Properties

Label 370.2.v.b.289.5
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 289.5
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.362370 + 0.995603i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.12894 - 0.683822i) q^{5} +1.05950i q^{6} +(-1.06185 + 0.187234i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.43822 + 1.20681i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.362370 + 0.995603i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.12894 - 0.683822i) q^{5} +1.05950i q^{6} +(-1.06185 + 0.187234i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.43822 + 1.20681i) q^{9} +(1.76667 - 1.37072i) 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} +(-0.0906487 + 2.36738i) 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} +(1.19131 - 1.89229i) 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} +(4.06478 - 2.91163i) 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} +(0.724508 + 2.25561i) q^{30} -2.18324i q^{31} +(-0.173648 - 0.984808i) q^{32} +(0.594216 + 0.708159i) q^{33} +(-0.768338 - 0.279652i) q^{34} +(-2.13259 + 1.12473i) q^{35} +1.87746 q^{36} +(-4.86631 - 3.64952i) q^{37} +1.66683i q^{38} +(0.559434 + 1.53703i) q^{39} +(0.472263 - 2.18563i) q^{40} +(1.27193 - 1.06727i) q^{41} +(-0.198374 - 1.12503i) q^{42} -2.12972 q^{43} +(-0.151512 - 0.859267i) q^{44} +(3.88713 + 1.58574i) 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} +(2.82380 - 4.12627i) 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} +(0.412060 - 1.90701i) 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} +(1.45228 + 1.87178i) 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} +(1.83917 - 2.92136i) q^{65} +(0.800585 + 0.462218i) q^{66} +(-5.75930 + 1.01552i) q^{67} -0.817648 q^{68} +(-4.85259 + 0.855643i) q^{69} +(-1.61930 + 1.78629i) 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} +(-1.69287 - 0.690601i) 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} +(4.19506 + 0.160632i) 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} +(-0.142611 + 3.72442i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) 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 −0.999269 0.0382246i \(-0.987830\pi\)
0.790055 + 0.613036i \(0.210052\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 2.12894 0.683822i 0.952091 0.305814i
\(6\) 1.05950i 0.432538i
\(7\) −1.06185 + 0.187234i −0.401343 + 0.0707676i −0.370676 0.928762i \(-0.620874\pi\)
−0.0306666 + 0.999530i \(0.509763\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 1.43822 + 1.20681i 0.479407 + 0.402270i
\(10\) 1.76667 1.37072i 0.558670 0.433461i
\(11\) 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 −0.463882 0.885897i \(-0.653544\pi\)
0.791886 + 0.610669i \(0.209099\pi\)
\(14\) −0.933779 + 0.539117i −0.249563 + 0.144085i
\(15\) −0.0906487 + 2.36738i −0.0234054 + 0.611254i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.626355 0.525574i −0.151913 0.127470i 0.563663 0.826005i \(-0.309392\pi\)
−0.715577 + 0.698534i \(0.753836\pi\)
\(18\) 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 \(0.172349\pi\)
\(20\) 1.19131 1.89229i 0.266385 0.423130i
\(21\) 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 0.999849 0.0173800i \(-0.00553250\pi\)
−0.514976 + 0.857205i \(0.672199\pi\)
\(24\) 0.681032 + 0.811623i 0.139015 + 0.165672i
\(25\) 4.06478 2.91163i 0.812955 0.582326i
\(26\) 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 \(0.729933\pi\)
\(30\) 0.724508 + 2.25561i 0.132276 + 0.411816i
\(31\) 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
\(35\) −2.13259 + 1.12473i −0.360473 + 0.190114i
\(36\) 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
\(40\) 0.472263 2.18563i 0.0746713 0.345578i
\(41\) 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 \(-0.551920\pi\)
−0.162390 + 0.986727i \(0.551920\pi\)
\(44\) −0.151512 0.859267i −0.0228413 0.129539i
\(45\) 3.88713 + 1.58574i 0.579459 + 0.236388i
\(46\) 3.56267 + 2.98944i 0.525287 + 0.440768i
\(47\) −4.23630 + 2.44583i −0.617928 + 0.356761i −0.776062 0.630657i \(-0.782786\pi\)
0.158134 + 0.987418i \(0.449452\pi\)
\(48\) 0.917552 + 0.529749i 0.132437 + 0.0764627i
\(49\) −5.48537 + 1.99651i −0.783624 + 0.285216i
\(50\) 2.82380 4.12627i 0.399346 0.583543i
\(51\) 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 0.500417 0.865784i \(-0.333180\pi\)
0.174123 + 0.984724i \(0.444291\pi\)
\(54\) −3.32171 + 3.95866i −0.452028 + 0.538705i
\(55\) 0.412060 1.90701i 0.0555622 0.257141i
\(56\) −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 \(0.809484\pi\)
\(60\) 1.45228 + 1.87178i 0.187488 + 0.241646i
\(61\) 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
\(65\) 1.83917 2.92136i 0.228121 0.362350i
\(66\) 0.800585 + 0.462218i 0.0985452 + 0.0568951i
\(67\) −5.75930 + 1.01552i −0.703610 + 0.124065i −0.513995 0.857793i \(-0.671835\pi\)
−0.189615 + 0.981859i \(0.560724\pi\)
\(68\) −0.817648 −0.0991544
\(69\) −4.85259 + 0.855643i −0.584183 + 0.103007i
\(70\) −1.61930 + 1.78629i −0.193543 + 0.213502i
\(71\) −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 \(-0.788477\pi\)
0.787212 0.616682i \(-0.211523\pi\)
\(74\) −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 −0.603443 0.797406i \(-0.706205\pi\)
0.890078 + 0.455808i \(0.150650\pi\)
\(84\) −0.571194 0.989337i −0.0623224 0.107946i
\(85\) −1.69287 0.690601i −0.183618 0.0749062i
\(86\) −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 \(0.857147\pi\)
\(90\) 4.19506 + 0.160632i 0.442198 + 0.0169321i
\(91\) −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
\(95\) −0.142611 + 3.72442i −0.0146316 + 0.382118i
\(96\) 1.04340 + 0.183980i 0.106492 + 0.0187774i
\(97\) 5.51919 + 9.55952i 0.560389 + 0.970622i 0.997462 + 0.0711965i \(0.0226817\pi\)
−0.437073 + 0.899426i \(0.643985\pi\)
\(98\) −4.47172 + 3.75221i −0.451711 + 0.379031i
\(99\) 1.53934 0.560273i 0.154709 0.0563096i
\(100\) 1.24224 4.84323i 0.124224 0.484323i
\(101\) 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 −0.714861 0.699266i \(-0.753510\pi\)
0.963013 + 0.269455i \(0.0868435\pi\)
\(104\) −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 0.836834 0.547457i \(-0.184404\pi\)
−0.684454 + 0.729056i \(0.739959\pi\)
\(108\) −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 0.132120 0.991234i \(-0.457822\pi\)
0.738363 + 0.674404i \(0.235599\pi\)
\(114\) −1.65950 0.604010i −0.155427 0.0565707i
\(115\) 7.70477 + 6.98450i 0.718474 + 0.651308i
\(116\) −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
\(120\) 2.00488 + 1.26219i 0.183020 + 0.115222i
\(121\) 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
\(125\) 6.66263 8.97827i 0.595923 0.803041i
\(126\) −1.99359 0.351524i −0.177603 0.0313162i
\(127\) 17.5015 + 3.08598i 1.55300 + 0.273836i 0.883305 0.468798i \(-0.155313\pi\)
0.669697 + 0.742634i \(0.266424\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) 0.771747 2.12036i 0.0679485 0.186687i
\(130\) 0.729089 3.37422i 0.0639453 0.295938i
\(131\) −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
\(135\) −7.76083 + 8.56115i −0.667946 + 0.736827i
\(136\) −0.768338 + 0.279652i −0.0658845 + 0.0239800i
\(137\) −5.53751 3.19708i −0.473101 0.273145i 0.244436 0.969665i \(-0.421397\pi\)
−0.717537 + 0.696520i \(0.754731\pi\)
\(138\) −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 \(0.601313\pi\)
\(140\) −0.910697 + 2.23239i −0.0769680 + 0.188672i
\(141\) −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
\(145\) −4.64801 1.00433i −0.385996 0.0834048i
\(146\) −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 \(0.466305\pi\)
\(150\) 3.08487 + 4.30662i 0.251879 + 0.351634i
\(151\) 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
\(155\) −1.49295 4.64799i −0.119916 0.373335i
\(156\) 1.41654 + 0.817837i 0.113414 + 0.0654794i
\(157\) 4.13022 4.92220i 0.329627 0.392834i −0.575622 0.817716i \(-0.695240\pi\)
0.905249 + 0.424882i \(0.139684\pi\)
\(158\) −4.27992 + 2.47101i −0.340492 + 0.196583i
\(159\) −2.64158 + 4.57536i −0.209491 + 0.362850i
\(160\) −1.04312 1.97785i −0.0824659 0.156363i
\(161\) −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 −0.957248 0.289267i \(-0.906588\pi\)
0.998454 + 0.0555758i \(0.0176994\pi\)
\(164\) 0.288322 1.63516i 0.0225142 0.127684i
\(165\) 1.74931 + 1.10129i 0.136183 + 0.0857354i
\(166\) 1.38948 3.81756i 0.107845 0.296300i
\(167\) −0.265056 0.0964724i −0.0205106 0.00746526i 0.331744 0.943369i \(-0.392363\pi\)
−0.352255 + 0.935904i \(0.614585\pi\)
\(168\) −0.875120 0.734313i −0.0675170 0.0566535i
\(169\) −1.84356 + 10.4553i −0.141812 + 0.804256i
\(170\) −1.82698 0.0699565i −0.140123 0.00536542i
\(171\) −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 \(-0.887988\pi\)
0.497546 0.867438i \(-0.334235\pi\)
\(174\) 1.12658 1.95129i 0.0854056 0.147927i
\(175\) −3.77104 + 3.85279i −0.285064 + 0.291244i
\(176\) −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 \(-0.180554\pi\)
\(180\) 3.99701 1.28385i 0.297919 0.0956926i
\(181\) 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
\(185\) −12.8557 4.44192i −0.945171 0.326576i
\(186\) 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
\(190\) 1.13982 + 3.54859i 0.0826910 + 0.257442i
\(191\) 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 −0.598886 0.800834i \(-0.704390\pi\)
0.992986 + 0.118234i \(0.0377232\pi\)
\(194\) 8.45589 + 7.09534i 0.607098 + 0.509416i
\(195\) 2.24206 + 2.88970i 0.160557 + 0.206935i
\(196\) −2.91870 + 5.05535i −0.208479 + 0.361096i
\(197\) 6.48938 + 17.8294i 0.462349 + 1.27029i 0.923714 + 0.383084i \(0.125138\pi\)
−0.461364 + 0.887211i \(0.652640\pi\)
\(198\) 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 \(0.228790\pi\)
\(200\) −0.489160 4.97601i −0.0345888 0.351857i
\(201\) 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
\(205\) 1.97803 3.14193i 0.138152 0.219442i
\(206\) 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
\(210\) −1.19165 2.25948i −0.0822315 0.155919i
\(211\) 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
\(215\) −4.53405 + 1.45635i −0.309220 + 0.0993223i
\(216\) 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
\(220\) −0.910145 1.72572i −0.0613620 0.116348i
\(221\) −1.26230 −0.0849116
\(222\) 3.86666 5.15585i 0.259513 0.346038i
\(223\) 21.7384i 1.45571i 0.685730 + 0.727856i \(0.259483\pi\)
−0.685730 + 0.727856i \(0.740517\pi\)
\(224\) 0.368778 + 1.01321i 0.0246400 + 0.0676979i
\(225\) 9.35983 + 0.717843i 0.623989 + 0.0478562i
\(226\) 7.54341 6.32967i 0.501780 0.421043i
\(227\) −2.20438 12.5017i −0.146310 0.829764i −0.966306 0.257395i \(-0.917136\pi\)
0.819996 0.572369i \(-0.193975\pi\)
\(228\) −1.76601 −0.116957
\(229\) −1.74813 9.91413i −0.115520 0.655144i −0.986492 0.163812i \(-0.947621\pi\)
0.870972 0.491332i \(-0.163490\pi\)
\(230\) 9.62896 + 3.92810i 0.634915 + 0.259011i
\(231\) −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 0.701501 0.712668i \(-0.252513\pi\)
−0.266438 + 0.963852i \(0.585847\pi\)
\(234\) 2.72367 0.991333i 0.178052 0.0648055i
\(235\) −7.34632 + 8.10390i −0.479221 + 0.528640i
\(236\) −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 \(0.290625\pi\)
\(240\) 2.31567 + 0.500362i 0.149476 + 0.0322982i
\(241\) −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
\(245\) −10.3128 + 8.00147i −0.658859 + 0.511195i
\(246\) 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
\(250\) 3.19007 10.7156i 0.201758 0.677712i
\(251\) 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
\(255\) 1.30101 1.43517i 0.0814724 0.0898741i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −19.8471 + 7.22375i −1.23803 + 0.450605i −0.876340 0.481694i \(-0.840022\pi\)
−0.361689 + 0.932299i \(0.617800\pi\)
\(258\) 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 \(0.161477\pi\)
0.326654 + 0.945144i \(0.394079\pi\)
\(264\) 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 \(0.922756\pi\)
\(270\) −4.36471 + 10.6992i −0.265627 + 0.651133i
\(271\) −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
\(275\) −0.426803 4.34168i −0.0257372 0.261813i
\(276\) −3.16730 + 3.77465i −0.190649 + 0.227207i
\(277\) 22.5852 + 8.22034i 1.35701 + 0.493913i 0.915130 0.403160i \(-0.132088\pi\)
0.441884 + 0.897072i \(0.354310\pi\)
\(278\) 8.21557 + 2.99022i 0.492737 + 0.179342i
\(279\) 2.63476 3.13998i 0.157739 0.187986i
\(280\) −0.0922517 + 2.40924i −0.00551310 + 0.143980i
\(281\) −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 −0.358414 0.933563i \(-0.616682\pi\)
0.857142 + 0.515080i \(0.172238\pi\)
\(284\) −10.2016 + 3.71309i −0.605356 + 0.220332i
\(285\) −3.65637 1.49160i −0.216584 0.0883549i
\(286\) −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 −0.898015 0.439966i \(-0.854991\pi\)
0.970724 + 0.240199i \(0.0772128\pi\)
\(294\) −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
\(300\) 4.37178 + 2.99181i 0.252405 + 0.172732i
\(301\) 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
\(305\) 3.59839 + 2.26540i 0.206043 + 0.129716i
\(306\) −0.767552 1.32944i −0.0438781 0.0759990i
\(307\) 0.732784 + 0.423073i 0.0418222 + 0.0241461i 0.520765 0.853700i \(-0.325647\pi\)
−0.478943 + 0.877846i \(0.658980\pi\)
\(308\) 0.321767 + 0.884048i 0.0183344 + 0.0503733i
\(309\) 3.43031 + 4.08809i 0.195144 + 0.232563i
\(310\) −2.99262 3.85706i −0.169969 0.219066i
\(311\) −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 0.760345 0.649520i \(-0.225030\pi\)
−0.507619 + 0.861581i \(0.669474\pi\)
\(314\) 2.19764 6.03797i 0.124020 0.340743i
\(315\) −4.42447 0.956024i −0.249290 0.0538658i
\(316\) −3.17667 + 3.78581i −0.178702 + 0.212968i
\(317\) −18.3987 3.24419i −1.03338 0.182212i −0.368859 0.929485i \(-0.620252\pi\)
−0.664517 + 0.747273i \(0.731363\pi\)
\(318\) −0.917413 + 5.20291i −0.0514460 + 0.291764i
\(319\) −1.60693 + 0.927764i −0.0899710 + 0.0519448i
\(320\) −1.65668 1.50181i −0.0926111 0.0839535i
\(321\) −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
\(325\) 1.91779 7.47707i 0.106380 0.414753i
\(326\) −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
\(330\) 2.02047 + 0.436577i 0.111223 + 0.0240328i
\(331\) 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
\(335\) −11.5668 + 6.10031i −0.631960 + 0.333296i
\(336\) −1.07349 0.390720i −0.0585639 0.0213155i
\(337\) 10.3303 + 12.3112i 0.562728 + 0.670633i 0.970121 0.242620i \(-0.0780067\pi\)
−0.407394 + 0.913253i \(0.633562\pi\)
\(338\) 1.84356 + 10.4553i 0.100276 + 0.568695i
\(339\) 10.4331i 0.566649i
\(340\) −1.74072 + 0.559126i −0.0944041 + 0.0303229i
\(341\) −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
\(345\) −9.74577 + 5.13992i −0.524695 + 0.276724i
\(346\) −10.9056 12.9968i −0.586288 0.698711i
\(347\) −10.0777 17.4551i −0.541001 0.937041i −0.998847 0.0480094i \(-0.984712\pi\)
0.457846 0.889031i \(-0.348621\pi\)
\(348\) 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 \(0.0602140\pi\)
\(350\) −2.22589 + 4.91021i −0.118979 + 0.262462i
\(351\) −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 0.356544 0.934278i \(-0.383955\pi\)
−0.858171 + 0.513363i \(0.828399\pi\)
\(354\) 2.02305 11.4733i 0.107524 0.609797i
\(355\) −24.2578 0.928849i −1.28747 0.0492982i
\(356\) −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 \(-0.0808771\pi\)
\(360\) 3.31686 2.57348i 0.174814 0.135634i
\(361\) 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
\(365\) −7.20602 22.4345i −0.377180 1.17427i
\(366\) −1.54338 + 1.29505i −0.0806739 + 0.0676935i
\(367\) 3.36052 9.23295i 0.175418 0.481956i −0.820560 0.571561i \(-0.806338\pi\)
0.995977 + 0.0896048i \(0.0285604\pi\)
\(368\) 4.37026 1.59065i 0.227816 0.0829182i
\(369\) 3.11731 0.162280
\(370\) −13.5996 + 0.222876i −0.707012 + 0.0115867i
\(371\) −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 \(0.348767\pi\)
−0.922011 + 0.387164i \(0.873455\pi\)
\(374\) −0.546509 + 0.458575i −0.0282593 + 0.0237124i
\(375\) 6.52446 + 9.88678i 0.336922 + 0.510551i
\(376\) 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 \(0.763150\pi\)
\(380\) 2.28477 + 2.94474i 0.117206 + 0.151062i
\(381\) −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 \(0.587801\pi\)
−0.994873 + 0.101130i \(0.967754\pi\)
\(384\) 0.917552 0.529749i 0.0468237 0.0270336i
\(385\) −0.0804917 + 2.10212i −0.00410224 + 0.107134i
\(386\) 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 \(0.949517\pi\)
\(390\) 3.09518 + 1.94860i 0.156730 + 0.0986710i
\(391\) 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
\(395\) −9.77460 + 5.15512i −0.491813 + 0.259382i
\(396\) 0.819064 1.41866i 0.0411595 0.0712904i
\(397\) −28.7635 + 16.6066i −1.44360 + 0.833461i −0.998088 0.0618156i \(-0.980311\pi\)
−0.445510 + 0.895277i \(0.646978\pi\)
\(398\) 5.84969 6.97138i 0.293218 0.349444i
\(399\) 1.64906 + 0.952085i 0.0825562 + 0.0476639i
\(400\) −2.16156 4.50862i −0.108078 0.225431i
\(401\) 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
\(405\) 0.164039 + 0.311034i 0.00815117 + 0.0154554i
\(406\) 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 \(0.981154\pi\)
\(410\) 0.784137 3.62898i 0.0387258 0.179222i
\(411\) 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
\(415\) 3.43132 8.41120i 0.168437 0.412889i
\(416\) −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 \(0.251832\pi\)
\(420\) −1.89257 1.71564i −0.0923479 0.0837149i
\(421\) 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
\(425\) −4.07627 0.312626i −0.197728 0.0151646i
\(426\) 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
\(430\) −3.76251 + 2.91926i −0.181445 + 0.140779i
\(431\) −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 0.275314 0.961354i \(-0.411218\pi\)
−0.694900 + 0.719106i \(0.744551\pi\)
\(434\) 1.17702 + 2.03866i 0.0564989 + 0.0978590i
\(435\) 2.68421 4.26363i 0.128698 0.204426i
\(436\) 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 \(0.515661\pi\)
\(440\) −1.44549 1.31036i −0.0689109 0.0624689i
\(441\) −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 \(-0.677257\pi\)
0.528531 0.848914i \(-0.322743\pi\)
\(444\) 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
\(455\) −1.40595 + 3.44641i −0.0659121 + 0.161570i
\(456\) −1.65950 + 0.604010i −0.0777134 + 0.0282853i
\(457\) −25.8346 + 21.6778i −1.20849 + 1.01404i −0.209144 + 0.977885i \(0.567068\pi\)
−0.999346 + 0.0361587i \(0.988488\pi\)
\(458\) −5.03353 8.71834i −0.235202 0.407381i
\(459\) 4.16114 + 0.733721i 0.194225 + 0.0342472i
\(460\) 10.3918 + 0.397908i 0.484518 + 0.0185526i
\(461\) 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 0.944816 0.327600i \(-0.106240\pi\)
0.513194 + 0.858273i \(0.328462\pi\)
\(464\) −1.36697 + 1.62909i −0.0634599 + 0.0756286i
\(465\) 5.16855 + 0.197908i 0.239686 + 0.00917776i
\(466\) 7.55181 + 1.33159i 0.349831 + 0.0616846i
\(467\) −9.94276 17.2214i −0.460096 0.796910i 0.538869 0.842390i \(-0.318852\pi\)
−0.998965 + 0.0454795i \(0.985518\pi\)
\(468\) 2.22035 1.86310i 0.102636 0.0861217i
\(469\) 5.92539 2.15667i 0.273609 0.0995856i
\(470\) −4.13158 + 10.1278i −0.190576 + 0.467159i
\(471\) 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
\(485\) 18.2870 + 16.5775i 0.830372 + 0.752746i
\(486\) −15.4316 + 2.72100i −0.699989 + 0.123427i
\(487\) 36.5419 1.65587 0.827937 0.560822i \(-0.189515\pi\)
0.827937 + 0.560822i \(0.189515\pi\)
\(488\) 1.87271 0.330210i 0.0847737 0.0149479i
\(489\) 2.77982 + 1.60493i 0.125708 + 0.0725774i
\(490\) −6.95417 + 11.0461i −0.314157 + 0.499012i
\(491\) 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
\(495\) 2.89403 2.24542i 0.130077 0.100924i
\(496\) −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 \(-0.211427\pi\)
\(500\) −0.667256 11.1604i −0.0298406 0.499109i
\(501\) 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 \(0.409882\pi\)
−0.590904 + 0.806742i \(0.701229\pi\)
\(504\) −1.75314 + 1.01217i −0.0780909 + 0.0450858i
\(505\) 4.26780 + 3.86883i 0.189915 + 0.172161i
\(506\) 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 \(0.571741\pi\)
\(510\) 0.731691 1.79359i 0.0323998 0.0794217i
\(511\) 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
\(515\) 2.37876 11.0088i 0.104820 0.485108i
\(516\) −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
\(520\) −1.61039 3.05345i −0.0706202 0.133903i
\(521\) −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 \(-0.972019\pi\)
0.906038 0.423196i \(-0.139092\pi\)
\(524\) 6.93076i 0.302772i
\(525\) −2.46934 5.15060i −0.107771 0.224790i
\(526\) 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
\(530\) 9.86253 5.20150i 0.428401 0.225939i
\(531\) −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
\(535\) 4.64024 + 2.92130i 0.200615 + 0.126299i
\(536\) −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
\(540\) −0.442136 + 11.5468i −0.0190265 + 0.496895i
\(541\) 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
\(545\) 12.4881 + 16.0954i 0.534933 + 0.689453i
\(546\) −1.35103 1.13365i −0.0578186 0.0485156i
\(547\) 21.5669 37.3550i 0.922135 1.59718i 0.126030 0.992026i \(-0.459777\pi\)
0.796105 0.605158i \(-0.206890\pi\)
\(548\) −6.29702 + 1.11033i −0.268995 + 0.0474311i
\(549\) 3.57019i 0.152372i
\(550\) −1.88601 3.93387i −0.0804196 0.167741i
\(551\) 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
\(555\) 9.08091 11.1896i 0.385463 0.474971i
\(556\) 8.74282 0.370778
\(557\) −25.8419 + 9.40569i −1.09496 + 0.398532i −0.825455 0.564468i \(-0.809081\pi\)
−0.269502 + 0.963000i \(0.586859\pi\)
\(558\) 1.40192 3.85176i 0.0593482 0.163058i
\(559\) −2.51868 + 2.11343i −0.106529 + 0.0893884i
\(560\) 0.737321 + 2.29550i 0.0311575 + 0.0970025i
\(561\) 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 \(-0.631327\pi\)
0.993843 0.110795i \(-0.0353398\pi\)
\(564\) −3.97018 3.33138i −0.167175 0.140276i
\(565\) 17.3968 13.4978i 0.731888 0.567857i
\(566\) 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 \(0.0568439\pi\)
\(570\) −3.94602 0.151096i −0.165281 0.00632872i
\(571\) −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
\(575\) 21.1792 + 9.60090i 0.883232 + 0.400385i
\(576\) 0.326018 1.84894i 0.0135841 0.0770392i
\(577\) −4.51304 + 25.5947i −0.187880 + 1.06552i 0.734318 + 0.678805i \(0.237502\pi\)
−0.922199 + 0.386716i \(0.873609\pi\)
\(578\) −8.16573 14.1435i −0.339649 0.588290i
\(579\) 7.45731 + 8.88728i 0.309915 + 0.369343i
\(580\) −4.20615 + 2.21832i −0.174651 + 0.0921109i
\(581\) −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
\(585\) 6.17066 1.98203i 0.255125 0.0819470i
\(586\) 3.63890i 0.150322i
\(587\) −7.24062 41.0636i −0.298852 1.69488i −0.651119 0.758976i \(-0.725700\pi\)
0.352267 0.935900i \(-0.385411\pi\)
\(588\) −3.97547 4.73777i −0.163945 0.195383i
\(589\) 3.41963 + 1.24464i 0.140903 + 0.0512847i
\(590\) −21.7485 + 11.4702i −0.895371 + 0.472219i
\(591\) −20.1026 −0.826910
\(592\) −4.43910 + 4.15865i −0.182446 + 0.170919i
\(593\) 28.6164i 1.17514i 0.809175 + 0.587568i \(0.199915\pi\)
−0.809175 + 0.587568i \(0.800085\pi\)
\(594\) 1.54214 + 4.23698i 0.0632746 + 0.173846i
\(595\) 1.92689 + 0.416355i 0.0789946 + 0.0170689i
\(596\) 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 \(-0.219350\pi\)
\(600\) 5.13139 + 1.31615i 0.209488 + 0.0537315i
\(601\) 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
\(605\) 16.9622 + 15.3765i 0.689613 + 0.625145i
\(606\) −2.36373 + 1.36470i −0.0960199 + 0.0554371i
\(607\) 4.77849 27.1002i 0.193953 1.09996i −0.719949 0.694027i \(-0.755835\pi\)
0.913902 0.405935i \(-0.133054\pi\)
\(608\) 1.64151 + 0.289442i 0.0665720 + 0.0117384i
\(609\) −1.56161 + 1.86105i −0.0632795 + 0.0754136i
\(610\) 4.15619 + 0.898056i 0.168279 + 0.0363612i
\(611\) −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 −0.198854 0.980029i \(-0.563722\pi\)
−0.522052 + 0.852914i \(0.674833\pi\)
\(614\) 0.833291 + 0.146932i 0.0336289 + 0.00592968i
\(615\) 2.41134 + 3.10787i 0.0972345 + 0.125322i
\(616\) 0.604724 + 0.720682i 0.0243650 + 0.0290371i
\(617\) 3.72701 + 10.2399i 0.150044 + 0.412242i 0.991830 0.127570i \(-0.0407176\pi\)
−0.841786 + 0.539812i \(0.818495\pi\)
\(618\) 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 \(0.851190\pi\)
\(620\) −4.13133 2.60092i −0.165918 0.104455i
\(621\) −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
\(625\) 8.04479 23.6703i 0.321792 0.946810i
\(626\) 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
\(640\) −2.07042 0.844619i −0.0818404 0.0333865i
\(641\) −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 \(-0.977737\pi\)
0.438257 0.898850i \(-0.355596\pi\)
\(644\) −4.93840 0.870774i −0.194600 0.0343133i
\(645\) 0.193057 5.04185i 0.00760159 0.198523i
\(646\) 0.876044 1.04403i 0.0344675 0.0410768i
\(647\) 7.84861 + 2.85666i 0.308561 + 0.112307i 0.491659 0.870788i \(-0.336391\pi\)
−0.183099 + 0.983095i \(0.558613\pi\)
\(648\) 0.147774 + 0.0537855i 0.00580513 + 0.00211289i
\(649\) −6.16708 + 7.34964i −0.242079 + 0.288498i
\(650\) −0.755175 7.68207i −0.0296204 0.301316i
\(651\) −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 −0.429436 0.903097i \(-0.641288\pi\)
0.814807 + 0.579733i \(0.196843\pi\)
\(654\) −9.07056 + 3.30141i −0.354687 + 0.129095i
\(655\) −5.85385 + 14.3496i −0.228729 + 0.560684i
\(656\) −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
\(670\) −8.78277 + 9.68849i −0.339308 + 0.374299i
\(671\) 1.63398 0.288115i 0.0630792 0.0111226i
\(672\) −1.14239 −0.0440686
\(673\) −34.0710 + 6.00764i −1.31334 + 0.231577i −0.786079 0.618126i \(-0.787892\pi\)
−0.527261 + 0.849703i \(0.676781\pi\)
\(674\) 13.9180 + 8.03556i 0.536101 + 0.309518i
\(675\) −10.6680 + 23.5332i −0.410613 + 0.905794i
\(676\) 5.30831 + 9.19426i 0.204166 + 0.353625i
\(677\) 25.8495 + 14.9242i 0.993477 + 0.573584i 0.906312 0.422610i \(-0.138886\pi\)
0.0871652 + 0.996194i \(0.472219\pi\)
\(678\) 3.56834 + 9.80392i 0.137041 + 0.376517i
\(679\) −7.65044 9.11744i −0.293597 0.349895i
\(680\) −1.44451 + 1.12077i −0.0553946 + 0.0429795i
\(681\) 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 0.0674291 0.997724i \(-0.478520\pi\)
−0.970857 + 0.239658i \(0.922965\pi\)
\(684\) −1.07032 + 2.94069i −0.0409248 + 0.112440i
\(685\) −13.9753 3.01973i −0.533967 0.115378i
\(686\) 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
\(690\) −7.40007 + 8.16319i −0.281716 + 0.310767i
\(691\) 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
\(695\) 18.1013 + 7.38435i 0.686620 + 0.280104i
\(696\) −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
\(700\) −0.412260 + 5.37539i −0.0155820 + 0.203171i
\(701\) −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
\(705\) −5.40618 10.2506i −0.203608 0.386061i
\(706\) −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 \(0.773767\pi\)
\(710\) −23.1125 + 7.42381i −0.867398 + 0.278611i
\(711\) −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
\(715\) −1.40510 2.66420i −0.0525478 0.0996355i
\(716\) −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 \(0.750024\pi\)
\(720\) 2.23664 3.55271i 0.0833547 0.132402i
\(721\) −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
\(725\) −10.5821 + 1.04026i −0.393010 + 0.0386343i
\(726\) −9.39455 + 5.42395i −0.348664 + 0.201301i
\(727\) 16.3714 13.7372i 0.607180 0.509484i −0.286565 0.958061i \(-0.592513\pi\)
0.893744 + 0.448577i \(0.148069\pi\)
\(728\) 0.569327 + 1.56421i 0.0211007 + 0.0579736i
\(729\) 8.06507 13.9691i 0.298706 0.517375i
\(730\) −14.4445 18.6169i −0.534615 0.689043i
\(731\) 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 −0.974301 0.225251i \(-0.927680\pi\)
−0.838503 + 0.544897i \(0.816569\pi\)
\(734\) 9.82550i 0.362666i
\(735\) −4.22925 13.1669i −0.155998 0.485669i
\(736\) 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 \(0.674726\pi\)
\(740\) −12.7033 + 4.86079i −0.466981 + 0.178686i
\(741\) −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 \(0.394915\pi\)
−0.856405 + 0.516305i \(0.827307\pi\)
\(744\) 1.77197 1.48686i 0.0649635 0.0545108i
\(745\) 5.49144 1.76387i 0.201191 0.0646230i
\(746\) 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
\(750\) 9.51247 + 7.05904i 0.347346 + 0.257760i
\(751\) 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
\(755\) 49.7671 + 1.90562i 1.81121 + 0.0693527i
\(756\) 0.967560 5.48730i 0.0351898 0.199571i
\(757\) 26.1873 + 21.9738i 0.951795 + 0.798651i 0.979599 0.200963i \(-0.0644070\pi\)
−0.0278040 + 0.999613i \(0.508851\pi\)
\(758\) −4.69149 1.70756i −0.170403 0.0620215i
\(759\) −1.47045 + 4.04003i −0.0533740 + 0.146644i
\(760\) 3.15414 + 1.98572i 0.114413 + 0.0720295i
\(761\) −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
\(765\) −1.60130 3.03621i −0.0578951 0.109774i
\(766\) −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 \(0.808841\pi\)
\(770\) 0.643329 + 2.00287i 0.0231840 + 0.0721785i
\(771\) 22.3775i 0.805906i