.627472 0.264218i
\(250\) 0.197288 5.84470i 0.0124776 0.369651i
\(251\) 1.54809 0.0977144 0.0488572 0.998806i \(-0.484442\pi\)
0.0488572 + 0.998806i \(0.484442\pi\)
\(252\) 9.35436 + 14.7802i 0.589269 + 0.931065i
\(253\) 6.59081 4.78851i 0.414361 0.301051i
\(254\) −0.477370 4.54188i −0.0299529 0.284983i
\(255\) −0.129466 + 0.366014i −0.00810746 + 0.0229207i
\(256\) 0.175347 1.66831i 0.0109592 0.104269i
\(257\) −5.00583 8.67035i −0.312255 0.540842i 0.666595 0.745420i \(-0.267751\pi\)
−0.978850 + 0.204578i \(0.934418\pi\)
\(258\) −10.1794 + 0.206975i −0.633740 + 0.0128857i
\(259\) 6.80322 + 7.55575i 0.422732 + 0.469491i
\(260\) −15.3189 12.2484i −0.950039 0.759613i
\(261\) 20.3368 0.827349i 1.25882 0.0512116i
\(262\) 0.150958 0.464602i 0.00932623 0.0287032i
\(263\) 9.67179 + 10.7416i 0.596388 + 0.662356i 0.963465 0.267834i \(-0.0863080\pi\)
−0.367077 + 0.930191i \(0.619641\pi\)
\(264\) 1.17619 13.9045i 0.0723895 0.855762i
\(265\) 5.03993 0.830340i 0.309600 0.0510074i
\(266\) 5.45736 1.16000i 0.334612 0.0711240i
\(267\) 5.80465 10.5433i 0.355239 0.645238i
\(268\) −11.7118 + 20.2854i −0.715410 + 1.23913i
\(269\) −24.3691 17.7052i −1.48581 1.07951i −0.975626 0.219442i \(-0.929576\pi\)
−0.510187 0.860064i \(-0.670424\pi\)
\(270\) 6.07678 0.0901608i 0.369821 0.00548701i
\(271\) −7.60294 + 5.52386i −0.461846 + 0.335551i −0.794255 0.607585i \(-0.792139\pi\)
0.332409 + 0.943135i \(0.392139\pi\)
\(272\) 0.0254963 + 0.242581i 0.00154594 + 0.0147086i
\(273\) −26.8997 + 12.6379i −1.62805 + 0.764880i
\(274\) −1.62265 2.81051i −0.0980280 0.169789i
\(275\) −8.63952 18.7741i −0.520983 1.13212i
\(276\) 5.43176 + 2.28723i 0.326954 + 0.137675i
\(277\) −10.0183 2.12946i −0.601943 0.127947i −0.103147 0.994666i \(-0.532891\pi\)
−0.498796 + 0.866719i \(0.666224\pi\)
\(278\) 2.41781 1.75664i 0.145011 0.105356i
\(279\) −7.20149 1.22714i −0.431142 0.0734669i
\(280\) −14.7040 0.679129i −0.878729 0.0405857i
\(281\) 1.38210 0.615351i 0.0824492 0.0367087i −0.365098 0.930969i \(-0.618964\pi\)
0.447547 + 0.894260i \(0.352298\pi\)
\(282\) −6.72319 + 5.09667i −0.400360 + 0.303502i
\(283\) 2.49158 23.7058i 0.148109 1.40916i −0.627829 0.778351i \(-0.716056\pi\)
0.775938 0.630810i \(-0.217277\pi\)
\(284\) −14.0926 + 2.99548i −0.836243 + 0.177749i
\(285\) −4.07906 + 11.5320i −0.241623 + 0.683094i
\(286\) 10.7445 + 2.28382i 0.635336 + 0.135045i
\(287\) −6.06437 + 18.6642i −0.357968 + 1.10171i
\(288\) 13.9038 6.88063i 0.819288 0.405445i
\(289\) −5.25018 16.1584i −0.308834 0.950494i
\(290\) −4.28046 + 6.68176i −0.251358 + 0.392366i
\(291\) −1.97729 + 2.28788i −0.115911 + 0.134118i
\(292\) 1.91745 18.2434i 0.112210 1.06761i
\(293\) −0.224026 0.388025i −0.0130878 0.0226687i 0.859407 0.511292i \(-0.170833\pi\)
−0.872495 + 0.488623i \(0.837499\pi\)
\(294\) −1.92518 + 3.49681i −0.112279 + 0.203938i
\(295\) −18.3182 4.78669i −1.06652 0.278692i
\(296\) 4.74722 3.44905i 0.275926 0.200472i
\(297\) 19.0516 9.91528i 1.10548 0.575343i
\(298\) 3.41183 + 10.5005i 0.197642 + 0.608279i
\(299\) −5.00706 + 8.67248i −0.289566 + 0.501542i
\(300\) 8.38736 12.3769i 0.484245 0.714580i
\(301\) 18.9772 + 32.8695i 1.09383 + 1.89457i
\(302\) −6.19129 + 6.87613i −0.356269 + 0.395677i
\(303\) −20.9159 + 4.89224i −1.20159 + 0.281052i
\(304\) 0.803309 + 7.64297i 0.0460729 + 0.438355i
\(305\) −6.06678 4.85075i −0.347383 0.277753i
\(306\) 0.123394 0.0975546i 0.00705398 0.00557683i
\(307\) 5.99405 0.342099 0.171049 0.985262i \(-0.445284\pi\)
0.171049 + 0.985262i \(0.445284\pi\)
\(308\) −22.0160 + 9.80214i −1.25448 + 0.558529i
\(309\) 4.98117 + 14.3323i 0.283369 + 0.815337i
\(310\) 2.00138 2.02637i 0.113671 0.115090i
\(311\) −14.8967 + 16.5445i −0.844716 + 0.938152i −0.998754 0.0499127i \(-0.984106\pi\)
0.154037 + 0.988065i \(0.450772\pi\)
\(312\) 5.63103 + 16.2021i 0.318794 + 0.917266i
\(313\) 2.35212 + 2.61229i 0.132949 + 0.147655i 0.805943 0.591993i \(-0.201659\pi\)
−0.672994 + 0.739648i \(0.734992\pi\)
\(314\) −0.158087 0.486542i −0.00892137 0.0274572i
\(315\) −11.2198 19.6822i −0.632163 1.10896i
\(316\) 7.66743 23.5979i 0.431327 1.32749i
\(317\) 3.76678 1.67708i 0.211564 0.0941942i −0.298219 0.954498i \(-0.596393\pi\)
0.509783 + 0.860303i \(0.329726\pi\)
\(318\) −1.90732 0.803143i −0.106957 0.0450380i
\(319\) −2.93126 + 27.8890i −0.164119 + 1.56149i
\(320\) 0.726539 4.77895i 0.0406147 0.267151i
\(321\) 3.67174 + 3.91482i 0.204937 + 0.218504i
\(322\) 0.363948 + 3.46274i 0.0202820 + 0.192971i
\(323\) 0.0978338 + 0.301102i 0.00544362 + 0.0167537i
\(324\) 13.2705 + 8.08153i 0.737252 + 0.448974i
\(325\) 19.0883 + 16.7629i 1.05883 + 0.929836i
\(326\) −3.26689 + 5.65841i −0.180936 + 0.313390i
\(327\) −4.37830 + 2.05699i −0.242120 + 0.113752i
\(328\) 10.3469 + 4.60674i 0.571313 + 0.254365i
\(329\) 28.7311 + 12.7919i 1.58400 + 0.705242i
\(330\) −1.08998 + 8.30209i −0.0600017 + 0.457015i
\(331\) 14.3453 6.38692i 0.788487 0.351057i 0.0273314 0.999626i \(-0.491299\pi\)
0.761155 + 0.648569i \(0.224632\pi\)
\(332\) 10.7083 0.587696
\(333\) 8.39315 + 3.33501i 0.459942 + 0.182757i
\(334\) 3.17935 9.78504i 0.173966 0.535413i
\(335\) 16.3653 25.5461i 0.894134 1.39573i
\(336\) −11.6831 8.13058i −0.637363 0.443559i
\(337\) 25.4247 5.40419i 1.38497 0.294385i 0.545648 0.838014i \(-0.316284\pi\)
0.839325 + 0.543629i \(0.182950\pi\)
\(338\) −6.55617 + 1.39356i −0.356609 + 0.0757995i
\(339\) 11.8532 + 8.24898i 0.643777 + 0.448023i
\(340\) −0.0226503 0.386307i −0.00122838 0.0209505i
\(341\) 3.11026 9.57240i 0.168430 0.518375i
\(342\) 3.88777 3.07364i 0.210226 0.166204i
\(343\) −8.76057 −0.473026
\(344\) 20.0111 8.90950i 1.07892 0.480368i
\(345\) −6.89114 3.28389i −0.371006 0.176799i
\(346\) 1.81361 + 0.807472i 0.0975004 + 0.0434100i
\(347\) −11.2161 4.99372i −0.602111 0.268077i 0.0829607 0.996553i \(-0.473562\pi\)
−0.685071 + 0.728476i \(0.740229\pi\)
\(348\) −18.3618 + 8.62664i −0.984295 + 0.462436i
\(349\) −12.3258 + 21.3489i −0.659784 + 1.14278i 0.320888 + 0.947117i \(0.396019\pi\)
−0.980671 + 0.195662i \(0.937314\pi\)
\(350\) 8.79507 + 0.814168i 0.470116 + 0.0435191i
\(351\) −16.4367 + 20.6596i −0.877324 + 1.10273i
\(352\) 6.60480 + 20.3275i 0.352037 + 1.08346i
\(353\) −2.66609 25.3662i −0.141902 1.35011i −0.801278 0.598292i \(-0.795846\pi\)
0.659376 0.751813i \(-0.270821\pi\)
\(354\) 5.24776 + 5.59518i 0.278915 + 0.297380i
\(355\) 18.4126 3.03351i 0.977238 0.161002i
\(356\) −1.25396 + 11.9306i −0.0664596 + 0.632321i
\(357\) −0.540422 0.227563i −0.0286021 0.0120439i
\(358\) −2.17576 + 0.968709i −0.114992 + 0.0511978i
\(359\) 2.79781 8.61076i 0.147663 0.454459i −0.849681 0.527297i \(-0.823206\pi\)
0.997344 + 0.0728380i \(0.0232056\pi\)
\(360\) −11.9739 + 5.25249i −0.631080 + 0.276830i
\(361\) −2.78888 8.58330i −0.146783 0.451753i
\(362\) −6.70921 7.45133i −0.352628 0.391633i
\(363\) 3.45957 + 9.95420i 0.181580 + 0.522460i
\(364\) 19.8221 22.0147i 1.03896 1.15388i
\(365\) −3.57106 + 23.4894i −0.186918 + 1.22949i
\(366\) 1.03317 + 2.97273i 0.0540045 + 0.155387i
\(367\) −21.5890 + 9.61205i −1.12694 + 0.501745i −0.883621 0.468202i \(-0.844902\pi\)
−0.243316 + 0.969947i \(0.578235\pi\)
\(368\) −4.79596 −0.250007
\(369\) 2.52540 + 17.2485i 0.131467 + 0.897921i
\(370\) −2.94107 + 1.93601i −0.152899 + 0.100648i
\(371\) 0.806411 + 7.67249i 0.0418668 + 0.398336i
\(372\) 7.09011 1.65838i 0.367605 0.0859829i
\(373\) −1.10252 + 1.22447i −0.0570864 + 0.0634009i −0.771012 0.636821i \(-0.780249\pi\)
0.713925 + 0.700222i \(0.246916\pi\)
\(374\) 0.108361 + 0.187687i 0.00560322 + 0.00970506i
\(375\) −11.5915 + 15.5125i −0.598583 + 0.801061i
\(376\) 9.07549 15.7192i 0.468033 0.810656i
\(377\) −10.6520 32.7836i −0.548608 1.68844i
\(378\) −0.401277 + 9.17040i −0.0206395 + 0.471675i
\(379\) 17.3280 12.5895i 0.890077 0.646679i −0.0458208 0.998950i \(-0.514590\pi\)
0.935898 + 0.352271i \(0.114590\pi\)
\(380\) −0.713640 12.1713i −0.0366089 0.624376i
\(381\) −7.29351 + 13.2476i −0.373658 + 0.678693i
\(382\) 4.59866 + 7.96511i 0.235288 + 0.407531i
\(383\) 1.18840 11.3069i 0.0607244 0.577755i −0.921280 0.388899i \(-0.872856\pi\)
0.982005 0.188856i \(-0.0604778\pi\)
\(384\) −12.9937 + 15.0347i −0.663083 + 0.767236i
\(385\) 29.0709 11.3667i 1.48159 0.579303i
\(386\) 3.19635 + 9.83736i 0.162690 + 0.500709i
\(387\) 28.0586 + 18.6918i 1.42630 + 0.950157i
\(388\) 0.931395 2.86654i 0.0472844 0.145527i
\(389\) 14.2155 + 3.02160i 0.720755 + 0.153201i 0.553664 0.832740i \(-0.313229\pi\)
0.167091 + 0.985941i \(0.446563\pi\)
\(390\) −2.92680 9.86781i −0.148204 0.499676i
\(391\) −0.193258 + 0.0410783i −0.00977349 + 0.00207742i
\(392\) 0.897690 8.54095i 0.0453402 0.431383i
\(393\) −1.28909 + 0.977229i −0.0650262 + 0.0492947i
\(394\) −0.288129 + 0.128283i −0.0145157 + 0.00646282i
\(395\) −11.3306 + 30.0737i −0.570103 + 1.51317i
\(396\) −13.6658 + 16.4778i −0.686731 + 0.828042i
\(397\) −22.7814 + 16.5516i −1.14336 + 0.830703i −0.987584 0.157089i \(-0.949789\pi\)
−0.155780 + 0.987792i \(0.549789\pi\)
\(398\) 9.60876 + 2.04241i 0.481644 + 0.102377i
\(399\) −17.0270 7.16980i −0.852416 0.358939i
\(400\) −2.38164 + 11.9310i −0.119082 + 0.596551i
\(401\) −4.58244 7.93701i −0.228836 0.396356i 0.728627 0.684910i \(-0.240159\pi\)
−0.957463 + 0.288555i \(0.906825\pi\)
\(402\) −11.1254 + 5.22688i −0.554885 + 0.260693i
\(403\) 1.29324 + 12.3044i 0.0644210 + 0.612925i
\(404\) 17.3214 12.5847i 0.861772 0.626114i
\(405\) −16.6870 11.2492i −0.829182 0.558978i
\(406\) −9.69618 7.04469i −0.481213 0.349622i
\(407\) −6.22164 + 10.7762i −0.308395 + 0.534156i
\(408\) −0.163217 + 0.296460i −0.00808045 + 0.0146769i
\(409\) −15.6809 + 3.33308i −0.775371 + 0.164810i −0.578570 0.815633i \(-0.696389\pi\)
−0.196802 + 0.980443i \(0.563056\pi\)
\(410\) −6.07462 3.04784i −0.300004 0.150522i
\(411\) −0.905807 + 10.7081i −0.0446802 + 0.528192i
\(412\) −10.1198 11.2392i −0.498566 0.553713i
\(413\) 8.83668 27.1965i 0.434825 1.33825i
\(414\) 1.65403 + 2.61341i 0.0812909 + 0.128442i
\(415\) −13.8548 0.639911i −0.680107 0.0314120i
\(416\) −17.5800 19.5246i −0.861931 0.957272i
\(417\) −9.89419 + 0.201176i −0.484521 + 0.00985164i
\(418\) 3.41412 + 5.91343i 0.166990 + 0.289235i
\(419\) 3.08754 29.3760i 0.150836 1.43511i −0.613196 0.789931i \(-0.710116\pi\)
0.764032 0.645179i \(-0.223217\pi\)
\(420\) 17.9201 + 13.7405i 0.874412 + 0.670465i
\(421\) −2.80431 26.6813i −0.136674 1.30037i −0.820890 0.571086i \(-0.806522\pi\)
0.684216 0.729279i \(-0.260145\pi\)
\(422\) 7.02433 5.10348i 0.341939 0.248433i
\(423\) 27.9137 1.13559i 1.35721 0.0552145i
\(424\) 4.45245 0.216230
\(425\) 0.00622076 + 0.501172i 0.000301751 + 0.0243104i
\(426\) −6.96810 2.93416i −0.337606 0.142160i
\(427\) 7.85019 8.71852i 0.379897 0.421919i
\(428\) −4.88726 2.17595i −0.236234 0.105178i
\(429\) −24.8833 26.5306i −1.20137 1.28091i
\(430\) −12.2417 + 4.78653i −0.590348 + 0.230827i
\(431\) 7.77127 + 5.64616i 0.374329 + 0.271966i 0.759004 0.651086i \(-0.225686\pi\)
−0.384675 + 0.923052i \(0.625686\pi\)
\(432\) −12.5046 1.87007i −0.601629 0.0899736i
\(433\) 10.7896 + 7.83912i 0.518516 + 0.376724i 0.816045 0.577989i \(-0.196162\pi\)
−0.297529 + 0.954713i \(0.596162\pi\)
\(434\) 2.87839 + 3.19677i 0.138167 + 0.153450i
\(435\) 24.2727 10.0642i 1.16379 0.482541i
\(436\) 3.22632 3.58319i 0.154513 0.171604i
\(437\) −6.08897 + 1.29425i −0.291275 + 0.0619124i
\(438\) 6.29455 7.28326i 0.300765 0.348008i
\(439\) 7.13546 + 1.51669i 0.340557 + 0.0723876i 0.375015 0.927019i \(-0.377637\pi\)
−0.0344588 + 0.999406i \(0.510971\pi\)
\(440\) −4.77045 17.3716i −0.227422 0.828160i
\(441\) 11.8468 5.86268i 0.564133 0.279175i
\(442\) −0.215522 0.156586i −0.0102514 0.00744804i
\(443\) −5.86605 + 10.1603i −0.278704 + 0.482730i −0.971063 0.238823i \(-0.923238\pi\)
0.692359 + 0.721554i \(0.256572\pi\)
\(444\) −9.00015 + 0.182998i −0.427128 + 0.00868469i
\(445\) 2.33537 15.3613i 0.110707 0.728197i
\(446\) 1.40000 + 0.623320i 0.0662919 + 0.0295151i
\(447\) 10.5886 34.9935i 0.500824 1.65513i
\(448\) 7.14135 + 1.51794i 0.337397 + 0.0717160i
\(449\) −11.6170 −0.548239 −0.274120 0.961696i \(-0.588386\pi\)
−0.274120 + 0.961696i \(0.588386\pi\)
\(450\) 7.32283 2.81695i 0.345202 0.132792i
\(451\) −24.0178 −1.13096
\(452\) −14.0794 2.99267i −0.662240 0.140763i
\(453\) 29.8339 6.97815i 1.40172 0.327862i
\(454\) −10.5672 4.70480i −0.495941 0.220807i
\(455\) −26.9622 + 27.2989i −1.26401 + 1.27979i
\(456\) −5.14246 + 9.34051i −0.240818 + 0.437410i
\(457\) 5.87515 10.1761i 0.274828 0.476016i −0.695264 0.718755i \(-0.744712\pi\)
0.970092 + 0.242739i \(0.0780457\pi\)
\(458\) 7.66658 + 5.57009i 0.358236 + 0.260273i
\(459\) −0.519905 + 0.0317483i −0.0242671 + 0.00148188i
\(460\) 7.60060 + 0.351047i 0.354380 + 0.0163677i
\(461\) 24.6800 + 5.24590i 1.14946 + 0.244326i 0.742968 0.669327i \(-0.233418\pi\)
0.406495 + 0.913653i \(0.366751\pi\)
\(462\) −12.4213 2.37740i −0.577893 0.110607i
\(463\) −20.1283 + 4.27840i −0.935442 + 0.198834i −0.650323 0.759658i \(-0.725366\pi\)
−0.285119 + 0.958492i \(0.592033\pi\)
\(464\) 11.0465 12.2684i 0.512820 0.569544i
\(465\) −9.27256 + 1.72198i −0.430005 + 0.0798549i
\(466\) −2.99444 3.32566i −0.138715 0.154058i
\(467\) 9.19766 + 6.68249i 0.425617 + 0.309229i 0.779894 0.625912i \(-0.215273\pi\)
−0.354277 + 0.935141i \(0.615273\pi\)
\(468\) 7.10758 25.3363i 0.328548 1.17117i
\(469\) 37.0710 + 26.9337i 1.71178 + 1.24368i
\(470\) −5.87524 + 9.17117i −0.271004 + 0.423035i
\(471\) −0.490623 + 1.62142i −0.0226067 + 0.0747112i
\(472\) −15.0770 6.71271i −0.693974 0.308977i
\(473\) −31.0817 + 34.5197i −1.42914 + 1.58722i
\(474\) 10.3764 7.86604i 0.476602 0.361299i
\(475\) 0.195997 + 15.7904i 0.00899295 + 0.724512i
\(476\) 0.584467 0.0267890
\(477\) 3.66487 + 5.79062i 0.167803 + 0.265134i
\(478\) 9.00885 6.54531i 0.412055 0.299375i
\(479\) 4.40749 + 41.9345i 0.201383 + 1.91604i 0.367668 + 0.929957i \(0.380156\pi\)
−0.166284 + 0.986078i \(0.553177\pi\)
\(480\) 13.7808 14.5323i 0.629004 0.663305i
\(481\) 1.59882 15.2118i 0.0729001 0.693598i
\(482\) −0.745621 1.29145i −0.0339621 0.0588241i
\(483\) 5.56059 10.1000i 0.253016 0.459565i
\(484\) −7.02848 7.80591i −0.319476 0.354814i
\(485\) −1.37637 + 3.65318i −0.0624979 + 0.165882i
\(486\) 3.29355 + 7.45898i 0.149398 + 0.338346i
\(487\) 5.00668 15.4090i 0.226874 0.698248i −0.771221 0.636567i \(-0.780354\pi\)
0.998096 0.0616809i \(-0.0196461\pi\)
\(488\) −4.53062 5.03176i −0.205091 0.227777i
\(489\) 19.5822 9.19999i 0.885536 0.416038i
\(490\) −0.774554 + 5.09478i −0.0349908 + 0.230159i
\(491\) −3.78682 + 0.804914i −0.170897 + 0.0363253i −0.292565 0.956246i \(-0.594509\pi\)
0.121668 + 0.992571i \(0.461176\pi\)
\(492\) −8.99189 14.8680i −0.405385 0.670300i
\(493\) 0.340049 0.588982i 0.0153150 0.0265264i
\(494\) −6.79044 4.93354i −0.305516 0.221971i
\(495\) 18.6660 20.5030i 0.838973 0.921541i
\(496\) −4.79365 + 3.48279i −0.215241 + 0.156382i
\(497\) 2.94609 + 28.0302i 0.132150 + 1.25733i
\(498\) 4.61245 + 3.20993i 0.206689 + 0.143841i
\(499\) −5.14142 8.90521i −0.230162 0.398652i 0.727694 0.685902i \(-0.240592\pi\)
−0.957856 + 0.287250i \(0.907259\pi\)
\(500\) 4.64771 18.7339i 0.207852 0.837804i
\(501\) −27.1498 + 20.5815i −1.21296 + 0.919516i
\(502\) −0.792054 0.168356i −0.0353511 0.00751411i
\(503\) 16.4188 11.9290i 0.732078 0.531886i −0.158142 0.987416i \(-0.550550\pi\)
0.890220 + 0.455531i \(0.150550\pi\)
\(504\) −6.86102 18.5183i −0.305614 0.824871i
\(505\) −23.1631 + 15.2475i −1.03075 + 0.678505i
\(506\) −3.89284 + 1.73320i −0.173058 + 0.0770503i
\(507\) 20.4553 + 8.61341i 0.908452 + 0.382535i
\(508\) 1.57559 14.9907i 0.0699055 0.665106i
\(509\) −36.2239 + 7.69962i −1.60559 + 0.341280i −0.921580 0.388189i \(-0.873101\pi\)
−0.684014 + 0.729468i \(0.739767\pi\)
\(510\) 0.106043 0.173185i 0.00469568 0.00766878i
\(511\) −35.1010 7.46095i −1.55278 0.330053i
\(512\) 6.81947 20.9882i 0.301381 0.927555i
\(513\) −16.3806 + 1.00029i −0.723221 + 0.0441639i
\(514\) 1.61824 + 4.98044i 0.0713776 + 0.219678i
\(515\) 12.4217 + 15.1464i 0.547366 + 0.667429i
\(516\) −33.0055 6.31714i −1.45298 0.278096i
\(517\) −4.02335 + 38.2796i −0.176947 + 1.68354i
\(518\) −2.65906 4.60563i −0.116833 0.202360i
\(519\) −3.40198 5.62513i −0.149330 0.246916i
\(520\) 14.0423 + 17.1224i 0.615795 + 0.750868i
\(521\) −11.4682 + 8.33217i −0.502433 + 0.365039i −0.809946 0.586505i \(-0.800503\pi\)
0.307513 + 0.951544i \(0.400503\pi\)
\(522\) −10.4950 1.78835i −0.459353 0.0782741i
\(523\) −3.47821 10.7048i −0.152092 0.468090i 0.845763 0.533559i \(-0.179146\pi\)
−0.997855 + 0.0654688i \(0.979146\pi\)
\(524\) 0.806181 1.39635i 0.0352182 0.0609996i
\(525\) −22.3646 18.8488i −0.976071 0.822628i
\(526\) −3.78025 6.54759i −0.164827 0.285488i
\(527\) −0.163335 + 0.181401i −0.00711496 + 0.00790197i
\(528\) 5.04520 16.6735i 0.219564 0.725621i
\(529\) 1.99808 + 19.0105i 0.0868732 + 0.826544i
\(530\) −2.66890 0.123268i −0.115929 0.00535441i
\(531\) −3.67988 25.1336i −0.159693 1.09071i
\(532\) 18.4147 0.798381
\(533\) 26.9709 12.0082i 1.16824 0.520134i
\(534\) −4.11645 + 4.76303i −0.178136 + 0.206117i
\(535\) 6.19328 + 3.10737i 0.267759 + 0.134344i
\(536\) 17.6956 19.6530i 0.764334 0.848879i
\(537\) 7.74593 + 1.48254i 0.334261 + 0.0639765i
\(538\) 10.5426 + 11.7088i 0.454524 + 0.504800i
\(539\) 5.62766 + 17.3202i 0.242400 + 0.746032i
\(540\) 19.6804 + 3.87896i 0.846909 + 0.166924i
\(541\) −4.62861 + 14.2454i −0.199000 + 0.612458i 0.800907 + 0.598789i \(0.204351\pi\)
−0.999907 + 0.0136691i \(0.995649\pi\)
\(542\) 4.49065 1.99937i 0.192890 0.0858801i
\(543\) 4.14111 + 32.9429i 0.177712 + 1.41372i
\(544\) 0.0541832 0.515518i 0.00232308 0.0221027i
\(545\) −4.38846 + 4.44327i −0.187981 + 0.190329i
\(546\) 15.1372 3.54059i 0.647812 0.151523i
\(547\) −1.39143 13.2386i −0.0594932 0.566040i −0.983148 0.182813i \(-0.941480\pi\)
0.923654 0.383226i \(-0.125187\pi\)
\(548\) −3.30998 10.1871i −0.141395 0.435170i
\(549\) 2.81483 10.0340i 0.120134 0.428240i
\(550\) 2.37857 + 10.5450i 0.101423 + 0.449640i
\(551\) 10.7139 18.5570i 0.456427 0.790555i
\(552\) −5.46167 3.80093i −0.232464 0.161778i
\(553\) −44.3427 19.7427i −1.88564 0.839543i
\(554\) 4.89413 + 2.17901i 0.207932 + 0.0925772i
\(555\) 11.6557 + 0.301064i 0.494756 + 0.0127794i
\(556\) 9.01119 4.01204i 0.382160 0.170148i
\(557\) −11.7342 −0.497192 −0.248596 0.968607i \(-0.579969\pi\)
−0.248596 + 0.968607i \(0.579969\pi\)
\(558\) 3.55107 + 1.41102i 0.150329 + 0.0597331i
\(559\) 17.6444 54.3039i 0.746279 2.29681i
\(560\) −17.7788 4.64574i −0.751289 0.196318i
\(561\) 0.0604900 0.715091i 0.00255389 0.0301912i
\(562\) −0.774049 + 0.164529i −0.0326513 + 0.00694025i
\(563\) 1.67720 0.356499i 0.0706854 0.0150247i −0.172433 0.985021i \(-0.555163\pi\)
0.243119 + 0.969997i \(0.421830\pi\)
\(564\) −25.2028 + 11.8407i −1.06123 + 0.498582i
\(565\) 18.0376 + 4.71339i 0.758849 + 0.198294i
\(566\) −3.85280 + 11.8577i −0.161945 + 0.498416i
\(567\) 18.4365 24.1657i 0.774261 1.01487i
\(568\) 16.2663 0.682520
\(569\) 15.7340 7.00522i 0.659603 0.293674i −0.0495050 0.998774i \(-0.515764\pi\)
0.709108 + 0.705100i \(0.249098\pi\)
\(570\) 3.34110 5.45653i 0.139943 0.228549i
\(571\) −0.892675 0.397445i −0.0373573 0.0166325i 0.387973 0.921671i \(-0.373175\pi\)
−0.425330 + 0.905038i \(0.639842\pi\)
\(572\) 33.1207 + 14.7463i 1.38485 + 0.616574i
\(573\) 2.56709 30.3472i 0.107242 1.26777i
\(574\) 5.13249 8.88973i 0.214226 0.371050i
\(575\) −9.81297 0.908397i −0.409229 0.0378828i
\(576\) 6.28353 1.60511i 0.261814 0.0668797i
\(577\) −1.42881 4.39743i −0.0594822 0.183067i 0.916900 0.399116i \(-0.130683\pi\)
−0.976383 + 0.216049i \(0.930683\pi\)
\(578\) 0.928927 + 8.83815i 0.0386383 + 0.367618i
\(579\) 9.91987 32.7834i 0.412256 1.36243i
\(580\) −18.4044 + 18.6343i −0.764201 + 0.773745i
\(581\) 2.18968 20.8334i 0.0908433 0.864316i
\(582\) 1.26046 0.955522i 0.0522477 0.0396076i
\(583\) −8.62547 + 3.84031i −0.357231 + 0.159049i
\(584\) −6.39992 + 19.6969i −0.264831 + 0.815065i
\(585\) −10.7101 + 32.3563i −0.442808 + 1.33777i
\(586\) 0.0724213 + 0.222890i 0.00299170 + 0.00920749i
\(587\) −26.1074 28.9952i −1.07757 1.19676i −0.979471 0.201584i \(-0.935391\pi\)
−0.0980972 0.995177i \(-0.531276\pi\)
\(588\) −8.61493 + 9.96812i −0.355274 + 0.411078i
\(589\) −5.14616 + 5.71539i −0.212044 + 0.235499i
\(590\) 8.85163 + 4.44115i 0.364416 + 0.182839i
\(591\) 1.02577 + 0.196329i 0.0421946 + 0.00807590i
\(592\) 6.69204 2.97949i 0.275041 0.122456i
\(593\) −0.233927 −0.00960624 −0.00480312 0.999988i \(-0.501529\pi\)
−0.00480312 + 0.999988i \(0.501529\pi\)
\(594\) −10.8257 + 3.00111i −0.444185 + 0.123137i
\(595\) −0.756206 0.0349267i −0.0310014 0.00143186i
\(596\) 3.80914 + 36.2416i 0.156028 + 1.48451i
\(597\) −22.2530 23.7262i −0.910754 0.971049i
\(598\) 3.50492 3.89261i 0.143327 0.159181i
\(599\) 17.3587 + 30.0662i 0.709258 + 1.22847i 0.965133 + 0.261761i \(0.0843032\pi\)
−0.255875 + 0.966710i \(0.582363\pi\)
\(600\) −12.1679 + 11.6996i −0.496752 + 0.477634i
\(601\) −15.4400 + 26.7429i −0.629811 + 1.09086i 0.357779 + 0.933806i \(0.383534\pi\)
−0.987589 + 0.157058i \(0.949799\pi\)
\(602\) −6.13479 18.8809i −0.250035 0.769530i
\(603\) 40.1251 + 6.83734i 1.63402 + 0.278438i
\(604\) −24.7068 + 17.9505i −1.00530 + 0.730396i
\(605\) 8.62724 + 10.5196i 0.350747 + 0.427682i
\(606\) 11.2333 0.228404i 0.456323 0.00927829i
\(607\) −3.80766 6.59506i −0.154548 0.267685i 0.778346 0.627835i \(-0.216059\pi\)
−0.932894 + 0.360150i \(0.882725\pi\)
\(608\) 1.70714 16.2424i 0.0692338 0.658715i
\(609\) 13.0287 + 37.4875i 0.527951 + 1.51907i
\(610\) 2.57644 + 3.14158i 0.104317 + 0.127199i
\(611\) −14.6207 44.9978i −0.591489 1.82041i
\(612\) 0.465315 0.230273i 0.0188092 0.00930822i
\(613\) −9.39803 + 28.9242i −0.379583 + 1.16824i 0.560752 + 0.827984i \(0.310512\pi\)
−0.940334 + 0.340252i \(0.889488\pi\)
\(614\) −3.06676 0.651860i −0.123764 0.0263069i
\(615\) 10.7456 + 19.7741i 0.433303 + 0.797367i
\(616\) 26.6143 5.65704i 1.07232 0.227928i
\(617\) −4.85610 + 46.2027i −0.195499 + 1.86005i 0.254565 + 0.967056i \(0.418068\pi\)
−0.450064 + 0.892996i \(0.648599\pi\)
\(618\) −0.989882 7.87460i −0.0398189 0.316763i
\(619\) 11.6372 5.18120i 0.467737 0.208250i −0.159314 0.987228i \(-0.550928\pi\)
0.627051 + 0.778978i \(0.284262\pi\)
\(620\) 7.85187 5.16862i 0.315339 0.207577i
\(621\) 0.447719 10.2317i 0.0179663 0.410586i
\(622\) 9.42090 6.84469i 0.377744 0.274447i
\(623\) 22.9550 + 4.87924i 0.919673 + 0.195482i
\(624\) 2.67074 + 21.2460i 0.106915 + 0.850521i
\(625\) −7.13289 + 23.9608i −0.285316 + 0.958434i
\(626\) −0.919333 1.59233i −0.0367439 0.0636423i
\(627\) 1.90585 22.5303i 0.0761124 0.899772i
\(628\) −0.176497 1.67925i −0.00704298 0.0670095i
\(629\) 0.244143 0.177381i 0.00973463 0.00707263i
\(630\) 3.59996 + 11.2902i 0.143426 + 0.449813i
\(631\) −31.3529 22.7792i −1.24814 0.906827i −0.250028 0.968239i \(-0.580440\pi\)
−0.998113 + 0.0614115i \(0.980440\pi\)
\(632\) −14.0068 + 24.2605i −0.557162 + 0.965032i
\(633\) −28.7451 + 0.584466i −1.14251 + 0.0232305i
\(634\) −2.10960 + 0.448409i −0.0837828 + 0.0178086i
\(635\) −2.93438 + 19.3014i −0.116447 + 0.765954i
\(636\) −5.60653 3.90175i −0.222313 0.154714i
\(637\) −14.9792 16.6360i −0.593496 0.659144i
\(638\) 4.53269 13.9502i 0.179451 0.552293i
\(639\) 13.3890 + 21.1551i 0.529662 + 0.836883i
\(640\) −9.04479 + 24.0067i −0.357527 + 0.948950i
\(641\) 22.4290 + 24.9100i 0.885894 + 0.983885i 0.999954 0.00958888i \(-0.00305228\pi\)
−0.114060 + 0.993474i \(0.536386\pi\)
\(642\) −1.45285 2.40226i −0.0573393 0.0948097i
\(643\) −12.4860 21.6263i −0.492399 0.852860i 0.507563 0.861615i \(-0.330546\pi\)
−0.999962 + 0.00875512i \(0.997213\pi\)
\(644\) −1.20123 + 11.4290i −0.0473352 + 0.450365i
\(645\) 42.3262 + 10.1457i 1.66659 + 0.399486i
\(646\) −0.0173100 0.164693i −0.000681051 0.00647977i
\(647\) −17.8362 + 12.9588i −0.701214 + 0.509462i −0.880327 0.474367i \(-0.842677\pi\)
0.179114 + 0.983828i \(0.442677\pi\)
\(648\) −12.7583 12.0399i −0.501192 0.472973i
\(649\) 34.9976 1.37377
\(650\) −7.94321 10.6523i −0.311558 0.417818i
\(651\) −1.77662 14.1332i −0.0696312 0.553923i
\(652\) −14.4299 + 16.0260i −0.565117 + 0.627627i
\(653\) −5.01165 2.23133i −0.196121 0.0873186i 0.306326 0.951927i \(-0.400900\pi\)
−0.502447 + 0.864608i \(0.667567\pi\)
\(654\) 2.46378 0.576280i 0.0963416 0.0225343i
\(655\) −1.12651 + 1.75847i −0.0440164 + 0.0687091i
\(656\) 11.4389 + 8.31087i 0.446615 + 0.324485i
\(657\) −30.8846 + 7.88941i −1.20492 + 0.307795i
\(658\) −13.3087 9.66932i −0.518826 0.376949i
\(659\) 13.5361 + 15.0334i 0.527292 + 0.585617i 0.946674 0.322193i \(-0.104420\pi\)
−0.419382 + 0.907810i \(0.637753\pi\)
\(660\) −9.21605 + 26.0548i −0.358734 + 1.01418i
\(661\) 9.09626 10.1024i 0.353803 0.392939i −0.539802 0.841792i \(-0.681501\pi\)
0.893605 + 0.448854i \(0.148168\pi\)
\(662\) −8.03410 + 1.70770i −0.312254 + 0.0663717i
\(663\) 0.289597 + 0.833256i 0.0112470 + 0.0323610i
\(664\) −11.8257 2.51364i −0.458928 0.0975481i
\(665\) −23.8257 1.10043i −0.923921 0.0426729i
\(666\) −3.93153 2.61907i −0.152344 0.101487i
\(667\) 10.8184 + 7.86001i 0.418889 + 0.304341i
\(668\) 16.9791 29.4086i 0.656940 1.13785i
\(669\) −2.62613 4.34227i −0.101532 0.167882i
\(670\) −11.1512 + 11.2905i −0.430810 + 0.436190i
\(671\) 13.1169 + 5.84001i 0.506371 + 0.225451i
\(672\) 20.6931 + 22.0631i 0.798255 + 0.851102i
\(673\) −23.2455 4.94099i −0.896049 0.190461i −0.263205 0.964740i \(-0.584779\pi\)
−0.632845 + 0.774279i \(0.718113\pi\)
\(674\) −13.5959 −0.523693
\(675\) −25.2314 6.19481i −0.971158 0.238439i
\(676\) −22.1225 −0.850865
\(677\) 34.3311 + 7.29729i 1.31945 + 0.280458i 0.813228 0.581946i \(-0.197708\pi\)
0.506222 + 0.862403i \(0.331042\pi\)
\(678\) −5.16740 5.50950i −0.198453 0.211591i
\(679\) −5.38650 2.39822i −0.206715 0.0920354i
\(680\) −0.0656667 + 0.431935i −0.00251820 + 0.0165640i
\(681\) 19.8219 + 32.7753i 0.759578 + 1.25595i
\(682\) −2.63232 + 4.55932i −0.100797 + 0.174585i
\(683\) 35.4803 + 25.7779i 1.35762 + 0.986365i 0.998593 + 0.0530363i \(0.0168899\pi\)
0.359023 + 0.933329i \(0.383110\pi\)
\(684\) 14.6606 7.25517i 0.560563 0.277408i
\(685\) 3.67382 + 13.3782i 0.140369 + 0.511155i
\(686\) 4.48220 + 0.952722i 0.171131 + 0.0363751i
\(687\) −10.3016 29.6406i −0.393029 1.13086i
\(688\) 26.7480 5.68547i 1.01976 0.216756i
\(689\) 7.76595 8.62497i 0.295859 0.328585i
\(690\) 3.16861 + 2.42957i 0.120627 + 0.0924921i
\(691\) −16.7862 18.6430i −0.638579 0.709214i 0.333794 0.942646i \(-0.391671\pi\)
−0.972373 + 0.233432i \(0.925004\pi\)
\(692\) 5.30102 + 3.85142i 0.201515 + 0.146409i
\(693\) 29.2638 + 29.9567i 1.11164 + 1.13796i
\(694\) 5.19545 + 3.77472i 0.197217 + 0.143286i
\(695\) −11.8988 + 4.65244i −0.451346 + 0.176477i
\(696\) 22.3028 5.21664i 0.845387 0.197736i
\(697\) 0.532129 + 0.236919i 0.0201558 + 0.00897395i
\(698\) 8.62800 9.58236i 0.326575 0.362698i
\(699\) 1.84825 + 14.7030i 0.0699071 + 0.556118i
\(700\) 27.8356 + 8.66389i 1.05209 + 0.327464i
\(701\) 4.91096 0.185485 0.0927423 0.995690i \(-0.470437\pi\)
0.0927423 + 0.995690i \(0.470437\pi\)
\(702\) 10.6563 8.78265i 0.402196 0.331480i
\(703\) 7.69220 5.58871i 0.290117 0.210782i
\(704\) 0.933989 + 8.88631i 0.0352010 + 0.334915i
\(705\) 33.3160 13.8138i 1.25475 0.520258i
\(706\) −1.39454 + 13.2681i −0.0524841 + 0.499353i
\(707\) −20.9421 36.2728i −0.787608 1.36418i
\(708\) 13.1025 + 21.6648i 0.492423 + 0.814214i
\(709\) −12.4749 13.8548i −0.468505 0.520328i 0.461865 0.886950i \(-0.347181\pi\)
−0.930370 + 0.366623i \(0.880514\pi\)
\(710\) −9.75039 0.450339i −0.365926 0.0169009i
\(711\) −43.0811 + 1.75264i −1.61567 + 0.0657291i
\(712\) 4.18536 12.8812i 0.156853 0.482744i
\(713\) −3.21152 3.56675i −0.120272 0.133576i
\(714\) 0.251750 + 0.175200i 0.00942152 + 0.00655671i
\(715\) −41.9716 21.0586i −1.56965 0.787545i
\(716\) −7.68904 + 1.63436i −0.287353 + 0.0610787i
\(717\) −36.8661 + 0.749590i −1.37679 + 0.0279939i
\(718\) −2.36788 + 4.10129i −0.0883686 + 0.153059i
\(719\) 12.2939 + 8.93208i 0.458487 + 0.333110i 0.792937 0.609303i \(-0.208551\pi\)
−0.334451 + 0.942413i \(0.608551\pi\)
\(720\) −15.9846 + 3.30596i −0.595713 + 0.123206i
\(721\) −23.9355 + 17.3902i −0.891405 + 0.647643i
\(722\) 0.493443 + 4.69480i 0.0183641 + 0.174722i
\(723\) −0.416225 + 4.92046i −0.0154796 + 0.182994i
\(724\) −16.5470 28.6602i −0.614963 1.06515i
\(725\) 24.9258 23.0099i 0.925723 0.854566i
\(726\) −0.687501 5.46913i −0.0255156 0.202979i
\(727\) 31.3004 + 6.65310i 1.16087 + 0.246750i 0.747783 0.663943i \(-0.231118\pi\)
0.413084 + 0.910693i \(0.364452\pi\)
\(728\) −27.0582 + 19.6589i −1.00284 + 0.728608i
\(729\) 5.15697 26.5029i 0.190999 0.981590i
\(730\) 4.38157 11.6296i 0.162169 0.430430i
\(731\) 1.02914 0.458204i 0.0380643 0.0169473i
\(732\) 1.29555 + 10.3062i 0.0478850 + 0.380930i
\(733\) −2.13492 + 20.3124i −0.0788549 + 0.750254i 0.881634 + 0.471935i \(0.156444\pi\)
−0.960488 + 0.278320i \(0.910223\pi\)
\(734\) 12.0910 2.57002i 0.446286 0.0948611i
\(735\) 11.7420 12.3823i 0.433110 0.456728i
\(736\) 9.96935 + 2.11905i 0.367475 + 0.0781092i
\(737\) −17.3297 + 53.3353i −0.638347 + 1.96463i
\(738\) 0.583715 9.09955i 0.0214868 0.334959i
\(739\) −9.35272 28.7847i −0.344045 1.05886i −0.962093 0.272722i \(-0.912076\pi\)
0.618048 0.786141i \(-0.287924\pi\)
\(740\) −10.8236 + 4.23204i −0.397883 + 0.155573i
\(741\) 9.12429 + 26.2533i 0.335189 + 0.964439i
\(742\) 0.421804 4.01320i 0.0154849 0.147329i
\(743\) −2.81735 4.87980i −0.103359 0.179022i 0.809708 0.586833i \(-0.199626\pi\)
−0.913066 + 0.407811i \(0.866292\pi\)
\(744\) −8.21925 + 0.167120i −0.301332 + 0.00612691i
\(745\) −2.76268 47.1183i −0.101217 1.72628i
\(746\) 0.697250 0.506582i 0.0255281 0.0185473i
\(747\) −6.46482 17.4489i −0.236535 0.638423i
\(748\) 0.221041 + 0.680295i 0.00808207 + 0.0248741i
\(749\) −5.23275 + 9.06338i −0.191200 + 0.331169i
\(750\) 7.61760 6.67612i 0.278156 0.243777i
\(751\) 11.3957 + 19.7379i 0.415835 + 0.720247i 0.995516 0.0945967i \(-0.0301561\pi\)
−0.579681 + 0.814844i \(0.696823\pi\)
\(752\) 15.1621 16.8392i 0.552904 0.614062i
\(753\) 1.83432 + 1.95576i 0.0668464 + 0.0712718i
\(754\) 1.88469 + 17.9316i 0.0686363 + 0.653031i
\(755\) 33.0392 21.7486i 1.20242 0.791513i
\(756\) −7.58846 + 29.3307i −0.275990 + 1.06675i
\(757\) 41.0082 1.49047 0.745234 0.666803i \(-0.232338\pi\)
0.745234 + 0.666803i \(0.232338\pi\)
\(758\) −10.2347 + 4.55678i −0.371741 + 0.165510i
\(759\) 13.8589 + 2.65255i 0.503047 + 0.0962815i
\(760\) −2.06895 + 13.6089i −0.0750488 + 0.493648i
\(761\) −2.79394 + 3.10299i −0.101280 + 0.112483i −0.791654 0.610970i \(-0.790780\pi\)
0.690373 + 0.723453i \(0.257446\pi\)
\(762\) 5.17229 5.98472i 0.187372 0.216804i
\(763\) −6.31149 7.00962i −0.228491 0.253765i
\(764\) 9.38062 + 28.8706i 0.339379 + 1.04450i
\(765\) −0.615803 + 0.270129i −0.0222644 + 0.00976653i
\(766\) −1.83766 + 5.65574i −0.0663974 + 0.204350i
\(767\) −39.3006 + 17.4978i −1.41906 + 0.631807i
\(768\) 2.31541 1.75525i 0.0835501 0.0633372i
\(769\) 0.728689 6.93301i 0.0262772 0.250011i −0.973496 0.228705i \(-0.926551\pi\)
0.999773 0.0213059i \(-0.00678240\pi\)
\(770\) −16.1098 + 2.65412i −0.580556 + 0.0956480i