Properties

Label 370.2.v.a.289.6
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.6
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.362370 - 0.995603i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.23443 - 0.0855581i) q^{5} +1.05950i q^{6} +(1.06185 - 0.187234i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.43822 + 1.20681i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.362370 - 0.995603i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.23443 - 0.0855581i) q^{5} +1.05950i q^{6} +(1.06185 - 0.187234i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.43822 + 1.20681i) q^{9} +(-2.07042 + 0.844619i) q^{10} +(0.436261 - 0.755627i) q^{11} +(-0.362370 - 0.995603i) q^{12} +(-1.18263 + 0.992348i) q^{13} +(-0.933779 + 0.539117i) q^{14} +(0.724508 - 2.25561i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.626355 + 0.525574i) q^{17} +(-1.76424 - 0.642130i) q^{18} +(-0.570090 + 1.56631i) q^{19} +(1.65668 - 1.50181i) q^{20} +(0.198374 - 1.12503i) q^{21} +(-0.151512 + 0.859267i) q^{22} +(-2.32537 - 4.02766i) q^{23} +(0.681032 + 0.811623i) q^{24} +(4.98536 - 0.382347i) q^{25} +(0.771910 - 1.33699i) q^{26} +(4.47533 - 2.58383i) q^{27} +(0.693076 - 0.825976i) q^{28} +(-1.84171 - 1.06331i) q^{29} +(0.0906487 + 2.36738i) q^{30} -2.18324i q^{31} +(0.173648 + 0.984808i) q^{32} +(-0.594216 - 0.708159i) q^{33} +(-0.768338 - 0.279652i) q^{34} +(2.35662 - 0.509210i) q^{35} +1.87746 q^{36} +(4.86631 + 3.64952i) q^{37} -1.66683i q^{38} +(0.559434 + 1.53703i) q^{39} +(-1.04312 + 1.97785i) q^{40} +(1.27193 - 1.06727i) q^{41} +(0.198374 + 1.12503i) q^{42} +2.12972 q^{43} +(-0.151512 - 0.859267i) q^{44} +(3.31686 + 2.57348i) q^{45} +(3.56267 + 2.98944i) q^{46} +(4.23630 - 2.44583i) q^{47} +(-0.917552 - 0.529749i) q^{48} +(-5.48537 + 1.99651i) q^{49} +(-4.55394 + 2.06438i) q^{50} +(0.750235 - 0.433149i) q^{51} +(-0.268082 + 1.52037i) q^{52} +(-4.91073 - 0.865893i) q^{53} +(-3.32171 + 3.95866i) q^{54} +(0.910145 - 1.72572i) q^{55} +(-0.368778 + 1.01321i) q^{56} +(1.35284 + 1.13517i) q^{57} +(2.09432 + 0.369284i) q^{58} +(-10.8290 - 1.90944i) q^{59} +(-0.894872 - 2.19360i) q^{60} +(1.22233 + 1.45671i) q^{61} +(0.746712 + 2.05157i) q^{62} +(1.75314 + 1.01217i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.55761 + 2.31852i) q^{65} +(0.800585 + 0.462218i) q^{66} +(5.75930 - 1.01552i) q^{67} +0.817648 q^{68} +(-4.85259 + 0.855643i) q^{69} +(-2.04034 + 1.28451i) q^{70} +(-10.2016 - 3.71309i) q^{71} +(-1.76424 + 0.642130i) q^{72} +10.5379i q^{73} +(-5.82105 - 1.76505i) q^{74} +(1.42588 - 5.10199i) q^{75} +(0.570090 + 1.56631i) q^{76} +(0.321767 - 0.884048i) q^{77} +(-1.05139 - 1.25300i) q^{78} +(-4.86694 + 0.858174i) q^{79} +(0.303747 - 2.21534i) q^{80} +(0.0273076 + 0.154869i) q^{81} +(-0.830191 + 1.43793i) q^{82} +(-2.61137 + 3.11211i) q^{83} +(-0.571194 - 0.989337i) q^{84} +(1.44451 + 1.12077i) q^{85} +(-2.00128 + 0.728408i) q^{86} +(-1.72602 + 1.44830i) q^{87} +(0.436261 + 0.755627i) q^{88} +(-15.0870 - 2.66025i) q^{89} +(-3.99701 - 1.28385i) q^{90} +(-1.06998 + 1.27516i) q^{91} +(-4.37026 - 1.59065i) q^{92} +(-2.17364 - 0.791140i) q^{93} +(-3.14430 + 3.74723i) q^{94} +(-1.13982 + 3.54859i) q^{95} +(1.04340 + 0.183980i) q^{96} +(-5.51919 - 9.55952i) q^{97} +(4.47172 - 3.75221i) q^{98} +(1.53934 - 0.560273i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) 0.362370 0.995603i 0.209214 0.574812i −0.790055 0.613036i \(-0.789948\pi\)
0.999269 + 0.0382246i \(0.0121702\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 2.23443 0.0855581i 0.999268 0.0382627i
\(6\) 1.05950i 0.432538i
\(7\) 1.06185 0.187234i 0.401343 0.0707676i 0.0306666 0.999530i \(-0.490237\pi\)
0.370676 + 0.928762i \(0.379126\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 1.43822 + 1.20681i 0.479407 + 0.402270i
\(10\) −2.07042 + 0.844619i −0.654723 + 0.267092i
\(11\) 0.436261 0.755627i 0.131538 0.227830i −0.792732 0.609571i \(-0.791342\pi\)
0.924270 + 0.381741i \(0.124675\pi\)
\(12\) −0.362370 0.995603i −0.104607 0.287406i
\(13\) −1.18263 + 0.992348i −0.328004 + 0.275228i −0.791886 0.610669i \(-0.790901\pi\)
0.463882 + 0.885897i \(0.346456\pi\)
\(14\) −0.933779 + 0.539117i −0.249563 + 0.144085i
\(15\) 0.724508 2.25561i 0.187067 0.582396i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.626355 + 0.525574i 0.151913 + 0.127470i 0.715577 0.698534i \(-0.246164\pi\)
−0.563663 + 0.826005i \(0.690608\pi\)
\(18\) −1.76424 0.642130i −0.415835 0.151352i
\(19\) −0.570090 + 1.56631i −0.130788 + 0.359336i −0.987750 0.156042i \(-0.950126\pi\)
0.856963 + 0.515378i \(0.172349\pi\)
\(20\) 1.65668 1.50181i 0.370444 0.335814i
\(21\) 0.198374 1.12503i 0.0432887 0.245502i
\(22\) −0.151512 + 0.859267i −0.0323025 + 0.183196i
\(23\) −2.32537 4.02766i −0.484873 0.839825i 0.514976 0.857205i \(-0.327801\pi\)
−0.999849 + 0.0173800i \(0.994468\pi\)
\(24\) 0.681032 + 0.811623i 0.139015 + 0.165672i
\(25\) 4.98536 0.382347i 0.997072 0.0764695i
\(26\) 0.771910 1.33699i 0.151384 0.262205i
\(27\) 4.47533 2.58383i 0.861277 0.497259i
\(28\) 0.693076 0.825976i 0.130979 0.156095i
\(29\) −1.84171 1.06331i −0.341997 0.197452i 0.319158 0.947702i \(-0.396600\pi\)
−0.661155 + 0.750249i \(0.729933\pi\)
\(30\) 0.0906487 + 2.36738i 0.0165501 + 0.432222i
\(31\) 2.18324i 0.392122i −0.980592 0.196061i \(-0.937185\pi\)
0.980592 0.196061i \(-0.0628150\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −0.594216 0.708159i −0.103440 0.123275i
\(34\) −0.768338 0.279652i −0.131769 0.0479600i
\(35\) 2.35662 0.509210i 0.398341 0.0860723i
\(36\) 1.87746 0.312911
\(37\) 4.86631 + 3.64952i 0.800017 + 0.599977i
\(38\) 1.66683i 0.270396i
\(39\) 0.559434 + 1.53703i 0.0895811 + 0.246122i
\(40\) −1.04312 + 1.97785i −0.164932 + 0.312726i
\(41\) 1.27193 1.06727i 0.198642 0.166680i −0.538041 0.842919i \(-0.680836\pi\)
0.736683 + 0.676238i \(0.236391\pi\)
\(42\) 0.198374 + 1.12503i 0.0306097 + 0.173596i
\(43\) 2.12972 0.324780 0.162390 0.986727i \(-0.448080\pi\)
0.162390 + 0.986727i \(0.448080\pi\)
\(44\) −0.151512 0.859267i −0.0228413 0.129539i
\(45\) 3.31686 + 2.57348i 0.494448 + 0.383632i
\(46\) 3.56267 + 2.98944i 0.525287 + 0.440768i
\(47\) 4.23630 2.44583i 0.617928 0.356761i −0.158134 0.987418i \(-0.550548\pi\)
0.776062 + 0.630657i \(0.217214\pi\)
\(48\) −0.917552 0.529749i −0.132437 0.0764627i
\(49\) −5.48537 + 1.99651i −0.783624 + 0.285216i
\(50\) −4.55394 + 2.06438i −0.644024 + 0.291948i
\(51\) 0.750235 0.433149i 0.105054 0.0606529i
\(52\) −0.268082 + 1.52037i −0.0371762 + 0.210837i
\(53\) −4.91073 0.865893i −0.674540 0.118940i −0.174123 0.984724i \(-0.555709\pi\)
−0.500417 + 0.865784i \(0.666820\pi\)
\(54\) −3.32171 + 3.95866i −0.452028 + 0.538705i
\(55\) 0.910145 1.72572i 0.122724 0.232696i
\(56\) −0.368778 + 1.01321i −0.0492800 + 0.135396i
\(57\) 1.35284 + 1.13517i 0.179188 + 0.150357i
\(58\) 2.09432 + 0.369284i 0.274997 + 0.0484894i
\(59\) −10.8290 1.90944i −1.40981 0.248588i −0.583642 0.812011i \(-0.698373\pi\)
−0.826168 + 0.563423i \(0.809484\pi\)
\(60\) −0.894872 2.19360i −0.115527 0.283193i
\(61\) 1.22233 + 1.45671i 0.156503 + 0.186513i 0.838598 0.544750i \(-0.183376\pi\)
−0.682095 + 0.731263i \(0.738931\pi\)
\(62\) 0.746712 + 2.05157i 0.0948325 + 0.260550i
\(63\) 1.75314 + 1.01217i 0.220874 + 0.127522i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −2.55761 + 2.31852i −0.317233 + 0.287577i
\(66\) 0.800585 + 0.462218i 0.0985452 + 0.0568951i
\(67\) 5.75930 1.01552i 0.703610 0.124065i 0.189615 0.981859i \(-0.439276\pi\)
0.513995 + 0.857793i \(0.328165\pi\)
\(68\) 0.817648 0.0991544
\(69\) −4.85259 + 0.855643i −0.584183 + 0.103007i
\(70\) −2.04034 + 1.28451i −0.243867 + 0.153529i
\(71\) −10.2016 3.71309i −1.21071 0.440663i −0.343761 0.939057i \(-0.611701\pi\)
−0.866951 + 0.498394i \(0.833923\pi\)
\(72\) −1.76424 + 0.642130i −0.207917 + 0.0756758i
\(73\) 10.5379i 1.23336i 0.787212 + 0.616682i \(0.211523\pi\)
−0.787212 + 0.616682i \(0.788477\pi\)
\(74\) −5.82105 1.76505i −0.676683 0.205183i
\(75\) 1.42588 5.10199i 0.164646 0.589127i
\(76\) 0.570090 + 1.56631i 0.0653938 + 0.179668i
\(77\) 0.321767 0.884048i 0.0366688 0.100747i
\(78\) −1.05139 1.25300i −0.119047 0.141874i
\(79\) −4.86694 + 0.858174i −0.547574 + 0.0965521i −0.440590 0.897709i \(-0.645231\pi\)
−0.106984 + 0.994261i \(0.534119\pi\)
\(80\) 0.303747 2.21534i 0.0339599 0.247683i
\(81\) 0.0273076 + 0.154869i 0.00303418 + 0.0172077i
\(82\) −0.830191 + 1.43793i −0.0916793 + 0.158793i
\(83\) −2.61137 + 3.11211i −0.286635 + 0.341598i −0.890078 0.455808i \(-0.849350\pi\)
0.603443 + 0.797406i \(0.293795\pi\)
\(84\) −0.571194 0.989337i −0.0623224 0.107946i
\(85\) 1.44451 + 1.12077i 0.156680 + 0.121565i
\(86\) −2.00128 + 0.728408i −0.215804 + 0.0785463i
\(87\) −1.72602 + 1.44830i −0.185048 + 0.155274i
\(88\) 0.436261 + 0.755627i 0.0465056 + 0.0805501i
\(89\) −15.0870 2.66025i −1.59922 0.281986i −0.698247 0.715857i \(-0.746036\pi\)
−0.900975 + 0.433871i \(0.857147\pi\)
\(90\) −3.99701 1.28385i −0.421322 0.135330i
\(91\) −1.06998 + 1.27516i −0.112165 + 0.133673i
\(92\) −4.37026 1.59065i −0.455632 0.165836i
\(93\) −2.17364 0.791140i −0.225396 0.0820374i
\(94\) −3.14430 + 3.74723i −0.324309 + 0.386497i
\(95\) −1.13982 + 3.54859i −0.116943 + 0.364077i
\(96\) 1.04340 + 0.183980i 0.106492 + 0.0187774i
\(97\) −5.51919 9.55952i −0.560389 0.970622i −0.997462 0.0711965i \(-0.977318\pi\)
0.437073 0.899426i \(-0.356015\pi\)
\(98\) 4.47172 3.75221i 0.451711 0.379031i
\(99\) 1.53934 0.560273i 0.154709 0.0563096i
\(100\) 3.57324 3.49742i 0.357324 0.349742i
\(101\) 1.28806 + 2.23099i 0.128167 + 0.221992i 0.922966 0.384881i \(-0.125757\pi\)
−0.794800 + 0.606872i \(0.792424\pi\)
\(102\) −0.556845 + 0.663622i −0.0551359 + 0.0657084i
\(103\) −2.51846 + 4.36211i −0.248152 + 0.429811i −0.963013 0.269455i \(-0.913156\pi\)
0.714861 + 0.699266i \(0.246490\pi\)
\(104\) −0.268082 1.52037i −0.0262876 0.149084i
\(105\) 0.346996 2.53078i 0.0338634 0.246979i
\(106\) 4.91073 0.865893i 0.476972 0.0841030i
\(107\) −1.57623 1.87848i −0.152380 0.181599i 0.684454 0.729056i \(-0.260041\pi\)
−0.836834 + 0.547457i \(0.815596\pi\)
\(108\) 1.76745 4.85602i 0.170072 0.467270i
\(109\) 3.11601 + 8.56118i 0.298460 + 0.820012i 0.994758 + 0.102259i \(0.0326071\pi\)
−0.696298 + 0.717753i \(0.745171\pi\)
\(110\) −0.265026 + 1.93294i −0.0252692 + 0.184298i
\(111\) 5.39688 3.52244i 0.512249 0.334335i
\(112\) 1.07823i 0.101884i
\(113\) −9.25336 + 3.36795i −0.870483 + 0.316830i −0.738363 0.674404i \(-0.764401\pi\)
−0.132120 + 0.991234i \(0.542178\pi\)
\(114\) −1.65950 0.604010i −0.155427 0.0565707i
\(115\) −5.54047 8.80057i −0.516652 0.820657i
\(116\) −2.09432 + 0.369284i −0.194452 + 0.0342872i
\(117\) −2.89847 −0.267963
\(118\) 10.8290 1.90944i 0.996886 0.175778i
\(119\) 0.763503 + 0.440809i 0.0699902 + 0.0404088i
\(120\) 1.59116 + 1.75525i 0.145252 + 0.160231i
\(121\) 5.11935 + 8.86698i 0.465396 + 0.806089i
\(122\) −1.64684 0.950801i −0.149097 0.0860815i
\(123\) −0.601672 1.65308i −0.0542510 0.149053i
\(124\) −1.40336 1.67246i −0.126025 0.150191i
\(125\) 11.1067 1.28087i 0.993416 0.114564i
\(126\) −1.99359 0.351524i −0.177603 0.0313162i
\(127\) −17.5015 3.08598i −1.55300 0.273836i −0.669697 0.742634i \(-0.733576\pi\)
−0.883305 + 0.468798i \(0.844687\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) 0.771747 2.12036i 0.0679485 0.186687i
\(130\) 1.61039 3.05345i 0.141240 0.267805i
\(131\) −4.45501 + 5.30927i −0.389236 + 0.463873i −0.924707 0.380680i \(-0.875690\pi\)
0.535471 + 0.844554i \(0.320134\pi\)
\(132\) −0.910392 0.160527i −0.0792394 0.0139721i
\(133\) −0.312087 + 1.76993i −0.0270614 + 0.153473i
\(134\) −5.06464 + 2.92407i −0.437518 + 0.252601i
\(135\) 9.77874 6.15629i 0.841620 0.529849i
\(136\) −0.768338 + 0.279652i −0.0658845 + 0.0239800i
\(137\) 5.53751 + 3.19708i 0.473101 + 0.273145i 0.717537 0.696520i \(-0.245269\pi\)
−0.244436 + 0.969665i \(0.578603\pi\)
\(138\) 4.26730 2.46372i 0.363256 0.209726i
\(139\) 6.69739 + 5.61978i 0.568065 + 0.476663i 0.881003 0.473110i \(-0.156869\pi\)
−0.312938 + 0.949774i \(0.601313\pi\)
\(140\) 1.47796 1.90488i 0.124911 0.160992i
\(141\) −0.899967 5.10396i −0.0757909 0.429831i
\(142\) 10.8564 0.911045
\(143\) 0.233907 + 1.32655i 0.0195603 + 0.110932i
\(144\) 1.43822 1.20681i 0.119852 0.100568i
\(145\) −4.20615 2.21832i −0.349302 0.184222i
\(146\) −3.60416 9.90235i −0.298283 0.819525i
\(147\) 6.18473i 0.510108i
\(148\) 6.07368 0.332312i 0.499253 0.0273159i
\(149\) 2.57942 0.211314 0.105657 0.994403i \(-0.466305\pi\)
0.105657 + 0.994403i \(0.466305\pi\)
\(150\) 0.405096 + 5.28198i 0.0330760 + 0.431272i
\(151\) 20.9296 + 7.61777i 1.70323 + 0.619925i 0.996187 0.0872457i \(-0.0278065\pi\)
0.707043 + 0.707171i \(0.250029\pi\)
\(152\) −1.07142 1.27687i −0.0869036 0.103568i
\(153\) 0.266568 + 1.51178i 0.0215508 + 0.122220i
\(154\) 0.940784i 0.0758105i
\(155\) −0.186794 4.87830i −0.0150036 0.391834i
\(156\) 1.41654 + 0.817837i 0.113414 + 0.0654794i
\(157\) −4.13022 + 4.92220i −0.329627 + 0.392834i −0.905249 0.424882i \(-0.860316\pi\)
0.575622 + 0.817716i \(0.304760\pi\)
\(158\) 4.27992 2.47101i 0.340492 0.196583i
\(159\) −2.64158 + 4.57536i −0.209491 + 0.362850i
\(160\) 0.472263 + 2.18563i 0.0373357 + 0.172789i
\(161\) −3.22331 3.84140i −0.254033 0.302744i
\(162\) −0.0786291 0.136190i −0.00617769 0.0107001i
\(163\) −0.526085 + 2.98357i −0.0412061 + 0.233692i −0.998454 0.0555758i \(-0.982301\pi\)
0.957248 + 0.289267i \(0.0934117\pi\)
\(164\) 0.288322 1.63516i 0.0225142 0.127684i
\(165\) −1.38832 1.53149i −0.108081 0.119227i
\(166\) 1.38948 3.81756i 0.107845 0.296300i
\(167\) 0.265056 + 0.0964724i 0.0205106 + 0.00746526i 0.352255 0.935904i \(-0.385415\pi\)
−0.331744 + 0.943369i \(0.607637\pi\)
\(168\) 0.875120 + 0.734313i 0.0675170 + 0.0566535i
\(169\) −1.84356 + 10.4553i −0.141812 + 0.804256i
\(170\) −1.74072 0.559126i −0.133508 0.0428830i
\(171\) −2.71015 + 1.56471i −0.207251 + 0.119656i
\(172\) 1.63146 1.36896i 0.124398 0.104382i
\(173\) 5.80274 + 15.9429i 0.441174 + 1.21212i 0.938721 + 0.344679i \(0.112012\pi\)
−0.497546 + 0.867438i \(0.665765\pi\)
\(174\) 1.12658 1.95129i 0.0854056 0.147927i
\(175\) 5.22214 1.33942i 0.394756 0.101251i
\(176\) −0.668391 0.560847i −0.0503819 0.0422754i
\(177\) −5.82513 + 10.0894i −0.437843 + 0.758367i
\(178\) 15.0870 2.66025i 1.13082 0.199394i
\(179\) 14.3771i 1.07459i −0.843393 0.537297i \(-0.819446\pi\)
0.843393 0.537297i \(-0.180554\pi\)
\(180\) 4.19506 0.160632i 0.312681 0.0119728i
\(181\) 11.8298 9.92638i 0.879302 0.737822i −0.0867336 0.996232i \(-0.527643\pi\)
0.966035 + 0.258410i \(0.0831985\pi\)
\(182\) 0.569327 1.56421i 0.0422013 0.115947i
\(183\) 1.89324 0.689083i 0.139952 0.0509385i
\(184\) 4.65074 0.342857
\(185\) 11.1857 + 7.73825i 0.822388 + 0.568927i
\(186\) 2.31314 0.169608
\(187\) 0.670392 0.244003i 0.0490239 0.0178433i
\(188\) 1.67304 4.59665i 0.122019 0.335245i
\(189\) 4.26837 3.58158i 0.310478 0.260522i
\(190\) −0.142611 3.72442i −0.0103461 0.270198i
\(191\) 3.30124i 0.238869i −0.992842 0.119435i \(-0.961892\pi\)
0.992842 0.119435i \(-0.0381082\pi\)
\(192\) −1.04340 + 0.183980i −0.0753011 + 0.0132776i
\(193\) −5.47500 + 9.48298i −0.394099 + 0.682600i −0.992986 0.118234i \(-0.962277\pi\)
0.598886 + 0.800834i \(0.295610\pi\)
\(194\) 8.45589 + 7.09534i 0.607098 + 0.509416i
\(195\) 1.38152 + 3.38653i 0.0989328 + 0.242514i
\(196\) −2.91870 + 5.05535i −0.208479 + 0.361096i
\(197\) −6.48938 17.8294i −0.462349 1.27029i −0.923714 0.383084i \(-0.874862\pi\)
0.461364 0.887211i \(-0.347360\pi\)
\(198\) −1.25488 + 1.05297i −0.0891804 + 0.0748312i
\(199\) 7.88126 4.55025i 0.558688 0.322558i −0.193931 0.981015i \(-0.562124\pi\)
0.752619 + 0.658457i \(0.228790\pi\)
\(200\) −2.16156 + 4.50862i −0.152845 + 0.318808i
\(201\) 1.07594 6.10197i 0.0758910 0.430399i
\(202\) −1.97342 1.65590i −0.138850 0.116509i
\(203\) −2.15472 0.784252i −0.151231 0.0550437i
\(204\) 0.296291 0.814053i 0.0207445 0.0569951i
\(205\) 2.75072 2.49357i 0.192118 0.174159i
\(206\) 0.874653 4.96041i 0.0609400 0.345608i
\(207\) 1.51622 8.59894i 0.105385 0.597667i
\(208\) 0.771910 + 1.33699i 0.0535223 + 0.0927034i
\(209\) 0.934838 + 1.11410i 0.0646641 + 0.0770636i
\(210\) 0.539508 + 2.49683i 0.0372296 + 0.172298i
\(211\) 7.52679 13.0368i 0.518165 0.897489i −0.481612 0.876385i \(-0.659949\pi\)
0.999777 0.0211041i \(-0.00671815\pi\)
\(212\) −4.31842 + 2.49324i −0.296590 + 0.171236i
\(213\) −7.39353 + 8.81127i −0.506596 + 0.603738i
\(214\) 2.12365 + 1.22609i 0.145170 + 0.0838137i
\(215\) 4.75872 0.182215i 0.324542 0.0124270i
\(216\) 5.16766i 0.351615i
\(217\) −0.408776 2.31828i −0.0277495 0.157375i
\(218\) −5.85619 6.97914i −0.396631 0.472687i
\(219\) 10.4915 + 3.81860i 0.708952 + 0.258037i
\(220\) −0.412060 1.90701i −0.0277811 0.128571i
\(221\) −1.26230 −0.0849116
\(222\) −3.86666 + 5.15585i −0.259513 + 0.346038i
\(223\) 21.7384i 1.45571i −0.685730 0.727856i \(-0.740517\pi\)
0.685730 0.727856i \(-0.259483\pi\)
\(224\) 0.368778 + 1.01321i 0.0246400 + 0.0676979i
\(225\) 7.63147 + 5.46648i 0.508764 + 0.364432i
\(226\) 7.54341 6.32967i 0.501780 0.421043i
\(227\) 2.20438 + 12.5017i 0.146310 + 0.829764i 0.966306 + 0.257395i \(0.0828642\pi\)
−0.819996 + 0.572369i \(0.806025\pi\)
\(228\) 1.76601 0.116957
\(229\) −1.74813 9.91413i −0.115520 0.655144i −0.986492 0.163812i \(-0.947621\pi\)
0.870972 0.491332i \(-0.163490\pi\)
\(230\) 8.21631 + 6.37487i 0.541768 + 0.420347i
\(231\) −0.763562 0.640704i −0.0502387 0.0421553i
\(232\) 1.84171 1.06331i 0.120914 0.0698099i
\(233\) −6.64095 3.83415i −0.435063 0.251184i 0.266438 0.963852i \(-0.414153\pi\)
−0.701501 + 0.712668i \(0.747487\pi\)
\(234\) 2.72367 0.991333i 0.178052 0.0648055i
\(235\) 9.25645 5.82748i 0.603824 0.380143i
\(236\) −9.52283 + 5.49801i −0.619883 + 0.357890i
\(237\) −0.909234 + 5.15652i −0.0590611 + 0.334952i
\(238\) −0.868223 0.153091i −0.0562786 0.00992343i
\(239\) −4.23812 + 5.05080i −0.274141 + 0.326709i −0.885495 0.464648i \(-0.846181\pi\)
0.611354 + 0.791357i \(0.290625\pi\)
\(240\) −2.09553 1.10518i −0.135266 0.0713393i
\(241\) −9.22443 + 25.3439i −0.594197 + 1.63254i 0.168435 + 0.985713i \(0.446129\pi\)
−0.762633 + 0.646832i \(0.776094\pi\)
\(242\) −7.84330 6.58131i −0.504187 0.423063i
\(243\) 15.4316 + 2.72100i 0.989934 + 0.174552i
\(244\) 1.87271 + 0.330210i 0.119888 + 0.0211395i
\(245\) −12.0859 + 4.93038i −0.772137 + 0.314991i
\(246\) 1.13077 + 1.34760i 0.0720955 + 0.0859201i
\(247\) −0.880117 2.41810i −0.0560005 0.153860i
\(248\) 1.89074 + 1.09162i 0.120062 + 0.0693179i
\(249\) 2.15214 + 3.72762i 0.136386 + 0.236228i
\(250\) −9.99883 + 5.00235i −0.632381 + 0.316376i
\(251\) 4.49165 + 2.59325i 0.283510 + 0.163685i 0.635011 0.772503i \(-0.280995\pi\)
−0.351501 + 0.936187i \(0.614329\pi\)
\(252\) 1.99359 0.351524i 0.125584 0.0221439i
\(253\) −4.05787 −0.255116
\(254\) 17.5015 3.08598i 1.09814 0.193631i
\(255\) 1.63929 1.03203i 0.102656 0.0646282i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 19.8471 7.22375i 1.23803 0.450605i 0.361689 0.932299i \(-0.382200\pi\)
0.876340 + 0.481694i \(0.159978\pi\)
\(258\) 2.25644i 0.140480i
\(259\) 5.85063 + 2.96412i 0.363540 + 0.184181i
\(260\) −0.468930 + 3.42009i −0.0290818 + 0.212105i
\(261\) −1.36557 3.75187i −0.0845267 0.232235i
\(262\) 2.37046 6.51279i 0.146448 0.402361i
\(263\) −19.4723 23.2062i −1.20072 1.43096i −0.874062 0.485814i \(-0.838523\pi\)
−0.326654 0.945144i \(-0.605921\pi\)
\(264\) 0.910392 0.160527i 0.0560307 0.00987973i
\(265\) −11.0468 1.51463i −0.678597 0.0930428i
\(266\) −0.312087 1.76993i −0.0191353 0.108522i
\(267\) −8.11564 + 14.0567i −0.496669 + 0.860256i
\(268\) 3.75911 4.47994i 0.229624 0.273656i
\(269\) −4.54723 7.87603i −0.277250 0.480210i 0.693451 0.720504i \(-0.256090\pi\)
−0.970700 + 0.240294i \(0.922756\pi\)
\(270\) −7.08344 + 9.12955i −0.431084 + 0.555607i
\(271\) −12.8176 + 4.66521i −0.778612 + 0.283391i −0.700594 0.713561i \(-0.747081\pi\)
−0.0780180 + 0.996952i \(0.524859\pi\)
\(272\) 0.626355 0.525574i 0.0379784 0.0318676i
\(273\) 0.881821 + 1.52736i 0.0533702 + 0.0924399i
\(274\) −6.29702 1.11033i −0.380417 0.0670778i
\(275\) 1.88601 3.93387i 0.113731 0.237222i
\(276\) −3.16730 + 3.77465i −0.190649 + 0.227207i
\(277\) −22.5852 8.22034i −1.35701 0.493913i −0.441884 0.897072i \(-0.645690\pi\)
−0.915130 + 0.403160i \(0.867912\pi\)
\(278\) −8.21557 2.99022i −0.492737 0.179342i
\(279\) 2.63476 3.13998i 0.157739 0.187986i
\(280\) −0.737321 + 2.29550i −0.0440633 + 0.137182i
\(281\) −9.23169 1.62780i −0.550716 0.0971061i −0.108636 0.994082i \(-0.534648\pi\)
−0.442080 + 0.896975i \(0.645759\pi\)
\(282\) 2.59135 + 4.48835i 0.154313 + 0.267277i
\(283\) −8.38991 + 7.03997i −0.498729 + 0.418483i −0.857142 0.515080i \(-0.827762\pi\)
0.358414 + 0.933563i \(0.383318\pi\)
\(284\) −10.2016 + 3.71309i −0.605356 + 0.220332i
\(285\) 3.11995 + 2.42071i 0.184810 + 0.143390i
\(286\) −0.673509 1.16655i −0.0398254 0.0689796i
\(287\) 1.15077 1.37144i 0.0679279 0.0809533i
\(288\) −0.938732 + 1.62593i −0.0553153 + 0.0958089i
\(289\) −2.83593 16.0833i −0.166819 0.946079i
\(290\) 4.71120 + 0.645955i 0.276651 + 0.0379318i
\(291\) −11.5175 + 2.03084i −0.675166 + 0.119050i
\(292\) 6.77361 + 8.07247i 0.396395 + 0.472406i
\(293\) −1.24458 + 3.41945i −0.0727090 + 0.199766i −0.970724 0.240199i \(-0.922787\pi\)
0.898015 + 0.439966i \(0.145009\pi\)
\(294\) −2.11530 5.81174i −0.123367 0.338948i
\(295\) −24.3599 3.34000i −1.41829 0.194462i
\(296\) −5.59373 + 2.38959i −0.325129 + 0.138892i
\(297\) 4.50890i 0.261633i
\(298\) −2.42386 + 0.882214i −0.140411 + 0.0511053i
\(299\) 6.74690 + 2.45567i 0.390183 + 0.142015i
\(300\) −2.18721 4.82489i −0.126279 0.278565i
\(301\) 2.26145 0.398755i 0.130348 0.0229839i
\(302\) −22.2729 −1.28166
\(303\) 2.68793 0.473955i 0.154418 0.0272280i
\(304\) 1.44352 + 0.833416i 0.0827915 + 0.0477997i
\(305\) 2.85584 + 3.15034i 0.163525 + 0.180388i
\(306\) −0.767552 1.32944i −0.0438781 0.0759990i
\(307\) −0.732784 0.423073i −0.0418222 0.0241461i 0.478943 0.877846i \(-0.341020\pi\)
−0.520765 + 0.853700i \(0.674353\pi\)
\(308\) −0.321767 0.884048i −0.0183344 0.0503733i
\(309\) 3.43031 + 4.08809i 0.195144 + 0.232563i
\(310\) 1.84401 + 4.52021i 0.104732 + 0.256731i
\(311\) −12.8692 2.26918i −0.729745 0.128674i −0.203582 0.979058i \(-0.565258\pi\)
−0.526162 + 0.850384i \(0.676370\pi\)
\(312\) −1.61083 0.284032i −0.0911950 0.0160801i
\(313\) −4.47117 3.75176i −0.252726 0.212062i 0.507619 0.861581i \(-0.330526\pi\)
−0.760345 + 0.649520i \(0.774970\pi\)
\(314\) 2.19764 6.03797i 0.124020 0.340743i
\(315\) 4.00386 + 2.11164i 0.225592 + 0.118977i
\(316\) −3.17667 + 3.78581i −0.178702 + 0.212968i
\(317\) 18.3987 + 3.24419i 1.03338 + 0.182212i 0.664517 0.747273i \(-0.268637\pi\)
0.368859 + 0.929485i \(0.379748\pi\)
\(318\) 0.917413 5.20291i 0.0514460 0.291764i
\(319\) −1.60693 + 0.927764i −0.0899710 + 0.0519448i
\(320\) −1.19131 1.89229i −0.0665963 0.105782i
\(321\) −2.44139 + 0.888595i −0.136265 + 0.0495965i
\(322\) 4.34276 + 2.50729i 0.242013 + 0.139726i
\(323\) −1.18029 + 0.681442i −0.0656732 + 0.0379164i
\(324\) 0.120467 + 0.101084i 0.00669260 + 0.00561576i
\(325\) −5.51644 + 5.39939i −0.305997 + 0.299504i
\(326\) −0.526085 2.98357i −0.0291371 0.165245i
\(327\) 9.65268 0.533795
\(328\) 0.288322 + 1.63516i 0.0159199 + 0.0902865i
\(329\) 4.04039 3.39029i 0.222754 0.186913i
\(330\) 1.82840 + 0.964298i 0.100650 + 0.0530828i
\(331\) 2.62689 + 7.21733i 0.144387 + 0.396700i 0.990714 0.135964i \(-0.0434131\pi\)
−0.846327 + 0.532664i \(0.821191\pi\)
\(332\) 4.06257i 0.222962i
\(333\) 2.59455 + 11.1215i 0.142181 + 0.609456i
\(334\) −0.282066 −0.0154340
\(335\) 12.7819 2.76186i 0.698348 0.150897i
\(336\) −1.07349 0.390720i −0.0585639 0.0213155i
\(337\) −10.3303 12.3112i −0.562728 0.670633i 0.407394 0.913253i \(-0.366438\pi\)
−0.970121 + 0.242620i \(0.921993\pi\)
\(338\) −1.84356 10.4553i −0.100276 0.568695i
\(339\) 10.4331i 0.566649i
\(340\) 1.82698 0.0699565i 0.0990818 0.00379392i
\(341\) −1.64971 0.952463i −0.0893371 0.0515788i
\(342\) 2.01155 2.39727i 0.108772 0.129630i
\(343\) −11.9873 + 6.92087i −0.647253 + 0.373692i
\(344\) −1.06486 + 1.84439i −0.0574135 + 0.0994431i
\(345\) −10.7696 + 2.32705i −0.579814 + 0.125284i
\(346\) −10.9056 12.9968i −0.586288 0.698711i
\(347\) 10.0777 + 17.4551i 0.541001 + 0.937041i 0.998847 + 0.0480094i \(0.0152878\pi\)
−0.457846 + 0.889031i \(0.651379\pi\)
\(348\) −0.391256 + 2.21892i −0.0209735 + 0.118947i
\(349\) −0.0949475 + 0.538474i −0.00508242 + 0.0288239i −0.987244 0.159218i \(-0.949103\pi\)
0.982161 + 0.188042i \(0.0602140\pi\)
\(350\) −4.44909 + 3.04472i −0.237814 + 0.162747i
\(351\) −2.72862 + 7.49681i −0.145643 + 0.400150i
\(352\) 0.819903 + 0.298420i 0.0437010 + 0.0159059i
\(353\) 9.42472 + 7.90828i 0.501627 + 0.420915i 0.858171 0.513363i \(-0.171601\pi\)
−0.356544 + 0.934278i \(0.616045\pi\)
\(354\) 2.02305 11.4733i 0.107524 0.609797i
\(355\) −23.1125 7.42381i −1.22669 0.394015i
\(356\) −13.2673 + 7.65989i −0.703166 + 0.405973i
\(357\) 0.715540 0.600410i 0.0378704 0.0317771i
\(358\) 4.91725 + 13.5100i 0.259885 + 0.714028i
\(359\) 13.2940 23.0258i 0.701629 1.21526i −0.266265 0.963900i \(-0.585790\pi\)
0.967894 0.251358i \(-0.0808771\pi\)
\(360\) −3.88713 + 1.58574i −0.204870 + 0.0835759i
\(361\) 12.4265 + 10.4271i 0.654027 + 0.548794i
\(362\) −7.72135 + 13.3738i −0.405825 + 0.702910i
\(363\) 10.6831 1.88372i 0.560717 0.0988695i
\(364\) 1.66460i 0.0872488i
\(365\) 0.901600 + 23.5461i 0.0471919 + 1.23246i
\(366\) −1.54338 + 1.29505i −0.0806739 + 0.0676935i
\(367\) −3.36052 + 9.23295i −0.175418 + 0.481956i −0.995977 0.0896048i \(-0.971440\pi\)
0.820560 + 0.571561i \(0.193662\pi\)
\(368\) −4.37026 + 1.59065i −0.227816 + 0.0829182i
\(369\) 3.11731 0.162280
\(370\) −13.1577 3.44584i −0.684038 0.179141i
\(371\) −5.37660 −0.279139
\(372\) −2.17364 + 0.791140i −0.112698 + 0.0410187i
\(373\) 8.97241 24.6515i 0.464574 1.27641i −0.457437 0.889242i \(-0.651233\pi\)
0.922011 0.387164i \(-0.126545\pi\)
\(374\) −0.546509 + 0.458575i −0.0282593 + 0.0237124i
\(375\) 2.74951 11.5220i 0.141984 0.594995i
\(376\) 4.89166i 0.252268i
\(377\) 3.23325 0.570109i 0.166521 0.0293621i
\(378\) −2.78598 + 4.82545i −0.143295 + 0.248195i
\(379\) −3.82454 3.20917i −0.196453 0.164844i 0.539255 0.842143i \(-0.318706\pi\)
−0.735708 + 0.677299i \(0.763150\pi\)
\(380\) 1.40784 + 3.45104i 0.0722206 + 0.177034i
\(381\) −9.41440 + 16.3062i −0.482315 + 0.835393i
\(382\) 1.12909 + 3.10215i 0.0577692 + 0.158720i
\(383\) 24.8001 20.8097i 1.26722 1.06333i 0.272351 0.962198i \(-0.412199\pi\)
0.994873 0.101130i \(-0.0322457\pi\)
\(384\) 0.917552 0.529749i 0.0468237 0.0270336i
\(385\) 0.643329 2.00287i 0.0327871 0.102076i
\(386\) 1.90145 10.7837i 0.0967812 0.548873i
\(387\) 3.06301 + 2.57017i 0.155702 + 0.130649i
\(388\) −10.3727 3.77535i −0.526594 0.191664i
\(389\) −6.55864 + 18.0197i −0.332536 + 0.913636i 0.654914 + 0.755704i \(0.272705\pi\)
−0.987450 + 0.157932i \(0.949517\pi\)
\(390\) −2.45647 2.70979i −0.124388 0.137215i
\(391\) 0.660327 3.74490i 0.0333941 0.189388i
\(392\) 1.01366 5.74873i 0.0511973 0.290355i
\(393\) 3.67157 + 6.35934i 0.185206 + 0.320786i
\(394\) 12.1961 + 14.5347i 0.614428 + 0.732247i
\(395\) −10.8014 + 2.33394i −0.543479 + 0.117433i
\(396\) 0.819064 1.41866i 0.0411595 0.0712904i
\(397\) 28.7635 16.6066i 1.44360 0.833461i 0.445510 0.895277i \(-0.353022\pi\)
0.998088 + 0.0618156i \(0.0196891\pi\)
\(398\) −5.84969 + 6.97138i −0.293218 + 0.349444i
\(399\) 1.64906 + 0.952085i 0.0825562 + 0.0476639i
\(400\) 0.489160 4.97601i 0.0244580 0.248801i
\(401\) 6.78294i 0.338724i −0.985554 0.169362i \(-0.945829\pi\)
0.985554 0.169362i \(-0.0541707\pi\)
\(402\) 1.07594 + 6.10197i 0.0536631 + 0.304338i
\(403\) 2.16653 + 2.58198i 0.107923 + 0.128617i
\(404\) 2.42076 + 0.881086i 0.120437 + 0.0438357i
\(405\) 0.0742673 + 0.343708i 0.00369037 + 0.0170790i
\(406\) 2.29300 0.113800
\(407\) 4.88066 2.08497i 0.241925 0.103348i
\(408\) 0.866297i 0.0428881i
\(409\) −3.95396 10.8634i −0.195511 0.537161i 0.802737 0.596333i \(-0.203376\pi\)
−0.998248 + 0.0591720i \(0.981154\pi\)
\(410\) −1.73198 + 3.28399i −0.0855363 + 0.162185i
\(411\) 5.18965 4.35463i 0.255986 0.214798i
\(412\) 0.874653 + 4.96041i 0.0430911 + 0.244382i
\(413\) −11.8563 −0.583410
\(414\) 1.51622 + 8.59894i 0.0745184 + 0.422615i
\(415\) −5.56865 + 7.17721i −0.273354 + 0.352315i
\(416\) −1.18263 0.992348i −0.0579834 0.0486539i
\(417\) 8.02200 4.63150i 0.392839 0.226806i
\(418\) −1.25950 0.727174i −0.0616043 0.0355673i
\(419\) 16.0572 5.84436i 0.784448 0.285516i 0.0814217 0.996680i \(-0.474054\pi\)
0.703026 + 0.711164i \(0.251832\pi\)
\(420\) −1.36094 2.16173i −0.0664070 0.105482i
\(421\) 1.95703 1.12989i 0.0953798 0.0550675i −0.451551 0.892245i \(-0.649129\pi\)
0.546931 + 0.837178i \(0.315796\pi\)
\(422\) −2.61403 + 14.8249i −0.127249 + 0.721664i
\(423\) 9.04438 + 1.59477i 0.439753 + 0.0775403i
\(424\) 3.20525 3.81987i 0.155661 0.185509i
\(425\) 3.32356 + 2.38069i 0.161216 + 0.115481i
\(426\) 3.93402 10.8086i 0.190604 0.523679i
\(427\) 1.57068 + 1.31795i 0.0760104 + 0.0637803i
\(428\) −2.41492 0.425816i −0.116730 0.0205826i
\(429\) 1.40548 + 0.247824i 0.0678573 + 0.0119651i
\(430\) −4.40941 + 1.79880i −0.212641 + 0.0867460i
\(431\) −9.25962 11.0352i −0.446020 0.531546i 0.495453 0.868635i \(-0.335002\pi\)
−0.941473 + 0.337089i \(0.890558\pi\)
\(432\) −1.76745 4.85602i −0.0850362 0.233635i
\(433\) 8.73101 + 5.04085i 0.419586 + 0.242248i 0.694900 0.719106i \(-0.255449\pi\)
−0.275314 + 0.961354i \(0.588782\pi\)
\(434\) 1.17702 + 2.03866i 0.0564989 + 0.0978590i
\(435\) −3.73275 + 3.38380i −0.178972 + 0.162241i
\(436\) 7.89003 + 4.55531i 0.377864 + 0.218160i
\(437\) 7.63423 1.34612i 0.365195 0.0643937i
\(438\) −11.1648 −0.533477
\(439\) −9.15624 + 1.61449i −0.437003 + 0.0770555i −0.387822 0.921734i \(-0.626772\pi\)
−0.0491815 + 0.998790i \(0.515661\pi\)
\(440\) 1.03945 + 1.65107i 0.0495536 + 0.0787117i
\(441\) −10.2986 3.74838i −0.490409 0.178494i
\(442\) 1.18618 0.431733i 0.0564206 0.0205354i
\(443\) 35.7351i 1.69783i 0.528531 + 0.848914i \(0.322743\pi\)
−0.528531 + 0.848914i \(0.677257\pi\)
\(444\) 1.87007 6.16739i 0.0887494 0.292691i
\(445\) −33.9385 4.65333i −1.60884 0.220589i
\(446\) 7.43498 + 20.4274i 0.352056 + 0.967267i
\(447\) 0.934704 2.56808i 0.0442100 0.121466i
\(448\) −0.693076 0.825976i −0.0327448 0.0390237i
\(449\) 18.1541 3.20105i 0.856743 0.151067i 0.272012 0.962294i \(-0.412311\pi\)
0.584731 + 0.811227i \(0.301200\pi\)
\(450\) −9.04088 2.52670i −0.426191 0.119110i
\(451\) −0.251568 1.42671i −0.0118459 0.0671812i
\(452\) −4.92361 + 8.52794i −0.231587 + 0.401121i
\(453\) 15.1685 18.0772i 0.712680 0.849339i
\(454\) −6.34726 10.9938i −0.297891 0.515963i
\(455\) −2.28171 + 2.94080i −0.106968 + 0.137867i
\(456\) −1.65950 + 0.604010i −0.0777134 + 0.0282853i
\(457\) 25.8346 21.6778i 1.20849 1.01404i 0.209144 0.977885i \(-0.432932\pi\)
0.999346 0.0361587i \(-0.0115122\pi\)
\(458\) 5.03353 + 8.71834i 0.235202 + 0.407381i
\(459\) 4.16114 + 0.733721i 0.194225 + 0.0342472i
\(460\) −9.90114 3.18028i −0.461643 0.148281i
\(461\) 19.5455 23.2934i 0.910323 1.08488i −0.0857480 0.996317i \(-0.527328\pi\)
0.996071 0.0885633i \(-0.0282276\pi\)
\(462\) 0.936647 + 0.340912i 0.0435768 + 0.0158606i
\(463\) −31.3726 11.4187i −1.45801 0.530672i −0.513194 0.858273i \(-0.671538\pi\)
−0.944816 + 0.327600i \(0.893760\pi\)
\(464\) −1.36697 + 1.62909i −0.0634599 + 0.0756286i
\(465\) −4.92454 1.58178i −0.228370 0.0733531i
\(466\) 7.55181 + 1.33159i 0.349831 + 0.0616846i
\(467\) 9.94276 + 17.2214i 0.460096 + 0.796910i 0.998965 0.0454795i \(-0.0144816\pi\)
−0.538869 + 0.842390i \(0.681148\pi\)
\(468\) −2.22035 + 1.86310i −0.102636 + 0.0861217i
\(469\) 5.92539 2.15667i 0.273609 0.0995856i
\(470\) −6.70511 + 8.64194i −0.309283 + 0.398623i
\(471\) 3.40389 + 5.89571i 0.156843 + 0.271660i
\(472\) 7.06810 8.42343i 0.325336 0.387720i
\(473\) 0.929115 1.60928i 0.0427208 0.0739946i
\(474\) −0.909234 5.15652i −0.0417625 0.236847i
\(475\) −2.24323 + 8.02659i −0.102926 + 0.368285i
\(476\) 0.868223 0.153091i 0.0397949 0.00701692i
\(477\) −6.01774 7.17166i −0.275533 0.328368i
\(478\) 2.25506 6.19572i 0.103144 0.283386i
\(479\) 7.41314 + 20.3674i 0.338715 + 0.930612i 0.985760 + 0.168160i \(0.0537824\pi\)
−0.647045 + 0.762452i \(0.723995\pi\)
\(480\) 2.34715 + 0.321819i 0.107132 + 0.0146890i
\(481\) −9.37667 + 0.513030i −0.427539 + 0.0233921i
\(482\) 26.9704i 1.22847i
\(483\) −4.99254 + 1.81713i −0.227168 + 0.0826825i
\(484\) 9.62124 + 3.50184i 0.437329 + 0.159175i
\(485\) −13.1501 20.8879i −0.597117 0.948470i
\(486\) −15.4316 + 2.72100i −0.699989 + 0.123427i
\(487\) −36.5419 −1.65587 −0.827937 0.560822i \(-0.810485\pi\)
−0.827937 + 0.560822i \(0.810485\pi\)
\(488\) −1.87271 + 0.330210i −0.0847737 + 0.0149479i
\(489\) 2.77982 + 1.60493i 0.125708 + 0.0725774i
\(490\) 9.67070 8.76665i 0.436878 0.396037i
\(491\) 11.9230 + 20.6513i 0.538078 + 0.931979i 0.999008 + 0.0445419i \(0.0141828\pi\)
−0.460929 + 0.887437i \(0.652484\pi\)
\(492\) −1.52349 0.879586i −0.0686841 0.0396548i
\(493\) −0.594715 1.63397i −0.0267846 0.0735902i
\(494\) 1.65408 + 1.97125i 0.0744205 + 0.0886909i
\(495\) 3.39161 1.38359i 0.152441 0.0621879i
\(496\) −2.15007 0.379116i −0.0965411 0.0170228i
\(497\) −11.5279 2.03267i −0.517095 0.0911779i
\(498\) −3.29727 2.76674i −0.147754 0.123981i
\(499\) 12.9665 35.6251i 0.580458 1.59480i −0.206941 0.978353i \(-0.566351\pi\)
0.787399 0.616443i \(-0.211427\pi\)
\(500\) 7.68492 8.12047i 0.343680 0.363158i
\(501\) 0.192096 0.228932i 0.00858223 0.0102279i
\(502\) −5.10771 0.900627i −0.227968 0.0401970i
\(503\) 6.98751 39.6282i 0.311558 1.76693i −0.279346 0.960191i \(-0.590118\pi\)
0.590904 0.806742i \(-0.298771\pi\)
\(504\) −1.75314 + 1.01217i −0.0780909 + 0.0450858i
\(505\) 3.06896 + 4.87478i 0.136567 + 0.216925i
\(506\) 3.81315 1.38787i 0.169515 0.0616985i
\(507\) 9.74131 + 5.62415i 0.432627 + 0.249777i
\(508\) −15.3905 + 8.88572i −0.682844 + 0.394240i
\(509\) 15.7389 + 13.2065i 0.697617 + 0.585370i 0.921094 0.389339i \(-0.127297\pi\)
−0.223478 + 0.974709i \(0.571741\pi\)
\(510\) −1.18745 + 1.53046i −0.0525813 + 0.0677699i
\(511\) 1.97304 + 11.1897i 0.0872822 + 0.495002i
\(512\) 1.00000 0.0441942
\(513\) 1.49574 + 8.48277i 0.0660386 + 0.374523i
\(514\) −16.1795 + 13.5762i −0.713647 + 0.598821i
\(515\) −5.25412 + 9.96230i −0.231524 + 0.438991i
\(516\) −0.771747 2.12036i −0.0339743 0.0933435i
\(517\) 4.26808i 0.187710i
\(518\) −6.51158 0.784329i −0.286102 0.0344615i
\(519\) 17.9755 0.789039
\(520\) −0.729089 3.37422i −0.0319727 0.147969i
\(521\) −7.39970 2.69327i −0.324187 0.117994i 0.174800 0.984604i \(-0.444072\pi\)
−0.498987 + 0.866610i \(0.666294\pi\)
\(522\) 2.56643 + 3.05855i 0.112330 + 0.133869i
\(523\) 2.06053 + 11.6858i 0.0901006 + 0.510986i 0.996139 + 0.0877905i \(0.0279806\pi\)
−0.906038 + 0.423196i \(0.860908\pi\)
\(524\) 6.93076i 0.302772i
\(525\) 0.558811 5.68454i 0.0243885 0.248094i
\(526\) 26.2350 + 15.1468i 1.14390 + 0.660432i
\(527\) 1.14745 1.36748i 0.0499839 0.0595685i
\(528\) −0.800585 + 0.462218i −0.0348410 + 0.0201155i
\(529\) 0.685317 1.18700i 0.0297964 0.0516089i
\(530\) 10.8986 2.35493i 0.473405 0.102292i
\(531\) −13.2701 15.8147i −0.575873 0.686299i
\(532\) 0.898618 + 1.55645i 0.0389601 + 0.0674808i
\(533\) −0.445118 + 2.52439i −0.0192802 + 0.109343i
\(534\) 2.81853 15.9847i 0.121970 0.691725i
\(535\) −3.68269 4.06247i −0.159217 0.175636i
\(536\) −2.00018 + 5.49546i −0.0863947 + 0.237368i
\(537\) −14.3139 5.20982i −0.617689 0.224820i
\(538\) 6.96676 + 5.84581i 0.300358 + 0.252031i
\(539\) −0.884437 + 5.01589i −0.0380954 + 0.216050i
\(540\) 3.53376 11.0016i 0.152069 0.473436i
\(541\) 36.1647 20.8797i 1.55484 0.897689i 0.557106 0.830441i \(-0.311912\pi\)
0.997736 0.0672476i \(-0.0214217\pi\)
\(542\) 10.4490 8.76773i 0.448822 0.376606i
\(543\) −5.59597 15.3748i −0.240146 0.659796i
\(544\) −0.408824 + 0.708104i −0.0175282 + 0.0303597i
\(545\) 7.69500 + 18.8628i 0.329617 + 0.807992i
\(546\) −1.35103 1.13365i −0.0578186 0.0485156i
\(547\) −21.5669 + 37.3550i −0.922135 + 1.59718i −0.126030 + 0.992026i \(0.540223\pi\)
−0.796105 + 0.605158i \(0.793110\pi\)
\(548\) 6.29702 1.11033i 0.268995 0.0474311i
\(549\) 3.57019i 0.152372i
\(550\) −0.426803 + 4.34168i −0.0181989 + 0.185130i
\(551\) 2.71542 2.27851i 0.115681 0.0970677i
\(552\) 1.68529 4.63029i 0.0717306 0.197078i
\(553\) −5.00731 + 1.82251i −0.212932 + 0.0775010i
\(554\) 24.0347 1.02114
\(555\) 11.7576 8.33239i 0.499081 0.353690i
\(556\) 8.74282 0.370778
\(557\) 25.8419 9.40569i 1.09496 0.398532i 0.269502 0.963000i \(-0.413141\pi\)
0.825455 + 0.564468i \(0.190919\pi\)
\(558\) −1.40192 + 3.85176i −0.0593482 + 0.163058i
\(559\) −2.51868 + 2.11343i −0.106529 + 0.0893884i
\(560\) −0.0922517 2.40924i −0.00389835 0.101809i
\(561\) 0.755864i 0.0319126i
\(562\) 9.23169 1.62780i 0.389415 0.0686644i
\(563\) −14.0675 + 24.3656i −0.592873 + 1.02689i 0.400970 + 0.916091i \(0.368673\pi\)
−0.993843 + 0.110795i \(0.964660\pi\)
\(564\) −3.97018 3.33138i −0.167175 0.140276i
\(565\) −20.3878 + 8.31715i −0.857723 + 0.349905i
\(566\) 5.47613 9.48493i 0.230179 0.398681i
\(567\) 0.0579934 + 0.159336i 0.00243549 + 0.00669146i
\(568\) 8.31645 6.97833i 0.348951 0.292804i
\(569\) 31.5420 18.2108i 1.32231 0.763437i 0.338214 0.941069i \(-0.390177\pi\)
0.984097 + 0.177633i \(0.0568439\pi\)
\(570\) −3.75972 1.20763i −0.157477 0.0505822i
\(571\) −2.64393 + 14.9945i −0.110645 + 0.627499i 0.878170 + 0.478349i \(0.158765\pi\)
−0.988815 + 0.149150i \(0.952346\pi\)
\(572\) 1.03188 + 0.865846i 0.0431449 + 0.0362028i
\(573\) −3.28672 1.19627i −0.137305 0.0499748i
\(574\) −0.612312 + 1.68231i −0.0255574 + 0.0702185i
\(575\) −13.1328 19.1902i −0.547674 0.800288i
\(576\) 0.326018 1.84894i 0.0135841 0.0770392i
\(577\) 4.51304 25.5947i 0.187880 1.06552i −0.734318 0.678805i \(-0.762498\pi\)
0.922199 0.386716i \(-0.126391\pi\)
\(578\) 8.16573 + 14.1435i 0.339649 + 0.588290i
\(579\) 7.45731 + 8.88728i 0.309915 + 0.369343i
\(580\) −4.64801 + 1.00433i −0.192998 + 0.0417024i
\(581\) −2.19020 + 3.79354i −0.0908648 + 0.157382i
\(582\) 10.1283 5.84758i 0.419831 0.242390i
\(583\) −2.79665 + 3.33292i −0.115825 + 0.138035i
\(584\) −9.12606 5.26893i −0.377639 0.218030i
\(585\) −6.47642 + 0.247987i −0.267767 + 0.0102530i
\(586\) 3.63890i 0.150322i
\(587\) 7.24062 + 41.0636i 0.298852 + 1.69488i 0.651119 + 0.758976i \(0.274300\pi\)
−0.352267 + 0.935900i \(0.614589\pi\)
\(588\) 3.97547 + 4.73777i 0.163945 + 0.195383i
\(589\) 3.41963 + 1.24464i 0.140903 + 0.0512847i
\(590\) 24.0332 5.19301i 0.989431 0.213793i
\(591\) −20.1026 −0.826910
\(592\) 4.43910 4.15865i 0.182446 0.170919i
\(593\) 28.6164i 1.17514i −0.809175 0.587568i \(-0.800085\pi\)
0.809175 0.587568i \(-0.199915\pi\)
\(594\) 1.54214 + 4.23698i 0.0632746 + 0.173846i
\(595\) 1.74371 + 0.919632i 0.0714851 + 0.0377012i
\(596\) 1.97595 1.65802i 0.0809381 0.0679152i
\(597\) −1.67431 9.49548i −0.0685249 0.388624i
\(598\) −7.17990 −0.293608
\(599\) −4.18335 23.7249i −0.170927 0.969375i −0.942741 0.333526i \(-0.891761\pi\)
0.771814 0.635849i \(-0.219350\pi\)
\(600\) 3.70551 + 3.78584i 0.151277 + 0.154556i
\(601\) 3.35161 + 2.81234i 0.136715 + 0.114718i 0.708581 0.705630i \(-0.249336\pi\)
−0.571866 + 0.820347i \(0.693780\pi\)
\(602\) −1.98869 + 1.14817i −0.0810529 + 0.0467959i
\(603\) 9.50868 + 5.48984i 0.387223 + 0.223563i
\(604\) 20.9296 7.61777i 0.851615 0.309962i
\(605\) 12.1975 + 19.3746i 0.495898 + 0.787691i
\(606\) −2.36373 + 1.36470i −0.0960199 + 0.0554371i
\(607\) −4.77849 + 27.1002i −0.193953 + 1.09996i 0.719949 + 0.694027i \(0.244165\pi\)
−0.913902 + 0.405935i \(0.866946\pi\)
\(608\) −1.64151 0.289442i −0.0665720 0.0117384i
\(609\) −1.56161 + 1.86105i −0.0632795 + 0.0754136i
\(610\) −3.76109 1.98360i −0.152282 0.0803135i
\(611\) −2.58288 + 7.09640i −0.104492 + 0.287090i
\(612\) 1.17596 + 0.986746i 0.0475353 + 0.0398869i
\(613\) 17.8488 + 3.14722i 0.720906 + 0.127115i 0.522052 0.852914i \(-0.325167\pi\)
0.198854 + 0.980029i \(0.436278\pi\)
\(614\) 0.833291 + 0.146932i 0.0336289 + 0.00592968i
\(615\) −1.48583 3.64222i −0.0599144 0.146868i
\(616\) 0.604724 + 0.720682i 0.0243650 + 0.0290371i
\(617\) −3.72701 10.2399i −0.150044 0.412242i 0.841786 0.539812i \(-0.181505\pi\)
−0.991830 + 0.127570i \(0.959282\pi\)
\(618\) −4.62165 2.66831i −0.185910 0.107335i
\(619\) −1.39499 2.41619i −0.0560692 0.0971148i 0.836628 0.547771i \(-0.184523\pi\)
−0.892698 + 0.450656i \(0.851190\pi\)
\(620\) −3.27880 3.61692i −0.131680 0.145259i
\(621\) −20.8136 12.0167i −0.835220 0.482215i
\(622\) 12.8692 2.26918i 0.516007 0.0909860i
\(623\) −16.5183 −0.661792
\(624\) 1.61083 0.284032i 0.0644846 0.0113704i
\(625\) 24.7076 3.81228i 0.988305 0.152491i
\(626\) 5.48470 + 1.99627i 0.219213 + 0.0797869i
\(627\) 1.44795 0.527012i 0.0578257 0.0210468i
\(628\) 6.42548i 0.256404i
\(629\) 1.12995 + 4.84350i 0.0450539 + 0.193123i
\(630\) −4.48462 0.614888i −0.178671 0.0244977i
\(631\) 5.08822 + 13.9798i 0.202559 + 0.556525i 0.998827 0.0484180i \(-0.0154180\pi\)
−0.796268 + 0.604943i \(0.793196\pi\)
\(632\) 1.69027 4.64398i 0.0672354 0.184728i
\(633\) −10.2520 12.2178i −0.407479 0.485615i
\(634\) −18.3987 + 3.24419i −0.730707 + 0.128843i
\(635\) −39.3698 5.39801i −1.56234 0.214214i
\(636\) 0.917413 + 5.20291i 0.0363778 + 0.206309i
\(637\) 4.50595 7.80454i 0.178532 0.309227i
\(638\) 1.19271 1.42142i 0.0472199 0.0562744i
\(639\) −10.1912 17.6517i −0.403158 0.698290i
\(640\) 1.76667 + 1.37072i 0.0698337 + 0.0541826i
\(641\) −21.3389 + 7.76672i −0.842835 + 0.306767i −0.727116 0.686515i \(-0.759140\pi\)
−0.115720 + 0.993282i \(0.536917\pi\)
\(642\) 1.99024 1.67001i 0.0785486 0.0659101i
\(643\) 14.1824 + 24.5646i 0.559298 + 0.968733i 0.997555 + 0.0698834i \(0.0222627\pi\)
−0.438257 + 0.898850i \(0.644404\pi\)
\(644\) −4.93840 0.870774i −0.194600 0.0343133i
\(645\) 1.54300 4.80382i 0.0607556 0.189150i
\(646\) 0.876044 1.04403i 0.0344675 0.0410768i
\(647\) −7.84861 2.85666i −0.308561 0.112307i 0.183099 0.983095i \(-0.441387\pi\)
−0.491659 + 0.870788i \(0.663609\pi\)
\(648\) −0.147774 0.0537855i −0.00580513 0.00211289i
\(649\) −6.16708 + 7.34964i −0.242079 + 0.288498i
\(650\) 3.33706 6.96050i 0.130890 0.273013i
\(651\) −2.45622 0.433097i −0.0962667 0.0169744i
\(652\) 1.51480 + 2.62371i 0.0593242 + 0.102752i
\(653\) −9.84771 + 8.26321i −0.385371 + 0.323364i −0.814807 0.579733i \(-0.803157\pi\)
0.429436 + 0.903097i \(0.358712\pi\)
\(654\) −9.07056 + 3.30141i −0.354687 + 0.129095i
\(655\) −9.50016 + 12.2444i −0.371202 + 0.478427i
\(656\) −0.830191 1.43793i −0.0324135 0.0561419i
\(657\) −12.7172 + 15.1558i −0.496145 + 0.591283i
\(658\) −2.63718 + 4.56772i −0.102808 + 0.178068i
\(659\) 3.18898 + 18.0856i 0.124225 + 0.704515i 0.981765 + 0.190098i \(0.0608805\pi\)
−0.857540 + 0.514417i \(0.828008\pi\)
\(660\) −2.04794 0.280794i −0.0797160 0.0109299i
\(661\) −0.545303 + 0.0961516i −0.0212098 + 0.00373987i −0.184243 0.982881i \(-0.558983\pi\)
0.163033 + 0.986621i \(0.447872\pi\)
\(662\) −4.93694 5.88362i −0.191880 0.228673i
\(663\) −0.457420 + 1.25675i −0.0177647 + 0.0488082i
\(664\) −1.38948 3.81756i −0.0539223 0.148150i
\(665\) −0.545904 + 3.98149i −0.0211693 + 0.154396i
\(666\) −6.24187 9.56343i −0.241868 0.370575i
\(667\) 9.89037i 0.382957i
\(668\) 0.265056 0.0964724i 0.0102553 0.00373263i
\(669\) −21.6428 7.87735i −0.836760 0.304556i
\(670\) −11.0664 + 6.96696i −0.427533 + 0.269157i
\(671\) 1.63398 0.288115i 0.0630792 0.0111226i
\(672\) 1.14239 0.0440686
\(673\) 34.0710 6.00764i 1.31334 0.231577i 0.527261 0.849703i \(-0.323219\pi\)
0.786079 + 0.618126i \(0.212108\pi\)
\(674\) 13.9180 + 8.03556i 0.536101 + 0.309518i
\(675\) 21.3232 14.5925i 0.820730 0.561664i
\(676\) 5.30831 + 9.19426i 0.204166 + 0.353625i
\(677\) −25.8495 14.9242i −0.993477 0.573584i −0.0871652 0.996194i \(-0.527781\pi\)
−0.906312 + 0.422610i \(0.861114\pi\)
\(678\) −3.56834 9.80392i −0.137041 0.376517i
\(679\) −7.65044 9.11744i −0.293597 0.349895i
\(680\) −1.69287 + 0.690601i −0.0649187 + 0.0264833i
\(681\) 13.2455 + 2.33554i 0.507568 + 0.0894979i
\(682\) 1.87599 + 0.330787i 0.0718352 + 0.0126665i
\(683\) 23.6104 + 19.8115i 0.903428 + 0.758066i 0.970857 0.239658i \(-0.0770352\pi\)
−0.0674291 + 0.997724i \(0.521480\pi\)
\(684\) −1.07032 + 2.94069i −0.0409248 + 0.112440i
\(685\) 12.6467 + 6.66988i 0.483206 + 0.254843i
\(686\) 8.89730 10.6034i 0.339700 0.404839i
\(687\) −10.5040 1.85214i −0.400753 0.0706635i
\(688\) 0.369822 2.09737i 0.0140993 0.0799614i
\(689\) 6.66686 3.84912i 0.253987 0.146640i
\(690\) 9.32419 5.87012i 0.354966 0.223472i
\(691\) 16.7698 6.10370i 0.637952 0.232196i −0.00273673 0.999996i \(-0.500871\pi\)
0.640689 + 0.767801i \(0.278649\pi\)
\(692\) 14.6931 + 8.48304i 0.558546 + 0.322477i
\(693\) 1.52965 0.883144i 0.0581066 0.0335479i
\(694\) −15.4400 12.9557i −0.586093 0.491791i
\(695\) 15.4457 + 11.9840i 0.585888 + 0.454579i
\(696\) −0.391256 2.21892i −0.0148305 0.0841081i
\(697\) 1.35761 0.0514231
\(698\) −0.0949475 0.538474i −0.00359382 0.0203815i
\(699\) −6.22378 + 5.22237i −0.235405 + 0.197528i
\(700\) 3.13942 4.38278i 0.118659 0.165654i
\(701\) −3.08447 8.47452i −0.116499 0.320078i 0.867715 0.497063i \(-0.165588\pi\)
−0.984214 + 0.176984i \(0.943366\pi\)
\(702\) 7.97794i 0.301108i
\(703\) −8.49052 + 5.54160i −0.320226 + 0.209005i
\(704\) −0.872522 −0.0328844
\(705\) −2.44760 11.3275i −0.0921819 0.426617i
\(706\) −11.5611 4.20791i −0.435109 0.158367i
\(707\) 1.78545 + 2.12781i 0.0671487 + 0.0800247i
\(708\) 2.02305 + 11.4733i 0.0760307 + 0.431192i
\(709\) 34.7424i 1.30478i 0.757884 + 0.652389i \(0.226233\pi\)
−0.757884 + 0.652389i \(0.773767\pi\)
\(710\) 24.2578 0.928849i 0.910378 0.0348591i
\(711\) −8.03539 4.63924i −0.301351 0.173985i
\(712\) 9.84736 11.7356i 0.369045 0.439811i
\(713\) −8.79334 + 5.07684i −0.329313 + 0.190129i
\(714\) −0.467036 + 0.808930i −0.0174784 + 0.0302734i
\(715\) 0.636147 + 2.94408i 0.0237905 + 0.110102i
\(716\) −9.24141 11.0135i −0.345368 0.411593i
\(717\) 3.49282 + 6.04974i 0.130442 + 0.225932i
\(718\) −4.61695 + 26.1840i −0.172303 + 0.977179i
\(719\) −7.62793 + 43.2601i −0.284474 + 1.61333i 0.422686 + 0.906276i \(0.361087\pi\)
−0.707160 + 0.707054i \(0.750024\pi\)
\(720\) 3.11035 2.81958i 0.115916 0.105080i
\(721\) −1.85751 + 5.10346i −0.0691772 + 0.190063i
\(722\) −15.2434 5.54814i −0.567300 0.206480i
\(723\) 21.8898 + 18.3677i 0.814091 + 0.683103i
\(724\) 2.68160 15.2081i 0.0996608 0.565204i
\(725\) −9.58815 4.59682i −0.356095 0.170722i
\(726\) −9.39455 + 5.42395i −0.348664 + 0.201301i
\(727\) −16.3714 + 13.7372i −0.607180 + 0.509484i −0.893744 0.448577i \(-0.851931\pi\)
0.286565 + 0.958061i \(0.407487\pi\)
\(728\) −0.569327 1.56421i −0.0211007 0.0579736i
\(729\) 8.06507 13.9691i 0.298706 0.517375i
\(730\) −8.90048 21.8178i −0.329421 0.807511i
\(731\) 1.33396 + 1.11933i 0.0493384 + 0.0413998i
\(732\) 1.00737 1.74482i 0.0372335 0.0644904i
\(733\) 49.0798 8.65409i 1.81280 0.319646i 0.838503 0.544897i \(-0.183431\pi\)
0.974301 + 0.225251i \(0.0723201\pi\)
\(734\) 9.82550i 0.362666i
\(735\) 0.529153 + 13.8193i 0.0195181 + 0.509734i
\(736\) 3.56267 2.98944i 0.131322 0.110192i
\(737\) 1.74520 4.79491i 0.0642854 0.176623i
\(738\) −2.92931 + 1.06618i −0.107829 + 0.0392467i
\(739\) −28.3679 −1.04353 −0.521765 0.853089i \(-0.674726\pi\)
−0.521765 + 0.853089i \(0.674726\pi\)
\(740\) 13.5428 1.26218i 0.497843 0.0463987i
\(741\) −2.72640 −0.100157
\(742\) 5.05235 1.83890i 0.185478 0.0675083i
\(743\) 14.5077 39.8595i 0.532235 1.46230i −0.324170 0.945999i \(-0.605085\pi\)
0.856405 0.516305i \(-0.172693\pi\)
\(744\) 1.77197 1.48686i 0.0649635 0.0545108i
\(745\) 5.76354 0.220690i 0.211160 0.00808547i
\(746\) 26.2336i 0.960479i
\(747\) −7.51144 + 1.32447i −0.274829 + 0.0484598i
\(748\) 0.356708 0.617837i 0.0130425 0.0225904i
\(749\) −2.02544 1.69954i −0.0740079 0.0621000i
\(750\) 1.35708 + 11.7676i 0.0495534 + 0.429690i
\(751\) 13.4911 23.3673i 0.492297 0.852683i −0.507664 0.861555i \(-0.669491\pi\)
0.999961 + 0.00887216i \(0.00282413\pi\)
\(752\) −1.67304 4.59665i −0.0610097 0.167623i
\(753\) 4.20949 3.53218i 0.153402 0.128720i
\(754\) −2.84327 + 1.64156i −0.103546 + 0.0597822i
\(755\) 47.4176 + 15.2307i 1.72570 + 0.554301i
\(756\) 0.967560 5.48730i 0.0351898 0.199571i
\(757\) −26.1873 21.9738i −0.951795 0.798651i 0.0278040 0.999613i \(-0.491149\pi\)
−0.979599 + 0.200963i \(0.935593\pi\)
\(758\) 4.69149 + 1.70756i 0.170403 + 0.0620215i
\(759\) −1.47045 + 4.04003i −0.0533740 + 0.146644i
\(760\) −2.50326 2.76140i −0.0908027 0.100167i
\(761\) −2.73193 + 15.4935i −0.0990322 + 0.561640i 0.894405 + 0.447259i \(0.147600\pi\)
−0.993437 + 0.114381i \(0.963511\pi\)
\(762\) 3.26959 18.5428i 0.118445 0.671733i
\(763\) 4.91169 + 8.50730i 0.177815 + 0.307985i
\(764\) −2.12199 2.52889i −0.0767710 0.0914922i
\(765\) 0.724973 + 3.35517i 0.0262115 + 0.121306i
\(766\) −16.1871 + 28.0369i −0.584864 + 1.01301i
\(767\) 14.7015 8.48793i 0.530841 0.306481i
\(768\) −0.681032 + 0.811623i −0.0245746 + 0.0292869i
\(769\) −20.7470 11.9783i −0.748157 0.431949i 0.0768704 0.997041i \(-0.475507\pi\)
−0.825028 + 0.565092i \(0.808841\pi\)
\(770\) 0.0804917 + 2.10212i 0.00290072 + 0.0757550i
\(771\) 22.3775i 0.805906i