Properties

Label 637.2.bl.b.235.11
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.11
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.b.534.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.915145 - 0.137936i) q^{2} +(-1.92299 + 1.31107i) q^{3} +(-1.09268 - 0.337047i) q^{4} +(-0.266734 - 3.55931i) q^{5} +(1.94066 - 0.934572i) q^{6} +(-0.713112 - 2.54784i) q^{7} +(2.62113 + 1.26227i) q^{8} +(0.882955 - 2.24973i) q^{9} +O(q^{10})\) \(q+(-0.915145 - 0.137936i) q^{2} +(-1.92299 + 1.31107i) q^{3} +(-1.09268 - 0.337047i) q^{4} +(-0.266734 - 3.55931i) q^{5} +(1.94066 - 0.934572i) q^{6} +(-0.713112 - 2.54784i) q^{7} +(2.62113 + 1.26227i) q^{8} +(0.882955 - 2.24973i) q^{9} +(-0.246857 + 3.29408i) q^{10} +(-1.69686 - 4.32354i) q^{11} +(2.54311 - 0.784445i) q^{12} +(0.623490 - 0.781831i) q^{13} +(0.301163 + 2.43000i) q^{14} +(5.17944 + 6.49481i) q^{15} +(-0.335025 - 0.228416i) q^{16} +(1.38563 + 1.28568i) q^{17} +(-1.11835 + 1.93704i) q^{18} +(-1.05585 - 1.82878i) q^{19} +(-0.908203 + 3.97910i) q^{20} +(4.71170 + 3.96452i) q^{21} +(0.956506 + 4.19073i) q^{22} +(1.07693 - 0.999247i) q^{23} +(-6.69534 + 1.00916i) q^{24} +(-7.65341 + 1.15357i) q^{25} +(-0.678426 + 0.629488i) q^{26} +(-0.302039 - 1.32332i) q^{27} +(-0.0795376 + 3.02432i) q^{28} +(-0.284733 + 1.24750i) q^{29} +(-3.84407 - 6.65813i) q^{30} +(2.80884 - 4.86505i) q^{31} +(-3.99015 - 3.70232i) q^{32} +(8.93152 + 6.08941i) q^{33} +(-1.09071 - 1.36771i) q^{34} +(-8.87834 + 3.21778i) q^{35} +(-1.72305 + 2.16064i) q^{36} +(-6.09576 + 1.88029i) q^{37} +(0.713998 + 1.81924i) q^{38} +(-0.173927 + 2.32089i) q^{39} +(3.79367 - 9.66612i) q^{40} +(0.694590 + 0.334497i) q^{41} +(-3.76504 - 4.27803i) q^{42} +(-5.76825 + 2.77784i) q^{43} +(0.396893 + 5.29617i) q^{44} +(-8.24302 - 2.54263i) q^{45} +(-1.12338 + 0.765908i) q^{46} +(-0.272324 - 0.0410462i) q^{47} +0.943720 q^{48} +(-5.98294 + 3.63379i) q^{49} +7.16310 q^{50} +(-4.35016 - 0.655682i) q^{51} +(-0.944790 + 0.644147i) q^{52} +(3.68085 + 1.13539i) q^{53} +(0.0938762 + 1.25269i) q^{54} +(-14.9362 + 7.19291i) q^{55} +(1.34690 - 7.57836i) q^{56} +(4.42804 + 2.13243i) q^{57} +(0.432647 - 1.10237i) q^{58} +(0.141427 - 1.88721i) q^{59} +(-3.47042 - 8.84248i) q^{60} +(-9.37141 + 2.89070i) q^{61} +(-3.24156 + 4.06479i) q^{62} +(-6.36160 - 0.645313i) q^{63} +(3.64652 + 4.57259i) q^{64} +(-2.94909 - 2.01065i) q^{65} +(-7.33369 - 6.80467i) q^{66} +(-2.14984 + 3.72363i) q^{67} +(-1.08072 - 1.87186i) q^{68} +(-0.760844 + 3.33348i) q^{69} +(8.56882 - 1.72010i) q^{70} +(-1.10394 - 4.83667i) q^{71} +(5.15411 - 4.78232i) q^{72} +(13.0965 - 1.97398i) q^{73} +(5.83786 - 0.879916i) q^{74} +(13.2050 - 12.2525i) q^{75} +(0.537318 + 2.35414i) q^{76} +(-9.80562 + 7.40650i) q^{77} +(0.479303 - 2.09996i) q^{78} +(-3.99421 - 6.91817i) q^{79} +(-0.723643 + 1.25339i) q^{80} +(7.63069 + 7.08025i) q^{81} +(-0.589512 - 0.401922i) q^{82} +(6.18688 + 7.75810i) q^{83} +(-3.81216 - 5.92002i) q^{84} +(4.20653 - 5.27482i) q^{85} +(5.66195 - 1.74648i) q^{86} +(-1.08802 - 2.77223i) q^{87} +(1.00977 - 13.4745i) q^{88} +(-4.96215 + 12.6433i) q^{89} +(7.19284 + 3.46389i) q^{90} +(-2.43660 - 1.03102i) q^{91} +(-1.51354 + 0.728881i) q^{92} +(0.977065 + 13.0380i) q^{93} +(0.243554 + 0.0751265i) q^{94} +(-6.22757 + 4.24588i) q^{95} +(12.5270 + 1.88815i) q^{96} +18.3554 q^{97} +(5.97649 - 2.50018i) q^{98} -11.2251 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.915145 0.137936i −0.647106 0.0975355i −0.182715 0.983166i \(-0.558489\pi\)
−0.464391 + 0.885630i \(0.653727\pi\)
\(3\) −1.92299 + 1.31107i −1.11024 + 0.756948i −0.972357 0.233501i \(-0.924982\pi\)
−0.137882 + 0.990449i \(0.544029\pi\)
\(4\) −1.09268 0.337047i −0.546340 0.168524i
\(5\) −0.266734 3.55931i −0.119287 1.59177i −0.660459 0.750862i \(-0.729638\pi\)
0.541172 0.840912i \(-0.317981\pi\)
\(6\) 1.94066 0.934572i 0.792271 0.381537i
\(7\) −0.713112 2.54784i −0.269531 0.962992i
\(8\) 2.62113 + 1.26227i 0.926710 + 0.446280i
\(9\) 0.882955 2.24973i 0.294318 0.749911i
\(10\) −0.246857 + 3.29408i −0.0780631 + 1.04168i
\(11\) −1.69686 4.32354i −0.511624 1.30360i −0.920406 0.390964i \(-0.872142\pi\)
0.408782 0.912632i \(-0.365954\pi\)
\(12\) 2.54311 0.784445i 0.734132 0.226450i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 0.301163 + 2.43000i 0.0804892 + 0.649446i
\(15\) 5.17944 + 6.49481i 1.33733 + 1.67695i
\(16\) −0.335025 0.228416i −0.0837563 0.0571041i
\(17\) 1.38563 + 1.28568i 0.336064 + 0.311822i 0.830095 0.557623i \(-0.188286\pi\)
−0.494030 + 0.869445i \(0.664477\pi\)
\(18\) −1.11835 + 1.93704i −0.263598 + 0.456565i
\(19\) −1.05585 1.82878i −0.242228 0.419551i 0.719121 0.694885i \(-0.244545\pi\)
−0.961349 + 0.275334i \(0.911211\pi\)
\(20\) −0.908203 + 3.97910i −0.203080 + 0.889753i
\(21\) 4.71170 + 3.96452i 1.02818 + 0.865129i
\(22\) 0.956506 + 4.19073i 0.203928 + 0.893466i
\(23\) 1.07693 0.999247i 0.224556 0.208357i −0.559869 0.828581i \(-0.689149\pi\)
0.784425 + 0.620224i \(0.212958\pi\)
\(24\) −6.69534 + 1.00916i −1.36668 + 0.205994i
\(25\) −7.65341 + 1.15357i −1.53068 + 0.230713i
\(26\) −0.678426 + 0.629488i −0.133050 + 0.123453i
\(27\) −0.302039 1.32332i −0.0581274 0.254673i
\(28\) −0.0795376 + 3.02432i −0.0150312 + 0.571544i
\(29\) −0.284733 + 1.24750i −0.0528736 + 0.231654i −0.994460 0.105118i \(-0.966478\pi\)
0.941586 + 0.336772i \(0.109335\pi\)
\(30\) −3.84407 6.65813i −0.701829 1.21560i
\(31\) 2.80884 4.86505i 0.504482 0.873789i −0.495504 0.868605i \(-0.665017\pi\)
0.999987 0.00518333i \(-0.00164991\pi\)
\(32\) −3.99015 3.70232i −0.705366 0.654484i
\(33\) 8.93152 + 6.08941i 1.55478 + 1.06003i
\(34\) −1.09071 1.36771i −0.187055 0.234560i
\(35\) −8.87834 + 3.21778i −1.50071 + 0.543905i
\(36\) −1.72305 + 2.16064i −0.287176 + 0.360107i
\(37\) −6.09576 + 1.88029i −1.00214 + 0.309118i −0.752050 0.659106i \(-0.770935\pi\)
−0.250086 + 0.968224i \(0.580459\pi\)
\(38\) 0.713998 + 1.81924i 0.115826 + 0.295119i
\(39\) −0.173927 + 2.32089i −0.0278506 + 0.371640i
\(40\) 3.79367 9.66612i 0.599832 1.52835i
\(41\) 0.694590 + 0.334497i 0.108477 + 0.0522397i 0.487335 0.873215i \(-0.337969\pi\)
−0.378858 + 0.925455i \(0.623683\pi\)
\(42\) −3.76504 4.27803i −0.580959 0.660114i
\(43\) −5.76825 + 2.77784i −0.879650 + 0.423617i −0.818497 0.574511i \(-0.805192\pi\)
−0.0611535 + 0.998128i \(0.519478\pi\)
\(44\) 0.396893 + 5.29617i 0.0598339 + 0.798428i
\(45\) −8.24302 2.54263i −1.22880 0.379033i
\(46\) −1.12338 + 0.765908i −0.165634 + 0.112927i
\(47\) −0.272324 0.0410462i −0.0397225 0.00598720i 0.129151 0.991625i \(-0.458775\pi\)
−0.168873 + 0.985638i \(0.554013\pi\)
\(48\) 0.943720 0.136214
\(49\) −5.98294 + 3.63379i −0.854706 + 0.519112i
\(50\) 7.16310 1.01302
\(51\) −4.35016 0.655682i −0.609145 0.0918138i
\(52\) −0.944790 + 0.644147i −0.131019 + 0.0893271i
\(53\) 3.68085 + 1.13539i 0.505604 + 0.155958i 0.537055 0.843547i \(-0.319537\pi\)
−0.0314512 + 0.999505i \(0.510013\pi\)
\(54\) 0.0938762 + 1.25269i 0.0127749 + 0.170470i
\(55\) −14.9362 + 7.19291i −2.01400 + 0.969891i
\(56\) 1.34690 7.57836i 0.179987 1.01270i
\(57\) 4.42804 + 2.13243i 0.586508 + 0.282448i
\(58\) 0.432647 1.10237i 0.0568093 0.144748i
\(59\) 0.141427 1.88721i 0.0184122 0.245694i −0.980402 0.197008i \(-0.936878\pi\)
0.998814 0.0486862i \(-0.0155034\pi\)
\(60\) −3.47042 8.84248i −0.448029 1.14156i
\(61\) −9.37141 + 2.89070i −1.19989 + 0.370116i −0.829364 0.558708i \(-0.811297\pi\)
−0.370521 + 0.928824i \(0.620821\pi\)
\(62\) −3.24156 + 4.06479i −0.411679 + 0.516229i
\(63\) −6.36160 0.645313i −0.801486 0.0813018i
\(64\) 3.64652 + 4.57259i 0.455814 + 0.571573i
\(65\) −2.94909 2.01065i −0.365790 0.249391i
\(66\) −7.33369 6.80467i −0.902715 0.837597i
\(67\) −2.14984 + 3.72363i −0.262645 + 0.454914i −0.966944 0.254989i \(-0.917928\pi\)
0.704299 + 0.709903i \(0.251261\pi\)
\(68\) −1.08072 1.87186i −0.131056 0.226996i
\(69\) −0.760844 + 3.33348i −0.0915948 + 0.401303i
\(70\) 8.56882 1.72010i 1.02417 0.205591i
\(71\) −1.10394 4.83667i −0.131013 0.574007i −0.997233 0.0743433i \(-0.976314\pi\)
0.866219 0.499664i \(-0.166543\pi\)
\(72\) 5.15411 4.78232i 0.607418 0.563602i
\(73\) 13.0965 1.97398i 1.53283 0.231037i 0.672238 0.740335i \(-0.265333\pi\)
0.860590 + 0.509299i \(0.170095\pi\)
\(74\) 5.83786 0.879916i 0.678638 0.102288i
\(75\) 13.2050 12.2525i 1.52478 1.41479i
\(76\) 0.537318 + 2.35414i 0.0616345 + 0.270039i
\(77\) −9.80562 + 7.40650i −1.11745 + 0.844049i
\(78\) 0.479303 2.09996i 0.0542704 0.237774i
\(79\) −3.99421 6.91817i −0.449384 0.778355i 0.548962 0.835847i \(-0.315023\pi\)
−0.998346 + 0.0574918i \(0.981690\pi\)
\(80\) −0.723643 + 1.25339i −0.0809057 + 0.140133i
\(81\) 7.63069 + 7.08025i 0.847855 + 0.786694i
\(82\) −0.589512 0.401922i −0.0651007 0.0443849i
\(83\) 6.18688 + 7.75810i 0.679098 + 0.851562i 0.995271 0.0971394i \(-0.0309693\pi\)
−0.316173 + 0.948702i \(0.602398\pi\)
\(84\) −3.81216 5.92002i −0.415940 0.645927i
\(85\) 4.20653 5.27482i 0.456262 0.572135i
\(86\) 5.66195 1.74648i 0.610544 0.188328i
\(87\) −1.08802 2.77223i −0.116648 0.297214i
\(88\) 1.00977 13.4745i 0.107642 1.43638i
\(89\) −4.96215 + 12.6433i −0.525986 + 1.34019i 0.383147 + 0.923687i \(0.374840\pi\)
−0.909134 + 0.416504i \(0.863255\pi\)
\(90\) 7.19284 + 3.46389i 0.758192 + 0.365126i
\(91\) −2.43660 1.03102i −0.255425 0.108080i
\(92\) −1.51354 + 0.728881i −0.157797 + 0.0759911i
\(93\) 0.977065 + 13.0380i 0.101317 + 1.35198i
\(94\) 0.243554 + 0.0751265i 0.0251207 + 0.00774871i
\(95\) −6.22757 + 4.24588i −0.638935 + 0.435619i
\(96\) 12.5270 + 1.88815i 1.27853 + 0.192708i
\(97\) 18.3554 1.86371 0.931853 0.362835i \(-0.118191\pi\)
0.931853 + 0.362835i \(0.118191\pi\)
\(98\) 5.97649 2.50018i 0.603717 0.252556i
\(99\) −11.2251 −1.12816
\(100\) 8.75154 + 1.31908i 0.875154 + 0.131908i
\(101\) −10.9214 + 7.44610i −1.08672 + 0.740915i −0.967732 0.251980i \(-0.918918\pi\)
−0.118990 + 0.992895i \(0.537966\pi\)
\(102\) 3.89059 + 1.20009i 0.385226 + 0.118826i
\(103\) −1.18399 15.7992i −0.116662 1.55675i −0.681670 0.731660i \(-0.738746\pi\)
0.565008 0.825086i \(-0.308873\pi\)
\(104\) 2.62113 1.26227i 0.257023 0.123776i
\(105\) 12.8542 17.8279i 1.25444 1.73983i
\(106\) −3.21190 1.54677i −0.311968 0.150236i
\(107\) −6.13973 + 15.6438i −0.593550 + 1.51234i 0.246118 + 0.969240i \(0.420845\pi\)
−0.839668 + 0.543100i \(0.817250\pi\)
\(108\) −0.115989 + 1.54777i −0.0111610 + 0.148934i
\(109\) 1.39091 + 3.54398i 0.133225 + 0.339452i 0.981882 0.189491i \(-0.0606838\pi\)
−0.848657 + 0.528943i \(0.822589\pi\)
\(110\) 14.6610 4.52231i 1.39787 0.431186i
\(111\) 9.25688 11.6078i 0.878624 1.10176i
\(112\) −0.343057 + 1.01648i −0.0324158 + 0.0960480i
\(113\) 10.7780 + 13.5152i 1.01391 + 1.27141i 0.962085 + 0.272751i \(0.0879334\pi\)
0.0518282 + 0.998656i \(0.483495\pi\)
\(114\) −3.75816 2.56227i −0.351984 0.239979i
\(115\) −3.84389 3.56661i −0.358444 0.332588i
\(116\) 0.731588 1.26715i 0.0679262 0.117652i
\(117\) −1.20840 2.09301i −0.111716 0.193499i
\(118\) −0.389741 + 1.70757i −0.0358785 + 0.157194i
\(119\) 2.28758 4.44719i 0.209702 0.407673i
\(120\) 5.37779 + 23.5616i 0.490923 + 2.15087i
\(121\) −7.75007 + 7.19102i −0.704552 + 0.653729i
\(122\) 8.97493 1.35275i 0.812552 0.122473i
\(123\) −1.77424 + 0.267424i −0.159978 + 0.0241128i
\(124\) −4.70892 + 4.36924i −0.422873 + 0.392369i
\(125\) 2.17611 + 9.53418i 0.194638 + 0.852763i
\(126\) 5.73277 + 1.46805i 0.510716 + 0.130784i
\(127\) 1.33863 5.86491i 0.118784 0.520427i −0.880168 0.474662i \(-0.842570\pi\)
0.998952 0.0457648i \(-0.0145725\pi\)
\(128\) 2.73684 + 4.74035i 0.241905 + 0.418991i
\(129\) 7.45033 12.9044i 0.655965 1.13617i
\(130\) 2.42150 + 2.24683i 0.212380 + 0.197060i
\(131\) 13.1881 + 8.99147i 1.15225 + 0.785589i 0.979908 0.199449i \(-0.0639152\pi\)
0.172339 + 0.985038i \(0.444868\pi\)
\(132\) −7.70688 9.66413i −0.670798 0.841154i
\(133\) −3.90649 + 3.99425i −0.338736 + 0.346345i
\(134\) 2.48104 3.11112i 0.214329 0.268760i
\(135\) −4.62954 + 1.42802i −0.398447 + 0.122905i
\(136\) 2.00905 + 5.11897i 0.172274 + 0.438948i
\(137\) 0.0237581 0.317030i 0.00202979 0.0270857i −0.996097 0.0882660i \(-0.971867\pi\)
0.998127 + 0.0611804i \(0.0194865\pi\)
\(138\) 1.15609 2.94567i 0.0984128 0.250752i
\(139\) 13.1739 + 6.34422i 1.11740 + 0.538110i 0.899087 0.437770i \(-0.144231\pi\)
0.218310 + 0.975880i \(0.429946\pi\)
\(140\) 10.7857 0.523590i 0.911561 0.0442514i
\(141\) 0.577490 0.278105i 0.0486334 0.0234206i
\(142\) 0.343113 + 4.57853i 0.0287934 + 0.384222i
\(143\) −4.43826 1.36902i −0.371146 0.114483i
\(144\) −0.809688 + 0.552036i −0.0674740 + 0.0460030i
\(145\) 4.51618 + 0.680704i 0.375048 + 0.0565294i
\(146\) −12.2575 −1.01444
\(147\) 6.74098 14.8318i 0.555986 1.22331i
\(148\) 7.29446 0.599601
\(149\) −2.78508 0.419783i −0.228163 0.0343900i 0.0339658 0.999423i \(-0.489186\pi\)
−0.262128 + 0.965033i \(0.584424\pi\)
\(150\) −13.7746 + 9.39134i −1.12469 + 0.766800i
\(151\) −19.1529 5.90790i −1.55864 0.480778i −0.608754 0.793359i \(-0.708330\pi\)
−0.949891 + 0.312581i \(0.898806\pi\)
\(152\) −0.459098 6.12623i −0.0372378 0.496903i
\(153\) 4.11587 1.98210i 0.332749 0.160243i
\(154\) 9.99519 5.42548i 0.805435 0.437198i
\(155\) −18.0655 8.69986i −1.45105 0.698790i
\(156\) 0.972298 2.47737i 0.0778461 0.198349i
\(157\) 0.916168 12.2254i 0.0731182 0.975695i −0.833165 0.553024i \(-0.813474\pi\)
0.906283 0.422670i \(-0.138907\pi\)
\(158\) 2.70102 + 6.88208i 0.214881 + 0.547509i
\(159\) −8.56682 + 2.64251i −0.679393 + 0.209565i
\(160\) −12.1134 + 15.1897i −0.957650 + 1.20085i
\(161\) −3.31389 2.03127i −0.261171 0.160087i
\(162\) −6.00657 7.53200i −0.471921 0.591770i
\(163\) −15.3910 10.4934i −1.20552 0.821909i −0.217472 0.976066i \(-0.569781\pi\)
−0.988046 + 0.154158i \(0.950734\pi\)
\(164\) −0.646224 0.599608i −0.0504616 0.0468216i
\(165\) 19.2918 33.4143i 1.50186 2.60130i
\(166\) −4.59177 7.95318i −0.356391 0.617287i
\(167\) 5.49539 24.0769i 0.425246 1.86312i −0.0749133 0.997190i \(-0.523868\pi\)
0.500159 0.865934i \(-0.333275\pi\)
\(168\) 7.34570 + 16.3390i 0.566733 + 1.26058i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −4.57717 + 4.24700i −0.351053 + 0.325730i
\(171\) −5.04653 + 0.760642i −0.385918 + 0.0581677i
\(172\) 7.23912 1.09112i 0.551978 0.0831973i
\(173\) 9.50097 8.81562i 0.722346 0.670239i −0.230714 0.973022i \(-0.574106\pi\)
0.953060 + 0.302783i \(0.0979157\pi\)
\(174\) 0.613306 + 2.68707i 0.0464946 + 0.203706i
\(175\) 8.39684 + 18.6770i 0.634742 + 1.41185i
\(176\) −0.419075 + 1.83609i −0.0315889 + 0.138400i
\(177\) 2.20231 + 3.81451i 0.165536 + 0.286716i
\(178\) 6.28506 10.8860i 0.471085 0.815943i
\(179\) −6.71562 6.23118i −0.501949 0.465740i 0.388092 0.921620i \(-0.373134\pi\)
−0.890041 + 0.455880i \(0.849325\pi\)
\(180\) 8.15000 + 5.55657i 0.607465 + 0.414163i
\(181\) −11.4446 14.3511i −0.850672 1.06671i −0.996995 0.0774718i \(-0.975315\pi\)
0.146323 0.989237i \(-0.453256\pi\)
\(182\) 2.08763 + 1.27962i 0.154745 + 0.0948521i
\(183\) 14.2312 17.8454i 1.05200 1.31917i
\(184\) 4.08410 1.25978i 0.301084 0.0928721i
\(185\) 8.31849 + 21.1952i 0.611588 + 1.55830i
\(186\) 0.904256 12.0665i 0.0663033 0.884756i
\(187\) 3.20745 8.17244i 0.234552 0.597628i
\(188\) 0.283728 + 0.136636i 0.0206930 + 0.00996523i
\(189\) −3.15621 + 1.71322i −0.229580 + 0.124618i
\(190\) 6.28479 3.02660i 0.455947 0.219572i
\(191\) 1.82211 + 24.3143i 0.131843 + 1.75932i 0.535614 + 0.844463i \(0.320080\pi\)
−0.403771 + 0.914860i \(0.632301\pi\)
\(192\) −13.0072 4.01219i −0.938714 0.289555i
\(193\) 11.5182 7.85296i 0.829097 0.565269i −0.0727372 0.997351i \(-0.523173\pi\)
0.901834 + 0.432082i \(0.142221\pi\)
\(194\) −16.7978 2.53187i −1.20601 0.181777i
\(195\) 8.30718 0.594889
\(196\) 7.76220 1.95403i 0.554443 0.139574i
\(197\) −15.0718 −1.07382 −0.536911 0.843639i \(-0.680409\pi\)
−0.536911 + 0.843639i \(0.680409\pi\)
\(198\) 10.2726 + 1.54834i 0.730039 + 0.110036i
\(199\) −16.2653 + 11.0895i −1.15302 + 0.786112i −0.980037 0.198813i \(-0.936291\pi\)
−0.172978 + 0.984926i \(0.555339\pi\)
\(200\) −21.5167 6.63703i −1.52146 0.469309i
\(201\) −0.747830 9.97909i −0.0527478 0.703871i
\(202\) 11.0218 5.30781i 0.775490 0.373456i
\(203\) 3.38146 0.164152i 0.237332 0.0115212i
\(204\) 4.53234 + 2.18266i 0.317328 + 0.152817i
\(205\) 1.00531 2.56149i 0.0702139 0.178902i
\(206\) −1.09576 + 14.6219i −0.0763453 + 1.01876i
\(207\) −1.29716 3.30510i −0.0901585 0.229720i
\(208\) −0.387468 + 0.119518i −0.0268661 + 0.00828708i
\(209\) −6.11517 + 7.66818i −0.422995 + 0.530419i
\(210\) −14.2226 + 14.5421i −0.981451 + 1.00350i
\(211\) −9.94856 12.4751i −0.684887 0.858821i 0.310907 0.950440i \(-0.399367\pi\)
−0.995794 + 0.0916190i \(0.970796\pi\)
\(212\) −3.63932 2.48124i −0.249949 0.170413i
\(213\) 8.46409 + 7.85352i 0.579950 + 0.538115i
\(214\) 7.77658 13.4694i 0.531596 0.920751i
\(215\) 11.4258 + 19.7901i 0.779233 + 1.34967i
\(216\) 0.878702 3.84985i 0.0597881 0.261949i
\(217\) −14.3984 3.68713i −0.977425 0.250299i
\(218\) −0.784043 3.43512i −0.0531021 0.232655i
\(219\) −22.5964 + 20.9664i −1.52692 + 1.41678i
\(220\) 18.7449 2.82534i 1.26378 0.190484i
\(221\) 1.86911 0.281723i 0.125730 0.0189507i
\(222\) −10.0725 + 9.34593i −0.676023 + 0.627258i
\(223\) 4.12913 + 18.0909i 0.276507 + 1.21146i 0.902176 + 0.431367i \(0.141969\pi\)
−0.625670 + 0.780088i \(0.715174\pi\)
\(224\) −6.58748 + 12.8064i −0.440145 + 0.855666i
\(225\) −4.16240 + 18.2367i −0.277493 + 1.21578i
\(226\) −7.99924 13.8551i −0.532101 0.921627i
\(227\) 2.13849 3.70397i 0.141937 0.245841i −0.786289 0.617859i \(-0.788000\pi\)
0.928226 + 0.372017i \(0.121334\pi\)
\(228\) −4.11970 3.82253i −0.272834 0.253153i
\(229\) −11.4125 7.78090i −0.754159 0.514177i 0.124154 0.992263i \(-0.460378\pi\)
−0.878313 + 0.478086i \(0.841331\pi\)
\(230\) 3.02575 + 3.79417i 0.199512 + 0.250180i
\(231\) 9.14564 27.0985i 0.601739 1.78295i
\(232\) −2.32100 + 2.91044i −0.152381 + 0.191080i
\(233\) −13.5449 + 4.17803i −0.887353 + 0.273712i −0.704734 0.709472i \(-0.748934\pi\)
−0.182619 + 0.983184i \(0.558457\pi\)
\(234\) 0.817159 + 2.08209i 0.0534194 + 0.136110i
\(235\) −0.0734584 + 0.980234i −0.00479190 + 0.0639434i
\(236\) −0.790615 + 2.01445i −0.0514646 + 0.131130i
\(237\) 16.7510 + 8.06688i 1.08810 + 0.524000i
\(238\) −2.70690 + 3.75428i −0.175462 + 0.243354i
\(239\) −23.5384 + 11.3355i −1.52257 + 0.733232i −0.993337 0.115244i \(-0.963235\pi\)
−0.529235 + 0.848476i \(0.677521\pi\)
\(240\) −0.251722 3.35900i −0.0162486 0.216822i
\(241\) 4.71675 + 1.45492i 0.303832 + 0.0937199i 0.442923 0.896560i \(-0.353942\pi\)
−0.139090 + 0.990280i \(0.544418\pi\)
\(242\) 8.08434 5.51181i 0.519681 0.354313i
\(243\) −19.9299 3.00395i −1.27850 0.192703i
\(244\) 11.2143 0.717919
\(245\) 14.5296 + 20.3259i 0.928265 + 1.29857i
\(246\) 1.66057 0.105874
\(247\) −2.08811 0.314731i −0.132863 0.0200259i
\(248\) 13.5033 9.20643i 0.857463 0.584609i
\(249\) −22.0687 6.80730i −1.39855 0.431395i
\(250\) −0.676355 9.02533i −0.0427764 0.570812i
\(251\) 27.6050 13.2939i 1.74241 0.839102i 0.760608 0.649211i \(-0.224901\pi\)
0.981805 0.189891i \(-0.0608135\pi\)
\(252\) 6.73369 + 2.84928i 0.424183 + 0.179488i
\(253\) −6.14769 2.96057i −0.386502 0.186130i
\(254\) −2.03402 + 5.18260i −0.127626 + 0.325185i
\(255\) −1.17344 + 15.6585i −0.0734838 + 0.980573i
\(256\) −6.12418 15.6042i −0.382761 0.975259i
\(257\) 13.2624 4.09092i 0.827288 0.255185i 0.147936 0.988997i \(-0.452737\pi\)
0.679352 + 0.733812i \(0.262261\pi\)
\(258\) −8.59811 + 10.7817i −0.535295 + 0.671239i
\(259\) 9.13763 + 14.1901i 0.567785 + 0.881732i
\(260\) 2.54473 + 3.19099i 0.157817 + 0.197897i
\(261\) 2.55513 + 1.74206i 0.158158 + 0.107831i
\(262\) −10.8288 10.0476i −0.669003 0.620744i
\(263\) 4.92255 8.52611i 0.303538 0.525743i −0.673397 0.739281i \(-0.735166\pi\)
0.976935 + 0.213538i \(0.0684989\pi\)
\(264\) 15.7242 + 27.2351i 0.967759 + 1.67621i
\(265\) 3.05941 13.4042i 0.187938 0.823411i
\(266\) 4.12596 3.11647i 0.252979 0.191083i
\(267\) −7.03418 30.8187i −0.430485 1.88608i
\(268\) 3.60413 3.34414i 0.220157 0.204276i
\(269\) −16.0566 + 2.42014i −0.978988 + 0.147559i −0.618994 0.785396i \(-0.712459\pi\)
−0.359994 + 0.932954i \(0.617221\pi\)
\(270\) 4.43368 0.668269i 0.269825 0.0406696i
\(271\) 9.14217 8.48270i 0.555348 0.515287i −0.351814 0.936070i \(-0.614435\pi\)
0.907161 + 0.420783i \(0.138245\pi\)
\(272\) −0.170551 0.747234i −0.0103412 0.0453077i
\(273\) 6.03729 1.21192i 0.365393 0.0733487i
\(274\) −0.0654719 + 0.286851i −0.00395530 + 0.0173293i
\(275\) 17.9743 + 31.1324i 1.08389 + 1.87735i
\(276\) 1.95490 3.38598i 0.117671 0.203812i
\(277\) 9.28549 + 8.61568i 0.557911 + 0.517666i 0.907955 0.419067i \(-0.137643\pi\)
−0.350044 + 0.936733i \(0.613833\pi\)
\(278\) −11.1810 7.62304i −0.670589 0.457200i
\(279\) −8.46498 10.6148i −0.506785 0.635489i
\(280\) −27.3330 2.77263i −1.63346 0.165696i
\(281\) −7.76717 + 9.73973i −0.463351 + 0.581023i −0.957529 0.288337i \(-0.906898\pi\)
0.494178 + 0.869361i \(0.335469\pi\)
\(282\) −0.566848 + 0.174849i −0.0337553 + 0.0104121i
\(283\) −10.2444 26.1024i −0.608969 1.55163i −0.818915 0.573914i \(-0.805424\pi\)
0.209947 0.977713i \(-0.432671\pi\)
\(284\) −0.423935 + 5.65702i −0.0251559 + 0.335682i
\(285\) 6.40889 16.3296i 0.379630 0.967281i
\(286\) 3.87281 + 1.86505i 0.229004 + 0.110283i
\(287\) 0.356923 2.00824i 0.0210685 0.118542i
\(288\) −11.8524 + 5.70779i −0.698407 + 0.336335i
\(289\) −1.00341 13.3895i −0.0590239 0.787619i
\(290\) −4.03907 1.24589i −0.237182 0.0731610i
\(291\) −35.2972 + 24.0652i −2.06916 + 1.41073i
\(292\) −14.9756 2.25721i −0.876381 0.132093i
\(293\) 14.1412 0.826137 0.413068 0.910700i \(-0.364457\pi\)
0.413068 + 0.910700i \(0.364457\pi\)
\(294\) −8.21481 + 12.6434i −0.479098 + 0.737380i
\(295\) −6.75490 −0.393286
\(296\) −18.3512 2.76600i −1.06664 0.160771i
\(297\) −5.20890 + 3.55137i −0.302251 + 0.206071i
\(298\) 2.49085 + 0.768325i 0.144291 + 0.0445079i
\(299\) −0.109787 1.46500i −0.00634912 0.0847231i
\(300\) −18.5585 + 8.93732i −1.07148 + 0.515996i
\(301\) 11.1909 + 12.7156i 0.645033 + 0.732918i
\(302\) 16.7128 + 8.04847i 0.961715 + 0.463137i
\(303\) 11.2394 28.6376i 0.645687 1.64518i
\(304\) −0.0639879 + 0.853860i −0.00366996 + 0.0489722i
\(305\) 12.7886 + 32.5847i 0.732271 + 1.86580i
\(306\) −4.04003 + 1.24618i −0.230953 + 0.0712395i
\(307\) −18.1322 + 22.7371i −1.03486 + 1.29767i −0.0812276 + 0.996696i \(0.525884\pi\)
−0.953631 + 0.300977i \(0.902687\pi\)
\(308\) 13.2108 4.78798i 0.752752 0.272821i
\(309\) 22.9907 + 28.8295i 1.30790 + 1.64005i
\(310\) 15.3325 + 10.4535i 0.870827 + 0.593720i
\(311\) −0.336438 0.312169i −0.0190777 0.0177015i 0.670576 0.741841i \(-0.266047\pi\)
−0.689654 + 0.724139i \(0.742237\pi\)
\(312\) −3.38548 + 5.86383i −0.191665 + 0.331974i
\(313\) 14.3368 + 24.8321i 0.810365 + 1.40359i 0.912609 + 0.408834i \(0.134064\pi\)
−0.102244 + 0.994759i \(0.532602\pi\)
\(314\) −2.52475 + 11.0617i −0.142480 + 0.624246i
\(315\) −0.600019 + 22.8150i −0.0338072 + 1.28548i
\(316\) 2.03264 + 8.90559i 0.114345 + 0.500979i
\(317\) 1.97708 1.83446i 0.111044 0.103034i −0.622697 0.782463i \(-0.713963\pi\)
0.733741 + 0.679429i \(0.237773\pi\)
\(318\) 8.20438 1.23661i 0.460079 0.0693457i
\(319\) 5.87675 0.885778i 0.329035 0.0495940i
\(320\) 15.3026 14.1988i 0.855442 0.793735i
\(321\) −8.70347 38.1324i −0.485781 2.12834i
\(322\) 2.75251 + 2.31601i 0.153391 + 0.129066i
\(323\) 0.888206 3.89149i 0.0494211 0.216528i
\(324\) −5.95153 10.3084i −0.330641 0.572686i
\(325\) −3.86993 + 6.70292i −0.214665 + 0.371811i
\(326\) 12.6376 + 11.7260i 0.699933 + 0.649442i
\(327\) −7.32112 4.99146i −0.404859 0.276028i
\(328\) 1.39839 + 1.75352i 0.0772130 + 0.0968221i
\(329\) 0.0896184 + 0.723107i 0.00494082 + 0.0398662i
\(330\) −22.2638 + 27.9179i −1.22558 + 1.53683i
\(331\) 12.6288 3.89548i 0.694144 0.214115i 0.0724464 0.997372i \(-0.476919\pi\)
0.621698 + 0.783257i \(0.286443\pi\)
\(332\) −4.14544 10.5624i −0.227510 0.579687i
\(333\) −1.15212 + 15.3740i −0.0631360 + 0.842492i
\(334\) −8.35014 + 21.2758i −0.456900 + 1.16416i
\(335\) 13.8270 + 6.65873i 0.755450 + 0.363805i
\(336\) −0.672978 2.40444i −0.0367140 0.131173i
\(337\) 8.50934 4.09788i 0.463533 0.223226i −0.187516 0.982262i \(-0.560044\pi\)
0.651049 + 0.759036i \(0.274329\pi\)
\(338\) 0.0691614 + 0.922894i 0.00376188 + 0.0501988i
\(339\) −38.4455 11.8589i −2.08807 0.644085i
\(340\) −6.37426 + 4.34590i −0.345693 + 0.235689i
\(341\) −25.8005 3.88879i −1.39717 0.210590i
\(342\) 4.72323 0.255403
\(343\) 13.5248 + 12.6523i 0.730271 + 0.683158i
\(344\) −18.6257 −1.00423
\(345\) 12.0678 + 1.81893i 0.649710 + 0.0979280i
\(346\) −9.91076 + 6.75704i −0.532806 + 0.363261i
\(347\) −0.765617 0.236161i −0.0411005 0.0126778i 0.274137 0.961691i \(-0.411608\pi\)
−0.315237 + 0.949013i \(0.602084\pi\)
\(348\) 0.254486 + 3.39587i 0.0136419 + 0.182038i
\(349\) −13.9020 + 6.69483i −0.744155 + 0.358366i −0.767234 0.641368i \(-0.778367\pi\)
0.0230790 + 0.999734i \(0.492653\pi\)
\(350\) −5.10810 18.2504i −0.273039 0.975526i
\(351\) −1.22293 0.588932i −0.0652752 0.0314349i
\(352\) −9.23638 + 23.5339i −0.492301 + 1.25436i
\(353\) 1.47460 19.6772i 0.0784851 1.04731i −0.809404 0.587253i \(-0.800210\pi\)
0.887889 0.460058i \(-0.152171\pi\)
\(354\) −1.48927 3.79461i −0.0791540 0.201681i
\(355\) −16.9208 + 5.21937i −0.898061 + 0.277015i
\(356\) 9.68345 12.1427i 0.513222 0.643560i
\(357\) 1.43159 + 11.5511i 0.0757675 + 0.611348i
\(358\) 5.28626 + 6.62876i 0.279388 + 0.350341i
\(359\) 8.61167 + 5.87134i 0.454507 + 0.309877i 0.768847 0.639433i \(-0.220831\pi\)
−0.314340 + 0.949310i \(0.601783\pi\)
\(360\) −18.3965 17.0695i −0.969583 0.899642i
\(361\) 7.27038 12.5927i 0.382652 0.662772i
\(362\) 8.49396 + 14.7120i 0.446432 + 0.773244i
\(363\) 5.47537 23.9892i 0.287382 1.25910i
\(364\) 2.31492 + 1.94782i 0.121335 + 0.102094i
\(365\) −10.5193 46.0880i −0.550604 2.41235i
\(366\) −15.4851 + 14.3681i −0.809421 + 0.751033i
\(367\) 24.2217 3.65084i 1.26436 0.190572i 0.517578 0.855636i \(-0.326834\pi\)
0.746786 + 0.665064i \(0.231596\pi\)
\(368\) −0.589044 + 0.0887840i −0.0307060 + 0.00462819i
\(369\) 1.36582 1.26730i 0.0711018 0.0659728i
\(370\) −4.68905 20.5441i −0.243772 1.06804i
\(371\) 0.267934 10.1879i 0.0139104 0.528928i
\(372\) 3.32681 14.5757i 0.172487 0.755716i
\(373\) −5.53540 9.58759i −0.286612 0.496427i 0.686387 0.727237i \(-0.259196\pi\)
−0.972999 + 0.230810i \(0.925862\pi\)
\(374\) −4.06255 + 7.03655i −0.210070 + 0.363851i
\(375\) −16.6846 15.4811i −0.861591 0.799440i
\(376\) −0.661985 0.451334i −0.0341393 0.0232758i
\(377\) 0.797804 + 1.00041i 0.0410890 + 0.0515240i
\(378\) 3.12471 1.13249i 0.160718 0.0582490i
\(379\) 3.29104 4.12683i 0.169049 0.211981i −0.690089 0.723724i \(-0.742429\pi\)
0.859138 + 0.511743i \(0.171000\pi\)
\(380\) 8.23581 2.54041i 0.422488 0.130320i
\(381\) 5.11515 + 13.0332i 0.262057 + 0.667711i
\(382\) 1.68633 22.5025i 0.0862800 1.15133i
\(383\) 1.23648 3.15049i 0.0631810 0.160983i −0.895797 0.444464i \(-0.853394\pi\)
0.958978 + 0.283481i \(0.0914894\pi\)
\(384\) −11.4778 5.52744i −0.585726 0.282071i
\(385\) 28.9776 + 32.9257i 1.47683 + 1.67805i
\(386\) −11.6240 + 5.59783i −0.591647 + 0.284922i
\(387\) 1.15630 + 15.4297i 0.0587780 + 0.784337i
\(388\) −20.0566 6.18663i −1.01822 0.314079i
\(389\) 0.0790999 0.0539294i 0.00401052 0.00273433i −0.561313 0.827604i \(-0.689704\pi\)
0.565324 + 0.824869i \(0.308751\pi\)
\(390\) −7.60228 1.14586i −0.384956 0.0580228i
\(391\) 2.77694 0.140436
\(392\) −20.2689 + 1.97254i −1.02373 + 0.0996285i
\(393\) −37.1490 −1.87392
\(394\) 13.7929 + 2.07894i 0.694876 + 0.104736i
\(395\) −23.5586 + 16.0620i −1.18536 + 0.808165i
\(396\) 12.2654 + 3.78338i 0.616360 + 0.190122i
\(397\) −0.263160 3.51163i −0.0132076 0.176244i −0.999906 0.0136840i \(-0.995644\pi\)
0.986699 0.162560i \(-0.0519749\pi\)
\(398\) 16.4147 7.90492i 0.822796 0.396238i
\(399\) 2.27540 12.8026i 0.113912 0.640931i
\(400\) 2.82758 + 1.36169i 0.141379 + 0.0680845i
\(401\) −9.75460 + 24.8543i −0.487121 + 1.24116i 0.450272 + 0.892892i \(0.351327\pi\)
−0.937393 + 0.348273i \(0.886768\pi\)
\(402\) −0.692103 + 9.23547i −0.0345190 + 0.460624i
\(403\) −2.05237 5.22935i −0.102236 0.260492i
\(404\) 14.4433 4.45518i 0.718582 0.221653i
\(405\) 23.1655 29.0486i 1.15110 1.44343i
\(406\) −3.11717 0.316202i −0.154703 0.0156929i
\(407\) 18.4732 + 23.1646i 0.915682 + 1.14823i
\(408\) −10.5747 7.20971i −0.523526 0.356934i
\(409\) −24.5382 22.7682i −1.21334 1.12581i −0.988469 0.151424i \(-0.951614\pi\)
−0.224869 0.974389i \(-0.572195\pi\)
\(410\) −1.27333 + 2.20546i −0.0628851 + 0.108920i
\(411\) 0.369962 + 0.640793i 0.0182489 + 0.0316080i
\(412\) −4.03137 + 17.6626i −0.198611 + 0.870174i
\(413\) −4.90916 + 0.985461i −0.241564 + 0.0484914i
\(414\) 0.731194 + 3.20357i 0.0359362 + 0.157447i
\(415\) 25.9633 24.0904i 1.27449 1.18255i
\(416\) −5.38241 + 0.811268i −0.263894 + 0.0397757i
\(417\) −33.6510 + 5.07208i −1.64790 + 0.248381i
\(418\) 6.65399 6.17400i 0.325457 0.301980i
\(419\) 3.62202 + 15.8691i 0.176947 + 0.775257i 0.983029 + 0.183452i \(0.0587272\pi\)
−0.806081 + 0.591805i \(0.798416\pi\)
\(420\) −20.0544 + 15.1477i −0.978554 + 0.739134i
\(421\) 1.01410 4.44306i 0.0494242 0.216541i −0.944185 0.329415i \(-0.893148\pi\)
0.993609 + 0.112874i \(0.0360056\pi\)
\(422\) 7.38361 + 12.7888i 0.359429 + 0.622549i
\(423\) −0.332793 + 0.576414i −0.0161809 + 0.0280262i
\(424\) 8.21483 + 7.62225i 0.398947 + 0.370169i
\(425\) −12.0879 8.24139i −0.586350 0.399766i
\(426\) −6.66259 8.35462i −0.322803 0.404783i
\(427\) 14.0479 + 21.8154i 0.679825 + 1.05572i
\(428\) 11.9815 15.0243i 0.579145 0.726225i
\(429\) 10.3296 3.18626i 0.498718 0.153834i
\(430\) −7.72651 19.6868i −0.372605 0.949383i
\(431\) −1.32055 + 17.6215i −0.0636086 + 0.848797i 0.870582 + 0.492023i \(0.163742\pi\)
−0.934191 + 0.356774i \(0.883877\pi\)
\(432\) −0.201077 + 0.512335i −0.00967431 + 0.0246498i
\(433\) −20.9620 10.0948i −1.00737 0.485125i −0.143938 0.989587i \(-0.545976\pi\)
−0.863434 + 0.504462i \(0.831691\pi\)
\(434\) 12.6680 + 5.36032i 0.608084 + 0.257303i
\(435\) −9.57702 + 4.61205i −0.459183 + 0.221131i
\(436\) −0.325331 4.34124i −0.0155805 0.207908i
\(437\) −2.96448 0.914419i −0.141810 0.0437426i
\(438\) 23.5710 16.0704i 1.12627 0.767875i
\(439\) −32.9501 4.96643i −1.57262 0.237035i −0.695938 0.718102i \(-0.745011\pi\)
−0.876684 + 0.481067i \(0.840249\pi\)
\(440\) −48.2292 −2.29924
\(441\) 2.89238 + 16.6685i 0.137732 + 0.793737i
\(442\) −1.74936 −0.0832088
\(443\) −16.7441 2.52377i −0.795537 0.119908i −0.261317 0.965253i \(-0.584157\pi\)
−0.534220 + 0.845345i \(0.679395\pi\)
\(444\) −14.0272 + 9.56357i −0.665700 + 0.453867i
\(445\) 46.3252 + 14.2894i 2.19602 + 0.677384i
\(446\) −1.28337 17.1253i −0.0607692 0.810909i
\(447\) 5.90604 2.84420i 0.279346 0.134526i
\(448\) 9.04983 12.5515i 0.427564 0.593002i
\(449\) 10.3246 + 4.97208i 0.487250 + 0.234647i 0.661345 0.750082i \(-0.269986\pi\)
−0.174095 + 0.984729i \(0.555700\pi\)
\(450\) 6.32470 16.1151i 0.298149 0.759671i
\(451\) 0.267586 3.57068i 0.0126001 0.168137i
\(452\) −7.22169 18.4006i −0.339679 0.865489i
\(453\) 44.5766 13.7501i 2.09439 0.646034i
\(454\) −2.46794 + 3.09470i −0.115826 + 0.145241i
\(455\) −3.01979 + 8.94762i −0.141570 + 0.419471i
\(456\) 8.91477 + 11.1788i 0.417473 + 0.523494i
\(457\) −0.810616 0.552668i −0.0379190 0.0258527i 0.544212 0.838948i \(-0.316829\pi\)
−0.582131 + 0.813095i \(0.697781\pi\)
\(458\) 9.37082 + 8.69485i 0.437870 + 0.406284i
\(459\) 1.28284 2.22195i 0.0598780 0.103712i
\(460\) 2.99803 + 5.19273i 0.139784 + 0.242112i
\(461\) 4.89653 21.4531i 0.228054 0.999171i −0.723170 0.690670i \(-0.757316\pi\)
0.951224 0.308501i \(-0.0998272\pi\)
\(462\) −12.1074 + 23.5375i −0.563289 + 1.09507i
\(463\) −4.37223 19.1560i −0.203195 0.890255i −0.968976 0.247154i \(-0.920505\pi\)
0.765781 0.643101i \(-0.222352\pi\)
\(464\) 0.380341 0.352905i 0.0176569 0.0163832i
\(465\) 46.1458 6.95536i 2.13996 0.322547i
\(466\) 12.9718 1.95519i 0.600908 0.0905722i
\(467\) −0.740159 + 0.686767i −0.0342505 + 0.0317798i −0.697112 0.716962i \(-0.745532\pi\)
0.662862 + 0.748742i \(0.269342\pi\)
\(468\) 0.614951 + 2.69428i 0.0284261 + 0.124543i
\(469\) 11.0203 + 2.82207i 0.508869 + 0.130311i
\(470\) 0.202435 0.886924i 0.00933761 0.0409108i
\(471\) 14.2666 + 24.7105i 0.657371 + 1.13860i
\(472\) 2.75287 4.76811i 0.126711 0.219470i
\(473\) 21.7981 + 20.2256i 1.00228 + 0.929976i
\(474\) −14.2169 9.69294i −0.653005 0.445211i
\(475\) 10.1904 + 12.7784i 0.467570 + 0.586314i
\(476\) −3.99851 + 4.08833i −0.183271 + 0.187388i
\(477\) 5.80436 7.27843i 0.265763 0.333256i
\(478\) 23.1046 7.12683i 1.05678 0.325974i
\(479\) −10.8481 27.6406i −0.495664 1.26293i −0.931774 0.363038i \(-0.881740\pi\)
0.436110 0.899893i \(-0.356356\pi\)
\(480\) 3.37912 45.0913i 0.154235 2.05813i
\(481\) −2.33057 + 5.93820i −0.106265 + 0.270758i
\(482\) −4.11582 1.98208i −0.187471 0.0902811i
\(483\) 9.03572 0.438636i 0.411139 0.0199586i
\(484\) 10.8921 5.24535i 0.495094 0.238425i
\(485\) −4.89600 65.3326i −0.222316 2.96660i
\(486\) 17.8244 + 5.49810i 0.808531 + 0.249399i
\(487\) −25.4692 + 17.3646i −1.15412 + 0.786864i −0.980222 0.197900i \(-0.936588\pi\)
−0.173895 + 0.984764i \(0.555635\pi\)
\(488\) −28.2125 4.25236i −1.27712 0.192495i
\(489\) 43.3544 1.96055
\(490\) −10.4931 20.6053i −0.474028 0.930854i
\(491\) 25.0745 1.13160 0.565798 0.824544i \(-0.308568\pi\)
0.565798 + 0.824544i \(0.308568\pi\)
\(492\) 2.02881 + 0.305794i 0.0914659 + 0.0137863i
\(493\) −1.99841 + 1.36249i −0.0900039 + 0.0613636i
\(494\) 1.86751 + 0.576050i 0.0840232 + 0.0259177i
\(495\) 2.99410 + 39.9535i 0.134575 + 1.79578i
\(496\) −2.05229 + 0.988330i −0.0921505 + 0.0443773i
\(497\) −11.5358 + 6.26175i −0.517452 + 0.280878i
\(498\) 19.2571 + 9.27374i 0.862932 + 0.415566i
\(499\) 4.29262 10.9374i 0.192164 0.489626i −0.802023 0.597293i \(-0.796243\pi\)
0.994187 + 0.107667i \(0.0343382\pi\)
\(500\) 0.835672 11.1513i 0.0373724 0.498700i
\(501\) 20.9989 + 53.5044i 0.938163 + 2.39040i
\(502\) −27.0963 + 8.35811i −1.20937 + 0.373041i
\(503\) −7.43672 + 9.32536i −0.331587 + 0.415797i −0.919477 0.393144i \(-0.871387\pi\)
0.587890 + 0.808941i \(0.299959\pi\)
\(504\) −15.8600 9.72151i −0.706462 0.433030i
\(505\) 29.4161 + 36.8867i 1.30900 + 1.64144i
\(506\) 5.21766 + 3.55734i 0.231953 + 0.158143i
\(507\) 1.70611 + 1.58303i 0.0757708 + 0.0703050i
\(508\) −3.43945 + 5.95729i −0.152601 + 0.264312i
\(509\) −7.09577 12.2902i −0.314515 0.544755i 0.664820 0.747004i \(-0.268508\pi\)
−0.979334 + 0.202249i \(0.935175\pi\)
\(510\) 3.23374 14.1679i 0.143192 0.627367i
\(511\) −14.3686 31.9600i −0.635631 1.41383i
\(512\) 1.01612 + 4.45192i 0.0449067 + 0.196749i
\(513\) −2.10115 + 1.94958i −0.0927680 + 0.0860761i
\(514\) −12.7013 + 1.91442i −0.560232 + 0.0844415i
\(515\) −55.9187 + 8.42838i −2.46407 + 0.371399i
\(516\) −12.4902 + 11.5892i −0.549851 + 0.510187i
\(517\) 0.284632 + 1.24705i 0.0125181 + 0.0548453i
\(518\) −6.40493 14.2464i −0.281417 0.625953i
\(519\) −6.71236 + 29.4088i −0.294640 + 1.29090i
\(520\) −5.19196 8.99274i −0.227683 0.394358i
\(521\) 7.03393 12.1831i 0.308162 0.533752i −0.669798 0.742543i \(-0.733619\pi\)
0.977960 + 0.208791i \(0.0669528\pi\)
\(522\) −2.09802 1.94668i −0.0918278 0.0852038i
\(523\) −7.45163 5.08044i −0.325837 0.222152i 0.389342 0.921093i \(-0.372702\pi\)
−0.715179 + 0.698941i \(0.753655\pi\)
\(524\) −11.3798 14.2698i −0.497129 0.623380i
\(525\) −40.6340 24.9068i −1.77341 1.08702i
\(526\) −5.68091 + 7.12363i −0.247699 + 0.310605i
\(527\) 10.1469 3.12990i 0.442005 0.136341i
\(528\) −1.60136 4.08021i −0.0696905 0.177568i
\(529\) −1.55750 + 20.7834i −0.0677176 + 0.903628i
\(530\) −4.64872 + 11.8447i −0.201928 + 0.514503i
\(531\) −4.12085 1.98450i −0.178830 0.0861198i
\(532\) 5.61480 3.04776i 0.243432 0.132137i
\(533\) 0.694590 0.334497i 0.0300860 0.0144887i
\(534\) 2.18628 + 29.1739i 0.0946096 + 1.26248i
\(535\) 57.3187 + 17.6805i 2.47811 + 0.764394i
\(536\) −10.3352 + 7.04645i −0.446414 + 0.304360i
\(537\) 21.0836 + 3.17784i 0.909824 + 0.137134i
\(538\) 15.0280 0.647901
\(539\) 25.8631 + 19.7014i 1.11400 + 0.848601i
\(540\) 5.53992 0.238400
\(541\) −43.8557 6.61018i −1.88550 0.284194i −0.897784 0.440436i \(-0.854824\pi\)
−0.987719 + 0.156242i \(0.950062\pi\)
\(542\) −9.53649 + 6.50187i −0.409627 + 0.279279i
\(543\) 40.8232 + 12.5923i 1.75189 + 0.540387i
\(544\) −0.768887 10.2601i −0.0329658 0.439898i
\(545\) 12.2431 5.89599i 0.524439 0.252556i
\(546\) −5.69216 + 0.276324i −0.243602 + 0.0118256i
\(547\) 12.3930 + 5.96817i 0.529888 + 0.255181i 0.679644 0.733542i \(-0.262134\pi\)
−0.149756 + 0.988723i \(0.547849\pi\)
\(548\) −0.132814 + 0.338405i −0.00567354 + 0.0144559i
\(549\) −1.77124 + 23.6355i −0.0755945 + 1.00874i
\(550\) −12.1548 30.9700i −0.518283 1.32056i
\(551\) 2.58203 0.796451i 0.109998 0.0339299i
\(552\) −6.20202 + 7.77709i −0.263976 + 0.331015i
\(553\) −14.7781 + 15.1100i −0.628427 + 0.642544i
\(554\) −7.30916 9.16540i −0.310537 0.389401i
\(555\) −43.7848 29.8519i −1.85856 1.26714i
\(556\) −12.2566 11.3724i −0.519795 0.482299i
\(557\) 18.0287 31.2267i 0.763902 1.32312i −0.176923 0.984225i \(-0.556614\pi\)
0.940825 0.338892i \(-0.110052\pi\)
\(558\) 6.28253 + 10.8817i 0.265961 + 0.460658i
\(559\) −1.42464 + 6.24176i −0.0602559 + 0.263998i
\(560\) 3.70946 + 0.949919i 0.156753 + 0.0401414i
\(561\) 4.54677 + 19.9207i 0.191965 + 0.841053i
\(562\) 8.45155 7.84189i 0.356507 0.330790i
\(563\) 1.86501 0.281106i 0.0786010 0.0118472i −0.109624 0.993973i \(-0.534965\pi\)
0.188225 + 0.982126i \(0.439727\pi\)
\(564\) −0.724747 + 0.109238i −0.0305173 + 0.00459975i
\(565\) 45.2301 41.9674i 1.90284 1.76558i
\(566\) 5.77469 + 25.3006i 0.242728 + 1.06346i
\(567\) 12.5978 24.4908i 0.529057 1.02852i
\(568\) 3.21162 14.0710i 0.134757 0.590407i
\(569\) −10.3476 17.9225i −0.433793 0.751351i 0.563404 0.826182i \(-0.309492\pi\)
−0.997196 + 0.0748310i \(0.976158\pi\)
\(570\) −8.11750 + 14.0599i −0.340005 + 0.588905i
\(571\) 14.8895 + 13.8154i 0.623105 + 0.578157i 0.927238 0.374472i \(-0.122176\pi\)
−0.304133 + 0.952630i \(0.598367\pi\)
\(572\) 4.38817 + 2.99181i 0.183479 + 0.125094i
\(573\) −35.3817 44.3673i −1.47809 1.85347i
\(574\) −0.603645 + 1.78860i −0.0251956 + 0.0746546i
\(575\) −7.08951 + 8.88996i −0.295653 + 0.370737i
\(576\) 13.5068 4.16630i 0.562783 0.173596i
\(577\) 5.19907 + 13.2470i 0.216440 + 0.551480i 0.997317 0.0732046i \(-0.0233226\pi\)
−0.780877 + 0.624685i \(0.785227\pi\)
\(578\) −0.928635 + 12.3918i −0.0386261 + 0.515430i
\(579\) −11.8535 + 30.2023i −0.492616 + 1.25517i
\(580\) −4.70531 2.26596i −0.195377 0.0940888i
\(581\) 15.3544 21.2956i 0.637009 0.883488i
\(582\) 35.6215 17.1544i 1.47656 0.711074i
\(583\) −1.33699 17.8409i −0.0553725 0.738895i
\(584\) 36.8193 + 11.3573i 1.52359 + 0.469967i
\(585\) −7.12735 + 4.85934i −0.294680 + 0.200909i
\(586\) −12.9412 1.95058i −0.534598 0.0805776i
\(587\) −22.0427 −0.909800 −0.454900 0.890543i \(-0.650325\pi\)
−0.454900 + 0.890543i \(0.650325\pi\)
\(588\) −12.3648 + 13.9344i −0.509914 + 0.574645i
\(589\) −11.8628 −0.488798
\(590\) 6.18172 + 0.931744i 0.254497 + 0.0383593i
\(591\) 28.9829 19.7602i 1.19220 0.812826i
\(592\) 2.47172 + 0.762425i 0.101587 + 0.0313355i
\(593\) −0.612080 8.16764i −0.0251351 0.335405i −0.995569 0.0940367i \(-0.970023\pi\)
0.970434 0.241368i \(-0.0775961\pi\)
\(594\) 5.25676 2.53152i 0.215687 0.103870i
\(595\) −16.4391 6.95601i −0.673938 0.285169i
\(596\) 2.90172 + 1.39739i 0.118859 + 0.0572394i
\(597\) 16.7389 42.6499i 0.685076 1.74554i
\(598\) −0.101605 + 1.35583i −0.00415496 + 0.0554440i
\(599\) 9.33953 + 23.7967i 0.381603 + 0.972308i 0.984640 + 0.174595i \(0.0558617\pi\)
−0.603038 + 0.797713i \(0.706043\pi\)
\(600\) 50.0780 15.4470i 2.04443 0.630622i
\(601\) −5.91107 + 7.41225i −0.241118 + 0.302352i −0.887635 0.460547i \(-0.847653\pi\)
0.646518 + 0.762899i \(0.276225\pi\)
\(602\) −8.48736 13.1803i −0.345919 0.537189i
\(603\) 6.47896 + 8.12436i 0.263844 + 0.330849i
\(604\) 18.9368 + 12.9109i 0.770528 + 0.525337i
\(605\) 27.6623 + 25.6669i 1.12463 + 1.04351i
\(606\) −14.2358 + 24.6572i −0.578292 + 1.00163i
\(607\) 22.8614 + 39.5972i 0.927917 + 1.60720i 0.786801 + 0.617207i \(0.211736\pi\)
0.141116 + 0.989993i \(0.454931\pi\)
\(608\) −2.55774 + 11.2062i −0.103730 + 0.454471i
\(609\) −6.28730 + 4.74900i −0.254774 + 0.192439i
\(610\) −7.20879 31.5838i −0.291875 1.27879i
\(611\) −0.201882 + 0.187319i −0.00816728 + 0.00757813i
\(612\) −5.16540 + 0.778559i −0.208799 + 0.0314714i
\(613\) −1.76692 + 0.266320i −0.0713652 + 0.0107566i −0.184628 0.982809i \(-0.559108\pi\)
0.113263 + 0.993565i \(0.463870\pi\)
\(614\) 19.7299 18.3066i 0.796232 0.738795i
\(615\) 1.42509 + 6.24374i 0.0574653 + 0.251772i
\(616\) −35.0508 + 7.03608i −1.41224 + 0.283492i
\(617\) 4.82611 21.1446i 0.194292 0.851248i −0.779968 0.625820i \(-0.784765\pi\)
0.974260 0.225429i \(-0.0723782\pi\)
\(618\) −17.0632 29.5544i −0.686385 1.18885i
\(619\) −12.6228 + 21.8633i −0.507352 + 0.878760i 0.492612 + 0.870249i \(0.336042\pi\)
−0.999964 + 0.00851049i \(0.997291\pi\)
\(620\) 16.8075 + 15.5951i 0.675006 + 0.626314i
\(621\) −1.64760 1.12331i −0.0661157 0.0450770i
\(622\) 0.264831 + 0.332087i 0.0106187 + 0.0133155i
\(623\) 35.7517 + 3.62661i 1.43236 + 0.145297i
\(624\) 0.588400 0.737830i 0.0235548 0.0295368i
\(625\) −3.62531 + 1.11826i −0.145012 + 0.0447304i
\(626\) −9.69503 24.7025i −0.387491 0.987312i
\(627\) 1.70587 22.7633i 0.0681259 0.909077i
\(628\) −5.12163 + 13.0497i −0.204375 + 0.520739i
\(629\) −10.8639 5.23178i −0.433172 0.208605i
\(630\) 3.69612 20.7963i 0.147257 0.828545i
\(631\) −13.5247 + 6.51314i −0.538409 + 0.259284i −0.683267 0.730168i \(-0.739442\pi\)
0.144858 + 0.989452i \(0.453727\pi\)
\(632\) −1.73674 23.1752i −0.0690839 0.921861i
\(633\) 35.4867 + 10.9462i 1.41047 + 0.435073i
\(634\) −2.06235 + 1.40609i −0.0819066 + 0.0558429i
\(635\) −21.2321 3.20023i −0.842571 0.126997i
\(636\) 10.2515 0.406497
\(637\) −0.889294 + 6.94328i −0.0352351 + 0.275103i
\(638\) −5.50026 −0.217758
\(639\) −11.8559 1.78700i −0.469014 0.0706925i
\(640\) 16.1424 11.0057i 0.638083 0.435038i
\(641\) 34.4541 + 10.6277i 1.36085 + 0.419768i 0.887380 0.461040i \(-0.152523\pi\)
0.473475 + 0.880807i \(0.343000\pi\)
\(642\) 2.70511 + 36.0972i 0.106762 + 1.42464i
\(643\) −15.5473 + 7.48721i −0.613127 + 0.295267i −0.714558 0.699576i \(-0.753372\pi\)
0.101431 + 0.994843i \(0.467658\pi\)
\(644\) 2.93639 + 3.33647i 0.115710 + 0.131475i
\(645\) −47.9179 23.0760i −1.88677 0.908619i
\(646\) −1.34961 + 3.43876i −0.0530998 + 0.135296i
\(647\) −3.19319 + 42.6101i −0.125537 + 1.67518i 0.478399 + 0.878143i \(0.341217\pi\)
−0.603936 + 0.797033i \(0.706402\pi\)
\(648\) 11.0639 + 28.1903i 0.434630 + 1.10742i
\(649\) −8.39942 + 2.59088i −0.329706 + 0.101701i
\(650\) 4.46612 5.60034i 0.175176 0.219663i
\(651\) 32.5220 11.7870i 1.27464 0.461968i
\(652\) 13.2807 + 16.6535i 0.520113 + 0.652200i
\(653\) −3.03893 2.07191i −0.118923 0.0810800i 0.502398 0.864636i \(-0.332451\pi\)
−0.621321 + 0.783556i \(0.713404\pi\)
\(654\) 6.01139 + 5.57775i 0.235064 + 0.218107i
\(655\) 28.4858 49.3388i 1.11303 1.92783i
\(656\) −0.156301 0.270721i −0.00610252 0.0105699i
\(657\) 7.12268 31.2065i 0.277882 1.21748i
\(658\) 0.0177286 0.674110i 0.000691133 0.0262795i
\(659\) −5.24275 22.9700i −0.204228 0.894783i −0.968327 0.249684i \(-0.919673\pi\)
0.764099 0.645099i \(-0.223184\pi\)
\(660\) −32.3420 + 30.0090i −1.25891 + 1.16810i
\(661\) 17.1715 2.58818i 0.667892 0.100669i 0.193660 0.981069i \(-0.437964\pi\)
0.474232 + 0.880400i \(0.342726\pi\)
\(662\) −12.0946 + 1.82296i −0.470068 + 0.0708514i
\(663\) −3.22491 + 2.99228i −0.125245 + 0.116211i
\(664\) 6.42380 + 28.1445i 0.249292 + 1.09222i
\(665\) 15.2588 + 12.8390i 0.591710 + 0.497876i
\(666\) 3.17499 13.9106i 0.123028 0.539023i
\(667\) 0.939919 + 1.62799i 0.0363938 + 0.0630359i
\(668\) −14.1197 + 24.4561i −0.546309 + 0.946236i
\(669\) −31.6587 29.3750i −1.22400 1.13570i
\(670\) −11.7352 8.00095i −0.453372 0.309104i
\(671\) 28.4000 + 35.6125i 1.09637 + 1.37481i
\(672\) −4.12249 33.2633i −0.159029 1.28316i
\(673\) −12.3597 + 15.4986i −0.476433 + 0.597428i −0.960733 0.277474i \(-0.910503\pi\)
0.484300 + 0.874902i \(0.339074\pi\)
\(674\) −8.35253 + 2.57641i −0.321727 + 0.0992397i
\(675\) 3.83816 + 9.77948i 0.147731 + 0.376412i
\(676\) −0.0854526 + 1.14029i −0.00328664 + 0.0438571i
\(677\) 13.1773 33.5752i 0.506444 1.29040i −0.417780 0.908548i \(-0.637192\pi\)
0.924224 0.381851i \(-0.124713\pi\)
\(678\) 33.5475 + 16.1556i 1.28838 + 0.620452i
\(679\) −13.0894 46.7665i −0.502327 1.79473i
\(680\) 17.6841 8.51623i 0.678155 0.326582i
\(681\) 0.743882 + 9.92641i 0.0285056 + 0.380381i
\(682\) 23.0748 + 7.11762i 0.883578 + 0.272548i
\(683\) −4.15825 + 2.83505i −0.159111 + 0.108480i −0.640258 0.768160i \(-0.721173\pi\)
0.481147 + 0.876640i \(0.340220\pi\)
\(684\) 5.77062 + 0.869780i 0.220645 + 0.0332569i
\(685\) −1.13475 −0.0433564
\(686\) −10.6320 13.4442i −0.405930 0.513302i
\(687\) 32.1474 1.22650
\(688\) 2.56702 + 0.386915i 0.0978665 + 0.0147510i
\(689\) 3.18266 2.16990i 0.121250 0.0826666i
\(690\) −10.7929 3.32917i −0.410879 0.126740i
\(691\) 1.10122 + 14.6948i 0.0418924 + 0.559015i 0.978177 + 0.207773i \(0.0666215\pi\)
−0.936285 + 0.351242i \(0.885759\pi\)
\(692\) −13.3528 + 6.43038i −0.507598 + 0.244446i
\(693\) 8.00473 + 28.5996i 0.304074 + 1.08641i
\(694\) 0.668075 + 0.321728i 0.0253598 + 0.0122126i
\(695\) 19.0672 48.5823i 0.723258 1.84283i
\(696\) 0.647460 8.63975i 0.0245419 0.327489i
\(697\) 0.532390 + 1.35651i 0.0201657 + 0.0513814i
\(698\) 13.6458 4.20916i 0.516500 0.159319i
\(699\) 20.5689 25.7926i 0.777987 0.975565i
\(700\) −2.88003 23.2382i −0.108855 0.878320i
\(701\) −19.6173 24.5993i −0.740934 0.929102i 0.258383 0.966042i \(-0.416810\pi\)
−0.999317 + 0.0369404i \(0.988239\pi\)
\(702\) 1.03792 + 0.707644i 0.0391739 + 0.0267083i
\(703\) 9.87482 + 9.16249i 0.372436 + 0.345570i
\(704\) 13.5821 23.5249i 0.511895 0.886628i
\(705\) −1.14390 1.98129i −0.0430817 0.0746196i
\(706\) −4.06367 + 17.8041i −0.152938 + 0.670066i
\(707\) 26.7597 + 22.5161i 1.00640 + 0.846805i
\(708\) −1.12075 4.91032i −0.0421203 0.184541i
\(709\) 18.3415 17.0184i 0.688830 0.639141i −0.256009 0.966674i \(-0.582408\pi\)
0.944840 + 0.327533i \(0.106217\pi\)
\(710\) 16.2049 2.44250i 0.608159 0.0916653i
\(711\) −19.0907 + 2.87747i −0.715959 + 0.107913i
\(712\) −28.9658 + 26.8763i −1.08554 + 1.00723i
\(713\) −1.83646 8.04605i −0.0687759 0.301327i
\(714\) 0.283201 10.7684i 0.0105985 0.402997i
\(715\) −3.68894 + 16.1623i −0.137959 + 0.604436i
\(716\) 5.23782 + 9.07218i 0.195747 + 0.339043i
\(717\) 30.4024 52.6585i 1.13540 1.96657i
\(718\) −7.07106 6.56099i −0.263890 0.244854i
\(719\) −19.0841 13.0113i −0.711717 0.485240i 0.152536 0.988298i \(-0.451256\pi\)
−0.864253 + 0.503058i \(0.832208\pi\)
\(720\) 2.18084 + 2.73469i 0.0812751 + 0.101916i
\(721\) −39.4096 + 14.2832i −1.46769 + 0.531936i
\(722\) −8.39043 + 10.5213i −0.312260 + 0.391561i
\(723\) −10.9778 + 3.38619i −0.408267 + 0.125934i
\(724\) 7.66832 + 19.5385i 0.284991 + 0.726144i
\(725\) 0.740109 9.87606i 0.0274869 0.366788i
\(726\) −8.31972 + 21.1983i −0.308774 + 0.786743i
\(727\) 7.65340 + 3.68568i 0.283849 + 0.136694i 0.570391 0.821373i \(-0.306792\pi\)
−0.286542 + 0.958068i \(0.592506\pi\)
\(728\) −5.08522 5.77808i −0.188471 0.214150i
\(729\) 14.1275 6.80343i 0.523240 0.251979i
\(730\) 3.26948 + 43.6282i 0.121009 + 1.61475i
\(731\) −11.5641 3.56704i −0.427712 0.131932i
\(732\) −21.5649 + 14.7027i −0.797061 + 0.543427i
\(733\) −4.30738 0.649233i −0.159097 0.0239800i 0.0690109 0.997616i \(-0.478016\pi\)
−0.228108 + 0.973636i \(0.573254\pi\)
\(734\) −22.6700 −0.836765
\(735\) −54.5891 20.0371i −2.01355 0.739080i
\(736\) −7.99666 −0.294761
\(737\) 19.7472 + 2.97642i 0.727399 + 0.109638i
\(738\) −1.42473 + 0.971365i −0.0524450 + 0.0357564i
\(739\) −9.73301 3.00224i −0.358034 0.110439i 0.110519 0.993874i \(-0.464749\pi\)
−0.468554 + 0.883435i \(0.655225\pi\)
\(740\) −1.94568 25.9633i −0.0715246 0.954429i
\(741\) 4.42804 2.13243i 0.162668 0.0783368i
\(742\) −1.65047 + 9.28643i −0.0605907 + 0.340915i
\(743\) −35.6722 17.1788i −1.30868 0.630229i −0.356084 0.934454i \(-0.615888\pi\)
−0.952600 + 0.304225i \(0.901603\pi\)
\(744\) −13.8965 + 35.4077i −0.509471 + 1.29811i
\(745\) −0.751265 + 10.0249i −0.0275242 + 0.367285i
\(746\) 3.74322 + 9.53757i 0.137049 + 0.349195i
\(747\) 22.9164 7.06877i 0.838467 0.258633i
\(748\) −6.25921 + 7.84881i −0.228860 + 0.286981i
\(749\) 44.2361 + 4.48726i 1.61635 + 0.163961i
\(750\) 13.1335 + 16.4689i 0.479567 + 0.601357i
\(751\) −32.8684 22.4093i −1.19939 0.817728i −0.212189 0.977229i \(-0.568059\pi\)
−0.987198 + 0.159501i \(0.949012\pi\)
\(752\) 0.0818597 + 0.0759547i 0.00298512 + 0.00276978i
\(753\) −35.6549 + 61.7561i −1.29934 + 2.25052i
\(754\) −0.592113 1.02557i −0.0215635 0.0373491i
\(755\) −15.9193 + 69.7472i −0.579364 + 2.53836i
\(756\) 4.02617 0.808210i 0.146430 0.0293943i
\(757\) −0.269057 1.17881i −0.00977903 0.0428447i 0.969803 0.243890i \(-0.0784234\pi\)
−0.979582 + 0.201045i \(0.935566\pi\)
\(758\) −3.58102 + 3.32270i −0.130068 + 0.120686i
\(759\) 15.7035 2.36692i 0.569999 0.0859136i
\(760\) −21.6827 + 3.26815i −0.786515 + 0.118548i
\(761\) 9.54757 8.85885i 0.346099 0.321133i −0.487899 0.872900i \(-0.662237\pi\)
0.833998 + 0.551767i \(0.186046\pi\)
\(762\) −2.88336 12.6328i −0.104453 0.457639i
\(763\) 8.03761 6.07107i 0.290981 0.219788i
\(764\) 6.20410 27.1819i 0.224456 0.983408i
\(765\) −8.15276 14.1210i −0.294764 0.510546i
\(766\) −1.56612 + 2.71260i −0.0565863 + 0.0980104i
\(767\) −1.38730 1.28723i −0.0500926 0.0464792i
\(768\) 32.2349 + 21.9774i 1.16318 + 0.793040i
\(769\) −33.0950 41.4998i −1.19344 1.49652i −0.823359 0.567521i \(-0.807903\pi\)
−0.370077 0.929001i \(-0.620669\pi\)
\(770\) −21.9770 34.1289i −0.791997 1.22992i
\(771\) −20.1400 + 25.2548i −0.725326 + 0.909530i
\(772\) −15.2325 + 4.69861i −0.548230 + 0.169107i
\(773\) 2.80036 + 7.13521i 0.100722 + 0.256636i