Properties

Label 637.2.bl.a.53.23
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
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: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.23
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.23

$q$-expansion

\(f(q)\) \(=\) \(q+(1.48290 + 1.01102i) q^{2} +(1.80645 + 1.67614i) q^{3} +(0.446138 + 1.13674i) q^{4} +(-3.30336 + 1.01895i) q^{5} +(0.984164 + 4.31190i) q^{6} +(-2.12029 + 1.58252i) q^{7} +(0.311049 - 1.36279i) q^{8} +(0.229623 + 3.06411i) q^{9} +O(q^{10})\) \(q+(1.48290 + 1.01102i) q^{2} +(1.80645 + 1.67614i) q^{3} +(0.446138 + 1.13674i) q^{4} +(-3.30336 + 1.01895i) q^{5} +(0.984164 + 4.31190i) q^{6} +(-2.12029 + 1.58252i) q^{7} +(0.311049 - 1.36279i) q^{8} +(0.229623 + 3.06411i) q^{9} +(-5.92872 - 1.82877i) q^{10} +(-0.427557 + 5.70535i) q^{11} +(-1.09941 + 2.80125i) q^{12} +(0.900969 - 0.433884i) q^{13} +(-4.74414 + 0.203050i) q^{14} +(-7.67524 - 3.69620i) q^{15} +(3.62941 - 3.36760i) q^{16} +(2.37654 - 0.358206i) q^{17} +(-2.75737 + 4.77591i) q^{18} +(-2.59991 - 4.50318i) q^{19} +(-2.63203 - 3.30047i) q^{20} +(-6.48272 - 0.695166i) q^{21} +(-6.40226 + 8.02818i) q^{22} +(6.85517 + 1.03325i) q^{23} +(2.84612 - 1.94045i) q^{24} +(5.74270 - 3.91531i) q^{25} +(1.77471 + 0.267495i) q^{26} +(-0.111696 + 0.140062i) q^{27} +(-2.74485 - 1.70420i) q^{28} +(2.83612 + 3.55638i) q^{29} +(-7.64466 - 13.2409i) q^{30} +(-2.85073 + 4.93760i) q^{31} +(6.02230 - 0.907716i) q^{32} +(-10.3353 + 9.58977i) q^{33} +(3.88633 + 1.87156i) q^{34} +(5.39157 - 7.38809i) q^{35} +(-3.38065 + 1.62803i) q^{36} +(-3.54519 + 9.03299i) q^{37} +(0.697413 - 9.30633i) q^{38} +(2.35480 + 0.726361i) q^{39} +(0.361114 + 4.81873i) q^{40} +(1.30265 - 5.70730i) q^{41} +(-8.91038 - 7.58504i) q^{42} +(2.24752 + 9.84703i) q^{43} +(-6.67625 + 2.05935i) q^{44} +(-3.88070 - 9.88785i) q^{45} +(9.12087 + 8.46293i) q^{46} +(-3.94698 - 2.69100i) q^{47} +12.2009 q^{48} +(1.99127 - 6.71080i) q^{49} +12.4743 q^{50} +(4.89351 + 3.33634i) q^{51} +(0.895169 + 0.830596i) q^{52} +(0.0686852 + 0.175007i) q^{53} +(-0.307240 + 0.0947711i) q^{54} +(-4.40109 - 19.2824i) q^{55} +(1.49713 + 3.38176i) q^{56} +(2.85135 - 12.4926i) q^{57} +(0.610093 + 8.14112i) q^{58} +(7.44582 + 2.29673i) q^{59} +(0.777407 - 10.3738i) q^{60} +(-1.88133 + 4.79355i) q^{61} +(-9.21937 + 4.43981i) q^{62} +(-5.33587 - 6.13341i) q^{63} +(0.926629 + 0.446241i) q^{64} +(-2.53411 + 2.35131i) q^{65} +(-25.0217 + 3.77141i) q^{66} +(3.89389 - 6.74442i) q^{67} +(1.46745 + 2.54170i) q^{68} +(10.6516 + 13.3567i) q^{69} +(15.4647 - 5.50479i) q^{70} +(5.18953 - 6.50746i) q^{71} +(4.24716 + 0.640157i) q^{72} +(9.54602 - 6.50837i) q^{73} +(-14.3897 + 9.81074i) q^{74} +(16.9365 + 2.55277i) q^{75} +(3.95903 - 4.96447i) q^{76} +(-8.12227 - 12.7736i) q^{77} +(2.75757 + 3.45788i) q^{78} +(-0.667247 - 1.15570i) q^{79} +(-8.55781 + 14.8226i) q^{80} +(8.67860 - 1.30809i) q^{81} +(7.70192 - 7.14634i) q^{82} +(1.46697 + 0.706457i) q^{83} +(-2.10196 - 7.67931i) q^{84} +(-7.48557 + 3.60486i) q^{85} +(-6.62273 + 16.8744i) q^{86} +(-0.837685 + 11.1781i) q^{87} +(7.64221 + 2.35731i) q^{88} +(-0.659284 - 8.79753i) q^{89} +(4.24217 - 18.5862i) q^{90} +(-1.22369 + 2.34576i) q^{91} +(1.88381 + 8.25352i) q^{92} +(-13.4258 + 4.14131i) q^{93} +(-3.13230 - 7.98097i) q^{94} +(13.1770 + 12.2264i) q^{95} +(12.4004 + 8.45448i) q^{96} -1.28632 q^{97} +(9.73763 - 7.93821i) q^{98} -17.5800 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.48290 + 1.01102i 1.04857 + 0.714901i 0.959667 0.281139i \(-0.0907123\pi\)
0.0889004 + 0.996041i \(0.471665\pi\)
\(3\) 1.80645 + 1.67614i 1.04295 + 0.967719i 0.999509 0.0313365i \(-0.00997636\pi\)
0.0434445 + 0.999056i \(0.486167\pi\)
\(4\) 0.446138 + 1.13674i 0.223069 + 0.568370i
\(5\) −3.30336 + 1.01895i −1.47731 + 0.455688i −0.925649 0.378383i \(-0.876480\pi\)
−0.551656 + 0.834071i \(0.686004\pi\)
\(6\) 0.984164 + 4.31190i 0.401783 + 1.76033i
\(7\) −2.12029 + 1.58252i −0.801395 + 0.598136i
\(8\) 0.311049 1.36279i 0.109972 0.481820i
\(9\) 0.229623 + 3.06411i 0.0765410 + 1.02137i
\(10\) −5.92872 1.82877i −1.87483 0.578307i
\(11\) −0.427557 + 5.70535i −0.128913 + 1.72023i 0.440143 + 0.897928i \(0.354928\pi\)
−0.569056 + 0.822299i \(0.692691\pi\)
\(12\) −1.09941 + 2.80125i −0.317372 + 0.808652i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) −4.74414 + 0.203050i −1.26792 + 0.0542674i
\(15\) −7.67524 3.69620i −1.98174 0.954355i
\(16\) 3.62941 3.36760i 0.907352 0.841899i
\(17\) 2.37654 0.358206i 0.576396 0.0868778i 0.145627 0.989340i \(-0.453480\pi\)
0.430770 + 0.902462i \(0.358242\pi\)
\(18\) −2.75737 + 4.77591i −0.649919 + 1.12569i
\(19\) −2.59991 4.50318i −0.596461 1.03310i −0.993339 0.115230i \(-0.963240\pi\)
0.396878 0.917872i \(-0.370094\pi\)
\(20\) −2.63203 3.30047i −0.588541 0.738007i
\(21\) −6.48272 0.695166i −1.41464 0.151698i
\(22\) −6.40226 + 8.02818i −1.36497 + 1.71161i
\(23\) 6.85517 + 1.03325i 1.42940 + 0.215448i 0.817701 0.575643i \(-0.195248\pi\)
0.611700 + 0.791090i \(0.290486\pi\)
\(24\) 2.84612 1.94045i 0.580962 0.396093i
\(25\) 5.74270 3.91531i 1.14854 0.783062i
\(26\) 1.77471 + 0.267495i 0.348050 + 0.0524600i
\(27\) −0.111696 + 0.140062i −0.0214959 + 0.0269550i
\(28\) −2.74485 1.70420i −0.518729 0.322064i
\(29\) 2.83612 + 3.55638i 0.526654 + 0.660403i 0.972007 0.234952i \(-0.0754934\pi\)
−0.445353 + 0.895355i \(0.646922\pi\)
\(30\) −7.64466 13.2409i −1.39572 2.41745i
\(31\) −2.85073 + 4.93760i −0.512006 + 0.886820i 0.487898 + 0.872901i \(0.337764\pi\)
−0.999903 + 0.0139187i \(0.995569\pi\)
\(32\) 6.02230 0.907716i 1.06460 0.160463i
\(33\) −10.3353 + 9.58977i −1.79915 + 1.66936i
\(34\) 3.88633 + 1.87156i 0.666500 + 0.320969i
\(35\) 5.39157 7.38809i 0.911342 1.24882i
\(36\) −3.38065 + 1.62803i −0.563441 + 0.271339i
\(37\) −3.54519 + 9.03299i −0.582825 + 1.48501i 0.270022 + 0.962854i \(0.412969\pi\)
−0.852847 + 0.522160i \(0.825126\pi\)
\(38\) 0.697413 9.30633i 0.113135 1.50969i
\(39\) 2.35480 + 0.726361i 0.377070 + 0.116311i
\(40\) 0.361114 + 4.81873i 0.0570971 + 0.761908i
\(41\) 1.30265 5.70730i 0.203440 0.891331i −0.765382 0.643576i \(-0.777450\pi\)
0.968823 0.247755i \(-0.0796928\pi\)
\(42\) −8.91038 7.58504i −1.37490 1.17040i
\(43\) 2.24752 + 9.84703i 0.342744 + 1.50166i 0.793256 + 0.608888i \(0.208384\pi\)
−0.450513 + 0.892770i \(0.648759\pi\)
\(44\) −6.67625 + 2.05935i −1.00648 + 0.310459i
\(45\) −3.88070 9.88785i −0.578500 1.47399i
\(46\) 9.12087 + 8.46293i 1.34480 + 1.24779i
\(47\) −3.94698 2.69100i −0.575726 0.392523i 0.240162 0.970733i \(-0.422799\pi\)
−0.815888 + 0.578209i \(0.803752\pi\)
\(48\) 12.2009 1.76105
\(49\) 1.99127 6.71080i 0.284468 0.958686i
\(50\) 12.4743 1.76413
\(51\) 4.89351 + 3.33634i 0.685228 + 0.467181i
\(52\) 0.895169 + 0.830596i 0.124138 + 0.115183i
\(53\) 0.0686852 + 0.175007i 0.00943464 + 0.0240391i 0.935513 0.353291i \(-0.114937\pi\)
−0.926079 + 0.377330i \(0.876842\pi\)
\(54\) −0.307240 + 0.0947711i −0.0418101 + 0.0128967i
\(55\) −4.40109 19.2824i −0.593443 2.60004i
\(56\) 1.49713 + 3.38176i 0.200062 + 0.451906i
\(57\) 2.85135 12.4926i 0.377671 1.65468i
\(58\) 0.610093 + 8.14112i 0.0801091 + 1.06898i
\(59\) 7.44582 + 2.29673i 0.969363 + 0.299009i 0.738707 0.674026i \(-0.235437\pi\)
0.230656 + 0.973035i \(0.425913\pi\)
\(60\) 0.777407 10.3738i 0.100363 1.33925i
\(61\) −1.88133 + 4.79355i −0.240880 + 0.613751i −0.999276 0.0380423i \(-0.987888\pi\)
0.758397 + 0.651793i \(0.225983\pi\)
\(62\) −9.21937 + 4.43981i −1.17086 + 0.563857i
\(63\) −5.33587 6.13341i −0.672256 0.772738i
\(64\) 0.926629 + 0.446241i 0.115829 + 0.0557801i
\(65\) −2.53411 + 2.35131i −0.314318 + 0.291645i
\(66\) −25.0217 + 3.77141i −3.07996 + 0.464229i
\(67\) 3.89389 6.74442i 0.475715 0.823962i −0.523898 0.851781i \(-0.675523\pi\)
0.999613 + 0.0278189i \(0.00885619\pi\)
\(68\) 1.46745 + 2.54170i 0.177955 + 0.308227i
\(69\) 10.6516 + 13.3567i 1.28231 + 1.60796i
\(70\) 15.4647 5.50479i 1.84838 0.657948i
\(71\) 5.18953 6.50746i 0.615884 0.772294i −0.371875 0.928283i \(-0.621285\pi\)
0.987759 + 0.155989i \(0.0498565\pi\)
\(72\) 4.24716 + 0.640157i 0.500533 + 0.0754432i
\(73\) 9.54602 6.50837i 1.11728 0.761747i 0.143591 0.989637i \(-0.454135\pi\)
0.973687 + 0.227890i \(0.0731828\pi\)
\(74\) −14.3897 + 9.81074i −1.67277 + 1.14048i
\(75\) 16.9365 + 2.55277i 1.95566 + 0.294768i
\(76\) 3.95903 4.96447i 0.454132 0.569463i
\(77\) −8.12227 12.7736i −0.925618 1.45569i
\(78\) 2.75757 + 3.45788i 0.312233 + 0.391528i
\(79\) −0.667247 1.15570i −0.0750711 0.130027i 0.826046 0.563603i \(-0.190585\pi\)
−0.901117 + 0.433576i \(0.857252\pi\)
\(80\) −8.55781 + 14.8226i −0.956792 + 1.65721i
\(81\) 8.67860 1.30809i 0.964288 0.145343i
\(82\) 7.70192 7.14634i 0.850535 0.789181i
\(83\) 1.46697 + 0.706457i 0.161021 + 0.0775437i 0.512659 0.858593i \(-0.328661\pi\)
−0.351637 + 0.936136i \(0.614375\pi\)
\(84\) −2.10196 7.67931i −0.229343 0.837881i
\(85\) −7.48557 + 3.60486i −0.811924 + 0.391002i
\(86\) −6.62273 + 16.8744i −0.714147 + 1.81962i
\(87\) −0.837685 + 11.1781i −0.0898093 + 1.19842i
\(88\) 7.64221 + 2.35731i 0.814662 + 0.251290i
\(89\) −0.659284 8.79753i −0.0698839 0.932536i −0.916423 0.400210i \(-0.868937\pi\)
0.846539 0.532326i \(-0.178682\pi\)
\(90\) 4.24217 18.5862i 0.447164 1.95915i
\(91\) −1.22369 + 2.34576i −0.128277 + 0.245902i
\(92\) 1.88381 + 8.25352i 0.196401 + 0.860488i
\(93\) −13.4258 + 4.14131i −1.39219 + 0.429434i
\(94\) −3.13230 7.98097i −0.323072 0.823174i
\(95\) 13.1770 + 12.2264i 1.35193 + 1.25441i
\(96\) 12.4004 + 8.45448i 1.26561 + 0.862881i
\(97\) −1.28632 −0.130606 −0.0653031 0.997865i \(-0.520801\pi\)
−0.0653031 + 0.997865i \(0.520801\pi\)
\(98\) 9.73763 7.93821i 0.983649 0.801880i
\(99\) −17.5800 −1.76685
\(100\) 7.01273 + 4.78120i 0.701273 + 0.478120i
\(101\) −7.58991 7.04241i −0.755224 0.700746i 0.205375 0.978683i \(-0.434159\pi\)
−0.960599 + 0.277938i \(0.910349\pi\)
\(102\) 3.88346 + 9.89489i 0.384520 + 0.979740i
\(103\) −5.13208 + 1.58304i −0.505679 + 0.155981i −0.537089 0.843525i \(-0.680476\pi\)
0.0314107 + 0.999507i \(0.490000\pi\)
\(104\) −0.311049 1.36279i −0.0305008 0.133633i
\(105\) 22.1231 4.30918i 2.15899 0.420533i
\(106\) −0.0750830 + 0.328960i −0.00729270 + 0.0319514i
\(107\) −0.721234 9.62420i −0.0697243 0.930406i −0.916906 0.399103i \(-0.869322\pi\)
0.847182 0.531303i \(-0.178298\pi\)
\(108\) −0.209046 0.0644823i −0.0201155 0.00620481i
\(109\) 1.19652 15.9664i 0.114606 1.52931i −0.582792 0.812621i \(-0.698040\pi\)
0.697398 0.716684i \(-0.254341\pi\)
\(110\) 12.9686 33.0435i 1.23651 3.15057i
\(111\) −21.5447 + 10.3754i −2.04494 + 0.984790i
\(112\) −2.36612 + 12.8839i −0.223577 + 1.21741i
\(113\) −11.7311 5.64941i −1.10357 0.531452i −0.208792 0.977960i \(-0.566953\pi\)
−0.894780 + 0.446508i \(0.852667\pi\)
\(114\) 16.8586 15.6425i 1.57895 1.46505i
\(115\) −23.6979 + 3.57188i −2.20984 + 0.333080i
\(116\) −2.77738 + 4.81056i −0.257873 + 0.446649i
\(117\) 1.53635 + 2.66103i 0.142035 + 0.246013i
\(118\) 8.71935 + 10.9337i 0.802681 + 1.00653i
\(119\) −4.47210 + 4.52043i −0.409956 + 0.414387i
\(120\) −7.42453 + 9.31007i −0.677764 + 0.849889i
\(121\) −21.4910 3.23925i −1.95373 0.294477i
\(122\) −7.63621 + 5.20628i −0.691350 + 0.471354i
\(123\) 11.9194 8.12652i 1.07474 0.732743i
\(124\) −6.88459 1.03768i −0.618254 0.0931868i
\(125\) −4.20386 + 5.27147i −0.376005 + 0.471495i
\(126\) −1.71153 14.4899i −0.152475 1.29086i
\(127\) 0.577353 + 0.723978i 0.0512318 + 0.0642427i 0.806787 0.590842i \(-0.201204\pi\)
−0.755555 + 0.655085i \(0.772633\pi\)
\(128\) −5.16739 8.95019i −0.456737 0.791092i
\(129\) −12.4450 + 21.5553i −1.09572 + 1.89784i
\(130\) −6.13507 + 0.924713i −0.538081 + 0.0811027i
\(131\) −4.75892 + 4.41563i −0.415789 + 0.385796i −0.860141 0.510057i \(-0.829624\pi\)
0.444352 + 0.895852i \(0.353434\pi\)
\(132\) −15.5120 7.47021i −1.35015 0.650198i
\(133\) 12.6389 + 5.43365i 1.09594 + 0.471157i
\(134\) 12.5930 6.06447i 1.08787 0.523891i
\(135\) 0.226255 0.576489i 0.0194729 0.0496163i
\(136\) 0.251059 3.35016i 0.0215282 0.287273i
\(137\) 10.6118 + 3.27329i 0.906624 + 0.279656i 0.712790 0.701378i \(-0.247431\pi\)
0.193834 + 0.981034i \(0.437908\pi\)
\(138\) 2.29133 + 30.5757i 0.195051 + 2.60278i
\(139\) −3.50359 + 15.3502i −0.297171 + 1.30199i 0.577148 + 0.816640i \(0.304166\pi\)
−0.874319 + 0.485352i \(0.838692\pi\)
\(140\) 10.8037 + 2.83271i 0.913081 + 0.239408i
\(141\) −2.61952 11.4768i −0.220603 0.966525i
\(142\) 14.2747 4.40317i 1.19791 0.369506i
\(143\) 2.09024 + 5.32585i 0.174795 + 0.445370i
\(144\) 11.1521 + 10.3476i 0.929339 + 0.862300i
\(145\) −12.9925 8.85812i −1.07897 0.735627i
\(146\) 20.7359 1.71611
\(147\) 14.8454 8.78506i 1.22443 0.724580i
\(148\) −11.8498 −0.974048
\(149\) −11.9601 8.15428i −0.979812 0.668024i −0.0362923 0.999341i \(-0.511555\pi\)
−0.943520 + 0.331317i \(0.892507\pi\)
\(150\) 22.5342 + 20.9087i 1.83991 + 1.70719i
\(151\) 7.52451 + 19.1721i 0.612336 + 1.56021i 0.814071 + 0.580765i \(0.197247\pi\)
−0.201735 + 0.979440i \(0.564658\pi\)
\(152\) −6.94560 + 2.14244i −0.563363 + 0.173774i
\(153\) 1.64329 + 7.19973i 0.132852 + 0.582063i
\(154\) 0.869917 27.1538i 0.0700999 2.18811i
\(155\) 4.38579 19.2154i 0.352275 1.54342i
\(156\) 0.224883 + 3.00086i 0.0180051 + 0.240261i
\(157\) 13.3479 + 4.11729i 1.06528 + 0.328596i 0.777358 0.629058i \(-0.216559\pi\)
0.287922 + 0.957654i \(0.407035\pi\)
\(158\) 0.178985 2.38839i 0.0142393 0.190010i
\(159\) −0.169260 + 0.431267i −0.0134232 + 0.0342017i
\(160\) −18.9689 + 9.13494i −1.49962 + 0.722180i
\(161\) −16.1701 + 8.65763i −1.27438 + 0.682317i
\(162\) 14.1920 + 6.83450i 1.11503 + 0.536969i
\(163\) 7.05669 6.54765i 0.552723 0.512852i −0.353623 0.935388i \(-0.615051\pi\)
0.906346 + 0.422536i \(0.138860\pi\)
\(164\) 7.06889 1.06546i 0.551987 0.0831987i
\(165\) 24.3697 42.2096i 1.89718 3.28601i
\(166\) 1.46113 + 2.53075i 0.113405 + 0.196424i
\(167\) 9.87037 + 12.3771i 0.763792 + 0.957765i 0.999903 0.0139611i \(-0.00444410\pi\)
−0.236110 + 0.971726i \(0.575873\pi\)
\(168\) −2.96381 + 8.61837i −0.228663 + 0.664922i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −14.7449 2.22244i −1.13089 0.170454i
\(171\) 13.2012 9.00044i 1.00952 0.688281i
\(172\) −10.1908 + 6.94798i −0.777042 + 0.529778i
\(173\) −4.81436 0.725648i −0.366029 0.0551700i −0.0365472 0.999332i \(-0.511636\pi\)
−0.329482 + 0.944162i \(0.606874\pi\)
\(174\) −12.5436 + 15.7291i −0.950924 + 1.19242i
\(175\) −5.98016 + 17.3895i −0.452058 + 1.31452i
\(176\) 17.6615 + 22.1469i 1.33129 + 1.66938i
\(177\) 9.60085 + 16.6292i 0.721644 + 1.24992i
\(178\) 7.91685 13.7124i 0.593393 1.02779i
\(179\) −8.39761 + 1.26574i −0.627667 + 0.0946056i −0.455170 0.890404i \(-0.650422\pi\)
−0.172497 + 0.985010i \(0.555183\pi\)
\(180\) 9.50860 8.82269i 0.708729 0.657604i
\(181\) −9.35486 4.50506i −0.695341 0.334859i 0.0526076 0.998615i \(-0.483247\pi\)
−0.747949 + 0.663757i \(0.768961\pi\)
\(182\) −4.18622 + 2.24135i −0.310303 + 0.166140i
\(183\) −11.4332 + 5.50593i −0.845165 + 0.407010i
\(184\) 3.54039 9.02078i 0.261001 0.665021i
\(185\) 2.50685 33.4515i 0.184307 2.45941i
\(186\) −24.0960 7.43265i −1.76681 0.544988i
\(187\) 1.02758 + 13.7122i 0.0751444 + 1.00273i
\(188\) 1.29808 5.68725i 0.0946720 0.414785i
\(189\) 0.0151769 0.473734i 0.00110396 0.0344591i
\(190\) 7.17889 + 31.4528i 0.520811 + 2.28182i
\(191\) 6.06388 1.87046i 0.438767 0.135342i −0.0674985 0.997719i \(-0.521502\pi\)
0.506265 + 0.862378i \(0.331026\pi\)
\(192\) 0.925945 + 2.35927i 0.0668243 + 0.170266i
\(193\) 3.85959 + 3.58118i 0.277819 + 0.257779i 0.806759 0.590881i \(-0.201220\pi\)
−0.528939 + 0.848660i \(0.677410\pi\)
\(194\) −1.90748 1.30050i −0.136949 0.0933705i
\(195\) −8.51888 −0.610049
\(196\) 8.51682 0.730381i 0.608344 0.0521700i
\(197\) 3.05311 0.217525 0.108763 0.994068i \(-0.465311\pi\)
0.108763 + 0.994068i \(0.465311\pi\)
\(198\) −26.0693 17.7737i −1.85266 1.26312i
\(199\) −12.3607 11.4691i −0.876228 0.813021i 0.107216 0.994236i \(-0.465807\pi\)
−0.983443 + 0.181215i \(0.941997\pi\)
\(200\) −3.54949 9.04397i −0.250987 0.639505i
\(201\) 18.3387 5.65674i 1.29351 0.398996i
\(202\) −4.13503 18.1167i −0.290940 1.27469i
\(203\) −11.6414 3.05235i −0.817068 0.214233i
\(204\) −1.60937 + 7.05111i −0.112678 + 0.493677i
\(205\) 1.51233 + 20.1806i 0.105625 + 1.40947i
\(206\) −9.21083 2.84117i −0.641749 0.197953i
\(207\) −1.59188 + 21.2422i −0.110644 + 1.47644i
\(208\) 1.80884 4.60884i 0.125420 0.319566i
\(209\) 26.8038 12.9080i 1.85406 0.892868i
\(210\) 37.1629 + 15.9768i 2.56449 + 1.10251i
\(211\) 2.43688 + 1.17354i 0.167761 + 0.0807897i 0.515880 0.856661i \(-0.327465\pi\)
−0.348119 + 0.937451i \(0.613179\pi\)
\(212\) −0.168295 + 0.156155i −0.0115585 + 0.0107247i
\(213\) 20.2820 3.05702i 1.38970 0.209464i
\(214\) 8.66077 15.0009i 0.592038 1.02544i
\(215\) −17.4580 30.2381i −1.19062 2.06222i
\(216\) 0.156133 + 0.195785i 0.0106235 + 0.0133215i
\(217\) −1.76947 14.9805i −0.120120 1.01694i
\(218\) 17.9167 22.4669i 1.21347 1.52165i
\(219\) 28.1533 + 4.24343i 1.90243 + 0.286744i
\(220\) 19.9556 13.6055i 1.34541 0.917284i
\(221\) 1.98577 1.35388i 0.133577 0.0910716i
\(222\) −42.4384 6.39656i −2.84828 0.429309i
\(223\) −6.01663 + 7.54461i −0.402903 + 0.505224i −0.941349 0.337436i \(-0.890440\pi\)
0.538445 + 0.842660i \(0.319012\pi\)
\(224\) −11.3326 + 11.4550i −0.757189 + 0.765371i
\(225\) 13.3156 + 16.6972i 0.887705 + 1.11315i
\(226\) −11.6844 20.2379i −0.777234 1.34621i
\(227\) 3.39802 5.88555i 0.225535 0.390637i −0.730945 0.682436i \(-0.760920\pi\)
0.956480 + 0.291799i \(0.0942538\pi\)
\(228\) 15.4729 2.33217i 1.02472 0.154452i
\(229\) −4.61811 + 4.28498i −0.305173 + 0.283159i −0.817861 0.575416i \(-0.804840\pi\)
0.512688 + 0.858575i \(0.328650\pi\)
\(230\) −38.7528 18.6624i −2.55528 1.23056i
\(231\) 6.73789 36.6889i 0.443321 2.41395i
\(232\) 5.72877 2.75883i 0.376112 0.181126i
\(233\) 0.173880 0.443039i 0.0113913 0.0290245i −0.925065 0.379809i \(-0.875990\pi\)
0.936456 + 0.350784i \(0.114085\pi\)
\(234\) −0.412117 + 5.49933i −0.0269410 + 0.359502i
\(235\) 15.7803 + 4.86757i 1.02939 + 0.317525i
\(236\) 0.711074 + 9.48863i 0.0462870 + 0.617657i
\(237\) 0.731776 3.20612i 0.0475339 0.208260i
\(238\) −11.2019 + 2.18194i −0.726112 + 0.141434i
\(239\) 0.501025 + 2.19513i 0.0324086 + 0.141991i 0.988544 0.150934i \(-0.0482283\pi\)
−0.956135 + 0.292926i \(0.905371\pi\)
\(240\) −40.3039 + 12.4321i −2.60161 + 0.802489i
\(241\) 1.77457 + 4.52154i 0.114310 + 0.291258i 0.976567 0.215214i \(-0.0690448\pi\)
−0.862257 + 0.506471i \(0.830950\pi\)
\(242\) −28.5940 26.5314i −1.83809 1.70550i
\(243\) 18.3140 + 12.4863i 1.17485 + 0.800996i
\(244\) −6.28835 −0.402571
\(245\) 0.260089 + 24.1972i 0.0166165 + 1.54590i
\(246\) 25.8914 1.65077
\(247\) −4.29630 2.92917i −0.273367 0.186378i
\(248\) 5.84221 + 5.42078i 0.370981 + 0.344220i
\(249\) 1.46589 + 3.73503i 0.0928971 + 0.236698i
\(250\) −11.5635 + 3.56686i −0.731339 + 0.225588i
\(251\) 4.15838 + 18.2191i 0.262475 + 1.14998i 0.918557 + 0.395288i \(0.129355\pi\)
−0.656082 + 0.754689i \(0.727788\pi\)
\(252\) 4.59157 8.80185i 0.289242 0.554464i
\(253\) −8.82602 + 38.6693i −0.554887 + 2.43112i
\(254\) 0.124198 + 1.65730i 0.00779286 + 0.103988i
\(255\) −19.5646 6.03486i −1.22518 0.377918i
\(256\) 1.53984 20.5478i 0.0962402 1.28424i
\(257\) 8.71864 22.2147i 0.543854 1.38572i −0.349743 0.936846i \(-0.613731\pi\)
0.893597 0.448871i \(-0.148174\pi\)
\(258\) −40.2475 + 19.3822i −2.50570 + 1.20668i
\(259\) −6.77804 24.7629i −0.421167 1.53869i
\(260\) −3.80340 1.83162i −0.235877 0.113592i
\(261\) −10.2459 + 9.50678i −0.634204 + 0.588455i
\(262\) −11.5213 + 1.73656i −0.711789 + 0.107285i
\(263\) 10.0647 17.4325i 0.620613 1.07493i −0.368758 0.929525i \(-0.620217\pi\)
0.989372 0.145409i \(-0.0464497\pi\)
\(264\) 9.85408 + 17.0678i 0.606477 + 1.05045i
\(265\) −0.405215 0.508124i −0.0248922 0.0312138i
\(266\) 13.2487 + 20.8358i 0.812331 + 1.27753i
\(267\) 13.5549 16.9973i 0.829548 1.04022i
\(268\) 9.40386 + 1.41740i 0.574432 + 0.0865818i
\(269\) −11.6185 + 7.92136i −0.708392 + 0.482974i −0.863130 0.504982i \(-0.831499\pi\)
0.154738 + 0.987956i \(0.450547\pi\)
\(270\) 0.918357 0.626125i 0.0558894 0.0381048i
\(271\) −12.9081 1.94559i −0.784114 0.118186i −0.255230 0.966880i \(-0.582151\pi\)
−0.528884 + 0.848694i \(0.677389\pi\)
\(272\) 7.41915 9.30332i 0.449852 0.564096i
\(273\) −6.14235 + 2.18642i −0.371752 + 0.132328i
\(274\) 12.4268 + 15.5827i 0.750729 + 0.941385i
\(275\) 19.8829 + 34.4381i 1.19898 + 2.07670i
\(276\) −10.4310 + 18.0671i −0.627874 + 1.08751i
\(277\) −29.6883 + 4.47479i −1.78380 + 0.268864i −0.956254 0.292539i \(-0.905500\pi\)
−0.827542 + 0.561403i \(0.810262\pi\)
\(278\) −20.7149 + 19.2206i −1.24240 + 1.15278i
\(279\) −15.7839 7.60114i −0.944959 0.455068i
\(280\) −8.39140 9.64565i −0.501482 0.576438i
\(281\) −5.94884 + 2.86481i −0.354878 + 0.170900i −0.602825 0.797873i \(-0.705958\pi\)
0.247947 + 0.968774i \(0.420244\pi\)
\(282\) 7.71888 19.6674i 0.459653 1.17118i
\(283\) 0.400159 5.33975i 0.0237870 0.317415i −0.972600 0.232485i \(-0.925314\pi\)
0.996387 0.0849300i \(-0.0270667\pi\)
\(284\) 9.71254 + 2.99592i 0.576333 + 0.177775i
\(285\) 3.31030 + 44.1728i 0.196085 + 2.61657i
\(286\) −2.28494 + 10.0110i −0.135111 + 0.591961i
\(287\) 6.26990 + 14.1626i 0.370101 + 0.835993i
\(288\) 4.16420 + 18.2445i 0.245378 + 1.07507i
\(289\) −10.7251 + 3.30825i −0.630888 + 0.194603i
\(290\) −10.3108 26.2714i −0.605468 1.54271i
\(291\) −2.32367 2.15605i −0.136216 0.126390i
\(292\) 11.6572 + 7.94772i 0.682184 + 0.465105i
\(293\) −24.1631 −1.41162 −0.705812 0.708399i \(-0.749418\pi\)
−0.705812 + 0.708399i \(0.749418\pi\)
\(294\) 30.8961 + 1.98165i 1.80189 + 0.115572i
\(295\) −26.9365 −1.56830
\(296\) 11.2074 + 7.64105i 0.651415 + 0.444127i
\(297\) −0.751348 0.697149i −0.0435976 0.0404527i
\(298\) −9.49149 24.1839i −0.549827 1.40094i
\(299\) 6.62460 2.04342i 0.383111 0.118174i
\(300\) 4.65418 + 20.3913i 0.268709 + 1.17729i
\(301\) −20.3485 17.3218i −1.17287 0.998414i
\(302\) −8.22538 + 36.0378i −0.473318 + 2.07374i
\(303\) −1.90673 25.4435i −0.109539 1.46169i
\(304\) −24.6011 7.58842i −1.41097 0.435226i
\(305\) 1.33031 17.7518i 0.0761734 1.01646i
\(306\) −4.84226 + 12.3379i −0.276813 + 0.705309i
\(307\) 10.5024 5.05767i 0.599401 0.288656i −0.109475 0.993990i \(-0.534917\pi\)
0.708876 + 0.705333i \(0.249203\pi\)
\(308\) 10.8966 14.9317i 0.620893 0.850813i
\(309\) −11.9242 5.74240i −0.678345 0.326674i
\(310\) 25.9309 24.0604i 1.47278 1.36654i
\(311\) 32.7721 4.93960i 1.85834 0.280099i 0.878180 0.478330i \(-0.158758\pi\)
0.980155 + 0.198231i \(0.0635195\pi\)
\(312\) 1.72234 2.98317i 0.0975081 0.168889i
\(313\) 2.41261 + 4.17876i 0.136369 + 0.236198i 0.926120 0.377230i \(-0.123123\pi\)
−0.789751 + 0.613428i \(0.789790\pi\)
\(314\) 15.6309 + 19.6006i 0.882105 + 1.10612i
\(315\) 23.8759 + 14.8239i 1.34526 + 0.835230i
\(316\) 1.01605 1.27409i 0.0571574 0.0716731i
\(317\) 27.7392 + 4.18102i 1.55799 + 0.234829i 0.870796 0.491644i \(-0.163604\pi\)
0.687194 + 0.726473i \(0.258842\pi\)
\(318\) −0.687016 + 0.468400i −0.0385260 + 0.0262666i
\(319\) −21.5030 + 14.6605i −1.20393 + 0.820829i
\(320\) −3.51568 0.529904i −0.196533 0.0296225i
\(321\) 14.8286 18.5945i 0.827653 1.03784i
\(322\) −32.7317 3.50994i −1.82406 0.195601i
\(323\) −7.79188 9.77071i −0.433552 0.543657i
\(324\) 5.35881 + 9.28172i 0.297711 + 0.515651i
\(325\) 3.47521 6.01924i 0.192770 0.333887i
\(326\) 17.0842 2.57503i 0.946205 0.142618i
\(327\) 28.9234 26.8370i 1.59947 1.48409i
\(328\) −7.37268 3.55050i −0.407088 0.196043i
\(329\) 12.6273 0.540451i 0.696166 0.0297960i
\(330\) 78.8126 37.9542i 4.33849 2.08931i
\(331\) 4.38808 11.1806i 0.241191 0.614544i −0.758103 0.652135i \(-0.773873\pi\)
0.999293 + 0.0375917i \(0.0119686\pi\)
\(332\) −0.148586 + 1.98274i −0.00815473 + 0.108817i
\(333\) −28.4921 8.78865i −1.56136 0.481615i
\(334\) 2.12327 + 28.3331i 0.116180 + 1.55032i
\(335\) −5.99068 + 26.2469i −0.327306 + 1.43402i
\(336\) −25.8695 + 19.3081i −1.41129 + 1.05335i
\(337\) 2.72242 + 11.9277i 0.148300 + 0.649744i 0.993357 + 0.115069i \(0.0367090\pi\)
−0.845058 + 0.534675i \(0.820434\pi\)
\(338\) 1.71502 0.529014i 0.0932849 0.0287746i
\(339\) −11.7225 29.8684i −0.636677 1.62223i
\(340\) −7.43739 6.90089i −0.403349 0.374253i
\(341\) −26.9519 18.3755i −1.45953 0.995088i
\(342\) 28.6757 1.55061
\(343\) 6.39788 + 17.3801i 0.345453 + 0.938436i
\(344\) 14.1185 0.761221
\(345\) −48.7960 33.2685i −2.62709 1.79112i
\(346\) −6.40556 5.94349i −0.344365 0.319524i
\(347\) 1.99861 + 5.09237i 0.107291 + 0.273373i 0.974429 0.224695i \(-0.0721385\pi\)
−0.867138 + 0.498067i \(0.834043\pi\)
\(348\) −13.0804 + 4.03476i −0.701181 + 0.216286i
\(349\) 5.38931 + 23.6121i 0.288483 + 1.26393i 0.886607 + 0.462523i \(0.153056\pi\)
−0.598124 + 0.801404i \(0.704087\pi\)
\(350\) −26.4492 + 19.7408i −1.41377 + 1.05519i
\(351\) −0.0398639 + 0.174655i −0.00212778 + 0.00932240i
\(352\) 2.60396 + 34.7474i 0.138792 + 1.85204i
\(353\) −19.1405 5.90408i −1.01875 0.314242i −0.259988 0.965612i \(-0.583719\pi\)
−0.758761 + 0.651370i \(0.774195\pi\)
\(354\) −2.57538 + 34.3660i −0.136880 + 1.82653i
\(355\) −10.5121 + 26.7843i −0.557923 + 1.42156i
\(356\) 9.70638 4.67434i 0.514437 0.247740i
\(357\) −15.6555 + 0.670057i −0.828575 + 0.0354632i
\(358\) −13.7325 6.61322i −0.725785 0.349520i
\(359\) 6.33837 5.88115i 0.334526 0.310395i −0.494967 0.868912i \(-0.664820\pi\)
0.829493 + 0.558517i \(0.188629\pi\)
\(360\) −14.6822 + 2.21298i −0.773819 + 0.116634i
\(361\) −4.01911 + 6.96130i −0.211532 + 0.366384i
\(362\) −9.31758 16.1385i −0.489721 0.848222i
\(363\) −33.3930 41.8735i −1.75268 2.19779i
\(364\) −3.21245 0.344484i −0.168378 0.0180558i
\(365\) −24.9022 + 31.2264i −1.30344 + 1.63446i
\(366\) −22.5209 3.39447i −1.17718 0.177432i
\(367\) 5.29547 3.61039i 0.276421 0.188461i −0.417172 0.908827i \(-0.636979\pi\)
0.693594 + 0.720367i \(0.256026\pi\)
\(368\) 28.3598 19.3354i 1.47835 1.00792i
\(369\) 17.7869 + 2.68094i 0.925949 + 0.139564i
\(370\) 37.5377 47.0708i 1.95149 2.44709i
\(371\) −0.422585 0.262370i −0.0219395 0.0136216i
\(372\) −10.6973 13.4141i −0.554632 0.695486i
\(373\) 12.0640 + 20.8955i 0.624652 + 1.08193i 0.988608 + 0.150513i \(0.0480926\pi\)
−0.363956 + 0.931416i \(0.618574\pi\)
\(374\) −12.3395 + 21.3726i −0.638060 + 1.10515i
\(375\) −16.4298 + 2.47639i −0.848430 + 0.127880i
\(376\) −4.89498 + 4.54188i −0.252439 + 0.234230i
\(377\) 4.09831 + 1.97364i 0.211074 + 0.101648i
\(378\) 0.501462 0.687156i 0.0257924 0.0353435i
\(379\) 9.73394 4.68762i 0.499999 0.240787i −0.166847 0.985983i \(-0.553358\pi\)
0.666845 + 0.745196i \(0.267644\pi\)
\(380\) −8.01954 + 20.4335i −0.411394 + 1.04821i
\(381\) −0.170529 + 2.27555i −0.00873647 + 0.116580i
\(382\) 10.8832 + 3.35702i 0.556833 + 0.171760i
\(383\) −0.228726 3.05214i −0.0116874 0.155957i −0.999994 0.00347728i \(-0.998893\pi\)
0.988307 0.152480i \(-0.0487259\pi\)
\(384\) 5.66713 24.8293i 0.289199 1.26707i
\(385\) 39.8464 + 33.9196i 2.03076 + 1.72870i
\(386\) 2.10273 + 9.21266i 0.107026 + 0.468912i
\(387\) −29.6562 + 9.14774i −1.50751 + 0.465006i
\(388\) −0.573877 1.46221i −0.0291342 0.0742327i
\(389\) 4.37767 + 4.06188i 0.221957 + 0.205946i 0.783311 0.621630i \(-0.213529\pi\)
−0.561355 + 0.827575i \(0.689720\pi\)
\(390\) −12.6326 8.61278i −0.639678 0.436125i
\(391\) 16.6617 0.842619
\(392\) −8.52605 4.80108i −0.430630 0.242491i
\(393\) −15.9980 −0.806991
\(394\) 4.52746 + 3.08677i 0.228090 + 0.155509i
\(395\) 3.38176 + 3.13781i 0.170155 + 0.157881i
\(396\) −7.84308 19.9838i −0.394130 1.00423i
\(397\) 10.7483 3.31542i 0.539444 0.166396i −0.0130477 0.999915i \(-0.504153\pi\)
0.552492 + 0.833518i \(0.313677\pi\)
\(398\) −6.73419 29.5044i −0.337555 1.47892i
\(399\) 13.7240 + 31.0002i 0.687062 + 1.55195i
\(400\) 7.65742 33.5494i 0.382871 1.67747i
\(401\) 2.11926 + 28.2796i 0.105831 + 1.41221i 0.757066 + 0.653339i \(0.226632\pi\)
−0.651235 + 0.758876i \(0.725749\pi\)
\(402\) 32.9135 + 10.1525i 1.64158 + 0.506359i
\(403\) −0.426070 + 5.68551i −0.0212241 + 0.283215i
\(404\) 4.61924 11.7696i 0.229816 0.585562i
\(405\) −27.3356 + 13.1641i −1.35832 + 0.654131i
\(406\) −14.1770 16.2961i −0.703595 0.808760i
\(407\) −50.0206 24.0886i −2.47943 1.19403i
\(408\) 6.06885 5.63107i 0.300453 0.278780i
\(409\) 19.7849 2.98209i 0.978301 0.147455i 0.359621 0.933098i \(-0.382906\pi\)
0.618680 + 0.785643i \(0.287668\pi\)
\(410\) −18.1604 + 31.4548i −0.896879 + 1.55344i
\(411\) 13.6831 + 23.6998i 0.674937 + 1.16903i
\(412\) −4.08911 5.12759i −0.201456 0.252618i
\(413\) −19.4219 + 6.91341i −0.955691 + 0.340186i
\(414\) −23.8370 + 29.8906i −1.17152 + 1.46904i
\(415\) −5.56578 0.838906i −0.273213 0.0411803i
\(416\) 5.03207 3.43080i 0.246717 0.168209i
\(417\) −32.0582 + 21.8569i −1.56990 + 1.07034i
\(418\) 52.7977 + 7.95797i 2.58242 + 0.389237i
\(419\) −3.31004 + 4.15066i −0.161706 + 0.202773i −0.856083 0.516839i \(-0.827109\pi\)
0.694377 + 0.719612i \(0.255680\pi\)
\(420\) 14.7684 + 23.2257i 0.720622 + 1.13330i
\(421\) −11.0672 13.8779i −0.539385 0.676367i 0.435214 0.900327i \(-0.356673\pi\)
−0.974598 + 0.223960i \(0.928101\pi\)
\(422\) 2.42717 + 4.20397i 0.118153 + 0.204646i
\(423\) 7.33920 12.7119i 0.356844 0.618073i
\(424\) 0.259863 0.0391680i 0.0126201 0.00190217i
\(425\) 12.2453 11.3620i 0.593984 0.551137i
\(426\) 33.1669 + 15.9723i 1.60694 + 0.773862i
\(427\) −3.59691 13.1410i −0.174067 0.635936i
\(428\) 10.6184 5.11357i 0.513262 0.247174i
\(429\) −5.15095 + 13.1244i −0.248690 + 0.633652i
\(430\) 4.68301 62.4905i 0.225835 3.01356i
\(431\) 4.36215 + 1.34555i 0.210118 + 0.0648127i 0.398027 0.917374i \(-0.369695\pi\)
−0.187910 + 0.982186i \(0.560171\pi\)
\(432\) 0.0662834 + 0.884491i 0.00318906 + 0.0425551i
\(433\) 5.88947 25.8035i 0.283030 1.24003i −0.610856 0.791741i \(-0.709175\pi\)
0.893886 0.448294i \(-0.147968\pi\)
\(434\) 12.5217 24.0035i 0.601059 1.15221i
\(435\) −8.62279 37.7789i −0.413431 1.81136i
\(436\) 18.6835 5.76309i 0.894777 0.276002i
\(437\) −13.1699 33.5564i −0.630003 1.60522i
\(438\) 37.4583 + 34.7562i 1.78983 + 1.66072i
\(439\) −10.8632 7.40643i −0.518474 0.353490i 0.275637 0.961262i \(-0.411111\pi\)
−0.794112 + 0.607772i \(0.792063\pi\)
\(440\) −27.6469 −1.31802
\(441\) 21.0198 + 4.56052i 1.00094 + 0.217167i
\(442\) 4.31350 0.205172
\(443\) −29.9555 20.4233i −1.42323 0.970339i −0.997865 0.0653160i \(-0.979194\pi\)
−0.425362 0.905023i \(-0.639853\pi\)
\(444\) −21.4061 19.8619i −1.01589 0.942605i
\(445\) 11.1421 + 28.3896i 0.528186 + 1.34580i
\(446\) −16.5498 + 5.10494i −0.783657 + 0.241726i
\(447\) −7.93765 34.7771i −0.375438 1.64490i
\(448\) −2.67091 + 0.520246i −0.126189 + 0.0245793i
\(449\) 4.21572 18.4703i 0.198952 0.871667i −0.772610 0.634881i \(-0.781049\pi\)
0.971562 0.236785i \(-0.0760938\pi\)
\(450\) 2.86439 + 38.2226i 0.135029 + 1.80183i
\(451\) 32.0052 + 9.87229i 1.50707 + 0.464868i
\(452\) 1.18822 15.8557i 0.0558891 0.745788i
\(453\) −18.5425 + 47.2456i −0.871204 + 2.21979i
\(454\) 10.9893 5.29219i 0.515755 0.248375i
\(455\) 1.65206 8.99575i 0.0774499 0.421727i
\(456\) −16.1379 7.77160i −0.755726 0.363939i
\(457\) −0.660979 + 0.613299i −0.0309193 + 0.0286889i −0.695481 0.718544i \(-0.744809\pi\)
0.664562 + 0.747233i \(0.268618\pi\)
\(458\) −11.1804 + 1.68517i −0.522425 + 0.0787429i
\(459\) −0.215279 + 0.372875i −0.0100484 + 0.0174043i
\(460\) −14.6328 25.3448i −0.682259 1.18171i
\(461\) 18.2886 + 22.9332i 0.851785 + 1.06810i 0.996899 + 0.0786895i \(0.0250736\pi\)
−0.145114 + 0.989415i \(0.546355\pi\)
\(462\) 47.0849 47.5938i 2.19059 2.21426i
\(463\) 6.01225 7.53913i 0.279413 0.350373i −0.622245 0.782823i \(-0.713779\pi\)
0.901658 + 0.432450i \(0.142351\pi\)
\(464\) 22.2699 + 3.35664i 1.03385 + 0.155828i
\(465\) 40.1304 27.3604i 1.86100 1.26881i
\(466\) 0.705770 0.481186i 0.0326941 0.0222905i
\(467\) 16.0473 + 2.41874i 0.742581 + 0.111926i 0.509427 0.860514i \(-0.329857\pi\)
0.233154 + 0.972440i \(0.425095\pi\)
\(468\) −2.33948 + 2.93362i −0.108143 + 0.135606i
\(469\) 2.41698 + 20.4623i 0.111606 + 0.944861i
\(470\) 18.4793 + 23.1723i 0.852387 + 1.06886i
\(471\) 17.2112 + 29.8107i 0.793050 + 1.37360i
\(472\) 5.44598 9.43272i 0.250672 0.434176i
\(473\) −57.1416 + 8.61272i −2.62738 + 0.396013i
\(474\) 4.32661 4.01451i 0.198728 0.184392i
\(475\) −32.5619 15.6810i −1.49404 0.719493i
\(476\) −7.13372 3.06688i −0.326974 0.140570i
\(477\) −0.520468 + 0.250644i −0.0238306 + 0.0114762i
\(478\) −1.47636 + 3.76170i −0.0675271 + 0.172056i
\(479\) 1.36637 18.2329i 0.0624308 0.833081i −0.874825 0.484439i \(-0.839024\pi\)
0.937256 0.348642i \(-0.113357\pi\)
\(480\) −49.5778 15.2927i −2.26290 0.698014i
\(481\) 0.725164 + 9.67664i 0.0330646 + 0.441217i
\(482\) −1.93987 + 8.49911i −0.0883585 + 0.387124i
\(483\) −43.7218 11.4637i −1.98941 0.521619i
\(484\) −5.90577 25.8749i −0.268444 1.17613i
\(485\) 4.24918 1.31070i 0.192945 0.0595157i
\(486\) 14.5339 + 37.0318i 0.659271 + 1.67980i
\(487\) −23.6312 21.9265i −1.07083 0.993587i −0.0708394 0.997488i \(-0.522568\pi\)
−0.999992 + 0.00390101i \(0.998758\pi\)
\(488\) 5.94743 + 4.05489i 0.269227 + 0.183556i
\(489\) 23.7223 1.07276
\(490\) −24.0782 + 36.1449i −1.08774 + 1.63286i
\(491\) 28.4565 1.28423 0.642113 0.766610i \(-0.278058\pi\)
0.642113 + 0.766610i \(0.278058\pi\)
\(492\) 14.5554 + 9.92373i 0.656210 + 0.447396i
\(493\) 8.01407 + 7.43597i 0.360936 + 0.334899i
\(494\) −3.40952 8.68731i −0.153402 0.390861i
\(495\) 58.0728 17.9131i 2.61018 0.805134i
\(496\) 6.28141 + 27.5207i 0.282044 + 1.23571i
\(497\) −0.705136 + 22.0102i −0.0316297 + 0.987294i
\(498\) −1.60243 + 7.02072i −0.0718067 + 0.314606i
\(499\) 0.648614 + 8.65516i 0.0290360 + 0.387458i 0.992723 + 0.120423i \(0.0384250\pi\)
−0.963687 + 0.267035i \(0.913956\pi\)
\(500\) −7.86780 2.42689i −0.351859 0.108534i
\(501\) −2.91535 + 38.9026i −0.130248 + 1.73804i
\(502\) −12.2534 + 31.2212i −0.546898 + 1.39347i
\(503\) 1.83704 0.884670i 0.0819094 0.0394455i −0.392481 0.919760i \(-0.628383\pi\)
0.474390 + 0.880315i \(0.342669\pi\)
\(504\) −10.0183 + 5.36389i −0.446250 + 0.238927i
\(505\) 32.2480 + 15.5298i 1.43502 + 0.691069i
\(506\) −52.1837 + 48.4194i −2.31985 + 2.15250i
\(507\) 2.43676 0.367283i 0.108220 0.0163116i
\(508\) −0.565396 + 0.979295i −0.0250854 + 0.0434492i
\(509\) −2.69900 4.67481i −0.119631 0.207207i 0.799990 0.600013i \(-0.204838\pi\)
−0.919622 + 0.392806i \(0.871505\pi\)
\(510\) −22.9109 28.7293i −1.01451 1.27215i
\(511\) −9.94074 + 28.9064i −0.439752 + 1.27874i
\(512\) 10.1704 12.7533i 0.449474 0.563623i
\(513\) 0.921127 + 0.138838i 0.0406688 + 0.00612983i
\(514\) 35.3885 24.1274i 1.56092 1.06422i
\(515\) 15.3400 10.4587i 0.675963 0.460864i
\(516\) −30.0549 4.53005i −1.32310 0.199425i
\(517\) 17.0407 21.3683i 0.749448 0.939778i
\(518\) 14.9847 43.5736i 0.658390 1.91451i
\(519\) −7.48060 9.38038i −0.328362 0.411753i
\(520\) 2.41612 + 4.18485i 0.105954 + 0.183518i
\(521\) −13.6579 + 23.6562i −0.598365 + 1.03640i 0.394698 + 0.918811i \(0.370849\pi\)
−0.993063 + 0.117587i \(0.962484\pi\)
\(522\) −24.8052 + 3.73878i −1.08569 + 0.163642i
\(523\) −18.8300 + 17.4717i −0.823378 + 0.763984i −0.974466 0.224537i \(-0.927913\pi\)
0.151087 + 0.988520i \(0.451723\pi\)
\(524\) −7.14256 3.43968i −0.312024 0.150263i
\(525\) −39.9501 + 21.3897i −1.74357 + 0.933523i
\(526\) 32.5495 15.6750i 1.41923 0.683463i
\(527\) −5.00619 + 12.7556i −0.218073 + 0.555642i
\(528\) −5.21657 + 69.6103i −0.227022 + 3.02940i
\(529\) 23.9475 + 7.38683i 1.04120 + 0.321167i
\(530\) −0.0871681 1.16318i −0.00378634 0.0505252i
\(531\) −5.32770 + 23.3422i −0.231202 + 1.01296i
\(532\) −0.537940 + 16.7914i −0.0233226 + 0.727998i
\(533\) −1.30265 5.70730i −0.0564242 0.247211i
\(534\) 37.2853 11.5010i 1.61349 0.497696i
\(535\) 12.1891 + 31.0573i 0.526980 + 1.34272i
\(536\) −7.98005 7.40441i −0.344686 0.319822i
\(537\) −17.2914 11.7891i −0.746179 0.508736i
\(538\) −25.2377 −1.08808
\(539\) 37.4360 + 14.2301i 1.61248 + 0.612936i
\(540\) 0.756259 0.0325442
\(541\) −17.0034 11.5927i −0.731033 0.498410i 0.139683 0.990196i \(-0.455392\pi\)
−0.870716 + 0.491787i \(0.836344\pi\)
\(542\) −17.1744 15.9355i −0.737705 0.684490i
\(543\) −9.34795 23.8182i −0.401159 1.02214i
\(544\) 13.9871 4.31445i 0.599693 0.184981i
\(545\) 12.3165 + 53.9619i 0.527579 + 2.31148i
\(546\) −11.3190 2.96781i −0.484408 0.127011i
\(547\) −4.42897 + 19.4046i −0.189369 + 0.829681i 0.787581 + 0.616212i \(0.211333\pi\)
−0.976950 + 0.213469i \(0.931524\pi\)
\(548\) 1.01342 + 13.5232i 0.0432912 + 0.577680i
\(549\) −15.1199 4.66388i −0.645303 0.199050i
\(550\) −5.33347 + 71.1703i −0.227420 + 3.03471i
\(551\) 8.64136 22.0178i 0.368134 0.937991i
\(552\) 21.5156 10.3614i 0.915765 0.441009i
\(553\) 3.24368 + 1.39450i 0.137935 + 0.0593002i
\(554\) −48.5488 23.3799i −2.06264 0.993316i
\(555\) 60.5979 56.2267i 2.57224 2.38669i
\(556\) −19.0123 + 2.86565i −0.806303 + 0.121531i
\(557\) 15.6641 27.1309i 0.663707 1.14957i −0.315927 0.948784i \(-0.602315\pi\)
0.979634 0.200791i \(-0.0643512\pi\)
\(558\) −15.7210 27.2296i −0.665524 1.15272i
\(559\) 6.29741 + 7.89670i 0.266352 + 0.333995i
\(560\) −5.31192 44.9710i −0.224469 1.90037i
\(561\) −21.1272 + 26.4927i −0.891991 + 1.11852i
\(562\) −11.7179 1.76619i −0.494290 0.0745023i
\(563\) −16.5781 + 11.3027i −0.698682 + 0.476354i −0.859832 0.510576i \(-0.829432\pi\)
0.161150 + 0.986930i \(0.448480\pi\)
\(564\) 11.8775 8.09796i 0.500134 0.340986i
\(565\) 44.5086 + 6.70859i 1.87249 + 0.282232i
\(566\) 5.99201 7.51374i 0.251863 0.315826i
\(567\) −16.3311 + 16.5076i −0.685841 + 0.693252i
\(568\) −7.25413 9.09639i −0.304376 0.381676i
\(569\) −14.7739 25.5892i −0.619356 1.07276i −0.989603 0.143823i \(-0.954060\pi\)
0.370247 0.928933i \(-0.379273\pi\)
\(570\) −39.7509 + 68.8506i −1.66498 + 2.88383i
\(571\) 29.1346 4.39133i 1.21924 0.183771i 0.492273 0.870441i \(-0.336166\pi\)
0.726970 + 0.686669i \(0.240928\pi\)
\(572\) −5.12157 + 4.75212i −0.214144 + 0.198696i
\(573\) 14.0892 + 6.78502i 0.588586 + 0.283448i
\(574\) −5.02111 + 27.3407i −0.209577 + 1.14118i
\(575\) 43.4127 20.9064i 1.81043 0.871859i
\(576\) −1.15455 + 2.94176i −0.0481064 + 0.122573i
\(577\) 2.25713 30.1193i 0.0939655 1.25388i −0.728491 0.685055i \(-0.759778\pi\)
0.822457 0.568827i \(-0.192603\pi\)
\(578\) −19.2489 5.93751i −0.800650 0.246968i
\(579\) 0.969601 + 12.9384i 0.0402952 + 0.537702i
\(580\) 4.27295 18.7210i 0.177424 0.777347i
\(581\) −4.22839 + 0.823617i −0.175423 + 0.0341694i
\(582\) −1.26595 5.54650i −0.0524754 0.229910i
\(583\) −1.02784 + 0.317048i −0.0425689 + 0.0131308i
\(584\) −5.90028 15.0337i −0.244155 0.622097i
\(585\) −7.78657 7.22488i −0.321935 0.298712i
\(586\) −35.8314 24.4294i −1.48018 1.00917i
\(587\) 22.7501 0.938996 0.469498 0.882934i \(-0.344435\pi\)
0.469498 + 0.882934i \(0.344435\pi\)
\(588\) 16.6094 + 12.9560i 0.684961 + 0.534296i
\(589\) 29.6466 1.22157
\(590\) −39.9440 27.2334i −1.64447 1.12118i
\(591\) 5.51529 + 5.11744i 0.226869 + 0.210503i
\(592\) 17.5525 + 44.7232i 0.721405 + 1.83811i
\(593\) 3.50151 1.08007i 0.143790 0.0443532i −0.222025 0.975041i \(-0.571267\pi\)
0.365815 + 0.930688i \(0.380790\pi\)
\(594\) −0.409339 1.79343i −0.0167954 0.0735854i
\(595\) 10.1668 19.4894i 0.416800 0.798988i
\(596\) 3.93343 17.2335i 0.161120 0.705911i
\(597\) −3.10524 41.4366i −0.127089 1.69589i
\(598\) 11.8896 + 3.66744i 0.486200 + 0.149973i
\(599\) 3.30358 44.0832i 0.134981 1.80119i −0.360696 0.932683i \(-0.617461\pi\)
0.495677 0.868507i \(-0.334920\pi\)
\(600\) 8.74696 22.2869i 0.357093 0.909859i
\(601\) −31.5667 + 15.2017i −1.28763 + 0.620092i −0.947341 0.320228i \(-0.896241\pi\)
−0.340293 + 0.940319i \(0.610526\pi\)
\(602\) −12.6620 46.2593i −0.516064 1.88539i
\(603\) 21.5597 + 10.3826i 0.877980 + 0.422813i
\(604\) −18.4368 + 17.1068i −0.750181 + 0.696067i
\(605\) 74.2931 11.1979i 3.02045 0.455259i
\(606\) 22.8965 39.6579i 0.930106 1.61099i
\(607\) −13.1322 22.7457i −0.533020 0.923217i −0.999256 0.0385574i \(-0.987724\pi\)
0.466237 0.884660i \(-0.345610\pi\)
\(608\) −19.7451 24.7596i −0.800769 1.00413i
\(609\) −15.9135 25.0266i −0.644846 1.01413i
\(610\) 19.9202 24.9791i 0.806544 1.01137i
\(611\) −4.72369 0.711981i −0.191100 0.0288037i
\(612\) −7.45109 + 5.08006i −0.301192 + 0.205349i
\(613\) −26.0376 + 17.7521i −1.05165 + 0.717001i −0.960343 0.278822i \(-0.910056\pi\)
−0.0913048 + 0.995823i \(0.529104\pi\)
\(614\) 20.6873 + 3.11811i 0.834873 + 0.125837i
\(615\) −31.0935 + 38.9901i −1.25381 + 1.57223i
\(616\) −19.9342 + 7.09575i −0.803172 + 0.285896i
\(617\) 6.34971 + 7.96229i 0.255630 + 0.320550i 0.893042 0.449973i \(-0.148567\pi\)
−0.637412 + 0.770523i \(0.719995\pi\)
\(618\) −11.8767 20.5711i −0.477751 0.827489i
\(619\) −1.43080 + 2.47823i −0.0575089 + 0.0996083i −0.893347 0.449368i \(-0.851649\pi\)
0.835838 + 0.548977i \(0.184982\pi\)
\(620\) 23.7996 3.58721i 0.955815 0.144066i
\(621\) −0.910415 + 0.844741i −0.0365337 + 0.0338983i
\(622\) 53.5917 + 25.8084i 2.14883 + 1.03482i
\(623\) 15.3201 + 17.6100i 0.613788 + 0.705530i
\(624\) 10.9926 5.29377i 0.440057 0.211920i
\(625\) −4.18089 + 10.6527i −0.167235 + 0.426109i
\(626\) −0.647170 + 8.63589i −0.0258661 + 0.345159i
\(627\) 70.0554 + 21.6092i 2.79774 + 0.862990i
\(628\) 1.27472 + 17.0100i 0.0508670 + 0.678773i
\(629\) −5.18962 + 22.7372i −0.206924 + 0.906592i
\(630\) 20.4183 + 46.1214i 0.813484 + 1.83752i
\(631\) 3.75039 + 16.4315i 0.149301 + 0.654129i 0.993080 + 0.117439i \(0.0374684\pi\)
−0.843780 + 0.536690i \(0.819674\pi\)
\(632\) −1.78253 + 0.549838i −0.0709053 + 0.0218714i
\(633\) 2.43508 + 6.20448i 0.0967857 + 0.246606i
\(634\) 36.9074 + 34.2450i 1.46578 + 1.36004i
\(635\) −2.64490 1.80326i −0.104960 0.0715603i
\(636\) −0.565752 −0.0224335
\(637\) −1.11763 6.91020i −0.0442822 0.273792i
\(638\) −46.7088 −1.84922
\(639\) 21.1312 + 14.4070i 0.835937 + 0.569932i
\(640\) 26.1895 + 24.3003i 1.03523 + 0.960555i
\(641\) 4.08664 + 10.4126i 0.161413 + 0.411273i 0.988583 0.150679i \(-0.0481459\pi\)
−0.827170 + 0.561952i \(0.810051\pi\)
\(642\) 40.7888 12.5817i 1.60981 0.496559i
\(643\) −2.54916 11.1686i −0.100529 0.440446i −0.999994 0.00345342i \(-0.998901\pi\)
0.899465 0.436993i \(-0.143956\pi\)
\(644\) −17.0556 14.5187i −0.672083 0.572117i
\(645\) 19.1463 83.8856i 0.753887 3.30299i
\(646\) −1.67615 22.3667i −0.0659474 0.880007i
\(647\) −17.0859 5.27029i −0.671715 0.207197i −0.0599081 0.998204i \(-0.519081\pi\)
−0.611807 + 0.791007i \(0.709557\pi\)
\(648\) 0.916812 12.2340i 0.0360158 0.480597i
\(649\) −16.2872 + 41.4990i −0.639327 + 1.62898i
\(650\) 11.2390 5.41240i 0.440829 0.212292i
\(651\) 21.9129 30.0274i 0.858835 1.17686i
\(652\) 10.5912 + 5.10047i 0.414785 + 0.199750i
\(653\) 11.8877 11.0302i 0.465201 0.431643i −0.412424 0.910992i \(-0.635318\pi\)
0.877624 + 0.479349i \(0.159127\pi\)
\(654\) 70.0232 10.5543i 2.73812 0.412706i
\(655\) 11.2211 19.4355i 0.438445 0.759408i
\(656\) −14.4920 25.1009i −0.565819 0.980027i
\(657\) 22.1343 + 27.7555i 0.863542 + 1.08285i
\(658\) 19.2714 + 11.9651i 0.751278 + 0.466447i
\(659\) 23.2186 29.1152i 0.904469 1.13417i −0.0859814 0.996297i \(-0.527403\pi\)
0.990450 0.137871i \(-0.0440260\pi\)
\(660\) 58.8536 + 8.87075i 2.29087 + 0.345293i
\(661\) 19.2862 13.1491i 0.750148 0.511442i −0.126859 0.991921i \(-0.540489\pi\)
0.877006 + 0.480479i \(0.159537\pi\)
\(662\) 17.8110 12.1433i 0.692242 0.471963i
\(663\) 5.85648 + 0.882722i 0.227447 + 0.0342821i
\(664\) 1.41905 1.77944i 0.0550700 0.0690556i
\(665\) −47.2875 5.07082i −1.83373 0.196638i
\(666\) −33.3653 41.8388i −1.29288 1.62122i
\(667\) 15.7674 + 27.3100i 0.610517 + 1.05745i
\(668\) −9.66595 + 16.7419i −0.373987 + 0.647764i
\(669\) −23.5145 + 3.54425i −0.909125 + 0.137028i
\(670\) −35.4198 + 32.8648i −1.36839 + 1.26968i
\(671\) −26.5445 12.7831i −1.02474 0.493488i
\(672\) −39.6719 + 1.69796i −1.53038 + 0.0655004i
\(673\) 2.87561 1.38482i 0.110847 0.0533809i −0.377639 0.925953i \(-0.623264\pi\)
0.488485 + 0.872572i \(0.337550\pi\)
\(674\) −8.02212 + 20.4400i −0.309001 + 0.787321i
\(675\) −0.0930497 + 1.24166i −0.00358148 + 0.0477916i
\(676\) 1.16690 + 0.359942i 0.0448808 + 0.0138439i
\(677\) −1.67397 22.3376i −0.0643358 0.858502i −0.932256 0.361799i \(-0.882163\pi\)
0.867920 0.496703i \(-0.165456\pi\)
\(678\) 12.8144 56.1435i 0.492133 2.15618i
\(679\) 2.72738 2.03563i 0.104667 0.0781202i
\(680\) 2.58430 + 11.3226i 0.0991035 + 0.434201i
\(681\) 16.0033 4.93638i 0.613249 0.189162i
\(682\) −21.3889 54.4979i −0.819022 2.08683i
\(683\) 4.62718 + 4.29339i 0.177054 + 0.164282i 0.763722 0.645546i \(-0.223370\pi\)
−0.586668 + 0.809828i \(0.699561\pi\)
\(684\) 16.1207 + 10.9909i 0.616392 + 0.420249i
\(685\) −38.3897 −1.46680
\(686\) −8.08425 + 32.2413i −0.308658 + 1.23098i
\(687\) −15.5246 −0.592300
\(688\) 41.3180 + 28.1701i 1.57523 + 1.07398i
\(689\) 0.137816 + 0.127875i 0.00525037 + 0.00487163i
\(690\) −38.7242 98.6677i −1.47421 3.75621i
\(691\) −3.72712 + 1.14966i −0.141786 + 0.0437353i −0.364836 0.931072i \(-0.618875\pi\)
0.223050 + 0.974807i \(0.428399\pi\)
\(692\) −1.32299 5.79641i −0.0502927 0.220347i
\(693\) 37.2746 27.8206i 1.41595 1.05682i
\(694\) −2.18477 + 9.57210i −0.0829327 + 0.363352i
\(695\) −4.06752 54.2773i −0.154290 2.05886i
\(696\) 14.9729 + 4.61853i 0.567547 + 0.175065i
\(697\) 1.05142 14.0303i 0.0398255 0.531435i
\(698\) −15.8806 + 40.4631i −0.601089 + 1.53155i
\(699\) 1.05670 0.508881i 0.0399681 0.0192476i
\(700\) −22.4354 + 0.960237i −0.847977 + 0.0362936i
\(701\) −12.6451 6.08957i −0.477600 0.230000i 0.179566 0.983746i \(-0.442531\pi\)
−0.657166 + 0.753746i \(0.728245\pi\)
\(702\) −0.235694 + 0.218692i −0.00889571 + 0.00825401i
\(703\) 49.8944 7.52037i 1.88180 0.283636i
\(704\) −2.94214 + 5.09594i −0.110886 + 0.192061i
\(705\) 20.3475 + 35.2429i 0.766332 + 1.32733i
\(706\) −22.4143 28.1067i −0.843574 1.05781i
\(707\) 27.2376 + 2.92079i 1.02437 + 0.109848i
\(708\) −14.6197 + 18.3326i −0.549443 + 0.688980i
\(709\) −33.1484 4.99632i −1.24492 0.187641i −0.506651 0.862151i \(-0.669117\pi\)
−0.738265 + 0.674510i \(0.764355\pi\)
\(710\) −42.6679 + 29.0905i −1.60130 + 1.09175i
\(711\) 3.38799 2.30989i 0.127059 0.0866276i
\(712\) −12.1943 1.83799i −0.457000 0.0688816i
\(713\) −24.6440 + 30.9026i −0.922924 + 1.15731i
\(714\) −23.8929 14.8344i −0.894170 0.555164i
\(715\) −12.3316 15.4633i −0.461175 0.578295i
\(716\) −5.18530 8.98121i −0.193784 0.335644i
\(717\) −2.77427 + 4.80518i −0.103607 + 0.179453i
\(718\) 15.3451 2.31291i 0.572675 0.0863169i
\(719\) 23.6103 21.9071i 0.880514 0.816998i −0.103584 0.994621i \(-0.533031\pi\)
0.984099 + 0.177623i \(0.0568407\pi\)
\(720\) −47.3829 22.8184i −1.76586 0.850392i
\(721\) 8.37632 11.4781i 0.311950 0.427467i
\(722\) −12.9980 + 6.25949i −0.483734 + 0.232954i
\(723\) −4.37305 + 11.1424i −0.162636 + 0.414389i
\(724\) 0.947531 12.6439i 0.0352147 0.469908i
\(725\) 30.2113 + 9.31895i 1.12202 + 0.346097i
\(726\) −7.18335 95.8552i −0.266599 3.55752i
\(727\) 5.93208 25.9901i 0.220009 0.963921i −0.737461 0.675389i \(-0.763976\pi\)
0.957470 0.288532i \(-0.0931672\pi\)
\(728\) 2.81616 + 2.39728i 0.104374 + 0.0888490i
\(729\) 6.29563 + 27.5830i 0.233172 + 1.02159i
\(730\) −68.4980 + 21.1288i −2.53522 + 0.782013i
\(731\) 8.86860 + 22.5968i 0.328017 + 0.835773i
\(732\) −11.3596 10.5402i −0.419862 0.389575i
\(733\) 6.65225 + 4.53543i 0.245707 + 0.167520i 0.679911 0.733294i \(-0.262018\pi\)
−0.434205 + 0.900814i \(0.642971\pi\)
\(734\) 11.5028 0.424577
\(735\) −40.0880 + 44.1469i −1.47867 + 1.62838i
\(736\) 42.2218 1.55632
\(737\) 36.8144 + 25.0996i 1.35608 + 0.924556i
\(738\) 23.6657 + 21.9585i 0.871145 + 0.808305i
\(739\) −0.160907 0.409984i −0.00591905 0.0150815i 0.927884 0.372870i \(-0.121626\pi\)
−0.933803 + 0.357788i \(0.883531\pi\)
\(740\) 39.1441 12.0744i 1.43897 0.443862i
\(741\) −2.85135 12.4926i −0.104747 0.458927i
\(742\) −0.361387 0.816311i −0.0132669 0.0299677i
\(743\) −2.71928 + 11.9139i −0.0997607 + 0.437080i 0.900238 + 0.435398i \(0.143393\pi\)
−0.999999 + 0.00168188i \(0.999465\pi\)
\(744\) 1.46767 + 19.5847i 0.0538075 + 0.718011i
\(745\) 47.8174 + 14.7497i 1.75189 + 0.540387i
\(746\) −3.23612 + 43.1830i −0.118483 + 1.58104i
\(747\) −1.82781 + 4.65718i −0.0668760 + 0.170397i
\(748\) −15.1287 + 7.28561i −0.553161 + 0.266388i
\(749\) 16.7597 + 19.2647i 0.612386 + 0.703918i
\(750\) −26.8674 12.9386i −0.981058 0.472453i
\(751\) 15.9539 14.8030i 0.582165 0.540171i −0.333168 0.942867i \(-0.608118\pi\)
0.915333 + 0.402697i \(0.131927\pi\)
\(752\) −23.3874 + 3.52508i −0.852851 + 0.128547i
\(753\) −23.0258 + 39.8818i −0.839106 + 1.45337i
\(754\) 4.08198 + 7.07019i 0.148657 + 0.257481i
\(755\) −44.3916 55.6653i −1.61557 2.02587i
\(756\) 0.545284 0.194099i 0.0198318 0.00705930i
\(757\) −21.2272 + 26.6180i −0.771514 + 0.967448i −0.999981 0.00610351i \(-0.998057\pi\)
0.228467 + 0.973552i \(0.426629\pi\)
\(758\) 19.1737 + 2.88997i 0.696421 + 0.104969i
\(759\) −80.7589 + 55.0605i −2.93136 + 1.99857i
\(760\) 20.7608 14.1544i 0.753072 0.513436i
\(761\) −22.5085 3.39261i −0.815933 0.122982i −0.272200 0.962241i \(-0.587751\pi\)
−0.543732 + 0.839259i \(0.682989\pi\)
\(762\) −2.55351 + 3.20200i −0.0925040 + 0.115996i
\(763\) 22.7302 + 35.7470i 0.822888 + 1.29413i
\(764\) 4.83155 + 6.05858i 0.174799 + 0.219192i
\(765\) −12.7645 22.1088i −0.461503 0.799346i
\(766\) 2.74661 4.75726i 0.0992389 0.171887i
\(767\) 7.70497 1.16134i 0.278210 0.0419335i
\(768\) 37.2226 34.5375i 1.34315 1.24626i
\(769\) 26.5103 + 12.7667i 0.955986 + 0.460379i 0.845781 0.533530i \(-0.179135\pi\)
0.110205 + 0.993909i \(0.464849\pi\)
\(770\) 24.7947 + 90.5849i 0.893539 + 3.26445i
\(771\) 52.9847 25.5161i 1.90820 0.918940i
\(772\) −2.34896 + 5.98505i −0.0845409 + 0.215407i
\(773\) −1.27758 + 17.0482i −0.0459515 + 0.613181i 0.925928 + 0.377701i \(0.123285\pi\)
−0.971879 + 0.235480i