Properties

Label 770.2.bv.a.157.21
Level $770$
Weight $2$
Character 770.157
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 157.21
Character \(\chi\) \(=\) 770.157
Dual form 770.2.bv.a.103.21

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.358368 - 0.933580i) q^{2} +(1.40223 + 2.15925i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(-2.15617 - 0.592387i) q^{5} +(1.51332 - 2.08290i) q^{6} +(-1.14925 - 2.38311i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-1.47589 + 3.31491i) q^{9} +O(q^{10})\) \(q+(-0.358368 - 0.933580i) q^{2} +(1.40223 + 2.15925i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(-2.15617 - 0.592387i) q^{5} +(1.51332 - 2.08290i) q^{6} +(-1.14925 - 2.38311i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-1.47589 + 3.31491i) q^{9} +(0.219662 + 2.22525i) q^{10} +(2.94289 - 1.52951i) q^{11} +(-2.48688 - 0.666358i) q^{12} +(-5.30666 - 0.840493i) q^{13} +(-1.81298 + 1.92695i) q^{14} +(-1.74435 - 5.48638i) q^{15} +(0.104528 - 0.994522i) q^{16} +(2.19420 - 5.71608i) q^{17} +(3.62365 + 0.189907i) q^{18} +(3.44028 - 3.82082i) q^{19} +(1.99873 - 1.00253i) q^{20} +(3.53423 - 5.82319i) q^{21} +(-2.48256 - 2.19930i) q^{22} +(0.00828083 + 0.00221884i) q^{23} +(0.269120 + 2.56051i) q^{24} +(4.29816 + 2.55458i) q^{25} +(1.11707 + 5.25540i) q^{26} +(-1.59853 + 0.253183i) q^{27} +(2.44867 + 1.00200i) q^{28} +(-2.01379 - 0.654319i) q^{29} +(-4.49686 + 3.59463i) q^{30} +(6.30853 - 0.663054i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(7.42921 + 4.20971i) q^{33} -6.12275 q^{34} +(1.06625 + 5.81920i) q^{35} +(-1.12131 - 3.45103i) q^{36} +(-5.74217 - 3.72901i) q^{37} +(-4.79993 - 1.84252i) q^{38} +(-5.62635 - 12.6370i) q^{39} +(-1.65223 - 1.50670i) q^{40} +(-8.17581 + 2.65648i) q^{41} +(-6.70297 - 1.21264i) q^{42} +(5.91891 - 5.91891i) q^{43} +(-1.16355 + 3.10582i) q^{44} +(5.14599 - 6.27322i) q^{45} +(-0.000896117 - 0.00852599i) q^{46} +(0.115345 + 2.20090i) q^{47} +(2.29400 - 1.16885i) q^{48} +(-4.35846 + 5.47757i) q^{49} +(0.844580 - 4.92815i) q^{50} +(15.4192 - 3.27746i) q^{51} +(4.50602 - 2.92624i) q^{52} +(2.59023 + 2.09753i) q^{53} +(0.809230 + 1.40163i) q^{54} +(-7.25144 + 1.55456i) q^{55} +(0.0579247 - 2.64512i) q^{56} +(13.0742 + 2.07075i) q^{57} +(0.110817 + 2.11452i) q^{58} +(0.731127 + 0.811999i) q^{59} +(4.96741 + 2.90998i) q^{60} +(1.83632 + 0.193005i) q^{61} +(-2.87979 - 5.65191i) q^{62} +(9.59598 - 0.292428i) q^{63} +(0.587785 + 0.809017i) q^{64} +(10.9442 + 4.95585i) q^{65} +(1.26771 - 8.44439i) q^{66} +(-0.771891 + 0.206828i) q^{67} +(2.19420 + 5.71608i) q^{68} +(0.00682063 + 0.0209917i) q^{69} +(5.05058 - 3.08084i) q^{70} +(-4.54961 - 3.30549i) q^{71} +(-2.81997 + 2.28357i) q^{72} +(0.777884 - 14.8429i) q^{73} +(-1.42352 + 6.69714i) q^{74} +(0.511051 + 12.8629i) q^{75} +5.14142i q^{76} +(-7.02710 - 5.25546i) q^{77} +(-9.78134 + 9.78134i) q^{78} +(2.01939 - 4.53563i) q^{79} +(-0.814523 + 2.08244i) q^{80} +(4.49586 + 4.99316i) q^{81} +(5.40999 + 6.68078i) q^{82} +(-1.85582 - 11.7172i) q^{83} +(1.27003 + 6.69234i) q^{84} +(-8.11720 + 11.0250i) q^{85} +(-7.64692 - 3.40463i) q^{86} +(-1.41096 - 5.26578i) q^{87} +(3.31652 - 0.0267596i) q^{88} +(-4.35615 - 7.54508i) q^{89} +(-7.70071 - 2.55608i) q^{90} +(4.09568 + 13.6123i) q^{91} +(-0.00763855 + 0.00389204i) q^{92} +(10.2777 + 12.6919i) q^{93} +(2.01339 - 0.896417i) q^{94} +(-9.68124 + 6.20037i) q^{95} +(-1.91331 - 1.72275i) q^{96} +(-0.972990 + 6.14321i) q^{97} +(6.67569 + 2.10599i) q^{98} +(0.726799 + 12.0128i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.358368 0.933580i −0.253404 0.660141i
\(3\) 1.40223 + 2.15925i 0.809580 + 1.24664i 0.965894 + 0.258937i \(0.0833721\pi\)
−0.156314 + 0.987707i \(0.549961\pi\)
\(4\) −0.743145 + 0.669131i −0.371572 + 0.334565i
\(5\) −2.15617 0.592387i −0.964269 0.264923i
\(6\) 1.51332 2.08290i 0.617810 0.850342i
\(7\) −1.14925 2.38311i −0.434374 0.900732i
\(8\) 0.891007 + 0.453990i 0.315018 + 0.160510i
\(9\) −1.47589 + 3.31491i −0.491965 + 1.10497i
\(10\) 0.219662 + 2.22525i 0.0694633 + 0.703687i
\(11\) 2.94289 1.52951i 0.887315 0.461165i
\(12\) −2.48688 0.666358i −0.717901 0.192361i
\(13\) −5.30666 0.840493i −1.47180 0.233111i −0.631563 0.775324i \(-0.717586\pi\)
−0.840241 + 0.542214i \(0.817586\pi\)
\(14\) −1.81298 + 1.92695i −0.484538 + 0.514998i
\(15\) −1.74435 5.48638i −0.450388 1.41658i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) 2.19420 5.71608i 0.532171 1.38635i −0.359277 0.933231i \(-0.616977\pi\)
0.891448 0.453123i \(-0.149690\pi\)
\(18\) 3.62365 + 0.189907i 0.854102 + 0.0447616i
\(19\) 3.44028 3.82082i 0.789255 0.876556i −0.205520 0.978653i \(-0.565888\pi\)
0.994774 + 0.102097i \(0.0325551\pi\)
\(20\) 1.99873 1.00253i 0.446930 0.224173i
\(21\) 3.53423 5.82319i 0.771232 1.27073i
\(22\) −2.48256 2.19930i −0.529283 0.468892i
\(23\) 0.00828083 + 0.00221884i 0.00172667 + 0.000462661i 0.259682 0.965694i \(-0.416382\pi\)
−0.257956 + 0.966157i \(0.583049\pi\)
\(24\) 0.269120 + 2.56051i 0.0549339 + 0.522661i
\(25\) 4.29816 + 2.55458i 0.859631 + 0.510915i
\(26\) 1.11707 + 5.25540i 0.219076 + 1.03067i
\(27\) −1.59853 + 0.253183i −0.307638 + 0.0487251i
\(28\) 2.44867 + 1.00200i 0.462755 + 0.189361i
\(29\) −2.01379 0.654319i −0.373951 0.121504i 0.116011 0.993248i \(-0.462989\pi\)
−0.489962 + 0.871744i \(0.662989\pi\)
\(30\) −4.49686 + 3.59463i −0.821011 + 0.656287i
\(31\) 6.30853 0.663054i 1.13305 0.119088i 0.480612 0.876933i \(-0.340415\pi\)
0.652434 + 0.757845i \(0.273748\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 7.42921 + 4.20971i 1.29326 + 0.732816i
\(34\) −6.12275 −1.05004
\(35\) 1.06625 + 5.81920i 0.180229 + 0.983625i
\(36\) −1.12131 3.45103i −0.186884 0.575171i
\(37\) −5.74217 3.72901i −0.944007 0.613045i −0.0218085 0.999762i \(-0.506942\pi\)
−0.922199 + 0.386717i \(0.873609\pi\)
\(38\) −4.79993 1.84252i −0.778651 0.298896i
\(39\) −5.62635 12.6370i −0.900937 2.02354i
\(40\) −1.65223 1.50670i −0.261240 0.238231i
\(41\) −8.17581 + 2.65648i −1.27685 + 0.414873i −0.867468 0.497492i \(-0.834254\pi\)
−0.409378 + 0.912365i \(0.634254\pi\)
\(42\) −6.70297 1.21264i −1.03429 0.187114i
\(43\) 5.91891 5.91891i 0.902625 0.902625i −0.0930379 0.995663i \(-0.529658\pi\)
0.995663 + 0.0930379i \(0.0296578\pi\)
\(44\) −1.16355 + 3.10582i −0.175412 + 0.468221i
\(45\) 5.14599 6.27322i 0.767119 0.935157i
\(46\) −0.000896117 0.00852599i −0.000132125 0.00125709i
\(47\) 0.115345 + 2.20090i 0.0168247 + 0.321035i 0.994057 + 0.108862i \(0.0347207\pi\)
−0.977232 + 0.212173i \(0.931946\pi\)
\(48\) 2.29400 1.16885i 0.331110 0.168709i
\(49\) −4.35846 + 5.47757i −0.622638 + 0.782510i
\(50\) 0.844580 4.92815i 0.119442 0.696946i
\(51\) 15.4192 3.27746i 2.15912 0.458936i
\(52\) 4.50602 2.92624i 0.624873 0.405797i
\(53\) 2.59023 + 2.09753i 0.355796 + 0.288118i 0.790508 0.612452i \(-0.209817\pi\)
−0.434712 + 0.900569i \(0.643150\pi\)
\(54\) 0.809230 + 1.40163i 0.110122 + 0.190737i
\(55\) −7.25144 + 1.55456i −0.977784 + 0.209617i
\(56\) 0.0579247 2.64512i 0.00774052 0.353469i
\(57\) 13.0742 + 2.07075i 1.73172 + 0.274277i
\(58\) 0.110817 + 2.11452i 0.0145510 + 0.277650i
\(59\) 0.731127 + 0.811999i 0.0951846 + 0.105713i 0.788855 0.614579i \(-0.210674\pi\)
−0.693670 + 0.720293i \(0.744008\pi\)
\(60\) 4.96741 + 2.90998i 0.641289 + 0.375677i
\(61\) 1.83632 + 0.193005i 0.235117 + 0.0247118i 0.221354 0.975193i \(-0.428952\pi\)
0.0137630 + 0.999905i \(0.495619\pi\)
\(62\) −2.87979 5.65191i −0.365734 0.717793i
\(63\) 9.59598 0.292428i 1.20898 0.0368425i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) 10.9442 + 4.95585i 1.35746 + 0.614697i
\(66\) 1.26771 8.44439i 0.156044 1.03943i
\(67\) −0.771891 + 0.206828i −0.0943015 + 0.0252680i −0.305661 0.952140i \(-0.598878\pi\)
0.211360 + 0.977408i \(0.432211\pi\)
\(68\) 2.19420 + 5.71608i 0.266086 + 0.693177i
\(69\) 0.00682063 + 0.0209917i 0.000821107 + 0.00252711i
\(70\) 5.05058 3.08084i 0.603660 0.368231i
\(71\) −4.54961 3.30549i −0.539940 0.392289i 0.284123 0.958788i \(-0.408298\pi\)
−0.824063 + 0.566499i \(0.808298\pi\)
\(72\) −2.81997 + 2.28357i −0.332337 + 0.269121i
\(73\) 0.777884 14.8429i 0.0910444 1.73723i −0.447193 0.894437i \(-0.647576\pi\)
0.538237 0.842793i \(-0.319090\pi\)
\(74\) −1.42352 + 6.69714i −0.165481 + 0.778526i
\(75\) 0.511051 + 12.8629i 0.0590110 + 1.48528i
\(76\) 5.14142i 0.589761i
\(77\) −7.02710 5.25546i −0.800813 0.598915i
\(78\) −9.78134 + 9.78134i −1.10752 + 1.10752i
\(79\) 2.01939 4.53563i 0.227199 0.510298i −0.763592 0.645700i \(-0.776566\pi\)
0.990791 + 0.135402i \(0.0432325\pi\)
\(80\) −0.814523 + 2.08244i −0.0910664 + 0.232824i
\(81\) 4.49586 + 4.99316i 0.499541 + 0.554796i
\(82\) 5.40999 + 6.68078i 0.597433 + 0.737768i
\(83\) −1.85582 11.7172i −0.203702 1.28613i −0.851517 0.524327i \(-0.824317\pi\)
0.647815 0.761798i \(-0.275683\pi\)
\(84\) 1.27003 + 6.69234i 0.138572 + 0.730194i
\(85\) −8.11720 + 11.0250i −0.880434 + 1.19583i
\(86\) −7.64692 3.40463i −0.824589 0.367131i
\(87\) −1.41096 5.26578i −0.151271 0.564550i
\(88\) 3.31652 0.0267596i 0.353542 0.00285259i
\(89\) −4.35615 7.54508i −0.461751 0.799777i 0.537297 0.843393i \(-0.319445\pi\)
−0.999048 + 0.0436164i \(0.986112\pi\)
\(90\) −7.70071 2.55608i −0.811727 0.269434i
\(91\) 4.09568 + 13.6123i 0.429344 + 1.42696i
\(92\) −0.00763855 + 0.00389204i −0.000796374 + 0.000405773i
\(93\) 10.2777 + 12.6919i 1.06575 + 1.31609i
\(94\) 2.01339 0.896417i 0.207665 0.0924584i
\(95\) −9.68124 + 6.20037i −0.993275 + 0.636144i
\(96\) −1.91331 1.72275i −0.195276 0.175828i
\(97\) −0.972990 + 6.14321i −0.0987921 + 0.623749i 0.887761 + 0.460306i \(0.152260\pi\)
−0.986553 + 0.163443i \(0.947740\pi\)
\(98\) 6.67569 + 2.10599i 0.674346 + 0.212737i
\(99\) 0.726799 + 12.0128i 0.0730460 + 1.20733i
\(100\) −4.90350 + 0.977608i −0.490350 + 0.0977608i
\(101\) −7.92590 + 0.833046i −0.788657 + 0.0828912i −0.490289 0.871560i \(-0.663109\pi\)
−0.298368 + 0.954451i \(0.596442\pi\)
\(102\) −8.58553 13.2206i −0.850094 1.30903i
\(103\) −8.40646 5.45922i −0.828313 0.537913i 0.0594404 0.998232i \(-0.481068\pi\)
−0.887754 + 0.460319i \(0.847735\pi\)
\(104\) −4.34670 3.15806i −0.426229 0.309673i
\(105\) −11.0700 + 10.4622i −1.08032 + 1.02100i
\(106\) 1.02995 3.16988i 0.100038 0.307886i
\(107\) −13.0489 + 0.683866i −1.26149 + 0.0661118i −0.671319 0.741168i \(-0.734272\pi\)
−0.590169 + 0.807280i \(0.700939\pi\)
\(108\) 1.01853 1.25778i 0.0980081 0.121030i
\(109\) 12.7831 + 7.38033i 1.22440 + 0.706907i 0.965853 0.259092i \(-0.0834233\pi\)
0.258546 + 0.965999i \(0.416757\pi\)
\(110\) 4.04999 + 6.21270i 0.386151 + 0.592357i
\(111\) 17.6277i 1.67315i
\(112\) −2.49019 + 0.893848i −0.235301 + 0.0844607i
\(113\) −6.04890 3.08207i −0.569033 0.289937i 0.145706 0.989328i \(-0.453455\pi\)
−0.714739 + 0.699391i \(0.753455\pi\)
\(114\) −2.75216 12.9479i −0.257763 1.21268i
\(115\) −0.0165405 0.00968966i −0.00154241 0.000903566i
\(116\) 1.93436 0.861232i 0.179601 0.0799634i
\(117\) 10.6182 16.3506i 0.981656 1.51162i
\(118\) 0.496054 0.973560i 0.0456654 0.0896235i
\(119\) −16.1438 + 1.34016i −1.47990 + 0.122853i
\(120\) 0.936541 5.68032i 0.0854941 0.518540i
\(121\) 6.32120 9.00236i 0.574654 0.818396i
\(122\) −0.477894 1.78352i −0.0432664 0.161473i
\(123\) −17.2004 13.9286i −1.55091 1.25590i
\(124\) −4.24448 + 4.71398i −0.381166 + 0.423328i
\(125\) −7.75427 8.05427i −0.693563 0.720396i
\(126\) −3.71190 8.85382i −0.330682 0.788761i
\(127\) 3.06499 + 19.3516i 0.271974 + 1.71717i 0.624205 + 0.781261i \(0.285423\pi\)
−0.352231 + 0.935913i \(0.614577\pi\)
\(128\) 0.544639 0.838671i 0.0481397 0.0741287i
\(129\) 21.0801 + 4.48071i 1.85600 + 0.394505i
\(130\) 0.704635 11.9933i 0.0618006 1.05188i
\(131\) −13.5585 + 7.82802i −1.18461 + 0.683937i −0.957077 0.289833i \(-0.906400\pi\)
−0.227536 + 0.973770i \(0.573067\pi\)
\(132\) −8.33783 + 1.84269i −0.725715 + 0.160386i
\(133\) −13.0592 3.80752i −1.13237 0.330154i
\(134\) 0.469711 + 0.646502i 0.0405769 + 0.0558493i
\(135\) 3.59670 + 0.401044i 0.309554 + 0.0345164i
\(136\) 4.55009 4.09692i 0.390167 0.351308i
\(137\) 14.2477 + 5.46916i 1.21726 + 0.467262i 0.880372 0.474283i \(-0.157293\pi\)
0.336887 + 0.941545i \(0.390626\pi\)
\(138\) 0.0171532 0.0138904i 0.00146018 0.00118243i
\(139\) −3.54628 + 10.9143i −0.300792 + 0.925741i 0.680423 + 0.732820i \(0.261796\pi\)
−0.981214 + 0.192921i \(0.938204\pi\)
\(140\) −4.68618 3.61105i −0.396055 0.305189i
\(141\) −4.59057 + 3.33524i −0.386595 + 0.280878i
\(142\) −1.45550 + 5.43201i −0.122143 + 0.455844i
\(143\) −16.9025 + 5.64312i −1.41346 + 0.471901i
\(144\) 3.14248 + 1.81431i 0.261873 + 0.151193i
\(145\) 3.95446 + 2.60376i 0.328400 + 0.216231i
\(146\) −14.1358 + 4.59300i −1.16989 + 0.380120i
\(147\) −17.9390 1.73018i −1.47959 0.142703i
\(148\) 6.76246 1.07107i 0.555871 0.0880413i
\(149\) 12.7321 + 1.33819i 1.04305 + 0.109629i 0.610529 0.791994i \(-0.290957\pi\)
0.432523 + 0.901623i \(0.357624\pi\)
\(150\) 11.8254 5.08676i 0.965541 0.415332i
\(151\) 12.9659 + 2.75598i 1.05515 + 0.224279i 0.702652 0.711534i \(-0.251999\pi\)
0.352497 + 0.935813i \(0.385333\pi\)
\(152\) 4.79993 1.84252i 0.389326 0.149448i
\(153\) 15.7099 + 15.7099i 1.27007 + 1.27007i
\(154\) −2.38810 + 8.44375i −0.192439 + 0.680417i
\(155\) −13.9951 2.30743i −1.12411 0.185338i
\(156\) 12.6370 + 5.62635i 1.01177 + 0.450468i
\(157\) −5.21225 + 3.38488i −0.415983 + 0.270143i −0.735616 0.677399i \(-0.763107\pi\)
0.319633 + 0.947541i \(0.396440\pi\)
\(158\) −4.95806 0.259841i −0.394442 0.0206718i
\(159\) −0.896979 + 8.53418i −0.0711350 + 0.676805i
\(160\) 2.23602 + 0.0141433i 0.176773 + 0.00111812i
\(161\) −0.00422897 0.0222842i −0.000333289 0.00175624i
\(162\) 3.05035 5.98664i 0.239658 0.470355i
\(163\) 5.82049 2.23427i 0.455896 0.175002i −0.119574 0.992825i \(-0.538153\pi\)
0.575469 + 0.817823i \(0.304819\pi\)
\(164\) 4.29828 7.44483i 0.335639 0.581344i
\(165\) −13.5249 13.4778i −1.05291 1.04925i
\(166\) −10.2738 + 5.93161i −0.797405 + 0.460382i
\(167\) −0.642649 + 4.05753i −0.0497297 + 0.313981i 0.950267 + 0.311436i \(0.100810\pi\)
−0.999997 + 0.00254474i \(0.999190\pi\)
\(168\) 5.79269 3.58400i 0.446916 0.276511i
\(169\) 15.0905 + 4.90321i 1.16081 + 0.377170i
\(170\) 13.2017 + 3.62704i 1.01252 + 0.278181i
\(171\) 7.58819 + 17.0434i 0.580284 + 1.30334i
\(172\) −0.438083 + 8.35912i −0.0334035 + 0.637377i
\(173\) −6.83990 + 0.358464i −0.520028 + 0.0272535i −0.310545 0.950559i \(-0.600511\pi\)
−0.209483 + 0.977812i \(0.567178\pi\)
\(174\) −4.41038 + 3.20433i −0.334350 + 0.242920i
\(175\) 1.14820 13.1788i 0.0867960 0.996226i
\(176\) −1.21352 3.08665i −0.0914722 0.232665i
\(177\) −0.728098 + 2.71730i −0.0547272 + 0.204245i
\(178\) −5.48283 + 6.77073i −0.410956 + 0.507488i
\(179\) −3.59714 + 16.9232i −0.268863 + 1.26490i 0.611746 + 0.791054i \(0.290468\pi\)
−0.880608 + 0.473845i \(0.842866\pi\)
\(180\) 0.373387 + 8.10525i 0.0278306 + 0.604130i
\(181\) 6.62999 9.12540i 0.492803 0.678286i −0.488099 0.872788i \(-0.662309\pi\)
0.980902 + 0.194503i \(0.0623094\pi\)
\(182\) 11.2404 8.70186i 0.833197 0.645025i
\(183\) 2.15821 + 4.23572i 0.159539 + 0.313114i
\(184\) 0.00637094 + 0.00573642i 0.000469672 + 0.000422895i
\(185\) 10.1721 + 11.4420i 0.747867 + 0.841230i
\(186\) 8.16574 14.1435i 0.598741 1.03705i
\(187\) −2.28552 20.1778i −0.167134 1.47555i
\(188\) −1.55841 1.55841i −0.113659 0.113659i
\(189\) 2.44047 + 3.51852i 0.177518 + 0.255935i
\(190\) 9.25799 + 6.81621i 0.671645 + 0.494500i
\(191\) 20.7511 4.41078i 1.50150 0.319153i 0.617471 0.786594i \(-0.288157\pi\)
0.884024 + 0.467441i \(0.154824\pi\)
\(192\) −0.922658 + 2.40361i −0.0665871 + 0.173465i
\(193\) −3.02246 + 7.87378i −0.217561 + 0.566767i −0.998312 0.0580757i \(-0.981504\pi\)
0.780751 + 0.624843i \(0.214837\pi\)
\(194\) 6.08387 1.29317i 0.436797 0.0928440i
\(195\) 4.64539 + 30.5805i 0.332664 + 2.18991i
\(196\) −0.426241 6.98701i −0.0304458 0.499072i
\(197\) 1.51257 + 1.51257i 0.107766 + 0.107766i 0.758934 0.651168i \(-0.225721\pi\)
−0.651168 + 0.758934i \(0.725721\pi\)
\(198\) 10.9545 4.98353i 0.778500 0.354164i
\(199\) 0.620874 1.07538i 0.0440126 0.0762320i −0.843180 0.537631i \(-0.819319\pi\)
0.887192 + 0.461399i \(0.152653\pi\)
\(200\) 2.66993 + 4.22747i 0.188793 + 0.298927i
\(201\) −1.52896 1.37669i −0.107845 0.0971039i
\(202\) 3.61810 + 7.10093i 0.254569 + 0.499620i
\(203\) 0.755021 + 5.55105i 0.0529921 + 0.389608i
\(204\) −9.26568 + 12.7531i −0.648727 + 0.892896i
\(205\) 19.2021 0.884590i 1.34113 0.0617824i
\(206\) −2.08401 + 9.80452i −0.145200 + 0.683113i
\(207\) −0.0195769 + 0.0241755i −0.00136069 + 0.00168031i
\(208\) −1.39059 + 5.18974i −0.0964198 + 0.359844i
\(209\) 4.28039 16.5062i 0.296081 1.14176i
\(210\) 13.7344 + 6.58541i 0.947765 + 0.454437i
\(211\) 15.7840 11.4677i 1.08661 0.789472i 0.107790 0.994174i \(-0.465623\pi\)
0.978824 + 0.204702i \(0.0656226\pi\)
\(212\) −3.32844 + 0.174436i −0.228598 + 0.0119803i
\(213\) 0.757755 14.4588i 0.0519205 0.990702i
\(214\) 5.31476 + 11.9372i 0.363310 + 0.816007i
\(215\) −16.2685 + 9.25590i −1.10950 + 0.631247i
\(216\) −1.53925 0.500132i −0.104732 0.0340296i
\(217\) −8.83019 14.2719i −0.599433 0.968842i
\(218\) 2.30907 14.5789i 0.156390 0.987409i
\(219\) 33.1403 19.1336i 2.23942 1.29293i
\(220\) 4.34867 6.00742i 0.293187 0.405020i
\(221\) −16.4482 + 28.4891i −1.10643 + 1.91639i
\(222\) −16.4569 + 6.31721i −1.10451 + 0.423984i
\(223\) 10.6677 20.9365i 0.714360 1.40201i −0.192806 0.981237i \(-0.561759\pi\)
0.907166 0.420773i \(-0.138241\pi\)
\(224\) 1.72688 + 2.00446i 0.115382 + 0.133929i
\(225\) −14.8118 + 10.4777i −0.987454 + 0.698515i
\(226\) −0.709627 + 6.75165i −0.0472037 + 0.449113i
\(227\) −12.8771 0.674862i −0.854686 0.0447922i −0.380041 0.924970i \(-0.624090\pi\)
−0.474645 + 0.880177i \(0.657423\pi\)
\(228\) −11.1016 + 7.20947i −0.735223 + 0.477459i
\(229\) −8.92266 3.97262i −0.589626 0.262518i 0.0901621 0.995927i \(-0.471261\pi\)
−0.679788 + 0.733409i \(0.737928\pi\)
\(230\) −0.00311850 + 0.0189143i −0.000205628 + 0.00124717i
\(231\) 1.49421 22.5427i 0.0983116 1.48320i
\(232\) −1.49724 1.49724i −0.0982987 0.0982987i
\(233\) −10.6680 + 4.09504i −0.698881 + 0.268275i −0.681758 0.731578i \(-0.738784\pi\)
−0.0171234 + 0.999853i \(0.505451\pi\)
\(234\) −19.0699 4.05343i −1.24664 0.264981i
\(235\) 1.05508 4.81386i 0.0688261 0.314022i
\(236\) −1.08667 0.114213i −0.0707359 0.00743465i
\(237\) 12.6252 1.99964i 0.820096 0.129890i
\(238\) 7.03655 + 14.5912i 0.456112 + 0.945808i
\(239\) 4.94922 1.60810i 0.320138 0.104019i −0.144540 0.989499i \(-0.546170\pi\)
0.464678 + 0.885480i \(0.346170\pi\)
\(240\) −5.63866 + 1.16131i −0.363974 + 0.0749621i
\(241\) 20.7090 + 11.9563i 1.33398 + 0.770175i 0.985907 0.167292i \(-0.0535021\pi\)
0.348075 + 0.937467i \(0.386835\pi\)
\(242\) −10.6697 2.67519i −0.685877 0.171968i
\(243\) −5.73390 + 21.3992i −0.367830 + 1.37276i
\(244\) −1.49380 + 1.08531i −0.0956308 + 0.0694798i
\(245\) 12.6424 9.22869i 0.807696 0.589599i
\(246\) −6.83941 + 21.0495i −0.436065 + 1.34207i
\(247\) −21.4678 + 17.3843i −1.36596 + 1.10614i
\(248\) 5.92196 + 2.27323i 0.376045 + 0.144350i
\(249\) 22.6980 20.4374i 1.43843 1.29517i
\(250\) −4.74043 + 10.1256i −0.299811 + 0.640401i
\(251\) 14.8251 + 20.4051i 0.935754 + 1.28796i 0.957572 + 0.288193i \(0.0930546\pi\)
−0.0218179 + 0.999762i \(0.506945\pi\)
\(252\) −6.93553 + 6.63828i −0.436897 + 0.418172i
\(253\) 0.0277633 0.00613581i 0.00174547 0.000385755i
\(254\) 16.9678 9.79639i 1.06466 0.614680i
\(255\) −35.1880 2.06738i −2.20356 0.129465i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −0.0874347 + 0.134638i −0.00545403 + 0.00839847i −0.841387 0.540433i \(-0.818260\pi\)
0.835933 + 0.548831i \(0.184927\pi\)
\(258\) −3.37132 21.2857i −0.209889 1.32519i
\(259\) −2.28748 + 17.9698i −0.142137 + 1.11659i
\(260\) −11.4492 + 3.64018i −0.710051 + 0.225754i
\(261\) 5.14114 5.70982i 0.318229 0.353429i
\(262\) 12.1670 + 9.85266i 0.751681 + 0.608699i
\(263\) −2.14053 7.98858i −0.131991 0.492597i 0.868001 0.496562i \(-0.165404\pi\)
−0.999992 + 0.00396533i \(0.998738\pi\)
\(264\) 4.70831 + 7.12367i 0.289777 + 0.438431i
\(265\) −4.34244 6.05705i −0.266754 0.372082i
\(266\) 1.12537 + 13.5563i 0.0690007 + 0.831189i
\(267\) 10.1834 19.9860i 0.623212 1.22312i
\(268\) 0.435232 0.670199i 0.0265860 0.0409389i
\(269\) −20.6712 + 9.20340i −1.26034 + 0.561141i −0.924646 0.380828i \(-0.875639\pi\)
−0.335698 + 0.941970i \(0.608972\pi\)
\(270\) −0.914533 3.50153i −0.0556567 0.213096i
\(271\) 2.15477 + 10.1374i 0.130893 + 0.615804i 0.993870 + 0.110559i \(0.0352643\pi\)
−0.862976 + 0.505244i \(0.831402\pi\)
\(272\) −5.45541 2.77967i −0.330783 0.168542i
\(273\) −23.6493 + 27.9312i −1.43132 + 1.69048i
\(274\) 15.2613i 0.921969i
\(275\) 16.5562 + 0.943760i 0.998379 + 0.0569109i
\(276\) −0.0191149 0.0110360i −0.00115058 0.000664290i
\(277\) 5.65232 6.98004i 0.339615 0.419390i −0.578513 0.815673i \(-0.696367\pi\)
0.918128 + 0.396283i \(0.129700\pi\)
\(278\) 11.4603 0.600608i 0.687342 0.0360221i
\(279\) −7.11276 + 21.8908i −0.425830 + 1.31057i
\(280\) −1.69183 + 5.66901i −0.101106 + 0.338788i
\(281\) 13.5166 + 9.82037i 0.806332 + 0.585834i 0.912765 0.408486i \(-0.133943\pi\)
−0.106433 + 0.994320i \(0.533943\pi\)
\(282\) 4.75883 + 3.09042i 0.283384 + 0.184032i
\(283\) 15.7978 + 24.3264i 0.939080 + 1.44606i 0.894509 + 0.447051i \(0.147526\pi\)
0.0445718 + 0.999006i \(0.485808\pi\)
\(284\) 5.59282 0.587830i 0.331873 0.0348813i
\(285\) −26.9635 12.2099i −1.59718 0.723250i
\(286\) 11.3256 + 13.7575i 0.669697 + 0.813498i
\(287\) 15.7267 + 16.4309i 0.928319 + 0.969887i
\(288\) 0.567642 3.58395i 0.0334486 0.211186i
\(289\) −15.2256 13.7092i −0.895625 0.806424i
\(290\) 1.01367 4.62491i 0.0595248 0.271584i
\(291\) −14.6291 + 6.51329i −0.857573 + 0.381816i
\(292\) 9.35376 + 11.5509i 0.547388 + 0.675967i
\(293\) −3.12116 + 1.59031i −0.182340 + 0.0929070i −0.542778 0.839876i \(-0.682627\pi\)
0.360438 + 0.932783i \(0.382627\pi\)
\(294\) 4.81351 + 17.3676i 0.280730 + 1.01290i
\(295\) −1.09542 2.18392i −0.0637777 0.127153i
\(296\) −3.42338 5.92946i −0.198980 0.344643i
\(297\) −4.31706 + 3.19006i −0.250501 + 0.185106i
\(298\) −3.31345 12.3660i −0.191943 0.716342i
\(299\) −0.0420787 0.0187346i −0.00243347 0.00108345i
\(300\) −8.98675 9.21704i −0.518850 0.532146i
\(301\) −20.9077 7.30314i −1.20510 0.420946i
\(302\) −2.07363 13.0924i −0.119324 0.753380i
\(303\) −12.9127 15.9459i −0.741816 0.916067i
\(304\) −3.44028 3.82082i −0.197314 0.219139i
\(305\) −3.84510 1.50397i −0.220170 0.0861169i
\(306\) 9.03653 20.2964i 0.516584 1.16027i
\(307\) 7.49543 7.49543i 0.427787 0.427787i −0.460087 0.887874i \(-0.652182\pi\)
0.887874 + 0.460087i \(0.152182\pi\)
\(308\) 8.73874 0.796484i 0.497936 0.0453839i
\(309\) 25.8068i 1.46810i
\(310\) 2.86121 + 13.8924i 0.162506 + 0.789037i
\(311\) 3.70070 17.4104i 0.209847 0.987254i −0.739532 0.673121i \(-0.764953\pi\)
0.949379 0.314132i \(-0.101714\pi\)
\(312\) 0.723958 13.8139i 0.0409861 0.782061i
\(313\) 12.5594 10.1704i 0.709899 0.574865i −0.204896 0.978784i \(-0.565686\pi\)
0.914795 + 0.403919i \(0.132352\pi\)
\(314\) 5.02796 + 3.65303i 0.283744 + 0.206152i
\(315\) −20.8638 5.05400i −1.17554 0.284761i
\(316\) 1.53423 + 4.72186i 0.0863070 + 0.265626i
\(317\) 0.202020 + 0.526280i 0.0113466 + 0.0295588i 0.939137 0.343544i \(-0.111627\pi\)
−0.927790 + 0.373102i \(0.878294\pi\)
\(318\) 8.28879 2.22098i 0.464812 0.124546i
\(319\) −6.92714 + 1.15452i −0.387845 + 0.0646406i
\(320\) −0.788115 2.09258i −0.0440570 0.116979i
\(321\) −19.7743 27.2170i −1.10369 1.51910i
\(322\) −0.0192885 + 0.0119340i −0.00107491 + 0.000665057i
\(323\) −14.2915 28.0486i −0.795198 1.56066i
\(324\) −6.68216 0.702323i −0.371231 0.0390179i
\(325\) −20.6618 17.1688i −1.14611 0.952356i
\(326\) −4.17175 4.63320i −0.231052 0.256609i
\(327\) 1.98892 + 37.9509i 0.109988 + 2.09869i
\(328\) −8.49072 1.34480i −0.468821 0.0742540i
\(329\) 5.11245 2.80426i 0.281858 0.154604i
\(330\) −7.73574 + 17.4566i −0.425838 + 0.960954i
\(331\) 4.23700 + 7.33870i 0.232887 + 0.403372i 0.958656 0.284566i \(-0.0918495\pi\)
−0.725770 + 0.687938i \(0.758516\pi\)
\(332\) 9.21945 + 7.46576i 0.505983 + 0.409737i
\(333\) 20.8362 13.5312i 1.14182 0.741503i
\(334\) 4.01833 0.854123i 0.219873 0.0467355i
\(335\) 1.78685 + 0.0113022i 0.0976262 + 0.000617503i
\(336\) −5.42187 4.12356i −0.295787 0.224958i
\(337\) 23.1037 11.7719i 1.25854 0.641256i 0.307857 0.951433i \(-0.400388\pi\)
0.950679 + 0.310176i \(0.100388\pi\)
\(338\) −0.830421 15.8454i −0.0451689 0.861875i
\(339\) −1.82701 17.3829i −0.0992298 0.944109i
\(340\) −1.34494 13.6247i −0.0729395 0.738902i
\(341\) 17.5512 11.6003i 0.950449 0.628189i
\(342\) 13.1920 13.1920i 0.713341 0.713341i
\(343\) 18.0626 + 4.09163i 0.975290 + 0.220928i
\(344\) 7.96091 2.58666i 0.429224 0.139463i
\(345\) −0.00227122 0.0493022i −0.000122278 0.00265434i
\(346\) 2.78586 + 6.25713i 0.149769 + 0.336386i
\(347\) −26.9129 10.3309i −1.44476 0.554592i −0.495368 0.868683i \(-0.664967\pi\)
−0.949393 + 0.314091i \(0.898300\pi\)
\(348\) 4.57204 + 2.96912i 0.245087 + 0.159161i
\(349\) −0.972163 2.99201i −0.0520387 0.160159i 0.921660 0.387999i \(-0.126834\pi\)
−0.973699 + 0.227840i \(0.926834\pi\)
\(350\) −12.7150 + 3.65093i −0.679644 + 0.195151i
\(351\) 8.69568 0.464141
\(352\) −2.44675 + 2.23907i −0.130412 + 0.119343i
\(353\) 20.4365 5.47594i 1.08773 0.291455i 0.329968 0.943992i \(-0.392962\pi\)
0.757757 + 0.652537i \(0.226295\pi\)
\(354\) 2.79774 0.294055i 0.148698 0.0156288i
\(355\) 7.85162 + 9.82233i 0.416721 + 0.521315i
\(356\) 8.28589 + 2.69225i 0.439152 + 0.142689i
\(357\) −25.5311 32.9792i −1.35125 1.74544i
\(358\) 17.0883 2.70652i 0.903143 0.143044i
\(359\) 7.52589 + 35.4065i 0.397201 + 1.86869i 0.488041 + 0.872820i \(0.337712\pi\)
−0.0908399 + 0.995866i \(0.528955\pi\)
\(360\) 7.43309 3.25325i 0.391758 0.171461i
\(361\) −0.777086 7.39348i −0.0408993 0.389131i
\(362\) −10.8953 2.91938i −0.572643 0.153439i
\(363\) 28.3021 + 1.02564i 1.48548 + 0.0538320i
\(364\) −12.1521 7.37538i −0.636943 0.386575i
\(365\) −10.4700 + 31.5430i −0.548024 + 1.65104i
\(366\) 3.18095 3.53281i 0.166271 0.184663i
\(367\) −23.6733 1.24067i −1.23574 0.0647623i −0.576753 0.816918i \(-0.695681\pi\)
−0.658985 + 0.752156i \(0.729014\pi\)
\(368\) 0.00307227 0.00800354i 0.000160153 0.000417213i
\(369\) 3.26062 31.0228i 0.169741 1.61498i
\(370\) 7.03665 13.5969i 0.365818 0.706869i
\(371\) 2.02183 8.58339i 0.104968 0.445627i
\(372\) −16.1304 2.55481i −0.836323 0.132461i
\(373\) −17.1930 4.60685i −0.890220 0.238534i −0.215409 0.976524i \(-0.569108\pi\)
−0.674811 + 0.737990i \(0.735775\pi\)
\(374\) −18.0186 + 9.36481i −0.931719 + 0.484243i
\(375\) 6.51790 28.0374i 0.336583 1.44784i
\(376\) −0.896417 + 2.01339i −0.0462292 + 0.103832i
\(377\) 10.1365 + 5.16482i 0.522058 + 0.266002i
\(378\) 2.41023 3.53930i 0.123969 0.182042i
\(379\) 20.3955 28.0720i 1.04765 1.44196i 0.156814 0.987628i \(-0.449878\pi\)
0.890832 0.454333i \(-0.150122\pi\)
\(380\) 3.04571 11.0858i 0.156242 0.568689i
\(381\) −37.4871 + 33.7535i −1.92052 + 1.72924i
\(382\) −11.5543 17.7921i −0.591171 0.910324i
\(383\) −1.18350 3.08312i −0.0604741 0.157540i 0.900014 0.435860i \(-0.143556\pi\)
−0.960488 + 0.278320i \(0.910222\pi\)
\(384\) 2.57461 0.131385
\(385\) 12.0384 + 15.4944i 0.613533 + 0.789669i
\(386\) 8.43396 0.429277
\(387\) 10.8850 + 28.3563i 0.553314 + 1.44143i
\(388\) −3.38754 5.21636i −0.171976 0.264820i
\(389\) 5.77845 5.20294i 0.292979 0.263800i −0.509512 0.860464i \(-0.670174\pi\)
0.802491 + 0.596664i \(0.203507\pi\)
\(390\) 26.8846 15.2959i 1.36135 0.774539i
\(391\) 0.0308529 0.0424653i 0.00156030 0.00214756i
\(392\) −6.37019 + 2.90185i −0.321743 + 0.146566i
\(393\) −35.9149 18.2995i −1.81167 0.923090i
\(394\) 0.870051 1.95417i 0.0438325 0.0984495i
\(395\) −7.04100 + 8.58333i −0.354271 + 0.431874i
\(396\) −8.57826 8.44094i −0.431074 0.424173i
\(397\) 14.0566 + 3.76645i 0.705479 + 0.189033i 0.593684 0.804699i \(-0.297673\pi\)
0.111796 + 0.993731i \(0.464340\pi\)
\(398\) −1.22646 0.194252i −0.0614769 0.00973698i
\(399\) −10.0906 33.5371i −0.505164 1.67895i
\(400\) 2.98986 4.00758i 0.149493 0.200379i
\(401\) −0.379075 + 3.60666i −0.0189301 + 0.180108i −0.999901 0.0140451i \(-0.995529\pi\)
0.980971 + 0.194153i \(0.0621958\pi\)
\(402\) −0.737315 + 1.92077i −0.0367739 + 0.0957994i
\(403\) −34.0346 1.78368i −1.69538 0.0888512i
\(404\) 5.33268 5.92254i 0.265311 0.294657i
\(405\) −6.73597 13.4294i −0.334713 0.667313i
\(406\) 4.91178 2.69419i 0.243768 0.133711i
\(407\) −22.6021 2.19135i −1.12035 0.108621i
\(408\) 15.2266 + 4.07995i 0.753828 + 0.201988i
\(409\) −2.65052 25.2180i −0.131060 1.24695i −0.840355 0.542037i \(-0.817653\pi\)
0.709295 0.704912i \(-0.249013\pi\)
\(410\) −7.70726 17.6097i −0.380634 0.869681i
\(411\) 8.16925 + 38.4333i 0.402959 + 1.89577i
\(412\) 9.90015 1.56803i 0.487745 0.0772513i
\(413\) 1.09484 2.67555i 0.0538736 0.131655i
\(414\) 0.0295855 + 0.00961290i 0.00145405 + 0.000472448i
\(415\) −2.93963 + 26.3636i −0.144301 + 1.29414i
\(416\) 5.34338 0.561612i 0.261981 0.0275353i
\(417\) −28.5395 + 7.64713i −1.39758 + 0.374482i
\(418\) −16.9438 + 1.91921i −0.828749 + 0.0938715i
\(419\) −32.6569 −1.59540 −0.797698 0.603058i \(-0.793949\pi\)
−0.797698 + 0.603058i \(0.793949\pi\)
\(420\) 1.22604 15.1822i 0.0598245 0.740815i
\(421\) −2.86881 8.82930i −0.139817 0.430314i 0.856491 0.516162i \(-0.172640\pi\)
−0.996308 + 0.0858486i \(0.972640\pi\)
\(422\) −16.3625 10.6260i −0.796515 0.517263i
\(423\) −7.46604 2.86595i −0.363011 0.139347i
\(424\) 1.35565 + 3.04485i 0.0658364 + 0.147871i
\(425\) 24.0332 18.9634i 1.16578 0.919858i
\(426\) −13.7700 + 4.47415i −0.667160 + 0.216773i
\(427\) −1.65044 4.59798i −0.0798702 0.222512i
\(428\) 9.23965 9.23965i 0.446615 0.446615i
\(429\) −35.8861 28.5837i −1.73260 1.38003i
\(430\) 14.4712 + 11.8709i 0.697864 + 0.572466i
\(431\) −2.24721 21.3808i −0.108245 1.02988i −0.904952 0.425513i \(-0.860094\pi\)
0.796708 0.604365i \(-0.206573\pi\)
\(432\) 0.0847036 + 1.61624i 0.00407531 + 0.0777615i
\(433\) 13.8030 7.03299i 0.663331 0.337984i −0.0897003 0.995969i \(-0.528591\pi\)
0.753031 + 0.657985i \(0.228591\pi\)
\(434\) −10.1595 + 13.3583i −0.487674 + 0.641219i
\(435\) −0.0771024 + 12.1898i −0.00369678 + 0.584454i
\(436\) −14.4381 + 3.06891i −0.691459 + 0.146974i
\(437\) 0.0369662 0.0240061i 0.00176833 0.00114837i
\(438\) −29.7392 24.0823i −1.42099 1.15070i
\(439\) 11.1404 + 19.2958i 0.531703 + 0.920936i 0.999315 + 0.0370027i \(0.0117810\pi\)
−0.467612 + 0.883934i \(0.654886\pi\)
\(440\) −7.16683 1.90696i −0.341665 0.0909109i
\(441\) −11.7250 22.5322i −0.558335 1.07296i
\(442\) 32.4914 + 5.14613i 1.54546 + 0.244777i
\(443\) 0.366572 + 6.99460i 0.0174163 + 0.332324i 0.993417 + 0.114555i \(0.0365443\pi\)
−0.976001 + 0.217768i \(0.930122\pi\)
\(444\) 11.7953 + 13.1000i 0.559778 + 0.621696i
\(445\) 4.92301 + 18.8490i 0.233373 + 0.893529i
\(446\) −23.3688 2.45616i −1.10655 0.116303i
\(447\) 14.9638 + 29.3682i 0.707765 + 1.38907i
\(448\) 1.25247 2.33052i 0.0591736 0.110107i
\(449\) 11.5035 + 15.8332i 0.542883 + 0.747214i 0.989025 0.147748i \(-0.0472025\pi\)
−0.446142 + 0.894962i \(0.647203\pi\)
\(450\) 15.0899 + 10.0731i 0.711344 + 0.474852i
\(451\) −19.9974 + 20.3227i −0.941640 + 0.956959i
\(452\) 6.55752 1.75708i 0.308440 0.0826462i
\(453\) 12.2303 + 31.8611i 0.574632 + 1.49697i
\(454\) 3.98472 + 12.2637i 0.187012 + 0.575564i
\(455\) −0.767224 31.7767i −0.0359680 1.48972i
\(456\) 10.7091 + 7.78061i 0.501499 + 0.364360i
\(457\) 10.4340 8.44930i 0.488083 0.395241i −0.353445 0.935455i \(-0.614990\pi\)
0.841528 + 0.540214i \(0.181657\pi\)
\(458\) −0.511169 + 9.75368i −0.0238853 + 0.455760i
\(459\) −2.06029 + 9.69288i −0.0961659 + 0.452425i
\(460\) 0.0187756 0.00386693i 0.000875418 0.000180296i
\(461\) 4.99391i 0.232590i −0.993215 0.116295i \(-0.962898\pi\)
0.993215 0.116295i \(-0.0371017\pi\)
\(462\) −21.5809 + 6.68360i −1.00403 + 0.310949i
\(463\) −11.2233 + 11.2233i −0.521591 + 0.521591i −0.918052 0.396461i \(-0.870238\pi\)
0.396461 + 0.918052i \(0.370238\pi\)
\(464\) −0.861232 + 1.93436i −0.0399817 + 0.0898004i
\(465\) −14.6420 33.4544i −0.679008 1.55141i
\(466\) 7.64611 + 8.49186i 0.354199 + 0.393378i
\(467\) 9.44237 + 11.6604i 0.436941 + 0.539577i 0.947284 0.320394i \(-0.103815\pi\)
−0.510344 + 0.859970i \(0.670482\pi\)
\(468\) 3.04983 + 19.2559i 0.140979 + 0.890104i
\(469\) 1.37999 + 1.60181i 0.0637219 + 0.0739647i
\(470\) −4.87223 + 0.740127i −0.224739 + 0.0341395i
\(471\) −14.6176 6.50817i −0.673543 0.299881i
\(472\) 0.282799 + 1.05542i 0.0130169 + 0.0485797i
\(473\) 8.36566 26.4717i 0.384653 1.21717i
\(474\) −6.39129 11.0700i −0.293562 0.508464i
\(475\) 24.5474 7.63402i 1.12631 0.350273i
\(476\) 11.1004 11.7982i 0.508786 0.540770i
\(477\) −10.7760 + 5.49066i −0.493400 + 0.251400i
\(478\) −3.27493 4.04420i −0.149792 0.184978i
\(479\) 19.1261 8.51551i 0.873896 0.389083i 0.0797530 0.996815i \(-0.474587\pi\)
0.794143 + 0.607731i \(0.207920\pi\)
\(480\) 3.10489 + 4.84797i 0.141718 + 0.221278i
\(481\) 27.3376 + 24.6149i 1.24649 + 1.12234i
\(482\) 3.74077 23.6183i 0.170387 1.07578i
\(483\) 0.0421871 0.0403790i 0.00191958 0.00183731i
\(484\) 1.32619 + 10.9198i 0.0602813 + 0.496353i
\(485\) 5.73709 12.6694i 0.260508 0.575290i
\(486\) 22.0327 2.31573i 0.999425 0.105044i
\(487\) 10.4223 + 16.0489i 0.472278 + 0.727244i 0.991882 0.127163i \(-0.0405871\pi\)
−0.519604 + 0.854407i \(0.673920\pi\)
\(488\) 1.54855 + 1.00564i 0.0700997 + 0.0455233i
\(489\) 12.9860 + 9.43491i 0.587249 + 0.426661i
\(490\) −13.1464 8.49547i −0.593892 0.383786i
\(491\) −12.0224 + 37.0011i −0.542562 + 1.66983i 0.184155 + 0.982897i \(0.441045\pi\)
−0.726717 + 0.686937i \(0.758955\pi\)
\(492\) 22.1024 1.15834i 0.996455 0.0522220i
\(493\) −8.15878 + 10.0753i −0.367453 + 0.453767i
\(494\) 23.9230 + 13.8119i 1.07635 + 0.621429i
\(495\) 5.54913 26.3322i 0.249415 1.18355i
\(496\) 6.34328i 0.284822i
\(497\) −2.64873 + 14.6411i −0.118812 + 0.656742i
\(498\) −27.2142 13.8663i −1.21950 0.621364i
\(499\) 1.60812 + 7.56559i 0.0719891 + 0.338682i 0.999372 0.0354311i \(-0.0112804\pi\)
−0.927383 + 0.374113i \(0.877947\pi\)
\(500\) 11.1519 + 0.796875i 0.498728 + 0.0356373i
\(501\) −9.66236 + 4.30196i −0.431683 + 0.192197i
\(502\) 13.7369 21.1530i 0.613108 0.944103i
\(503\) 18.3045 35.9246i 0.816158 1.60180i 0.0176293 0.999845i \(-0.494388\pi\)
0.798529 0.601956i \(-0.205612\pi\)
\(504\) 8.68284 + 4.09593i 0.386764 + 0.182447i
\(505\) 17.5831 + 2.89901i 0.782437 + 0.129004i
\(506\) −0.0156778 0.0237204i −0.000696961 0.00105450i
\(507\) 10.5732 + 39.4597i 0.469572 + 1.75247i
\(508\) −15.2265 12.3301i −0.675565 0.547061i
\(509\) 2.82321 3.13549i 0.125136 0.138978i −0.677321 0.735688i \(-0.736859\pi\)
0.802457 + 0.596710i \(0.203526\pi\)
\(510\) 10.6802 + 33.5918i 0.472927 + 1.48747i
\(511\) −36.2663 + 15.2044i −1.60433 + 0.672602i
\(512\) 0.156434 + 0.987688i 0.00691349 + 0.0436501i
\(513\) −4.53204 + 6.97873i −0.200094 + 0.308118i
\(514\) 0.157029 + 0.0333775i 0.00692625 + 0.00147222i
\(515\) 14.8918 + 16.7509i 0.656211 + 0.738132i
\(516\) −18.6637 + 10.7755i −0.821625 + 0.474366i
\(517\) 3.70575 + 6.30060i 0.162979 + 0.277100i
\(518\) 17.5960 4.30425i 0.773124 0.189118i
\(519\) −10.3652 14.2664i −0.454980 0.626226i
\(520\) 7.50143 + 9.38425i 0.328960 + 0.411526i
\(521\) 13.2605 11.9398i 0.580951 0.523091i −0.325422 0.945569i \(-0.605506\pi\)
0.906373 + 0.422478i \(0.138840\pi\)
\(522\) −7.17299 2.75345i −0.313953 0.120515i
\(523\) −14.2792 + 11.5631i −0.624385 + 0.505617i −0.888502 0.458874i \(-0.848253\pi\)
0.264116 + 0.964491i \(0.414920\pi\)
\(524\) 4.83798 14.8898i 0.211348 0.650463i
\(525\) 30.0665 16.0005i 1.31221 0.698321i
\(526\) −6.69088 + 4.86121i −0.291736 + 0.211959i
\(527\) 10.0521 37.5150i 0.437877 1.63418i
\(528\) 4.96321 6.94848i 0.215996 0.302394i
\(529\) −19.9185 11.5000i −0.866023 0.499998i
\(530\) −4.09855 + 6.22467i −0.178030 + 0.270382i
\(531\) −3.77077 + 1.22520i −0.163637 + 0.0531690i
\(532\) 12.2526 5.90876i 0.531217 0.256177i
\(533\) 45.6190 7.22534i 1.97598 0.312964i
\(534\) −22.3079 2.34466i −0.965358 0.101463i
\(535\) 28.5409 + 6.25548i 1.23393 + 0.270448i
\(536\) −0.781658 0.166147i −0.0337625 0.00717644i
\(537\) −41.5855 + 15.9632i −1.79454 + 0.688861i
\(538\) 16.0000 + 16.0000i 0.689809 + 0.689809i
\(539\) −4.44848 + 22.7862i −0.191609 + 0.981471i
\(540\) −2.94122 + 2.10863i −0.126570 + 0.0907408i
\(541\) 18.5367 + 8.25305i 0.796953 + 0.354826i 0.764481 0.644646i \(-0.222995\pi\)
0.0324720 + 0.999473i \(0.489662\pi\)
\(542\) 8.69188 5.64458i 0.373348 0.242455i
\(543\) 29.0008 + 1.51987i 1.24454 + 0.0652238i
\(544\) −0.640002 + 6.08921i −0.0274399 + 0.261073i
\(545\) −23.1906 23.4858i −0.993374 1.00602i
\(546\) 34.5512 + 12.0689i 1.47866 + 0.516500i
\(547\) 5.81016 11.4031i 0.248425 0.487561i −0.732796 0.680448i \(-0.761785\pi\)
0.981221 + 0.192887i \(0.0617852\pi\)
\(548\) −14.2477 + 5.46916i −0.608630 + 0.233631i
\(549\) −3.35002 + 5.80240i −0.142975 + 0.247640i
\(550\) −5.05215 15.7948i −0.215424 0.673493i
\(551\) −9.42802 + 5.44327i −0.401647 + 0.231891i
\(552\) −0.00345282 + 0.0218003i −0.000146962 + 0.000927881i
\(553\) −13.1297 + 0.400115i −0.558331 + 0.0170146i
\(554\) −8.54204 2.77548i −0.362916 0.117919i
\(555\) −10.4424 + 38.0084i −0.443257 + 1.61337i
\(556\) −4.66771 10.4839i −0.197955 0.444614i
\(557\) −0.777492 + 14.8354i −0.0329434 + 0.628597i 0.931409 + 0.363975i \(0.118581\pi\)
−0.964352 + 0.264622i \(0.914753\pi\)
\(558\) 22.9858 1.20464i 0.973068 0.0509963i
\(559\) −36.3844 + 26.4348i −1.53890 + 1.11807i
\(560\) 5.89878 0.452135i 0.249269 0.0191062i
\(561\) 40.3642 33.2291i 1.70418 1.40293i
\(562\) 4.32420 16.1381i 0.182405 0.680746i
\(563\) −5.62704 + 6.94882i −0.237152 + 0.292858i −0.881802 0.471620i \(-0.843670\pi\)
0.644651 + 0.764477i \(0.277003\pi\)
\(564\) 1.17974 5.55026i 0.0496761 0.233708i
\(565\) 11.2167 + 10.2288i 0.471890 + 0.430327i
\(566\) 17.0493 23.4663i 0.716634 0.986363i
\(567\) 6.73242 16.4525i 0.282735 0.690942i
\(568\) −2.55308 5.01069i −0.107125 0.210244i
\(569\) −16.4169 14.7818i −0.688231 0.619686i 0.248955 0.968515i \(-0.419913\pi\)
−0.937186 + 0.348829i \(0.886579\pi\)
\(570\) −1.73603 + 29.5482i −0.0727143 + 1.23764i
\(571\) −3.53397 + 6.12102i −0.147892 + 0.256157i −0.930448 0.366423i \(-0.880582\pi\)
0.782556 + 0.622580i \(0.213916\pi\)
\(572\) 8.78500 15.5036i 0.367319 0.648239i
\(573\) 38.6218 + 38.6218i 1.61345 + 1.61345i
\(574\) 9.70364 20.5705i 0.405022 0.858595i
\(575\) 0.0299241 + 0.0306909i 0.00124792 + 0.00127990i
\(576\) −3.54933 + 0.754433i −0.147889 + 0.0314347i
\(577\) 5.46309 14.2318i 0.227432 0.592480i −0.771617 0.636087i \(-0.780552\pi\)
0.999049 + 0.0436077i \(0.0138852\pi\)
\(578\) −7.34228 + 19.1273i −0.305399 + 0.795590i
\(579\) −21.2397 + 4.51463i −0.882690 + 0.187622i
\(580\) −4.68099 + 0.711076i −0.194368 + 0.0295258i
\(581\) −25.7905 + 17.8885i −1.06997 + 0.742141i
\(582\) 11.3233 + 11.3233i 0.469365 + 0.469365i
\(583\) 10.8310 + 2.21101i 0.448572 + 0.0915706i
\(584\) 7.43164 12.8720i 0.307523 0.532646i
\(585\) −32.5806 + 28.9647i −1.34704 + 1.19754i
\(586\) 2.60321 + 2.34394i 0.107538 + 0.0968272i
\(587\) −8.98170 17.6276i −0.370714 0.727568i 0.628002 0.778211i \(-0.283873\pi\)
−0.998717 + 0.0506433i \(0.983873\pi\)
\(588\) 14.4890 10.7178i 0.597517 0.441994i
\(589\) 19.1697 26.3849i 0.789875 1.08717i
\(590\) −1.64630 + 1.80531i −0.0677771 + 0.0743233i
\(591\) −1.14504 + 5.38701i −0.0471008 + 0.221592i
\(592\) −4.30880 + 5.32093i −0.177091 + 0.218689i
\(593\) −6.42151 + 23.9654i −0.263700 + 0.984142i 0.699341 + 0.714788i \(0.253477\pi\)
−0.963041 + 0.269354i \(0.913190\pi\)
\(594\) 4.52528 + 2.88711i 0.185674 + 0.118459i
\(595\) 35.6026 + 6.67372i 1.45956 + 0.273596i
\(596\) −10.3572 + 7.52494i −0.424247 + 0.308234i
\(597\) 3.19264 0.167319i 0.130666 0.00684791i
\(598\) −0.00241064 + 0.0459977i −9.85784e−5 + 0.00188099i
\(599\) 1.79775 + 4.03782i 0.0734542 + 0.164981i 0.946541 0.322585i \(-0.104552\pi\)
−0.873086 + 0.487566i \(0.837885\pi\)
\(600\) −5.38429 + 11.6929i −0.219813 + 0.477363i
\(601\) −45.5374 14.7960i −1.85751 0.603542i −0.995282 0.0970230i \(-0.969068\pi\)
−0.862229 0.506519i \(-0.830932\pi\)
\(602\) 0.674581 + 22.1362i 0.0274939 + 0.902206i
\(603\) 0.453614 2.86401i 0.0184726 0.116631i
\(604\) −11.4796 + 6.62778i −0.467100 + 0.269680i
\(605\) −18.9625 + 15.6660i −0.770934 + 0.636915i
\(606\) −10.2593 + 17.7696i −0.416754 + 0.721839i
\(607\) 21.3244 8.18566i 0.865530 0.332246i 0.115226 0.993339i \(-0.463241\pi\)
0.750304 + 0.661093i \(0.229907\pi\)
\(608\) −2.33416 + 4.58104i −0.0946625 + 0.185786i
\(609\) −10.9274 + 9.41415i −0.442801 + 0.381481i
\(610\) −0.0261147 + 4.12868i −0.00105735 + 0.167165i
\(611\) 1.23775 11.7764i 0.0500740 0.476423i
\(612\) −22.1867 1.16276i −0.896845 0.0470016i
\(613\) −9.03167 + 5.86523i −0.364786 + 0.236895i −0.713996 0.700150i \(-0.753117\pi\)
0.349210 + 0.937044i \(0.386450\pi\)
\(614\) −9.68371 4.31146i −0.390803 0.173997i
\(615\) 28.8359 + 40.2218i 1.16278 + 1.62190i
\(616\) −3.87527 7.87288i −0.156139 0.317208i
\(617\) 20.3482 + 20.3482i 0.819188 + 0.819188i 0.985990 0.166802i \(-0.0533441\pi\)
−0.166802 + 0.985990i \(0.553344\pi\)
\(618\) −24.0927 + 9.24831i −0.969150 + 0.372022i
\(619\) −34.2180 7.27327i −1.37534 0.292337i −0.539812 0.841786i \(-0.681505\pi\)
−0.835528 + 0.549448i \(0.814838\pi\)
\(620\) 11.9443 7.64977i 0.479696 0.307222i
\(621\) −0.0137990 0.00145033i −0.000553733 5.81997e-5i
\(622\) −17.5802 + 2.78443i −0.704903 + 0.111646i
\(623\) −12.9745 + 19.0524i −0.519812 + 0.763317i
\(624\) −13.1559 + 4.27460i −0.526656 + 0.171121i
\(625\) 11.9483 + 21.9599i 0.477932 + 0.878397i
\(626\) −13.9958 8.08046i −0.559383 0.322960i
\(627\) 41.6431 13.9031i 1.66307 0.555237i
\(628\) 1.60853 6.00313i 0.0641875 0.239551i
\(629\) −33.9148 + 24.6405i −1.35227 + 0.982482i
\(630\) 2.75860 + 21.2892i 0.109905 + 0.848184i
\(631\) 8.34202 25.6741i 0.332091 1.02207i −0.636047 0.771651i \(-0.719431\pi\)
0.968137 0.250420i \(-0.0805686\pi\)
\(632\) 3.85842 3.12449i 0.153480 0.124285i
\(633\) 46.8946 + 18.0011i 1.86389 + 0.715481i
\(634\) 0.418927 0.377204i 0.0166377 0.0149807i
\(635\) 4.85497 43.5410i 0.192664 1.72787i
\(636\) −5.04390 6.94233i −0.200004 0.275281i
\(637\) 27.7328 25.4044i 1.09881 1.00656i
\(638\) 3.56030 + 6.05330i 0.140954 + 0.239652i
\(639\) 17.6721 10.2030i 0.699099 0.403625i
\(640\) −1.67115 + 1.48568i −0.0660581 + 0.0587267i
\(641\) 4.37689 + 0.930337i 0.172877 + 0.0367461i 0.293537 0.955948i \(-0.405168\pi\)
−0.120660 + 0.992694i \(0.538501\pi\)
\(642\) −18.3228 + 28.2146i −0.723142 + 1.11354i
\(643\) 5.14094 + 32.4586i 0.202739 + 1.28004i 0.853633 + 0.520874i \(0.174394\pi\)
−0.650895 + 0.759168i \(0.725606\pi\)
\(644\) 0.0180538 + 0.0137306i 0.000711418 + 0.000541063i
\(645\) −42.7980 22.1488i −1.68517 0.872106i
\(646\) −21.0640 + 23.3939i −0.828752 + 0.920422i
\(647\) −2.23020 1.80598i −0.0876782 0.0710004i 0.584479 0.811409i \(-0.301299\pi\)
−0.672157 + 0.740408i \(0.734632\pi\)
\(648\) 1.73900 + 6.49002i 0.0683142 + 0.254952i
\(649\) 3.39359 + 1.27136i 0.133210 + 0.0499051i
\(650\) −8.62398 + 25.4422i −0.338260 + 0.997925i
\(651\) 18.4347 39.0792i 0.722513 1.53163i
\(652\) −2.83044 + 5.55505i −0.110849 + 0.217553i
\(653\) 5.54473 8.53814i 0.216982 0.334123i −0.713372 0.700786i \(-0.752833\pi\)
0.930354 + 0.366662i \(0.119500\pi\)
\(654\) 34.7174 15.4572i 1.35756 0.604424i
\(655\) 33.8717 8.84666i 1.32348 0.345668i
\(656\) 1.78732 + 8.40870i 0.0697833 + 0.328304i
\(657\) 48.0549 + 24.4852i 1.87480 + 0.955257i
\(658\) −4.45014 3.76792i −0.173485 0.146889i
\(659\) 14.7245i 0.573584i −0.957993 0.286792i \(-0.907411\pi\)
0.957993 0.286792i \(-0.0925889\pi\)
\(660\) 19.0694 + 0.966051i 0.742274 + 0.0376035i
\(661\) 23.1240 + 13.3506i 0.899419 + 0.519280i 0.877012 0.480469i \(-0.159534\pi\)
0.0224074 + 0.999749i \(0.492867\pi\)
\(662\) 5.33286 6.58554i 0.207268 0.255954i
\(663\) −84.5794 + 4.43262i −3.28479 + 0.172149i
\(664\) 3.66594 11.2826i 0.142266 0.437849i
\(665\) 25.9023 + 15.9458i 1.00445 + 0.618350i
\(666\) −20.0995 14.6031i −0.778838 0.565859i
\(667\) −0.0152240 0.00988658i −0.000589475 0.000382810i
\(668\) −2.23743 3.44535i −0.0865689 0.133304i
\(669\) 60.1657 6.32367i 2.32614 0.244487i
\(670\) −0.629799 1.67222i −0.0243313 0.0646035i
\(671\) 5.69930 2.24068i 0.220019 0.0865006i
\(672\) −1.90665 + 6.53950i −0.0735505 + 0.252267i
\(673\) −3.56024 + 22.4785i −0.137237 + 0.866483i 0.818979 + 0.573823i \(0.194540\pi\)
−0.956217 + 0.292660i \(0.905460\pi\)
\(674\) −19.2696 17.3504i −0.742238 0.668314i
\(675\) −7.51752 2.99536i −0.289350 0.115291i
\(676\) −14.4953 + 6.45374i −0.557513 + 0.248221i
\(677\) 26.7175 + 32.9933i 1.02684 + 1.26804i 0.962836 + 0.270086i \(0.0870521\pi\)
0.0639991 + 0.997950i \(0.479615\pi\)
\(678\) −15.5736 + 7.93513i −0.598100 + 0.304747i
\(679\) 15.7582 4.74132i 0.604744 0.181955i
\(680\) −12.2377 + 6.13825i −0.469296 + 0.235391i
\(681\) −16.5996 28.7513i −0.636097 1.10175i
\(682\) −17.1195 12.2283i −0.655541 0.468245i
\(683\) −3.57269 13.3335i −0.136705 0.510191i −0.999985 0.00546543i \(-0.998260\pi\)
0.863280 0.504726i \(-0.168406\pi\)
\(684\) −17.0434 7.58819i −0.651669 0.290142i
\(685\) −27.4805 20.2326i −1.04998 0.773047i
\(686\) −2.65320 18.3292i −0.101300 0.699813i
\(687\) −3.93376 24.8368i −0.150082 0.947583i
\(688\) −5.26779 6.50518i −0.200832 0.248007i
\(689\) −11.9825 13.3079i −0.456498 0.506992i
\(690\) −0.0452137 + 0.0197887i −0.00172126 + 0.000753343i
\(691\) −6.61906 + 14.8666i −0.251801 + 0.565554i −0.994579 0.103984i \(-0.966841\pi\)
0.742778 + 0.669538i \(0.233508\pi\)
\(692\) 4.84318 4.84318i 0.184110 0.184110i
\(693\) 27.7926 15.5377i 1.05575 0.590230i
\(694\) 28.8276i 1.09428i
\(695\) 14.1119 21.4324i 0.535295 0.812977i
\(696\) 1.13344 5.33240i 0.0429628 0.202124i
\(697\) −2.75468 + 52.5624i −0.104341 + 1.99094i
\(698\) −2.44489 + 1.97983i −0.0925404 + 0.0749377i
\(699\) −23.8012 17.2926i −0.900244 0.654065i
\(700\) 7.96508 + 10.5621i 0.301052 + 0.399209i
\(701\) −14.8000 45.5498i −0.558989 1.72039i −0.685169 0.728384i \(-0.740272\pi\)
0.126179 0.992007i \(-0.459728\pi\)
\(702\) −3.11625 8.11812i −0.117615 0.306399i
\(703\) −34.0026 + 9.11096i −1.28243 + 0.343626i
\(704\) 2.96719 + 1.48182i 0.111830 + 0.0558483i
\(705\) 11.8738 4.47196i 0.447193 0.168424i
\(706\) −12.4360 17.1167i −0.468036 0.644196i
\(707\) 11.0941 + 17.9310i 0.417235 + 0.674363i
\(708\) −1.27715 2.50654i −0.0479981 0.0942015i
\(709\) −2.20653 0.231916i −0.0828681 0.00870979i 0.0630037 0.998013i \(-0.479932\pi\)
−0.145872 + 0.989304i \(0.546599\pi\)
\(710\) 6.35617 10.8501i 0.238543 0.407198i
\(711\) 12.0548 + 13.3882i 0.452090 + 0.502097i
\(712\) −0.455967 8.70037i −0.0170881 0.326060i
\(713\) 0.0537111 + 0.00850701i 0.00201150 + 0.000318590i
\(714\) −21.6392 + 35.6540i −0.809827 + 1.33432i
\(715\) 39.7875 2.15474i 1.48797 0.0805826i
\(716\) −8.65064 14.9833i −0.323289 0.559954i
\(717\) 10.4123 + 8.43167i 0.388853 + 0.314887i
\(718\) 30.3578 19.7146i 1.13294 0.735742i
\(719\) 24.9908 5.31196i 0.932001 0.198103i 0.283200 0.959061i \(-0.408604\pi\)
0.648801 + 0.760958i \(0.275271\pi\)
\(720\) −5.70095 5.77353i −0.212462 0.215167i
\(721\) −3.34884 + 26.3075i −0.124717 + 0.979744i
\(722\) −6.62393 + 3.37506i −0.246517 + 0.125607i
\(723\) 3.22211 + 61.4814i 0.119831 + 2.28652i
\(724\) 1.17904 + 11.2178i 0.0438187 + 0.416907i
\(725\) −6.98406 7.95673i −0.259381 0.295506i
\(726\) −9.18507 26.7899i −0.340890 0.994266i
\(727\) −23.1306 + 23.1306i −0.857866 + 0.857866i −0.991086 0.133221i \(-0.957468\pi\)
0.133221 + 0.991086i \(0.457468\pi\)
\(728\) −2.53059 + 13.9881i −0.0937899 + 0.518432i
\(729\) −35.0762 + 11.3969i −1.29912 + 0.422109i
\(730\) 33.2001 1.52944i 1.22879 0.0566071i
\(731\) −20.8457 46.8202i −0.771006 1.73171i
\(732\) −4.43811 1.70363i −0.164037 0.0629680i
\(733\) −42.6745 27.7131i −1.57622 1.02361i −0.974357 0.225006i \(-0.927760\pi\)
−0.601860 0.798601i \(-0.705574\pi\)
\(734\) 7.32550 + 22.5456i 0.270389 + 0.832172i
\(735\) 37.6547 + 14.3574i 1.38891 + 0.529581i
\(736\) −0.00857295 −0.000316003
\(737\) −1.95525 + 1.78929i −0.0720224 + 0.0659092i
\(738\) −30.1308 + 8.07351i −1.10913 + 0.297190i
\(739\) −13.3519 + 1.40334i −0.491156 + 0.0516226i −0.346870 0.937913i \(-0.612755\pi\)
−0.144287 + 0.989536i \(0.546089\pi\)
\(740\) −15.2155 1.69658i −0.559333 0.0623676i
\(741\) −67.6399 21.9775i −2.48481 0.807365i
\(742\) −8.73785 + 1.18847i −0.320776 + 0.0436301i
\(743\) 29.3448 4.64775i 1.07656 0.170510i 0.407116 0.913376i \(-0.366534\pi\)
0.669439 + 0.742867i \(0.266534\pi\)
\(744\) 3.39551 + 15.9746i 0.124485 + 0.585657i
\(745\) −26.6598 10.4277i −0.976740 0.382041i
\(746\) 1.86055 + 17.7020i 0.0681198 + 0.648116i
\(747\) 41.5803 + 11.1414i 1.52135 + 0.407643i
\(748\) 15.2001 + 13.4657i 0.555770 + 0.492357i
\(749\) 16.6262 + 30.3112i 0.607507 + 1.10755i
\(750\) −28.5110 + 3.96271i −1.04107 + 0.144698i
\(751\) 21.4748 23.8502i 0.783626 0.870305i −0.210604 0.977571i \(-0.567543\pi\)
0.994230 + 0.107266i \(0.0342097\pi\)
\(752\) 2.20090 + 0.115345i 0.0802587 + 0.00420618i
\(753\) −23.2713 + 60.6238i −0.848054 + 2.20926i
\(754\) 1.18917 11.3142i 0.0433069 0.412038i
\(755\) −26.3241 13.6232i −0.958031 0.495799i
\(756\) −4.16797 0.981773i −0.151588 0.0357068i
\(757\) 32.3802 + 5.12852i 1.17688 + 0.186399i 0.714080 0.700064i \(-0.246845\pi\)
0.462799 + 0.886463i \(0.346845\pi\)
\(758\) −33.5165 8.98073i −1.21738 0.326195i
\(759\) 0.0521794 + 0.0513441i 0.00189399 + 0.00186367i
\(760\) −11.4410 + 1.12938i −0.415007 + 0.0409668i
\(761\) 21.0813 47.3495i 0.764198 1.71642i 0.0689797 0.997618i \(-0.478026\pi\)
0.695218 0.718799i \(-0.255308\pi\)
\(762\) 44.9458 + 22.9010i 1.62821 + 0.829616i
\(763\) 2.89722 38.9454i 0.104886 1.40992i
\(764\) −12.4697 + 17.1630i −0.451137 + 0.620937i
\(765\) −24.5669 43.1796i −0.888219 1.56116i
\(766\) −2.45422 + 2.20979i −0.0886744 + 0.0798428i
\(767\) −3.19737 4.92351i −0.115450 0.177778i
\(768\) −0.922658 2.40361i −0.0332936 0.0867327i
\(769\) 1.32803 0.0478898 0.0239449 0.999713i \(-0.492377\pi\)
0.0239449 + 0.999713i \(0.492377\pi\)
\(770\) 10.1511 16.7915i 0.365821 0.605124i
\(771\) −0.413320 −0.0148854
\(772\)