Properties

Label 225.2.q.a.121.13
Level $225$
Weight $2$
Character 225.121
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 121.13
Character \(\chi\) \(=\) 225.121
Dual form 225.2.q.a.106.13

$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

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 −0.385215 0.922827i \(-0.625873\pi\)
0.0234357 + 0.999725i \(0.492539\pi\)
\(3\) 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 −0.985817 0.167821i \(-0.946327\pi\)
0.347571 0.937654i \(-0.387006\pi\)
\(8\) 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 −0.772117 0.635481i \(-0.780802\pi\)
−0.446890 + 0.894589i \(0.647469\pi\)
\(12\) −0.981649 + 2.82450i −0.283378 + 0.815362i
\(13\) 4.96974 + 1.05635i 1.37836 + 0.292979i 0.836719 0.547632i \(-0.184471\pi\)
0.541639 + 0.840611i \(0.317804\pi\)
\(14\) 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 −0.577907 0.816102i \(-0.696130\pi\)
0.597576 + 0.801812i \(0.296130\pi\)
\(18\) 0.423842 + 1.51087i 0.0999006 + 0.356115i
\(19\) 2.55513 1.85641i 0.586188 0.425890i −0.254762 0.967004i \(-0.581997\pi\)
0.840950 + 0.541113i \(0.181997\pi\)
\(20\) −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 0.589786 0.807559i \(-0.299212\pi\)
−0.864785 + 0.502143i \(0.832545\pi\)
\(24\) 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 0.706552 + 0.707661i \(0.250250\pi\)
−0.838243 + 0.545297i \(0.816417\pi\)
\(30\) −0.159663 + 2.01952i −0.0291503 + 0.368712i
\(31\) −0.254537 2.42176i −0.0457162 0.434961i −0.993310 0.115482i \(-0.963159\pi\)
0.947593 0.319479i \(-0.103508\pi\)
\(32\) −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 0.997946 0.0640571i \(-0.0204040\pi\)
−0.845007 + 0.534755i \(0.820404\pi\)
\(38\) −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 0.629108 0.777318i \(-0.283420\pi\)
0.258555 + 0.965996i \(0.416754\pi\)
\(42\) 3.05909 + 0.0621998i 0.472028 + 0.00959763i
\(43\) 5.61908 + 9.73253i 0.856902 + 1.48420i 0.874869 + 0.484359i \(0.160947\pi\)
−0.0179676 + 0.999839i \(0.505720\pi\)
\(44\) 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 0.658971 + 0.752168i \(0.270992\pi\)
−0.800955 + 0.598724i \(0.795675\pi\)
\(48\) −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 0.707431 0.706783i \(-0.249854\pi\)
−0.453582 + 0.891214i \(0.649854\pi\)
\(54\) 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 −0.365643 0.930755i \(-0.619151\pi\)
−0.712604 + 0.701567i \(0.752484\pi\)
\(60\) 0.870382 + 6.62944i 0.112366 + 0.855857i
\(61\) −3.39787 + 0.722239i −0.435052 + 0.0924732i −0.420231 0.907417i \(-0.638051\pi\)
−0.0148208 + 0.999890i \(0.504718\pi\)
\(62\) 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 0.643132 + 0.765756i \(0.277635\pi\)
−0.469868 + 0.882737i \(0.655699\pi\)
\(68\) −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 0.911283 0.411780i \(-0.135093\pi\)
−0.110024 + 0.993929i \(0.535093\pi\)
\(72\) −3.73283 4.50095i −0.439918 0.530442i
\(73\) 3.28345 10.1054i 0.384299 1.18275i −0.552689 0.833387i \(-0.686398\pi\)
0.936988 0.349362i \(-0.113602\pi\)
\(74\) −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 −0.500757 0.865588i \(-0.666945\pi\)
0.669780 0.742559i \(-0.266388\pi\)
\(80\) 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 0.0714586 0.997444i \(-0.477235\pi\)
−0.693430 + 0.720524i \(0.743901\pi\)
\(84\) 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 0.770405 + 0.637555i \(0.220054\pi\)
−0.998016 + 0.0629597i \(0.979946\pi\)
\(90\) 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 −0.981343 0.192264i \(-0.938417\pi\)
0.999872 + 0.0159700i \(0.00508364\pi\)
\(98\) 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 −0.990028 0.140868i \(-0.955011\pi\)
0.373019 0.927824i \(-0.378323\pi\)
\(102\) 0.00765492 + 0.0904936i 0.000757950 + 0.00896020i
\(103\) 8.00291 3.56312i 0.788550 0.351085i 0.0273697 0.999625i \(-0.491287\pi\)
0.761180 + 0.648540i \(0.224620\pi\)
\(104\) 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 0.901178 0.433449i \(-0.142704\pi\)
−0.983843 + 0.179032i \(0.942704\pi\)
\(110\) 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 0.574852 0.818257i \(-0.305060\pi\)
0.192338 + 0.981329i \(0.438393\pi\)
\(114\) 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 −0.757093 0.653307i \(-0.773381\pi\)
0.996505 0.0835285i \(-0.0266189\pi\)
\(128\) 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 0.989429 0.145017i \(-0.0463238\pi\)
−0.997959 + 0.0638655i \(0.979657\pi\)
\(132\) 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 −0.539222 0.842163i \(-0.681282\pi\)
0.893914 + 0.448238i \(0.147948\pi\)
\(138\) 1.75382 0.335676i 0.149295 0.0285746i
\(139\) −3.82314 4.24603i −0.324275 0.360143i 0.558861 0.829261i \(-0.311239\pi\)
−0.883136 + 0.469118i \(0.844572\pi\)
\(140\) 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 0.00279771 + 0.999996i \(0.499109\pi\)
−0.867421 + 0.497575i \(0.834224\pi\)
\(150\) 1.70601 + 4.19634i 0.139295 + 0.342629i
\(151\) 8.84475 + 15.3196i 0.719776 + 1.24669i 0.961088 + 0.276241i \(0.0890888\pi\)
−0.241313 + 0.970447i \(0.577578\pi\)
\(152\) 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 −0.845851 0.533419i \(-0.820907\pi\)
0.884880 + 0.465820i \(0.154240\pi\)
\(158\) 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 0.980656 + 0.195740i \(0.0627107\pi\)
−0.678314 + 0.734772i \(0.737289\pi\)
\(164\) −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 −0.724691 0.689074i \(-0.758018\pi\)
0.565588 0.824688i \(-0.308649\pi\)
\(168\) −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 −0.346864 0.937916i \(-0.612753\pi\)
0.0646091 + 0.997911i \(0.479420\pi\)
\(174\) −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 0.716879 0.697198i \(-0.245570\pi\)
−0.441547 + 0.897238i \(0.645570\pi\)
\(180\) 9.40654 + 6.75560i 0.701122 + 0.503533i
\(181\) 15.5083 11.2674i 1.15272 0.837501i 0.163881 0.986480i \(-0.447599\pi\)
0.988840 + 0.148979i \(0.0475988\pi\)
\(182\) 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 −0.999052 0.0435258i \(-0.986141\pi\)
0.147717 + 0.989030i \(0.452808\pi\)
\(192\) 1.80584 + 3.28004i 0.130325 + 0.236716i
\(193\) −9.88753 + 17.1257i −0.711720 + 1.23273i 0.252491 + 0.967599i \(0.418750\pi\)
−0.964211 + 0.265136i \(0.914583\pi\)
\(194\) 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 0.605028 0.796205i \(-0.293162\pi\)
−0.570272 + 0.821456i \(0.693162\pi\)
\(198\) −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 0.227566 0.973763i \(-0.426923\pi\)
−0.992215 + 0.124533i \(0.960257\pi\)
\(212\) −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 −0.302863 0.953034i \(-0.597943\pi\)
0.110954 + 0.993825i \(0.464609\pi\)
\(224\) 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 0.576624 0.817010i \(-0.304370\pi\)
0.859080 + 0.511842i \(0.171037\pi\)
\(228\) 2.73519 + 9.03931i 0.181142 + 0.598643i
\(229\) −16.5508 + 7.36890i −1.09371 + 0.486950i −0.872668 0.488314i \(-0.837612\pi\)
−0.221041 + 0.975265i \(0.570945\pi\)
\(230\) 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 −0.337507 0.941323i \(-0.609584\pi\)
0.790956 + 0.611873i \(0.209584\pi\)
\(234\) 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 −0.999651 0.0264295i \(-0.991586\pi\)
0.0782072 0.996937i \(-0.475080\pi\)
\(240\) −4.92119 8.03708i −0.317662 0.518791i
\(241\) 1.90768 2.11869i 0.122884 0.136477i −0.678563 0.734542i \(-0.737397\pi\)
0.801447 + 0.598065i \(0.204064\pi\)
\(242\) −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 −0.978850 0.204578i \(-0.934418\pi\)
0.666595 + 0.745420i \(0.267751\pi\)
\(258\) −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 −0.367077 0.930191i \(-0.619641\pi\)
0.963465 + 0.267834i \(0.0863080\pi\)
\(264\) 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 −0.510187 + 0.860064i \(0.670424\pi\)
−0.975626 + 0.219442i \(0.929576\pi\)
\(270\) 6.07678 + 0.0901608i 0.369821 + 0.00548701i
\(271\) −7.60294 5.52386i −0.461846 0.335551i 0.332409 0.943135i \(-0.392139\pi\)
−0.794255 + 0.607585i \(0.792139\pi\)
\(272\) 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 −0.498796 0.866719i \(-0.666224\pi\)
−0.103147 + 0.994666i \(0.532891\pi\)
\(278\) 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 0.447547 0.894260i \(-0.352298\pi\)
−0.365098 + 0.930969i \(0.618964\pi\)
\(282\) −6.72319 5.09667i −0.400360 0.303502i
\(283\) 2.49158 + 23.7058i 0.148109 + 1.40916i 0.775938 + 0.630810i \(0.217277\pi\)
−0.627829 + 0.778351i \(0.716056\pi\)
\(284\) −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 −0.872495 0.488623i \(-0.837499\pi\)
0.859407 + 0.511292i \(0.170833\pi\)
\(294\) −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 0.154037 0.988065i \(-0.450772\pi\)
−0.998754 + 0.0499127i \(0.984106\pi\)
\(312\) 5.63103 16.2021i 0.318794 0.917266i
\(313\) 2.35212 2.61229i 0.132949 0.147655i −0.672994 0.739648i \(-0.734992\pi\)
0.805943 + 0.591993i \(0.201659\pi\)
\(314\) −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 0.509783 0.860303i \(-0.329726\pi\)
−0.298219 + 0.954498i \(0.596393\pi\)
\(318\) −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 0.761155 0.648569i \(-0.224632\pi\)
0.0273314 + 0.999626i \(0.491299\pi\)
\(332\) 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 0.839325 0.543629i \(-0.182950\pi\)
0.545648 + 0.838014i \(0.316284\pi\)
\(338\) −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 −0.685071 0.728476i \(-0.740229\pi\)
0.0829607 + 0.996553i \(0.473562\pi\)
\(348\) −18.3618 8.62664i −0.984295 0.462436i
\(349\) −12.3258 21.3489i −0.659784 1.14278i −0.980671 0.195662i \(-0.937314\pi\)
0.320888 0.947117i \(-0.396019\pi\)
\(350\) 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 0.659376 + 0.751813i \(0.270821\pi\)
−0.801278 + 0.598292i \(0.795846\pi\)
\(354\) 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 0.997344 0.0728380i \(-0.0232056\pi\)
−0.849681 + 0.527297i \(0.823206\pi\)
\(360\) −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 −0.243316 0.969947i \(-0.578235\pi\)
−0.883621 + 0.468202i \(0.844902\pi\)
\(368\) −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 0.713925 0.700222i \(-0.246916\pi\)
−0.771012 + 0.636821i \(0.780249\pi\)
\(374\) 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 0.935898 0.352271i \(-0.114590\pi\)
−0.0458208 + 0.998950i \(0.514590\pi\)
\(380\) −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 0.982005 + 0.188856i \(0.0604778\pi\)
−0.921280 + 0.388899i \(0.872856\pi\)
\(384\) −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 0.167091 0.985941i \(-0.446563\pi\)
0.553664 + 0.832740i \(0.313229\pi\)
\(390\) −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 −0.155780 0.987792i \(-0.549789\pi\)
−0.987584 + 0.157089i \(0.949789\pi\)
\(398\) 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 −0.957463 0.288555i \(-0.906825\pi\)
0.728627 + 0.684910i \(0.240159\pi\)
\(402\) −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 −0.196802 0.980443i \(-0.563056\pi\)
−0.578570 + 0.815633i \(0.696389\pi\)
\(410\) −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 0.764032 + 0.645179i \(0.223217\pi\)
−0.613196 + 0.789931i \(0.710116\pi\)
\(420\) 17.9201 13.7405i 0.874412 0.670465i
\(421\) −2.80431 + 26.6813i −0.136674 + 1.30037i 0.684216 + 0.729279i \(0.260145\pi\)
−0.820890 + 0.571086i \(0.806522\pi\)
\(422\) 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 −0.384675 0.923052i \(-0.625686\pi\)
0.759004 + 0.651086i \(0.225686\pi\)
\(432\) −12.5046 + 1.87007i −0.601629 + 0.0899736i
\(433\) 10.7896 7.83912i 0.518516 0.376724i −0.297529 0.954713i \(-0.596162\pi\)
0.816045 + 0.577989i \(0.196162\pi\)
\(434\) 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 −0.0344588 0.999406i \(-0.510971\pi\)
0.375015 + 0.927019i \(0.377637\pi\)
\(440\) −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 0.692359 0.721554i \(-0.256572\pi\)
−0.971063 + 0.238823i \(0.923238\pi\)
\(444\) −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 0.970092 0.242739i \(-0.0780457\pi\)
−0.695264 + 0.718755i \(0.744712\pi\)
\(458\) 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 0.406495 0.913653i \(-0.366751\pi\)
0.742968 + 0.669327i \(0.233418\pi\)
\(462\) −12.4213 + 2.37740i −0.577893 + 0.110607i
\(463\) −20.1283 4.27840i −0.935442 0.198834i −0.285119 0.958492i \(-0.592033\pi\)
−0.650323 + 0.759658i \(0.725366\pi\)
\(464\) 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 −0.354277 0.935141i \(-0.615273\pi\)
0.779894 + 0.625912i \(0.215273\pi\)
\(468\) 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 −0.166284 0.986078i \(-0.553177\pi\)
0.367668 0.929957i \(-0.380156\pi\)
\(480\) 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 0.998096 + 0.0616809i \(0.0196461\pi\)
−0.771221 + 0.636567i \(0.780354\pi\)
\(488\) −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 0.121668 0.992571i \(-0.461176\pi\)
−0.292565 + 0.956246i \(0.594509\pi\)
\(492\) −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 −0.957856 0.287250i \(-0.907259\pi\)
0.727694 + 0.685902i \(0.240592\pi\)
\(500\) 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 0.890220 0.455531i \(-0.150550\pi\)
−0.158142 + 0.987416i \(0.550550\pi\)
\(504\) −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 −0.684014 0.729468i \(-0.739767\pi\)
−0.921580 + 0.388189i \(0.873101\pi\)
\(510\) 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 0.307513 0.951544i \(-0.400503\pi\)
−0.809946 + 0.586505i \(0.800503\pi\)
\(522\) −10.4950 + 1.78835i −0.459353 + 0.0782741i
\(523\) −3.47821 + 10.7048i −0.152092 + 0.468090i −0.997855 0.0654688i \(-0.979146\pi\)
0.845763 + 0.533559i \(0.179146\pi\)
\(524\) 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 −0.999907 0.0136691i \(-0.995649\pi\)
0.800907 0.598789i \(-0.204351\pi\)
\(542\) 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 0.923654 + 0.383226i \(0.125187\pi\)
−0.983148 + 0.182813i \(0.941480\pi\)
\(548\) −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 0.243119 0.969997i \(-0.421830\pi\)
−0.172433 + 0.985021i \(0.555163\pi\)
\(564\) −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 0.709108 0.705100i \(-0.249098\pi\)
−0.0495050 + 0.998774i \(0.515764\pi\)
\(570\) 3.34110 + 5.45653i 0.139943 + 0.228549i
\(571\) −0.892675 + 0.397445i −0.0373573 + 0.0166325i −0.425330 0.905038i \(-0.639842\pi\)
0.387973 + 0.921671i \(0.373175\pi\)
\(572\) 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 −0.976383 0.216049i \(-0.930683\pi\)
0.916900 + 0.399116i \(0.130683\pi\)
\(578\) 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 −0.0980972 + 0.995177i \(0.531276\pi\)
−0.979471 + 0.201584i \(0.935391\pi\)
\(588\) −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 −0.255875 0.966710i \(-0.582363\pi\)
0.965133 0.261761i \(-0.0843032\pi\)
\(600\) −12.1679 11.6996i −0.496752 0.477634i
\(601\) −15.4400 26.7429i −0.629811 1.09086i −0.987589 0.157058i \(-0.949799\pi\)
0.357779 0.933806i \(-0.383534\pi\)
\(602\) −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 −0.932894 0.360150i \(-0.882725\pi\)
0.778346 + 0.627835i \(0.216059\pi\)
\(608\) 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 −0.940334 0.340252i \(-0.889488\pi\)
0.560752 0.827984i \(-0.310512\pi\)
\(614\) −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 −0.450064 0.892996i \(-0.648599\pi\)
0.254565 0.967056i \(-0.418068\pi\)
\(618\) −0.989882 + 7.87460i −0.0398189 + 0.316763i
\(619\) 11.6372 + 5.18120i 0.467737 + 0.208250i 0.627051 0.778978i \(-0.284262\pi\)
−0.159314 + 0.987228i \(0.550928\pi\)
\(620\) 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 −0.998113 0.0614115i \(-0.980440\pi\)
−0.250028 + 0.968239i \(0.580440\pi\)
\(632\) −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 −0.114060 0.993474i \(-0.536386\pi\)
0.999954 + 0.00958888i \(0.00305228\pi\)
\(642\) −1.45285 + 2.40226i −0.0573393 + 0.0948097i
\(643\) −12.4860 + 21.6263i −0.492399 + 0.852860i −0.999962 0.00875512i \(-0.997213\pi\)
0.507563 + 0.861615i \(0.330546\pi\)
\(644\) −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 0.179114 0.983828i \(-0.442677\pi\)
−0.880327 + 0.474367i \(0.842677\pi\)
\(648\) −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 −0.502447 0.864608i \(-0.667567\pi\)
0.306326 + 0.951927i \(0.400900\pi\)
\(654\) 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 −0.419382 0.907810i \(-0.637753\pi\)
0.946674 + 0.322193i \(0.104420\pi\)
\(660\) −9.21605 26.0548i −0.358734 1.01418i
\(661\) 9.09626 + 10.1024i 0.353803 + 0.392939i 0.893605 0.448854i \(-0.148168\pi\)
−0.539802 + 0.841792i \(0.681501\pi\)
\(662\) −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 −0.632845 0.774279i \(-0.718113\pi\)
−0.263205 + 0.964740i \(0.584779\pi\)
\(674\) −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 0.506222 0.862403i \(-0.331042\pi\)
0.813228 + 0.581946i \(0.197708\pi\)
\(678\) −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 0.359023 0.933329i \(-0.383110\pi\)
0.998593 0.0530363i \(-0.0168899\pi\)
\(684\) 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 −0.972373 0.233432i \(-0.925004\pi\)
0.333794 + 0.942646i \(0.391671\pi\)
\(692\) 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 −0.930370 0.366623i \(-0.880514\pi\)
0.461865 + 0.886950i \(0.347181\pi\)
\(710\) −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 −0.334451 0.942413i \(-0.608551\pi\)
0.792937 + 0.609303i \(0.208551\pi\)
\(720\) −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 0.413084 0.910693i \(-0.364452\pi\)
0.747783 + 0.663943i \(0.231118\pi\)
\(728\) −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 −0.960488 0.278320i \(-0.910223\pi\)
0.881634 0.471935i \(-0.156444\pi\)
\(734\) 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 0.618048 + 0.786141i \(0.287924\pi\)
−0.962093 + 0.272722i \(0.912076\pi\)
\(740\) −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 −0.913066 0.407811i \(-0.866292\pi\)
0.809708 + 0.586833i \(0.199626\pi\)
\(744\) −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 −0.579681 0.814844i \(-0.696823\pi\)
0.995516 + 0.0945967i \(0.0301561\pi\)
\(752\) 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 0.690373 0.723453i \(-0.257446\pi\)
−0.791654 + 0.610970i \(0.790780\pi\)
\(762\) 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 0.999773 + 0.0213059i \(0.00678240\pi\)
−0.973496 + 0.228705i \(0.926551\pi\)
\(770\) −16.1098 2.65412i −0.580556 0.0956480i